Is urgent and will mark brainliest.

What is √33?
Place a dot on the number line at the best approximation.

Please and Thank you!!​

Is Urgent And Will Mark Brainliest. What Is 33?Place A Dot On The Number Line At The Best Approximation.Please

Answers

Answer 1

Answer:

≈ 5.7

Explanation:

Place the dot at the 7th notch after 5

Hope this helps! :)

Answer 2

~ 5.74 place the dot 3 lines before the 6


Related Questions

decide if the graphs of each pair will be parallel, perpendicular or neither.
a. y = -2x + 5 and y = 1/2x - 7
b. y = 3x + 9 and 3y - x = 6
c. 4y - x = 8 and y = 1/4x - 3

part b //
find the equation of the line that is:
a. parallel to y = 3x - 5 and passes through (-2, 1).
b. perpendicular to y = -2/5x + 7 and passes through (4, 6).

Answers

so parallel is just numbers with the same slope but different x value

and perdicular is the One with different signs and oppisite reciprocals

a) perpendicular because -2 is the oppisite sign and reciprocal of 1/2

b)neither

c) niether

and B)

a) 3x-2

b)y=5/2 +4

i think

find the area of the segment of a circle whose radius is 3cm and subtends an angle of 2/3π​

Answers

[tex]\bf \textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}-sin(\theta ) \right)~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&3\\ \theta =&\stackrel{radians}{\frac{2\pi }{3}}\\ &\stackrel{degrees}{120} \end{cases} \\\\\\ A=\cfrac{3^2}{2}\left(\cfrac{\pi (120) }{180}-sin(120^o) \right)\implies A=\cfrac{9}{2}\left(\cfrac{2\pi }{3}-\cfrac{\sqrt{3}}{2} \right) \\\\\\ A \approx \cfrac{9}{2}(1.23)\implies A\approx 5.535[/tex]

Theses prisms are similar. Find the surface area of the larger prism. Round to the nearest tenth. Please Need Help Badly.

Answers

Answer:

823.7 m²

Step-by-step explanation:

Given the ratio of sides = 5 : 6, then

the ratio of area = 5² : 6² = 25 : 36

let x be the area of the larger prism then by proportion

[tex]\frac{25}{572}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )

25x = 36 × 572 ( divide both sides by 25 )

x = [tex]\frac{36(572)}{25}[/tex] ≈ 823.7

The surface area of the larger prism is 823.7 ( nearest tenth )

Answer: 823.7

Step-by-step explanation: (5/6)^2, cross multiply with 572/SA, 572*36/25 = 823.68, rounded to the nearest tenth is 823.7

The sum of two numbers 104 their difference 6 ..Find the numbers

Answers

Answer:

The numbers are 49 and 55

Step-by-step explanation:

The sum of two numbers 104

x+y = 104

their difference 6

x-y = 6

Add the two equations together to eliminate y

x+y = 104

x-y = 6

------------------

2x = 110

Divide by 2

2x/2 =110/2

x = 55

x+y = 104

55+y =104

Subtract 55 from each side

55-55+y = 104-55

y =49

Final answer:

To find the two numbers that add up to 104 and have a difference of 6, we solve a system of equations and discover that the numbers are 55 and 49.

Explanation:

The question asks us to find two numbers whose sum is 104 and whose difference is 6. To find the numbers, we can set up a system of equations. Let the two numbers be x and y.

x + y = 104 (sum of the numbers)

x - y = 6 (difference of the numbers)

We solve these equations simultaneously. Adding both equations, we get:

2x = 110

x = 55

Substitute x = 55 in the first equation to find y:

55 + y = 104

y = 104 - 55

y = 49

So, the two numbers are 55 and 49.

250 employees in an organization were surveyed, and the following data was collected about their hair color and height: Which inference can be made from this two-way table? A. Being above 180 centimeters and having black hair are independent of each other. B. Being above 180 centimeters is dependent on having black hair. C. Having black hair is dependent on being above 180 centimeters. D. Being above 180 centimeters and having black hair are the same.
Hair
Color Height
Less than
175 cm 175-180 cm Above 180 cm Total
Black 38 32 30 100
Brown 27 24 19 70
Blonde 21 33 26 80
Total 86 89 75 250

Answers

Answer:

A. Being above 180 centimeters and having black hair are independent of each other.

Step-by-step explanation:

These are instinctively two characteristics that are not related and the table data proves it.

If they were dependent, you would have only people with black hair above 180 cm, and all people with black hair would be above 180 cm.

You can be above 180 cm and have black, brown or blonde hair. The table shows a proportion of people > 180 cm about equal (around 30% of the sampling) for each hair color.

And people above 180 cm only represent 30% of the people with black hair.

Answer:

Option: A is the correct answer.

     A. Being above 180 centimeters and having black hair are independent of each other.

Step-by-step explanation:

Height :         Less than  175 cm  175-180 cm Above 180 cm     Total

Hair  Color

   Black                    38                        32                  30               100

  Brown                    27                        24                  19                70

  Blonde                    21                        33                  26                80

  Total                    86                89                  75                250

Two events A and B are said to be independent if:

     [tex]P(A\bigcap B)=P(A)\times P(B)[/tex]

else they are dependent.

A)

Being above 180 centimeters and having black hair are independent of each other.

Let A denote Black hair

and B denote above 180 cm.

[tex]P(A)=\dfrac{100}{250}=\dfrac{10}{25}[/tex]

and [tex]P(B)=\dfrac{75}{250}=\dfrac{3}{10}[/tex]

This means that:

 [tex]P(A)\times P(B)=\dfrac{10}{25}\times \dfrac{3}{10}=\dfrac{3}{25}[/tex]

Also,

[tex]P(A\bigcap B)=\dfrac{30}{250}=\dfrac{3}{25}[/tex]

Since,

[tex]P(A\bigcap B)=P(A)\times P(B)[/tex]

Hence, events A and events B are independent.

        Hence, option: A is correct.

what are the roots of the graph below

Answers

Answer is B. -4,-2,1,3

A quadratic function is graphically represented by a parabola with a vertex located at the origin, below the x-axis, or above the x-axis. .

The points at which the graph crosses or touches the x-axis, give the real roots of the function(or zeros of the function) represented by the graph.

If the graph touches the x-axis and turns back, then it would be a double root at that point. Roots are also called x-intercepts or zeros.

The roots of the graph are Option B -4, -2, 1, and 3.

Which one is a quadratic equation?

The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x^2 + 3x + 1. y = x^2.

what is  quadratic equation?

The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠0)

Learn more about quadratic equations, refer to:

https://brainly.com/question/10606041

#SPJ2

how do you solve #7? the answer is d1=8 and d2=14; but how do you solve it?

Answers

Answer:

8 ft and 14 ft

Step-by-step explanation:

Let one diagonal be x then the other diagonal is 2x - 2

The area (A) of the rhombus is calculated using

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = [tex]\frac{1}{2}[/tex] x(2x - 2) = 56

Multiply both sides by 2

x(2x - 2) = 112 ← distribute left side

2x² - 2x = 112 ( subtract 112 from both sides )

2x² - 2x - 112 = 0 ← in standard form ( divide through by 2 )

x² - x - 56 = 0

To factor the quadratic

Consider the factors of the constant term (- 56) which sum to give the coefficient of the x- term (- 1)

The factors are - 8 and + 7, since

- 8 × 7 = - 56 and - 8 + 7 = - 1, thus

(x - 8)(x + 7) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x + 7 = 0 ⇒ x = - 7

However, x > 0 ⇒ x = 8

One diagonal = 8 ft and the other = 2x - 2 = (2 × 8) - 2 = 16 - 2 = 14 ft

Write the given equation in exponential form.



log7 = -6

Answers

Answer:

[tex]10^{-6}=7[/tex]

Step-by-step explanation:

Remember that according to the laws of logarithms if [tex]log_ay=x[/tex], then [tex]a^x=y[/tex],

In other words to convert a logarithm to an exponential equation we just need to raise the base of the logarithm to the result and equate that to the argument of the logarithm.

Since our logarithm does not have a base, its base is 10; therefore [tex]a=10[/tex]. The argument of our logarithm is 7, so [tex]y=7[/tex]. The result of our logarithm is -6, so [tex]x=-6[/tex].

Replacing values

[tex]log_ay=x[/tex] ⇔ [tex]a^x=y[/tex]

[tex]log_{10}7=-6[/tex] ⇔ [tex]10^{-6}=7[/tex]

By the way [tex]log_{10}7=-6[/tex] is not a true equation since [tex]10^{-6}\neq 7[/tex].

Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value of $13.10. The number of quarters was 15 more than 3 times the number of dimes. How many quarters and how many dimes did Peter have?

Answers

Answer: Peter had 48 quarters and 11 dimes.

Step-by-step explanation:

Let be "q" the number of quarters and "d" the number of dimes.

We know that $13.10 in cents is 1,310 cents. Then, we can set up the following system of equations:

[tex]\left \{ {{25q+10d=1,310} \atop {q=3d+15}} \right.[/tex]

Applying the Substitution method, we can substitute the second equation into the first one and solve for "d":

[tex]25(3d+15)+10d=1,310\\\\75d+375+10d=1,310\\\\85d=1,310-375\\\\d=\frac{935}{85}\\\\d=11[/tex]

Finally, we must substitute the value of "d" into the second equation to find the value of "q". Then:

[tex]q=3(11)+15\\\\q=33+15\\\\q=48[/tex]

Peter had 48 quarters and 11 dimes

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination MethodSubstitution MethodGraph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Number of quarters ( 25 cent coins ) = x

Number of dimes ( 10 cent coins ) = y

When he counted his quarters and dimes, he found they had a total value of $13.10.

0.25x + 0.10y = 13.10

The number of quarters was 15 more than 3 times the number of dimes.

x = 15 + 3y

If we would like to use the Substitution Method , then second equations above could be substituted into first equations.

0.25x + 0.10y = 13.10

0.25 (15 + 3y) + 0.10y = 13.10

3.75 + 0.75y + 0.10y = 13.10

0.85y = 13.10 - 3.75

0.85y = 9.35

y = 9.35 / 0.85

y = 11

At last , we could find the value of x by substituting this y value into one of the two equations above :

x = 15 + 3y

x = 15 + 3(11)

x = 15 + 33

x = 48

Learn morePerimeter of Rectangle : https://brainly.com/question/12826246Elimination Method : https://brainly.com/question/11233927Sum of The Ages : https://brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

A printer can print 27 pages in 4.5 min. How much time does it need to print 324 pages?

Answers

Answer:

54 minutes

Step-by-step explanation:

We can write a proportion to solve this problem.  Put the number of pages over the minutes

27 pages           324 pages

--------------    = ---------------

4.5 minutes         x minutes

Using cross products

27 * x = 324 * 4.5

27x = 1458

Divide each side by 27

27x/27 = 1458/27

x =54

What is the midpoint of BC?
A.5,5
B.5,6
C.3,5
D.6,5

Answers

Answer:

(5,6)

Step-by-step explanation:

First, count how many units are between b and c, that is 10, half of that is 5 units because they want the mid point so we divided by 2 but now you are going to count 5 units from point b so the y value isn't isn't 5. So from b, count 5 units upwards which lands at 6 so that is the y value. Now you move from their to the right to touch the line (if you understand what i mean) and that would fall at the value of 5. so x is equal 5. Coordinate: (x,y)=(5,6). Hopefully that helped.

The midpoint of the line BC is (5,6).

What is midpoint of a line?

The midpoint of a line segment is the point equidistant from its endpoints. It is calculated as the average of the x-coordinates and y-coordinates of the endpoints.

Midpoints are crucial in geometry for construction, line segment division, and coordinate geometry. They play roles in physics, engineering, and bisection problems, contributing to spatial reasoning and problem-solving.

The midpoint M of a line segment with endpoints B(x₁, y₁) and C(x₂, y₂) is calculated as:

M = (x₁ + x₂)/2, (y₁ + y₂)/2.

So, for points B(2, 1) and C(8, 11) the midpoint is:

M(2 + 8)2, (1 + 11)/2

= 10/2, 12/2

= (5, 6).

The midpoint of the line BC is (5,6).

learn more about midpoint here

https://brainly.com/question/24431553

#SPJ3

if f(x) = x to the 3rd power minus 2x to the 2nd power, what expression is equivalent to f(i)

Answers

[tex]

f(x)=x^3-2x^2 \\

f(i)=i^3-2i^2=\boxed{-i+2}

[/tex]

Hope this helps.

r3t40

which line is it? help asap

Answers

The correct answer is line q

Answer:

q

Step-by-step explanation:

The equation of a line in the form

y = mx ( m is the slope ) passes through the origin

y = 2x is in this form

The only graph to pass through the origin is q

which of the following choices simplified the expression:

Answers

Hello!

The answer is:

The correct option is the second option:

[tex]\frac{5}{2},\frac{-1}{2}[/tex]

Why?

We are given the following expression:

[tex]\frac{2+-\sqrt{9}}{2}[/tex]

Now, solving we have:

First solution:

[tex]\frac{2+\sqrt{9}}{2}=\frac{2+3}{3}=\frac{5}{2}[/tex]

Second solution:

[tex]\frac{2-\sqrt{9}}{2}=\frac{2-3}{3}=\frac{-1}{2}[/tex]

Hence, we have that the correct option is the second option:

[tex]\frac{5}{2},\frac{-1}{2}[/tex]

Have a nice day!

Answer:

The correct answer is second option

5/2, -1/2

Step-by-step explanation:

From the attached figure we can see that,

(2 ± √9 )/2

To find the simplified form of (2 ± √9 )/2

(2 ± √9 )/2 = (2 + √9 )/2 or (2 - √9 )/2

(2 + √9 )/2 = (2 + 3)/2 = 5/2

(2 - √9 )/2 =  (2 - 3)/2 = -1/2

Therefore simplified form of (2 ± √9 )/2 are

5/2 and -1/2

The correct answer is option 2

A store is having a sale, each customer receives either a 15% discount on purchases under 100% or a 20% discount on purchases of $100 or more. Kelly is purchasing some clothes for $96.60 before the discount. She decides to buy the fewest packs of gum that will increase her purchase to over $100. The price of each pack of gum is $0.79. After the discount, how much less will kelly pay by purchasing the clothes and the gum instead of purchasing only the clothes? (Assume there is no sales tax to consider.) please help this is almost due please help I mark brainliest!!!​

A. $1.05

B. $1.67

C. $3.69

D. $3.87

Answers

Answer:  b

Step-by-step explanation:

15% of the $96.6 clothes only is $14.49

in order to get over 100 dollars kelly would have to purchase 5 packages of gum

5 times .79 = $3.95

With the gum the total would be $100.55 divided by 20% = $20.11

$20.11 - $14.49 = $5.62  however you need to subtract the price of the gum also

$5.62 - $3.95 = $1.67

B....

Its right trust!

In a (blank),one ratio compares a part to a whole

Answers

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

Final answer:

In mathematics, a fraction is an example of a ratio that compares a part to a whole. Understanding this is crucial for analyzing parts and how they conform to the whole. Another practical illustration of this concept is through a pie graph, which represents the whole and its parts.

Explanation:

In a fraction, one ratio compares a part to a whole. This goes along with a concept in Mathematics where it's useful to take into consideration the parts that contribute to the totality of a whole. An example of this can be seen in numbers. If we look at the relationship between a part and a whole in a ratio, for example, the mass ratio of copper and chlorine in a certain compound, we can gain significant insights.

Another approach is to use a pie graph, which is a graphical representation showing how a whole is divided into parts. The whole circle showcases the entire group, while each slice or part shows the relative size or percentage it contributes to the whole. This visualization makes it easy to understand the relationship between parts and the whole.

Learn more about Fraction and Ratio here:

https://brainly.com/question/6839921

#SPJ3

the funtions f(x) and g(x) are graphed below. If g(x)= f(x+k), what is the value of k​

Answers

Answer:

k=6

Step-by-step explanation:

We are given a graph of the function f(x) and g(x) such that both the graphs are parabola and the graph of g(x) is a shift of graph of f(x) some units to the left.

The vertex of the graph of f(x) is at x=4

whereas the vertex of the graph of the function g(x) is at x= -2.

This means that the graph of g(x) is a shift of the graph of f(x) 6 units to the left.

This means that:

g(x)=f(x+6)

( Since the translation of a function f(x) k units either to the left or to the right is denoted by:

f(x+k)

when k>0 the shift is to the left and if k<0 the shift is to the right.)

This means that the value of k is 6

help please

if the first term of a sequence is 8 and the tenth term is 53 what is the common difference?


step by step please

Answers

Answer:

Common difference = 5.

Step-by-step explanation:

General term of an arithmetic sequence is a1 + (n - 1)d where a1 = first term and d = common difference.

So here the first term is  8 + (1-1)d = 8 and the 10th term = 8 + (10-1)d = 53

giving 8 + 9d = 53

9d = 45

d = 5.

Final answer:

To calculate the common difference in an arithmetic sequence, subtract the first term from the tenth term and divide by 9 (the number of terms subtracted by one). In this case, (53-8)/9 gives the common difference as 5.

Explanation:

The student's question regards finding the common difference in an arithmetic sequence. In an arithmetic sequence, the difference between any two consecutive terms is constant. This is called the 'common difference'.

To find the common difference, you subtract the first term from the tenth term and divide by the number of terms subtracted by one. In this case, the tenth term is 53 and the first term is 8. So, you subtract 8 from 53, giving you 45. Then you divide 45 by (10-1), which is 9, giving a common difference of 5. Therefore, the common difference for this arithmetic sequence is 5.

Learn more about Arithmetic sequence here:

https://brainly.com/question/35880655

#SPJ3

If a-b=3:25 and b:c=105 then find the value of a:b:c​

Answers

Answer:

b=3:25 and b:c=105 3:25/105

Step-by-step explanation:

{3}{25}}{105}={1}{875}=0.00114

{3}{25.105}

{3}{2625}

=1/875

Hope this helps

25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rule from the table below. Then write a function rule.

x 2 4 6
y 1 0 –1

Answers

Answer:

y = -1/2x +2

Step-by-step explanation:

The linear and quadratic function rules we usually study in algebra come in several forms.

For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.

The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) + y1

point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.

y = (0 -1)/(4 -2)·(x -2) +1

y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.

If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:

y = -1/2x +2

Answer:

notice that every time x increases by 2, y decreases by 1. So, a first guess would be

y = -1/2 x

But, -1/2 (2) = -1, and y(2) = 1, so we need to add 2 at the start. So,

y = 2 - 1/2 x

This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.
What is the approximate area of this composite figure? Use 3.14 for pi and round to the nearest whole number.
46 ft2
74ft2
88 ft2
117ft2

Answers

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

[tex]

A_{rectangle}=a\cdot b \\

A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}

[/tex]

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

[tex]

A_{rectangle}=10\cdot 6=\underline{60} \\

A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\

A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}

[/tex]

The area of the figure is approximately 74ft squared.

Hope this helps.

r3t40

Answer:

B

Step-by-step explanation:

If Salvador checks his pulse for 8 minutes, what is his rate if he counts 904 beats?

Answers

Answer:

113 beats per minute.

Step-by-step explanation:

904 / 8 = 113

The pulse rate in Salvador is 113 beats per minute.

What is the pulse rate?

The pulse rate is a measurement of the number of times the heart beats per minute. As the heart pushes blood through the arteries, the arteries expand (diastole) and contract (systole) with the flow of the blood. A pulse not only measures the heart rate but also can indicate the Heart rhythm.A normal resting heart rate for adults ranges from 60 - 100 beats per minute. Generally, a lower heart rate at rest implies more efficient heart function and better cardiovascular fitness.

calculation:

    ⇒number pf heartbeat count = 904

    ⇒time of count= 8 minutes

    ⇒pulse rate= 904/8

                  =113 beats per minute.

Learn more about pulse rate here:https://brainly.com/question/11245663

#SPJ2


What is the sum of the measures of the interior angles of a 15-sided polygon?
A. 3060°
B. 2340
c. 1500°
D. 27000

Answers

Answer:

B. 2340

Step-by-step explanation:

Interior angles of a polygon is given by

(n – 2)180 where n is the number of sides

(15-2) *180

13*180

2340

B. 2340

Step-by-step explanation:

Interior angles of a polygon is given by

(n – 2)180 where n is the number of sides

(15-2) *180

13*180

2340

Louisa used a gift card to pay for 3 meals at a vegetarian restaurant. Each meat cost $7. By how much has the value of the gift card changed after the purchase of the meals?

A.-$10
B.+$10
C.$7
D.-$21

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.-$21

Step-by-step explanation:

Rearrange the equation below to solve for y.
6x+6y= 24

Answers

Answer:

y = -x + 4

Step-by-step explanation:

Step 1: Use the subtraction property of equality

6y = -6x + 24

Step 2: Use the division property of equality

y = -x + 4

Answer:

y = -x +4

Step-by-step explanation:

6x+6y= 24

Subtract 6x from each side

6x-6x+6y=-6x+ 24

6y = -6x+24

Divide by 6 on each side

6y/6 = -6x/6 +24/6

y = -x +4

Q(t)=Q(0)e^pt
The above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemical element after t years and p is a constant. It is known that every 1600 years the amount of the chemical element drops to half ( its half-life is 1600 years). If the term e^p in the above equation can be replaced by the term x^y, where both x,y rational numbers, what is x and y?

(a) x=sqrt{frac{1}{2}}, y=frac{1}{1600}

(b) x=frac{1}{2}, y=frac{1600}{3}

Answers

The constant p is determined by the half-life of 1600 years, and since after one half-life, the amount of the element is half of its initial value, we find that x=1/2 and y=1/1600, as e^p can be expressed as (1/2)^(1/1600). Therefore, option (a) is the correct answer.

The equation Q(t) = Q(0)e^pt describes an exponential decay process, such as the decay of a chemical element over time. Given that the half-life of the chemical element is 1600 years, after this period the quantity of the element will be half of its original amount. According to the properties of exponential decay, we know that after one half-life, Q(t) = Q(0)/2.

Substituting t = 1600 into the equation and knowing that Q(1600) = Q(0)/2, we get Q(0)/2 = Q(0)e^(1600p). Simplify by dividing both sides by Q(0), resulting in 1/2 = e^(1600p). To find p, take the natural logarithm of both sides, yielding ln(1/2) = 1600p ln(e), and since ln(e) = 1, we have p = ln(1/2)/1600.

Now, to express e^p as x^y, with both x and y being rational numbers, we look for a rational base x that can represent e^ln(1/2), which simplifies to (1/2). So, x would be 1/2, and because the half-life is 1600 years, y will be proportional to the fraction of that time. Hence, y = t/1600, where t is time in years. From this, you can infer that the base x equals 1/2 and y is 1/1600 for each year surpassing the half-life. Therefore, the correct answer is (a) x = sqrt(1/2), y = 1/1600.

I need help PLEASE no one has answered my question yet!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED NUMBER 2

Answers

2. First you need to know about the pythagorean theorem which is

a^2 + b^2 = c^2. Look at the first picture below for more reference.

Next you use the pythagorean theorem to find out the right triangle sides to then know the length and width of the rectangle.

a = 8

b = unknown

c = 10

Now use algebraic steps. 8^2 + b^2 = 10^2 --) 64 + b^2 = 100 --) b^2 = 36 --)

b = 6 .

Finally you know the length which is 8 + 8 = 16 and the width which is 6, so the area of the rectangle is 16 x 6 = 96. And to look apporpriate 96in.^2 .

Determine which equations have the same solution set
WIN
+ 1 = 6x by recognizing properties, rather than
solving. Check all that apply.
4 - 6x + 1 = 36x
E-x= 6x
4- x + 1 = 6x
+x= 6x
5 = 30x
5 = 42x

Answers

The equations that have the same solution set are equations 1, 3, 5, and 6.

How to determine the equation that has the same set of equation

To determine which equations have the same solution set without solving them, we can analyze the equations and identify any properties that indicate equivalent solutions. Let's examine each equation:

1. WIN + 1 = 6x

2. 4 - 6x + 1 = 3

3. 6x - x = 6x

4. 4 - x + 1 = 6x

5. x = 6x

6. 5 = 30x

7. 5 = 42x

Equations with the same solution set:

- Equations 1 and 3 both have the term "6x" on one side and a different expression on the other side. They indicate that the solution for x is the same.

- Equations 5 and 6 both have the same equation "x = 6x", which implies the solution for x is the same.

Therefore, the equations that have the same solution set are equations 1, 3, 5, and 6.

Learn more about equations at https://brainly.com/question/29174899

#SPJ1

Answer:

The correct answers are

Step-by-step explanation:

1 2 6

Graph the given inequality. y ≤ 4 – | x |

Answers

Answer:

The graph is included in the attached pictures

Step-by-step explanation:

The graph for y=4-|x| is shown in the attached picture, the inequality tell us that the region is located below that particular graph including the function, hence you have the second attached picture

At a pizza shop, 80% of the customers order a pizza, 15% of the customers
order a salad, and 10% of the customers order both a pizza and a salad.
If a customer is chosen at random, what is the probability that he or she
orders either a pizza or a salad?

Answers

90% out of 105% which would be 0.85

Answer: 0.85

Step-by-step explanation:

Let A be the event that the customer orders a pizza and B be the event that the customer orders a salad.

Then , we have [tex]P(A)=80\%=0.80[/tex]

[tex]P(B)=15\%=0.15[/tex]

[tex]P(A\cap B)=10\%=0.10[/tex]

Now, the probability that he or she  orders either a pizza or a salad is given by :-

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow\ P(A\cup B)=0.80+0.15-0.10=0.85[/tex]

Hence, the required probability = 0.85

Other Questions
What year did washington dc became the capital which best explains how the structure of this passage supports the authors purpose help needed on highlighted questions! 20 points Please answer this correctly Which color of visible light has the longest wavelength? How could the people of a town show their displeasure toward their mayor if the mayor was ever convicted of serious wrongdoing? What path does energy travel as it changes from kinetic to electrical energy in a hydroelectric plant? channel - turbine - generator - river - reservoir river - reservoir - channel - turbine - generator reservoir - channel - turbine - river - transformer channel - turbine - transformer - reservoir - river Monique only has $36 to buy pens and notebooks. Each pen costs $2. Eachnotebook costs $3. Which of the following graphs represents the possiblecombinations of pens and notebooks that she may purchase? James is 1.63 meters tall. Write Jamess height in word form. Explain how you Found your answer. Name three categories that are used to classify the elements in the periodic table? Use C8H18 as the formula for gasoline and 0.71g/mL as its density. If a car gets 31.2 miles per gallon, what volume of CO2 measured at 28C and 732 torr is produced on a trip of 235 miles? Assume complete combustion of gasoline. A family of four went to an amusement park for their vacation. They started the vacation with $382. They spent a total of $150 the first three days. If they divided the remainder of the money evenly, how much did each person have to spend? Which statement is true about these ailments? A. A pulmonary embolism can't be fatal. B. A pulmonary embolism isn't painful. C. Leg DVTs can travel to the lungs, causing a pulmonary embolism. D. A clot that develops in the heart can't travel to the brain and cause stroke. Why did some northerners support personal liberty laws? The Fugitive Slave Act paid judges more if they ruled against slave owners. They resented federal intervention in the affairs of independent states. The Christiana Riot showed that slave owners would violently resist the law. They believed runaway slaves should be returned to their owners in the South. Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equation can be used to determine how many pages Faith read each night? how does carbon dioxide malfunction What is the measure of DAB? Enter your answer in the box. 7. Which describes how the MyPyramid plan is structured?It is the same for everyone at each activity level.It is the same for everyone.It differs according to the foods people eat.It differs according to a person's age, sex, and activity level. The function v(t) 1350(1.017)t represents the value v(t), in dollars, of a comic book t years after its purchase. the yearly rate of appreciation of the comic book is please help!!!!!30 pts!! Steam Workshop Downloader