Lines a and b are parallel.

what is the measure of angle b

enter in the box


B=

Lines A And B Are Parallel. What Is The Measure Of Angle Benter In The Box B=

Answers

Answer 1

Answer:

Ans _ angle b = 79

Hope it helps

Answer 2

∠B4 = ∠A2

b° = 79°

hope this helps :)

Lines A And B Are Parallel. What Is The Measure Of Angle Benter In The Box B=

Related Questions

Perform the indicated operation. (2x + y)(3x2 + y)
WILL CHOOSE FIRST W/ RIGHT ANSWER BRAINLIEST!!!!!!!!

Answers

Answer:

Step-by-step explanation:

(2x+y)(3x²+y)=2x(3x²+y)+y(3x²+y)=6x³+2xy+3x²y+y²=6x³+3x²y+2xy+y²

In a large class of introductory Statistics students, the professor has each person toss a coin 16 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. How much variability would you expect among these proportions?

Answers

Answer:

Variability expected among these Proportions is given by Standard deviation = 0.125

Step-by-step explanation:

The probability of tossing heads is the same for a fair coin as the probability of tossing tails.

The probability of tossing heads is then 1 chance out of 2

P = 1/2 = 0.5

The standard deviation of the sample distribution of the sample proportion = √Pq/n

Standard deviation = √p(1-p)/n

= √0.5(1-0.5)/16

Standard deviation = 0.125

Final answer:

The variability among the proportions of heads obtained in the coin tosses is due to the random nature of the experiment. The law of large numbers explains that as the number of tosses increases, the observed relative frequencies of heads will approach the theoretical probability of 0.5.

Explanation:

The amount of variability that can be expected among the proportions of heads obtained by the students tossing a coin 16 times can be determined by understanding the concept of probability.

In a single coin toss, the probability of getting a head is 0.5. However, when the coin is tossed more times, the observed proportions of heads will vary from the theoretical probability of 0.5.  

The variability among these proportions is attributed to the random nature of the coin tosses and is due to the fact that the short-term results of an experiment do not necessarily match the theoretical probability. The law of large numbers states that as the number of repetitions of an experiment is increased, the observed relative frequencies of heads will tend to become closer to the theoretical probability of 0.5.

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PLEASE HELP!!
Mario simplified the expression (4z^8)^-3 as shown.

(4z^8)^-3 = 4z^8 x (-3) = 4z^-24 = 4/z^24

Which statement explains Mario’s error?
He should have added the exponents instead of multiplying them.
He should have subtracted the exponents instead of multiplying them.
He should have applied the exponent –3 to 4, and not to z, to get 4^-3z^8 = 4^-3z^8 = z^8/64.
He should also have applied the exponent –3 to 4 to get 4^-3z^8 x (-3) = 4^-4 z^-24 = 1/64z^24.

Answers

Answer:

The answer to your question is the last choice

Step-by-step explanation:

                               [tex](4z^{8})^{-3}[/tex]

Process

1.- Use the exponent law "Power"

                               [tex]4^{-3} z^{(8)(-3)}[/tex]

2.- Simplify

                               [tex]4^{-3} z^{-24}[/tex]

3.- Use the exponent law "Negative exponent"

                               [tex]\frac{1}{4^{3} z^{24}}[/tex]

                               [tex]\frac{1}{64z^{24}}[/tex]

4.- Conclusion    

He should have applied the exponent -3 to 4 to get   [tex]\frac{1}{64z^{24}}[/tex]            

Answer:

d

Step-by-step explanation:

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of $6,000 is deposited in an account at an annual interest rate of 6​% and the interest is compounded quarterly.

Answers

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577

2 math questions. Please show your work if you can, I struggle with this, Thanks !!
20pts

Answers

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

y₁ = log₃(5x)

y₂ = log₅(2x + 8)

The solution is where the two curves cross.  From the graph, that happens at x ≈ 0.957.

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Which of the following describe the function

g(x) = log2 (x - 2) – 3.

Choose ALL that apply.

The domain is the set of all real number greater than 2.

The x-intercept = ( 10,0) and there is no y-intercept

Avertical asymptote at x = 2.

There is no x-intercept and the y-intercept = (0,10 ).

The domain is the set of all real numbers less than 2

The graph of g(x) is symmetric to its inverse exponential function over the line y = 0

The graph of g(x) is symmetric to its inverse exponential function I’ve ether like y = x

A vertical asymptote at x = 10

Answers

Answer:

From the plot and from inspection of the equation the following are true

a.) The domain is the set of all real numbers greater than 2

b.) The x-intercept = (10,0) and there is no y-intercept

c.) A vertical asymptote is at x = 2

f.) The graph of g(x) is symmetric to its inverse exponential function over the line y = x

Step-by-step explanation:

The plot of the graph is attached.

From the plot and from inspection of the equation the following are true

a.) The domain is the set of all real numbers greater than 2

b.) The x-intercept = (10,0) and there is no y-intercept

c.) A vertical asymptote is at x = 2

f.) The graph of g(x) is symmetric to its inverse exponential function over the line y = x

___________ is the level of measurement where outcomes are based on some underlying continuum where it is possible to speak about how much more a higher performance is than a lower one:

Answers

Answer:

Interval level of measurement

Step-by-step explanation:

Interval level of measurement:

Interval level of measurement specifies the difference in two measurement on scale.Here, the difference between two values have meaning.Here, the negative value of measurement makes sense.The true zero does not exist.For example: Temperature.

Thus,

Interval level of measurement is the level of measurement where outcomes are based on some underlying continuum where it is possible to speak about how much more a higher performance is than a lower one:

Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot? x squared (RootIndex 4 StartRoot x squared EndRoot) x2.2 x cubed (RootIndex 4 StartRoot x EndRoot) x5

Answers

Answer:

The option x squared ( root index 4 start root x squared end root) is correct

Therefore the equivalent expression to the given expression is [tex]x^2\sqrt[4]{x^2}[/tex]

Step-by-step explanation:

Given expression is [tex]\sqrt[4]{x^{10}}[/tex]

To find the equivalent expression to the given expression :

[tex]\sqrt[4]{x^{10}}[/tex]

[tex]=\sqrt[4]{x^{8+2}}[/tex]

[tex]=\sqrt[4]{x^8.x^2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\sqrt[4]{x^{2\times 4}.x^2}[/tex]

[tex]=\sqrt[4]{(x^2)^4x^2}[/tex] ( using the peoperty [tex]a^{mn}=(a^m)^n[/tex] )

[tex]=\sqrt[4]{(x^2)^4}\times \sqrt[4]{x^2}[/tex] ( using the property [tex]\sqrt{ab}=\sqrt{a}\times \sqrt{b}[/tex] )

[tex]=x^2\sqrt[4]{x^2}[/tex]

Therefore [tex]\sqrt[4]{x^{10}}=x^2\sqrt[4]{x^2}[/tex]

Therefore the equivalent expression to the given expression is [tex]x^2\sqrt[4]{x^2}[/tex]

The option "x squared (RootIndex 4 StartRoot x squared EndRoot)" is correct

That is [tex]x^2\sqrt[4]{x^2}[/tex] is correct

Answer:

the correct answer is A

Step-by-step explanation:

hope this helped

one base of a trapezoid is 3 times the length of the second base. the height of the trapezoid is 2in smaller than the second base if the area is 30 what is the length of both bases

Answers

Answer:

Length of bases of the trapezoid are 5 inch and 15 inch.

Step-by-step explanation:

Let the length of the second base be 'x'.

Given:

one base of a trapezoid is 3 times the length of the second base.

So we can say that;

Length of the first base = [tex]3x[/tex]

Also Given:

the height of the trapezoid is 2 in smaller than the second base

So we can say that;

Height of the trapezoid = [tex]x-2[/tex]

Area of the trapezoid = 30

We need to find the length of both the bases.

Solution:

Now we know that;

Area of trapezoid is equal to half of the sum of the length of two bases multiplied by height of the trapezoid.

framing in equation form we get;

[tex]\frac{x+3x}{2}\times(x-2)=30\\\\\frac{4x}{2}\times (x-2)=30\\\\2x(x-2)=30[/tex]

Now Dividing both side by 2 we get;

[tex]\frac{2x}{2}(x-2)=\frac{30}{2}\\\\x(x-2)=15\\\\x^2-2x-15=0[/tex]

Now we will find the roots by factorizing the equation we get;

[tex]x^2-5x+3x-15=0\\\\x(x-5)+3(x-5)=0\\\\(x+3)(x-5)=0[/tex]

Now we find the values of x by solving separately we get;

[tex]x+3=0 \ \ \ \ Or \ \ \ \ \ \ x-5=0\\\\x=-3 \ \ \ \ \ \ \ Or \ \ \ \ \ \ x=5[/tex]

Now we have got 2 values of 'x' one positive and one negative.

Now we know that length of the base of trapezoid cannot be negative hence we will discard it and consider the positive value of 'x'.

Length of second base = 5 in

Length of first base = [tex]3x=3\times5 =15\ in[/tex]

Hence Length of base of the trapezoid are 5 inch and 15 inch.

Worth 50 points and I will mark brainliest.
Use the linear combination method to solve the system of equations. Justify each step of your solution. Please explain the steps you used so I could learn.
-3x-7y= -28
2x+3y=7
Answer:

Answers

x= -13 , y=11

Step-by-step explanation:

Using elimination method, make the x variable equal to eliminate the variable

-3x - y = -28

2x+ 3y=7

2(-3x-y =28)

3(2x+3y=7)

-6x - 2y =56

6x +9y=21

Apply addition

7y = 77

y=77/7 = 11

Use the value of y=11 in  

2x+ 3y=7

2x +3(11) =7

2x +33 =7

2x=7-33

2x= -26

x= -26/2 = -13

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The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is rational" or as "For all x, if x is rational then x 2 is rational." Rewrite each of the following statements in the two forms "∀ x, " and "∀x, if , then " or in the two forms "∀ x and y, " and "∀x and y, if , then ."

a. The reciprocal of any nonzero fraction is a fraction.
b. The derivative of any polynomial function is a polynomial function.
c. The sum of the angles of any triangle is 180◦.
d. The negative of any irrational number is irrational.
e. The sum of any two even integers is even.
f. The product of any two fractions is a fraction.

Answers

Answer:

a.

For all non zero fraction 1(1/x), 1/x is a fraction

For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction

b.

For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function

For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function

c.

For all angles x,y,z of a triangle, the sum, x + y + z = 180

For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180

d.

For all irrational numbers x, -x is irrational

For all x, if x is irrational then -x irrational.

e.

For two integers, x and y, the sum x+y is an integer

For x,y if x and y are integers, then x + y is an integer

f.

For two fractions, x/y and a/b the product ax/by is a fraction

For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction

Final answer:

The statements have been rewritten in both universal quantification and conditional forms to describe relationships in mathematics, such as the property of being a fraction, polynomial function, or summing up to 180 degrees for triangles.

Explanation:

To rephrase the given statements in mathematical terms:

For all nonzero fractions x, if x is a fraction, then 1/x is a fraction.For all polynomial functions f(x), if f(x) is a polynomial function, then f'(x) is a polynomial function.For all triangles, if a figure is a triangle, then the sum of its angles is 180 degrees.For all irrational numbers x, if x is irrational, then -x is irrational.For all even integers m and n, if m and n are even, then m + n is even.For all fractions a and b, if a and b are fractions, then a * b is a fraction.

The heat flux through a wood slab 50 mm thick, whose inner and outer surface temperatures are 40 and 20°C, respectively, has been determined to be 40 W/m2. What is the thermal conductivity of the wood?

Answers

Answer:

[tex] k = - \frac{40 W/m^2}{\frac{20-40 C}{0.05 m}}= 0.1 \frac{W}{m C}[/tex]

Step-by-step explanation:

Previous concepts

The Fourier's law, states that the "rate of heat transfer through a material is proportional to the negative gradient in the temperature and to the area, at right angles to that gradient, through which the heat flows".

And we have the following formula given:

[tex] q_x = -k A \frac{dT}{dx}[/tex]

For this case we have the following data given:

[tex] L= 50 mm * \frac{1m}{1000 mm}=0.05m[/tex]

[tex] T_i = 40 C[/tex] represent the inner surface temperature

[tex] T_o = 20 C[/tex] represent the outer surface temperature

[tex] \frac{q_x}{A} = 40 W/m^2 [/tex] represent the heat flux

So then we are interested on the value of k.

Solution to the problem

if we solve for the value of k from the formula:

[tex] q_x = -k A \frac{dT}{dx}[/tex]

We got:

[tex] k = - \frac{q_x}{A \frac{dT}{dx}}[/tex]

We can rewrite this expression like this:

[tex] k = - \frac{q_x}{A \frac{T_o -T_i}{L}}[/tex]

And if we replace the values given we got:

[tex] k = - \frac{40 W/m^2}{\frac{20-40 C}{0.05 m}}= 0.1 \frac{W}{m C}[/tex]

Final answer:

Using Fourier's law of heat conduction, the thermal conductivity of the wood slab is calculated to be 0.1 W/m·K given a heat flux of 40 W/m², a temperature difference of 20°C, and a thickness of 50 mm.

Explanation:

The student is asking about the thermal conductivity of a wood slab, given its thickness, the temperature difference across it, and the heat flux. To find the thermal conductivity (k), we can use Fourier's law of heat conduction which states:

Q/t = k × A × (T2 − T1) / d

where:

Q/t is the rate of heat transfer (40 W/m²),k is the thermal conductivity,A is the cross-sectional area (not needed here as we have heat flux per unit area),(T2 − T1) is the temperature difference across the material (40°C − 20°C = 20°C),d is the thickness of the material (50 mm = 0.05 m).

Rearranging the formula to solve for k gives:

k = Q/t × d / (T2 − T1)

Plugging in the values:

k = 40 W/m² × 0.05 m / 20°C

k = 0.1 W/m·K

So, the thermal conductivity of the wood is 0.1 W/m·K.

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Use a ruler to measure the side length of the rectangle in centimeters mark 8 cm with a point and connect the points to show the square units then count the squares you're true to find the total area

Answers

Answer:

The total area of the rectangle is found by counting the total number of 1 cm squares inside the rectangle.

Note: This question is missing some details.

A more complete question is this: Use a ruler to measure the side lengths of the rectangle in centimeters. Mark each centimeter with a point and connect the points to show the square units. Then, count the squares you drew to find the total area.

Step-by-step explanation:

This method is used to determine area of a rectangle by counting the square unit inside the given rectangle.

For example, if the measurement of the sides of the rectangle is 8 cm and 5 cm respectively. To find the area;

Step 1: Mark out 1 cm points on each side of the rectangle.

Step 2: Connect each of the points.

Step 3: Count the number  1 cm squares within the triangle. The total number of squares gives the area of the triangle.

In this example, the number of 1 cm squares will be found to be 40. So the area of the rectangle is 40 cm squares or 40 cm².

(Geometry Question) A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run.

Please show all work on how you got your answer

Answers

Answer:

5.28°

Step-by-step explanation:

Draw the triangle formed by the sledding run.  The hypotenuse is 300.  The height is 27.6.  The angle of depression is opposite of the height.

Using sine:

sin θ = 27.6 / 300

sin θ = 0.092

θ = 5.28°

Anna is standing on the roof of a 35-foot building and is located at point A.

There is a 60-foot rope hanging from a point on the roof. When the rope is stretched out, it reaches to point C. She wants to know how far she is from point

B.


If Anna can show that triangles ABD ABD and ACD ACD are congruent, she can find the distance from A to B


Which additional segment lengths could be used to prove that △ADB≅△ADC by using the SAS Congruence Postulate?


THERE IS MORE THAN ONE ANSWER


CD=7 ft.

BD=6 ft.

CD=12 ft.

BD=5 ft.

CD=8 ft.

BD=8 ft.

Answers

9514 1404 393

Answer:

  CD = 8 ft.

  BD = 8 ft.

Step-by-step explanation:

To make use of the SAS postulate, Anna needs to identify two sides on either side of congruent angles.

The only marked angle is the right angle. We know that AD is congruent to itself, so Anna also needs to use the segments CD and BD, which are on the other side of the right angle in the right triangles.

The two choices in which BD and CD have the same length are

CD=8 ft.BD=8 ft.

the container that holds the water for the football team is
1/4 full. after pouring in 10 gallons of water, it is 2/3 full.how many gallons can the container hold?No multiple questions at this time​

Answers

Answer:

The container can hold 24 gallons of water.

Step-by-step explanation:

Let the Amount of water in gallons container can hold be 'x'.

Now given:

the container that holds the water for the football team is  1/4 full.

therefore Amount of water in container = [tex]\frac14x[/tex]

We need to find the Amount of water in gallons container can hold.

Solution:

Now given:

after pouring in 10 gallons of water, it is 2/3 full.

So equation can be framed as;

[tex]\frac14x+10=\frac23x[/tex]

Now Combining the like terms we get;

[tex]10=\frac23x-\frac14x[/tex]

Now We will use LCM to make the denominator common we get;

[tex]10=\frac{2x\times4}{3\times4}-\frac{1x\times3}{4\times3}\\\\10=\frac{8x}{12}-\frac{3x}{12}[/tex]

Now the denominators are common so we will solve the numerator we get;

[tex]10=\frac{8x-3x}{12}\\\\10=\frac{5x}{12}[/tex]

Now Multiplying both side by [tex]\frac{8}{12}[/tex] we get;

[tex]10\times\frac{12}{5}=\frac{5x}{12}\times \frac{12}{5}\\\\x=24 \ gallons[/tex]

Hence The container can hold 24 gallons of water.

The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as old as John. How old is John?

Answers

Answer:Jason is 5 years old.

John is 4 years old.

Jackson is 12 years old.

Step-by-step explanation:

Let x represent the age of Jason.

Let y represent the age of John.

Let z represent the age of Jackson.

The ages of three siblings Jason John and Jackson totals 21 years. It means that

x + y + z = 21 - - - - - - - - - - -1

Jason is one year older than John. It means that

x = y + 1

Jackson is three times as old as John. It means that

z = 3y

Substituting x = y + 1 and z = 3y into equation 1, it becomes

y + 1 + y + 3y = 21

5y = 21 - 1 = 20

y = 20/5 = 4

x = y + 1 = 4 + 1

x = 5

z = 3y = 3 × 4

z = 12

The infant measures 21.5 in (54.6 cm) at birth. If the infant is following a normal pattern of growth, what would be an expected height for the infant at the age of 6 months?

Answers

Answer:

27.5 in (69.85 cm)

Step-by-step explanation:

The normal growth rate for an infant after birth is 1 in per month.

After six month, the infant will be 27.5 in which is equivalent to 69.85 cm.

The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.

Answers

Final answer:

The estimated tuition at this college in 2020 is $51,137.

Explanation:

To find the equation to determine the tuition y for x years after 2000, we need to use the given information: the annual tuition in 2000 was $20,500 and it increased to $45,120 in 2018.

Let's calculate the rate of increase per year:

The change in tuition over the number of years is:

(Tuition in 2018 - Tuition in 2000) / (Year in 2018 - Year in 2000) = (45,120 - 20,500) / (2018 - 2000)

Now, we can use this rate of increase to find the tuition in any given year x:

Tuition in a specific year = Tuition in 2000 + (Rate of increase per year) * x

To estimate the tuition in 2020, we substitute x = 20 into the equation:

Tuition in 2020 = 20,500 + ((45,120 - 20,500) / (2018 - 2000)) * 20 = $51,137

R(x) = -13.85x2 + 1,660x
C(x) = 55,400 – 279x

Answers

Answer:

What am I suppose to do?

Step-by-step explanation:

Mike estimated the difference of 79.44 and 6.7 by rounding each number to the nearest whole. What was Mike's estimate, and what is the actual difference of the numbers? Enter your answers in the boxes. Mike estimated the difference to be . The actual difference is .

Answers

Answer:

Mike estimated the difference to be 72.

The actual difference is 72.74.

Step-by-step explanation:

Mike estimated 79 as 79.44 and 7 as 6.7, therefore Mike estimated the difference, this way:

79 - 7 = 72

Actual difference of the numbers is:

79.44 - 6.7 = 72.74

Mike estimated the difference to be 72.

The actual difference is 72.74.

_____ are systematic tendencies to use information about others in ways that result in inaccurate perceptions.

Answers

Answer:

biases

Step-by-step explanation

i toke the test

Bias is the systematic tendency to use information about others.

What are systematic tendencies?

The propensity to give facts that can be quickly recalled from memory as much weight as possible while making a decision.

You may reap the rewards of group judgments while avoiding frequent challenges to effective judgment in groups by managing group judgment processes well. Fundamental judgment ideas may be learned, but like with other abilities, practice is required. A professional judgment framework is a useful example of a sound decision-making procedure and enables you to identify potential areas for error. A shared framework enables the use of a common language and understanding. It normally pays off to put in some work up front, especially in the initial few stages of the judging process.

Therefore, A few properties of systematic bias are Heuristics are quite effective; typically speaking, benefits outweigh costs; yet, they may lead to biased judgment.

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Do these basic math problems please

Answers

Answer:

.

Step-by-step explanation:

a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)

b.) -72 ÷ 8 × 9 = -81 (it's same with a only differ by negative sign)

c.) 72 ÷ (-8) × 9 = -81 (dividing 72 by -8 will give us -9 and multiplying -9 by -9 will give the result of -81)

d.) 72 ÷ 8 × (-9) = -81 (divide 72 by 8 and it will be 9, mutliply it by -9 and again it will give -81)

e.) -72 ÷ 8 × (-9) = 81 (divide -72 by 8 and it will be -9 multiplying it by -9 will give a positive 81 since two negative signed numbers multiplied or divided gives positive result)

Answer:

A)81

B)-81

C)-81

D)-81

E)81

Step-by-step explanation:

Write the slope-intercept form (y=mx+b) of the equation of the line given the slope and y-intercept.​

Answers

The answer would be B

Andre has been practicing his math facts. He can now complete 135 multiplication facts in 90 seconds. If Andre is answering questions at a constant rate, how many facts can he answer per second?

Answers

Andre can complete 1.5 facts in one second.

Step-by-step explanation:

Given,

Number of multiplication facts completed in 90 seconds = 135

Therefore;

90 seconds = 135 facts

Dividing both sides by 90 to fins the facts per second

[tex]\frac{90}{90}\ seconds=\frac{135}{90}\ facts\\\\1\ second = 1.5\ facts[/tex]

Andre can complete 1.5 facts in one second.

Keywords: unit rate, division

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Final answer:

Andre can answer 1.5 multiplication facts per second by dividing the total number of facts he completed (135) by the time it took (90 seconds).

Explanation:

Andre has been answering multiplication facts at a consistent pace. To find out how many facts he can answer per second, we need to divide the total number of facts he answered by the total number of seconds it took him to answer them.

Andre answered 135 multiplication facts in 90 seconds.

To calculate the rate per second, the formula is:

Division of total facts by total seconds: 135 facts ÷ 90 seconds = 1.5 facts per second.

Therefore, Andre can answer 1.5 facts per second.

ASAP HELP
please help with these six questions, use the graph i attached.
1. What is the amplitude of this function?
2. What is the period to the graph in problem 1?
3. What is the frequency of the function from problem 1?
4. What is the equation of the midline for the function from problem 1? (no spaces when typing equation)
5. What is the maximum value of the function from problem 1?
6. What is the minimum value of the function from problem 1?

Answers

Answer:

i) amplitude is 4/2 =2

ii) period of the graph  = 3.14 ( radians), (or 180°)

iii) the frequency of the given function is f  = 2Hz ( hertz).

iv) The midline for the function is y = -3.

v) The maximum value of the problem of the function is -1.

vi) the minimum value of the function is -5.

Step-by-step explanation:

i) the Peak to Peak is = -1 - (-5) = 4

  therefore amplitude is 4/2 =2

ii) The period of the graph  = 3.14

iii) one cycle is over 2π radians

    one cycle of the given function is over π radians. Therefore the given    

     function will have 2 cycles over 2π radians. Therefore the frequency of the given function is f  = 2 hertz.

iv) The midline for the function is y = -3.

v) The maximum value of the problem of the function is -1

vi) the minimum value of the function is -5.

This little pool is 10 feet in diameter and 3 feet tall. Use the formula for volume to find the total water needed to fill the pool.

V=π r ^2 h

Answers

The answer is 235.619449

The total water needed to fill the pool is 75π cubic feet.

Given: The pool is 10 feet in diameter and 3 feet tall. To find: The total water needed to fill the pool using V = πr²h formula.

Calculations: Radius (r) = 5 feet, Height (h) = 3 feet. Substitute values into formula: V = π(5)^2(3) = 75π cubic feet.

Answer: The total water needed to fill the pool is 75π cubic feet.

To buy a new guitar, jerry paid a $700 down payment and will pay $50 each month until it is completely paid for. If the total cost of the guitar cost $1,200, how many months will it take to pay for the guitar!

Answers

Answer:

Step-by-step explanation:Original price is $1200.and he paid $700 to start with meaning he has $500 more to pay

$1200-$700=$500

If he now pays $50 every months then he has 10months to pay up

$500/$50=10./

PLEASE HELP!!! PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Find CD.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

CD =

Answers

Answer:

[tex]CD = 7.8[/tex]

Step-by-step explanation:

Given:

Δ DBC is a right angled triangle.

[tex]\angle B = 90\°\\\\\angle C = 59\°[/tex]

BC = 4

We need to find the value of CD

Solution:

Now we know that:

[tex]cos\ \theta = \frac{adjacent \ side}{hypotenuse}[/tex]

So we can say that;

[tex]Cos \angle C =\frac{BC}{CD}[/tex]

Substituting the given values we get;

[tex]Cos\ 59 = \frac{4}{CD}\\\\\\CD = \frac{4}{Cos\ 59} = 7.766[/tex]

Rounding to nearest tenth we get;

[tex]CD = 7.8[/tex]

Hence the Value of CD is 7.8.

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 5 units. What are the coordinates of your position? (x, y, z)

Answers

Answer:

(4,0,-5)

Step-by-step explanation:

Since we move 4 points along +ve x-axis so,  x coordinate is 4

We did not move any point along y-axis so  y coordinate is 0

we moved 5 points along -ve z-axis so z coordinate is -5

so our position is (x,y,z) = (4,0,-5)

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