In the formula d=/(x2-x1)^2+(y2-y1)^2 , how does each subtraction expression relate to the Pythagorean theorem?

Answer:

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have r = 4 u and H = 6 u. Substitute:

[tex]V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3[/tex]

[tex]\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3[/tex]

If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.

Therefore, the volume of acylinder:

[tex]V\approx3(100.48)=301.44\ u^3[/tex]

Why?

The formula of a volume of a cone:

[tex]V_{cone}=\dfrac{1}{3}\pi r^2H[/tex]

The formula of a volume of a cylinder:

[tex]V_{cylinder}=\pi r^2H[/tex]

Therefore

[tex]V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}[/tex]

If the radius and height are the same.

Answer:

A cone has a radius of 4 units and a height of 6 units.

Its volume is

[100.48]

cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is

[301.44]

cubic units.

Step-by-step explanation:

8.5 is the answer to your question

The square root of 73 is approximately 8.544. It lies between the perfect squares of 64 and 81. The square root cannot be represented exactly as an integer or a simple fraction.

To find the square root of 73, we recognize that it is not a perfect square. Thus, the square root cannot be represented exactly as an integer or a simple fraction. We use approximation methods or a calculator to find it.

Steps to Find the Approximate Square Root of 73:

So, the square root of 73 is about 8.544.

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

Before multiplying in the expression 14×25/27, try to simplify. Simplify 25/27 first, which gives an approximate decimal 0.9259. Multiply the approximation by 14, which gives the approximately 12.9626.

Yes, you can simplify before multiplying in the given expression, 14×25/27. This follows the mathematic principle of simplifying terms prior to engaging in the operation. Here's how you can do it:

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This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

Answer:

n = 2

Step-by-step explanation:

Given

- 6n + 21 = 12n - 15 ( collect terms in n on the left and numbers on the right )

Subtract 12n from both sides

- 18n + 21 = - 15 ( subtract 21 from both sides )

- 18n = - 36 ( divide both sides by - 18 )

n = 2

Answer:

D. Reciprocal parent function

Step-by-step explanation:

The given function has the x-axis as the horizontal asymptote

The vertical asymptote is the line x=0, which is the y-axis.

This means that the function has x, in the denominator.

Therefore, the function represented by the graph is [tex]\frac{1}{x}[/tex].

This is the parent reciprocal function.

The correct choice is D

Answer:

f+5, g-10, 10-g, and 1/2p

Hope This Helps!   Have A Nice Day!!

Answer:

A: F + 5

B: g - 10

C: 10 - g

D: P divided by 2

Answer: 10 pounds of force

Answer:

10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.

Step-by-step explanation:

From the given graph it is clear the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20) and (4,15).

These points satisfy by the equation

[tex]y=\frac{60}{x}[/tex]

where, x is the distance in feet from the fulcrum and y is needed force in pounds.

Put x=6 in this equation,

[tex]y=\frac{60}{6}=10[/tex]

Therefore, 10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.

1 because 13 is not divisible buy anything other than 1

The  LCM of 5, 13 and 10 is 130.

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

The LCM is the smallest number that is a multiple of 5, 13, and 10. To find the LCM, we can use the following steps:

1. Find the prime factorization of each number.

2. Find the highest power of each prime factor.

3. Multiply the prime factors together, using the highest power of each factor.

The prime factorization of 5 is 5.

The prime factorization of 13 is 13.

The prime factorization of 10 is 2 * 5.

The highest power of 2 is 1.

The highest power of 5 is 1.

The highest power of 13 is 1.

Therefore, the LCM of 5, 13, and 10 is:

2 * 5 * 13 = 130

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The answer would be d- tossing s coin, tossing a second coin, and tossing a third coin

Option: D is the correct answer

D. Tossing a coin, tossing a second coin and tossing a third coin.

We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.

Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.

and the total sample space of the two events is given by:

HH    HT   TT     TH

Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.

Hence, the total number of outcomes are:

HHH    HTH    TTH   THH

HHT     HTT     TTT    THT

i.e. when a coin is tossed n times that the total possible outcomes are:

                           [tex]2^n[/tex]

Here the coin is tossed three times.

Hence, the total possible outcomes are:  [tex]2^3=8[/tex]

Answer:

£166 : £581

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

2 : 7

( × 83 both sides )

166 : 581

ANSWER

See attachment

EXPLANATION

The given equations are:

y = −2x + 13

y = 2x − 3

We equate the two equations to get

−2x + 13=2x − 3

Group similar terms:

-2x-2x=-3-13

-4x=-16

Divide both sides by -4,

x=4

Put x=4 into equation (2)

y=2(4)-3

y=5

The two graphs should intersect at:

(4,5)

Answer: The answer is (4, 5)

Step-by-step explanation:

I would think A. i just tried to figure it out on my own but forgive me if I'm wrong but I'm positive I'm right

Answer:

28

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6, hence

sum = 180° × 4 = 720°

Each exterior angle plus it's interior angle = 180°

Subtract each exterior angle from 180 to obtain interior angle

180 - 80 = 100, 180 - 56 = 124, 180 - 61 = 119, 180 - 43 = 137, 180 - 92 = 88

The 6 th interior angle is the sum of the 5 interior angles subtracted from 720

6 th angle = 720° - (100 + 124 + 119 + 137 + 88)° = 720° - 568° = 152°

The 6 th angle and 2x sum to 180 ( same reason as given above )

2x + 152 = 180 ( subtract 152 from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

also the direction is anti clockwise

I hope it could help you :)

To draw a 30° angle in standard position on the coordinate plane, start by drawing the initial side of the angle which is the positive x-axis. Use a protractor to measure a 30° angle counterclockwise from the initial side. Then draw a line from the origin to the endpoint of the angle to represent the terminal side. Label the angle measure as 30° and label the terminal side accordingly. Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

To draw a 30° angle in standard position on the coordinate plane, follow these steps:

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Answer:

I am assuming you mean a normal cosine parent graph. The maximum a y=cos(x) graph can approach is one.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

$20.00

Answer:

4b+7

Step-by-step explanation:

7 beads= +7

4 packs= 4b

expression= 4b+7

The solution to the question "write an expression to show the total of beads that lina uses" is:

The number of beads Lina has = 7

The number of beads in the four packets = 4n

The total number of beads that Lina now has = 4n  +  7

The number of beads Lina originally has = 7

The number of additional packets bought = 4

Let the number of beads in each packet be n

Total number of beads in the 4 packets = 4  x  (number of beads in each packet)

Total number of beads in the 4 packets = 4n

The total number of beads that Lina now has = (The number of beads in the 4 packets)  +  (The number of beads she originally has)

The total number of beads that Lina now has = 4n  +  7

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Answer:

x = 1 + t and y = 2.5 + 0.75t

Step-by-step explanation:

Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:

(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.

Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:

(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!

Answer:

x=t, y=(3/4)t+(7/4)

Step-by-step explanation:

We start by changing the equation the slope-intercept form.

4y=3x+7

y=(3/4)x+(7/4)

then we set x equal to t

x=t

and substitute

y=(3/4)t+(7/4)

that's it.

Answer:

The value of a7 is 128

Step-by-step explanation:

* Lets revise the rule of the geometric series

-There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

# a1 = a  ,  a2  = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

# an = ar^n-1, where a is the first term , r is the constant ratio

   between each two consecutive terms , and n is the position

   of the term in the series

* Now lets solve the problem

∵ a = 2

∵ r = -2

* To find a7 put n = 7

∵ an = a (r)^n - 1

∴ a7 = 2 (-2)^(7 - 1) = 2 (-2)^6

∵ (-2)^6 = 64 ⇒ even power canceled the negative sign

∴ a7 = 2 (64) = 128

∴ The series is : 2 , -4 , 8 , -16 , 32 , -64 , 128 , ............

* The value of a7 is 128

Answer:

-2/3

Step-by-step explanation:

To find the slope of two points

m = (y2-y1)/ (x2-x1)

    = (-4-2)/(1--8)

   = (-4-2)/(1+8)

   = -6/9

   -2/3

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-8, 2) and (1, -4). Substitute:

[tex]m=\dfrac{-4-2}{1-(-8)}=\dfrac{-6}{9}=-\dfrac{6}{9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}[/tex]

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].

Answer: the domain is all real numbers. the range is {y|y ≤ 16}

Step-by-step explanation:

Don’t have trust issues

Answer:

About 4.39.

Step-by-step explanation:

The distance formula is the square root of ( x2 − x1 ) squared + ( y2 − y1 ) squared. Plugging in our x and y values, you get 4.386342439892262, which rounds up to 4.39.

The answer is 4.39 and that’s the answer

Answer:

201.06 square feet

Step-by-step explanation:

area of a circle is given by πr², where π = 3.1416

A = 3.1416 * 8²

A = 3.1416 * 64 = 201.0624 square feet

A = 201.06 square feet

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=\stackrel{\times 6}{6r} \end{cases}\implies V=\pi (6r)^2 h\implies V=\pi (6^2r^2) h \\\\\\ V=36~~\pi r^2 h\impliedby \textit{36 times the original volume}[/tex]

The effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36

From the question, we are to determine what effect multiplying radius by 6 would have on the cylinder

Using the formula for calculating the volume of a cylinder

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

If the r is the radius and h is the height of the first cylinder,

Then, volume of the first cylinder will be

V = πr²h

For the new cylinder

radius = 6r

and h = h

Then, volume of the new cylinder will be

V₂ = π × (6r)² × h

V₂ = π × 36r² × h

V₂ = 36πr²h

The new volume is multiplied by a factor of 36

Hence, the effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36.

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Answer:

Mean: 116

Median: 115

Mode: 115

Step-by-step explanation:

Mean is the average of the data set; it’s found by adding up all the numbers and dividing that sum by the number of numbers there are

(114 + 120 + 115 + 114 + 118 + 117 + 114)/7 = 812/7 = 116

Median is found out by ordering the given numbers from largest to smallest and finding the middle number; if there are an even number of given numbers, you add them up and divide by two.

In this case, you are lucky enough to be given an odd numbers of given numbers

Ordering (smallest to largest):

114, 114, 114, 115, 117, 118, 120

Median is 115

(this is the number in the middle of the data set)

Mode is the most frequently occurring number in the data set

In this case, the

Mode is 114

The mean of the data is 116, the median is 115, and the mode is 114. All three measures offer insights into the dataset's central tendencies.

To find the mean, median, and mode of the given data: 114, 120, 115, 114, 118, 117, 114, let's follow these steps:

Mean: Add all the numbers together and divide by the number of data points.

Median: Arrange the numbers in ascending order and find the middle value. If there is an even number of observations, calculate the average of the two middle values.

Mode: The most frequently occurring value in the dataset.

Thus, the mean is 116, the median is 115, and the mode is 114.

The remainder would be 1/4 of the pizza. 1/4 is equivalent to 2/8 of the pizza. This 2/8 can be easily divided for both sons. Therefore the answer would be each son would receive 1/8 of the pizza.

Answer:

1.  mean

2. population

3. statistics

4. survey

5. mode

6. standard deviation

7. random

8. interquartile range

9. median

10. census

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1.RT

2.QS

3.PS

4.T

5.QR

6.QSR

7.QRS

If correct mark best answer!