Circle P has a circumference of approximately 75
inches.
a
What is the approximate length of the radius, ? Use
3.14 for T. Round to the nearest inch.
O 12 inches
O24 inches
O38 inches
O46 inches

The correct value of this equation is m = 24

This equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

m = 24

Therefore, the correct value of this equation will be m = 24

Answer:

[tex]y=\dfrac{1}{2}(x+5)^2-3[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Parent function

[tex]y=-x^2[/tex]

Reflected in the x-axis

[tex]-f(x) \implies y=-(-x^2)\implies y=x^2[/tex]

Compressed vertically by a factor of 1/2

Multiply the whole function by the given scale factor:

[tex]\dfrac{1}{2}f(x)\implies y=\dfrac{1}{2}x^2[/tex]

Translated 3 units down

Subtract 3 from the whole function:

[tex]f(x)-3 \implies y=\dfrac{1}{2}x^2-3[/tex]

Translated 5 units left

Add 5 to the variable of the function:

[tex]f(x+5) \implies y=\dfrac{1}{2}(x+5)^2-3[/tex]

To sketch the parabola

Vertex = [tex](-5, -3)[/tex]

Axis of symmetry:  [tex]x = -5[/tex]

Plot points:

[tex]x=-9 \implies \dfrac{1}{2}(-9+5)^2-3=5 \implies (-9,5)[/tex]

[tex]x=-7 \implies \dfrac{1}{2}(-7+5)^2-3=-1 \implies (-7,-1)[/tex]

[tex]x=-3 \implies \dfrac{1}{2}(-3+5)^2-3=-1 \implies (-3,-1)[/tex]

[tex]x=-1 \implies \dfrac{1}{2}(-1+5)^2-3=5 \implies (-1,5)[/tex]

Answer: A right angle

Step-by-step explanation:

Perpendicular lines form right angles

Answer:

90 degree

Step-by-step explanation:

Answer:

the value is 14

Step-by-step explanation:

because im just trying to get points

Answer:

[tex] \large {\boxed{ \sf{y = 2x + 5}}}[/tex]

Step-by-step explanation:

Suppose the slope of the line is k.

So,

[tex] \large {\bold {k = \frac{7 - ( - 1)}{1 - (3)} = \frac{7 + 1}{1 + 3} = \frac{8}{4} = 2 }}\\ [/tex]

So the line:

[tex] \large \bold{ \frac{y - 7}{x - 1} = k = 2 } \\ [/tex]

[tex] \: [/tex]

So,

[tex] \large \bold{y - 7 = 2(x - 1)}[/tex]

[tex]\large \bold{y - 7 = 2x - 2}[/tex]

[tex]\large \bold{y = 2x - 2 + 7}[/tex]

[tex]\large \bold{y = 2x + 5}[/tex]

[tex]{\rule{200pt}{4pt}}[/tex]

[tex] \large \bold{-N} \frak{unx-}[/tex]

======================================================

Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

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

Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.

The exponential function of the table is y = 0.75(2)^x

From the table, we have the following points

(x,y) = (0,0.75) and (1,1.5)

An exponential function is represented as:

y = ab^x

At (0,0.75), we have:

0.75 = ab^0

a = 0.75

Substitute a = 0.75 in y = ab^x

y = 0.75b^x

At (1,1.5), we have:

1.5 = 0.75b^1

Evaluate

1.5 = 0.75b

Divide both sides by 0.75

b =2

Substitute b =2 in y = 0.75b^x

y = 0.75(2)^x

Hence, the exponential function is y = 0.75(2)^x

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Answer: 16 centimeters

Step-by-step explanation:

    We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 256

b = [tex]\sqrt{256}[/tex]

b = 16

          The length of the other leg is 16 centimeters.

Answer:

The other leg is 16 cm long.

Explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex],

where:

[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).

Let [tex]a=12[/tex] [tex]cm[/tex]

Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.

[tex]b^2=c^2-a^2[/tex]

[tex]b2=(20 cm)^2-(12 cm)^2[/tex]

Simplify.

[tex]b^2=400 cm^2-144cm^2[/tex]

[tex]b^2=256 cm^2[/tex]

Take the square root of both sides.

[tex]b=\sqrt{256cm^2}[/tex]

Simplify.

[tex]b=16[/tex] [tex]cm[/tex]

Answer:

B.) 4,096 feet

Step-by-step explanation:

You were given a time, and time in the equation is represented by "t". To find the height, represented by "h", you just need to plug the given value in for "t" and simplify to find "h".

t = (1/4)√x                                         <--- Original equation

16 = (1/4)√x                                      <--- Plug 16 in "t"

64 = √x                                            <--- Divide both sides by (1/4)

4,096 ft = x                                    <--- Square both sides

The object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.

The equation is t=1/4 √x , where t is time in seconds and x is height in feet. To determine the height  x at which an object should be dropped to reach the ground in 16 seconds, you can plug in the value of t=16 into the equation:

16 = 1/4 √x

Simplify the equation by multiplying both sides by 4:

4⋅16= √x

64= √x

Now, square both sides to isolate x:

64²=x

4096 = x

Therefore, to have the object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.

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Answer:x = 0.449

Step-by-step explanation:

You will find it in the screenshots! up there☝️

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

The equation is given as:

y =1.5x + 5

For a 17-pound goat, we have:

x = 17

This gives

y =1.5 * 17 + 5

y = 30.5

For a 55-pound goat, we have:

x = 55

This gives

y = 1.5 * 55 + 5

y = 87.5

Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

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Answer:

There are infinitely many solutions to the system because the equations represent the same line

Answer:

25 degrees

Step-by-step explanation:

arc divided by 2 = angle

50/2=25

Step-by-step explanation:

please mark me as brainlest

Answer: x = 4/3

Step-by-step explanation: I just answered the answer

Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:

C. 1/6

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:

p = 2/12 = 1/6.

Which means that option C is correct.

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Answer:

Hi,

Step-by-step explanation:

[tex]\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\[/tex]

The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)

Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

Answer:

7. 630

8. I'm not sure on this one-

9. 1331

Step-by-step explanation:

So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630

For the triangular prism, I forgot the formula

For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331

Answer: Heyaa! ^^

When you simplify (17^14)^20 Your Answer is

Step-by-step explanation:

Hopefully this helps you!

P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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The net represents a cube.

The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]

Answer:

Step-by-step explanation:

The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.

__

The 3-dimensional shape represented by the net is a cube.

The area of the cube is ...

  6 × (12 cm)² = 6 × (144 cm²) = 864 cm²

Answer: Hope this explains everything for you!

y= -2x+3

Step-by-step explanation:

y= 2x-1 is wrong

First, we will start by identifying the y-int, the y-int is when x is zero. The y-int is 3 since when x is 0, y is 3, (0,3).

y= 2x+3 (So that means -1 is actually 3)

Plus even if your slope is 2, since from the 2 points you go up 2 and run by 1, if you're not going to calculate it with 2 points, you need to see if its uphill, downhill, etc. (More info in the image below) The slope is actually negative meaning it is -2.

So the equation of the line is actually y= -2x+3

Answer:

x=7 ................................

Answer:

w = 10

Step-by-step explanation:

First we take the two values for the breadth of the rectangle

So:

5x - 9 = 3x + 7

now we solve this equation as follows:

5x - 3x = 9 + 7

2x = 16

x = 8

now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.

when we substitute x in any of these equations, we get

5(8) - 9 = 31

3(8) + 7 = 31

now that we have the value for the breadth we can form the following equation:

31 × w = 310

31w = 310

w = 310/31 = 10

Answer:

10

Step-by-step explanation:

Firstly, we find the value of X

since 5X-9 and 3X+7 are lenghts

5X-9= 3X+7

5X-3X= 7+9

2X = 16

dividing bothsides by 2

2X/2= 16/2

X = 8

Hence,

5X-9= 5(8)-9= 40-9 = 31

3X+7=3(8)+7= 24+7= 31

To find the width

Area= lenght×width

310= 31×w

31w= 310

w= 310/31

W= 10

Answer:

C

Step-by-step explanation:

M is less than n because it comes before it in the number line

Answer:

Angle AED: 40
Angle BEC: 105

Explanation:
1) To find Angle AED, you have to do arc BC minus arc AD then divide by 2.
120 - 40 = 80.
80 / 2 = 40

2) To find Angle BEC, you have to do arc BA + CD then divide by 2. But that's only angle CED. You'll have to double the number because BEA is vertical; then minus 360.

62 + 88 = 150
150 / 2 = 75
75 times 2 = 150
360 - 150 = 210
210 / 2 = 105
- You'll divide 210 by 2 because of the vertical angles of AED and BEC.

Answer:

30

Step-by-step explanation:

[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]