Which of the following values are in the range of the function graphed below?
Check all that apply.
O B. -1
O C. 5
D. 2
E. 1

Answer:5 units!

Step-by-step explanation:

.

The value of x will be  5 units  for the sphere that has the volume of (500/3)π cubic units.

From the formula of the volume of sphere,

volume of sphere = 4/3 πr³

where, r is the radius

in our case,

volume = (500/3)π

radius = x

substituting the given values

(500/3)π = (4/3)π *x³

x³ = 125

x= 5 units

Therefore, the value of x will be 5 units.

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Complete question:

The volume of the sphere is 500/3 π cubic units.

What is the value of x?

4 units

5 units

8 units

10 units

Answer:

(8,2.40)

Step-by-step explanation:

Answer:

2.39

Step-by-step explanation:

Convert everything to a decimal.  

To do that with a fraction divide the numerator by the denominator.  

185 divided by 100 = 1.85

185/100 = 1.85

To convert a percent to a decimal divide the number by 100.

50 divided by 100 = 0.5

50/100 = 0.5

4 divided by 100 = 0.04

4/100 = 0.04

Now add:

1.85 + 0.5 + 0.04 = 2.39

Answer: [tex]1456\ ft^2[/tex]

Step-by-step explanation:

Given

Length of whole fence is 155 feet

If the length of rectangle is 45.5 ft

Suppose width is w

Length of whole fence is perimeter which is given by

[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]

Area of the rectangle is given by the product of length and width

[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]

Thus, total area of pasture is [tex]1456\ ft^2[/tex]

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes 4 2 3 5 5 3 1

Juice (milliliters) 177 234 202 140 155 210 265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice

Step-by-step explanation:

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes             4        2      3        5       5      3        1

Juice (milliliters)  177    234   202   140   155   210   265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

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Respuesta:

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 1,52 m²

Explicación paso a paso:

Dado que el área del rectángulo = Largo * Ancho

Convertir cm a m

Los 36cm = los 0.36m

Los 40cm = los 0.4m

Sustituir;

Área del rectángulo = 0.36 * 0.4

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 2 (L + W)

Perímetro del rectángulo = 2 (0.36 + 0.4)

Perímetro del rectángulo = 2 (0,76)

Perímetro del rectángulo = 1,52 m²

Answer:

The single equation is [tex]y = 0[/tex]

Step-by-step explanation:

We are given the following system of equations:

[tex]x + y = 0[/tex]

[tex]x + 2y = 0[/tex]

From the first equation:

[tex]x = -y[/tex]

Replacing in the second equation:

[tex]-y + 2y = 0[/tex]

[tex]y = 0[/tex]

The single equation is [tex]y = 0[/tex]

Given:

The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).

Above line is shaded.

To find:

The inequality for the given graph.

Solution:

Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)[/tex]

[tex]y+2=\dfrac{10+2}{8}(x-1)[/tex]

[tex]y+2=\dfrac{12}{8}(x-1)[/tex]

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

Multiply both sides by 2.

[tex]2(y+2)=3(x-1)[/tex]

[tex]2y+4=3x-3[/tex]

[tex]2y-3x=-3-4[/tex]

[tex]-3x+2y=-7[/tex]

Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

[tex]-3x+2y>-7[/tex]

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.

[tex](-3x+2y)(-1)<-7(-1)[/tex]

[tex]3x-2y<7[/tex]

Therefore, the correct option is D.

Answer: 77 / 1785

Step-by-step explanation:

Number of caramels = 10

Number of mints = 12

Number of dark chocolate = 14

Total number = 36

Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:

= 12/36 × 11/35 × 14/34

= 1/3 × 11/35 × 7/17

= 77/1785

Answer:

[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]

Answer:

-5

Step-by-step explanation:

6+11 = 17↓

17-22 = -5

or

11-22 = -11↓

-11+6 = -5

Answer:

equivalent

Step-by-step explanation:

Answer:

4/7 as a decimal is 0.57142857142857.

Answer:

Step-by-step explanation:

No Graph

Answer:

f= h/G

Step-by-step explanation:

The question is asking you to solve for f, or derive an equation of f in terms of h and G. The simplest way to solve for f is to isolate it from other variables.

h=fG

Now divide both sides by G

h/G=f

And there you go you solved for f.

Answer:

khgygygiugug

Step-by-step explanation:

Answer:

f=x−32

Step-by-step explanation:

Subtract 3232 from both sides.

Answer:

f=32.2m

Step-by-step explanation:

got it right on edge

Answer:

The Answer is         129

Step-by-step explanation:

We substitute x + 3 for X in F(x):

f(g(x)) = (x + 3)^3 +4

f(g(2)) = (2 + 3)^3 + 4

=125 + 4

=129

Answer:

the answer is B, comment if you need explanation

Step-by-step explanation:

Answer:

24 , 12x12 = 144. , 144/6 =24

Answer:

The average would be 22.25

Step-by-step explanation:

Average = [tex]\frac{sum}{count }[/tex]

6+5+74+4= 89

there are four numbers

[tex]\frac{89}{4}[/tex]=22.25

Given:

The graph of h(x) is the greed dashed line segment.

To find:

The endpoints of the function [tex]h^{-1}(x)[/tex].

Solution:

If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]

From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).

So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).

Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.

Answer:

d

Step-by-step explanation:

Answer:

strangely worded question....

[tex]361^{1/2} = \sqrt{361}[/tex]

Step-by-step explanation:

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

Explanation:

Notice how (19)^2 = 19*19 = 361

This shows that 19 is a square root of 361. We can say [tex]\sqrt{361} = \sqrt{19^2} = 19[/tex]

Similarly, (-19)^2 = (-19)*(-19) = 361. The two negatives cancel each other out. So that's why there are two solutions to [tex]x^2 = 361[/tex] which are x = 19 and x = -19.

So far that accounts for answer choices B and D.

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

The other two answers are [tex]-361^{1/2}[/tex] and [tex]361^{1/2}[/tex] (choices C and F) because anything to the 1/2 power represents a square root.

[tex]x^{1/2} = \sqrt{x}[/tex]

anything to the 1/3 power is a cube root

[tex]x^{1/3} = \sqrt[3]{x}[/tex]

anything to the 1/4 power is a fourth root

[tex]x^{1/4} = \sqrt[4]{x}[/tex]

and so on.

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

Side note: For choice C, the exponent is done first before we apply the negative. So technically we could say [tex]-1*(361)^{1/2}[/tex] for choice C to mean the same exact thing. If your teacher said [tex](-361)^{1/2}[/tex] then this would not be an answer because this results in a non-real number.

Answer:

C.  3/9

Step-by-step explanation:

First, you need to understand what the tree diagram means.

You spin a three-color spinner once. You can get one of three results:

green, blue, or yellow. This is shown in the figure under "1st spin."

Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."

That means there are 9 possible outcomes (numbered from 1 to 9 below):

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.

Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

3 out of 9 outcomes are the same color twice.

Answer: C.  3/9

Answer:

We know that the box has:

0.6lb of caramels

3.6lb of coconut.

Then the total mass of candy in the box is:

0.6lb + 3.6lb = 4.2lb

This is the 100% of the box.

Now, we can write this as:

4.2lb = 100%

For example, if we want to know which percentage is caramels, we write the equation:

0.6lb = X

We want to find the value of X

Then we have two equations:

0.6lb = X

4.2lb = 100%

Let's take the quotient of these two equations:

(0.6lb/4.2lb) = X/100%

Now we can solve this for X:

(0.6lb/4.2lb)*100% = X = 14.3%

the caramels represent the 14.3% of the wheight of the box.

And for the coconut candy, we have the relation:

3.6lb = Y

Now let's do the same again, we start with the two equations:

3.6lb = Y

4.2lb = 100%

Take the quotient:

(3.6lb/4.2lb) = Y/100%

Solve for Y:

(3.6lb/4.2lb)*100% = Y = 85.7%

Now we found the percentage that represent each type of candy in the box.

Answer:

[tex]f(0) = 6[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine [tex]f(0)[/tex]

From the table;

[tex]f(x) = 6[/tex] when [tex]x =0[/tex]

So:

[tex]f(0) = 6[/tex]

Answer:

I think its 43%

Explanation

math

The probability of Pier choosing a boy is 0.43 or 43%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The total number of students in the class is:

13 boys + 17 girls

= 30 students

The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:

Probability of choosing a boy.

= number of boys / total number of students

Probability of choosing a boy.

= 13 / 30

Probability of choosing a boy.

= 0.4333 or approximately 0.43

Therefore,

The probability of Pier choosing a boy is 0.43 or 43%.

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