Rocky has 7 bottles of water. He will buy bottles of water from the store. The store has 8 cases in stock and each case contains 24 bottles of water. The store will not sell partial cases. The function that models the number of bottles of water Rocky will have after his purchase is F(c) = 24c +7, where c is the number of cases of water he buys.
What is the theoretical domain of the function?




A)
All Real Numbers
B)
All Real Numbers From 1 To 8, Inclusive
C)
{31, 55, 79, 103, 127, 151, 175, 199}
D)
All Integers From 1 To 8, Inclusive

Answer:

A) 25

Step-by-step explanation:

Set the ratios. Place the similar sides equal to each other.

Sides:

AB/CB = XY/ZY

Plug in corresponding numbers to the corresponding sides:

50/40 = x/20

Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:

(50/40)/(2/2) = 25/20

25/20 = x/20

x = 25

A) 25 is your answer.

~

Answer: A 25

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

there is enough information

Answer:

55°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (35 + 90) = angle B

180 - (125) = angle B

55 = angle B

So, angle B has a measurement of 55°

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet.  That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

Answer:

p = ± q / 5r + 8; Option D

Step-by-step explanation:

We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;

q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,

p^2 - 16p + 64,

( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,

( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,

q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,

q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,

q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,

| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,

| p - 8 | = q / 5r,

| p | = q / 5r + 8,

Answer; p = ± q / 5r + 8; Option D

Answer:

not quadratic because there is not a quadrat in it.

Step-by-step explanation:

The graph of a quadratic funtion is a parabola.

The general form of quadratic function is this:

f(x) = ax² + bx + c

Where a, b, and c are numbers.

Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.

In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.

Answer:

3/8

Step-by-step explanation:

Find the height of the trapezoids

20 - 10 = 10

10/2 = 5

Find the area of the trapezoids

5*(20+10)/2 = 75

The formula for the area of the trapezoid is the height * the bases added together divided by 2

75*2(this is because there are 2 trapezoids) = 150

Put this to proportion of the total area of the dart board

150/[tex]20^{2}[/tex] = 150/400 = 3/8

3/8 is the probability that you score 3 points

Answer:

False

Step-by-step explanation:

3/4 = 9/16

Multiply the left side by 4/4 to get a common denominator

3/4*4/4 = 12/16

This is not equal to 9/16 so this is not a proportional relationship

Answer:

False

Step-by-step explanation:

3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.

Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.

Answer:

C

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

#platolivesmatter

Answer:

Slant height of the pyramid = 11.66 m

Step-by-step explanation:

A squad pyramid has a volume of

V = ⅓ × (area of base) × (vertical height)

Area of the pyramid's square base = 144 m²

Volume = 384 m³

384 = ⅓ × 144 × (vertical height)

Vertical height = (3×384)/(144) = 8 m

But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.

The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.

The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.

Area of the square base of the pyramid = 144 m²

Area of a square = (side length)²

Side length = √(Area of the square) = √144 = 12 m

Using Pythagoras theorem,

(Length of the diagonal)² = 12² + 12² = 288

Length of the diagonal = (12√2) m

Half of the length of the diagonal of the square base = 6√2 m

Using Pythagoras theorem further

(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²

(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136

Slant height of the pyramid = √136 = 11.66 m

Hope this Helps!!!

Answer:

C) Equal to the figure in position 3.  

Step-by-step explanation:

Assume the sequence of figures is like the one below.

The pentagons differ in the number of stars in the sequence:

1, 2, 3, 4, 5, 1, 2, 3, 4, 5…

The sequence repeats after the fifth term.

To find the 53rd term, find the remainder for 53 ÷ 5.

53 ÷ 5 = 10, with a remainder of 3.

This tells you there are ten complete sequences (50 numbers), and three more numbers.

The 53rd term is 3, so

The figure that will occupy position 53 in the sequence is equal to the figure in position 3.

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Answer: x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3(x+4)=6(-x-1)

1. Distribute

-3x+(-12)=-6x-6

-3x-12=-6x-6

3x-12=-6

3x=6

x=2

Answer:

$5,671.84

Step-by-step explanation:

To find the third side, we can use the law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(theta)

c^2 = 157^2 + 157^2 - 2*157*157*cos(65)

c^2 = 28463.7649

c = 168.71 feet

The perimeter of the playground is:

P = 157 + 157 + 168.71 = 482.71 feet

If each foot costs $11.75, the final cost is:

Cost = 482.71 * 11.75 = $5,671.84

Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.

Step-by-step explanation:

-The equation of a slope-intercept form:

[tex]y = mx + b[/tex]  (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).

Answer:

[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]

Step-by-step explanation:

The distance between foci with respect to origin is determined by mean of the Pythagorean Theorem:

[tex]2\cdot c = \sqrt{(0-0)^{2}+[24-(-24)]^{2}}[/tex]

[tex]2\cdot c = 48[/tex]

[tex]c = 24[/tex]

The distance between origin and any of the horizontal co-vertices is:

[tex]a = \sqrt{[10-(-10)]^{2}+(0-0)^{2}}[/tex]

[tex]a = 20[/tex]

Now, the distance between origin and any of the vertical co-vertices is determined by the following Pythagorean relationship:

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

[tex]b^{2} = a^{2} + c^{2}[/tex]

[tex]b = \sqrt{a^{2}+c^{2}}[/tex]

[tex]b = \sqrt{20^{2}+ 24^{2}}[/tex]

[tex]b = 4\sqrt{61}[/tex]

Lastly, the equation of the ellipse in standard form is:

[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]

Answer:

x^2/100+y^2/676=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:

Answer:

10082.36cm²

Step-by-step explanation:

The formula for volume of a cone: V = [(3.14) r²](h/3)

Steps:

1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm

2. Find the value of the height: 31cm

3. Plugin: [(3.14) 13²] (31/3)

Solve for the volume of the cone:

a) 13² = 169

b) 169(pi) = 530.66

c) 530.66 (31/3) = 530.66 (10.3333)

Volume of cone: 5483.31

The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]

Steps:

1. Find the value of the radius: 13cm

2. Solve for the volume of the hemisphere

1. 13x13x13 = 2197

2. 2197 (3.14) = 6898.58

3. (4/3) 6896.58 = 9198.1067

4. (1/2) 9198.1067 = 4599.05

Add the two volumes together:

4599.05+5483.31 = 10082.36cm²

This took forever since I used the google calculator, but it got done after forever! Hope this helps!

The Volume of the figure is 10,082.53 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity.

We have a cone surmounted by Hemisphere.

So, Volume of Figure

= Volume of Cone + Volume of Hemisphere

= 1/3 πr²h + 2/3 πr³

= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13

= 5,483.48 + 4,599.05

= 10,082.53 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ3

Answer:

I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.

Hope this helped!

Can I get brainliest?

Answer:

[tex]x\leq 15.5[/tex]

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

4.25x5=21.25

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Answer: 1/10 or 10%

Step-by-step explanation:

The required probability that the card is an E will be 0.1%.

A Probability can be defined as the ratio of favorable outcomes to the total number of events.

P(E) = Number of favorable outcomes / total number of outcomes

A set of cards has sample =  U E A R Q H C H L A

Total number of sample s(n) = 10

We need to find the probability that the card is an E

For probability for  E,

  p(E)= 1 / 10 = 0. 1%

Thus, the required probability that the card is an E will be 0.1%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3