Find the area of A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

Answers

Answer 1

To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is [tex]V= \pi r^{2} h[/tex]
where:
[tex]V[/tex] is the volume
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
From the question we know that [tex]A=175[/tex] and [tex]h=7[/tex]. Lets replace those values in our volume formula:
[tex]175= \pi r^{2} 7[/tex]
Now we can solve for [tex]r[/tex] to find our radius:
[tex]r^{2} = \frac{175}{7 \pi } [/tex]
[tex]r^{2} = \frac{25}{ \pi } [/tex]
[tex]r= \sqrt{ \frac{25}{ \pi } } [/tex]
[tex]r= \frac{5}{ \sqrt{ \pi } } [/tex]

Now that we know the radius, we can use the formula for the area of a cylinder [tex]A=2 \pi rh+2 \pi r^{2} [/tex]
where:
[tex]A[/tex] is the area
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
We know now that [tex]r= \frac{5}{ \sqrt{ \pi } } [/tex] and [tex]h=7[/tex], so lets replace those values in our area formula:
[tex]A=2 \pi ( \frac{5}{ \sqrt{ \pi } } )(7)+2 \pi ( \frac{5}{ \sqrt{ \pi } })^{2} [/tex]
[tex]A= \frac{70 \pi }{ \sqrt{ \pi } } +50[/tex]
[tex]A=174.07[/tex]

We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is 174.07 square units.

Related Questions

The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.

Answers

Let
E----------------> angle of elevation
D----------------> angle of depression
we know that
E=(3x+1)
D=2(x+8)
remember that
angle of elevation is equals to angle of depression------> by alternate angles
then
E=D
(3x+1)=2(x+8)-----------> 3x+1=2x+16----------> 3x-2x=16-1-----> x=15
E=3*15+1-------> 46°
D=2*15+16-----> 46°

the answer is
the measure of angle of elevation and angle of depression is 46°

A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pink or orange

Answers

Sample space = 17 + 7 + 4 = 28
P(pink) = 7/28
P(orange) = 17/28
P(pink or orange) = P(pink) + P(orange)
P(pink or orange) = 7/28 + 17/28
P(pink or orange) = 24/28
P(pink or orange) = 6/7 or 0.857143 or 85.7%

The data set represents a bimonthly progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 2 4 6 8 y 2.86 2.89 2.93 3.04 3.11 a. c. b. d.

Answers

The answer to this question id D

Answer:

y = 0.0027*x^2 + 0.0111*x + 2.8574

Step-by-step explanation:

Using Excel the procedure is:

First, insert x and y values in a table format, as can be seen in the figure

Then, select data

Next, go to insert tab and inside charts options select scatter plot without any lines

Finally, select a point in the plot, right-click, add trend line, polynomial order 2 and check display equation option

helppppppppppppppppppppppp

Answers

Answer:
10.3 units

Explanation:
Triangle ABC is a right-angled triangle. This means that we can apply special trig functions.
We are given that:
angle B = 25 degrees and AB = 4 units
Therefore:
cos(B) = adjacent / hypotenuse
cos(25) = 4 / BC
BC = 4.414 units
tan(B) = opposite / adjacent
tan(25) = AC / 4
AC = 1.865

Finally, we can get the perimeter as follows:
perimeter = AB + BC + AC
perimeter = 4 + 4.414 + 1.865
perimeter = 10.279 which is approximately 10.3 units

Hope this helps :)

Known Values Angle A = 90°
Side c = 4
Angle B = 25°
Step #1: Find angle C by subtracting the other 2 angles from 180°.
C = 180° - A° - B°
C = 180° - 90° - 25°
C = 65°
Step #2: Use the Law of Sines to find side a.
a / sin(A) = c / sin(C)
a / sin(90°) = 4 / sin(65°)
a = (sin(90°) x 4) / sin(65°)
a = 4.414
Step #3: Use the Law of Sines to find side b.
b / sin(B) = c / sin(C)
b / sin(25°) = 4 / sin(65°)
b = (sin(25°) x 4) / sin(65°)
b = 1.865
So you have the sides
c = 4
b = 1.865
a = 4.414

The perimeter is all the sides added up
P = 4 + 1.865 + 4.414
P = 10.279
That can be rounded to 10.3 units

Hope this helps!

can someone help me with this?

Answers

Add up the values in row 1 and row 2, which correspond to the groups "under age 12" and "13 to 30 years old" respectively

6+7 = 13 individuals under age 12
7+4 = 11 individuals 13 to 30 years old
13+11 = 24 people total from the two groups

There are 6+7+7+4+4+1 = 29 people total from the entire survey

So the final answer is 24/29. It cannot be reduced further.

please help attachment on please don't skip any parts

will get brainliest

Answers

I’m sorry but there isn’t an attachment.

.help please and thank you

Answers

it is the SAS Postulate

Use Side Angle Side (SAS)

find the arithmetic mean an of an-1 = 3.9 and an+1 = 7.1

a. 11
b. 5.5
c. 3.7
d. 1.6

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

We are asked to find arithmetic mean of two terms given.

For finding arithmetic mean, we add up the values and divide the sum by the number of values.

Here we have given two numbers , below

[tex]a_{n-1}=3.9[/tex]

[tex]a_{n+1}=7.1[/tex]

So, mean of these two numbers will be = [tex]\frac{3.9+7.1}{2}[/tex]

So, mean of these two numbers will be = [tex]\frac{11}{2}=5.5[/tex]

So, arithmetic mean for given two numbers are 5.5 : Answer (b)

Hope it will help :)

Answer:

b. 5.5

Step-by-step explanation:

FOR LEARNING ONLY.. not necessary to read, but I hope it helps!

you start with:

[tex]a_{n-1}=3.9\\a_{n-1}=7.1[/tex]

arithmetic questions like this are like finding an average.

so you add the values while dividing by the total of values there are.

in this case:

[tex]\frac{7.1+3.9}{2}[/tex]

which is simplified to:

[tex]\frac{11}{2}[/tex]

then decimal:

[tex]5.5[/tex]

PLEASE HELP
8.04b

1. Eliminate the parameter.
x = 5t, y = t + 8

A) y = 5x + 8
B) y = x divided by five + 8
C) y = 5x - 8
D) y = x divided by five - 8

2. Eliminate the parameter.
x = square root of x , y = 3t + 7

A) y = 3x2 + 7
B) y = 3 square root of x + 7, x ≥0
C) y = 3 square root of x - 7, x ≥0
D) y = 3x2 - 7

3. Eliminate the parameter.
x = t2 + 2, y = t2 - 4

A) y = x - 6, x ≥ 1
B) y = x + 6, x ≥ 1
C) y = x2 - 6, x ≥1
D) y = x2 + 6, x ≥1

4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answers

These are four questions and four answers:

Question 1. Eliminate the parameter. x = 5t, y = t + 8

Answer: option B: y = (x / 5) + 8 ↔ x divided by 5 + 8

Explanation:

1) From x = 5t => t = x / 5

2) Substitute t in y = t + 8 => y = (x / 5) + 8

Which is the option B) y = the division of x by 5, added to 8.

Question 2. Eliminate the parameter.

There is an error in the question, because it says x = √x

If the righ question is x = √t , y = 3t + 7 , then the answer is the option A) y = 3x^2 + 7

Explanation:

1) Given: x = √t , y = 3t + 7

2) from x = √t => t = x^2

3) Substitute t = x^2 in y = 3t + 7

=> y = 3 x^2 + 7 ↔ option A) y = x^2 + 7

Question 3. Eliminate the parameter.

x = t^2 + 2, y = t^2 - 4

Answer: option A) y = x - 6

Explanation:

1) From x = t^2 + 2 => t^2 = x - 2

2) Substitute t^2 in y = t^2 - 4

=> y = x - 2 - 4

=> y = x - 6, since t^2 is ≥ 0, then x ≥ 0

=> option A) y = x - 6, x ≥ 1

Question 4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t

Answer: x^2 + y^2 = 16

Explanation:

1) Square both sides of x = 4 cost

=> x^2 = (4 cos t)^2

x^2 = 16 (cos t)^2

2) Square both sides of y = 4 sin t

y^2 = 16 (sin t)^2

3) Add x^2 and y^2

x^2 + y^2 = 16(cos t)^2 + 16 (sin t)^2

=> x^2 + y^2 = 16 [ (cos t)^2 + (sin t)^2 ]

4) since (cos t)^2 + (sin t)^2 = 1

x^2 + y^2 = 16

Graph the following inequality and then select the correct graph below.

y ≤ x - 2

Answers

It would be the third graph for y<=x-2

Hope it helps.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y\leq x-2[/tex]

The solution of the inequality is the shaded area below the solid line

The equation of the line is [tex]y= x-2[/tex]

The slope of the line is positive [tex]m=1[/tex]

The y-intercept of the line is the point [tex](0,-2)[/tex]

The x-intercept of the line is the point [tex](2,0)[/tex]

therefore

the graph in the attached figure

think of 2 numbers that subtract to 5 and multiply to 24

Answers

To solve this
write out all the numbers that multiply to get to 24 and subtract and see which will be 5
1 * 24 <--- -23
2* 12 <--- -10
3*8 <--- -5
4*6 <--- -2
6*4 <--- 2
8*3<--- 5
12*2<--- 10
24*1<---23

We can see that 8 and 3 multiply to get 24 and subtract to get 5

8*3 = 24
8 - 3 = 5

Hope this helps :)

Which statement about this product is true?

0.44 ×(−5 3/4)

It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.

It is equal to −5 3/4 because 4/4 is equal to 1, and 1 times any number equals that number.

It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6

It is less than −5 3/4 because multiplying by a number less than 1 gives a smaller number.

Answers

Answer:

It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6

Step-by-step explanation:

i guessed it and it was right so ye.

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=4.5\\ x=3 \end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k \\\\\\ 13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}[/tex]

Find the simplified form of the expression. Give your answer in scientific notation.

(9 x 10 5)(6 x 10 -7)

A. 5.4 x 10 -34

B. 1.5 x 10 -1

C. 5.4 x 10 -1

D. 1.5 x 10 -34

Answers

We have that exponents satisfy [tex]a^x*a^y=a^{x+y}[/tex]
Now we get: [tex](9*10^5)(6*10^{-7})=9*6*10^5*10^{-7}[/tex] by associativity of multiplication.
This is equal to: [tex]54*10^{5+(-7)}=54*10^{-2}[/tex] by the property we stated above, for a=10. Scientific notation requires that the coeeficient in fron tof the power of 10 is between 1-10 and thus since 54=10*5.4, we have that the expression is equal to: 5.4*10*[tex]10^{-2}[/tex]=[tex]5.4*10^{-1}[/tex]. Hence the correct answer is C

Choose the option that correctly completes the statement.

A triangle must have _____ one acute angle.
at most
at least

Answers

at least one acute angle

at least is the answer

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. When he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon?

Answers

His end mileage minus his starting mileage will give us the total number of miles he traveled. 28017-26645=1372 miles traveled.
We can divide that by his average mpg to figure out how many gallons of gas he bought:
1372/48 = 28.583 gallons.
Now divide the amount he paid by this to get the price per gallon:
62.28/28.583 = $2.179 per gallon of gas.

What is the simplest form of (8x2)3?

Answers

[tex] (8x^2)^3 = [/tex]

[tex] = 8^3 \times (x^2)^3 [/tex]

[tex] = 512x^{2 \times 3} [/tex]

[tex] = 512x^6 [/tex]

Find the range of ƒ(x) = –2x – 5 for the domain {–2, –1, 1, 2}.

Answers

-2(-2)-5= -1 -2(-1)-5=-3 -2(1)-5=-7 -2(2)-5=-9

By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain

The given function is :

f(x) = -2x - 5

For x = -2 , f(x) is:

f(-2) = (-2*-2) - 5 = 4 - 5 = -1

For x = -1, f(x) is :

f(-1) = (-2*-1) - 5 = 2 - 5 = -3

For x = 1 , f(x) is

f(1) = (-2*1) - 5 = -2 -5 = -7

For x = 2, f(x) is

f(2) = (-2*2) - 5 = -4 -5 = -9

The range is -1 , -3 , -7 , -9

Hope this helps ..!!

Thank you :)

Given that (-4,1) is on the graph of f(x), find the corresponding point for the function 4f(x)

Answers

f(-4) = 1
4f(-4) = 4

The point of interest is (-4, 4).

Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.

Answers

We will evaluate both expressions step by step.

Sylvia's espression:
h + 0.05h
h: Original hat price.
0.05h: Increase of 5% due to sales tax.

Jin's expressions:
1.05h
h: Original hat price.
1.05: Factor for which you must multiply the original price to add 5% due to sales tax.

Answer:

Step-by-step explanation:

Sylvia's expression

H: Price of hat

0.05: percent sales tax

0.05 h: amount of sales tax Sylvia will pay

h+0.5 h: total amount Sylvia will pay

Jin's Expression

1.05: One whole plus percent sales tax

H: price of hat

1.05 h: total amount Sylvia will pay

Graph this function f(x)=x^2-4x-5

Answers

In order to graph this function you need to get axis of simmetry (by dividing the number with the squared x between the other number with the x), the vertex where the function changes its direction and the x and y axes cutting points.

Answer:

Step 1: a = 1, b = -4

Step 2: x = 2, f(2) = -9

Step 4: (5,0) and (-1,0)

Step 6: f(0) = -5

On the graph the points plotted are (-1,0) , (0,-5) , (2,-9) , and (5,0)

Mrs. Rodriguez has 18 packages of pens in stock at her store on monday. On tuesday, she has 5/6 the number of pens she had on monday. On Wednesday, she has 2/5 of the number of pens she had on tuesday. How many packages of pens does she hve on Wednesday?

Answers

she should have 6 pens left over

Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.

[tex] Number \; of\; packages\; of \; Pens\; on\; Monday=18\\ \\ [/tex]

On Tuesday, she has 5/6 the number of pens she had on Monday, which means...

[tex] Number \; of\; packages\; of \; Pens\; on\; Tuesday=\frac{5}{6} \; of \ 18 = \frac{5}{6} \times 18=\frac{90}{6}=15\\ [/tex]

On Wednesday, she has 2/5 of the number of pens she had on Tuesday, which means...

\\ Number \; of\; packages\; of \; Pens\; on\; Wednesday = \frac{2}{5} \; of \ 15=\frac{2}{5} \times 15=\frac{30}{5}=6

Conclusion:

Number of packages of pens does she have on Wednesday is 6 Packages

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=125.6 \end{cases}\implies 125.6=2\pi r\implies \cfrac{125.6}{2\pi }=\boxed{r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{125.6}{2\pi} } \right)^2[/tex]

Answer:

the answer is a

Step-by-step explanation:

i did the test

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form.

Answers

Let's begin with moving the constant to the side with f(x):
f(x) - 7 = x² + 10x

Next let's add (half of 10)² to both sides of the equation: btw that is 25 but on the right side we will leave it as 5² because it will make the factoring easier

f(x) - 7 + 25 = x² + 10x + 5²

Lets simplify the left side a bit and factor the perfect square trinomial on the right.

f(x) + 18 = (x + 5)²

Finally move the constant back to the side with the binomial

f(x) = (x + 5)² - 18

The vertex is (-5, -18)

Using the completing-the-square method the vertex form of the function

f(x) = x² + 10x + 7 is f(x) = (x + 5)² - 18

The given function is:

f(x) = x² + 10x + 7

Comparing f(x) = x² + 10x + 7 with f(x) = ax² + bx + c

a = 1, b = 10, c = 7

(b/2)² = (10/2)² = 5²

Add and subtract 5² to the right hand side of the equation

f(x) = x² + 10x + 5² + 7 - 5²

f(x) = x² + 10x + 5² + 7 - 25

f(x) = x² + 10x + 5² - 18

f(x) = (x + 5)² - 18

f(x) = (x + 5)² - 18 is of the form f(x) = a(x - h)² + k which is the vertex form of a quadratic equation

Therefore, the vertex form of the function f(x) = x² + 10x + 7 is

f(x) = (x + 5)² - 18

Learn more here: https://brainly.com/question/19105786

Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?

Answers

Assuming that Road C is perpendicular to Roads A and B.

650(2000) = 800x + 800(650)

x = 975 ft

the answer is 975 feet

Picture included!
What is the slope of the line shown in the graph?

A.) -1
B.) -2
C.) 1/2
D.) 2

Answers

By looking at the point 1,1 and 0,3 you rise two and over one creating the ratio 2/1 which reduces down to 2
:D

so, notice in the picture, let's use those points of 0,3 and 1,1

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 3~) % (c,d) &&(~ 1 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-3}{1-0}\implies \cfrac{-2}{1}\implies -2[/tex]

What are the roots of the polynomial equation?

x2−14x−32=0

Answers

x2−14x−32=0
We can easily factor that into:
(x +2) * (x -16) = 0
x1 = -2
x2 = 16

We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.

We are given the quadratic equation :

[tex] x^{2} -14x-32=0 [/tex]

Now let us use AC method to factorise it.

Step 1:

Find product of A and C

A=1 and C =-32

A*C =-32

Step 2:

Find factors of -32 such that they add up to give -14.

Factors of -32 that add up to give -14 are -16 and 2.

Step 3:

Rewrite the equation using factors found in step 2.

[tex] x^{2} -16x +2x -32 =0 [/tex]

Step 4:

Factoring by grouping.

[tex] x(x-16) +2(x -16) =0 [/tex]

[tex] (x-16) (x+2) =0 [/tex]

Step 5:

Find roots.

x-16=0 gives x=16

x+2=0 gives x=-2

Answer : Roots of the given Polynomial equation are 16 and -2.

helpppppppppppppppppppppppppppppp

Answers

x³-x²-17x-15║(x-5)
-------------------------------
-x³+5x² (x²+4x+3)----------- > the quotient q(x)
4x²-17x-15
-4x²+20x
3x-15
-3x+15

the quotient q(x) is x²+4x+3
the answer is the option x²+4x+3

What is the area of this polygon?

Answers

The above polygon is a pentagon
The polygon has a rectangle and a triangle
Area of triangle FSCW
= Length × width
= 9 × 2
= 18 square units
area of triangle FNS
= 1/2 × base× height
= 1/2 × 9 × 6
= 27 square units
Therefore the area of the polygon is
= 27 + 18
= 45 square units

50 POINTS!
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply

A)The inequality should be written as 25s<300.

B)The inequality should be written as 25s>300.

C)The circle is open.

D)The circle is closed.

E)The arrow points left.

F)The arrow points right

Answers

The inequality should be written as 25s <300, The circle is open, and The arrow points left.

Answer:

Step-by-step explanation:

A,C,E

Other Questions

A coach has an opportunity to help athletes develop socially by encouraging them to do what? a. develop good health habits. b. improve their physical conditioning. c. learn cooperation in a competitive context. d. learn to ignore their emotions. e. realize that society rewards winning. 1. Which biotic factors do you see in the photo?2. Which abiotic factors can you detect in this photo?3. In what ways does one biotic factor interact with the abiotic factors?4. Pick one biotic factor and change it dramatically somehow. How will this change affect the aquarium?5. Pick one abiotic factor and change it dramatically somehow. How will this change affect the aquarium? Look at the rational expression below. x^2-4/2-x Which value of x makes the expression undefined? Solve each equation f over 28=24 Write an expression to show the sum of fourteen and triple eight. solve for y 3y^2-9x=0 Parea. (Match The Letter) When conducting a research study, sociologists follow the ___________________, which refers to a structured way to find answers to questions about the world? Which statement supports the idea that Jennings had an eventful life?- "Paul Jenning's story begins in Virginia."- "When Mr. Madison died in 1836, Jennings was still enslaved."- "In 1848, Jennings played a quiet role in a bold plan."-"None of those people had traveled as far as Jennings, though...." all roman citizens from noble families were members of what class Read the passage below and answer the question.Mr. Brown's successor was the Reverend James Smith, and he was a different kind of man. He condemned openly Mr. Brown's policy of compromise and accommodation. He saw things as black and white. And black was evil. He saw the world as a battlefield in which the children of light were locked in mortal conflict with the sons of darkness. The passage above reflects Mr. Smith's _____. Select all that apply.A.) attitudes about raceB.) political leaningsC.) interest in violenceD.) rigidness Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. heidi rented a car one day and paid $58 for 190 miles. on another day she rented a car from the same agency and paid $86 for 330 miles. find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges. Julio is a high school student whose dream is to become a pediatrician. After high school he plans to volunteer at the childrens ward at a hospital for the summer. Julio is working hard to get good grades and plans to go to a good college and then on to medical school.What is Julios long-term goal? dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, jake. while playing, Jake lost two marbles and has only 7 marbles at present. find how many marbles did Dalai have in all A soccer ball has a radius of 6 inches, what is the approximate volume of the ball? Pi =3.14 * Craik and tulving experimentally demonstrated that people effectively remember seeing a specific word after they decide whether that word fits into an incomplete sentence. this research highlighted the effectiveness of what technique Charlie used these steps to solve the equation 6x+5=1+2(3x+2)6x+5=1+23x+2. Which choice describes the meaning of his result, 5=5 To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. The scale used was 1 inch = 15 feet. The actor is 60 inches tall. How tall does the monster appear in the movie? Which racial or ethnic group in texas is concentrated in east texas? bailey and ella are employees for a company. bailey is making a salary or $22,776. bailey is earning a salary this is 48% lower that the salary of ella. what salary is ella earning?