On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the table

Answer:

A = 160 in²

Step-by-step explanation:

Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.

Rectangle A

A = 10 x 7

A = 70 in²

Rectangle B

A = 11 x 6

A = 66 in²
Rectangle C

A = 4 x 6

A = 24 in²

Total Area

A = 70 + 66 + 24

A = 160 in²

Hope this helps and God bless!

Answer:

160

Step-by-step explanation:

Do (6x4)+(6x18)+(7x4)

You don't need to put the parentheses but it makes it look better and make it easier to understand.

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Alright so:

-172 = -11x + 4

-4 - 4 (-4 on both sides)

so,

-176 = - 11x

divide by -11

so,

-11x ÷ - 11 = x

-176÷-11= 16

x=16

Answer:

[tex]f(5)=1249[/tex]

Step-by-step explanation:

Given:

[tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]

[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]

[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]

[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]

Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np.

In this problem, we have that:

Thus, the expected value is given by:

E(X) = np = 100 x 0.12 = 12.

Hence, Cameron's statement is correct.

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Answer:

is the set of infinitely many primitives that a function can have. It is represented by ∫ f(x) dx. It reads: integral of x differential of x. ∫ is the integration sign.

Answer:The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Step-by-step explanation:Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Answer:

p = -3

q = -10

Step-by-step explanation:

[tex]x^{2}+6x+19=x^{2}+6x+9+10[/tex]

[tex]\text{we know that} \ x^{2}+6x+9=\left (x+3)^2\right\ \text{ because it is a special product}[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=(x + 3)^2+10[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=0 \ means\ (x + 3)^2= -10\ means\ (x -\ - 3)^2= -10[/tex]

Answer:

=> -x² + 3x

Step-by-step explanation:

-x (x – 3)

=> -x² + 3x

Answer:

Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]

Step-by-step explanation:

[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]

Simplify the expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]

Transform the Expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]

Calculate

[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]

Answer:

[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]

[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]

Step-by-step explanation:

Let the series be: 4, 7, 10, 13,.....

Given,

We know that,

[tex]\bf\:a_{n} = a + (n - 1)d[/tex]

Equation for the [tex]72^{nd}[/tex] term of the series,

[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]

By using this formula & substituting the values,

[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]

•°• The [tex]72^{nd}[/tex] term of the series is 217.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

It's {2} since it's the common between A and B

you can just split the figure in 2 separate figures and them add the areas:

area rec. 1:

3m×3m= 9m²

area rec. 2:

3m× (2m+3m)

= 3m×5m

=15m²

total area:

9m²+15m²= 24m²

Answer:

Area = 24

Step-by-step explanation:

Work and explanation ~

An estimate of the number of visitors that vist the museum during a month given the average number of visitors per day is 15,128.

Multiplication is an arthmetic operation that can be used to determine the product of a number. The sign used to denote multiplication is x.

In order to determine this value, multiply the average daily visitors by the number of days in a month

488 x 30 = 15,128

To learn more about multiplication, please check: https://brainly.com/question/13814687

Step-by-step explanation:

1,2,4,8,16,32,64,128

Multiplying by 2

1,3,5,7,9,11

Adding 2

30, 25, 20, 15, 10, 5

Subtracting 5

Answer:

1,2,3"8"16,32"64"128

1"3"5,7"9"11

30"25""20"15,10,5

Step-by-step explanation:

by x2

Answer:

4/10 = 2/5 = 40%

Step-by-step explanation:

Q,R,S,T = 4

Q R S T U V W X Y Z =10

To answer this, we substitute 12 ft to the f(h) in the given equation,   
f(h) = -8t² + 8t + 12 = 12

Subtracting 12 from both sides of the equation will give us an answer of,

-8t² + 8t = 0

Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second. 

Answer:

Below in bold.

Step-by-step explanation:

When he lands h = 0  so

-8t^2 + 8t + 12 = 0

Solving for t

t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16

t = 1.82 seconds.

Answer:

The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

hope this helps

Answer:  x = 35

Step-by-step explanation:

-5 = 0.1x - 8.5

Step 1: Rewrite the equation:

0.1x - 8.5 = -5

Step 2: Add 8.5 on both sides.

          0.1x = 3.5

Step 3: Divide 0.1 on both sides.

               x = 35

Answer:

(4,-1) is a solution

Step-by-step explanation:

x + 2y = 2

x - 2y = 6

We want to see if (4,-1) is a solution to the system.

To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution

x + 2y = 2

==> plug in x = 4 and y = -1

4 + 2(-1) = 2

==> multiply 2 and -1

4 - 2 = 2

==> subtract 2 from 4

2 = 2

x - 2y = 6

==> plug in x = 4 and y = -1

4 - 2(-1) = 6  

==> multiply -2 and -1

4 + 2 = 6

==> add 4 and 2

6 = 6

Both equations are true therefore (4,-1) is indeed a solution to the system

Answer:

[B]

Step-by-step explanation:

Given:

People leaving the library were asked how many books they checked out that day The result are: 1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

To Find:

Which histogram correctly shows the data set?

Solution:
Since it given from the histogram:

0-5, 6-11, 12 - 17,18-23

From the result :

1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

Thus,

1,2,3,5 = 0-5

8,9,10,11 = 6-11

12,13,14,15,16 = 12-17

18,20 = 18-23

From this we can see that:

for

0 - 5 = 4

6 - 11 = 4

12 - 17 = 5

18 - 23 = 2

Hence, the answer is [B]

Kavinsky

Answer:

27%

Step-by-step explanation:

There are 11 balls in total. If 8 are red, (11-8) are blue =3

3/11 is the fraction of blue balls. Convert to percent =27%

Answer:

56/3 pi  cm^3

Step-by-step explanation:

1/2 volume of sphere = 1/2  4/3 pi r^3

volume of cone   1/3 pi r^2 h

r =2   h = 10  

result :  56/3 pi  cm^3

The volume of the ice cream is 58.64 cubic cm.

A three dimensional figure has three dimensions as length, breadth and height. The volume of a three dimensional figure is the amount of the substance contained by it.

Given that,

The height of cone part of the ice cream is  h = 10 cm.

The radius of the hemisphere is r = 2 cm.

As per the diagram given the radius of the hemisphere is equal to the radius of cone as 2 cm.

The volume of hemisphere is given as (2/3) × πr³.

And, the volume of cone is given as (1/3) × πr²h.

Now, the volume of the ice cream treat is equal to the sum of the volume of cone and hemisphere as,

V = (1/3) × π × r²h +  (2/3) × π × r³

Substitute the values to get,

V = (1/3) × π × 2² × 10 + (2/3) × π × 2³

  = (56/3) × π

  = 58.64

Hence, the volume of the ice cream treat is 58.64 cubic cm.

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Answer:

∠ BED = 57°

Step-by-step explanation:

angles on the circumference subtended by the same arc are congruent,

∠ BCD and ∠ BED are both subtended by arc BD , then

∠ BED = ∠ BCD = 57°

Answer:

A

Step-by-step explanation:

divide all sides by four and you get first answer.

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.

Kim caught a fish of length = 9/10 m

Doug caught a fish of length = 2/3 as long as Kim's fish.

                                                 = 2/3 x 9/10

                                                 = 18 / 30

                                                 = 3/5

Thus, Doug caught a fish that was 3/5 meters long.

Learn more about multiplications;

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Answer:

B

Step-by-step explanation:

2q+437= 931

subtract 437

2q= 494

divide by 2

q= 247