The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. A graph titled Water Supply with number of days on the x-axis and gallons of water left on the y-axis. A line goes through points (6, 33) and (15, 15). What does the y-intercept represent?

[tex]\text{Simplify:}\\\\13y + x - 7y\\\\\text{Combine like terms}\\\\13y + x - 7y\\\\6x+y\\\\\text{Since you can't combine anything else, that will be your answer}\\\\\boxed{6y+x}[/tex]

Answer:

The answer is D) The girls are generally taller than the boys.

Step-by-step explanation:

The heights of a group of boys and girls at a local middle school are shown on the dot plots. When comparing the shapes of the two sets of data, the girls are generally taller than the boys.

I hope I helped, please correct me if I'm wrong!

Answer:

One of the most important differences between the sine and cosine functions is that sine is an odd function (i.e. while cosine is an even function (i.e. . Sine and cosine are periodic functions; that is, the above is repeated for preceding and following intervals with length .

Step-by-step explanation:

Hope that helps

Answer:

60

Step-by-step explanation:

Sum the parts of the ratio, 5 + 9 + 13 = 27 parts

Divide the amount of concrete by 27 to find the value of one part of the ratio.

324 ÷ 27 = 12 ← value of 1 part of the ratio , thus

5 parts = 5 × 12 = 60 ← cement

9 parts = 9 × 12 = 108 ← sand

13 parts = 13 × 12 = 156 ← gravel

To make 324 ft of concrete, we would need 60 ft of cement.

We have,

Given the ratio of cement, sand, and gravel as 5:9:13, we can consider the total number of parts in the mixture as 5 + 9 + 13 = 27 parts.

Now,

27 parts = 324 ft

Divide both sides with 27.

1 part = 324/27 ft

1 part = 12 ft

Now,

1 part = 12 ft

Multiply 5 on both sides.

5 parts = 5 x 12 ft

5 parts = 60 ft

Therefore,

To make 324 ft of concrete, we would need 60 ft of cement.

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Answer:

104

Step-by-step explanation:

2x^2+8x−5=0

This is written in the form

ax^2 + bx+c

a =2  b = 8   c=-5

The discriminant is

b^2 -4ac

8^2 - 4(2)(-5)

64 + 40

104

The discriminant is 104

Answer:

3.400

Step-by-step explanation:

Cinema 25        Cinema 16  

   5+

2+ 5 =7

the people mostly pick Cinema 25

7/2 =  3.5

Answer: 3.40 x 10

Answer:

(-infinity, 1)

Step-by-step explanation:

Answer: i would say no there not always negative

Answer:

Step-by-step explanation:

Answer:

hope this is correct

Answer:

D) About 2,700 in^2

Step-by-step explanation:

Equation for area of a circle is A=3r² (it would usually be A=πr² but we are using the approximation)

The diameter is 60, we want to find the radius for the equation. We can use the equation d=2r to find the radius of the circle.

60=2r

30=r

Put radius into the area equation.

A=3(30)²

A=3(900)

A=2700

Answer:

2,700 in^2 ; Option D

Step-by-step explanation:

If it is known that the diameter of Circle B ⇒ 60 inches,

[tex]Diameter - 60 inches,\\\\Radius - 60 / 2 = 30 inches,\\\\Area of Circle B ( \pi stands for 3 ) - \pi * ( r )^2 = ( 3 ) * ( 30 )^2 = ( About ) 2,700 square inches\\\\Solution; 2,700 square inches[/tex]

( About ) 2,700 square inches; Option D

Answer:

6.63 ft

Step-by-step explanation:

In this case we use pythagora's theorem which is

[tex]hyp^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]opp^{2}[/tex]

in this case, the hypotenuse (hyp) is the length of the ladder, the opposite (opp) is the height of the tree house and, the adjacent (adj) is the distance of the ladder's bottom to the base of the tree.

hpy = 12 ft

opp = 10 ft

adj = ?

substituting into the equation above, we have

[tex]12^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]10^{2}[/tex]

144 = [tex]adj^{2}[/tex] + 100

144 - 100 = 44 = [tex]adj^{2}[/tex]

the image is shown below

adj = [tex]\sqrt{44}[/tex] = 6.63 ft

Answer:

124(cm)^2

Step-by-step explanation:

total surface area of a cuboid=[tex]2(LB+BH+HL)[/tex]

length=7cm

Breadth=5cm

Height=4cm

2{(2*7)+(5*4)+(4*7)}

2{14+20+28}

2*62

124(cm)^2

Answer:

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers.

Which algebraic inequality represents this situation?

(correct) One-fourth x + 5 and one-half greater-than-or-equal-to 20

One-fourth x + 5 and one-half less-than-or-equal-to 20

One-fourth x + 5 and one-half greater-than 20

One-fourth x minus 5 and one-half greater-than 20

Step-by-step explanation:

The first one is correct.

Answer:

it's A :P

One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

2(x-4)+3x=17

You distribute

2x-8+3x=17

Simplify

5x-8=17

add 8 to both sides

5x=25

x=5

Boom. :0

Answer:

The correct constraint is:

0 ≤ x ≤ 15

Step-by-step explanation:

The function given to us in the question is:

y = -2x² + 30x + 200

It is given that the function is at least 200, we can write is as:

-2x² + 30x + 200 ≥ 200  ⇒  Equation (i)

To find the constraint, replace ≥ sign with = sign and solve for x:

-2x² + 30x + 200 = 200

-2x² + 30x = 0

x(-2x + 30) =0

x = 0         ,      -2x + 30 = 0

x = 0         ,      -2x = -30

x = 0         ,       x = -30/-2

x = 0         ,       x = 15

So the end values of constraint are 0 and 15.

Take any value between 0 and 15 and substitute in equation (i) to see whether it satisfies the equation or not.

-2x² + 30x + 200 ≥ 200

Substitute x = 5 in the equation:

-2(5)² + 30(5) +200  ≥  200

-50 + 120 +200 ≥ 200

270 ≥ 200

As the equation satisfies. it means that the solution lies between 0 and 15, including the end values.

Hence.

0 ≤ x ≤ 15

Answer:

0 ≤ x ≤ 15

Step-by-step explanation:

got it right on flvs

Answer:

Strong positive correlation, 0.9663

Step-by-step explanation:

The value of the correlation coefficient will be; -0.2985, and the relation between x and y is a weak negative.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

The value of the correlation coefficient can be found as;

r = -0.2984713607

After rounding off we get;

r = -0.2985

As the value of r is not close to the -1 therefore, the relation between x and y is weak negative.

Hence, the value of the correlation coefficient will be; -0.2985, and the relation between x and y is a weak negative.

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Answer:

Probably A, or 1

Step-by-step explanation:

You see, a square root function actually looks like a sideways parabola, just missing one side because of the domain of a square root. Now, the reason I can tell them apart is because our vertex is below the y-axis, and the only equation that has a negative y-intercept is the first one, or A.

Hope this helps!

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = [tex]\frac{150}{222}\times 100[/tex] = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = [tex]\frac{180}{180}\times 100[/tex] = 100%

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

16 - 4y  =-4 • (y - 4)

-4 • (y - 4)  = 0

y-4 = 0

y = 4

Answer: $80536.9

Step-by-step explanation:

From the question, at the end of a year, the total debt of a country stood at about $24 trillion and the country has a population of 298 million.

To calculate the amount in dollars per person, we divide the gross debt by the population. This will be:

= 24 trillion ÷ 298 million

= 24,000,000,000,000 ÷ 298 000 000

= 80536.9

The amount in dollar per person will be $80536.9

Answer:

8.880,8.808,8.018,8.008

The numbers 8.008, 8.018, 8.088, 8.88, and 8.808 are in ascending order will be 8.008, 8.018, 8.088, 8.808, and 8.88.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given

8.008, 8.018, 8.088, 8.88, and 8.808.

Then we are arranging in ascending order, then we have

8.008, 8.018, 8.088, 8.808, and 8.88.

More about the ascending order link is given below.

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Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees

Answer:

jxz

Step-by-step explanation:

just did the question on edge

Answer:

jxz

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

The square root of 10 is 3.16. Point F is between 3.1 and 3.2.

The point on the number line best represents √10 is point F.

The following information should be considered:

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Answer:

-2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Our first step is to get rid of the fraction by multiplying both sides by 3.

So in our second step we have x - 4 > -36.

Now add 4 to both sides to get x > -32.

Since x is greater than -32, the values that would

make this inequality true are -31 and 31.

Answer:

x=1

Step-by-step explanation:

1. add 7/3x and 1/3x

2. subtract 5/3x because its the lowest number with a variable and you'll get 3/3x = 1

3. divide 3/3 from both sides (3/3) equals 1, so its 1/1 which is 1

4. x=1

you know that (0,3) is a point and (1,1) is another point.

so now you have to replace them in the follow equations.

i did that and the right answer is the first equation => y=-2x+3

Answer:

a

Step-by-step explanation:

i did the question

Answer:

It's not listed precisely, but basically, it would be 1 foot / 12 inches

Step-by-step explanation: