Twelve identical cylindrical pop cans are placed in a box. If sand fills the space between the pop cans and the cans and the sides of the box, what volume of sand is needed?

The given series  40 + 20 + 10 + 5 is a geometric series.

The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.

Let us find the ratio of consecutive terms of each of the given series.

For the series 40 + 50 + 60 + 70

50/40 = 5/4

60/50 = 6/5

Since, 5/4 ≠ 6/5 hence, it is not a geometric series.

For the series 40 + 42 + 44 + 46

42/40 = 21/10

44/42 = 22/21

Since, 21/10 ≠ 22/21 hence, it is not a geometric series.

For the series 40 + 80 + 40 + 120

80/40 = 2

40/80 = 1/2

Since, 2 ≠ 1/2 hence, it is not a geometric series.

For the series 40 + 20 + 10 + 5

20/40 = 1/2

10/20 = 1/2

Since, 1/2 = 1/2 hence, it is a geometric series.

Therefore, D is the correct option.

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This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.

Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.

Matter can exist in various states. They are:

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Answer:

248

Step-by-step explanation:

18-13 =5

16*5=80/2 because it is a triangle = 40

40+16*13=

40+208+

248

Answer:

248

Step-by-step explanation:

k12 :)

Answer:

x=120

Step-by-step explanation:

so if you look at a angle ruler you will see it's 120 so now if you look one up and put it to 120 it would match i wouldn't know how accurate it is but from what i know its 120

Answer:

I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.

Step-by-step explanation:

Graph:

Check y intercept and the differences in both values.

Regular triangle:

Imagine te steps being taken or revers the original steps.

Answer:

Mean

Step-by-step explanation:

2,0, 1, 2, 4, 1,4,0,3,2

in ascending order we have

0 0 1 1 2 2 2 3 4 4

There are no outliers here so I would say the mean.

Actual mean = 1.9

Answer:

Hi! this is the answerThe length of the third side is a-2. :))))))))

Step-by-step explanation:

The speed of the train is given by T = 60 km/hr

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let's call the speed of the car "x" (in km/h).

And the speed of the train is "x+5" (also in km/h).

We can use the formula:

distance = speed x time

To write two equations, one for the distance traveled by the car and one for the distance traveled by the train:

The distance traveled by car C = x × 4

The distance traveled by train T = (x+5) × 7

We know that the total distance traveled is 640 km, so we can write:

x × 4 + (x+5) × 7 = 640

Expanding the brackets and simplifying, we get:

4x + 7x + 35 = 640

11x = 605

x = 55

So the speed of the car is 55 km/h. Using this, we can find the speed of the train:

The speed of train T = speed of car C + 5

The speed of train = 55 + 5

The speed of train = 60 km/h

Hence , the speed of the train is 60 km/hr

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Answer:

pa branliest

Step-by-step explanation:

The height of a triangle is 4 inches more than twice the length of the base

Step-by-step explanation:

A = 1/2*h(base + base)

Plugging everything in gives you:

1/2*(6.8)(7.5 + 13.7 + 5.3)

((13.7 + 5.3) gives you the bottom base)

First, adding inside the parentheses:

1/2*(6.8)(26.5)

Multiply 6.8 by 26.5(h times bases):

1/2*(180.2)

Lastly, multiply:

A= 90.1 m^2

Hope this helps :)

Answer:

14.18 cm

Step-by-step explanation:

Area = pi r^2

sqrt ( area/pi)  = r

diameter is 2 x r     and circumference is pi * d

circumference      pi *   2 * ( sqrt area/pi)  = 14.18 cm

Answer:

D and B

Step-by-step explanation:

Because D is saying the negative number is less than, we know it is true.

Because B states that -7.1 is more, it is correct. -7.1 is closer to zero than -7.8, making it a larger number.

Answer:

B. -7.1 > -7.8

D. -6[tex]\frac{3}{5}[/tex] < 6[tex]\frac{2}{5}[/tex]

both B. and D. are correct!

Answer:

126

Step-by-step explanation:

In math, "of" usually means multiplication.

9/13 of 182 means 9/13 × 182.

9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126

Answer: 126

Answer:

126

Step-by-step explanation:

To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.

182 ÷ 13 = 14

14 • 9 = 126

To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.

126 ÷ 182 = 0.6923

9 ÷ 13 = 0.6923

I hope this helps.

Answer:

not answered this question

Answer:

How many students are on the roster for Morehouse Homeroom?

Answer:

not clear but it should be 0 because it doesnt make sense

Step-by-step explanation:

Answer:

Equation would be 1.25m = 6.50.

The taxi traveld 5.2 miles.

Step-by-step explanation:

So we know that they charge 1.25 per mile but we dont know how many miles they traveld.

Our total cost was 6.50. This is imediatly enough information to help build an equation.

Since the amount of the miles travels is unkown, we leave it as "m" but we know it cost 1.25 per mile therfore it makes it 1.25m

Next we do, 1.25m = 6.50 since 6.50 was our total cost.

Now, we solve it! We solve it by simply dividing 1.25 on both sides:

[tex]\frac{1.25m}{1.25}[/tex] = [tex]\frac{6.50}{1.25}[/tex]

When we divide 1.25 by 1.25 we get 1 which leaves it at 0. When we divide 6.50 by 1.25 we get 5.2.

m = 5.2

miles = 5.2

Answer:if I’m not mistaken I think it’s -4 I did this assignment too just look around to see I’m not 100% sure

Step-by-step explanation:

Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

From the complete question, the zeros of the quadratic function are:

x = 3 and x = 8

Rewrite as:

x - 3 = 0 and x - 8 = 0

So, the quadratic equation is:

f(x) = a(x - 3)(x - 8)

Also from the graph, we have the following point

(x,y) = (4,60)

Substitute 4 for x and 60 for f(x) in the function

a(4 - 3)(4 - 8) = 60

Evaluate the difference

a(1)(-4) = 60

Evaluate the product

-4a = 60

Divide both sides by 4

a = -15

Substitute a = -15 in f(x) = a(x - 3)(x - 8)

f(x) = -15(x - 3)(x - 8)

Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

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Answer:

As Per Provided Information

Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .

We have been asked to determine it's surface area.

[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]

where,

w denote width

h denote height

l denote length

[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]

Therefore,

Answer:

Surface area of rectangular prism is 164cm²

Step-by-step explanation:

Given :-

To find:-

Solution:-

Surface area of rectangular prism :-

2(lb + bh + hl)

putting the known values ,

Surface Area = 2(3×4+4×10+10×3) cm²

Surface area = 2(12+40+30) cm³

Surface area = 164cm²

Answer:

6[tex]m^{2}[/tex]

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism,

B = 1/2 h(b1+b2) since B is the area of the base

[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula

which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base

An outside angle equals the sum of the two opposite inside angles.

x = 83 + 46 = 129

Answer: 18

Step-by-step explanation:

Start by evaluating in the parenthesis

First simplify the exponents

[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]

Now simplify in the parenthesis

[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]

Now multiply

[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]

Answer:

C

Step-by-step explanation:

It's more profitable to buy the 6 oz for 1.98 due to the price range and how much you can get with just one purchase of 1.98. Instead of 10 oz for 4.19 or anything else you can double or even triple the amount by buying just the 6 oz more than 1 at a time :)