The radius of a cylinder water tank is 4 ft, and its height is 12 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answer:

94

Step-by-step explanation:

multiply the averages by their weighted percentage

x = final exam

88(.2) + 84(.2) + 92(.4) + x(.2) = 90

solve for x

x(.2) = 90 - 71.2 = 18.8

divide both sides by 0.2

x = 94

LM+MO=LO

7x-9+14=10x-7

7x+5=10x-7

7x-10x+5-5=10x-10x-7-5

-3x=-12

-3x/-3=-12/-3

x=4

10*4-7

=40-7

=33 in.

The length of LO is 33 inches.

It is given that LM = 7x - 9.

MO = 14

LO = 10x - 7

Equation is the combination of variables, constant and mathematical symbols.

M is between L and O  

                           LM + MO = LO

                       7x - 9 + 14 = 10x - 7

                      7x - 10x = -7 + 9 - 14

                         - 3x = - 21 + 9

                           - 3x = - 12

                             x = 12/3              

                               x = 4

So , putting the value of x in LO = 10x - 7

                                               LO = 10 (4) -7

                                                LO = 40 -7

                                                  LO = 33 inches

The length of LO is 33 inches.

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Answer:

120 calories

Step-by-step explanation:

8 oz is 40 calories so an extra 8 oz is another 40 calories added onto the 80 from the 16 oz to equal 24 oz

Answer:

The last graph

Step-by-step explanation:

Graphs 3 and 4 have negative rates of change.

Options C and D are the correct answer.

We have,

The rate of change  for the interval 0 to 2 for each graph can be calculated as:

= (b - a) / (2 - 0)

Where (0, a) and (2, b) are the coordinates on each line.

Now,

Graph 1:

Rate of change.

=  (0 - (-3) / (2 - 0)

= 3/2

Graph 2:

Rate of change.

=  (-2 - (-3) / (2 - 0)

= (-2 + 3) / 2

= 1/2

Graph 3:

Rate of change.

= (-4 - (-3) / (2 - 0)

= (-4 + 3) / 2

= -1/2

Graph 4:

Rate of change.

= (0.5 - 2) / (2 - 0)

= -1.5 / 2

Thus,

Graphs 3 and 4 have negative rates of change.

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Answer:

160000

Step-by-step explanation:

4 x 10^4 = 40000

2 x 10^5 = 200000

200000-40000=160000

hope this helps :)

Answer:

the Answer is B

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

[tex] { \sqrt{xy} } = 3[/tex]

[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]

[tex] = > xy = 9[/tex]

Also ,

[tex]x - y = 12[/tex]

[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]

[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]

Putting the value of 'xy' above gives :-

[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]

[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]

Answer:

-3m

Step-by-step explanation:

Answer:

The length of one side is 25 tiles

Step-by-step explanation:

Given

[tex]Tiles = 100[/tex]

Required

Determine the length of one side

The given parameter represents the perimeter of the table

Since the table is a square, then

[tex]Perimeter = 4L[/tex]

Substitute 100 for Perimeter

[tex]100 = 4L[/tex]

Solve for L

[tex]L= 100/4[/tex]

[tex]L = 25[/tex]

Hence:

The length of one side is 25 tiles

Answer:

what is it then

Step-by-step explanation:

Answer: 370,000

Step-by-step explanation:

712,350 - 342,802 round to the nearest ten thousands is 370,000.

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given expression is,

712,350 - 342,802

Solving we get,

712,350 - 342,802 = 369,548

Now to round to the nearest ten thousands,

Digit at ten thousands is 6.

Digit to right of 6 is 9 which is greater than 5,

Thus round up the number.

So, we get 370,000.

Thus, 712,350 - 342,802 round to the nearest ten thousands is 370,000.

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Answer:

5-7 x = 2

Step-by-step explanation:

a number times negative seven added to five equals two

"a number times negative seven added to five equals two" is represented by expression 5-7x=2

An expression is combination of variables, numbers and operators.

The given sentence is "a number times negative seven added to five equals two"

Here let us consider the unknown number to be x.

As in the sentence we have a number times negative seven.

Times in the sentence means product. So the number x is multiplied with -7. i.e is -7x

Now a number times negative seven added to five.

This means 5 is added to -7x

-7x+5

"a number times negative seven added to five equals two" means -7x+5 is equal to two

-7x+5=2

5-7x=2

Hence the "a number times negative seven added to five equals two" is represented by expression 5-7x=2

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Answer:

b edge

Step-by-step explanation:

The interquartile range is 5.

Given,

The data for the number of pounds of trash collected by each teenager is shown below.

26, 26, 21, 22, 20, 25, 35

We need to find the interquartile range

It is given by:

= Q(3) - Q(1)

Q(3) = median of the upper half

Q(1) = median of the lower half.

Arrange in ascending order.

20, 21, 22, 25, 26, 26, 35

We have,

Lower half

Q(1) = 21

Upper half

Q(3) = 26

Interquartile range:

= Q(3) - Q(1)

= 26 - 21

= 5

Thus the interquartile range is 5.

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Answer:

101cm

1000m= 1km,

When 1m is converted to km, it gives 0.001km=101mm.

Therefore the longest is 101cm because when we convert, we will get 1.1m.

Hope this answer will help

Answer:

There are 54 granola bars left.

Answer:

[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

[tex]d=r=0-(-7/6)[/tex]

Subtract:

[tex]d=r=7/6[/tex]

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]

We can confirm by graphing (using a calculator):

The u it rate would be words per minute.

Divide total words by total minutes:

800/12 = 66.666 words per minute.

Round the answer to 66.7 or 67 depending on your choices.

Answer:

x >-72

Step-by-step explanation:

Answer

elno  s un nmeuro edec iamalu

Step-by-step explanation:

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the 2 points: [tex]m = \frac{16-8}{1-0}[/tex]

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

We have now found the equation of the linear function: y = 8x+8

Answer:

4.25

Step-by-step explanation:

Answer:

Multiply 2*15

Step-by-step explanation:

2 · 15 - 2 ÷ 5

PEMDAS

Parentheses  none

Exponents  - none

Multiply and divide from left to right

2*15 = 30

Then 2÷5 = .4

30 - .4 = 29.6

Answer:

You would multiply first.

Step-by-step explanation:

The order of operations goes Multiplication or Division then Adding or Subtracting. The equation is 2 × 15 - 2 ÷ 5. Since there you have to multiply and divide you go left to right on the equation. This means that you multiply first.

Hope This Helps :)

Answer:

[tex]Probability = 0.7374[/tex]

Step-by-step explanation:

Given

Represent the probability that a student has a phone with p

[tex]p = 97\%[/tex]

Required

Determine the probability that 10 has

This is calculated as thus:

[tex]Probability = p^n[/tex]

Where n = 10

[tex]Probability = (97\%)^{10}[/tex]

[tex]Probability = 0.97^{10}[/tex]

[tex]Probability = 0.73742412689[/tex]

[tex]Probability = 0.7374[/tex] --- Approximated

Answer:

quarterly

Step-by-step explanation:

i just took the unit exam i got it right, its quarterly.

Answer:

y = 9/2x -6.5

Step-by-step explanation:

m = (7-(-2))/(3-1)

m = 9/2

b = -6.5

y = 9/2x -6.5

Answer:

190

Step-by-step explanation:

================================================

Work Shown:

1 gallon = 3.785 liters ..... given info

50*(1 gallon) = 50*(3.785 liters) .... multiply both sides by 50

50 gallons = 189.25 liters

50 gallons = 189 liters .... round to the nearest whole number

Answer:

180m

Step-by-step explanation:

Answer:

His second smoothie recipe

Step-by-step explanation:

Given that Victor has two receipts for smoothies:

The first recipe requires 2 strawberries to 7 cups of other ingredients (2:7),

The second recipe requires 3 strawberries to 9 cups of other ingredients, (3:9).

Let's crate a ratio tables in order to determine which recipe has more strawberry compared to other ingredients.

Ratio tables for first Recipe:

Straw berry | Other ingredients

2 | 7

4 | 2(7) = 14

6 | 3(7) = 21

Ratio Table for Second Recipe:

Straw berry | Other ingredients

3 | 9

6 | 2(9) = 18

9 | 3(9) = 27

Comparing his first recipe and his second recipe, when using 6 strawberries, his second recipe requires more cups of strawberry compared to other ingredients (6:18) than that required in his first recipe (6:21).

Answer:

correct answer is a = (v - u)/t

Answer:

correct answer is a = (v - u)/t

Step-by-step explanation:

Answer:

1). a

2). b

3). c

4). d

Step-by-step explanation:

From the picture of a cone attached,

Radius of the circular top = r

Height of the cone = h

Slant height of the cone 'l' = 6

Area of the circular top of the cone with radius 'r' = πr²

Amount of space inside the cone = Volume of the cone = [tex]\frac{1}{2}\pi r^{2} h[/tex]

The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)

The vertical height 'h' of the cone when the cone is standing upright = [tex]\sqrt{6^2-r^2}[/tex]

[By Pythagoras theorem, l² = h² + r² ⇒ h = [tex]\sqrt{l^2-r^2}[/tex]]