Find the volume of the cone. Round to the nearest tenths

Answer:

1) 20

2) 4

Step-by-step explanation:

1)

I) Substitute t with 2:

2² + 5(2) + 6

II) Simplify/Evaluate:

2² + 5(2) + 6

4 + 10 + 6

14 + 6

20

2)

I) Setup the equation:

g(t) = 5t - 2 = 18

5t - 2 = 18

II) Solve it:

Reorder the terms:

-2 + 5t = 18

Add 2 to each side of the equation:

-2 + 2 + 5t = 18 + 2

Simplify:

0 + 5t = 18 + 2

5t = 18 + 2

5t = 20

Divide each side by 5:

t = 4

Hope I helped :)

Answer:

1. standard form

2. vertex form

Answer:

Number of bouquet * roses per bouquet = roses per bouquet * Number of bouquet

5 * 12 = 12 * 5

60 = 60

Step-by-step explanation:

Given that :

Jesse :

Number of bouquet = 5

Roses per bouquet = 12

Kyle:

Number of bouquet = 12

Roses per bouquet = 5

To show commutativity :

Number of bouquet * roses per bouquet = roses per bouquet * Number of bouquet

5 * 12 = 12 * 5

60 = 60

Answer:

The answer is D.

Step-by-step explanation:

5x12 is equal to 12x5 (communitive property)

Answer:

4 wholes 3 out of 8

Step-by-step explanation:

...........

Step-by-step explanation:

convert mixed to improper fraction.

5/3×21/8

35/8

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

Answer:

Step-by-step explanation:

Solution

=5 2/3 + 7 5/9

=3×5+2/3+9×7+5/9

=17/3+68/9

=119/9

=13.22

Hope it helped you.

Answer:

The answer is below

Step-by-step explanation:

We are asked to create a box plot. To create a box plot, we need to determine the minimum point, maximum point, lower quartile, upper quartile, interquartile range, median.

First we have to arrange the data in ascending order. This gives:

85, 150, 180, 200, 210, 250, 450

The minimum point = 85

The maximum = 450

[tex]Median=\frac{2}{4}(n+1)^{th}term=\frac{2}{4}(7+1)=4^{th}\ term=200\\\\Median=200 \\\\Lower\ quartile(Q_1)=\frac{1}{4}(n+1)^{th}term=\frac{1}{4}(7+1)=2^{nd}\ term=150\\\\Lower\ quartile(Q_1)=200 \\\\Upper\ quartile(Q_3)=\frac{3}{4}(n+1)^{th}term=\frac{3}{4}(7+1)=6^{th}\ term=250\\\\Upper\ quartile(Q_3)=250 \\\\Interquartile\ range=Q_3-Q_1=250-150=100[/tex]

Answer:

Gradient of the line is 1/2 or 0.5

Step-by-step explanation:

If we use the simple formula

UP divided by ACROSS

Then we can substitute our numbers in. I used the co-ordinates (0,2) and (2,3).

This makes 1/2, because it goes 2 across and 1 up from (0,2) to (2,3).

Answer: 2 (I am not sure if this is correct)

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

Total distance of trip = 980 miles

Miles covered when Amelia slept = 931 miles

what percentage of the total trip had they travelled when Amelia fell asleep?

Miles yet to be covered = 980 miles - 931 miles

= 49 miles

percentage of the total trip had they travelled when Amelia fell asleep = 931 / 980 × 100

= 0.95 * 100

= 95%

Answer:

95%

Step-by-step explanation:

Answer:

1^66 = 1

1^81 = 1

1^52 = 1

1^99= 1

Step-by-step explanation:

Hope this helps

Answer: b = 14.

Step-by-step explanation:

We have the function:

f(x) = x^2 + b*x - 21

The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:

f'(x) = 2*x + b = 0

then the vertex is at:

x = -b/2

Then the minimum of the function f(x) will be:

f(-b/2) = (-b/2)^2 + b*(-b/2) - 21

and we know that the minimum value is -70, then:

f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21

Now we need to solve this equation for b.

-70 = (b^2)/4 - (b^2)/2 - 21

-70 = -(b^2)/4 - 21

-70 + 21 = -(b^2)/4

49 = (b^2)/4

49*4 = b^2

196 = b^2

√196 = b = 14

The value of b is 14.

Answer:

same volume

Step-by-step explanation:

5X4X3=60, 3X4X5=60

Answer:

first find the diameter 3x2=6  

6 is the diameter multiply the diameter x 3.14

6x3.14=18.84  

Step-by-step explanation:

this means that y can be equal to 7.9 or any other number above

Answer: 4:1

Step-by-step explanation: it would start at 8:2 and the lowest terms it can go are 4:1

Answer:

5 : 4

Step-by-step explanation:

1. Find the total number of games

8 + 2 = 10

2. Create a ratio for number games vs. games won

10 : 8

3. Divide both numbers by 2

5 : 4

Answer:

3

Step-by-step explanation:

The amount of water released will be 1.081 grams.

The balanced chemical equation for the reaction between hydrogen gas and oxygen gas to form water is:

2H₂+ O₂ -> 2H₂O

According to the equation, 2 moles of hydrogen gas react with 1 mole of oxygen gas to form 2 moles of water. This means that the mole ratio of oxygen gas to water is 1:2.

If 30.0 moles of oxygen gas are used, we can use this mole ratio to calculate the number of moles of water that will form:

30.0 moles O₂ x (2 moles H2O / 1 mole O₂) = 60.0 moles H₂O

So, 60.0 moles of water will form.

To convert from moles to grams, we need to use the molar mass of water, which is approximately 18.015 g/mol. Therefore:

60.0 moles H₂O x 18.015 g/mol = 1,081 g

So, 1,081 grams of water will form.

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Answer:

x^2 - 2x - 3

Step-by-step explanation:

(x+1) (x-3)

x^2 - 3x + x - 3

x^2 - 2x - 3

Answer: $2203.74

Step-by-step explanation:

THANKS FOR GIVING ME THX

AND HI NICE TO MEET U

I AM GIRL THIS IS MY BROTHER PHONE

Answer:

60%

Step-by-step explanation:

Answer:

7 ft

Step-by-step explanation:

As we know that the formula to find the perimeter of a rectangle is

P = 2 (l) + 2(w). With that being said, we can look at the question.

The answer should be given in terms of feet, so we will have to convert 18 inches to ft. In order to convert from inches to ft, you will have to divide by 12.

18 / 12 = 1.5ft

18 inches = 1.5 foot

Now we take the given values and put them into the formula to find the perimeter of the rectangular field.

2 (l) + 2(w) = 2 (2 ) + 2 (1.5) = 7ft

The perimeter of the rectangular field is 7ft.

Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

Answer: 18

Step-by-step explanation:

3(3)(2)

=(3)(6)

=18

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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Answer:

steps below

Step-by-step explanation:

3 + 6b + 3b² = 3 (b² + 2b + 1) = 3 (b + 1)²

root: -1         if 3 + 6b + 3b² = 0               b = -1