Find the volume of the composite solid. Round your answer to the nearest tenth.

A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.

The volume is about
cubic feet.

Answer:

$ 142100

Step-by-step explanation:

Profit is the difference between the revenue and the cost

        P(x) = R(x) - C(x)

                = 820x - x² - (2300 + 60x)

                = 820x - x² - 2300 - 60x

                = -x² + 820x - 60x - 2300

         P(x) = -x² + 760x - 2300

a =  -1   ; b = 760  and c = -2300

       [tex]\sf \boxed{P_{max} = c - \dfrac{b^2}{4a}}[/tex]

                  [tex]\sf = -2300 - \dfrac{760^{2}}{4*(-1)}[/tex]

                  [tex]\sf = -2300 +\dfrac{577600}{4}\\\\ = -2300 + 144400\\= 142100[/tex]

[tex]\sf \boxed{P_{max}= \$ 142100}[/tex]

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

Answer: I'm a fourth grader Here's my answer One degree

I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments

Answer: Skelatal and respiratory because bones show up all over the human body.

Step-by-step explanation:

Answer:

C. Nervous system / Circulatory system

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

Answer:

70 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans

Then square root the answer

Answer: the answer is 15

Answer:

18.7 units

Step-by-step explanation:

Diagonal² = 1² + 1²

                 = 2

[tex]\sf diagonal = \sqrt{2} = 1.41\\[/tex]

Perimeter = 3 + 3 + 9 *1.41

                =  3 + 3 + 12.69

                = 18.7 units

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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Answer:

97%

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

5 - 3x = - 10

Subtract 5 from both sides:

5 - 5 - 3x = -10 - 5

-3x = -15

Divide -3 by both sides:

-3x/-3 = -15/-3

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

I graphed it on desmos:

The length side of equilateral triangle is 8.08 units

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.

Here, let the side of the equilateral triangle be x units

given altitude of the equilateral triangle = 7 units

we know,  

Altitude = √3/2 X side

   7 = √3/2 X x

   x = 7 X 2 / √3

   x = 14/√3

   x = 8.08 units

Thus, the length side of equilateral triangle is 8.08 units.

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Answer:

The first graph.

Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.

Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.

If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.

Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.

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Answer:

$2552

Step-by-step explanation:

First you have to find Justin's monthly salary.  You do this by dividing his annual salary by 12 months.  48000/12 = 4000  This means Justin makes $4000 each month.  Next we have to find what 5% of that is, in order to know how much his retirement plan contribution costs.  To do this you divide 4000 by 100 to know how much 1% of his monthly salary is, and then you multiply that by 5 to know how much 5% of his monthly salary is.  4000/100 = 40  40x5 = 200 .We now know his retirement plan contribution each month costs $200.  Now we need to know how much to subtract from his monthly salary to get his net pay for the month.   We can do this by adding all of his monthly expenses together and then subtracting that total from 4000.  650+248+350+200 = 1448  4000-1448 = 2552  Justin's net pay for the month is $2552  

The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

It is defined as the change in values of a dependent variable with respect to the independent variables.

From the data given in the table, we can find the rate of change per month:

To find the rate of change:

= change in y/ change in x

= (138-84)/(4-2)

= 54/2

= 27 per month

Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

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Answer:

20h + 10 = 15h + 5

Step-by-step explanation:

Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.

The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).

To find the slope m of the perpendicular equation;

y = 3x + 2 --------------(1)

comparing the equation above with the standard equation of a circle

y=mx + c

m=3

The slope of the perpendicular equation;

 = -1

3 = -1

Divide both-side of the equation by 3

= -1/3

so, the slope of our perpendicular equation is -1/3

Then, we go ahead to find our intercept

To find the intercept, we will plug in the points and the new slope into the formula y =mx + c

5 = -(3) + c

5 = -1 +c

Add one to both-side of the equation

5+1 = -1 + c + 1

6 =c

c=6

our intercept c is equal to 6

so we can now proceed to form our equation.

y = - x  +  6

Multiply through by 3

-3y = -x + 18

We can rearrange the equation, hence;

x -3y -18=0

Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

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Answer:

It's a right triangle ..

Step-by-step explanation:

By using Pythagoras theorem , we can know that it's a right angled triangle or not ..

so , H² = P² + B²

=> 34² = 16² + 30²

=> 1,156 = 256 + 900

=> 1,156 = 1,156

Hence , it's a right triangle

The correct value of z in this figure is 190⁰

The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.

– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.

145 + 24 + z = 360⁰

– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.

145 + 24 + z = 360⁰

170 + z = 360⁰

z = 360⁰ - 170

z = 190⁰

So, the value of z, will be 190⁰

Answer:

1256 cubic inches

Step-by-step explanation:

Volume of all 200 candles = volume of one mold × 200

Finding the volume of one mold:

We are given that the molds are in the shapes of cones and have a height of 6 inches as well as a diameter of 2 inches.

The volume of a cone can be calculated using the formula

V = πr²(h/3) where r = radius and h = height

Converting the diameter to radius

The volume of a cone formula requires the radius however we are only given the diameter. However we know that the radius is equal to half of the diameter or radius = diameter / 2

So if diameter = 2 then radius = 2 / 2 = 1 so r = 1

Plugging in the given values into the formula

V = πr²(h/3)

==> plug in r = 1 and h = 6 and π = 3.14 approximately

V = (3.14)1²(6/3)

==> simplify exponent

V = 3.14(1)(6/3)

==> divide 6 by 3

V = 3.14(2)

==> multiply 3.14 by 2

V = 6.28

Finding the volume of the 200 candles.

So we have calculated that the volume of one candle is about 6.28in³ and we want to find the volume of 200 of those candles.

To do so we simply multiply the volume of one of those candles by 200

So volume of 200 candles = 200 × 6.28 = 1256 cubic inches

Answer:

25.9

Step-by-step explanation:

So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height

So diameter/2 = r which is 1.5 in

h = 2 in

V = (3.14)(1.52)(2/3) = 4.71 in3

If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz

2.59 oz * 10 cupcakes = 25.9 oz total

Step-by-step explanation:

the volume of a cone is

pi×r² × h/3

the radius is always half of the diameter, so, it is here

12/2 = 6 in.

h = 10 in.

so, we have here

pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.

2 cupcakes have then

376.8 × 2 = 753.6 in³

1 in³ = 0.55 ounces

so, the weight of 2 such cupcakes is

0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)

Answer:

8.6 × 10-9

Step-by-step explanation:

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer:

39.25

Step-by-step explanation:

Area of circle is pi(3.14) times r^2.

Semi means half

So 3.14 times 5^2 = 78.5

Its a semi ciricle so its 78.5/2 which is 39.25

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!