which algebraic expression is a polynomial?

Step-by-step explanation:

We start with the formulas for the volumes of a cylinder and a cone.

Cylinder:

[tex] V_{cylinder} = \pi r^2 h [/tex]

Cone:

[tex] V_{cone} = \dfrac{1}{3} \pi r^2 h [/tex]

Now we calculate the two volumes.

Cylinder:

[tex] V_{cylinder} = \pi r^2 h [/tex]

[tex] V_{cylinder} = \pi \times (10~cm)^2 \times 9~cm [/tex]

[tex] V_{cylinder} = \pi \times 100~cm^2 \times 9~cm [/tex]

[tex] V_{cylinder} = 900 \pi~cm^3 [/tex]

Cone:

[tex] V_{cone} = \dfrac{1}{3} \pi \times (10~cm)^2 \times 9~cm [/tex]

[tex] V_{cone} = \dfrac{1}{3} \pi \times 100~cm^2 \times 9~cm [/tex]

[tex] V_{cone} = 300 \pi~cm^3 [/tex]

The volume of the cylinder is 900pi cm^3, and the volume of the cone is 300pi cm^3.

Now we divide the volume of the cylinder by the volume of the cone.

[tex] \dfrac{900 \pi~cm^3}{300 \pi~cm^3} = 3 [/tex]

Dividing the volume of the cylinder by the volume of the cone gives us 3, showing that the volume of the cylinder is 3 times the volume of the cone.

The volume of a cylinder is three times the volume of a cone.

To show that the volume of a cylinder is three times the volume of a cone, we need to compare their formulas. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Let's calculate the volume of the cylinder first. Given that the radius (r) is 10 cm and the height (h) is 9 cm, we can substitute these values into the formula: V = π(10 cm)²(9 cm) = 900π cm³.

Now let's calculate the volume of the cone. Again, substituting the values for r and h, we have V = (1/3)π(10 cm)²(9 cm) = 300π cm³.

Comparing the volumes, we have 900π cm³ for the cylinder and 300π cm³ for the cone. Dividing the volume of the cylinder by the volume of the cone, we get (900π cm³) / (300π cm³) = 3. This shows that the volume of the cylinder is three times the volume of the cone

Answer:

x=6, y=63

Step-by-step explanation:

since both equal y, they equal each other-

8x+15=x+57

7x=42

x=6

then to solve for y-

y=(6)+57

y=63

The solution to the system of equations y = 8x + 15 and y = x + 57 is found via substitution, yielding x = 6 and y = 63 as the answer.

To solve the system of equations y = 8x + 15 and y = x + 57, we can use the method of substitution or elimination. However, since both equations are already solved for y ,, the most straightforward approach is substitution, implying that 8x + 15 = x + 57. To find the value of x, we subtract x from both sides and subtract 15 from both sides, yielding 7x = 42. Dividing both sides by 7, we find that x = 6. Substituting x = 6 into either of the original equations, for instance, y = 8(6) + 15, gives us y = 63. Therefore, the solution to the system of equations is x = 6 and y = 63.

Step-by-step explanation:

All you have to do is divide 8 into 10 which equals, 0.8 seeds

Answer:

30%

Step-by-step explanation:

70% of the $120 repair bill was for labor, calculated by subtracting the cost of parts from the total bill and then finding the percentage of the remaining labor cost.

The question is asking what percent of a $120 repair bill was for labor if $36 was for parts. Since the total bill is $120, the cost for labor is the total bill minus the cost for parts, which is $120 - $36 = $84 for labor. Now, to find the percentage of the bill that was for labor, you use the formula (part/whole) × 100, which in this case is ($84/$120) × 100 = 70%. Therefore, 70 percent of the bill was for labor.

Answer:

True

Step-by-step explanation:

Ya just yeet it on your paper

Answer:

true

Step-by-step explanation:

odyssey ware

Answer:

0.10822510822

Step-by-step explanation:

use a calculator

Final answer:

To convert liters to milliliters, multiply the number of liters by 1000. Therefore, 627 liters is equal to 627,000 milliliters.

Explanation:

To correctly complete the statement 627 L = ? mL, we need to convert liters to milliliters. Since there are 1000 milliliters (mL) in 1 liter, we multiply the number of liters by 1000 to find the number in milliliters.

Thus, the conversion is:

627 L × 1000 = 627,000 mL

Therefore, the statement 627 L = 627,000 mL is correct.

Answer:

Centimeter is a small measuring unit, usually used to measure small things like the length of a pencil.

Let us check all the options:

1. the length of a paperclip  - yes it can be measured in cm. Like a standard paperclip is 3.5 cm long.

2. the yearly increase in a child's height  - Yes it can be measured in cm.

3. the width of a swimming pool  - No, it can be measured in feet or meters.

4. the distance between Philadelphia and New York City  - No, it can be measured in km or miles.

5. the height of a standard ceiling - No, it can be measured in feet.

Answer:

$92.25

Step-by-step explanation:

Begin with 24 hours times $9.25 an hour.

Get $222.

Subtract $37.50.

Get $184.5.

Divide this by 2.

Get $92.25 as your final answer

Brian will deposit $92.25 into both his savings account and his checking account after calculating his net pay by subtracting payroll taxes from his gross earnings and dividing the remainder by two.

To calculate how much money is deposited into Brian's savings and checking accounts, we need to follow these steps:

Let's do the math:

So, Brian will deposit $92.25 into his savings account and another $92.25 into his checking account.

Answer:

It’s (A) 16

Step-by-step explanation:

It just is

The length of the diagonal x= 5 units( nearest whole number) in the given parallelogram.

" Diagonal is defined as the length between the opposite vertices of the given polygon."

Formula used

Cosine law

[tex]a^{2} =b^{2} +c^{2} -2bc Cos A[/tex]

According to the question,

In the given parallelogram PQRS

In ΔPQS

PQ = 6units

PS = 4 units

QS = x units

∠QPS = 55°

Apply cosine law to get the length of the diagonal we have,

   [tex]x^{2} = 6^{2} +4^{2} -2(6)(4)Cos 55\°[/tex]

⇒ [tex]x^{2} = 36 +16 -48( 0.5736)[/tex]

⇒[tex]x^{2} = 24.4672[/tex]

⇒[tex]x= 4.946[/tex]

⇒ x≈5 ( nearest whole number)

Hence,  the length of the diagonal x= 5 units( nearest whole number) in the given parallelogram.

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4.85×88=$426.80.

1) $426.80 is the answer

A=bh and since the garden is 2 1/2 by 2 and the trench+garden= 3 1/2 by 3 the trench would be 1 by 1. So A=1x1 = 1

Answer:11/2 m sq

Step-by-step explanation:

Area of the garden =L•W

2 1/2•2=

5/2•2= 5 m sq

Area of the garden & trench =L•W

3 1/2•3 =

7/2•3 =

7•3/2=

21/2 m sq

21/2-5 =

21/2-10/2=

21-10/2=

11/2

The area of the trench is 11/2 m sq

Hopefully this helps

Answer:

15^4

Step-by-step explanation:

Answer:

it's either two or three. Sorry for the short answer.

Step-by-step explanation:

To conclude if a parallelogram is a rectangle, we need to check if its opposite sides are congruent and if its angles are right angles.

To determine if a parallelogram is a rectangle, we need to check if its opposite sides are congruent and if its angles are right angles.

In a rectangle, opposite sides are congruent and all angles are right angles (90 degrees).

So, if we can prove that the given parallelogram has congruent opposite sides and right angles, then we can conclude that it is a rectangle.

Alternatively, we can also look for other properties of rectangles such as diagonals being congruent or the presence of perpendicular bisectors.

A conclusion that be drawn based on the parallelogram include the following: C. No; the diagonals may not be congruent.

In Mathematics and Euclidean Geometry, a rectangle is a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.

Generally speaking, the diagonals of a rectangle divide it into two equal parts and this implies that, the two diagonals of any rectangle are congruent.

In this scenario, we can logically deduce that this parallelogram is not a rectangle because its diagonals may not be congruent, as no congruence symbols were shown.

Answer:

[tex]\large\boxed{y=-\dfrac{1}{2}x-2}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\======================[/tex]

[tex]\text{If}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\ \text{are\ parallel, then}\ m_2=-\dfrac{1}{m_1}\\===========================[/tex]

[tex]\text{We have the equation of a line:}\ 3+4x=2y-9.\\\text{Convert it to the slope-intercept form:}\\\\2y-9=3+4x\qquad\text{add 9 to both sides}\\\\2y=12+4x\qquad\text{divide both sides by 2}\\\\y=6+2x\\\\y=2x+6\to m_1=2\\\\\text{therefore}\ m_2=-\dfrac{1}{2}\\\\\text{We have the equation:}\ y=-\dfrac{1}{2}x+b\\\\\text{Put the coordinates of the given point (4, -4) to the equation:}\\\\-4=-\dfrac{1}{2}(4)+b\\\\-4=-2+b\qquad\text{add 2 to both sides}\\\\-2=b\to b=-2\\\\\text{Finally we have the equation:}\ y=-\dfrac{1}{2}x-2[/tex]

The answer is 853.33333-

Answer:

for plato users its 8 [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation

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2nd degree trinomial

280

42 times 100 divided 15 equals 280.

Answer:

B

Step-by-step explanation:

30 ft = 360 in

8 ft = 64 in

360 in - 64 in = 296 in

296 / 8 = 33

It will take approximately 32.84 years for the tree to reach a height of 30 feet.

To determine the number of years it will take for the tree to reach a height of 30 feet, let's break down the growth process step by step.

Initially, the tree is 8 feet tall.

The tree grows 8 inches (0.67 feet) each year.

Let's assume it takes "x" years for the tree to reach a height of 30 feet.

So, the height of the tree after "x" years can be represented by the following equation:

Height after x years = Initial height + (Growth rate * x)

In this case, the initial height is 8 feet, and the growth rate is 0.67 feet (8 inches).

Height after x years = 8 + (0.67 * x)

Now, we need to solve for "x" when the height reaches 30 feet:

30 = 8 + (0.67 * x)

Subtract 8 from both sides of the equation:

22 = 0.67 * x

To isolate "x," divide both sides by 0.67:

x = 22 / 0.67

Now, calculate "x":

x ≈ 32.84 years

So, the Answer: B. 33 years

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Answer: The answer is H

When the quadratic equation is written in standard form the value of c is 8

To find the value of c when the quadratic equation -3/4 x² + 2 = 0 is written in standard form (ax² + bx + c = 0), follow these steps:

Move the constant term to the right side:

-3/4 x² = -2

Multiply both sides by -4/3 to get the standard form:

4x² = 8

Identify the coefficient of x² (a) and the constant term (c):

In this case, a = 4 and c = 8.

Therefore, when the equation is written in standard form, c = 8.

Answer:

It has a negative rate of change.

Step-by-step explanation:

She is losing money so the rate of change is negative

The likelihood is 66.67% or about 67%. Hope this helped!

Answer: B. It is likely to rain on Saturday.

Step-by-step explanation:

Answer:

i think it would be 30

Step-by-step explanation:

Answer:

$1 would buy 1.25lbs of bananas

Step-by-step explanation:

In order to find the amount $1 will buy, we need to create a proportion. One the left side we can use the unit rate. On the right we use the unknown quantity.

6.5lbs/$5.20 = xlbs/$1.00

Now we cross multiply

6.5 * 1.00 = 5.20 * x

6.5 = 5.20x

1.25 = x

Carlos can buy approximately 4.17 bananas with one dollar.

To find out how many bananas one dollar can buy, we need to divide the total cost of the 6 1/2 pounds of bananas by the total cost of the bananas Carlos bought. $5.20 / 6 1/2 = $0.80 per pound. To find the quantity of bananas one dollar can buy, we divide $1.00 by $0.80 per pound. $1.00 / $0.80 = 1.25 pounds. Since there are 2 pounds in 1 kilogram and 0.5 kilograms is equal to 1 pound, we can convert the 1.25 pounds to kilograms. 1.25 pounds * 0.5 kilograms/pound = 0.625 kilograms. Finally, assuming each banana weighs approximately 0.15 kilograms, we can calculate how many bananas one dollar can buy. 0.625 kilograms / 0.15 kilograms/banana = 4.167 bananas.

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Answer:

n=4

Step-by-step explanation:

Attachment has my work.

Answer:

.587

Step-by-step explanation:

Slope is rise over run.

rise/run=37/63=.587

1) 3rd down.

2) 2nd down.

3) 1st down.

4) 6th down.

x = 5

y = -4

4x + y = 16

multiply 2nd equation by 2

4x + 6y = -4

subtract equations

0 -5y = 20

-5y = 20

y = 20 ÷ -5

y = -4

substitute y = -4 to find the value of x

4x + (-4) = 16

4x - 4 = 16

4x = 20

x = 5