a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?​

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Step-by-step explanation:

The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Check the picture below.

Answer:

Uggghhh

Step-by-step explanation:

I dont know

Answer:

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

Step-by-step explanation:

The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

C

Step-by-step explanation:

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

Step-by-step explanation:

0, 3, 8, 15, 24, . . .

it is arithmetic

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

$0.05

Step-by-step explanation:

<3

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

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Answer:

Step-by-step explanation:

Clues to recognize the graph:

-The graph will cross from the first quadrant into the third quadrant.

-The graphs of cubed equations are looking like an S shape.

-The graph must cross at y = 1 because when x is zero y is 1

If x=0 in our equation y= x^3 + x^2 + x + 1 will be y=1

-The graph must have a zero at x= -1 because if we rewrite the equation

y= x^3 + x^2 + x + 1 = (x+1)(x²+1) and here we see that one of the roots or zeros is (x+1) = 0, x= -1

Answer: D. on Edge 2023

Step-by-step explanation:

I took the test

Answer:

2x+19

Step-by-step explanation:

Answer:

\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)

Step-by-step explanation:

We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

↓ plugging in the given values

\(a^2 + 2^2 = 14^2\)

↓ subtracting 2² from both sides

\(a^2 = 14^2 - 2^2\)

\(a^2 = 196 - 4\)

\(a^2 = 192\)

↓ taking the square root of both sides

\(a = \sqrt{192\)

↓ simplifying the square root

\(a = \sqrt{2^6 \cdot 3\)

\(a = 2^{\, 6 / 2} \cdot \sqrt3\)

\(a = 2^3\sqrt3\)

\(a = 8\sqrt3\)

Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.

\(a = \dfrac{1}{2}x\)

↓ plugging in the a-value we solved for

\(8\sqrt3 = \dfrac{1}2x\)

↓ multiplying both sides by 2

\(\boxed{x = 16\sqrt3}\)

Answer: True

Step-by-step explanation:

1) The way both are similar is that they involve subtraction operation.

2) The way they are different is that they produce different answers.

The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.

The expressions are;

-15 - (-6) and 15 - 6

The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another

The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.

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The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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Answer:

Solution given:

base of triangle [b]=10in

height of triangle [h]=12in

length of rectangle [l]=18in

Now

Volume =area of triangle *length=½(10*12)*18

=1080in³

Volume is 1080 cubic inch.

\(\huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}\)

In the given figure :

\( \boxed{ \mathrm{Volume = \dfrac{1}{2} \times 10 \times 12 \times 18}}\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

One example of a problem involving multiplication of fractions that can be made easier using the associative property is as follows:

Given the expression (2/3) * (4/5) * (6/7), we can use the associative property to rearrange the terms and simplify the expression. Specifically, the associative property states that the order in which we perform operations does not change the result. In this case, we can rearrange the terms as follows:

(2/3) * (4/5) * (6/7) = (4/5) * (2/3) * (6/7)

Then, we can simplify the expression using the commutative property of multiplication (which states that the order of the terms does not affect the result of the multiplication):

(4/5) * (2/3) * (6/7) = (2/3) * (4/5) * (6/7)

Finally, we can simplify the expression by multiplying the fractions:(2/3) * (4/5) * (6/7) = (12/21).

Using the associative property allows us to rearrange the terms and simplify the expression, making the problem easier to solve.

Answer:  w= 30

Step-by-step explanation: Divide 10 on both sides which gives you 30 since 300 divide 10=30

Brainliest please

The angles are 28° and 62°.

It should be noted that perpendicular angles equal to 90°.

Therefore, that value of x will be calculated thus:

(x + 5) + (3x - 7) = 90°

4x - 2 = 90°

4x = 90° + 2°

4x = 92°

x = 92/4

x = 23°

(x + 5) = 23° + 5 = 28°

(3x - 7) = 3(23) - 7 = 62°

Therefore, the angles are 28° and 62°.

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The two ways of forming isosceles triangle by bending the metal strip using length by length by base are

A triangle that have the two sides equal is referred to as an isosceles triangle.

Using a strip of 20 inches long to construct an isosceles triangle means that the perimeter of the triangle is 20 inches

the perimeter is equal to base + length + length

bending 6 inches already means one of the dimensions is gotten then fo the other is based on if

if the 6 is base then minus the 6 from 20 and divide the rest for the length

20 - 6 = 14

the two lengths is 14 one length is 7. so we have 6 + 7 + 7 = 20

If the 6 is length then get another 6 and the rest is base

20 - 6 = 14

14 - 6 = 8

therefore we have 6 + 6 +8 = 20 inches

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The total cost of the taxi ride is given by the equation A = $ 19.25

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of taxi ride be represented as A

Now , the equation will be

The initial cost for the pickup = $ 3.50

The cost of the ride per mile = $ 1.75

The cost for riding 9 miles = 9 x cost of the ride per mile

Substituting the values in the equation , we get

The cost for riding 9 miles = 9 x 1.75 = $ 15.75

So , the total cost of taxi ride A = initial cost for the pickup + cost for riding 9 miles

The total cost of taxi ride A = 3.50 + 15.75

The total cost of taxi ride A = $ 19.25

So , if the ride is m miles long , the cost is A = 3.50 + ( 1.75 )m

Hence , the equation is A = $ 19.25

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