The engine of a car has a displacement of 409 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.The displacement is ? cubic feet.

Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

We have to calculate the average temperature change per hour.

We know that the temperature drops from 48 degrees to -12 degrees in 24 hours.

To calculate the average change, in degrees per hour, we calculate the ratio between the variation of the temperature and the interval of time.

We can expres this as:

Answer: The average change in temperature is -2.5 degrees per hour.

Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation:

Answer:

It is 1.6 or 8/5

Step-by-step explanation:

Hope this helps

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

y = x ÷ x

Step-by-step explanation:

x = 13

y = 13 ÷ 13

y = 1

so y = x ÷ x

Answer:

X=8

Step-by-step explanation:

8+16=24

and 3(8)=24

Answer:

The mean for the first one is 65.83

the median is 65.5

the mode is 66

Step-by-step explanation:

to find the mean you add all your numbers together then divide by how many you have. So all the numbers added together then divided by 12.

The median is the middle number of your list. I would reccomend you to list out your numbers from least to greatest, then cross out the outer number until you get the middle number. in your case it is an even number so it is 65.5.

The mode, basically asking out of your numbers listed which has the most numbers. "sounds like most".

Answer:

  6√6

Step-by-step explanation:

The product of roots is the root of the product. Here, each root can be simplified by factoring out perfect squares.

__

  \(\sqrt{12}\times\sqrt{18}=\sqrt{2^2\cdot3}\times\sqrt{3^2\cdot2}=2\sqrt{3}\times3\sqrt{2}\\\\=(2\cdot3)\sqrt{3\cdot2}=\boxed{6\sqrt{6}}\)

Answer:

D

Step-by-step explanation:

answer above

The cost of 9 smoothies at the rate is $87.75.

Rate demonstrates how many times one number can fit into another number. It contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point to another data point

In this case, three smoothies cost $9.75. The cost of 9 smoothies will be:

= $9.75 × 9

= $87.75

The cost is $87.75.

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Answer:

you can make 12 cans of them

Answer:

x ≈ 15.49 or -3.49

Step-by-step explanation:

x² - 12x + 36 = 90

x² - 12x - 54 = 0

Quadratic formula:

( -b ± √b² - 4ac ) / 2a

=

( 12 ± √144 + 216 ) / 2

= (12 ± 18.97) / 2

(12 + 18.97) / 2 = 30.97 /2 ≈ 15.49

(12 - 18.97) / 2 = -6.97 / 2 ≈ -3.49

The data given is an example of a B. Quadratic regression.

The r-squared ( r ²) value is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.

The r² values are highest for the quadratic model (r ² = 0. 997), meaning this model explains the most variance in your data compared to the linear (r² = 0. 808) and exponential models (r ² = 0. 813). Thus, the data are best modeled with a quadratic regression.

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Answer:

80 and 96

Step-by-step explanation:

80 and 96

Answer:

80 and 96 your counting by 7 and 8 and going up 2 if that makes sense

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

5 1/10

Step-by-step explanation:

let me know if you need an explanation

Answer:

12.57

Step-by-step explanation:

2 π r d= 2 r

Solving for C

C= d = π 4 ≈12.56637

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x = 5/7,−3,3

Step-by-step explanation:

Answer:

(-1, -3)

Step-by-step explanation:

The solution of the graph is the coordinate of the point where the two lines intercept each other on the graph.

Thus, the two lines intercept at when x = -1, y = -3.

The solution to the system of equations represented on the graph would be (-1, -3)

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

the answer is 39

Step-by-step explanation:

hope that helps

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

2a2 + (-1×2-a) +36

= (2×5×2) + (-1×2-5) + 36

= 20 + (-7) + 36

= 56 + (-7)

= 56 - 7

= 49

Hope it helps you,

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Answer:

$660.

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= $660

• Why did we multiply by 1-0.9?

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

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A different example would be the following:

What was the original price of a product bought for $48 if it has a 60% discount?

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

$120 was the original price.

The total perimeter of the given composite figure is; 74.55 meters

The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.

To find Perimeter of rectangle :

Length of the rectangle = 18 m

Width of the rectangle = 15 m

Perimeter = (2 × Length) + Width

Perimeter = (2 × 18) + 15

Perimeter = 36 + 15

Perimeter = 51 meters

To find perimeter of semi-circle :

Radius of semi-circle = 15/2 = 7.5 m

Perimeter of semi-circle = π × radius

Perimeter = 3.14 × 7.5

Perimeter = 23.55 meter

So, Total Perimeter of the figure = 51 + 23.55

= 74.55 meter

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Answer:

y = -7/8x - 97/8

or 8y + 7x = -97

Step-by-step explanation:

7x + 8y = 18

=> 8y = -7x + 18

y = -7/8 + 18/8

If two lines are parallel, their slopes are equal. So slope is -7/8

given m = -7/8, y = -13, x = 1

y = mx + b

-13 = -7/8(1) + b

-13 = -7/8 + b

b = -13 + 7/8 = -104/8 + 7/8 = -97/8

so y = -7/8x - 97/8

=> 8y = -7x - 97

8y + 7x = -97

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

23

Step-by-step explanation: