label the hypotenuse, the opposite side, and the adjacent side according to angle T

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Answer:

x = C - By over A

Step-by-step explanation:

To solve for x, we need to isolate the variable.

Ax + By = C

Focusing on the left side of the equation (this is to isolate x), we can see that By is the farthest from x, and that it's adding. So we subtract from both sides. The -By would cancel out +By, which would leave us with.

Ax = C - By

Here we see that A is multiplying x, opposite of multiplication is division, so we divide both sides by A, which would give us:

x = C - By over A

Because by multiplying by 8/3, you're multiplying by 1/3, 8 times. (8*1/3=8/3)

The inverse statement is false.

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Answer:

7/1

Step-by-step explanation:

Slope(m) =y2-y1 /x2-x1

= - 4-3/(-7)+6

= - 7/(-1)

= 7/1

Answer:

your is.... 2212

Step-by-step explanation:

7 days in a week, right?

7 * 4 = 28

75 x 28 + the additional 112

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

Step-by-step explanation:

\(2 + t = - 4\)

Move constant to R.H.S and change its sign

\(t = - 4 - 2\)

Calculate

\(t = - 6\)

Hope this helps..

Best regards!!

Answer:

Step-by-step explanation:

\(2 + t = -4 \\Collect -like-terms\\t = -4-2\\t=-6\)

The total number of grams of baking soda in all 4 samples is given as follows:

B. 16 grams.

The total number of grams of baking soda in all 4 samples is obtained as the sum of the amounts for each sample.

The dot plot shows the number of samples with each amount, hence:

Hence the total amount is given as follows:

2.5 + 3.5 + 2 x 5 = 16 grams.

The problem is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

4/mx

Answer:

(aa)•(aaa)

Step-by-step explanation:

(aa)•(aaa) is the answer

Step-by-step explanation:

try this solution, note, the answers are underlined with green colour.

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The equation of the product of 7 and n is more than 2 is 7n > 2.

A connection between two expressions or values that are not equal to one another is referred to as "inequality" in mathematics.

To find an equation,

expression is the product of 7 and n is more than 2.

The product of 7 and n is

7 x n = 7n

We use the symbol '>' for more than.

That means,

7n > 2.

To solve the inequality:

You may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more.

You must flip the inequality sign if you multiply or divide either side by a negative number.

Therefore, 7n > 2 is the required equation.

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The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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Answer:

Step-by-step explanation:

11

Work Shown:

\(C = \text{circumference} = \text{perimeter of the circle}\\\\C = 2*\pi*r\\\\C \approx 2*3.14*2\\\\C \approx 12.56\\\\\)

Note: If you were given the diameter, then divide by 2 to find the radius, so you can use it in the formula above. Or you could use this formula \(C = \pi*d\)

Answer:

36km hr

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.375

Answer:

y = 1/4x - 8

Step-by-step explanation:

So we do not have the capabilities of graphing but I will help you find the equation.

Slope intercept form: y = mx + b

b = y intercept

m = slope

Put your equation together.

y = 1/4x - 8

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

Area = (30°/360°) x π x (6 cm)2 = 3π cm2

You probably want the unsigned area, which means you don't compute the integral

\(\displaystyle\int_0^{2\pi}\sin x\,\mathrm dx\)

but rather, the integral of the absolute value,

\(\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx\)

\(\sin x\) is positive when \(0<x<\pi\) and negative when \(\pi<x<2\pi\), so

\(\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=\int_0^\pi\sin x\,\mathrm dx-\int_\pi^{2\pi}\sin x\,\mathrm dx\)

\(\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=(-\cos x)\bigg|_0^\pi-(-\cos x)\bigg|_\pi^{2\pi}\)

\(\displaystyle\int_0^{2\pi}|\sin x|\,\mathrm dx=\boxed{4}\)

Answer: D

Step-by-step explanation:

 2x + (2x +4 ) =40

x= 9

2(9) +4 =22

Answer:

-10

Step-by-step explanation: