Write a quadratic function for the area of the figure. Then, find the area for the given value of x.
x=7
A quadratic function for the area of the figure is A(x)= (Simplify your answer.).

Answer:

The answer is 37.6 degrees

Step-by-step explanation:

Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.

90-52.4= 37.6 degrees

37.6 degrees is your answer  

Hope this helps

Answer:

y=x+2

Step-by-step explanation:

Log x+y = logbx − logbyGiven log630 ≈ 1.898 and log62 ≈ 0.387, log615 ≈ 2.086.

Given log 630 ≈ 1.898 and log 62 ≈ 0.387,

We have log 630 = log (6 * 62 * 10) = log 6 + log 62 + log 10 = 1 + 0.387 + 1 = 2.387

And log 615 = log (6 * 62 * 5) = log 6 + log 62 + log 5 = 1 + 0.387 + 0.699 = 2.086

So, log 615 ≈ 2.086

In the example given, log 630 ≈ 1.898 and log 62 ≈ 0.387. These logarithmic values are used to simplify other logarithmic expressions and, the logarithm of 615 was found to be approximately 2.086.

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Answer:

5

Step-by-step explanation:

The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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Answer:

16 inches, because if the area is 192 inches and the width is 12 inches, to find the length you have to do 192 divided by 12, which is 16.

The point of intersection of the parabola y = x² + 2 and the line passing through the points (-2, 6) and (2, 6) are (-2, 6) and (2, 6).

How: To find the point of intersection of the parabola y = x² + 2 and the line passing through the points (-2, 6) and (2, 6), we need to set the y-values of the parabola and the line equal to each other, since the point of intersection must lie on both the parabola and the line.

Let's first find the equation of the line passing through the points (-2, 6) and (2, 6). Since the two points have the same y-coordinate, the line must be a horizontal line passing through y = 6. Therefore, the equation of the line is: y = 6

Now we can substitute y = 6 into the equation of the parabola and solve for x: 6 = x² + 2

Subtracting 2 from both sides, we get: 4 = x²

Taking the square root of both sides, we get: x = ±2

So the points of intersection are (-2, 6) and (2, 6).

All the correct options that apply to the given dot plot are;

A dot plot is a simple plot that displays data values as dots above a number line.

5 students spent 2 hours on homework.

Dot plots show the distribution of the data.

A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set and also shows the distribution of the data.

From the given dot plot, we can interpret the following parameters;

Number of students that spent 1 hour on homework = 1 person

Number of students that spent 2 hours on homework = 5 persons

Number of students that spent 3 hours on homework = 6 persons

Number of students that spent 4 hours on homework = 4 persons

Number of students that spent 5 hours on homework = 1 person

Number of students that spent 6 hours on homework = 1 person

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Answer:

bro i got a B+ in math tooo!!!!!!!!

Step-by-step explanation:

yeah tell them!

Answer:

It's a low A and your working on bringing it up

Step-by-step explanation:

(a) The antiderivative of ∫x√\((1-x^2)\) dx using substitution is \(-2(1 - x^2)^{(1/2)} + C.\) (b) The antiderivative of ∫ln(x) dx using integration by parts is xln(x) - x + C.

(a) To find the antiderivative of \(\int\limits {x\sqrt{1-x^{2} } } \, dx\) using substitution, let's make the substitution \(u = 1 - x^2\). Then, we can find du/dx and solve for dx.

\(u = 1 - x^2\)

du/dx = -2x

dx = -du/(2x)

Now, substitute these expressions into the integral:

\(\int\limits {x\sqrt{1-x^{2} } } \, dx\) = ∫-x√(u) du/(2x)

= ∫-√(u)/2 du

Since x appears in both the numerator and denominator, we can simplify the expression:

∫-√(u)/2 du = -1/2 ∫√(u) du

To integrate √(u), we can use the power rule for integration:

∫\(u^n\) du = \((u^{(n+1)})/(n+1) + C\)

Applying this rule to our integral:

∫-√(u)/2 du \(= -1/2 * (u^{(1/2)})/(1/2) + C\)

\(= -2(u^{(1/2)}) + C\)

Now, substitute back \(u = 1 - x^2:\)

\(-2(u^{(1/2)}) + C = -2(1 - x^2)^{(1/2)} + C\)

(b) To find the antiderivative of ∫ln(x) dx using integration by parts, we need to choose u and dv to apply the integration by parts formula:

∫u dv = uv - ∫v du

Let's choose u = ln(x) and dv = dx. Then, du = (1/x) dx and v = x.

Applying the integration by parts formula:

∫ln(x) dx = uv - ∫v du

= ln(x) * x - ∫x * (1/x) dx

= xln(x) - ∫dx

= xln(x) - x + C

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Answer:

Step-by-step explanation:

20 oz walnuts = 20/25 = 0.8 ounces of walnuts per bag. / bag

11.2 oz of almonds = 11.2 / 25 = 0.448 ounces of almonds / bag

28.3 oz of cashews = 28.3 / 25 = 1.132 oz of cashews / bag

The statement that correctly describes the correlation between x and y is: B. weak positive association

Positive correlation indicates that the two stocks tend to move in tandem, meaning that when one moves up, the other will typically move up as well. Positive correlation is measured on a 0.1 to 1.0 scale.

Negative correlation indicates the stocks tend to move in the opposite direction of their mean. For example, when one stock is up, the other tends to be down. Negative correlation is measured from -0.1 to -1.0.

In this case, we are told that the correlation coefficient is to be 0.3. From the definitions above, it is clear that this a Weak positive correlation

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Answer:

just find it then multiply it by 0.50 because 0.50 is 1/2 converted to a decimal and thats the scale factor

Step-by-step explanation:

toLet the number of trout = x

And the number of bass = y

gaming laws allow you to catch no more than 15 trout per day, no more than 10 basses per day.

So,

And no more than 20 total fish per day

So,

We will check if you can catch 11 trout and 9 bass

So, x = 11 and y = 9

So, 11 < 15

and 9 < 10

And (11+9) = 20

so, the answer of the question will be Yes

Because 11 trout and 9 basses are achieving the previous inequalitues.

Answer:

Rift =37.92 pounds

Terraza=2.08 pounds

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...

  13.50t +10.20(40 -t) = 10.37(40)

  3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408

  t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza

Then the quantity of Rift Valley blend required is ...

  40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley

We can use this information to answer different questions, such as the probability that the total amount of impurity in 50 batches is below a certain value, or the probability that the average amount of impurity in the 50 batches is within a certain range.

The distribution of the amount of impurity in a batch of the chemical product follows a normal distribution with mean 4.0 g and standard deviation 1.5 g.

If 50 batches are independently prepared, the total amount of impurity in all 50 batches will also follow a normal distribution with mean 50*4.0 g = 200 g (the sum of the means of each batch) and standard deviation sqrt(50)*1.5 g = 3.74 g (the square root of the sum of the variances of each batch).

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Answer: If you add the same number to both sides of an inequality, the inequality remains true. If you subtract the same number from both sides of the inequality, the inequality remains true. If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.

Answer:

C. x < - 1

Step-by-step explanation:

1. Subtract 6 from both sides.

\(x < 5 - 6\)

2. Simplify 5 - 6 to -1.

\(x < - 1\)

Therefor, the answer is, x < -1.

Answer:

4

Step-by-step explanation:

coefficient- a numerical or constant quantity placed before and multiplying the variable

based on info above 4 is the answer

The approximate percent increase in consumption from 1986 to 1997 is:

B. 20%

The initial consumption level for the year, 1986 is 62 million barrels per day and by 1997, the percent increase in consumption shot up to 74 million barrels per day.

When we subtract the latter consumption levels from the former, we will have a total of 12 million barrels per day. So, the percentage increase will be:

12 million barrels per day/ 62 million barrels per day × 100

= 19.35 %

Thus, we can arrive at the conclusion that the total consumption levels per day increased by 19.35%, which is approximately 20%.

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Step-by-step explanation:

8 × (1/2) = ...

= (8 × 1)/2

= 8/2 = 4

The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a large company, 45% of the employees wear khaki pants on a daily basis.

40% of employees wearing khaki pants in a random sample of 50 employees

So, 40% of 45% x 50

= \(0.40 \times 0.45 \times 50 \\ \\9\)

The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.

= 9 /50

= 0.18

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Answer:

Question 1:

1. - 4

2. 4

3. - 15

4. 15

Question 2:

1. - 6

2. 6

3. - 6

Hope this helps :)

The mean is 25.33, median of the given data is 26 and  the given data has two modes 25 and 26 both.

The given set of numbers represent the scores of 30 psychiatric inpatients on a widely used measure of depression are: 41 21 25 27 31 27 32 34 42 25 21 25 28 34 39 25 33 30 29 28 26 20 20 26 21 23 20 26 28 27

For the given set of data, the mean, median, and mode are:Mean:Mean is the average of the numbers. It is calculated by adding all the numbers and then dividing the sum by the total number of numbers.

The mean of the given data is as follows:

Mean = Sum of all the numbers/ Total number of numbers

Mean = (41+21+25+27+31+27+32+34+42+25+21+25+28+34+39+25+33+30+29+28+26+20+20+26+21+23+20+26+28+27)/30Mean = 760/30

Mean = 25.33

Median:Median is the middle value of the data set. It is the value which divides the data into two equal halves. To find the median, we arrange the numbers in order from smallest to largest and then find the middle number.For the given data, the median is as follows:

Arrange the data in order: 20 20 20 21 21 21 23 25 25 25 26 26 26 27 27 28 28 29 30 31 32 33 34 34 39 41 42

The median of the given data is 26.

Mode:Mode is the number which occurs most frequently in the data. For the given data, 25 and 26 both appear three times. Therefore, the given data has two modes.

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Answer:

-5

Step-by-step explanation:

6 - 5 = 1

so 6 + -5 is also equal to 1

Answer:

   q = -5

Step-by-step explanation:

Step  1  :  Simplify:  6/q

Step  2  :

Rewriting the whole as an Equivalent Fraction

Equation at the end of step  2  :

 (6 - q)    

 ——————— -  2  = 0  

    q      

Step  3  :

Rewriting the whole as an Equivalent Fraction

Step  4  :

Pulling out like terms

Answer:    q = -5

Hope this helps.

The tangent of the angle in a right triangle is:

Tangent = Sine / Cosine

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. The cosine of the same angle is equal to the length of the side adjacent to the angle divided by the length of the hypotenuse.

To find the tangent of the angle, you can use the formula:

Tangent = Opposite / Adjacent

Since the opposite side is the side opposite the angle and the adjacent side is the side adjacent to the angle, the tangent of the angle can be calculated by dividing the sine of the angle by the cosine of the angle.

Therefore, the tangent of the angle in a right triangle is:

Tangent = Sine / Cosine

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Answer:

10(6)

Step-by-step explanation:

Hope it's right.....

The estimated value of a motorcycle that is 5 years old is $4750.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the value of the motorcycle after x years.

The value is given by:

y = -750x + 8500

After 5 years (x = 5):

y = -750(5) + 8500 = 4750

The estimated value of a motorcycle that is 5 years old is $4750.

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Total Surface area of the inner cube = 6 * 2 = 12 m²

Take a vertical cross-section through the center of the arrangement as shown in the following figure —

The surface area of the outer cube is 24 m²

Therefore, each face of this cube equals  4 m²

=> Each edge of the larger cube is two meters

The inner sphere's diameter is 2 meters since it meets the surface of the outer cube.

Thus, the sphere's radius (Viz OR) is equal to 1 m.

Taking into account Right Triangle OQR, QR  = √ [ 1² + 1² ] = √2 m

=> The smaller cube's face area is equal to 2 m².

The inner cube's total surface area is equal to 6 * 2 = 12 m²

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The full question:

A sphere is inscribed in a cube that has a surface area of 24 m2. A second cube is then inscribed within the sphere. What is the surface area of the inner cube?