F.28. 21 and 22 are vertical angles. If mZ1 =(6x + 11) and mZ2 = (10x - 9), find mZ1.mZ1 =

Firsr we have to make sure that all of the enominators are the same , before we can proceed with the addition. We have to convert the fraction so it willl have the same denominator. We will use the greatest denominator, 16.

We can do that by cross multiplication,

Thus,

We, will do the same for 3/8,

Thus,

Now that we have the same denominator, we can proceed with additiion.

In adding fractions , we just have to add the numerator and copy the common denominator.

Answer:

Claim: Most adults would erase all of their personal information online if they could

Sample size: 625

Yes: 50.3%

The null hypothesis, due to randomness, is p = 0.5. From the results, the claim states that p > 0.5, and the result of the survey is p = 0.503.

The result is close to the null hypothesis, so we can conclude that there is no significant evidence for the claim.

Answer:

The results are not significantly high so there is not sufficient evidence to support the claim.

I find the following data for the concept GPA:

Your GPA is calculated in two steps:

The grade awarded for each course is multiplied by the credit value for each course.

The aggregate score is divided by the total number of credits for all courses completed in the defined period of study.

So, the weighted average reflects the relative contribution made by all the courses you have undertaken based on their credit value.

From the above data, the correct option for the answer is d. weighted average.

Given:

it is given that the temperature at 3pm was 65 degrees it dropped 21 degrees by 7 pm.

Solution:

Now, the temperature at 7 pm will be

So, temperature at 7 pm is 44 degree.

By definition, an equation has no solution when does not exist a value of the variable that makes the equation true.

• In this case, you have this expression on the left side of the first equation:

Then, knowing part of the right side, you can set up the following:

Notice that you need to write a value different from 6, in order to make the equation false, In this case, you cannot complete the missing value with 2, because;

Then, having that equation. you can solve it as follows:

• Given the second equation that has this left side:

The missing value must be:

SOLUTION

Using the order of operations we have

where

Note: Multiplication and Division operate at the same level but we consider the operation that appears first from the left hand sides of the equation given the same as Addition and subtraction.

Given the equation.

Expand the parenthesis

Add the like terms

Add 18 to both sides of the equation

Divide both sides by 4

Therefore

x= -3/2

Solution:

Given that;

Laura is playing a game of chance in which she tosses a dart into a rotating dart board with 8 equal-size slices numbered 1 through 8

a) For the expected value;

If Laura tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5 and loses she loses $9 if the dart lands in slices 6, 7, or 8

The expected value will be

Hence, the expected value is $0

b) If Laura plays many games, she is expected to neither gain nor lose money.

This is because she has 5 out of 8 chances to win some money and the expected value is $0t

Hence, Laura can expect to break even (neither gain nor lose money)

• Slightly shifted up

• Horizontally translated to the left 6 units

1) Consider this:

This is the parent function from the familiar of rational functions.

2) Note that on the other hand, the function below:

This is a transformed function from the first one. Take a look at the graph with both functions plotted:

In Rational functions the greater the numerator the farther from the origin is, shifting up the graph and the addition of 6 in the bottom number translates horizontally to the left.

3) Thus, we can state the answer as:

The graph of y=5/(x+6) is:

• Slightly shifted up

• Horizontally translated to the left 6 units

Explanation:

The general quadratic equation is given below as

The equation given in the question is given below as

By reaaranging the equation into the standard form, we will have

Hence,

The value of c is

We start with the parent function:

The transformations are:

• Shift up 6 units

• Reflect about the x-axis

• Reflect about the y-axis

The first transformation is equal to add 6 units to y:

Then, a reflection across the x-axis makes y change sign, so we will have:

Finally, a reflection across the y-axis makes the argument x change sign, so we will have:

This is the final function.

We can graph this function, and the intermediate steps, as:

Answer: y = -√-x - 6

The rule of the volume of the solid shaped a rectangular solid is

L is the length

W is the width

H is the height

Since the dimensions of the room are

10 m long

5.6 m wide

155 m high

Then

L = 10

W = 5.6

H = 155

Substitute them in the rule above

The volume of the room is 8680 cubic meters

The rule of the mass is

m is the mass

d is the density

V is the volume

Since the density is 1.506 kg/m^3

Then d = 1.506

Since the volume is 8680 m^3

Then

The mass of the smoke inside the room is 13072.08 kg

11. Given the two points (x1, y1) & (x2, y2) we will have the following line and we derivate it:

It's derivative is:

This is since the derivative of constants is 0 and the only variable accompanied m. This is proof that the derivative of a function can be interpreted as the slope of the function at that point.

13. If we have that the line is parallel to the x-axis and passes through the point (x1, y1), we will have that the line is a constant function, so when we derivate no matter the point, it will be equal to 0.

That is:

***Explanation:

point 11:

Since we are given two points (x1, y1) & (x2, y2), we will always have that the slope of the line that passes through those points will always have the form:

The condition is:

Then we know that they are overlapping events so is option (D)

The rectangle is:

To find the area of this rectangle, we need to find the distances of the two different sides of the rectangle. We know that the area of a rectangle is given by:

Then, we need to find the distance between two points for the width, that is, it could be the distance between points C and D (segment CD) or segment AB.

To find the length, we need to find the distance of the segment AD or the distance of the segment BC.

After finding them, we need to multiply the result for w and l, and this product will be the area of the rectangle.

We need to apply the formula for the distance between two points:

A(-1, 4) ---> x1 = -1, y1 = 4

B(3, 3) ---> x2 = 3, y2 = 3

Then, we have:

Therefore, this distance, which is w, is equal to:

We can apply the same procedure to find l. We have that:

B(3,3) ---> x1 = 3, y1 = 3

C(1, -5) ---> x2 = 1, y2 = -5

Then, this distance, which is also l is:

The area is given by the product of w and l. Then, we have:

We know that the factors of 68 are:

Then, we can rewrite the area as follows:

And, finally, we have:

In summary, the area of the rectangle ABCD is equal to 34 square units (last option).

2x2 matrix's inverse:

For the given matrix:

To convert exponential to radical expression and vice versa, we follow the pattern below:

In the given term in the question, a = 5, b = x, n = 9, and x = 1. Let's plug these values into the radical form shown above.

The radical form of the given term is:

Answer:

Even

Step-by-step explanation:

A function is called even if, for all values of x, f(-x) = f(x).

A function is called odd if, for all values of x, f(-x) = -f(x).

If none of these equalities is satisfied, the function is neither even nor odd.

In this question:

g(x) = 4x² + 3

g(-x) = 4(-x)² + 3 = 4x² + 3

Since g(-x) = g(x), the function g is even.

When there is - sign multiplying the absolute value, accompanied by any constant, the graph is reflected over the x-axis. You can confirm this by putting some points in the cartesian plane and plotting them. Therefore, the correct answer is x-axis

Solution

For this case we can use the following definition:

And from the figure given we have:

And replacing we got:

3 |y + 4| > 12

| y + 4 | > 12/3 = 4

| y + 4 | > 4

Two solutions:

y + 4 > 4 ==> y > 0

y + 4 < -4 ==> y < -8

Answer:

8

Step-by-step explanation:

A=length*width

60=5*(x+4)

60=5x+20

40=5x subtract 20 from both sides

8=x divide by 5 on both sides

x=8

The midpoint (a, b) = (1, -1)

One endpoint, (x₁, y₁) = (3, 8)

The other endpoint, (x₂, y₂) = ?

Using the formula for midpoint and solving for the missing parameters

The coordinates of the other endpoint = (-1, -10)

Given that P is the incenter of the triangle, then angles EAD and DAC are congruent. Therefore, the measure of angle DAC is 33°

Given the expression:

We will use the following rules to modify the given expression:

So, the answer will be as follows:

So, the answer will be option ⇒ B. a³b

For this problem, we are given a certain equation and we need to solve it for x.

The expression:

We need to apply a logarithm to both sides:

We can now use the properties of the logarithm to isolate the x variable.

The correct answer is C. x = 2.49

We can see that for x = 0 that implies y = 10.

We can also see that for each x , y decreases 2 units, so the rate of change is -2.

The relation between x and y is a linear function:

y = 10 - 2x

Let's see if it is right.

For x = 0, we get

y = 10 - 2 . 0

y = 10

Ok!

For x = 1

y = 10 - 2 . 1

y = 10 - 2

y = 8

Ok!

For x = 2

y = 10 - 2 . 2

y = 6

Ok!

For x = 15

y = 10 - 2 . 15

y = 10 - 30

y = -20

Answer: start value: 0 ;

rate of change: -2,

relation between x and y: y = 10 -2x

Given

Graph of triangles

Procedure

CDE to FGH

Answer NO

SIDES NOT PROPORTIONAL

x = 2 or x = -2

8) 2x² + 14 = 22

collect like terms by subtracting14 from both sides of the equation:

2x² + 14 - 14 = 22 - 14

2x² + 0 = 8

2x² = 8

DIvide both sides by 2:

2x²/2 = 8/2

x² = 4

Square root both sides of the equation:

The decay of a radioactive substance is given by

A = 200(1/2) t/10.

The equivalent equation for the decay that shows the approximate amount of decay in 4 years

Hence the correct option that approximately amounts to decay in 4years is

Option C is the correct answer cause it matches the red image