1. Find the value of x.

2. Find the value of t.

The transformations performed on the function f(x) to create g(x) include : a vertical stretch with a scale factor of 3 and a translation of 5 units to the left.

We are given a function f(x). The function f(x) is defined as x². We also have another function, g(x). The function g(x) is defined as g(x) = 3(x + 5)² - 2. The function g(x) is formed by performing several transformations on the function f(x). The first transformation is translating the function to the left by 5 units. The next transformation is stretching the function vertically by a scale factor of 3. The last transformation is translating the function downward by 2 units.

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Since the value of the coin collection rises proportionally every year, this functions exponentially.

The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras. f(x) = bx, where b > 0 and b 1, is the formula for an exponential function. B is referred to as the base and x is referred to as the exponent, just like in any exponential expression. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by two folds per hour. The exponent is the independent variable, or x-value, in an exponential function, while the base is a fixed value. An exponential function would be, for instance, y = 2x. Here is what that appears to be.

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Given:

SR = 26 m.

To find:

The area of shaded region.

Solution:

Here, QR ~ PS. So, angle PTS = angle QTR.

So, angle PTS = 73 degrees.

To find the area of the shaded region, we have to subtract the area of unshaded region from the area of the circle.

Here, SR is the diameter and SR = 26. So, the radius of the circle is 13 m.

Since, the unshaded regions are similar to each other. So, the total area of the unshaded region is:

The area of the circle is:

So, the area of shaded region is:

Thus, the area of the shaded region is 315.73 m^2.

First, we transform the mixed fractions into improper fractions:

Then, we multiply the improper fractions:

Finally, we transform the improper fraction into a mixed fraction:

Answer:

We can see that we have the following equation:

And we can see that this is a linear equation in standard form:

And we need to graph the linear equation. To achieve that, we can proceed as follows:

1. We can find the intercepts of the linear function, and then we will have two points we can use to graph the line equation. We can find another point to graph it easier.

2. To find the x-intercept (the point where the line passes through the x-axis, and when y = 0) is as follows:

Therefore, the x-intercept is (-11, 0).

3. To find the y-intercept (the point where the line passes through the y-axis, and when x = 0) is as follows:

Therefore, the y-intercept is 5.5 (0, 5.5).

4. Since we have a decimal, and to be more precise, we can find another point. To do that, we can try with x = 5:

Then we have another pair to graph the function: (5, 8).

5. We can find another point, using x = -5. Then we have:

Therefore, another point is (-5, 3)

5. Now, with these values, we can sketch the graph of the line as follows (we will use (-5, 3) and (5, 8), and we will see that the line passes through the point (0, 5.5):

• (-11, 0),, (-5, 3),, (0, 5.5), ,(5, 8)

Therefore, we can see the points: (-5, 3), (0, 5.5), and (5, 8) are three points that solve the equation -x + 2y = 11, since they lie on that line:

Therefore, in summary, we graphed the linear function as follows, and we found that the three points on the graph solve the equation -x + 2y = 11, that is, (-5, 3), (0, 5.5), and (5, 8):

Answer:

32, 24, 15

Step-by-step explanation:

A coefficient is a number that comes before a variable, so therefor 32 24 and 15 are the coefficients.

Since B is the midpoint of AC, we can conclude:

The question involves comparing the measure of two angles different circles

For the first circle

The angle turn through 1/4 of a circle, which means that the circle turns through 90 degrees

For the second circle that is 10 inches across

The angle also turned through 1/4 of the circle. This also implies that the circle turns through 90 degrees

Thus,

The angle turned by the two circles is the same. Hence, Mark is not correct

The linear equation to represent the total cost of the towing service is;

C = 150 + 5x.

For the given question,

The fixed cost of towing service = $150.

The variable cost per mile = $5.

Let the number of miles be 'x'.

The total cost be 'C'.

Thus, the equation becomes;

C = 150 + 5x.

C = 5x + 150 (linear equation to represent the total cost of the towing service)

Find the slope and  y-intercept of the linear equation;

Comparing the equation with the slope intercept form of line;

y = mx + c

slope m = 5

y-intercept c = 150.

Thus, the  linear equation to represent the total cost of the towing service is; C = 150 + 5x.

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To find the derivative of the given function, we can use the power rule.

In this rule, we multiply the exponent of the variable by its numerical coefficient and then subtract 1 from the exponent.

For this function y = 3x + 29, we have two terms. These are 3x and 29. We need to apply the power rule for each term.

Let's start with 3x.

The first derivative for 3x is 3.

For the term 29, since there is no variable, the derivative for 29 is 0.

So, the first derivative of y = 3x + 29 is y' = 3 + 0 or just y' = 3.

Answer:

m = 98

Step-by-step explanation:

9m/9 - 3 = 95

9m/9 = 95 + 3

9m/9 = 98

cross-multiply

9m = 98 × 9

9m = 882

Divide both sides by 9

m = 98

ANSWER:

2.2%

STEP-BY-STEP EXPLANATION:

The probability would be the quotient between the number of people with these characteristics (female, brown hair) and the total number of people

We know how many miles she runs in 60 mins, we can make a rule of three to find the miles in 24 mins

So if she runs 7 miles in 60 mins

how many x miles in 24mins

x = (24mins*7miles)/60mins = (24*7miles)/60 = 2.8 miles

So, Donna runs 2.8 miles in 24mins.

Given:

Area of the circle

Required:

To find the diameter of the circle.

Explanation:

The area of the circle is given by the formula:

Where r = radius of the circle

Put the given value of A.

Take the square root on both sides.

Now the diameter D= 2r

Final answer:

The diameter of the circle D= 7.482 in,

We will answer the question given in the picture.

We can see from the question a part of a linear function, and we can see an open circle at the point (4, -2). We can also see that the arrow of the linear function indicates that the function continues infinitely.

To find the domain and the range of the function we need to remember that:

• The domain of a function is, roughly speaking, all of the values for which the function is defined. In general, is represented by all of the values of x for which this function is defined.

• The range of a function is, roughly speaking, all the values that the variable y, the dependent variable, takes for each of the values of the independent variable, x.

Therefore, if we check the graph, we have:

1. The values for x are not defined for x = 4 (we can see a small open circle at the point (4, -2). However, the values for x continue infinitely after that. Therefore, the domain of the part shown is as follows:

And we can say that the domain of the function is for all of the values greater (not equal to x = 4) to positive infinity. We can write this in interval notation as follows:

We can check from the graph that the values for y start from y = -2. However, y = -2 is not included since we have a small open circle that indicates that (see above).

Therefore, the range of the function is given by:

And we can say that the values of the range are less than y = -2 (not equal), and they are all smaller than y = -2 (for instance, -3, -4, -5.001, -10.222, and so on). The latter values are less than y = -2. We can write this in interval notation as follows:

Therefore, in summary, we can say that:

1. The inequality to represent the domain of the part shown is x > 4. It means that the domain is those values of the independent variable greater than x = 4 (not equal to 4), and these values extend to positive infinity.

2. The inequality to represent the range of the part shown is y < -2. It means that the range is those values of the dependent variable less than y = -2 (not equal to y = -2), and these values extend to negative infinity.

In (2, 7), 2 is the input

Given:

First of all,we multiply 5 and 2 i.e.

Then,add 3 to this value.

It becomes 10+3=13

Hence,

Now, we convert the obtained value in mixed fraction.

First we divide 39 by 5 and then write the remainder in numerator and dividend in the side as shown.

Here, when we divide we get 6 as divident and 4 as remainder, so we express it like this.

Hence, option (4) is correct.

2+2=4

The answer is 4

Answer:

4!

Step-by-step explanation:

when you add them together you get 4

Assuming that the question for this case is:

We can subtract in both sides of the equation 2 and we got:

And the solution for this case would be 10

Area of the figure = 72mm²

Given:

An irregular figure

To find:

the area of the figure

To determine the area, we will divide the figure into shapes with known areas

We have 1 triangle, 1 rectangle, and 1 square. We will find the area of each of the shapes

Area of triangle = 1/2 × base × height

height = 3mm

base = 4 + 3 + 1 = 8mm

Area of rectangle = length × width

length = 8mm, width = 3mm

Area of square = length²

length = 6 mm

Area of the figure = Area of triangle + Area of the rectangle + Area of the square

We have to perform an hypothesis test of a proportion.

The claim is that the sample has a different proportion than the population.

Then, the null and alternative hypothesis are:

The significance level is 0.05.

The sample has a size n=86.

The sample proportion is p=0.349.

The standard error of the proportion is:

Then, we can calculate the z-statistic as:

This test is a two-tailed test*, so the P-value for this test is calculated as:

* We use a two-tailed test because we are looking for difference above or below the population proportion.

As the P-value (0.025) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the sample has a different proportion than the population.

Answer:

1) The null and alternative hypothesis are:

2) The test statistic is z=2.241.

3) The P-value is 0.025. The value in the standard normal distribution is:

4) As the effect is significant (the P-value is less than the significance level), there is evidence to reject the null hypothesis.

The conclusion is that this sample has a proportion that is significantly different from that from the population.

We are going to use the compound interest formula to solve:

Where:

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

1.48% to a decimal

Since the interest is compounded daily, we will use 365 for n. Therefore:

Answer: $304.47

Since the amplitud of the function is 5 and it starts on (0,9) we can say that the function is:

y=5cos(pi/80x)+4

Answer;

Explanation;

To get the correct choice, we have to simplify the given equation as follows;

So, the correct option is A and we fill the value 40 in the box

SOLUTION:

Case: probability

Method:

From the table,

The probability that a shopper will prefer neither D nor C is:

Final answer:

The probability that a shopper will prefer neither Drink D nor C:

25/46

We have the following:

(a)

for there to be an upward displacement, we must add the function the value that we want it to rise, like this

(b)

for there to be a shift to the left, we must add the exponent from the value we want it to rise, like this

(c)

for there to be a shift to the left, we must subtract the exponent from the value we want it to rise, like this

The inverse is:

The answer is

Answer:

5250 deer

Explanation:

We know that the deer population increases by 5% each year. This means That if we start with a population of 5000, then next year the population will be 100% + 5% = 105% of 5000.

Now, what is 105% of 5000?

The answer is

Hence, the deer population after one year will be 5250.

We can solve the same problem with a somewhat different approach.

We know that the deer population increases by 5% per year. Then what is the deer population next year if we start with 5000 deer?

Next year the population will have increased by 5%.

Now, what is 5% of 5000?

The answer is

This means the population has increased by 250.

Therefore, the population next year is 5000 + 250 = 5250 deer.

Answer:To divide a polynomial by a binomial of the form  x - c using synthetic division.

Use the Remainder Theorem in conjunction with synthetic division to find a functional value.

Use the Factor Theorem in conjunction with synthetic division to find factors and zeros of a polynomial function.

Step-by-step explanation:

if you have the lessons this is what id do to solve this!

Let's draw a picture of our problem:

The trigonometric value function of the angle beta will have the same value of the trigonometric value function of theta. Then, in order to find the cosine of beta, we can use the following right triangle

Therefore,

or equivalently

Therefore, the answer is correct.