In circle D with the measure of minor aré CE = 162 degrees, find m of CFE

Answer:

10.72

Step-by-step explanation:

The price per pound is 42.88

We are getting 1/4 pound.

Multiply 42.88 by 1/4

42.88 * 1/4 =10.72

Answer:

So you know that a pound of rice crackers cost $42.88. You also know that Matthew bought 1/4 or 25% or 0.25 of a pound. This means that by 42.88 divided 4 will equal the answer.

42.88 ÷ 4 = 10.72

Therefore, Matthew paid or $10.72 for 1/4 pound of rice crackers.

Answer:

Absolute minimum: x = -π / 6

Absolute maximum: x = π

Explanation:

The candidates for the absolute maximum and minimum are the endpoints and the critical points of the function.

First, we evaluate the function at the endpoints.

At x = -π, we have

At x = π, we have

Next, we find the critical points and evaluate the function at them.

The critical points = are points where the first derivative of the function are zero.

Taking the first derivative of the function gives

Now the critical points are where df(x)/dx =0; therefore, we solve

solving for x gives

on the interval [−π,π].

Now, we evaluate the function at the critical points.

At x = -π/ 6, we have

At x = -5π/6, we have

Hence, our candidates for absolute extrema are

Looking at the above we see that the absolute maximum occurs at x = π and the absolute minimum x = -π/6.

Hence,

Absolute maximum: x = π

Absolute minimum: x = -π / 6

From the problem, we have 3.25% to convert into fraction.

Note that percentage a% can be written as a/100

So 3.25% will be :

From here, we can multiply the numerator and the denominator by 100 to make 3.25 a whole number.

Next step is to simplify the fraction by getting the factors of the numerator and the denominator.

325 = 25 x 13

10000 = 25 x 400

Rewriting it again :

Cancel the common factor (25)

The answer is 13/400

We have the following:

In this case, we have the following formula:

Where C is the original value of the car, r is the depreciation rate and x is the time in years

The Solution:

Given the graph below:

We are required to determine the function that best describes the above graph.

Step1:

Identify the roots of the function from the given graph.

This means that:

So, the required function becomes:

Therefore, the correct answer is [option A]

We have three set of numbers and we must choose the greater value in each set

1.

When the numerator is 1, the greater fraction is the one that has the small denominator.

So, in this case the greater number is

2.

In this case we can rewrite the fractions as fractions with the same denominator

Then, the greater number is the one that has the greater numarator

So, it is

in this case the greater number is

3.

In this case we can rewrite the numbers as decimal numbers

In this case the greater number is

Given: a quadratic function with vertex (2,3) opening upward .

Find: the given statement is true or false.

Explanation: if parabola has a vertex at (2,3) and opens upward, it has one real solution., (2,3) will be a lowest point. The vertex will be at lowest point, it will be minimum.

that means graph has no one real solution. hence it will never going to intersect. so this statement is false.

Final answer: the given statement is FALSE.

The initial expression is:

So the first step is to multiply the numerator of the second fraction with the denominator of the first franction and the denominator of the second fraction by the numerator of the first fraction so:

So is option C)

The form of the exponential function is

a is the initial value (value f(x) at x = 0)

b is the growth/decay factor

Since the function has points (0, 6) and (3, 48), then

Substitute x by 0 and f(x) by 6 to find the value of a

Substitute the value of a in the equation above

Now, we will use the 2nd point

Substitute x by 3 and f(x) by 48

Divide both sides by 6

Since 8 = 2 x 2 x 2, then

Change 8 to 2^3

Since the powers are equal then the bases must be equal

Substitute the value of b in the function

The answer is:

The formula of the exponential function is

ANSWER;

Converse; Exterior alternate angles are equal

EXPLANATION;

Here, we want to get the value of x given that the lines l and m are parallel

From the diagram given, we can see that;

The reason for this is that they are a pair of exterior alternate angles

Mathematically, exterior alternate angles are equal

From here, we can proceed to solve for the value of x;

If a polynomial has a zero of "a" with multilicity b, the factor would be:

So, accordingly the factors would be:

They are

We can write out the polynomial, f(x), as:

(fog)(x) = 5x² - 15x + 61

The given functions are:

f(x) = 5x + 1

g(x) = x² - 3x + 12

(fog)(x) = f(g(x))

This means that we are substituting g(x) into f(x)

(fog)(x) = 5(x² - 3x + 12) + 1

(fog)(x) = 5x² - 15x + 60 + 1

This can be further simplified as:

(fog)(x) = 5x² - 15x + 61

Solution:

The area of a recatngle is expressed as

Given that the length of the rectangle is 13 centimeters less than four times its width, this implies that

Tha area of the rectangle is 35 square centimeters. This implies that

Substitute equation 1 into equation 2. Thus,

Solve equation 3 by using the quadratic formula expressed as

thus, we have

but the width cannot be negative. thus, the width of the recangle is

From equation 1,

substitute the obtained value of W into equation 1.

Thus, we have

Hence:

The width is

The length is

Divide the number of nails by the number of minutes:

16 1/5 ÷ 15 = 1 2/25 per minute

48 3/5 ÷ 45 = 1 2/25 per min

59 2/5 ÷ 55 = 1 2/25 per min

We have the number of nails produced per minute, to calculate the number of nails in an hour multiply it by 60, because 60 minutes= 1 hour:

1 2/25 x 60 = 64 4/5

Answer:

Quotient:

Remainder:

P(-2):

Step-by-step explanation:

Remember that the remainder theorem states that the remainder when a polynomial p(x) is divided by (x - a) is p(a).

To calculate the quotient, we'll do the synthetic division as following:

Step one:

Write down the first coefficient without changes

Step two:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 3:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 4:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Now, we will have completed the division and have obtained the following resulting coefficients:

Thus, we can conlcude that the quotient is:

And the remainder is 13, which is indeed P(-2)

Notice that the red function is similar to the black function, which means the transformation applied was a translation.

The transformation is 5 units to the right, exactly.

Therefore, the function that represents the red figure is

To solve this question we will use the following expression to compute the theoretical probability:

1) We know that there are 4 fives, 4 sixes, and 4 sevens in a standard deck of 52 cards, then, the probability of selecting a 5, 6, or 7 is:

2) Simplifying the above expression we get:

Answer:

Answer:

p(-3) = -428

Given the polynomial function expressed as:

Determine the value of p(-3)

Hence the value of p(-3) is -428

ANSWER and EXPLANATION

We want to stretch the graph of:

y = x

A vertical stretch of a linear function is represented as:

y' = c * y

where c is the factor

The factor from the question is 3.

So, the new equation is:

y' = 3 * x

y' = 3x

Let us plot the functions:

The equation of the line that is perpendicular with y = 4 · x - 3 and passes through the point (- 12, 7) is y = - (1 / 4) · x + 4.

In this problem we find the case of a line that is perpendicular to another line and that passes through a given point. The equation of the line in slope-intercept form is described below:

y = m · x + b

Where:

In accordance with analytical geometry, the relationship between the two slopes of the lines are:

m · m' = - 1

Where:

If we know that m = 4 and (x, y) = (- 12, 7), then the equation of the perpendicular line is:

m' = - 1 / 4

b = 7 - (- 1 / 4) · (- 12)

b = 7 + (1 / 4) · (- 12)

b = 7 - 3

b = 4

And the equation of the line is y = - (1 / 4) · x + 4.

To learn more on equations of the line: https://brainly.com/question/2564656

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Answer:

It’s siu

Step-by-step explanation:

Answer:x≤4.6

Step-by-step explanation: 2x-6(x-3)≥5. 1).combine the like terms. 2x+x=3x & -6+-3=-9. 2). isolate the "x". 3x-9≥5. 3x≥14. 3). divide both sides by your coefficient. 3x≥14/ 3

x≥4.6

4) flip your sign. x≤4.6

Answer:

25

Step-by-step explanation:

180-88=92

92+61=123

123+30+x=180

153+x=180

x=25

Answer:

5/12 of the cleaning solution.

Step-by-step explanation:

2/3 – 1/4

------------------------------------------

2 × 4            

              = 8/12

3 × 4  

------------------------------------------

1 x 3        

             = 3/12

4 x 3

------------------------------------------

8 – 3

  12

=  5/12

------------------------------------------

Hopefully this makes sense!

From the diagram, we notice that the line JL bisects the angle J into two equal angles. Hence, we can conclude that the correct statement is this:

JL is an angle bisector

An angle bisector are

To solve this problem, first, we will solve the given equation for y:

Once we have the above equation, now we compute the derivative. To compute the derivative we will use the following properties of derivatives:

Where k is a constant.

First, we use the second property above, and get that:

Now, from the chain rule, we get:

Finally, computing the above derivatives (using the rule for the arctan), we get:

Answer:

11x + 5 + 8x + 4 = 180

Simplifying like terms

11x + 8x = 180 - 5 - 4

19x = 171

x = 171/19

x = 9

RQS = 11(9) + 5

= 99 + 5

= 104°

TQS = 8(9) + 4

= 72 + 4

= 76°

Solution

Step 1: Simplify the expression

Step 2: Divide the both side by -2

Therefore the correct value of y = - 30