What the answer to this to solve the problem

To prove that the sum of the remote interior angles and the exterior angle have the same value, we recall 2 things:

1.- the inner angles of a triangle add up 180 degrees

2.- angle 3 and angle 4 are supplementary which means that they add up 180 degrees.

Answer:

They are linear pair and therefore supplementary.

Triangle sum theorem.

Substitution.

Subtraction property of equality.

A.find s(4)

B. means that in 4 days there will be 32000 infected people

C. find t to S(t)=23

D. means there will be 23,000 infected people after 3 days

E. Graph

to draw the line we need two points which we already have but we will add another to make a table of 3 values the new value is t=1

table

graph

The slope intercept of a line is:

We re-write the equation given:

The graph of this line is shown below:

As you can see the options A and B are decreasing, D is constant, therefore, the only increasing relationship is the option C

A three-course meal will contain 1 pizza, 1 salad, and 1 dessert.

The question tells us that there are 4 different salads, 5 different pizzas, and 3 different desserts.

Therefore, the total number of possible ways a three-course meal can be served is calculated as the product of all the numbers. This is shown below:

60 different meals can be ordered.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The graphs of the two equations:

is as follows:

CONCLUSION:

From the graphs above, we can see that the solution to the graphs is:

You have the following A, B and C points, which are transformed to the points A', B' and C', jus

Given in the question:

a.) Base area of music box = 9 1/2 in²

b.) Height of music box = 3 1/5 in.

Let's recall the formula for getting the volume of a rectangular prism:

Before we plug in the values, let's first transform the mixed numbers into improper fractions.

Let's now plug in the values to get the volume of the music box.

Therefore, the volume of the music box is 30 2/5 in.^3.

Solution:

Given a cosine function graph;

The general cosine function is

Where

From the graph,

The midline is y = 1

The amplitude, A, is

The amplitude, A is 3

Where,

The phase shift, C = 0, and the vertical, D, is 1

Thus, the equation of the graph is

The graph is shown below

Hence, the equation is

Given the following equation:

We will sketch the graph and identify the axis of symmetry.

the given function is a quadratic function with a vertex at (1, 2)

the graph of the function will be as follows:

As shown, the graph of the function has an axis of symmetry at x = 1

So, the answer will be option 3) x = 1

The correlation coefficient between flow rate and amount of eroded soil is:

0.967.

The correlation coefficient is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, meaning that the variables are direct proportional. If it is negative, the variables are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the variables is strong.

Given a data-set of two points, the correlation coefficient is found inserting points of the data-set into the calculator. In this problem, the points in the data-set are given as follows:

(0.31, 0.82), (0.85, 1.95), (1.26, 2.18), (2.47, 3.01), (3.75, 6.07).

Using a calculator, the coefficient is given as follows:

0.967.

Hence the last option gives the correct coefficient.

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

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SOLUTION:

Case: Quadratics equation

Method:

Final answer:

x= 16

x= 26

Answer:

4 divide the sum of z and 3 by 7

Step-by-step explanation:

z+3=7

or,z=7-3

or,z=4

Given

x = 5

5x + 2 = 27

Procedure

d. Yes, because when x is replaced by 5 the equation is true. ​

If the unknown number is an integer between 280 and 349;

When rounded to the nearest hundred, the unknown number is 300.

If the unknown number is an integer from 350-380;

When rounded to the nearest hundred, the unknown number is 400.

If the approximation is 45 less than the original number, thus it cant be in the range of 350-380.

But;

When 345 is rounded to the nearest hundred, it is 300.

And the difference between the approximated value and the original value is 45.

Hence, 345 is the original number.

CORRECT ANSWER: 345

We want to find the value for

To do that, first let's rewrite this expression as

Using the following property

We can rewrite our expression as

Using the given value on the text, we get our answer

Given the equations:

Let's find the point where both equations intersect.

To find the point let's first find the value of x by equation both expression:

Now, equate to zero:

Now let's factor by grouping

Solve each factor for x:

We can see from the given options, we have a point where the x-coordinate is 1 and the y-coordinate is 8.

Since we have a solution of x = 1.

Let's plug in 1 in both function and check if the result with be 8.

We can see the results are the same.

Therefore, the point where the two equations meet is:

(1, 8)

ANSWER:

B. (1, 8)

The value of each line segment is found as 26 units.

For the given question.

The line is given as DE and the mid point of line is D.

Thus,

CD = DE   .....eq 1

The value of each term are given as;

CD = 2x + 7

DE = 4(x - 3)

Put the value in equation 1.

2x + 7 = 4(x - 3)

2x + 7 = 4x - 12

Bring variables and constants on the different sides.

4x - 2x = 7 + 12

2x = 19

x = 9.5

Put the value in each side;

Thus, the value of each line segment is found as 26 units.

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Answer:

27 cubic feet

Explanation:

The volume of a cube with side length L is given by

Now in our case, L = 3 ft; therefore, the volume is

which simplifies to give

which is our answer!

Hence, the volume of the cube with the side length of 3 cm is 27 cubic cm.

given the expression :

We need to evaluate the expression when :

So, substitute with a , b and c at the expression

The result will be :

There is another expression :

By substitute with the values of a, b and c

so, the result will be :

The formula to obtain the angle of rotation is as follows:

Compare the given equation to the general equation of a conic.

Thus, the values of A, B, and C are as follows.

Substitute the values into the equation.

Find the value of the θ.

Solution

The final answer

Option C

If I invest $2000 at 6% interest compounded monthly, it will take 11.58 years by the account to double in value.

What is compound interest?

The practice of adding interest to the principal amount of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the lent capital rather than paid out, or required to be paid by the borrower, resulting in interest being created the next period on the principal amount plus any accrued interest. Compound interest is a prominent concept in finance and economics.

The initial investment of $2000 at 6% compounded monthly.

Since, the interest rate of 6% is compounding monthly, then the effective annual interest rate will be

= (1+)−1i = (1+rm)m−1

Here, r = interest rate in decimals

= (1+0.0612)12−1i = (1+0.0612)12−1

= 0.061678i = 0.061678

= ×100 = 6.1678%

Now, we are using Rule 72 to calculate the doubling time

Time to double the initial amount = 72 /effective annual interest rate

Time to double the initial amount = 11.58 years

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Equation: S = $70·W + $550

Amount of manoey after 18 weeks: $1810

To solve this, we have two variables, the amount of weeks (W) and savings (S)

Each week, $70 dolars are added to the account. Then we can write this as: $70·W.

Now there is an initial amount of $550. Then we must add that mount to the previous calculation: $70·W + $550

This give us the savings on each week. THen THe complete equation is S = $70·W + $550

Now, to know the savings after 18 weeks, we can replace W = 18 and solve:

Thus, the savings after 18 weeks is $1810

SOLUTION

We will use a Venn Diagram for this problem.

Let N represent those that use Netflix, R represent those that use Redbox and V represent those that use video store. The Venn Diagram is shown below

From the Venn Diagram above, the number in each part of a circle, represents the information

Now, how many people use Redbox?

The number of those that use Redbox is represented by the circle R, so we add all the numbers in this circle, we have

Hence the answer is 115

ANSWER

The graph of function g is the graph of function f stretched horizontally by a factor of 4.

EXPLANATION

Function g(x) is a transformation of function f(x), obtained by multiplying the variable, x, by 1/4. This is described as a horizontal stretch by a factor of 4.

Hence, the graph of function g is the graph of function f stretched horizontally by a factor of 4.

We are asked to determine wheater 6/10 in decimal form is repeating or terminating. To do that we need to divide 6 over 10. To do that, we proceed as follows:

We need to find a number that when multiplied by 10 gives 6. That number is 0.6, because:

Therefore 6/10=0.6 Since the numbers after the radix point do not repeat, this is a terminating decimal.

Work Shown:

P = 580

r = 0.135

t = 18 months = 18/12 = 1.5 years

A = P*(1+r*t)

A = 580*(1+0.135*1.5)

A = 697.45