6) What is the equation of the following graphed function?Is the vertex a maximum or minimum?What are the solutions to the function?What is the y-intercept?уmobruo uove56$ x

$ 119.607

Explanation

we can easily solve this by using a rule of three

Step 1

Let

actual price(2020)=price of 2019 + 2%

so

actual price(2020)= 102 % and

price ( 2019)=100 %

let x represents the cost for 2019, so

the proportion would be

therefore, the cost in January of 2019 is

$ 119.607

I hope this helps you

Let's begin by identifying key information given to us:

One angle = 128 degrees, Second angle = 62 degrees

Complementary angle are angles that sum up to 90 degrees

Supplementary angles are angles that sum up to 180 degrees

We will proceed to sum these two angles together. We have:

Therefore, these angles are supplementary angles since they sum up to 180 degrees

To complete the table you have to input each value of x in the given equation and solve for y:

Function:

For x= -2

x= -2 → y=13

For x= 0

x=0 → y=9

For x= 2

x=2 → y=5

For x= 4

x=4 → y=1

ANSWER

-72 ft

EXPLANATION

We can draw a number line:

If the 0 of the number line is sea level, we would normally say that all positive numbers are those that are above sea level and negative numbers those that are below sea level.

Therefore, to represent an elevation that is below sea level, we'd write it as a negative number: -72 ft

Vertex C (4, 6 ) Rotation 180º about the origin CCW c' (-4, -6)

C (x, y ) C ' (-x, -y )

________________

Answer

Option D

Note that the square root of 8 is written as:

2 multiplied by the square root of 8 will then be expressed as:

Answer:

Explanation:

Given a sample with the following:

• Mean,M = 90

• Standard deviation, s = 20

To find the z-score for each of the given X values, we use the formula below:

The z-scores are calculated below:

Solution:

Let x represent Ronald's age, and y represent Megan's age.

Thus,

Given that Ronald was 1.5 times older than Megan, we have the equation to be represented

If Ronald was 27 years old, we have

Substituting the value of 27 for x into equation 1, we have

This implies that Megan's age is

The expression 5m³ - 10m² + 8m + 2 cannot be factorized

From the question, the polynomial is given as

5m^3-10m^2+8m+2

Rewrite the polynomial properly

So, we have

5m³ - 10m² + 8m + 2

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -0.197

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

Read more about factorized expressions at

https://brainly.com/question/2750166

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A parallelogram with two consecutive congruent sides.

1) Since a rhombus is a quadrilateral with 4 congruent sides. Then we can examine the options and state that

2) Given that a rhombus has congruent opposite angles, with four congruent sides.

3) The answer is

A parallelogram with two consecutive congruent sides.

With two consecutive sides, the whole polygon will have congruent sides.

Solution

For this case we can calculate the total with the following formula:

Fixed amount= 40*4$.70= $188

And now for the remain hours we can do this:

Extra = 6* 1.5*$4.70= $42.3

Then the total amount is:

Fixed amount+ Extra = 188$ + 42.3$ = $230.3

Then the answer is:

c. $230.30

Answer:

The volume is

Explanation:

The volume of a cube with length l is given by the formula:

Given the length 2 cm

The volume is:

Given,

The measure of the length of the side of square is s.

The height of the pyramid is 1/2 of the length of the side.

Required

The volume of the square pyramid.

The formula for the volume of the square pyramid is,

Substituting the values then,

Hence, the volume of the pyramid is s^3/6.

Percentage = 100 * (4000 - 3475)/3475 = 100 * (525/3475) = 52500/3475 = 15.1 %

Answer:

15.1%

Hello! To calculate the circumference, we have to use the formula below:

pi = 3

radius (r) = 14

Replacing these values in the formula, we will have:

Given:

n = 8, p = 0.4

To find:

P(X ≤ 4)

To determine the given probability, we will apply the binomial probability formula:

Using a graphing calculator :

The scatter plot will look thus:

The given expression is

2500/10.5

We would multiply the numerator and denominator by 10. We have

2500 x 10/10.5 x 10

= 25000/105

We would divide the numerator and denominator by common factors until they can't be simplified further. Dividing by 5, we have

5000/21

It can't be simplified further since there is no common factor of 5000 and 21. We would convert the fraction to mixed fraction

5000/21 = 238 remainder 2

Thus, if we write it as mixed fraction, we have

238 2/21

The composite image is that of a cuboid and a triangular prism

For the cuboid, the surface area will be

A = LB + 2BH + 2LH

L = 1.8

B= 1.1

H= 0.8

A = 1.8X1.1 + 2 X 1.1 X 0.8 + 2 X 1.8 X 0.8

A = 1.98 + 1.76 +2.88

Area of cuboid = 6.62

Remember that

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

so

In this problem

the largest interior angle is opposite to the longest side (TU)

that means

Given

average annual total returns for 9 mutual funds.

-9, 23, 12, 4, 11, 5, 36, 7, 31

Find

a) Mean

b) Median

c) Mode

Explanation

a) Mean = sum of observations/ total number of observation

so ,

to find median , we need to arrange in ascending order :

-9 , 4 , 5 , 7 , 11 , 12 , 23 , 31 , 37

there are 9 entries which is an odd number

so , median = (n+1/2)th term

so , median = 11

there is no mode because no term is repeating.

Final Answer

Hence ,

mean = 13.3

median = 11

mode - zero mode

1) We must solve for x the following equation:

To solve this equation, we take the natural logarithm to both sides of the equation:

Now, we use the following results:

Replacing these results in the equation above, we have:

Solving for x, we get:

2) We must solve for x the following equation:

To solve this problem, we isolate the part that involves the x:

Now, using the following property:

with:

we have:

Solving the last equation for x, we get:

Answers

1) The value of x that solves the first equation is 0.64 to two decimal places.

2) The value of x that solves the second equation is 3.90 to two decimal places.

Review of the base of a logarithm

We can define the logarithm in base a through the following equations:

When we use as a base the Euler number e ≅ 2.718, the logarithm is called "natural" and we use the following notation for it:

With this notation, we have the following properties:

From the frequency distribution, the measures are given as follows:

a) Total number of observations: 27.

b) The width of each class is of 5.

c) The midpoint of the second class if of 20.5.

d) The modal class is Class 12 - 17.

e) If another class was added, the limits would be 48 - 53.

The frequency distribution gives the number of observations that is located in each class.

Hence the total number of observations is given by the sum of the frequencies, as follows:

Total = 9 + 1 + 3 + 8 + 6 = 27.

The modal class is class with the highest number of observations, hence it is of:

Class 12-17.

The width of a class is given by the subtraction of the limits, hence:

Width = 47 - 42 = ... = 23 - 18 = 17 - 12 = 5.

For an added class, the lower bound would be one more than the last class, while the upper bound would be five added to the lower bound, hence the limits are:

48 - 53.

The midpoint of each class is given by the mean of the coordinates, hence, for the second class, it is of:

Midpoint = (18 + 23)/2 = 41/2 = 20.5.

More can be learned about frequency distributions at https://brainly.com/question/24623209

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Solution:

Given the rectangular prism;

Where;

Thus, the lateral area, L is;

ANSWER:

Also, the single base area, B, is;

ANSWER:

Then, the surface area, S, is;

ANSWER:

Solution

(a)

5 stations are along the orange line

(b)

8 stations

To find the general solution to y we need take the sine function in both sides of the equation given:

Now, we have to find the value of y for which the sine function is equal to the right side. From the properties of the sine function and its definition we conclude that y has to be:

Therefore the general solution is:

The sample proportion is the number of successes over the sample size. That is:

36/80 = 9/20

a. The domain of the function is the set of values of the independent variable (x) on which the function acts, in this case, the independent variable is time, since the time can only take positive values, the domain would be [0,∞) or x≥0.

The range is all the possible values that the dependent variable can take, in this case, the dependent variable is the population of fish, then it can't be a negative number, since you can't have for example -1 fish, then, again, the interval would be [0,∞) or y≥0

A graph of the function looks like this:

b. We can find the y-intercept by making x equals 0 in the formula of the function, like this:

y= 3*(2)^x

y= 3*(2)^0

y= 3*1, since any number raised to zero equals 1

y=3

Since x equals zero represents the initial time, the y-intercept represents the initial population of fish, then at the beginning, there were 3 fish.

c. We just have to replace 1 for x, and then calculate y, like this:

y= 3*(2)^x

y= 3*(2)^1

y= 3*(2)

y=6

At the end of the first week, there will be 6 fish.

d. Now, we just have to replace 4 for x, like this:

y= 3*(2)^4

y= 3*16

y=48

Then, after 4 weeks, there will be 48 fish

Answer:

Store A

Explanation:

To know which is the best deal, we need to find the price per apple for each store, so we need to divide the price by the number of apples.

For store A:

For Store B:

So, the best deal is Store A because the price per apple is less than the price of Store B.

95 - 43= 52

9 5

- 4 3

______

5 2

____________

5-3 =2

9-4 = 5

______________

Answer

The third choice, 52