For the following scores:a. construct a frequency distribution table.b. sketch a histogram of the frequency distribution.5, 4, 3, 5, 4, 2, 4, 15, 4, 6, 1, 4, 5, 2, 3

y= x+ 1/4 x

Y = dependent variable

x= independent variable

Jenny has a bank account. In the first month, she deposits a certain amount of money (x), and in the month after she deposits 1/4 of that amount.

Find the total amount of money deposited (y).

We have the following:

For the area surface:

repacing:

r = 1.5 in

h = 7 in

The answer is 65.9 in^2

For volume:

The answer is 49.5 in^3

Answer:

-9,-3,3,27

Step-by-step explanation:

Just multiply x by 6 and subtract 3 to that

Answer:

seven less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

nine times the difference of a number cubed and three; 9(n³-3)

eight more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

Step-by-step explanation:

The first 5 cubic numbers are:

To find the set that represents event E we have to choose the numbers from the set above that are evenly divided by 2; this means that we have to choose the numbers that are multiple of 2. We notice that this numbers are 8 and 64, therefore the set that represents event E is:

Step-by-step explanation:

A nonagon has 9 sides, so a regular nonagon will have vertices that are 40° apart as measured from the center. It has 9-fold rotational symmetry,

so the figure will be identical to the original when rotated multiples of 360°/9 = 40°.

Therefore the degrees will a nonagon have rotational symmetry

Hene the correct answer is Option B

The cotangent is given by the cosine over the sine.

If the cotangent is positive and the sine is positive, that means the cosine is also positive.

Now, in order to find the value of cos(x), we can use the following property:

Answer:

bottom one

Step-by-step explanation:

we have that

the number 3 appears 4 times

so

answer is

option C most likely to land on 3

By distributive property, we distribute 3x, and multiply it to each term inside the binomial (7x+6) accounting for the sign.

Given data:

The given coordinate of L is (-1,4).

The given coordinate of M is(-1, -3).

The expression for LM length is,

Thus, the LM length is 7 units.

The said statement is true.

A power has two parts, a base and an exponent.

Example

The answer is TRUE

The amount compounded is given by the formula ;

Here, P = $3500, r = 1.75%, n = 52 , t = 18 years.

Therefore, the interest the account will earn is 4795.65-3500 = $1295.65, Option A

We have the following equation

y = -x + 8

this equation is writen in slope intercept form

y = mx + b

where m is the slope

From the above, we can see that the slope is m = -1

Answer: Mark up is 220%

Cost to store : $145

selling price = $319

let x = mark up

Using the below equation

Answer:

To solve the system of two linear inequalities graphically,

For step 1,

Draw a line 4x+6y=24

Since the given equation has less than sign, the required region will not include the line, Hence we draw the dashed line for the line 4x+6y=24.

Since we required redion is 4x+6y<24, the points bellows the line satisfies the condition hence the required region is below the line,

Similarly for the inequality,

It covers the region right side of the line x=2,

we get the siolution region as the intersecting region of both inequality which defined in the graph as,

Dark blue shaded region is the required solution set for the given inequalities.

we have the formula

we have

R=9.2

I0=1

substitute in the given equation

I=1,584,893,192.46

1) Considering that for that complex number we have the following pattern:

2) And that, the question asks us about the what number must be that exponent so that the remainder is 2, we can write out:

which d is the divisor, so if the remainder is 2 then we can state:

The original price of the shirt is , 20 dollar.

It is given that the shirts are 15% off.

Therefore, the price of the shirt is ,

The price of the shirt is, 17 dollar after 15% off.

It is also given that there are 10% sales tax.

The total cost of the shirt is determined by including the sales tax in the price of the shirt after 15% off.

Thus, The total cost of shirt is calculated as, 18.7 dollar.

Answer:

it would be on 7 since 60-11=49 and the square root of 49 is 7

We are asked to determine the 45% of 240. To do that we need to multiply 240 by 45/100, that is:

therefore, 45 percent of 240 is 108

Given the following points that pass through the line:

Point A : 12,4

Point B : 22,9

Step 1: Let's determine the slope of the line (m).

Step 2: Let's determine the y-intercept (b). Substitute m = 1/2 and x,y = 12,4 in y = mx + b.

Step 3: Let's complete the equation. Substitute m = 1/2 and b = -2 in y = mx + b.

Therefore, the equation of the line is y = 1/2x - 2.

Solution:

Consider the following expression:

Remember that The factorial function is defined by the product:

thus, according to this definition, the given expression can be expressed as:

now, simplifying the previous expression we obtain:

we can conclude that the correct answer is:

From the diagram given in the question, we are asked to find the missing length indicated.

We can see from the diagram that the right triangles are similar, so the ratio of hypotenuse to short leg is the same for all.

So,

x/900 = (1600 + 900)/x

Let's cross multiply:

x² = 900(2500)

let's take square of both sides:

x = √(900) * √(2500)

x = 30(50)

x = 30 * 50

x = 1500

Therefore, the missing length is 1500

SOLUTION

Let us solve the simultaneous equation

using elimination

To eliminate, we must decide which of the variables, x or y is easier to eliminate. The variable you must eliminate must be the same and have different sign. Looking above, it is easier to eliminate y because we have 1y above and 1y below. But to eliminate the y's, one must be +y and the other -y. So that +y -y becomes zero.

So to make the y's different, I will multiply the second equation by a -1. This becomes

So, now we can eliminate y, doing this we have

Now, to get y, we put x = 1 into any of the equations, Using equation 1, we have

So, x = 1 and y = -2

Using substitution, we make y or x the subject in any of the equations. Looking at this, It is easier to do this using equation 2. From equation 2,

Now, we will put y = x - 3 into the other equation, which is equation 1, we have

So, substituting x for 1 into equation 1, we have

Substituting x for 1 into equation 2, we have

Now, for graphing,

Given:

Let's factor using synthetic division.

Equate the divisor to zero:

x - 5 = 0

x = 5

List all terms of the polynomial: 1, -7, 2, 40

Palce the numbers representing the divisor and dividend into a long division-like configuration

To factor using synthetic division, we have:

Therefore, the factored expression is:

The zeros are also the roots of the polynomial.

The zeros of a polynomial are all the x-values that makes the polynomial equal to zero,

To find the zeros, equate each afctor to zero:

(x - 4) = 0

x = 4

(x + 2) = 0

x = -2

Thus, the zeros are:

x = 4, -2

ANSWER:

Congruent Shapes

Two congruent shapes have the same size and shape, which means all of their side lengths are equal and all of their internal angles are congruent (have the same measure),

All of the rigid transformations map the original figure to a congruent figure. One of the transformations is the reflection.

The image shows two shapes SRQP and EDCB. They seem to have the same shape and size, but it must be proven by finding the appropriate transformation used.

Comparing the corresponding vertices we can find that out. For example, the coordinates of S are (-6,4) and the coordinates of E are (4,4). The x-coordinate of the midpoint between them is

xm = (-6+4)/2 = -1

Now analyze the points P(-8,2) and B(6,2). The x-coordinate of the midpoint is:

xm = (-8+6)/2 = -1

For the points R(-4,-6) and D(2,-6):

xm = (-4+2)/2 = -1

For the points Q(-9,-4) and D(8,-4):

xm = (-9+8)/2 = -0.5

Since this last pair of corresponding points don't have the same axis of symmetry as the others, the shapes don't have the same size and angles, thus they are not congruent

For both shapes to be congruent, the coordinates of Q should have been (-10,-4)

Adam had $200

He spent $75 on clothes and $55 on video game

The total money spent by Adam is

The amount left with Adam is

Then his mom gave him $20

The total amount of money Adam have now is

Hence, the answer is $90

Given:

Find-:

Sol:

Use integration then:

The function value at x = 2 is:

The function value at x = 5

Function value at x = 8

Solution

The picture below is the solution to the problem

Brief explanantion

From the data given, It is obvious that:

Minimum = 2

Maximum =

The total number of the data is 3, so the number 7th term is the median

Thus,

Median = 8

To find Q1

Q1 is between the third and fourth term

Therefore, Q1 is

Similarly, to find Q3

Q3 is between the tenth and the eleventh term

Therefore, Q3 is