Find the equation of a line parallel to y=x+6 that passes through the point (8,7)(8,7).

Solution

Note: Laws Of Logarithm To Use

From the question, we have

To evaluate, we have

The answer is

Maryam's total percentage score on her exam is 71%.

Percentage is the ratio of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %.

The first step is to determine the score on each paper.

Score on the first test = 65% x 120

(65 / 100) x 120  = 78

Score on the second test = 80% x 80

0.80 x 80 = 64

Total percentage score = (sum of scores / total score) x 100

Sum of scores = 64 + 78 = 142

Total score = 120 + 80 = 200

(142 / 200) x 100 = 71%

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1) Gathering the data

$3500 computer

17% down

3.7% interest rate.

2) Since we want to know how much is that down payment, we must turn that 17% into decimal form, then multiply it by the computer value:

17%=0.17

3500 x 0.17 = $595

3) So Christian must pay $595 as the down payment

Kindly check below

Question 1) We can see that in the column "number of recipients" there is a Geometric Sequence whose common ratio is 5.

2) Therefore, we can fill in those gaps with the following:

3) Thus is the table.

Answer: 70

Step-by-step explanation: 180-110=70

because of isosceles, so ∠1=70

Given coordinates of A(2,-1), B(1,3), C(6,5)

Let the coordinates of D(x,y)

Let join AC and BD:

SO by mid point rule:

Coordinates of midpoint by AC are:

And the midpoint of BD are same as AC:

hence the coordinates of D are (7,1)

Option D is correct.

In the cosine equation

A is the amplitude

B is using it to find the period

C is the phase shift

D is the vertical shift

Since the given function is

A = 1

B = 1

C = 0

D = 2

The amplitude is 1

The answer is 1

Explanation

The question wants us to obtain all the outcomes possible when a coin and a cube is tossed

A coin has two possible outcomes

A cube has 6 surfaces, so the outcomes are

Thus, we can have the diagram showing the outcomes to be

Given:-

A circle has a central angle 135 degrees.

The radius of the circle is 24.

To find the arc length.

So now we use the formula,

Now we convert 135 degrees to radians. so we get,

So now we substitute the value. so we get,

So the required value is,

So the correct option is OPTION D.

the formula is:

A = P( 1 + r/n )^nt

then solve:

The correct option for the missing sides of given triangles is-

For the given question,

The dimension of the two triangles are given with the missing sides.

Part 1: In the given rectangles;

5/3 = x/18

x = 30

Part 2: In the given rectangles;

9/x = 3/7

x = 21

Part 3: In the given triangles;

x/63 = 7/9

x = 49

Part 4: In the given triangles;

16/x = 8/11

x = 22

Thus, the missing sides of the given shapes are found.

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she spent 525 on Food

she spent 750 on rent

she spent 775 on others

she spent 450 on fun

Explanation

to find the value of the percentage of any number just use this formula

so

to find the values, apply the formula

Step 1

a) food :21 %

so

it means she spent 525 on Food

Step 2

b) Rent:30 %

so

it means she spent 750 on rent

Step 3

c)other:31 %

so

it means she spent 775 on others

Step 4

d)Fun:18 %

so

it means she spent 450 on fun

I hope this helps you

The solution set does have only one element: {7000}

By definition, a function is a relation in which each input value has one and only one output value.

The input values are also known as x-values and the output values are also called y-values.

By definition, the Minimum is the lower point of the function.

Having the table shown in the exercise, you can identify the following points:

You can identify that the lower y-value of all those points is:

Therefore, you can determine that the lower point of the function is:

The answer is:

A.

This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.

Hence, the answer that better represent the resulting vector is answer A.

A.

This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.

Hence, the answer that better represent the resulting vector is answer A.

Problem

Solution

For this case we need to verify if the pattern is linear so we cna check this doing the following operations:

(12-4)/(1-0) =8

(20-12)/(2-1) =8

(28-20)/(3-2) =8

(36-28)/(4-3) =8

(44-36)/(5-4) =8

(52-44)/(6-5) =8

And as we can see we have the same constant so we can conclude that we have a linear pattern with a constant value of k=8

That means for every increase in the figure the vehicles increase by 8

We can also find the formula for the linear pattern and we have:

4 =8 (0)+b

And solving for b we got

b= 4

And the equation y=mx+b is:

y= 8x +4

Instead of describing the constituents of a set, a set-builder notation describes them. The set-builder notation exists A = {x: x is a natural number less than 27}.

A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.

Set-builder notation is a mathematical notation for defining a set by enumerating its elements or by specifying the properties that each of its members must satisfy. It is used in set theory and its applications to logic, mathematics, and computer science.

Let the given inequality be 2x+1 < 27

Subtract 1 from both sides, we get

-2x+1-1 < 27-1

Simplifying the above equation, we get

-2 x < 26

Multiply both sides by - 1 (reverse the inequality)

(-2 x)(-1) > 26(-1)

Simplifying the above equation, we get

2x > -26

Divide both sides by 2

[tex]$\frac{2 x}{2} > \frac{-26}{2}[/tex]

x > -13

Therefore, the set-builder notation exists

A = {x: x is a natural number less than 27}.

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Let's begin by listing out the information given to us:

Total utensils = 66

Spoons = 22

Forks = 66 - 22 = 44

The ratio of spoons to the total utensil is given by the ratio of spoons to total utensils. We have:

22:66 ⇒ 1:3

Therefore, the ratio of spoons to total utensils is 1 spoon is to 3 utensils

The ratio of the number of forks to spoon is given by the ratio of forks to spoon. We have:

44:22 ⇒ 2:1

Therefore, the ratio of forks to spoon is 2 to 1. For every 2 forks, there is 1 spoon

6.

(a)

The slope for the side AB is:

The slope for the side BC is:

The slope for the side DC is:

And the slope for AD is:

(b) According to the previous results:

(c) Since it has two pairs of parallel sides, also, The opposite sides are of equal length, we can conclude that this figure is a parallelogram

The future value formula, given by

Can be used to obtain the Principal by substituting other values into the equation and solving for P

Step 1: List out the parameters given

FV =$8,700

r=7%=0.07

n=4 (since there are 4 quarters in a year)

t=6 (since it will be compounded 6 times a year)

Step 2: Substitute the values into the formula

Solving for P

P=$5737.11

Option B is correct

ANSWER :

EXPLANATION :

When a=2, b=3, x=4, and y=5,

evaluate:

Let's replace b, x and y by the appropriate values:

now let's solve what is inside the parenthesis:

again more solving inside the second parenthesis:

and again, first multiplying what is indicated. Recall that the rule PEMDAS for order of operations indicates that Parenthesis have to be solved first, then exponents, then multiplications and divisions, and the VERY LAST is additions and subtractions:

You do the same type of replacement of variables wit numbers, and then use of the rules for order of operations to evaluate the rest.

Like:

and then evaluate:

A shortcut for a 90° counterclockwise rotation:

• If the point (h, k) is rotated 90° counterclockwise rotation, then the final point will be (-k, h).

Answer:

Therefore the coordinates would be:

• X,(-5, 3) → ,X',(-3, -5)

• Y,(-1, 1) → ,Y',(-1, -1)

• Z,(-8, -4) → ,Z',(4, -8)

Then, the rule is (x, y) → (-y, x).

ANSWER

Graph D is the correct option

EXPLANATION

The turning points of a function are the points where its derivative changes sign - therefore the slope of the function changes sign. In other words, the turning points are the local maximums and local minimums of the function.

From these options, the one that has a local maximum/minimum at point (-1, 2) and another at point (1, -2) is option D.

The triangle formed is shown in the diagram below

The angle of elevation of the sun is represented by x. To determine x, we would apply the tangent trigonometric ratio which is expressed as

Tan# = opposite side/adjacent side

opposite side = 150

adjacent side = 40

Tan x = 150/40 = 3.75

x = Tan^-1(3.75)

x = 75.069

To the nearest degree, the measure of the angle of elevation of the sun is 75 degrees

We are given the following equation:

We need to solve for delta, to do that we will first add 8delta on both sides:

Now we add like terms:

Now we subtract 21 on both sides:

Adding like terms:

Therefore delta is 17

When two angles are adjacent on a straight line, then the sum of the two angles equals 180 (that is sum of angles on a straight line). Therefore;

The measure of r is 15

A bird sits on top of a Lamppost. The angle made by the lamp-post and a line from the feet of the bird to the feet of the Observer standing away from the Lamppost is 55°. the distance from the Lamppost and the Observer is 25 ft. estimate the height of the lamp post ​

we have that

see the attached figure to better understand the problem

so

tan(55)=h/25

solve for h

h=25(tan(55))

Explanation:

A counterclockwise rotation about the origin by 90 degrees rule is:

The reflection about the x-axis is:

If we take for example point P (-3, -2) we can see it ends at P'(2,3). The counterclockwise rotation about the origin by 90º gives:

And now with a reflection about the x-axis:

Which is point P'

Answer:

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis

From the given table, the quadratic model is given by

which corresponds to option B.

The general quadratic model is given by

and we need to find the constants A, B and C. They are given by

and

For instance, the variance for x, denoted by S_xx is given by

where x is the variable which corresponds to the "years since 1970" and the number 20 in each parenthesis is the mean of the this variable, that is

Now, the variance S_xy is given by