Harmie's average s-day natural gas usage rate is 5.g therms AR are sdays What day- and 8-day natural gas usage rates? are her

Supplementary angles are angles that add up to 180 degrees.

To find the supplementary angle to ∠EOD, we find the angle with ∠EOD that makes up a straight line.

Looking at the figure, EC is a straight line and both ∠EOD and ∠DOC fall on this line. These two angles make up 180 degrees.

Thus,

The one supplementary angle to ∠EOD is ∠DOC.

1)  3.2a , a  and 1 , 4 1/3 , 7 are the like terms in the expression.

2) 2.2a + 1.66 is the simplified linear expression

The greatest power of a variable in a linear equation is always equal to 1. A one-degree equation is another name for it. A linear equation with one variable is typically expressed as Ax + B = 0. Here, the variables x and A and B are constants and coefficients, respectively.

1 )  Merger of similar items 3.2a , a

and 1 , 4 1/3 , 7

2 ) 3.2 a -1 - 4 1/3 + 7 -a

= 3.2a - a - 1 - 4 1/3 + 7

= 2.2a + 6 - 13/3

= 2.2a + 6 - 4.34

= 2.2a + 1.66

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We would like to find the equation of the line that passes through the point (1.2) and is perpendicular to the line y=-1/5 x +2, and write in slope intercept form. To do this first we have to remeber that the equation of a line is given by

and that to find it we need a point and the slope. In this case we have the point but we don't know the slope yet. To find the slope we notice that the line has to be perpendicular to the line y=-1/5 x +2. We need to remember that two lines are perpendicular if and only if

where m1 and m2 are the slopes of the lines.

The line y=-1/5 x +2 is wirtten in the slope-intercept form:

from this we notice that its slope is -1/5, then using the relation for perpendicular lines we have that

Solving for m we have that

So, our line passes through the point (1,2) and has an slope equal to 5. Plugging this values on the equation for a line we have

so the equation of the line we were looking for is y=5x-3. (Notice that it is already written in the adequate form).

ANSWER:

a. trial plan

b. basic plan

c. 20 + 8n

d. 12n

STEP-BY-STEP EXPLANATION:

a.

We calculate the price in each case, like this:

Therefore, if you go 4 times a month, the trial plan is better.

b.

We calculate the price in each case, like this:

Therefore, if you go 8 times a month, the basic plan is better.

c.

Let n be the number of times you go per month, the cost expression of basic plan would be:

d.

Let n be the number of times you go per month, the cost expression of the trial plan would be:

The equations are:

x + y = 28 ...............................................(1)

3x + 5y = 100 .........................................(2)

Parameters:

Total questions = 28

Total points = 100

Mulitple choice questions = 3 points each

Short answer quesitons = 5 points

Let x represent the number of multiple choice question, and y be the number of short answer

x + y = 28 ...............................................(1)

3x + 5y = 100 .........................................(2)

In a matrix form, this is:

Solving the above, we have:

So,

Given a quadratic equation of the form:

There's some important facts we could use to determine which options are not correct.

First fact: the y - intercept of the graph is the number c. So, if our graph intercepts at y=1, that means that c=1.

For that reason, option A is not correct, because c=1.

Second fact: the sign of the number "a", will determine the concavity of the graph. This is, in other words:

That means that if "a" is positive, the graph will has the form of the left, and if "a" is negative, it will take the form of the right side.

Based in this, we can see that our graph has the form of the left side, so "a" has to be positive.

For that reason, options A and C are incorrect.

Now we should pick between B or D.

The third fact, is that, when the sign of "b" is negative, our graph seems to be moved to the right.

When the sign of b is positive, the graph seems to be moved to the left.

As you can see, our graph seems to be moved to the right, so the sign of b should be negative.

For these reasons, the appropiate answer is D.

Answer: 08

Step-by-step explanation:

If we raise a number to a power of 2, we can represent the result graphically as shown below (where n is the number to be raised to a power of 2)

This is a square of side equal to n.

Therefore, the answer is option C, squared.

Answer:

Explanation:

The equation o

The equation for the cost y birr in terms of the distance X driven is y = 20 + 2x.

When the car is leased for 5 days, the cost is 100 + 2x.

From the information, the car rental company leases automobiles for a charge of 20 birr / day plus 2birr/km.

The equation for the distance x will be:

= 20 + (2 × x)

= 20 + 2x.

When the car is leased for 5 days, this will be:

= 5(20) + 2x.

= 100 + 2x

= 100 + 2x

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Kenyan = k

$3.50 per pound

Sri Lankan = s

$5.60 per pound

6lbs of blend

$28.35

s+k = 6

3.50k + 5.60s = 28.35

where:

k = lbs of kenyan

s = lbs of Sri Lankan

Solve the system

s+k = 6

3.50k + 5.60s = 28.35

solve the first equation for s:

s = 6-k

Replace in the second equation:

3.50k + 5.60 (6-k) = 28.35

3.50k + 5.60(6)+ 5.60(-k) = 28.35

3.50k + 33.6 - 5.60k = 28.35

3.50k - 5.60k = 28.35-33.6

-2.1k= -5.25

k= -5.25/-2.1

k= 2.5 lbs

Replace k on any equation and solve for s

s+k= 6

s+ 2.5 = 6

s= 6-2.5

s= 3.5 lbs

Note that in the picture we are asked about the angles QRW and RWQ. This two angles are part of the the same triangle. So we can ignore the rest of the image and focus only on the triangle that contains both. We have the following

Using this information, we can see that the measure of the three sides of the triangle are different. This means that the triangle is a scalene triangle. This type of triangles have the property that the measure of each angle is different from the other. So, we know that the measure of angles QRW and RWQ are different.

To dig deeper in the problem, we will use the sines law for triangle, which states the following. If we have a triangle of the form

Then, we have the following

In this case, we have c=45 and a=47, so we have

where A is the angle RWQ and C is the angle QRW, if we multiply both sides by 45, we get

In this case, we have that 45/47 < 1. Since angles A and C are less than 180° degrees, the sine of this angles is a positive number, so we have that

Note also that angles A and C should have a measure less than 90°. Over this interval, the sine function is an increasing function, which means that if sin(C)So we have that the measure of angle QRW is less than the measure of angle RWQ.

The above formula is used to find the distance betweent two points on the coordinate plane

let x1 = -5

let y1 = 8

let x2 = 9

let y2 = -2

inputing the following values in the above equation

Answer

Answer = 1000

Explanation

A power of 10 would be a number that can result from multiplying 10 by itself a number of times.

And from the options, we can see that only

1000 = 10 × 10 × 10

Hope this Helps!!!

The slope is given by:

In thie case we have:

therefore the slope between this points is 1/5.

With the first term being 28 and the difference being 2, this geometric progression is finite because 28 is divided by 14 and then that number is divided by 2 and so on.

What is geometric progression?

A mathematical sequence known as a geometric progression (GP) is one in which each succeeding term is generated by multiplying each preceding term by a fixed number, or "common ratio." This progression is also referred to as a pattern-following geometric sequence of numbers. A geometric progression is a series in which each term can be obtained by multiplying or dividing the term before it by a predetermined amount. Infinite GP sum refers to the total number of terms in an infinite GP. S_ = a/(1 - r), where an is the first term and r is the common ratio, is the formula for calculating the sum of an infinite geometric progression.

Here,

This is geometric progression with first term 28 and difference 2 and this is finite GP as 28 is divided by 14 then 14 is divided by 2 so on as the definition of GP says, "a series of numbers with a fixed ratio between each and the previous one (e.g., each subsequent number is increased by a factor of 3 in the progression 1, 3, 9, 27, 81 )".

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You know that "P" represents her total pay (in dollars) and "N" represents the number of copies of English is Fun Jane sales.

According to the information given in the exercise, Jane makes $110 for every copy of English is Fun, then you can set up the following expression for this:

Knowing that her base salary is $1500, you can conclude that her total pay "P" will be the sum of her base salary and the amount of money she makes for every copy she sells. Based on this, you can write the following equation relateion "P" to "N":

If Jane sales 29 copies of English is Fun, then:

Substituting this value into the equation and evaluating, you get:

The answers

- Equation:

- Solution:

Her total pay if she sells 29 copies of English is Fun, is $4690

We have that there are 549 vehicles in 9 acres, we want to know how many are in 1 acre. We see that those quantities are proportional and therefore:

We will have that there are 61 vehicles in 1 acre.

Explanation:

To find out how many scarfs you can make with 15 balls of yarn we have to divide 15 by 3/5, because with 3/5 you can make 1 scarf:

Answer:

WIth 15 balls of yarn you can make 25 scarfs

Rich will incur interest totaling $1,525.095 throughout the course of the 4.5-year non-payment period.

acc to our question-

Given that he is aware that he has the option to start loan payback in 4.5 years at the current interest rate of 4.29% on a $7,900 loan, the following will apply:

=1525.095

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Solution:

Given:

To simplify, we break the radical down into bits.

Therefore, the simplified form is;

We have 4 x's and 2 "units" in the left side. We know that this is equal or equivalent to one X and 8 units, pictured in the right side.

So we can write the left side as: 4x+2

And the rigth side as: x+8

As both sides are equal, we can write:

The answer is Option D: 4x+2=x+8

We want to translate the figure 1 unit right and 4 units up. This means we are going to add +1 to each x cordinate and +4 to each y cordinate.

To do this, the coordinates of the figure will change as follows:

(-9, -4) = (-9 + 1, -4 + 4) = (-8, 0) (starting point)

(-6, -9) = (-6 + 1, -9 + 4) = (-5, -5)

(-5, -5) = (-5 + 1, -5 + 4) = (-4, -1)

(-1, -5) = (-1 + 1, -5 + 4) = (0, -1)

(-2, -1) = (-2 + 1, -1 + 4) = (-1, 3)

(-9, -4) = (-9 + 1, -4 + 4) = (-8, 0) (ending point)

Now, we have to plot these new cordinates:

The figure has been translated

The function is:

This means that the output of the function is equal to the input. So when the inputs are 1,7,-3 and -5. The outputs will also be 1, 7, -3 and -5.

The total number of green fish are in the aquarium is 18.

T = Total fishes in aquarium.

G = Green fishes

Y = Yellow fishes

Thus, the linear equation for all fishes are-

T = G + Y   ...eq 1

The aquarium has 6 fewer yellow fish than green fish.

G = Y+6   Put in eq 1

T = (Y+6) + Y  

T = 2Y+6

40% of the fish are yellow = 0.4.

Y = 0.4×T  

T = 2×(0.4×T) + 6  

Solve for total fishes

T = 0.8T + 6

0.2T = 6

T = 30

Solve for Green fishes.

G = 0.6×T   (given)

G = 18

Thus, the number of green fish are in the aquarium is 18.

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Answers

False

Explanation

Given vectors:

a = (3, 4, -2)

b = (2, -7 ,1)

c = (-6, 5, 4)

What to find:

The value of a + c x b

Step-by-step solution:

c x b = (-6, 5, 4) x (2, -7, 1)

c x b = (-12, -35, 4)

a = (3, 4, -2)

Therefore, a + c x b = (3, 4, -2) + (-12, -35, 4)

a + c x b = (-9, -32, 2)

Thus, (-9, -32, 2) ≠ (36, 18, 30)

Hence the answer is False

We have the following:

The distributive property of multiplication over addition can be used when multiplying a number by a sum.

Both numerator and denominator have 5 significant figures, then the quotient will have 5 significant figures too.

Answer:

C.

Explanation:

The number of minutes played by Carter is given below:

Hence, C is the correct option