Write the equation for a line parallel to y=-x + 7 that
passes through (7,-2).

Pls help!! Asap

The expression that is equivalent to the perimeter of the rectangle in the image shown is, 6x + 8.

To find the perimeter of a rectangle, add all the four sides of the rectangle. The following formula can be used:

Perimeter (P) = 2(length + width).

In the rectangle shown below, the dimensions are:

Length of rectangle = 2x + 3

Width of rectangle = x + 1

Substitute into the perimeter each expression of the dimensions:

Perimeter = 2[(2x + 3) + (x + 1)]

Open the parentheses by applying the distributive property of equality:

Perimeter = 2(2x + 3 + x + 1)

= 2(3x + 4)

= 2(3x) +2(4)

= 6x + 8

Therefore, the expression is, 6x + 8.

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The number of volunteers recruited for the first 5 weeks is; 486 people

A geometric sequence is defined as a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.

The nth term of a geometric sequence is given by:

aₙ = a₁rⁿ⁻¹

where;

a₁ is the first term

r is the common ratio

In this question, on the first week there are 6 people, and since each new people involve three more, the common ratio is 3, hence the parameters for the geometric sequence are:

a₁ = 6

r = 3

Hence the number of people after n weeks is:

aₙ = 6(3)ⁿ⁻¹

Thus, the number of volunteers recruited for the first 5 weeks is;

a₅ = 6(3)⁵⁻¹

a₅ = 6 * 3⁴

a₅ = 486

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Answer:

The unit rate in cost per roll is $0.83 per roll.

what is unit rate? how to calculate unit rate of cost?

Unit rate is a type of ratio that compares the quantity of two different types of units. It is calculated by dividing the cost of a given quantity of an item by the number of units in that quantity. For example, if a bag of apples costs $4 and there are 5 apples in the bag, the unit rate of cost for the apples is $0.80 per apple ($4/5= $0.80). Another example would be if a carton of eggs costs $2.50 and there are 10 eggs in the carton, the unit rate of cost for the eggs would be $0.25 per egg ($2.50/10 = $0.25). Unit rate is a useful tool for understanding the cost of items, especially when comparing items of different sizes or quantities. It can also be used to calculate the cost of a certain number of items, as long as the unit rate is known.

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Answer:

x + x - x = x

explanation:

give us the actual formula lol

The decimal point is to be placed three places to the left.

What are decimal numbers?

When we divide a whole number into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.

Given that, in the question, the product of a decimal number between 350 and 400 and 0.48 results in the numbers 182136. As 0.48 is just 48/100, let's take a decimal number between 350 and 400.

If the number is 370.1, for example, we can write it as 3701/10 because it has one decimal point.

Our denominator will be 1000, because both the denominators are 100 and 10, which is equivalent three decimal places to the left of the result when we multiply 48/100 by 3701/10.

The result provided to us should therefore be written as 182.136, with the decimal point moved three spaces to the left.

The decimal point is to be placed three places to the left.

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Answer:

cosβ = -1/2

Step-by-step explanation:

Since cos2β = 3/4 and β is in quadrant III, the value of cosβ must be negative. We can find the exact value of cosβ by using the identity cos2β = 2cos^2β - 1. Substituting 3/4 for cos2β and solving for cosβ, we get:

3/4 = 2cos^2β - 1

cos^2β = 1/4

cosβ = 1/2 or -1/2

Since cosβ is negative in quadrant III, the value of cosβ is -1/2. Thus, the answer is cosβ = -1/2.

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The value of the x would be 9.

Option (A) is correct.

What is a complementary angle?

A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.

Angle JKM and angle MKN are complementary angles

so

   (3x + 2) + (6x + 7) = 90

  9x + 9 = 90

  9(x + 1) = 90

     x + 1 = 10

    x = 9

Hence, the value of the x would be 9.

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After solving the equation the value of the x would be 9. Therefore, the correct option is A.

What is a complementary angle?

A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.

Angle JKM and angle MKN are complementary angles

so   (3x + 2) + (6x + 7) = 90

 9x + 9 = 90

 9(x + 1) = 90

    x + 1 = 10

   x = 9

Hence, the value of the x would be 9.

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The total area of the two lawns is 200 ft²

Area is the region occupied by an object.

Since Anton mows two lawns. The first lawn is 8 feet long and 5 feet wide. The second lawn has the same length, and width that is 4 times the first one, since the lawns are rectangles, their area is the area of a rectangle.

The area of a rectangle is given by

A = LW where

Given that for the first lawn it is 8 feet long and 5 feet wide, we have that

So, its area A = LW

= 8 ft × 5 ft

= 40 ft²

Also, for the second lawn, the same length, and width that is 4 times the first one. So, we have that

So, its area A' = L'W'

= 8 ft × 20 ft

= 160 ft²

So, the total area of the two lawns is A" = A + A'

=  40 ft² +  160 ft²

=  200 ft²

So, the total area is  200 ft²

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By evaluating a revenue equation, we will see that she earned $139 last week.

We know that Isha is a pet sitter, and she earns $5 for each cat and $12 for each dog.

So, if she pet sats for x cats and y dogs, the revenue will be:

R(x, y) = $5*x + $12*y

In this case we know that she pet sat for 11 cats and 7 dogs, then we have:

x = 11

y = 7

So we need to evaluate the above revenue function, we will get:

R(11, 7) = $5*11 + $12*7

R(11, 7) = $55 + $84

R(11, 7) = $139

Isha earned $139 last week.

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Answer: <D, < E, <C

Step-by-step explanation:

Answer: $71.53

Step-by-step explanation:

77.76 = 100%

Answer:

D

Step-by-step explanation:

(7+-6)/2

(7-6)/2

1/2

(-6+(-8)/2

(-6-8)/2

-14/2

-7

(.5,-7)

It will take 38 weeks a student to save enough money for the ticket.

Mathematical operations come in several types, with division being one. The phrases or numbers are divided into the same number of components during this operation.

Given,

a student must save at least $675 plus 3% tax to buy a round-trip ticket to London.

3% of 675

= 3 x 675 / 100

= 20.25

The student has $98 saved already.

Now student needs ($675 - $98) + 20.25 = $577 + 20.25

= $597.25

If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost.

That means, $32 / 2 = $16 per week.

To find the amount of enough money:

Divide $597.25 by $16.

597.25 /16

= 37.328125

≈ 38 weeks

Therefore, student will save for 38 weeks.

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Answer:

Step-by-step explanation:

Let's call the four integers x, y, z, and w. We know that the mean of these four integers is 8, so:

x + y + z + w = 8 * 4 = 32

We also know that the median of these four integers is 6, which means that two of the integers are less than 6 and two are greater than 6. The mode of 6 means that one of the integers is 6.

Let's assume that x and y are the two integers that are less than 6. This means that z and w are the two integers that are greater than 6. We can then set up the following system of equations to represent this information:

x + y + z + w = 32

x + y < 12

z + w > 12

We also know that the range of these four integers is 14, which is the difference between the largest and smallest integers. Since z and w are the two largest integers, the range is equal to w - x. We can set up another equation to represent this information:

w - x = 14

We can solve this system of equations using substitution. First, we can solve the second equation for x:

x = 12 - y

We can then substitute this expression for x in the third equation to get:

w - (12 - y) = 14

w = 14 + y

Finally, we can substitute this expression for w in the first equation to get:

x + y + z + (14 + y) = 32

x + 2y + z = 18

We can then substitute the expression for x in the third equation to get:

(12 - y) + 2y + z = 18

-y + 2y + z = 18

z = 18 - y

We can then substitute this expression for z in the third equation to get:

w = 14 + y = 14 + (18 - z) = 14 + 18 - y = 32 - y

Substituting this expression for w in the first equation gives us:

x + y + z + (32 - y) = 32

x + 2y + z = 32

We can then substitute the expressions for x and z in the third equation to get:

(12 - y) + 2y + (18 - y) = 32

-y + 2y + 18 - y = 32

18 = 32

This equation is clearly not true, so the original assumptions we made about which integers were less than 6 and which were greater than 6 must be incorrect.

However, we can use a similar process to solve for the other possibility: that x and z are the two integers that are less than 6, and y and w are the two integers that are greater than 6.

In this case, we can set up the following system of equations:

x + y + z + w = 32

x + z < 12

y + w > 12

w - x = 14

Solving this system of equations using substitution gives us the solution x = 4, y = 10, z = 6, and w = 8.

Therefore, the four integers are 4, 6, 8, and 10.

Answer:

The mistake was made when we rewrote the equation wrong after dividing 2 to both sides

Step-by-step explanation:

After we divide two on both sides the equation should have been rewriting as   [tex]2x-20=-6[/tex]     not       [tex]6x-20=-12[/tex]

Dimensions of the Rectangle are : 16 feet by 13 feet .

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal . A rectangle has two dimensions. we can measure its length and, perpendicular to that, its width.

Rectangle is 3 feet longer than it is wide and its area is 208 sq-feet .

Area of Rectangle = l×b  ( Where l = length , b = breadth )

Therefore , Let X be the the width of rectangle . then from given it's length is (X+3).

∴ X × (X+3) = 208

∴ [tex]x^{2}[/tex]+3X-208 = 0

(X+16)(X-13) = 0

X = -16 & X = 13

Distance can't be negative so Width = X = 13 feet.

∴ Length = X+3 = 16 feet.

Thus the Dimensions are 16 feet by 13 feet .

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1. f(x) - cubic function -- polynomial , g(x) - linear function

similar

The function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 4

x - intercepts = -2.68

Function g(x)

Domain: x > 0

Range: -4 < y < ∞

y - intercept = -4

x - intercepts = none

By comparing the key features above, we can conclude that the common features in both functions are their range

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the area of the generic rectangle will be x²-2x-15.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

Area of rectangle is A = a*b

(x + 3)(x - 5) in a generic rectangle

The product will give the area

x²-2x-15

hence the area of the generic rectangle will be x²-2x-15.

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Answer:

3(4) - 2 is 10 the value is 10

5(2) + 6 is 16 the value is 16

I hope this helps have a good day or night!

Answer:

The possible coordinates of point A are (-3, 8) and (-3, -4).

Step-by-step explanation:

We can find the possible coordinates of point A by using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of (x2-x1)^2 + (y2-y1)^2. We know that the x-coordinate of point A is -3 and the distance between point A and point B is 10 units. We can use this information to solve for the y-coordinate of point A:

Copy code

d = sqrt((x2-x1)^2 + (y2-y1)^2)

d = sqrt((5-(-3))^2 + (2-y1)^2)

d = sqrt(8^2 + (2-y1)^2)

d = sqrt(64 + (2-y1)^2)

d = sqrt(64 + (y1-2)^2)

d = 10

sqrt(64 + (y1-2)^2) = 10

64 + (y1-2)^2 = 100

(y1-2)^2 = 36

y1-2 = +/- 6

y1 = 8 or -4

Therefore, the possible coordinates of point A are (-3, 8) and (-3, -4).

The square root of 15 is approximately 4.

To approximate the square root of 15, we can find the perfect squares that are closest to 15. The perfect squares that are closest to 15 are 9 and 16. Since 15 is closer to 16, we can say that the square root of 15 is slightly less than 4.

Another approach could be:

The square root of 15 is approximately 3.87. Rounding to the nearest integer gives us 4. To round a number, we look at the number following the place value we are rounding to. If it is greater than or equal to 5, we round up. If it is less than 5, we round down. In this case, the digit following the ones place is 8, which is greater than 5, so we round up to 4.

The statement "In a symmetric distribution, the first quartile will always equal the third quartile" is true

The given statement is "In a symmetric distribution, the first quartile will always equal the third quartile"

The symmetric distribution is defined as the distribution that occurs when the values of variables appear at regular frequencies. Usually the mean, mode and the median all are same point in the symmetric distribution.

In the symmetric distribution the left side of the graph will be the mirror image of the right hand side of the graph. So the first quartile will always equal the third quartile.

Therefore, the given statement is true

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Answer: 59

Step-by-step explanation:

Answer:

management accountant prepared a decision model which solve sell at split off or process

further decision problem. Which function did he provided?

A. Scorekeeping function C) Problem solving function

B. Attention directing function. D) Record keeping function E) None

Answer:

x ≥ 72/5

8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5

8.6 ≤ x -29/5= x ≥ 72/5

Answer:

-2

Step-by-step explanation:

Given,

g(x) = f(4)

or, 2 - 4x = 3*4 - 2

or, 2 - 4x = 10

or, 2 - 10 = 4x

or, -8 = 4x

or, x = -2

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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After solving the equation the length of AB is [tex]2\sqrt{3}[/tex]

What do you mean by trigonometry?

Trigonometry  “triangle” and  “measure”) is a branch of mathematics that studies the relationship between the side lengths and angles of triangles.

A trigonometric ratio is the ratio between the edges of a right triangle.

The sine function (sin) defined as the ratio of the opposite side of the angle to the hypotenuse.

In the given triangle ABC , use sin ratio to find AB.

tan θ = P/B

tan 30 = AB/6

[tex]\frac{1}{\sqrt{3} } =AB/6[/tex]

AB = [tex]\frac{6}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }\times \frac{\sqrt{3}}{\sqrt{3}}= \frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]

Therefore, length of AB is [tex]2\sqrt{3}[/tex]

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