The following chart shows a store’s coat sales for two years. Identify the percent increase in total sales and the percent increase in sales of jackets. Then find which percent of increase is greater and by how much greater it is than the other. (Round your answer to the nearest tenth.) a. Sales of jackets increased 3.6 percentage points faster than total coat sales. b. Sales of jackets increased 18.8 percentage points faster than total coat sales. c. Total coat sales increased 8.1 percentage points faster than sales of jackets. d. Total coat sales increased 24.5 percentage points faster than sales of jackets. Please select the best answer from the choices provided A B C D

Answer:

C < $75.

Step-by-step explanation:

Let C be the charge of a window cleaning service, that cleans all the windows of the house.

Since it charges less than $75. this means

C < $75.

So, this is the required inequality equation.

Because the number increase by a percentage this is an exponential growth problem.

The equation for exponential growth is :

Total = start value x ( 1 + percent) ^ time

Using the information from the problem:

2011-2005 = 6 years.

Total = 23 x (1 + 0.72)^6

Total = 23x 1.72^6

Total = 595.52 = 596 total people

Answer: Check out the diagram below

The reflected image is shown in red.

=================================================

Explanation:

Draw a vertical line through -2 on the x axis. This is the mirror line.

Now focus on the upper right corner of the figure, which is at (-3, -1). Notice how the horizontal distance from this corner point to the mirror line is exactly 1 unit. If we move another 1 unit to the right, then we'll arrive at (-1,-1) which is where the reflected point lands or ends up.

In short, the upper right corner point (-3,-1) reflects over x = -2 to land on (-1,-1)

----------------------

As another example, the upper left corner point (-5, -1) will move exactly 4 spaces to the right to get to the mirror line. Then we move another 4 spaces to the right to get to (2,-1).

So the upper left corner (-5,-1) will ultimately move to (2,-1) after the reflection over x = -2.

Apply these steps to the other corner points and you'll end up with what is shown below.

Take note that a point like A(-5,-1) moves to A'(1,-1), and similar to the other points as well. Also, notice that when going from A to B to C, etc we are moving clockwise. We move counterclockwise when going from A' to B' to C' etc. Reflections always swap the orientation.

Transformation involves changing the position of a shape.

The coordinates of the image are:

[tex]\mathbf{A '= (1,1)}[/tex]      [tex]\mathbf{B' = (-1,-1)}[/tex]     [tex]\mathbf{C' = (-1,-4)}[/tex]     [tex]\mathbf{D' = (0,-4)}[/tex]

[tex]\mathbf{E' = (0,-3)}[/tex]      [tex]\mathbf{F = (1,-3)}[/tex]

The vertices of the shape are:

[tex]\mathbf{A = (-5,-1)}[/tex]

[tex]\mathbf{B = (-3,-1)}[/tex]

[tex]\mathbf{C = (-3,-4)}[/tex]

[tex]\mathbf{D = (-4,-4)}[/tex]

[tex]\mathbf{E = (-4,-3)}[/tex]

[tex]\mathbf{F = (-5,-3)}[/tex]

The rule of reflection across line x =-2 is:

[tex]\mathbf{(x,y)=(-x -4,y)}[/tex]

So, we have:

[tex]\mathbf{A '= (5 - 4,-1) = (1,-1)}[/tex]

[tex]\mathbf{B' = (3-4,-1) = (-1,-1)}[/tex]

[tex]\mathbf{C' = (3-4,-4) = (-1,-4)}[/tex]

[tex]\mathbf{D' = (4-4,-4) = (0,-4)}[/tex]

[tex]\mathbf{E' = (4-4,-3) = (0,-3)}[/tex]

[tex]\mathbf{F = (5-4,-3) = (1,-3)}[/tex]

So, the coordinates of the image are:

[tex]\mathbf{A '= (1,-1)}[/tex]

[tex]\mathbf{B' = (-1,-1)}[/tex]

[tex]\mathbf{C' = (-1,-4)}[/tex]

[tex]\mathbf{D' = (0,-4)}[/tex]

[tex]\mathbf{E' = (0,-3)}[/tex]

[tex]\mathbf{F = (1,-3)}[/tex]

See attachment for the image of the transformations

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Answer:

Step-by-step explanation:

Answer:

m ≥-6

Step-by-step explanation:

that is the procedure

x is the unknown remaining edge of the base.

Using Pythagoras theorem in the base, we have:

[tex]8 {}^{2} + x {}^{2} = 10 {}^{2} [/tex]

[tex] = > \: x = \sqrt{10 {}^{2} - 8 {}^{2} } = 6[/tex]

with x = 6, the perimeter of the base is 10 + 8 + 6 = 24

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]6p-5=13[/tex]

     [tex]+5[/tex]     [tex]+5[/tex]

[tex]6p=18[/tex]

[tex]/6[/tex]      [tex]/6[/tex]

[tex]p=3[/tex]

Answer:

d

Step-by-step explanation:

Answer:

The product of two and any nonzero integer is always an even number.

Step-by-step explanation:

Example:

2 * 17 = 34

2 * 15 = 30

2 * 30 = 60

All of these are even numbers.

The product of two and any nonzero integer is always an even integer.

"It is a natural number numbers along with zero and negatives."

Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .

"An integer which is divisible by 2."

For given example,

Let a = 2 and 'b' be any nonzero integer.

Case 1: 'b' is positive even integer

Let b = 4

⇒ a × b = 2 × 4

⇒ a × b = 8, which is an even integer.

Case 2: 'b' is negative even integer

Let b = -8

⇒ a × b = 2 × (-8)

⇒ a × b = -16, which is an even integer.

Case 3: 'b' is positive odd integer

Let, b = 9

⇒ a × b = 2 × 9

⇒ a × b = 18, which is an even integer.

Case 4: 'b' is negative odd integer

Let, b = -3

⇒ a × b = 2 × (-3)

⇒ a × b = -6, which is an even integer.

From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.

Therefore, the product of two and any nonzero integer is always an even integer.

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Answer:

50th term = 16

Step-by-step explanation:

Answer:

12 I think

I'm not sure

Byeee

Answer:

the first second and third option are binomials

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

0.46

Step-by-step explanation:

23÷50= 0.46

.

.

.

.

.

.

Answer:

12.8 units

Step-by-step explanation:

PQ=(X2-X1)²+(Y2-Y1)²

=(7-(-1))²+(3-(-7)

=164

then find square root of 164 that gives you 12.8units

0.167 I believe!

<3

I'm sure you'll do great!

Answer:

0.167(rounded 3dp)

Step-by-step explanation:

100/6=16.6666...

[tex]\frac{16.666}{100}[/tex]= [tex]\frac{1}{6}[/tex]

[tex]\frac{16.666}{100}=(into decimal)0.167[/tex]

Answer:

x= 2.67

y= 7

Step-by-step explanation:

I want you to know that I might be wrong.

I times 3 and 2.67 which gave me 8.

3 * 2.67 equals= 8.01

I added 8.01 to 7 which gave me 15.

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

Answer:

Step-by-step explanation:

angle 2 is 75 degree because angle 2 and 75 dgeree are corresponding angles corresponding angles are always equal.

angle 1 + angle 2 = 180 degree (being linear pair)

angle 1 = 180 - 75

angle 1 = 105 degree

∠1 = 105° and ∠2 = 75°

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a line that passes through two lines in the same plane at two distinct points."

"The angles which are formed in matching corners or corresponding corners with the transversal when the transversal intersects two parallel lines."

For given question,

Line c and line d are parallel lines.

These parallel lines are intersected by a transversal.

We can observe that ∠2 and the angle that measures 75° are corresponding angles.

We know that the corresponding angles are congruent.

⇒ ∠2 = 75°

Also, the sum of all angles on either side of the line is 180°

⇒ ∠1 + ∠2 = 180°

⇒ ∠1 + 75° = 180°

⇒ ∠1 = 105°

Therefore, ∠1 = 105° and ∠2 = 75°

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Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

Answer:

option B

Step-by-step explanation:

[tex]\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )[/tex]

                    [tex]= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty[/tex]

[tex]\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\[/tex]

                 [tex]= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3[/tex]

[tex]\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\[/tex]  [tex]\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty[/tex]

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

Answer:

x = 1   ,or   x = -7

Obviously, the true answer is not in the options given.

Step-by-step explanation:

x² + 6x - 6 = 10

The above equation can not be factorized, hence the use of Almighty Formula.

x = [-b +- √b² - 4ac] / 2a

Where a = 1, b = 6, c = -6

x = [-6 +- √6² - (4*1*-6)] / 2*1

x = [-6 +- √36 - (-24)] / 2

x = [-6 +- √36 + 24] / 2

x = [-6 +- √60] / 2

x = [-6 +- 7.75] / 2

x = [-6 + 7.75] / 2   ,or   x = [-6 - 7.75] / 2

x = 1.75/2   ,or   x = -13.75/2

x = 0.875   ,or   x = -6.875

Approximately

x = 1   ,or   x = -7

Answer:

x=In2+1

Step-by-step explanation:

3+4ex+1-3=11-3

0+4ex+1=8

4ex+1=8

Answer:

5.25

Step-by-step explanation:

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

Answer:

x=3

Step-by-step explanation:

5x-1=3x+5(opposite sides of a parallelogram is equal)

5x-3x=5+1

2x=6

x=6/2

x=3

therefore the value of x is 3

Answer:

Step-by-step explanation:

So in a parrelelagram, we know that the top and bottom side are equivelent in length.

This is the same with the left and ride side as well.

So knowing this, we can solve x by setting up this equation:

5x-1=3x+5

This works because we know both sides are equvlent, but have different x values and number values.

Lets start solving:

5x-1=3x+5

First lets move all the numbers to one side:

5x=3x+6

Now lers get the variable to one side:

2x=6

Now divide both sides to get x alone"

x=3

This is your answer!

Hope this helps!