Please answer fast! (100 points)

The number of numbers which are a units away from 0, if a>0 is; 2 numbers

According to the questions;

The given premises is that a>0.

Hence, it follows that, the numbers which are a units away from 0 on the number line are;

Ultimately, only two numbers; +a and -a are a units away from 0.

Read more on number line;

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Answer:

2 numbers

Step-by-step explanation:

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

[tex]FV=P\left(1-\dfrac{r}{100}\right)^n[/tex]

Here, (P) is the price of the product, (r) is the rate of annual depreciation and (n) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is [tex]n_1[/tex]. Thus, by the above formula for the first car,

[tex]0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}[/tex]

Take log both the sides as,

[tex]\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85[/tex]

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is [tex]n_2[/tex]. Thus, by the above formula for the second car,

[tex]0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}[/tex]

Take log both the sides as,

[tex]\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14[/tex]

The difference in the ages of the two cars is,

[tex]d=4.85-3.14\\d=1.71\rm years[/tex]

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

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[tex]\sqrt[3]{102} = 4.672\\6.5\\\frac{69}{25} =2.76\\\sqrt{102} = 10.0995[/tex]

Thus the numbers from greatest to least is

    [tex]\sqrt{102}, 6\frac{1}{2} ,\sqrt[3]{102} , \frac{69}{25}[/tex]

Hope that helps!

Answer:

[tex]\sqrt{102} > 6\frac{1}{2} > \sqrt[\frac{1}{3}]{102} > \frac{69}{25}[/tex]

Step-by-step explanation:

[tex]4 < \sqrt[3]{102} < 5[/tex]          [tex]\left\{\sqrt{64}=4,\sqrt[7]{125}=5\right\}[/tex]

[tex]6\frac{1}{2}=6.5[/tex]

[tex]\frac{69}{25}=2.76[/tex]

[tex]10 < \sqrt{102} < 11[/tex]          [tex]\left\{\sqrt{100}=10\sqrt{121}=11\right\}[/tex]

So from greater to least:

[tex]\sqrt{102} > 6\frac{1}{2} > \sqrt[\frac{1}{3}]{102} > \frac{69}{25}[/tex]

I hope this helps you

:)

Answer: I think the answer is 3

Step-by-step explanation:

Answer: Supplementary angles

Step-by-step explanation:

Bye have a nice day.

Answer:

does this help answer your question? Answer: They are supplementary angles, because angle 1 + angle 2 = 180° , i.e. they form a line.

Step-by-step explanation:

I would suggest that you memorize these -

    1. Complementary angles always =90°

For example, 30 degrees and 60 degrees are complementary angles.

    2. Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way. (share a side)

    3. Supplementary angles are those that in sum give 180°.

    4. Vertical angels ---- each of the pairs of opposite angles made by two intersecting lines.

So, what have you learned? You learned that complementary angles are two angles that add up to 90 degrees, supplementary angles are two angles that add up to 180 degrees, vertical angles are opposite angles at an intersection of two straight lines, and adjacent angles are two angles that are next to each other.

Answer:

Step-by-step explanation:

9x^2 - 64 = (3x - 8)(3x + 8)

3x - 8 is a factor

Answer:

you have to × 3.14 to 10cm

=3.14×10cm

after you will get your answer correctly

Answer:

The correct answer is A. the data is skewed to the right, so you have the correct answer chosen already...

Step-by-step explanation:

btw thanks for making this worth more points have a wonderful day!

Answer:

The data is skewed to right already

Step-by-step explanation:

Answer:

(-2,4)

Step-by-step explanation:

D (5,4) ---> D(5-7,4) --> D(-2,4)

Answer:

69.0

Step-by-step explanation:

So basically you just solve for it and das it. Now make me a sandwich

Answer:

8 to 7

Step-by-step explanation:

5/7 to 5/8 = 40/56 to 35/56

We then have:

5/7 to 5/8 = 40 to 35

Now...

40 to 35 = 8 to 7

P.S: These colons ':' mean the same as 'to' in ratios

The relationship between the angles depend on their relative positions.

Response:

The possible drawing in the question created based on the relationship between the angles is attached.

∠a and ∠c;

∠a and ∠b

∠b and ∠h

∠f and 55°

∠a and ∠e

Learn more about different types of angles here:

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Answer: 5

Step-by-step explanation:

Setting them equal (since both are equal to f(x)), we get:

-5x+8 = -17

-5x=-25

x=5

Answer:

u get 59.08 divide by 52 multiply by 100% u get da answer

Answer:

It take her 25 weeks

Step-by-step explanation:

2÷50

Answer:

5x + 2y = 9

Step-by-step explanation:

Find the slope of the line that is perpendicular to 2x - 5y = 7 :

m= [tex]\frac{-5}{2}[/tex]

Find the y - intercept of the function:

b = [tex]\frac{9}{2}[/tex]

substitute m= [tex]\frac{-5}{2}[/tex] and b = [tex]\frac{9}{2}[/tex] into y = mx + b :

y =  [tex]\frac{-5x}{2}[/tex] +  [tex]\frac{9}{2}[/tex]

y = 5x + 2y = 9

Answer:

7.6

Step-by-step explanation:

area of triangle=1/2(bxh)

make equation

11.02=1/2(2.9b)

solve

22.04=2.9b

7.6=b

Answer:

The answer is c hopes this helps

Answer:

Your answer is 8 1/2

Step-by-step explanation:

Hope this helps, love <3

Answer:

A

Step-by-step explanation:

Your answer is A...Because 7 to 6=1

7 to 6=1

7 to 5=2

7 to 4=3

7 to 3=4

7 to 2=5

And to 1.5 isn is 0.5 so 5.5 also known as 5 1/2

Or 55%

Hope it helps have a great afternoon

Answer:

A, C, and D

Step-by-step explanation:

Graph both equations on Desmos or a graphing utility. Make sure you have entered the inequality correctly. You see an area with both red and blue shaded. The area with both colors is where the solutions are. Looking at the graph, A, C and D are in the double shaded region.

Answer:

Step-by-step explanation:

The negative leading coefficient tells you this parabola opens downward, so the vertex will be a maximum. The constant is the y-intercept, which is 58.

__

The vertex is nicely found using a graphing calculator, but can also be found algebraically. The x-value is ...

  x = -b/(2a) = -19.8/(2·(-4.9)) = 19.8/9.8 = 99/49 ≈ 2.02041

The value of f(99/49) is ...

  f(99/49) = (-4.9(99/49) +19.8)(99/49) +58 = (9.9)(99/49) +58 ≈ 78.002

The location of the vertex is approximately ...

  (x, y) ≈ (2.0204, 78.002) ≈ (2, 78)

It should be noted that a polygon is a flat two dimensional closed shape that has straight sides.

Your information is incomplete. Therefore, an overview of a polygon will be given.

A polygon simply means a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.

In this case, the length of a line segment can be measured by simply measuring the distance between the two endpoints.

It's simply the path between two points that has a definite length that can be measured.

Examples of polygon include triangles, quadrilateral, pentagon, etc.

Learn more about polygon on:

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Answer:

Step-by-step explanation:

A = bh

B = 7

H=10

7x10 =70m

Answer:

1/36) = 0.0277777777778

(1/108)^3 = 7.9383224102 x 10^-7

(1/9)^4 = 0.000152415790276

(1/6)^2 = 0.0277777777778

(1/2)^5 = 0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2