When Alex bought his new car in 2006, it was worth $28,350. In 2015, it was worth a third of its original value. Find the percent of change in the value of the car from 2006 to 2015.

Answer:

344

Step-by-step explanation:

80*4=320

6*4=24

320+24=344

Answer:

∠O ≈ 43°

Step-by-step explanation:

Draw a diagram to help you visualize (see photo below).

Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).

To find ∠O (which is represented by θ in the diagram), use the given sides:

QO = 61 feet

OP = 83 feet

OP is the hypotenuse since it's the longest side.

If ∠O = θ (angle of reference), then side QO is adjacent.

The trig. ratio that uses adjacent and hypotenuse is:

cosθ = adjacent / hypotenuse

Substitute the variables for this question

cosO = QO / OP

Substitute the known values

cosO = 61 feet / 83 feet            Isolate "O"

∠O = cos⁻¹(61/83)                Input into calculator

∠O ≈ 42.69787...°               Exact answer

∠O ≈ 43°               Round to the nearest whole degree

Therefore, the measure of ∠O is 43°.

Please comment below if you have any questions!

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

Answer:

180 − 12x = 60

Step-by-step explanation:

Solutions that lie on the line are -1 and 2.

When y is -2, x is either 0 or 1.

When y is 4, x is either -2 or 3.

The line never goes below -2

The correct answer is  OPTION (A) All solutions that lie on h(x)

The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .

According to the graph ,

Therefore , all solutions lies on h(x)

Learn more about Graph solution below

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Answer:

Step-by-step explanation:

(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)

= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24

{bring the like terms together}

= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v²  - 9v - 48v - 24

= -3v⁴ - 15v³ - 45v² - 57v - 24

HINT:

-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3

                           = -3v²⁺² - 6v²⁺¹ - 3v²

-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)

                            = -9v¹⁺² - 18v¹⁺¹ - 9v

                            = -3v³ - 18v² - 9v

                          = -3v⁴ - 6v³ - 3v²

Answer:

The value of 0 is 62

The expression of 0 is  0 = arcsin (cos (28))

Step-by-step explanation:

Sin(0) = cos(28)

The value of 0 is  90 - 28 = 62 degrees.

The expression of 0 is derived from algebraically solving for 0

0 = arcsin (cos (28))

Answer:

a. 70 square centimeters

Step-by-step explanation:

The area of the composite figure = Area of trapezoid + Area of rectangle

 Area of trapezoid = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex] (12 + 13) × 5

                              = [tex]\frac{1}{2}[/tex] ×125

                              = 62.5

Area of trapezoid is 62.5[tex]cm^{2}[/tex]

Area of rectangle = length ×breadth

                             = 5 × 2

                             = 10 [tex]cm^{2}[/tex]

Area of rectangle is 10[tex]cm^{2}[/tex]

The area of the composite figure = 62.5 + 10

                                                       = 72.5[tex]cm^{2}[/tex]

To 1 significant figure, the area of the composite is 70[tex]cm^{2}[/tex].

Answer:

Step-by-step explanation:

it's really b.  Just did the test and put 70 and got it wrong.

Answer:

78.54

Step-by-step explanation:

V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]

V= 3.14 (25) (1)

V= 78.5

The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.

To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.

For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:

V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.

So, the volume of the cone is approximately 167.47 cm³.

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This question is a little confusing but i will try my best to answer it pls mark me a brainliset if its helpful in anyway.

the 3 sides of the triangles add up 180 degrees

Answer:

Step-by-step explanation:

Its 180 degrees in total if it is an equilateral triangle each corner is 60 degrees, but still add up to 180. All triangles add up to 180 degrees.

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

Answer:

134.0

Step-by-step explanation:

Final answer:

The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.

Explanation:

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * (radius)^3

Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:

Radius = 8ft / 2 = 4ft

Substituting the value of the radius into the formula, we get:

Volume = (2/3) * π * (4ft)^3

Volume ≈ 134.04 ft³ (rounded to the nearest tenth)

Answer:

Step-by-step explanation:

90 degree angle

90 - 50 = 40

Answer:

17x + 94

Step-by-step explanation:

Step 1 : Add 16x and x = 17x

Step 2: Add 22 + 63 + 9 = 94

Because the highest exponent of x goes first

And there's only one x

Then simply add the constant (any number with no x)

17x +94

Answer:

0,125%

Step-by-step explanation:

100% - 803

x% - 1

1x100/803

Answer:

80300

Step-by-step explanation:

Answer:

Step-by-step explanation:

raise your hand

Answer:

9. I believe is J

10. G just remember the per, the each, and every always represents x

11. x = -3

12.  b = 20

Here's a hint for 11 and 12 always combine like terms

           Hope this help message me if needed

Answer:

14%

Step-by-step explanation:

5.60 / 40 = 0.14

0.14 x 100 = 14

Mr. Webb left a 14% tip.

Answer:

14%.

Step-by-step explanation:

You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%

Answer:

Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6 multiplied by 6 is 36.

Answer:

6

Step-by-step explanation:

When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.

6x=36

Divide both sides by 6

x=6

hope that helped.

Answer:

47.5

Step-by-step explanation:

Add the bases. 8+11=19

Multiply 19 by 5 then divide to get 47.5

Answer:

[tex]47.5 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{11 + 8}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 47.5 {cm}^{2} [/tex]

Answer:

1/2

Step-by-step explanation:

4/5 - 3/10

Lcm would be 10

[(4×2) - 3]/10

(8 - 3)/10

5/10

1/2

Answer:

27

Step-by-step explanation:

Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.

Hope this helped :)

The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.

To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:

f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27

Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.

Answer:

Step-by-step explanation:

hello :

y=2x+b the same as y=2x

y=2x means : y=2x+0    so : b=0

Answer:

3

Step-by-step explanation:

3x3=9

Answer: -90-27v

Step-by-step explanation:

N A

Answer:

-90-27v

Step-by-step explanation:

9(-10-4v)+9v

-90 - 36v + 9v

-90 - 27v

Answer:

Probability that she walks or cycle to school on any day and not be late is 0.705

Step-by-step explanation:

Part A

P(she walks to school) = 0.65  

P(she will be late) = 0.4

P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6

Part B

P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35

P(she will be late) = 0.1

P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9

Thus, probability that she walks or cycle to school and not be late =

P(walks: not late) + P(cycle: not late)

= (0.65 x 0.6) + (0.35 x 0.9)

= 0.39 + 0.315

= 0.705

Therefore, probability that she walks or cycle to school on any day and not be late is 0.705

Answer:

The coordinates of b are (-7, -8)

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

Answer:

Even if a person doesn't show symptoms, they can still have it.

Step-by-step explanation:

That's the problem.

Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.

Answer:

Getting infected

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

A on edg

The solution to the quadratic equation is x = -4

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + 8x = x² - 16

Subtracting x² on both sides , we get

x² + 8x = -16

Adding 16 on both sides , we get

x² + 8x + 16 = 0

On simplifying the equation , we get

( x + 4 )² = 0

Taking square roots on both sides , we get

x + 4 = 0

Subtracting 4 on both sides , we get

x = -4

Therefore , the value of x is -4

Hence , the solution is x = -4

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