1. DEPRECIATION The value of a new plasma
television depreciates by about 7% each year. Aeryn
purchases a 50-inch plasma television for $3000.
What is its value after 4 years? Round your answer to
the nearest hundred.
​

Answer:

4.4721

Step-by-step explanation:

Answer:

The correct answer option is y = -4.

Step-by-step explanation:

We are to find the equation of the mid-line for the following function:

[tex]y=3cos(x-\pi)-4[/tex]

[tex]3 cos((x - \pi ) - 4 = 3 cos(x) - 4[/tex] because [tex]cos(x-\pi) = cos(x)[/tex]

[tex]-1 \leq cos(x) \leq 1[/tex]

[tex]-3 \leq 3cos(x) \leq 3[/tex]

[tex]-3-4 \leq 3 cos(x)-4 \leq 3-4[/tex]

[tex]-7 \leq 3 cos(x)\leq-1[/tex]

The range is -7 to -1 so the midpoint is [tex]\frac{-7-1}{2} =-4[/tex]

Therefore, the equation of the mid-line for the given function is y = -4.

Equation of Area of Triangle = 1/2 x b x h

Find the base by counting the boxes across the bottom.

Find the height by counting the boxes from the base (bottom) to highest point on the triangle.

Insert those numbers into the equation and you get your answer.

To find the area of a triangle on a coordinate plane, you can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

To find the area of a triangle on a coordinate plane, we can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

For example, if the coordinates of the vertices are (x1, y1), (x2, y2), and (x3, y3), we can find the length of the base by calculating the distance between (x1, y1) and (x2, y2). Then, we can find the height by calculating the distance between (x3, y3) and the line containing the base. Finally, we substitute the values of the base and height into the formula to find the area.

Suppose the coordinates of the triangle are (1, 2), (4, 6), and (7, 2). We can find the base and height as follows:

Now, substitute the values into the formula: Area = 1/2 * base * height = 1/2 * 5 * 2 = 5 units^2. Therefore, the area of the triangle is 5 square units.

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Answer:

1. 31/99 2. 215/999 3. 6704/9999

Answer:

31/100, 215/100, 419/1250

Hi, hope you’re having a good day!

Could you please add the picture?

Thanks, have a good day! ❤️❤️

The picture is not shown, if you could add it, I would be happy and try and answer as best I can! Have a good day! :)

Answer:

2.150 = 2.15

2 +15/10 > 2.15

2 + 0.015 < 2.15

215/100 = 2.15

Step-by-step explanation:

2.150 = 2.15, because 2.15 can be rewritten as 2.150.

2 +15/10=2+1.5=3.5

2 +15/10 > 2.15

3.5 > 2.15

2 + 0.015 < 2.15

2.015 < 2.15

215/100 = 2.15

2.15 = 2.15

Answer:

1 =

2 >

3 i no sured but is <

4 =

Step-by-step explanation:

Answer:

Second option

Third option

Last option

Step-by-step explanation:

You have the expression [tex]3x - 12 - 2(x + 12)[/tex], you can find the following equivalent expressions:

Apply Distributive property:

[tex]3x - 12 - 2x -24[/tex]

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2x -24[/tex] (Second option)

Apply Distributive property and then add the like terms:

[tex]=3x - 12 - 2x - 24[/tex]

[tex]=x-36[/tex] (Last option)

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2(x + 12)[/tex] (Third option)

Answer:

x

2

−

4

x

−

12

Step-by-step explanation:

Answer:

A. 10 fluid ounces

Step-by-step explanation:

One fluid ounce is equal to one quart. This means she had 64 fluid ounces in her jug. She poured 6 3/4 fluid ounces in 8 mugs, so you would multiply 6 3/4 by 8 to get 54. Now you go back to the original amount, 64, and subtract 54 from that. 64 minus 54 equals 10. I hope this helped!

Answer:

100

Step-by-step explanation:

Write the numbers in increasing order:

45, 58, 70, 100, 450, 600, 805

Now, pick the middle number.

The median is 100.

Answer:

100

Step-by-step explanation:

Set the set in order first,

45, 58, 70, 100, 450, 600, 805

Now clear each side by one step after another

45, 58, 70, 100, 450, 600, 805

     58, 70, 100, 450, 600

           70, 100, 450

                 100

Hope this helps

for b it should be 9 serving can be made

and for c it should be 1.5 Cups of orange juice

Answer:

First of all a is wrong bc you would have 148 cups of Punch you only need 108 so that will make it

B.

c.for every 4.5 cup you have 4.5 cup of OJ

Step-by-step explanation:

fix it and i can help cheif

Answer:71.4

Step-by-step explanation:140*51%

The answer is 71.4 because 51% =.51 and .51•140= 71.4

Answer:

191

Step-by-step explanation:

26 x 7= 182+9=191

Answer: If you take 6 in and multiply by 12 You would get 72 inches

*Step By Step explanation* 6 Multiplied by 12 equals 72

Rounding would not be necessary.

Answer:

The correct option is B. 226 inches³

Step-by-step explanation:

The diameter of the cone is given to be 12 inches

So, The radius of the cone will be 6 inches

Also, The height of the cone is given to be 6 inches'

Now, we need to find the volume of the cone.

So, Volume of the cone is given by the formula :

[tex]Volume=\frac{1}{3}\pi\times radius^2\times height[/tex]

[tex]Volume=\frac{1}{3}\times 3.14\times 36\times 6[/tex]

[tex]Volume=226.08[/tex]

[tex]Volume\approx 226.08\:inches^3[/tex]

Therefore, the correct option is B. 226 inches³

the next two numbers in this pattern is 62,248...

Answer:

512, - 2048

Step-by-step explanation:

Note that the next term rule between consecutive terms is multiply by - 4, that is

2 × - 4 = - 8

- 8 × - 4 = 32

32 × - 4 = - 128

Continue this process to obtain the next 2 terms

- 128 × - 4 = 512

512 × - 4 = - 2048

Answer:

94.1 m²

Step-by-step explanation:

Use the sine rule to find BC

[tex]\frac{BC}{sin82}[/tex] = [tex]\frac{12}{sin40}[/tex]  ( cross- multiply )

BC × sin40° = 12 × sin82° ( divide both sides by sin40° )

BC = [tex]\frac{12sin82}{sin40}[/tex] ≈ 18.487

Area = [tex]\frac{1}{2}[/tex] × 12 × 18.487 × sin58° ≈ 94.1

Answer:

118°

Step-by-step explanation:

Since it is an isosceles triangle, two angles must be the same.

Also angles in a triangle add up to 180° and from this we can deduce that

x + ( 31 + 31 ) = 180

( Simplify )

x + 62 = 180

( - 62 from both sides )

x = 118°

Answer:

(-5.5,0)

Step-by-step explanation:

The question is on finding the focus point of a parabola

Given y²= 2(x+6).....................................(a)

Compare equation (a) with the standard equation  (y-b)²= 2p(x-a)

y²= 2(x+6)------can be written as (y-0)²=2(x+6)

(y-0)²=2(x+6)

(y-b)²= 2p(x-a)

2p=2-----------------divide both sides by 2 to get p

p=2/2=1

For  the vertex (a,b)⇒(-6,0)

For  the focus point ( a+p/2, b)........................................(b)

Substitute values i equation (b) above

(-6+1/2 ,0) =(-5.5, 0)

Answer:

A

Step-by-step explanation:

Check the picture below.

Answer:she would have at least gotten a 75 to pass.

Step-by-step explanation:76+82+71+75=304

304÷4= a solid 76%

Answer: 8 hours

Step-by-step explanation: If a frog can jump 1/4 fourth a mile every hour then it will take 4 hours to complete a mile. But because we are talking a bout 2 miles, you have to double the time. Therefore, the answer is 8 hours

It would be one hour every quarter of the mile so count the hours by the amount of numbers there are in one mile so it would be 8 hours

Answer:

AB = 17.3 cm

Step-by-step explanation:

We require to find the measure of ∠A then use the cosine ratio to calculate AB

sum the parts of the ratio 3 + 2 = 5 parts, then

90° ÷ 5 = 18° ← value of 1 part of ratio

∠A = 2 × 18° = 36°, thus

cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{AB}[/tex]

Multiply both sides by AB

AB × cos36° = 14 ( divide both sides by cos36° )

AB = [tex]\frac{14}{cos36}[/tex] ≈ 17.3 cm

Answer:

My best guess is b. 111

Step-by-step explanation:

She first catches 54 and returns them then she catches 70 and 13 of those she had previously caught, so she only caught 57 new frogs. So within the sample time period she had caught a total of 54+57= 111 frogs.

Answer: 111

Step-by-step explanation:

she catches 54 and puts on the leg bands. The next day she catches 70 but 13 of them were from the previous day.

So, 54+70-13=111

Answer:

y = 1.6 x

y = 24

Step-by-step explanation:

The general equation of a direct variation is

y = k x

In this case

x = 10

y = 16

y = k*x

16 = 10*k

16/10 =  k

k = 1.6

y = 1.6x

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

Let x = 15

y = 1.6 * 15

y = 24

the answer is A.) 3/10

Option: B is the correct answer.

            [tex]B.\ \ \dfrac{7}{10}[/tex]

We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:

[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]

( The students are: Fran, Juan , Ian and Ella )

( The students are: Mickey, Mai, Marcus , Ian and Ella)

( since those students are: Ian and Ella)

Hence, we have:

[tex]P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}[/tex]

Hence, we have:

[tex]P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}[/tex]

Factor out common terms in the first two terms, then in the last two terms

4x^2(5x - 3) + 3(5x - 3)

Factor out the common term 5x - 3

= (5x - 3)(4x^2 + 3)

Answer:

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

Answer:

Step-by-step explanation:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

A parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

Answer:

It's d. 0.

Step-by-step explanation:

The log (to any base) of 1 = 0, so log8 1 = 0, and the whole expression is equal to 0:

 0 * log3 27 = 0.

The expression log8 1 * log3 27 evaluates to 0, so the equivalent expression from the options is d - 0.

The expressions we need to evaluate are log8 1 * log3 27. The log of 1, no matter what the base, is always 0. This is because any number raised to the power of 0 is 1. So, log8 1 is equal to 0. Now, evaluate log3 27. The log base 3 of 27 is 3 because 3 cubed (or 3 to the power of 3) is 27. So, log3 27 equals 3. Thus, log8 1 * log3 27 = 0 * 3 = 0. Comparing with the given options, we find that the only equivalent expression is option d - 0.

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Answer:

enlarge the picture 7 times by inches

To enlarge Tonya's picture by a factor of 7, the length of 4 1/5 inches is multiplied by 7 to get an enlarged length of 29 2/5 inches.

Tonya has a small picture with a length of 4 1/5 inches. To enlarge the picture by a factor of 7, we need to multiply the original length by 7. First, we convert 4 1/5 inches to an improper fraction: 4 1/5 = (4 * 5 + 1)/5 = 21/5. Next, we multiply by 7: (21/5) * 7 = 21 * 7 / 5 = 147/5 inches. To convert it to a mixed number, we divide 147 by 5 which equals 29 with a remainder of 2, leading to a mixed number of 29 2/5 inches. Thus, the enlarged picture has a length of 29 2/5 inches.

For this case, we must find the value of "x" so that the given expression is equal to 8.

That is to say:

[tex](\sqrt [5] {8 ^ 3}) ^ x = 8[/tex]

We apply "ln" to both sides of the equation to remove the exponent variable:

[tex]ln ((\sqrt [5] {8 ^ 3}) ^ x) = ln (8)\\xln (\sqrt [5] {8 ^ 3}) = ln (8)\\xln (\sqrt [5] {512}) = ln (8)[/tex]

We rewrite 512 as:

[tex]512 = 32 * 16 = 2 ^ 5 * 16\\xln (\sqrt [5] {2 ^ 5 * 16}) = ln (8)[/tex]

By definition of power properties we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

[tex]xln (2 \sqrt [5] {16}) = ln (8)[/tex]

We clear x:

[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}[/tex]

In decimal form, [tex]x = 1.6[/tex] periodic number

ANswer:

[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}\\x = 1.6\ periodic\ number[/tex]

A credit report is a detailed listing of your credit history.

Answer: b

A credit report is defined as; B: A credit report is a detailed listing of your credit history

A credit report is defined as a report that shows the financial credit history of an individual.

Now, the credit report shows the credit point which may be an excellent or poor credit score. Thus, when a person has a high credit score report, such a person is eligible for higher loans from the market but if such a person has a low credit score report, such a person cannot be eligible for hgher loans from the market.

Thus, we can conclude that A credit report is a detailed listing of your credit history.

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