Question 2 (2 points) Alex purchased a new car for $35,000. Cars decrease in value at a rate of 18% per year. Show your work/explain your response for each part. Part A:Write an exponential function to model the cost y, of the car after x years. Part B:Use your function from Part A to determine how much the car is worth after 10 years.

Answer:

Triangles B and C

Step-by-step explanation:

Im not 100% sure i cant really explain because i did this in my head sorry im 60% sure its right sorry its my bad if you get it wrong

Triangles A and B are similar because they have the same equal pair of corresponding angles. Thus, the correct answer is option (D).

As per the shown figure, In triangles A and B have:

Same angle = 67°

Same angle = 23°

Same angle = 90°°

As we know that similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Here, triangles A and B have corresponding angles that are the same.

Thus, triangles A and B are similar.

Therefore, the correct answer is an option (D).

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do eat popcorn in a tub

:)

poopy face

Answer:

-18

Step-by-step explanation:

From 3 to 10th term is 7 d's       ( d = common difference)

3 - 7d = third term

3 - 7(3)  =  -18

Answer:

357

Step-by-step explanation:

Since the prime factors of 315 are 3, 5, 7.

Hey there!☺

\(Answer:\boxed{x=\frac{5}{6},-\frac{5}{6}}\)

\(Explanation:\)

\(|x|=\frac{5}{6}\)

To solve for x, simplify both sides of the equation and then isolate the variable:

\(|x|=\frac{5}{6}\\x=\frac{5}{6},-\frac{5}{6}\)

Hope this helps!☺

The point (-5.2, -27) satisfies the equation of the line. Then the point belongs to the line.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

y = 5x - 1

If the point satisfies the equation, then the point belongs to that equation.

Substitute x = - 5.2 and y = - 27, then we have

- 27 = 5 · (-5.2) - 1

- 27 = - 26 - 1

- 27 = - 27

Thus, the point (-5.2, -27) satisfies the equation of the line. Then the point belongs to the line.

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Answer:

Sure. Here are the steps on how to find the distance between the given points p1(−5, −2) and p2(−5, 4):

1. Find the change in the x-coordinate. In this case, the change in the x-coordinate is 0.

2. Find the change in the y-coordinate. In this case, the change in the y-coordinate is 4 - (-2) = 6.

3. Square the change in the x-coordinate and the change in the y-coordinate. In this case, 0^2 = 0 and 6^2 = 36.

4. Add the two squared values together. In this case, 0 + 36 = 36.

5. Take the square root of the sum. In this case, sqrt(36) = 6.

6. Round the answer to the nearest hundredth. In this case, 6 rounded to the nearest hundredth is 6.00.

Therefore, the distance between the given points p1(−5, −2) and p2(−5, 4) is 6.00.

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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The number a has to be greater than 636.6197723675814 for the integral ∫[infinity]a1x2+1dx to be less than 0.001.

To determine how large the number a has to be so that ∫[infinity]a1x2+1dx<0.001, we can use the formula for the integral of inverse trigonometric functions:

∫1x2+1dx=tan−1x+C

We can substitute the limits of integration into this formula:

∫[infinity]a1x2+1dx=tan−1([infinity])-tan−1(a)

Since tan−1([infinity])=π2, the formula becomes:

π2-tan−1(a)<0.001

We can rearrange this inequality to solve for a:

tan−1(a)>π2-0.001

Taking the inverse tangent of both sides of this inequality gives us:

a>tan(π2-0.001)

Using a calculator, we can find that:

a>636.6197723675814

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Answer: 50% I think

Step-by-step explanation: blue and orange are both good colors so I think it would be a 50/50 chance. blue isn't better then orange and orange isn't better then blue.

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...

Answer:

The simplified expression is \(\frac{7x+36}{6}\)

Step-by-step explanation:

Lets simplify the expression

\(\frac{3x+11}{2}-\frac{2x-3}{6}\)

To write \(\frac{3x+11}{2}\) as a fraction with a common denominator, multiply by \(\frac{3}{3}\).

\(\frac{3x+11}{2}*\frac{3}{3} -\frac{2x-3}{6}\)

Multiply.

\(\frac{3(3x+11)}{2*3}-\frac{2x-3}{6}\)

Simplify the numerator by applying the distributive property.

\(\frac{3x*3+11*3-(2x-3)}{6}\)

Multiply 3 by 3.

\(\frac{9x+11*3-(2x-3)}{6}\)

Multiply 11 by 3.

\(\frac{9x+33-(2x-3)}{6}\)

Apply the distributive property.

\(\frac{9x+33-(2x)--3}{6}\)

Two negatives is a positive.

\(\frac{9x+33-2x+3}{6}\)

Subtract \(2x\) from \(9x\).

\(\frac{7x+33+3}{6}\)

Add 33 and 3.

\(\frac{7x+36}{6}\)

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Answer:

Step-by-step explanation:

-9pi/8

23pi/8

-25pi/8

I think its.

The coterminal angles of ( 7π/8 ) are ( 9π/8 ) , ( -9π/8 ) and ( 23π/8 )

Angles with the same starting side and terminal side are said to be coterminal angles. Depending on whether the given angle is in degrees or radians, finding coterminal angles is as easy as adding or subtracting 360° or 2 to each angle. Coterminal angles can be found in an unlimited number of ways.

To find the coterminal angles of angle θ

The measure of coterminal angle is θ ± 360n,  if θ is measured in degrees.

And , measure of coterminal angle isθ ± 2πn,  if θ is measured in radians.

Given data ,

Let the angle be represented as θ

Now , the value of θ = ( 7π/8 )

On simplifying the equation , we get

To find the coterminal angles of angle θ

θ ± 2πn,  if θ is measured in radians.

Substituting the values in the equation , we get

x₁ = ( 7π/8 ) + 2π

x₁ = ( 23π/8 )

And ,

x₂ = 2π - ( 7π/8 )

x₂ = ( 9π/8 )

And ,

x₃ = ( 7π/8 ) - 2π

x₃ = ( -9π/8 )

Hence , the coterminal angles are ( 9π/8 ) , ( -9π/8 ) and ( 23π/8 )

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A placebo is an inert substance or treatment that is given to the control group in an experiment or clinical trial. It is used as a comparison or control condition to assess the effectiveness of an active treatment or intervention.

The main purpose of a placebo is to provide a baseline against which the effects of the active treatment can be evaluated.

In medical research, placebos are often used in double-blind, randomized controlled trials. In such trials, participants are randomly assigned to either the treatment group, where they receive the active treatment, or the control group, where they receive the placebo. The participants and the researchers administering the treatments are typically blinded to which group is receiving the active treatment or the placebo.

The use of a placebo helps researchers distinguish between the actual effects of the treatment and any placebo effects or natural variations that may occur. A placebo is designed to be indistinguishable from the active treatment in terms of appearance, taste, or administration method. This helps minimize bias and ensures that any observed differences in outcomes between the treatment and control groups are truly due to the effects of the treatment.

By comparing the outcomes of the treatment group with the control group, researchers can determine whether the active treatment has a specific effect beyond what can be attributed to placebo effects or other factors. If the treatment group shows significantly better outcomes compared to the control group, it suggests that the active treatment has a beneficial effect.

Therefore, the use of a placebo is crucial in clinical trials to establish the efficacy of a new treatment or intervention. It allows researchers to assess whether the observed effects are statistically significant and provide evidence of the treatment's effectiveness.

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Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.

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As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

What is a function ?

Function can be defined in which it relates an input to output.

The number of subscribers to the magazine is decreasing at a constant rate. This means that the relationship between the number of subscribers and the number of years since 2000 can be modeled by a linear function.

To find the function that best represents this relationship, we can use the two-point form of a linear equation. We will use the points (0, 25000) and (4, 10240) from the table.

The slope of the line passing through these two points is:

slope = (y2 - y1) / (x2 - x1)

= (10240 - 25000) / (4 - 0) = -4200

Using the point-slope form of a linear equation with the point (0, 25000), we get:

y - y1 = m(x - x1)

y - 25000 = -4200(x - 0)

y - 25000 = -4200x

y = -4200x + 25000

Therefore, the function that best represents the relationship between the number of subscribers and the number of years since 2000 is:

p(x) = -4200x + 25000

where x is the number of years since 2000 and p(x) is the number of subscribers to the magazine.

Using this function, we can find the number of subscribers to the magazine for any given year. For example, to find the number of subscribers in the year 2007 (7 years since 2000), we would substitute x = 7 in the function:

p(7) = -4200(7) + 25000

p(7) = 21800

Therefore, the number of subscribers to the magazine in the year 2007 is 21800.

Therefore, As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.

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Answer:

75%

Step-by-step explanation:

Answer:

A... 25%

Step-by-step explanation:

75/300 = 1/4

0.25 = 25%

Answer:

Step-by-step explanation:

Part A

When dividing 744 ÷ 40, the first digit of the quotient will be in what place?

Hundreds ✔️

Tens  ❌

Ones  ❌

Thousands

Part B

How many apples will be in each basket? Enter your answer in the box.

Apple in each box = 186

Part C

How many apples will be left? Enter your answer in the box.

Apple will be left = 0

Please Tell If Wrong Because I used a piece of paper

There are 18 apples in each basket from the given situation.

Given that, Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Part A:

744 ÷ 40

40 | 744 | 18

      40

   _____

      344
      320
   _____

       24

The first digit of quotient 18 is in tens place.

Part B:

There are 18 apples in each basket.

Part C:

There are 24 apples will be left.

Therefore, there are 18 apples in each basket from the given situation.

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Answer:

135 yards

Step-by-step explanation:

There are 135 yards in 45 feet.

Our information:

The park is 45 feet long

There is (3 feet= 1 yard)

Since there is 3 feet in 1 yard. You have to multiply 45 x 3.

So, The answer is 135 yards.

Answer:

8k + 14

Step-by-step explanation:

2(4K + 7)

8k + 14

Answer:

70%

Step-by-step explanation:

there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%

- Gage Millar, Algebra 2 tutor

Answer:

Below

Step-by-step explanation:

I would say 70%

It is split up into 10 parts, 7 are shaded,

7 to 10 would be as 70% is to 100%

Answer:

Minus -

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

So, you start with division. 15/3=5, so you have 5+4x3

Then, you have to multiply. 4x3=12, so you have 5+12

Finally, you do 5+12, which is 17.

So, the simplified expression is 17.

Answer:

Step-by-step explanation:

Simplify the expression

15 ÷ 3 + 4 x 3​                (Remember PEMDAS)

5 + 12 =

17

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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Answer:

Step-by-step explanation: