A certain car was purchased for $28,500. The car
has a resale value of $17,500 after a useful life of 6
years. What is the annual depreciation expense for
this car?
Annual depreciation expense = $ [ ? ]
Round to the nearest hundredth.

Answer:

first of all come to 1/4  1 divide by 4 is 0.25 now come to 12-4x its (8x) now brackets mean divide so 0.25 divide 8x is 0.3125 = now equation b x has no value so we will minus 3 from the brackets value 3 - 0.3125 =2.6875 THEREFORE 0.3125=2.6875

Step -by-step explanation:

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

X=11 trust me on my mom

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer:

x=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Let's solve your equation step-by-step.

58=9x−5

Step 1: Flip the equation.

9x−5=58

Step 2: Add 5 to both sides.

9x−5+5=58+5

9x=63

Step 3: Divide both sides by 9.

9x/9 = 63/9

x=7

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer: i THINK it might be c

Step-by-step explanation: dont hold me to it tho. its just a guess. typed all of the equations in desmos but none of them came out exact. sorry love

13 is the greatest common divisor of 39 and 91.

\(13 \times 3 = 39 \\ \\ 13 \times 7 = 91\)

Answer:

  13

Step-by-step explanation:

39 = 3·13

91 = 7·13

The only common factor is 13.

  GCD(39, 91) = 13

The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Answer:

= 9

Step-by-step explanation:

1/2 (12) +3 = 9

Hope this helps!

Answer:

well that depends on how many pieces of gum are in one pack, once you have that info multiply it by 4.

Step-by-step explanation:

14 students excel in all three subjects.

Let's use the Principle of Inclusion-Exclusion to solve this problem.

Let A be the set of students excelling in Arts, B be the set of students excelling in Science, and C be the set of students excelling in Mathematics.

|A| = 24, |B| = 16, |C| = 13

|A ∩ B| = 16, |B ∩ C| = 13, |A ∩ C| = 12

Let x be the number of students who excel in all three subjects.

|A ∩ B ∩ C| = x

We are given that 2 students excel in none of the subjects.

So, |A ∪ B ∪ C| = 52 - 2 = 50

Using the Principle of Inclusion-Exclusion:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |B ∩ C| - |A ∩ C| + |A ∩ B ∩ C|

Substituting the given values, we get:

50 = 24 + 16 + 13 - 16 - 13 - 12 + x

Solving for x, we get:

50 = 24 - 12 + x

x = 38 - 24

x = 14

So, 14 students excel in all three subjects.

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Answer:

A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.

Step-by-step explanation:

A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.

Answer:

3 3/5 feet per seconds

Step-by-step explanation:

If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.

Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:

9 3/5 feet  = 2 seconds ... 1

The number of feet per seconds will be expressed as:

x = 1secs.... 2

Divide equation 1 by 2 as shown:

9 3/5 ÷ x = 2 2/3 ÷ 1

48/5x = 8/3

Cross multiply

5x * 8 = 48 * 3

40x = 144

10x = 36

5x = 18

x = 18/5

Express as a mixed fraction:

18/5 = 3 3/5ft/secs

Hence the frog is moving at 3 3/5 feet per seconds

Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

Answer:

The first one is the only one that makes sense.

Step-by-step explanation:

hope it helps!

Answer:

I think perhaps maybe Answer D

Step-by-step explanation:

Im taking a class

Answer:

from [- infinity to (2, 0)] is when it is increasing. (both included).

from [(2, 0) to infinity ] is when it is decreasing. (both included).

By looking at the graph, we can determine this.

The slope of the increasing line is positive, and the slope of the decreasing line is negative.

Answer:

732 pieces

Step-by-step explanation:

458/5/8

= 458* 8/5= 732 pieces

if my answer helps please mark as brainliest

Answer:

2 : 3

Step-by-step explanation:

\(\frac{3}{5}\) of the pens are red , then \(\frac{2}{5}\) are green

ratio of green : red = \(\frac{2}{5}\) : \(\frac{3}{5}\) ( multiply both parts by 5 to clear the fractions )

green : red = 2 : 3

Answer:

a = 55/6

Step-by-step explanation:

Solving in steps:

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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The expected value of the number of rolls necessary to roll a specific number is 6. This is because each roll has an equal probability of rolling the desired number, which is 1/6.

The expected value of the number of rolls necessary to roll a specific number can be calculated by multiplying the probability of rolling the desired number by the total number of rolls. In this case, since the random number generator is a six-sided die, the probability of rolling a specific number, such as a six, is 1/6. Therefore, the expected value of the number of rolls necessary to roll a six would be 6 (1/6 x 6 = 6). This is because each roll has an equal probability of rolling the desired number. To calculate the expected value for any number, simply multiply the probability of rolling the desired number (1/6) by the total number of rolls. For example, if the desired number is a five, the expected value would be 5 (1/6 x 5 = 5). If the desired number is a three, the expected value would be 3 (1/6 x 3 = 3). Thus, the expected value of the number of rolls necessary to roll a specific number is equal to the number itself.

The complete question: Given a discrete random number generator, such as a six-sided die, what is the expected value of the number of rolls necessary to roll a specific number (e.g. a six)?

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Answer:

17,640 ways

Step-by-step explanation:

This is a problem in combinatorics which tells you in how many ways you can pick r items from a total of n items.

The notation for this is  \({n \choose r}\) also written as C(n, r)

\(\rm C(n, r)\;= { \binom{n}{r}} }\; is \; given\; by \; the \; formula\; \; \dfrac {n!}{r!(n-r)!}\\where n! = factorial of n = n \times (n-1) \times (n-2) \times ........\times 3 \times 2 \times 1\)

Let's deal with each of the choices

2 freshmen out of 5 freshmen.
This is C(5, 2)

\(= = \dfrac{5!}{( 2! (5 - 2)! )} = = \dfrac{5!}{2! \times 3! } = 10\)

3 sophomores out of 9 sophomores

= C(9, 3)

\(= \dfrac{9!}{( 3! (9 - 3)! )} = = \dfrac{9!}{3! \times 6! } = 84\)

4 juniors out of 7 juniors

C(7, 4)

\(= \dfrac{7!}{( 7! (7 - 7)! )} = \dfrac{7!}{7! \times 0! } =1\)

5 seniors out of 7 seniors
C(7, 5)

\(= \dfrac{7!}{( 5! (7 - 5)! )} = \dfrac{7!}{5! \times 2! } = 21\)

So total number of ways in which we can fill this committee
= 10 x 84 x 1 x 21

= 17,640 ways

The area of the shaded region is equal to 45 square units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = 8 × 6

Area of rectangle = 48 square units.

Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;

L₁ = 8 - 5 = 3 units.

L₂ = 6 - 4 = 2 units.

Area of right triangle = 1/2 × 3 × 2

Area of right triangle = 3 square units.

For the area of the shaded region, we have:

Area of the shaded region = 48 square units - 3 square units.

Area of the shaded region = 45 square units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.