Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to O value after 12 years. How
much will your car be worth after 9 years?
b. What is the slope of the line?
A. 2300
B.27600
C. 2300
D.12

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

One widely held theory about the purpose of dreams is that they help you store important memories and things you've learned, get rid of unimportant memories, and sort through complicated thoughts and feelings. Research shows that sleep helps store memories.

Answer:

hope it helps mark me as the brainliest

Step-by-step explanation:

One widely held theory about the purpose of dreams is that they help you store important memories and things you've learned, get rid of unimportant memories, and sort through complicated thoughts and feelings. Research shows that sleep helps store memories.

Answer:

See the picture below

Step-by-step explanation:

Step-by-step explanation:

you cant make things in brainly

A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).

Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.

The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.

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Answer:

y = - \(\frac{1}{2}\) x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{1}{2}\) x - 2 ← is in slope- intercept form

with slope m = - \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (- 4, - 1 ) into the partial equation

- 1 = - \(\frac{1}{2}\) (- 4) + c = 2 + c ( subtract 2 from both sides )

- 3 = c

y = - \(\frac{1}{2}\) x - 3 ← equation of parallel line

Answer:

41 years old

Step-by-step explanation:

n = age now

create proportion, then cross-multiply:

(n-12)/n = 2/3

2n = 3n-36

-n = -36

n = 36

in 5 years age will be 36+5 or 41

Answer:

0.111 hope that helps you

Answer:

− x 2 +5 x − 8

Step-by-step explanation:

Answer:

1048576

Step-by-step explanation:

1.048576 × \(10^6\)

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                        = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

             = 58 × 0.94

             = 54.52

Standard deviation 'σ' = √ np (1 - p)

                                   = √ 58 × 0.94 × 0.06

                                   = √3.2712

                                   = 1.808

Variance 'σ²' =  np( 1 - p )

                    = 58 × 0.94 × 0.06

                   = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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Answer:

0,π,π+1

Step-by-step explanation:

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

Step-by-step explanation:

Answer:

f(3) = 19

Step-by-step explanation:

Step 1: Define

f(x) = 2x² + 1

x = 3

Step 2: Substitute and Evaluate

f(3) = 2(3)² + 1

f(3) = 2(9) + 1

f(3) = 18 + 1

f(3) = 19

Answer:

170 in²

Step-by-step explanation:

This trapezoid is broken up into two shapes: a triangle and a parallelogram.

The formula for area of a triangle is b (base) × h(height) ÷ 2.

The base of the triangle is 4 and the height is 10.

b (base) × h(height) ÷ 2

10 × 14 ÷ 2 = 70

-------------------------------------------------------------------------------------------------------------

The formula for area of a parallelogram is b (base) × h(height).

The base of the parallelogram is 10 and the is 10 as well.

b (base) × h(height)

10 × 10 = 100.

-------------------------------------------------------------------------------------------------------------

Lastly, add both areas.

100 + 70 = 170

Therefore, the area of this figure is 170 in².

Answer:

let the numbers be x and y then by given conditions:

x + y = 10 ….. eq 1

and

xy = 9….. eq 2

from eq 2. y = 9/x

put this in eq. 1

x + 9/x = 10

x + 9= 10x

x = 1

now,

xy = 9put value of x

y = 9

Step-by-step explanation:

Hope it is helpful....

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

n = 84

Step-by-step explanation:

18 + 3 = 21, so that means the quotient of the number and 4 is 21.

21 * 4 = 84

CHECK:

84 / 4 = 21

21 - 3 = 18

The solution to the system of equations is (x, y) = (1/2, 11/4).

To solve the system of equations:

Equation 1: -4x + 16y = 28

Equation 2: 8x - 4y = -7

We can solve this system of equations by the method of substitution or elimination.

Using the substitution method:

From Equation 2, we can rewrite it as:

y = 2x + 7/4

Substituting this expression for y into Equation 1:

-4x + 16(2x + 7/4) = 28

Simplifying the equation:

-4x + 32x + 14 = 28

28x + 14 = 28

28x = 14

x = 1/2

Substituting the value of x back into the expression for y:

y = 2(1/2) + 7/4

y = 1 + 7/4

y = 11/4

Therefore, the solution to the system of equations is (x, y) = (1/2, 11/4).

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )

Finding the midpoint

\( \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}} \)

\( \dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}\)

\( \dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )\)

\( \dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}\)

Hope I helped!

Best regards! :D

Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

(a) a summary table of the sampling distribution of variances, with distinct variance values and their corresponding probabilities.

(b) B. The population variance is equal to the mean of the sample variances.

(c) is B. The sample variances do not target the population variance, and in general, sample variances do not make good estimators of population variances.

(a) Variance of each of the nine samples:

To find the variance of each sample, we use the formula for sample variance: s² = Σ(x - x bar)² / (n - 1), where x is the individual value, x bar is the sample mean, and n is the sample size.

The nine samples and their variances are as follows:

1, 1: Variance = 0

1, 2: Variance = 0.5

1, 12: Variance = 55

2, 1: Variance = 0.5

2, 2: Variance = 0

2, 12: Variance = 55

12, 1: Variance = 55

12, 2: Variance = 55

12, 12: Variance = 0

Summary table of the sampling distribution of variances:

Distinct Variance Value | Probability

0 | 0.333

0.5 | 0.222

55 | 0.444

(b) Comparison of population variance to the mean of sample variances:

The population variance is the variance of the entire population, which in this case is {1, 2, 12}. To find the population variance, we use the formula: σ² = Σ(x - μ)² / N, where σ² is the population variance, x is the individual value, μ is the population mean, and N is the population size.

Calculating the population variance: σ² = (0 + 1 + 121) / 3 = 40.6667

Calculating the mean of the sample variances: (0 + 0.5 + 55) / 3 = 18.5

Therefore, the answer is B. The population variance is equal to the mean of the sample variances.

(c) Estimation of population variance by sample variances:

In general, sample variances do not make good estimators of population variances. The sample variances in this case do not target the value of the population variance. As we can see, the sample variances are different from the population variance. This is because sample variances are influenced by the specific values in the samples, which can lead to variability in their estimates. Therefore, sample variances may not accurately reflect the true population variance. To estimate the population variance more accurately, larger and more representative samples are needed.

The answer is B. The sample variances do not target the population variance, and in general, sample variances do not make good estimators of population variances.

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Answer:

205.60 yards

Step-by-step explanation:

The worth of the investment after 4 years is approximately $13,953.95.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that the data in the question;

First, convert R as a percent to r as a decimal.

r = R/100

r = 13.6/100

r = 0.136

Now, plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = $8,100( 1 + 0.136/365 )^( 365 × 4 )

A = $8,100( 1 + 0.136/365 )^( 1460 )

A = $13,953.95.

Therefore, the accrued amount is $13,953.95.

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Answer:

The weight of the wood before he chopped it is 245 N

Step-by-step explanation:

The law of conservation of mass states that for a given isolated system, mass (or matter) can not be created neither can it be destroyed, but it can be transformed into different forms

Therefore, whereby all the wood Chuck chops is taken as firewood, (wood which is dry is about 100% consumable as firewood) the mass of the wool before he chopped the wood = The mass of the firewood he had after chopping the wood = 25 kg

Weight = Mass × The acceleration due to gravity, g

g = Constant = 9.8 m/s²

The weight of the wood before he chopped it = 25 kg × 98 m/s² = 245 N.

Answer:

as much as it wants

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

The cubic functions and linear functions, both are polynomial having degree of 3 and 1 respectively.

One of the key ideas in mathematics is the concept of polynomials, along with the multiple sorts of polynomials that can be created depending on the degree for polynomials.

Some properties of cubic functions and linear functions are-

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