what is 25.5 divided 1.8

If David bought a used Dodge Challenger for $14,000. The function that represent the value of David's car, V(t), after T years is:  V(t)=14,000 (0.89)^t.

Given:

Principal =$14,000

Rate =11%

Time (t)=?

Hence:

V(t) =Principal (1- rate)^time

V(t) =14,000 (1-.11)^t

V(t) =14,000 (0.89)^t

Therefore we can conclude that  the function that represent the value of David's car is V(t)=14,000 (0.89)^t.

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The figure EFGHIJ is similar to figure KLMNPQ by (b)

From the question, we have the following parameters that can be used in our computation:

The figures

To check if the polygons are similar, we divide corresponding sides and check if the ratios are equal

So, we have

Scale factor = (-3, -6)/(-2, -4)

Scale factor = 1.5

Hence, the polygons are similar by a scale factor of 1.5

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Answer:

814

Step-by-step explanation:

A=2(wl+hl+hw)

=2((11×22)+(5×22))+(5×11))

= 814

The area should be reported with three significant digits, giving a final answer of 19.5 m².

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

When reporting the answer to a mathematical calculation involving multiplication or division,

the answer should be correctly reported with the same number of significant digits as the value in the calculation with the fewest number of significant digits.

This is because the number of significant digits in the result cannot be greater than the number of significant digits in the least precise value used in the calculation.

For example, suppose you want to calculate the area of a rectangle with a length of 5.2 meters and a width of 3.75 meters.

The calculation is as follows:

Area = Length x Width

Area = 5.2 m x 3.75 m

Area = 19.5 m²

In this case, the value with the fewest number of significant digits is 3.75, which has three significant digits.

Therefore, the area should be reported with three significant digits, giving a final answer of 19.5 m².

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Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

Answer:

b = 6

Step-by-step explanation:

7b - 15 = 5b - 3

7b = 5b + 12               Add 15 to both sides

2b = 12                       Subtract 5b from both sides

b = 6                           Divide 2 from both sides

Answer:

\(b = 6\)

Step-by-step explanation:

1.) We need to manipulate the equation to get b by itself.

2.) ​ Subtract 5b from each side. Combine like terms. Add 15 to each side. Combine like terms. Divide each side by 2. Simplify.

The given expression is

First, we add 5 on each side

Then, we divide the equation by -4

The image below shows this solution.

Hence, the answer is B.

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

Answer:

the numbers are 18 and 71

Step-by-step explanation:

let x and y be the 2 numbers with x > y , then

4y = x + 1 ( subtract 1 from both sides )

4y - 1 = x → (1)

x - y = 53 → (2)

substitute x = 4y - 1 into (2)

4y - 1 - y = 53

3y - 1 = 53 ( add 1 to both sides )

3y = 54 ( divide both sides by 3 )

y = 18

and x = 4y - 1 = 4(18) - 1 = 72 - 1 = 71

the 2 numbers are 18 and 71

Answer:

Smaller number=18, Larger Number=71

Step-by-step explanation:

Let the smaller number be s

the larger number be l

4s=1+l

4s-l=1

l-s=53

(4s-l)+(l-s)=1+53

3s=54

s=18

l-s=53

l-18=53

l=71

The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

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Answer:

part 11

Step-by-step explanation:

B

Step-by-step explanation:

hope that help!

The tangent lines to y = x² that pass through the given point have the slopes A. - 2 and 14.

The slopes of the tangent lines to the function can be found by first finding where the point on the curve intersects.

Derive the function:

dy/dx = 2x

The slope is therefore:

y - a² = 2a(x - a)

(-7) - a² = 2a(3 - a)

-7 - a² = 6a - 2a²

2a² - 6a - 7 = 0

(2a + 1)(a - 7) = 0

The solutions for these is:

a = -1/2 and a = 7

Multiplied by 2:

- 1 and 14.

Option A is the closest to this so is correct.

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Answer:

no it is not equivalent, sorry if this isn't right I tried my best

Step-by-step explanation:

70 times 25+70 times 35= 4,200 and 102 times 72= 7,344 therefore they are not equivalent

If  ΔD'F'G' is the image of ΔDFG, the scale factor of the dilation of the figure id 1.5.

What is the dilation?

A dilation is a transformation that rescales an object by a given factor from a fixed point called the center of dilation. The dilation can either enlarge or shrink the object depending on the value of the scale factor.

In this case, since D'F'G' is the image of DFG, we can say that a dilation has been applied to DFG.

To write a coordinate rule for the dilation, we need to know the coordinates of the center of dilation and the scale factor.

Let (h,k) be the center of dilation, and let r be the scale factor. Then the rule for dilation is:

(x', y') = (h + r(x - h), k + r(y - k))

where (x, y) are the coordinates of a point in the original figure, and (x', y') are the coordinates of its image after dilation.

According to the question the ΔD'F'G' is the image of ΔDFG

so, ΔDFG. It is going to expand out from the origin O.

and OG || OG', OD || OD' and OF || OF'

and G(0, 2), G'(0, 3), D(-2, 0), D'(-3, 0), F(-2, 2), F'(-3, 3),

So, the scale factor is OG/OG' = 3/2 = 1.5

Therefore, the scale factor of the dilation of the figure is 1.5.

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The reflection paper is about REHB 200. Each student is expected to use appropriate person-first language. The paper must be a minimum of 5 pages.

This reflection paper about REHB 200 requires a minimum of 5 pages from each student. The paper must include a summary of what will be discussed in the body of the paper. To write the reflection paper, the following points should be considered: three things not known about disability before taking this course, the favorite video clip(s) and why, laws designed to protect people with disabilities, thoughts associated with employment obstacles faced by people with disabilities, inclusion and normalizing disability in society, compare and contrast intellectual, physical, cognitive, and psychiatric disability, thoughts about the accessibility audit activity and discussion board questions, and biggest takeaway from the class.

In conclusion, this reflection paper about REHB 200 requires a minimum of 5 pages from each student. It is expected that each student will comply with appropriate person-first language. The reflection paper includes a summary of what will be discussed in the body of the paper and must cover several points including the comparison and contrast of intellectual, physical, cognitive, and psychiatric disability.

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The equation that represents the function g , the result of the transformation is g(x) = -(1/2)tanx     .

In the question ,

the parent function is given to be tangent ,

let the the parent function be denoted by "f" ,

So , f(x) = tanx,

given that the function is horizontally compressed by a factor of 1/2 ,

that means the function is multiplied by 1/2 ,

So ,g(x) = (1/2)tanx

also given that it is reflected over the x axis ,

reflection over x axis means , multiplying it by -1,

So , g(x) = -(1/2)tanx .

Therefore , the function g is g(x) = -(1/2)tanx  .

The given question is incomplete , the complete question is

The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Write an equation to represent function g, the result of this transformation ?

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Answer:

g(x)=-tan(2x)

Step-by-step explanation:

Answer:

the answer is 0.1km

Step-by-step explanation:

Answer:

±2√10

Step-by-step explanation:

Given the equation 40 - x^2 = 0

Add x^2 to both sides

40 - x^2 + x^2 = 0+ x^2

40 = x^2

x^2 = 40

x = ±√40

x = ±√4 * √10

x = ±2√10

Hence the value of x is ±2√10

Answer:

p(3)=7

Step-by-step explanation:

So 3^2-2: 9-2=7

Answer:

heres the answer  60ℎ−30+60

Step-by-step explanation:

Answer:

11314.87379 (This is still rounded).

Step-by-step explanation:

Year 1:

9300*4%=372. 9300+372=9672.

Year 2:

9672*4%=386.88. 386.88=10058.88.

Year 3:

10058.88*4%=402.3552. 402.3552+10058.88=10461.2352.

Year 4:

10461.2352*4%=418.449408. 418.449408+10461.2352=10879.68461

Year 5:

10879.68461*4%=435.1873843. 435.1873843+10879.68461=11314.87379.

Answer:

This equation is in slope intercept form. Are you asking for the graph or what?

Step-by-step explanation:

I need more information to answer

The distance travelled from the starting point is 29 km , the bearing is 344 degree

The missing diagram is attached with the answer.

It is the horizontal angle between the object and another object.

It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250

(a) the distance travelled from the starting point

It can be understood from the diagram that

To determine the distance , b is to determined4

By applying Cosine rule

b² = a² +c²-2ac cos\(\rm \theta\)

b² = 10²  +30²  - 2* 30*10 cos75

b² = 100+900 -600* 0.2588

b² = 100-155.2914

b² = 844.7

b = 29 km

Therefore the distance travelled from the starting point is 29 km.

(b) the bearing of the starting point from the car.

To determine the bearing ,

angle C has to be determined

By sine rule

sin C / c = sin B / b

sin C = sin 75 * 30 / 29

sin C = 0.9970

C = sin⁻¹ 0.9970

C = 85.59 degree

angle C = α +70 degree

α  = 15.59 degree

Bearing = 70 + 20 + 9 0 + 90+74 = 244 degree

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5.5

Step-by-step explanation:

\( \huge \: 5 + \frac{50}{100} = 5 + 0.5 = 5.5\)

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

y 1 3 5 7 9 is y your welcome

Answer:

the square root of 20 could be between 4 and 5 OR -4 and -5.

Step-by-step explanation:

plus or minus 4 squared is 16 and plus or minus 5 squared is 25. finally, 20 is between 16 and 25.

Hypothesis: If two angles are congruent.

Conclusion: Then they have the same measure.

The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.

Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.

For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.

In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.

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Answer:

See below

Step-by-step explanation:

Positive square root of 144 = 12

Negative square root of 144 = \(-12\)