3. Suppose a new car is $10000 and a new truck is $15000. If they both depreciate $2000 after
one year then the car's percent of decrease must be the same as the truck's percent of decrease.

9514 1404 393

Answer:

  460 feet

Step-by-step explanation:

The tangent relates the measures to the angle:

  tan(angle of elevation) = (Godzilla height)/(distance away)

  tan(49°) = (Godzilla height)/(400 ft)

  Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft

Godzilla is 460 feet tall.

Answer:

godzilla is 393 foot tall

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Answer:

im sorry im not sure

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Since Kendra painted 40% of the banner and Benicio painted the same, it would equal 80. Since its asking you what is left it would be 20, when you convert 20 into a fraction you'll get 1/5

I hope this helped

Answer:

1/5

Step-by-step explanation:

1/5 is the answer

&"%;;'cgj

Answer:

15

Step-by-step explanation:

trust

The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.

Given that, the rhombus is CDEF and the slope of FC is 5/2.

Here, sides FC and CD are perpendicular.

The slope of a line perpendicular to given line is m₁=-1/m₂

Slope of CD is -2/5.

Therefore, option B is the correct answer.

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Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

Step-by-step explanation:

1*(8^3) + 1*(8^2) + 3*(8^1) + 0*(8^0) = 600

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Therefore , the solution of the given problem of unitary method comes out to be the fence's true length is about 17.92 feet.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

We can utilise the idea of proportions to determine the fence's actual length based on the scale drawing.

Given:

24 feet are represented by 3.75 inches at the given scale.

Let's establish a ratio:

=>  24 feet x 3.75 inches = 2.8 inches

where x represents the fence's real length.

If we cross-multiply, we obtain:

=>  24 feet * 2.8 inches * 3.75 inches

If we simplify, we get:

=>  3.75x = 67.2

By multiplying both sides by 3.75, we obtain:

=>  x = 67.2 / 3.75

=> × ≈ 17.92 feet

Therefore, the fence's true length is about 17.92 feet.

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He can do that by substracting 3/7 from one to get 4/7.

The answer is A.

Answer:

5/8

Step-by-step explanation:

there is 8 total and 5 of them are basketballs

Answer:

$1.60

Step-by-step explanation:

12.73÷8 = 1.59125

(1.59 rounded is 1.60)

Answer:

  $1.59 per lb

Step-by-step explanation:

What is a "unit price" depends on the unit of interest. Unit price tags on the shelf in a store are supposed to aid a shopper in determining the best value. In the situation described here. possible unit prices are ...

  cost per bag

  cost per pound

__

Obviously, the cost per bag is ...

  ($12.73)/(1 bag) = $12.73 per bag

The cost per pound will be ...

  ($12.73)/(8 lb) = $1.59125 /lb ≈ $1.59 per lb

Answer:

did you get the answer yet

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

Answer:

work is shown and pictured

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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If ∆ABC is congruent to ∆PQR, find the length of QR.

Given that If ∆ABC is congruent to ∆PQR:

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent.

When all the sides of two triangles are congruent, the angles of those triangles must also be congruent.

From the triangle ABC, the side BC = 4,

Hence the PQR, the side QR = 4 since they are congruent

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

q = M - 3p

Step-by-step explanation:

M = q+3p

to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.

M-3p = q

Answer:

q=m-3p

Step-by-step explanation:

m=q+3p

-3p. -3p

-3p+m=q

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

f(x + 3) = x² + 3x - 2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

f(x) = x² - 3x - 2

f(x + 3) is x = x + 3

Step 2: Find

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

Step-by-step explanation:

350minutes / $15 = 23.33 minutes per dollar

425minutes/$20 = 21.25 minutes per dollar

Looks like you get more minutes per dollar out of the $15 dollar plan. :)

Answer:

the 15 dollar plan

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;

\(a^2 + b^2 = c^2,\\( 1 )^2 + ( 2 )^2 = c^2,\\\\1 + 4 = c^2,\\c^2 = 5,\\\\c = ( About ) 2.2\)

Solution; Option B

Answer:

3 feet 6 inches

Step-by-step explanation:

If we add those inches together, we get 42 inches. Turn that to feet (12 in in a foot) and we get 3.5 feet, or 3 feet and 6 inches.

Answer:

it will be 322 because 8 + 4 is 12 and 1+2 is 3

Answer:

the answer is 26.3157895

Step-by-step explanation:

Let me know if this helps

Answer:

1/15 per min

Step-by-step explanation:

3 times 5 equals 15

Put the 15 on the bottom of the fraction and then put the 1 on top of the fraction, there you go.