HELP I WILL GIVE BRAINLIEST!!!! 14. Select all the situations that could be represented by the expression 40. (-18).
A hot air balloon descends 18 inches per a second for 40 seconds.
A hot air balloon ascends 40 inches per a second for 18 seconds.
Trey withdraws $18 from his checking account once a week for 40 weeks.
Suzanne deposits $18 into her savings account once a week for 40 weeks.
Morty withdraws $40 from his checking account once a month for 18 months.

Answer:

113

Step-by-step explanation:

30° + 37° + angle c = 180° (Sum of all angles of a triangle is 180°)

or, 67° + angle c = 180°

or, angle c = 180° - 67°

or, angle c = 113°

87.5

25x7=175

175/2=87.5

The total kilograms of cake served is 20kg while 0.125kg is meant for each person.

Number of attendees = 160

Number of persons per table = 5

kilogram per table = 0.625

(Number of attendees/ Persons per table ) × kilogram per table

(160/5) × 0.625

32 × 0.625 = 20kg

Total kilograms of cake served / Number of attendees

quantity per person = 20/160

quantity per person = 0.125kg

Hence, 0.125 kg is meant for each person.

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Complete question:

160 people attended a carnival where five persons sat on each table. Each table was served 0.625

kg of chocolate cake. How many kilograms of cake was served? What was the quantity of cake meant for each person?

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer:

-20

Step-by-step explanation:

Answer: -20

Written as an equation, this would be

(-2 + -3 - 4 + -5 - 6)

-2 + -3 is -5.    ;    -5 - 4 is -9.   ; -9 + -5 is -14   :  -14-6 is -20

This means that our answer is -20.

negative 2 plus negative 3 minus 4 plus negative 5 minus 6 equals -20.

I hope this helped & good luck <3!!

Answer:

5s + 28.3

Step-by-step explanation:

12.8 + 15.5 = 28.3.

-3s + 8s = 5s.

so 12.8-3s+15.5+8s = 5s + 28.3

Answer:

A

Step-by-step explanation:

The list has the sides of ΔFGH in order from shortest to longest side GF < side HF < side HG option (C) is correct.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

In ΔFGH, m∠F = 119° and m∠G = 40°.

From the data given in the question:

The correct order should be:

side GF < side HF < side HG

Thus, the list has the sides of ΔFGH in order from shortest to longest side GF < side HF < side HG option (C) is correct.

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Answer:

The Answer is 147.2

Step-by-step explanation:

Hope this helps Have a great day and Sry if i'm wrong :)

Answer:

2

2Step-by-step explanation:

2

Answer:

y = -1/4x + 3

Step-by-step explanation:

:)

Plane AB intersects the sphere at a distance of 7″ from center O.

Let r be the radius at the intersection of plane and sphere.

Area at the intersection = πr²

Given area at the intersection = 576π

πr² = 576π

r² = 576

Let R be the radius of the sphere.

R² = r²+7²

R² = 576+49

R= 25

Volume of the sphere = (4/3)πR³ = (4/3)π(25)³ = 65449.85

Ans: 65449.85 in³

Yvonne stops for water after 6/8 on the race for one more time.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Yvonne ran 3/8 of the race stopping for water.

This means,

After every 3/8 Yvonne stopped for water.

Now,

Total distance = 1

Distance remaining after one stop.

= 1 - 3/8

= 5/8

And,

Another stop will be after 3/8.

This means,

Distance remains after the second stop.

= 5/8 - 3/8

= 2/8

Now,

1 - 2/8

= 6/8

The second stop is after 6/8 of the race.

Thus,

Yvonne stops for water after 6/8 on the race for one more time.

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The integral that gives the length of the parametric curve x(t) = 2t², y(t) = t, 0 ≤ t ≤ 8 is: ∫₀⁸ √(16t² + 1) dt

To find the length of the parametric curve

\(x(t) = 2t^2, y(t) = t, 0 ≤ t ≤ 8\)

, we need to evaluate the integral:

\(∫√[(dx/dt)² + (dy/dt)²]dt\)

where dx/dt and dy/dt are the first derivatives of x(t) and y(t) with respect to t, respectively.

Step 1: Compute dx/dt ,

\( dx/dt = d(2t^2)/dt = 4t dy/dt = d(t)/dt =1\)

Step 2: Compute the square of the derivatives and sum them

(4t)² + (1)² = 16t² + 1

Step 3: Find the square root of the sum √(16t² + 1) Step 4: Set up the integral and evaluate it over the given interval [0, 8] Length = ∫₀⁸ √(16t² + 1) dt

Thus, the integral that gives the length of the parametric curve x(t) = 2t², y(t) = t, 0 ≤ t ≤ 8 is: ∫₀⁸ √(16t² + 1) dt

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Correct answer is "Examine the following integral gives the length of the parametric curve or not x(t) = 2t², y(t) = t, 0 ≤t≤8"

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

17x + 10x -5 +  50 = 180

Combine like terms

27x + 45 = 180

To find the valu of x, we have to isolate x. To isloate x

Step 1: Subtract 45 from both sides

           27x = 180 - 45

           27x = 135

Step 2: Divide both sides by 27

               x = 135/27

x = 5

For an acceleration function in (m/s²), a( t) = t + 4,

a) The velocity of particle at time t is \( v(t) = [ \frac{t²}{2} + 4 t + 5] \) m/s.

b) The distance traveled during the time interval, 0≤t≤10 is equals to 416.66 m.

We have a acceleration function of a moving particle is a( t)= t + 4 --(1)

Initial velocity of particle, v( 0) = 5 m/s². The particle is moving along a line.

a) As we know acceleration is defined as the rate of change of velocity of particle with respect to time, that is \(a = \frac{ dv}{dt}\)

To determine the velocity at time t, we have to use the integration with respect to time t. So, \(v(t) = \int a(t) dt \)

which is an indefinite integral. So, plug the value of acceleration in above formula, \(v(t) = \int ( t + 4) dt \)

\( = [ \frac{t²}{2} + 4 t] + c \)

Using initial velocity v(0) = 5

=> 5 = 0 + c

=> c = 5

So, velocity is \( v(t) = [ \frac{t²}{2} + 4 t + 5] \) m/s².

b) Now, as we know distance is always positive. Velocity is defined as the rate of change of distance with respect to time. So, to determine the position or distance at time t, we have to use the integration . Therefore, distance on interval 0≤t≤10 is

\(d = \int_{0}^{10} v(t)dt \)

\( = \int_{0}^{10} [ \frac{t²}{2} + 4 t + 5] dt \)

\( = [ \frac{t³}{6} + 4 \frac{ t²}{2} + 5t]_{0}^{10} \)

\( = [ \frac{10³}{6} + 4 \frac{ 10²}{2} + 5× 10] \)

= 200 + 50 + 166.66

= 416.66 m

Hence, required value is 416.66 m.

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The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

If line AB and line CD are parallel, and line EF intersects both lines at points G and H respectively, then the angles formed on opposite sides of line EF and on the exterior of the parallel lines are congruent.

The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

In symbols, the theorem can be written as:

∠1 ≅ ∠4

where ∠1 and ∠4 are alternate exterior angles.

This theorem is useful in solving problems involving angles and parallel lines, and it is commonly used in geometry proofs.

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value of side x in the triangle is 6 ( simplest radical form with a rational denominator is 6/1).

A right triangle is a triangle that has one angle measuring 90 degrees, which is also called a right angle. The hypotenuse is the side that faces the right angle, while the legs are the other two sides.

Trigonometric functions are a set of mathematical functions used to relate the angles and sides of a right triangle. Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six fundamental trigonometric functions (cot).

In the given right angles triangle

Using trigonomteric function

Tan30°=√12/x

1/√3=√12/x

x=√12×√3

x=√36

x=6

Hence, value of side x in the triangle is 6.

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The resultant moment about a both forces is zero. The statement is true.

A man B exerts a force on the rope, P = 30 lb

To find:

The magnitude of force, F

Consider a statement:

"The resultant moment about A of both forces is Zero."

Diagram attached at the end of the  solution

\($ \theta=\tan ^{-1}\left(\frac{3}{4}\right) \\\)

\(& \theta=36.87^0\)

To prevent the pole from rotating, so that the resultant moment is about A = 0

We will apply the equilibrium Equation \($\sum \mathrm{M}_{\mathbf{A}}=0$\)

Here force \($P \times \sin (45)$\) and \($F \times \sin (\theta)$\) will not produce the moment at A.

Taking clockwise moment as a negative and anticlockwise moment as a positive.

\(& \mathrm{P} \times \cos (45) \times(18)-\mathrm{F} \times \cos (\theta) \times 12=0 \\\)

\(& 30 \times \cos (45) \times(18)=\mathrm{F} \times \cos (\theta) \times 12 \\\)

\($ \mathrm{~F}=\frac{30 \times \cos (45) \times(18)}{\cos (36.87) \times 12} \\\)

F = 39.77 lb

Based on the given parameters,

The magnitude of force, F = 39.77 lb

So there exists the force by considering the resultant moment about an of both forces as zero.

The statement is true.

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The Solution.

The given number is

By fractional index law of indices, we have

This implies that:

Hence, the correct answer is: a = 3, b = 6, and c = 5.

Answer:

Step-by-step explanation:

Rectangle has equal diagonals:

Substitute and solve for x:

Find the length of the diagonals:

Diagonals of the rectangle bisect each other:

Diagonals of rectangle are equal

\(\\ \tt\Rrightarrow 5x+1=8x-32\)

\(\\ \tt\Rrightarrow 1+32=8x-5x\)

\(\\ \tt\Rrightarrow 33=3x\)

\(\\ \tt\Rrightarrow x=11\)

Answer:

8

Step-by-step explanation:

Hope it helps pl give brainliest! :D

Answer:

6.52

Step-by-step explanation:

12.8 + 3.42 = 16.22

16.22 - 9.7 = 6.52

THEREFORE I HEREBY DECLARE THE ANSWER IS INDEED 6.52$ PER SHARE.

A reasonable prediction for the number of times the spinner will land on the number 3 is 3 times.

Since the spinner has 8 congruent sections and is spun 24 times, we can use probability to make a reasonable prediction for the number of times it will land on the number 3.

1. Calculate the probability of landing on the number 3 for a single spin:
Since there are 8 congruent sections, the probability of landing on the number 3 is 1/8.

2. Determine the expected number of times the spinner will land on the number 3:
To do this, multiply the probability of landing on the number 3 (1/8) by the total number of spins (24).
Expected number of times = (1/8) * 24

3. Simplify the expression:
Expected number of times = 3

So, a reasonable prediction for the number of times the spinner will land on the number 3 is 3 times.

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Answer:

x=5

Step-by-step explanation:

Answer:

$810 and the other is $730

$80 more

Step-by-step explanation:

.02 x 8000 = 160

160 + 650 = 810

.06 x 8000 = 480

480 + 250 = 730

810-730 = 80

The surface area of the rectangular prism to the nearest tenth is 158.1 m²

Surface area = 2(LW+LH+WH)

Where,

Length, L = 9.4m

Width, W = 4.1m

Height, H = 3.0m

Surface area = 2(LW+LH+WH)

= 2(9.4×4.1 + 9.4×3.0 + 4.1×3.0)

= 2(38.54 + 28.2 + 12.3)

= 2(79.04)

= 158.08 m²

Ultimately, the prism with dimensions 9.4m, 3.0m, 4.1m have a surface area of 158.08 m².

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Three painters were working on Monday and Tuesday to paint fences. The first worker will paint the fence alone in 66 minutes on Tuesday.

In a work-rate problem, the amount of work done is given by the formula W = r×t where W is the amount of work done, t is time, and r is the rate.

Here all of the painters are painting at the same rate r. On day 1, one worker painted for 3.5 hours while two other workers painted for 1.5 hours. On day 2, one worker painted for 2.9 hours while the two other workers painted for 2.9 hours less the time the first worker painted by himself.

Then, we write the equation from the given situation as,

3.5W +1.5(2W) = 2.9W + (2.9-t)2W

Divide by W, and solve for t,

\(\begin{aligned}3.5 + 1.5(2)&= 2.9 + (2.9- t)2\\3.5+3&=2.9+5.8-2t\\2t&=2.2\\t&=1.1\end{aligned}\)

This 1.1 hours can be written as 1.1×60=66 minutes.

Therefore, the required answer is 66 minutes.

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