select all values equivalent to -10/7
A.-10/-7
B.-3 1/7
C.1 3/7
D.- -10/-7
E. -1 3/7

Answer:

Solve it

Explain:

1

Combine multiplied terms into a single fraction

1

4

+

1

8

=

\frac{1}{4}x+18=x

41​x+18=x

1

4

+

1

8

=

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The antiderivative of the function f(x) = e^(-x) - e^(4x) is given by -e^(-x) - (1/4)e^(4x)/4 + C, where C is the constant of integration. This represents the general solution to the indefinite integral of the function.

In simpler terms, the antiderivative of e^(-x) is -e^(-x), and the antiderivative of e^(4x) is (1/4)e^(4x)/4. By subtracting the antiderivative of e^(4x) from the antiderivative of e^(-x), we obtain the antiderivative of the given function.

To evaluate a definite integral of this function over a specific interval, we need to know the limits of integration. The indefinite integral provides a general formula for finding the antiderivative, but it does not give a specific numerical result without the limits of integration.

To compute the antiderivative of the function f(x) = e^(-x) - e^(4x), we can use basic integration formulas.

∫(e^(-x) - e^(4x))dx

Using the power rule of integration, the antiderivative of e^(-x) with respect to x is -e^(-x). For e^(4x), the antiderivative is (1/4)e^(4x) divided by the derivative of 4x, which is 4.

So, we have:

∫(e^(-x) - e^(4x))dx = -e^(-x) - (1/4)e^(4x) / 4 + C

where C is the constant of integration.

This gives us the indefinite integral of the function f(x) = e^(-x) - e^(4x).

If we want to compute the definite integral of f(x) over a specific interval, we need the limits of integration. Without the limits, we can only find the indefinite integral as shown above.

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Answer:

912 lil fishies

Step-by-step explanation:

since its 3% per year, and 8 years, that's 24%. 1200 x 24% is 288, and 1200-288 is 912 lil fishies :)

hope this helps!!

brainliest is very appreciated!

If Neely has $1.73 in coins and he gives his friend 1 quarter and 3 nickel , then the value of coins he has left is $1.65   .

the value of number of coins Neely has is = $1.73  ;

he gives his friend "1 quarter" , and the value of 1 quarter in dollar is = $0.25

the amount left with Neely is = $1.73 - $0.25 = $1.48 ;

next he gave his friend "3 nickels" , and value of 3 nickels in dollars in $0.15 ;

So , the amount left with Neely is - $1.48 - $0.15 = $1.65  .

Therefore , the Neely is left with $1.65 value of coins .

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The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

From the complete question, the area of the shaded region 1 will be:

= Area of regular hexagon - Area of regular pentagon

The shaded region 2 will be:

= Area of a square - Area of equilateral triangle

Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

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The solution of the system using elimination method is x = 3 and y = 3

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

To solve this problem we must establish the equations according to the given data and solve the operations:

4x + 2y = 18       (1)

2x + 3y = 15      (2)

We have two equations with two unknowns, using the elimination method we have to multiply the (2) by -2 and we get:

-2*(2x + 3y) = 15

-4x - 6y = -30    

Now we solve the system:

4x  + 2y   = 18       (1)

-4x - 6y   = -30      (2)

0x   -4y   = -12

Clearing the variable:

-4y = -12

Multiply by (-1) we have:

4y = 12

y = 12/4

y = 3

Replacing the value of y in equation (1) we get the value of x:

4x + 2y = 18       (1)

4x +2*3 = 18

4x + 6 = 18

4x = 18-6

4x = 12

x = 12/4

x = 3

Both x and y are equal to 3 = (3 , 3)

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Correctly written question:

What is the solution of the system? Use the elimination method.

4x + 2y = 18

2x + 3y = 15

If one exterior angle of a regular polygon measures 72°, the measure of one interior angle can be determined using the relationship between exterior and interior angles in a polygon.

In a regular polygon, all exterior angles are congruent, meaning they have the same measure. The sum of the measures of the exterior angles of any polygon is always 360°. Therefore, if one exterior angle measures 72°, the polygon must have 360° divided by 72°, which is 5 sides or vertices.

To find the measure of one interior angle of a regular polygon, we can use the formula:

Interior angle = 180° - Exterior angle

Since we know the exterior angle measures 72°, we can substitute it into the formula:

Interior angle = 180° - 72°

Interior angle = 108°

Therefore, the measure of one interior angle in this regular polygon is 108°.

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Answer:

Average Velocity= 70 miles per hour

Step-by-step explanation:

Distance= s

Time = t

s(t)=10t^2

Putting the values

s(2) = 10 (2)^2= 10&4

s= 40

s(5) = 10 (5)^2 = 10*25

S(5)= 250

The average velocity is defined as the rate of change of speed in unit time.

So

Speed= distance/time

Velocity = Speed in a definite direction

Average Velocity= Displacement/ Time

Average Velocity= Change in distance/ Change in time

s(5) - s(2)/ t(5)- t(2)

= 250-40/5-2= 210/3= 70 miles per hour

Answer:

169 / 14

Step-by-step explanation:

7/1 + 71/14 = 7/1 * 14/14 + 71/14

= 98/14 + 71/14

= (98 + 71) / 14

= 169 / 14

So, the answer is 169 / 14

Answer:

45 feet

Step-by-step explanation:

Set up Ratios

1/2 in/5 ft = 4 1/2 in/x

Solve for x by cross-multiplying:

\(\frac{1/2}{5}\) times \(\frac{4 1/2}{x}\)

4 1/2 times 5 = 22 1/2

1/2 times x = 1/2x

22 1/2 = 1/2x

45 = X

Therefore the actual length of the bus is 45 feet.

Hope it helps :)

Answer:

14.4 cm

Step-by-step explanation:

We solve the above question using Pythagoras Theorem

The formula is given as:

c ² = a² + b ²

Where:

c = Hypotenuse

a = 8cm

b = 12 cm

Hence,

c² = 8² + 12²

c² = 64 + 144

c² = 208

We square root both sides

c = √(208)

c = 14.422205102 cm

Approximately to the nearest tenth = 14.4 cm

Answer:

a = $125.36, b = $729.35, c = $49.53, d =$500, f =$3.50, p =$1,450, and w =

$60

Step-by-step explanation:

The statement that describes the content of the two boxes is that the box on the top contains a pure substance, while the one on the bottom contains a mixture.

A pure substance often refers to a specific element such as nitrogen, helium, etc. that has not been modified or mixed with others.

On the other hand, a mixture includes two or more elements mixed.

The first box contains only nitrogen, which is a pure substance.

Different from the first box, this box contains two types of substances carbon and oxygen, which is why particles have two different colors. This means the content is a mixture.

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Answer:

y = -x/3 -5

Step-by-step explanation:

when two lines are perpendicular, the relation between the slopes of the lines m1 and m2

m1m2 = -1

The general equation of a line is given as

y = mx + c where m is the slope and c is the intercept

Considering the given equation

6y-18x=12

6y  = 18x + 12

Divide through by 6

y = 3x + 2

comparing with y = mx + c,

m = 3

hence the slope of the perpendicular line m2

= -1/3

Given that the line passes through the point (0, -5)

Using the equation y - y1 = m(x - x1) to find the equation

y - - 5 = -1/3(x - 0)

y + 5 = -x/3

y = -x/3 -5

Answer:

432 cubic inches

Step-by-step explanation:

Area = Length * Width * Height

L= 12 in.      W= 9 in.      H=4 in.

A= 12 * 9 * 4

A= 108 *4

A= 432 cubic inches

The work done by F over the curve C in the direction of increasing t is 1.

We can find the work done by F over the curve using the line integral:

Work = int_C F . dr

where C is the curve defined by r(t) = ti + t^2 j + tk, 0 <= t <= 1, and dr is the differential vector along the curve.

To compute the line integral, we need to first find the differential vector dr and the dot product F . dr. We have:

dr = dx i + dy j + dz k = i dt + 2t j + k dt

F . dr = (2xy dx + 2y dy - 2yz dz) = (2xy dt + 4ty dt - 2yz dt) = (2xy + 4ty - 2yz) dt

Thus, the line integral becomes:

Work = int_0^1 (2xy + 4ty - 2yz) dt

To evaluate this integral, we need to express x, y, and z in terms of t. From the equation for r(t), we have:

x = t

y = t^2

z = t

Substituting into the integral, we get:

Work = int_0^1 (2t*t^2 + 4t*t^2 - 2t^2*t) dt = int_0^1 (4t^3 - 2t^3) dt = int_0^1 2t^3 dt

Evaluating the integral, we get:

Work = [t^4]_0^1 = 1

Therefore, the work done by F over the curve C in the direction of increasing t is 1.

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Answer: He received $3.51 in change.

Step-by-step explanation:

To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).

It will look like this:

$20.00 - $16.49 = $3.51

Answer:3 dollars and 51 cents

Step-by-step explanation:

Answer:

301

Step-by-step explanation:

bro :(

Answer:

301

Step-by-step explanation:

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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Answer:

y≥3x-1

Step-by-step explanation:

i did the thing

and y≥the mx+b

m=slope

b=y intercept

the symbol determines which way the shaded part faces

pls mark brainliest

Answer:

the guy up there is correct

Step-by-step explanation:

i tried the answer and it was correct

The solution to the inequality expression is:

It is satisfied for x ∈ (−∞, −8) ∪ (5, ∞)

The inequality we are to solve is given as:

x² + 3x > 40​

First subtract 40 from both sides to get:

x² + 3x - 40 > 0

f(x) = x² + 3x - 40 is a well behaved, continuous function, so the truth of the inequality will only change at the points where f(x) = 0.

Factorizing gives us:

x² + 8x - 5x - 40

x(x + 8) - 5(x + 8)

= (x - 5)(x + 8)

Thus;

x = 5 and -8 are solutions

This inequality is equivalent to (x + 8)(x − 5) > 0 which is satisfied for x ∈ (−∞, −8) ∪ (5, ∞)

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The correct question is:

Solve the inequality x² + 3x > 40​

Answer:

The National American Woman Suffrage Association (NAWSA) was an organization formed on February 18, 1890, to advocate in favor of women's suffrage in the United States.

(Have a nice day)

the answer is t<-48

i hope this helped you if you need the explanation lmk

No, we would not expect about 95% of the samples to have their variances within 0.008 of 0.009.

The variance of a normal distribution with mean μ and variance σ^2 is given by σ^2, which in this case is equal to (0.004)^2 = 0.000016.

The variance of the sample means, on the other hand, is given by σ^2/n, where n is the sample size. In order for about 95% of the samples to have variances within 0.008 of 0.009, we would need the sample size to be approximately equal to:

n ≈ σ^2 / (0.008 - 0.009)^2 = 62500

This means that we would need very large samples for this to be true. However, if the sample size is relatively small, then the distribution of sample means will not necessarily be normal and the Central Limit Theorem may not apply.

In that case, the distribution of sample variances will not necessarily follow the same pattern as the distribution of the population variance, and it may not be possible to make predictions about the sample variances based on the population parameters.

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The null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

The null hypothesis is that two possibilities are the same. The null hypothesis is that the observed difference is due to chance alone.

A type I error occurs if an investigator rejects a null hypothesis that is actually true in the population.
Hence, the null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

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Answer:

\(45120 in^2\)

Step-by-step explanation:

Area of Taylor's Banner (AT): \(A_T = 8*564=4512 in^2\)

Area of Emily's Banner (AE): \(A_E=10*A_T\)

Plugging in AT: \(A_E = 10 * 4512 = 45120 in^2\)

The Area of Emily's Banner is 45120 inch²

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle= length x width

Given:

Taylor’s banner : 8 inches tall and 564 inches wide.

Area of Taylor's Banner= l x w

                                       = 8 x 564

                                       = 4512 inch²

and, area of Emily’s banner is 10 times as large as the area of Taylor’s banner.

So, Area of Emil's Banner= 10 x 4512

                                          = 45120 inch²

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