Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.

Answer:

x=90, y= 130

Step-by-step explanation:

38.7 hours would have passed until the trains are 580 miles apart

The given parameters are

Train 1 = 80 mph

Train 2 = 65 mph

The difference in the speeds of the trains is

d = 80mph - 65mph

Evaluate

d = 15mph

The distance moved is

Distance = 15 * t

At 580 miles apart, we have

15 * t = 580

Divide by 15

t = 38.7 hours

Hence, 38.7 hours would have passed until the trains are 580 miles apart

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The x-intercept of given equation is x=6 and point is (6,0).

Given the equation is -5x+3y=-30.

Here, we will find the x-intercept of the given equation.

The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.

We will find the x-intercept by substituting y=0 and applying the inverse operations.

Firstly we will substitute y=0 in equation, we get

-5x+3(0)=-30

Now, we will simplify this, we get

-5x+0=-30

-5x=-30

Further, we will divide both sides with -5, we get

-5x/-5=-30/-5

x=-6

Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.

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₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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Answer: 286.474227

Step-by-step explanation:   The answer is correct if doing division, if not then this is wrong. I divided 277.88 with 0.97 and got 286.474227

Answer:

5 1/10

Step-by-step explanation:

let me know if you need an explanation

Answer: y=4/5x-1.5

Step-by-step explanation: slope intercept form is y=mx+b

m is going to be the slope of the line which in this case is 4/5 (rise over run)

b is going to be where the line intercepts the y-axis, in this case it looks to be at -1.5. Since the y-intercept is in the negatives, we subtract b.

x is an just a variable to be added in for if/when this equation is used.

It will take Molly and Rob 54/15 hours to mop the warehouse.

For the given question;

Rob takes 6 hours for cleaning the ware house.

Let 'R' be the work done by rob.

Then, work done by Rob in 6 hours is 1/R = 1/6.

Similarly;

Let work by Molly is 'R'.

The, work done by Molly in 1 hour is 1/M = 1/9.

The total work done by both is 1 hour is;

1/R + 1/M = 1/6 + 1/9

Om simplification;

1/R + 1/M = 15/54.

Thus, the total time taken by doing the work is; 54/15 hours.

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The remainder and factor of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] is [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and [tex]0[/tex]

As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] using remainder theorem concept.

Before solving this, we need to know the concept of remainder theorem.

According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."

Hence using the same concept we can conclude that the factors are [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and remainder is [tex]0[/tex]

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The required amount that was borrowed is 7000.

Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.

Simple interest is defined as the percentage of earnings on the lending for a period of time

Here,
interest  = [principal * rate * time  ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.

Thus, the required amount that was borrowed is 7000.

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The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the unknown number. The number is multiplied by 7 and the added with 27. The result is equal to 111. Hence:

7x + 27 = 111

The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

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Answer:

15 gum

Step-by-step explanation:

55-40 = 15

Answer:

The answer is B

Step-by-step explanation:

I am 100% sure

The value indicated of the function indicated on the graph of the function is 2

The graph represents the given parameter

The given graph is a linear function

This is so because the graph is represented by a straight line

A linear function is represented as

f(x) = mx + c

Where the vertex is

m represents the slope

c represents the y-intercept

From the given graph of the equation, we have

f(1) = 2

This means that

When x = 1, the value of f(x) is 2

Hence, the value indicated of the function indicated on the graph of the function is 2

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The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).

According to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:

sin θ = √(1 - cos² θ)

sin θ = √[1 - (- √2 / 2)²]

sin θ = √(1 - 1 / 2)

sin θ = √(1 / 2)

sin θ = √2 / 2

And the value of the tangent:

tan θ = sin θ / cos θ

tan θ = (√2 / 2) / (- √2 / 2)

tan θ = - 1

By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).

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Answer:

I=$10800

Step-by-step explanation:

I=($120000×9×1)÷100

I=$1200×9=$10800

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

In his book The Wealth of Nations, the 18th-century economist Adam Smith proposed the concept of absolute advantage to describe how countries could benefit from trade by specializing in producing and exporting the goods that they can make more successfully than other countries.

On the other hand, China, Thailand, and Vietnam create and export low-cost manufactured goods. These three countries benefit greatly from their much lower unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Answer: E & B

Step-by-step explanation:

Answer:

It would be the last one D

Step-by-step explanation:

Because -1/x would be the recipricol graphing equation (I think) maybe not the recipricol but because the x is on bottom it's gonna make two graphs. I hope this helps some

Answer: 1/2  ([tex]\pi[/tex]) sin [tex]\pi[/tex] +  ∫ x cos [tex]\pi ^{2}[/tex] dx + c

               1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] +  ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c

Step-by-step explanation:

We can't just integrate straight away, so we try substitution.

While trying substitution, we observe that we could integrate cos([tex]x^{2}[/tex]) x dx

by substitution.

So, let's split the integrand and use integration by parts.

we can represent θ = x,

so, we can write,

                                = ∫[tex]x^{3} cos x^{2} dx[/tex]

                                = ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]

We notice that we could rewrite this as ∫ u cos(u) 1/2 du, but we don't see how to integrate that, so we'll continue with parts for now.)

                            = ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]

Let    u=[tex]x^{2}[/tex]         and      dv = [tex]cos(x^{2} )xdx[/tex]

Clearly     du= 2x dx,    and

we can integrate  dv by substitution to get.

                          = 1/2 sin [tex]x^{2}[/tex]

uv - ∫ vdu = 1/2 [tex]x^{2}[/tex] sin([tex]x^{2}[/tex]) - ∫ x sin ([tex]x^{2}[/tex]) dx

Integrate by substitution again to finish.

∫ [tex]x^{3} cos (x^{2}) dx[/tex] = 1/2 [tex]x^{2} sin x^{2}[/tex] + ∫ x cos [tex]x^{2}[/tex] dx + c

Then,

   x = √[tex]\pi[/tex]    and     √[tex]\frac{\pi }{2}[/tex]

 ∫ [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 (√[tex]\pi ^{2}[/tex]) sin √[tex]\pi ^{2}[/tex] + ∫ x cos [tex]\pi ^{2}[/tex] dx + c

                        = 1/2 ([tex]\pi[/tex]) sin [tex]\pi[/tex] +  ∫ x cos [tex]\pi ^{2}[/tex] dx + c

∫  [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] +  ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c            

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Answer: The first one is 36. The second one is 0. The third one is 1/216 and the last on is 1/1,296.

Step-by-step explanation:

Answer:

he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year

Step-by-step explanation:

sorry if i got this wrong

Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.

According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.

One Kilometer is roughly equivalent to 0.621 miles.

Brett delivers produce for the farmer using his truck.

He gets paid a travel allowance of 64 cents per kilometer.

So to calculate his total allowance we multiply the allowance with the distance travelled.

Brett gets paid: $0.64×87=$55.68

Hence Brett gets paid $55.68. So the first option is correct.

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Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

Z = (x - μ)/δ

Where:

If 15 percent of the rainbow trout are longer than 15 inches, then we have:

P(x > 15) = 0.15

From the z-table, the z-value which corresponds to a mean of 0.15 is given by:

z-value = -1.036

Substituting the given parameters into the formula, we have;

Z = (x - μ)/δ

-1.036 = (15 - μ)/2.4

-1.036 × 2.4 = 15 - μ

-2.4864 = 15 - μ

μ = 15 + 2.4864

Mean, μ = 17.4864

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Complete Question:

The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?

A. 26 inches

B. 18 inches

C. 30 inches

D. 33 inches

E. 34 inches

Answer:

Radius AB = 9.3 units

Step-by-step explanation:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

Radius AB = 9.3 units

Answer: Pilot Error: 15.9%

Human Error: 3.8%

Weather: 19.3%

Mechanical Problems: 41.8%

Sabotage: 19.2%

Step-by-step explanation:

260+62+315+682+313=

322+997+313=

1319+313=1632 total crashes

Pilot error: 260/1632=

0.159=

0.159*1=

0.159*100%=15.9%

Human error: 62/1632=

0.03799=

0.038=

0.038*100%=3.8%

Weather: 315/1632=

0.193=

0.193*100%=19.3%

Mechanical Problems: 682/1632=

0.41789=

0.418=41.8%

Sabotage: 313/1632=

0.191789=

0.192=19.2%