Grace is taking a road trip that is 1,133 miles long. She has already driven 978 miles. How many
more miles does Grace need to drive?
1122 miles

Step-by-step explanation:

hmmm, what is meant by "3 times larger" ?

the area of the rectangle is 3 times larger ? that would be the normal understanding.

or the side lengths are 3 times larger ? which would make the area 9 (3×3) times larger.

for the first possibility :

area of B is 4 cm × 6 cm = 24 cm²

A is 3 times larger would mean

area of A = 3×24 = 72 cm²

for the second possibility :

A is 3 times larger would mean it side lengths would be

3×4 = 12 cm

and

3×6 = 18 cm

area of A = 12×18 = 216 cm²

or short

area of A is 9 times area of B = 9×24 = 216 cm²

as both (72 and 216) are in the list of answer possibilities, I would say that the extra info (that both rectangular are similar) indicates that the question was aiming for the second possibility.

so, A, 216 cm² is then the right answer.

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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Answer:

400.00

Step-by-step explanation:

is that what you meen ?

Hello, the answer is $450.

Here's how I got the answer...

We know Bill earns $10 per hour.. He works 40 hours at regular rate, which would make about $400.

He then works for 2 more hours, makes that $20..

He also then works for 3 more hours, makes that $30..

Now you add that up. The answer would be $450.

Answer:

26 feet

Step-by-step explanation:

Let the length of the required wire =l

The height of the tree =24 cm

We want the tree to fall to the ground 10 feet away from the base.

Ths problem forms a right triangle which I have drawn and attached below.

To determine the length of the wire l required, we use Pythagoras theorem to solve for the hypotenuse of the right triangle.

\(B$y Pythagoras theorem: Hypotenuse^2=Opposite^2+Adjacent^2\\$Therefore:\\l^2=24^2+10^2\\l^2=676\\$Take the square root of both sides\\l=\sqrt{676}\\ l=26$ feet\)

Thw wire must be 26 feet long to reach the ground.

(a)The range of X is {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}.

(b)the distribution over X is:    

X         P(X)

-10       0.00098

-8        0.00977

-6        0.04395

-4        0.11719

-2        0.20508

0        0.24609

2         0.20508

4         0.11719

6         0.04395

8         0.00977

10       0.00098

a) The range of X is {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}. The maximum value of X occurs when there are 10 heads and 0 tails, and the minimum value of X occurs when there are 0 heads and 10 tails.

b) To find the distribution over X, we need to calculate the probability of each possible value of X. Let p be the probability of getting a head on a single toss of the coin, which is 1/2 since the coin is fair. Then, the probability of getting k heads and (10-k) tails is given by the binomial distribution:

P(X=k) = (10 choose k) * p^k * (1-p)^(10-k)

Using this formula, we can calculate the probabilities for each possible value of X. The resulting distribution is:

X=-10: P(X=-10) = 0.00098

X=-8: P(X=-8) = 0.00977

X=-6: P(X=-6) = 0.04395

X=-4: P(X=-4) = 0.11719

X=-2: P(X=-2) = 0.20508

X=0: P(X=0) = 0.24609

X=2: P(X=2) = 0.20508

X=4: P(X=4) = 0.11719

X=6: P(X=6) = 0.04395

X=8: P(X=8) = 0.00977

X=10: P(X=10) = 0.00098

Therefore, the distribution over X is:

X         P(X)

-10       0.00098

-8        0.00977

-6        0.04395

-4        0.11719

-2        0.20508

0        0.24609

2         0.20508

4         0.11719

6         0.04395

8         0.00977

10       0.00098

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Work Shown:

(f+g)(x) = f(x) + g(x)

(f+g)(x) = 2x+6 + 4x^2

(f+g)(x) = 4x^2+2x+6

Answer:

Answer is=112power -4

please make me brainlest pls

Answer:

\(10^{-4}\)x 1.12

Step-by-step explanation:

4 times to the right

Answer:

The answer is 59

Step-by-step explanation:

5(8+2)+3(6-3)

5*8=40

5*2=10

3*6=18

3*-3=-9

(40+10)+(18-9)

50+9=59

The \(\pm\) symbol means "plus minus".

Writing \(1.5 \pm 0.85\) is the same as saying \(1.5 + 0.85\ \text{ or } \ 1.5 - 0.85\)

The lower bound, or left endpoint, is 1.5 - 0.85 = 0.65

The upper bound, or right endpoint, is 1.5 + 0.85 = 2.35

Based on what you have, it looks like you probably followed those steps. However, you have the items in the wrong order. You should have 0.65 listed first and 2.35 listed last. Also, you need to have "or equal to" as part of the inequality sign.

So you should have \(0.65 \le x \le 2.35\)

As for your graph, you have the endpoints in the wrong spot.

The left endpoint should be between the 0.6 and 0.7 to indicate 0.65

The right endpoint should be between 2.3 and 2.4 to indicate 2.35

See the diagram below.

Answer:

What do you need help with?

Step-by-step explanation:

Solution

For this case we have the following:

r= 5 mi

angle = 6 radians

The total circumference is given by:

The entire cycle has:

then we can create this relation_

And we can find the answer as:

then the answer is 30 mi

Answer:

y = 3.3x

Step-by-step explanation:

for the table we can determine that every hamburger delivery takes five minutes

you can do this by dividing 4 by 0.8 which gets you five

the pizza deliverys speed can be figured out by dividing 50 by 15

this gets you 3.33...

therefore y = 3.3x would be your answer as the pizza delivery is faster

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

The net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m is -2.40

Let's start by finding the distance between the electron and each point charge. The distance between the electron and the positive charge at the origin is:

r₁ = 0.200 m

The distance between the electron and the negative charge at x = 0.800 m is:

r₂ = 0.800 m - 0.200 m = 0.600 m

Now we can use Coulomb's law to find the magnitude of the electric force between each point charge and the electron. The force exerted by the positive charge is:

F₁ = k * q₁ * qe / r₁²

where qe is the charge of the electron, which is -1.60 x 10⁻¹⁹ C (negative because it is an electron). Plugging in the values, we get:

F₁ = (9.0 x 10⁹ N*m²/C²) * (4.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.200 m)

F₁ = -1.44 x 10⁻¹⁴ N

The negative sign indicates that the force is attractive, since the electron is negative and the point charge is positive.

Similarly, the force exerted by the negative charge is:

F₂ = k x q₂ x qe / r₂²

Plugging in the values, we get:

F₂ = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.600 m)²

F₂ = 1.20 x 10⁻¹⁴ N

The positive sign indicates that the force is repulsive, since the electron is negative and the point charge is also negative.

Now we can find the net electric force on the electron by adding the two forces together:

Fnet = F1 + F2

Fnet = (-1.44 x 10⁻¹⁴ N) + (1.20 x 10⁻¹⁴ N)

Fnet = -2.40

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Complete Question:

A 4.00 n C point charge is at the origin, and a second − 6.00 n C point charge is on the x-axis at x = 0.800 m.

Find the net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m.

Answer:

150 feet and reached a height of 100 feet at its highest point.

Answer: 5980 square feet

Step-by-step explanation: We know that Richard can apply fertilizer to 4485 square feet = 3/4 hour. To solve this problem, one approach is to find 1/4 then multiply by 4 to get the whole 4/4 or 1 hour. So the solution would be: 4485/3=1495 Then multiply this by 4. 1495 multiplied by 4 is equal to 5980 square feet. So Richard can apply fertilizer to 5980 square feet in 1 hour. This is solved by an anonymous 10-year-old girl.

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

\(D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095\)

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

\(T = C_{50,6} = \frac{50!}{6!44!} = 15890700\)

Then...

\(p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337\)

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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Answer:

The answer is n = 13

Step-by-step explanation:

1) Divide both sides by 3.

\( \frac{3}{24} = n - 5 \)

2) Simplify 24/3 to 8.

\(8 = n - 5\)

3) Add 5 to both sides.

\(8 + 5 = n\)

4) Simplify 8 + 5 to 13.

\(13 = n\)

5) Switch sides.

\(n = 13\)

Therefor, the answer for this equation is n = 13.

a) The combined number of $3 carwashes for cars, c, and $5 carwashes for trucks or SUVs, t, needed can be represented by the equation y = c + t.

b) If only 5 cars are washed, the number of trucks or SUVs needed to be washed to raise the full $915 is 180.

An equation is a mathematical statement that shows that two mathematical expressions are equal or equivalent.

Equations use the equation symbol (=) to show the equality of expressions.

The total amount needed for the new equipment = $915

The charge for a car wash per car = $3

The charge for cash wash per truck or SUV = $5

Let the number of cars = c

Let the number of trucks or SUVs = t

c + t = y... Equation 1

3c + 5t = 915... Equation 2

If the number of cars, c = 5

From equation 2:

3c + 5t = 915

3(5) + 5t = 915

15 + 5t = 915

5t = 900

t = 180

Thus, from equation 2, we can determine that if cars are 5, the trucks or SUVs must be 180 to meet the target.

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Answer:

84

Step-by-step explanation:

none

The number of blue marbles are 126 and the number of red marbles are 24.

Given that, a bag contains 150 marbles.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

There are 21 blue marbles for every 4 white marbles.

Here, the ratio of blue marbles to red marbles is 21:4

The number of blue marbles = 21x and the number of red marbles =4x

So, 21x+4x=150

⇒ 25x=150

⇒ x=150/25

⇒ x=6

Then blue marbles=21x=126 and red marbles = 4x =24

Therefore, the number of blue marbles are 126 and the number of red marbles are 24.

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"Your question is incomplete, probably the complete question/missing part is:"

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

Answer:

a. The probability that the finished product selected is defective is 2.45%.

b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Step-by-step explanation:

Let A represents the defective product.

We also have the following from the question:

P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30

P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45

P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25

P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02

P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03

P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02

We can therefore proceed as follows:

A. Suppose that a finished product is randomly selected. What is the probability that it is defective?

To determine this, the rules of elimination is applied and we have:

P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)

Where;

P(A) = Probability that the selected product is defective = ?

Substitutes the values defined above into equation (1), we have:

P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)

P(A) = 0.006 + 0.0135 + 0.005

P(A) = 0.0245, or 2.45%

Therefore, the probability that the finished product selected is defective is 2.45%.

B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

To calculate this, the Bayes’ rule is employed as follows:

P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A)  ………….... (2)

Where;

P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?

Also, from the values already defined and obtained in part A, we have:

P(B3) = 0.25

P(A/B3) = 0.002

P(A) = 0.0245

Substituting the values into equation (2), we have:

P(B3/A) = (0.25 * 0.02) / 0.0245

P(B3/A) = 0.005 / 0.0245

P(B3/A) = 0.2041, or 20.41%

Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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