What percent of 122 is 22

Step-by-step explanation:

if one pump = x

the other pump = 2x

therefore

x + 2x = 8 minutes

3x = 8 minutes

Divide through by 3

x = 8/3 minutes

converting it to seconds

x = 8/3 * 60

x = 160 seconds

therefore

the first pump = 2x = 2 * 160 = 320 seconds

the second pump = x = 160 seconds

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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Answer:

The number of edges

Step-by-step explanation:

quad means 4 so all quadrilaterls have 4 sides.

Answer:

the answer to your problem is c

Answer:

80

Step-by-step explanation:

25/120 ( since you are trying to find probability of a situation)=.2083

.2083*380=79.167 (just round it off to the nearest 1 which is 80).

Answer:

a) A = p(1 + r)^t

b) A = 500(1 + 0.07)^2=572.45

Step-by-step explanation:

t=2 in b)

Answer:

0.31 ft/s

Step-by-step explanation:

The volume of a cone is given by the formula:

V = πr²h/3

From the question, we are given the diameter and the height to be equal, thus;

r = h/2

Putting h/2 for r into the volume equation, we have;

V = (π(h/2)²h)/3

V = πh³/12

Using implicit derivatives,we have;

dV/dt = (πh²/4)(dh/dt)

From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.

We have;

dV/dt = 35 ft³/min and h = 12ft

Plugging in the relevant values, we have;

35 = (π×12²/4)(dh/dt)

dh/dt = (35 × 4)/(144 × π)

dh/dt = 0.3095 ft/s ≈ 0.31 ft/s

Answer:

5x+8y+2z = 68

Step-by-step explanation:

Given the point P0 = (2, 5, 9), to Find an equation for a plane through that point and normal to the vector n = 5i+8j+2k the following steps must be followed:

The equation for the plane passing through the point is expressed as;

a(x-x0)+b(y-y0)+c(z-z0) = 0 where;

(x0, y0, z0) is the point on the plane and (a,b,c) is the normal vector n.

Given the point (2, 5, 9) and normal vector n =(5, 8, 2)

x0 = 2, y0 = 5, z0 = 9, a = 5, b = 8 and c= 2.

Substituting this values into the equation of the plane above will give;

5(x-2)+8(y-5)+2(z-9) = 0

On expansion:

5x-10+8y-40+2z-18 = 0

5x+8y+2z-10-40-18 = 0

5x+8y+2z-68 = 0

The required equation of the plane is 5x+8y+2z = 68

Answer:

629

Step-by-step explanation:

bruh

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

Answer:

The principal square root of a non-negative real number is the positive square root. For example, the principal square root of 25 is 5, since 5^2 = 25.

When solving radical polynomials, the principal square root is used because it is the most commonly used square root. In many contexts, including mathematical and scientific calculations, the principal square root is the default choice unless otherwise specified. Additionally, when working with radical expressions, we often simplify expressions by taking the principal square root, as it can help us to simplify calculations and express answers more clearly.

Answer:

25 students are in mr. Watsons class.

Step-by-step explanation:

10/40=.25, so 25 students

Answer:

Can you show the whole question?

Answer:

The other endpoint is (-1, 1).

Step-by-step explanation:

What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).

So, to find the slope, find (yB - yA)/(xB - xA)

(-4 -(-9))/(2 - 5)

(-4 + 9)/(2 - 5)

5/-3

The slope is -5/3.

Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.

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

The other endpoint is at (-1, 1).

Answer: 2.4

Step-by-step explanation: Given the angles below, the length of EF will be 2.4

Answer:

B) 3.8.

EF = 3.8

Use the law of sines to find the unknown length EF

Answer:

tito

Joshua

Caleb

Arthur

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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Answer:

1.4 feet

here is your answer

Answer:

94.5 square feet

Step-by-step explanation:

378 divided by 4

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

\(g(x) = 3.5^{x} -2\)

Step-by-step explanation:

This is the answer because, the y-intercept has decreased by -2. After you graph the original equation, you will find that the intercept is 1. So if the new one has a y-interceptn of -1, it decreased by 2. So, it is \(g(x) = 3.5^{x} -2\)

Answer:

7.03%

Step-by-step explanation:

The percentage of the life time cost which was the interest is; Choice B; 13.21%

Since, the APR is compounded monthly at an Annual percentage rate, APR of 11.27%, it follows that;

Hence, the total amount to be paid over the two and half years is; A = $1017.38.

Hence, the interest is given as;

The cost of electricity bill at $0.36 per day, (Assuming that there were two leap years over the period).

Hence, the lifetime cost of the laptop is; $789.12 + $1017.38 = $1806.5.

Ultimately, the required percentage is;

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Answer:

x = -8

Step-by-step explanation:

\(2x - 2 = - 18\)

Collect like terms and simplify

\(2x = - 18 + 2 \\ 2x = - 16\)

Divide both sides of the equation by 2

\( \frac{2x}{2} = \frac{ - 16}{2} \)

Simplify

\(x = - 8\)

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

Here m is slope and b is y-intercept

m = 4;  b = -1  

y = 4x - 1

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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