The amount of water in a pool varies directly with the amount of time it is filling up. The pool has 2,900 liters of water after 15 seconds. How many liters of water will the pool contain after 45 seconds?

To complete her journey Ann needs to run for (120/3) = 40 minutes in order to travel at an average speed of 5 km/h.

We can start by using the formula:

average speed = total distance ÷ total time

Let's first calculate the total distance Ann covers:

distance walked = speed x time = 4 km/h x (8 km / 4 km/h) = 8 km

distance run = speed x time

Let's call the time Ann runs for "t". Then:

distance run = 8 km/h x (t/60) h = (8t/60) km

Total distance = distance walked + distance run = 8 km + (8t/60) km = (480 + 8t) / 60 km

Now, let's find the total time:

total time = time walked + time run

time walked = distance ÷ speed = 8 km ÷ 4 km/h = 2 h

time run = t/60 h

total time = 2 h + t/60 h = (120 + t)/60 h

Now we can substitute the values we have found into the formula for average speed:

5 km/h = [(480 + 8t)/60 km] ÷ [(120 + t)/60 h]

Simplifying the right-hand side, we get:

5 km/h = (480 + 8t) / (120 + t)

Multiplying both sides by (120 + t), we get:

600 + 5t = 480 + 8t

Subtracting 480 and 5t from both sides, we get:

120 = 3t

Therefore, Ann has to run for (120/3) = 40 minutes to have an average speed of 5 km/h over her complete journey.

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Answer:

Last one hard to explain

685.8 feet

Sea level is a reference to elevation of the ocean or land interface called the shoreline.

Land that is above this elevation is higher than sea level and lower is below sea level.

The bottom of the canon is at 51 3/10 below the sea level which is also written as -51 3/10 ……(1)

The nest is at 737 1/10 feet above the sea level so it is expressed as

737 1/10  ….(2)

To find the distance between the bottom of the canyon and the bird’s nest we subtract (2) from (1)

737.1 – 51.3

= 685.8 feet

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The applicants that would have to apply in order to meet the target is 52. Option 4 is correct.

We have to define x as the applications to meet target

The number of persons to hire is 30

10 percent do not meet requirements. Hence 90 meets the requirements. 90% of x

= 0.9X

12% fail the pre screening stage. Hence 88% have passed it. This would be 88% of 0.9x. = 0.792x

23% Did not come for the interview, hence 77% showed up. This would be 0.77*0.792x = 0.60984x

then 5% are said to have failed the background test. This means that 95% passed the test.

0.95 * 0.60984x = 0.579348X

We have to equate this to 30 in order to get the value of x

0.579348X = 30

divide through by 0.579348

X = 30 / 0.579348

X = 51.78

X ~ 52

The number of applicants is 52

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The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

36 ft

Step-by-step explanation:

6/x=7.5/45

270=7.5x

x=36

In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:

\(36 ft\)

To use similar triangle theory, we have to make a rule of 3, that is:

\(6/x=7.5/45\\270=7.5x\\x=36\)

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The best estimate for the number of grains of sugar in a 5-pound bag is approximately 3.6 × 10^7 grains (option C).

To find the best estimate for the number of grains of sugar in a 5-pound bag, we need to determine the number of grains in 1 pound and then multiply it by 5.

The weight of 1 pound of sugar is given as 4.5 × 10^2 grams. To find the number of grains in 1 pound, we divide the weight of 1 pound by the weight of each grain, which is 6.25 × 10^(-4) grams.

Number of grains in 1 pound = (4.5 × 10^2 grams) / (6.25 × 10^(-4) grams)

Simplifying the expression, we get:

Number of grains in 1 pound = (4.5 × 10^2) / (6.25 × 10^(-4)) = (4.5 × 10^2) × (10^4 / 6.25)

Number of grains in 1 pound ≈ 7.2 × 10^6 grains

Finally, we multiply the number of grains in 1 pound by 5 to find the best estimate for the number of grains in a 5-pound bag:

Best estimate for the number of grains in a 5-pound bag ≈ (7.2 × 10^6 grains) × 5 = 3.6 × 10^7 grains

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Answer:

Both are 1/2

Step-by-step explanation:

Count just the tails, that's the numerator

Count all the heads and tails, that's the denominator.

And for the 2nd fraction:

Count just the evens, that's the numerator

Count all the even and odd numbers, that's the denominator.

Answer: The answer to this question is 3/4

Step-by-step explanation:

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by: p=9/12=3/4

Yvonne can either run 3/8 part of 2/8 part of the race before stopping for water and then continue to finish the race.

Yvonne has completed 3/8 part of the race. Hence, the remaining part of race is 5/8 parts. Based on the diagrammatic representation of fraction of the race, she can choose among the two ways to stop for drinking water one more time before finishing the race.

Either she can run 3/8 part of the race more and then drink the water followed by finishing the race. Or, she can run 2/8 part of the race more before drinking water and finishing the race.

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The complete question is attached in figure.

the number of different furniture sets the Robinson family can select is n * m * p.

To determine the number of different furniture sets the Robinson family can select, we need to calculate the total number of combinations for each item (bed, desk, and dresser) and then multiply them together.

Let's assume there are n choices for the bed, m choices for the desk, and p choices for the dresser.

Using the fundamental principle of counting, the total number of different furniture sets is obtained by multiplying the number of choices for each item:

Total number of furniture sets = number of choices for bed * number of choices for desk * number of choices for dresser

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In this question, we want the equation after substituting the first (solved for y) into the second.

To do this, we need to solve for y in the first equation:

And now substitute it into the second equation, that is, we put 6x - 1 in place of every y.

By comparison, we can see that this is equivalent to the third alternative.

The first integer = x

The second integer = x + 1

The third integer = x + 2

The fourth integer = x + 3

The fifth integer = x + 4

Since they all add up to 5, let's set them equal to 5

x + x + 1 + x + 2 + x + 3 + x + 4 = 5

Combine like terms

5x + 10 = 5

Subtract 10 from both sides

5x = -5

Divide each side by 5

x = -1

The first integer = x = -1

The second integer = x + 1 = -1 + 1 = 0

The third integer = x + 2 = -1 + 2 = 1

The fourth integer = x + 3 = -1 + 3 = 2

The fifth integer = x + 4 = -1 + 4 = 3

We can check this by adding all the integers together and making sure we get 5

3 + 2 + 1 + 0 - 1 = 5

Answer:

0

Step-by-step explanation:

If the sum of the integers is 5, then the arithmetic mean of the integers is \($\frac{5}{5}=1$\) .  In five consecutive integers, the arithmetic mean is equal to the middle integer, which means the integers are -1, 0, 1, 2, 3 and the product is \($\boxed{0}$\).

Hope this helped! :)

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

The british

Step-by-step explanation:

Answer:

The Britsh

Step-by-step explanation:

Formal colonialism first came to the region we today call Ghana in 1874, and British rule spread through the region into the early twentieth century. The British called the territory the “Gold Coast Colony."

Answer:

6°

Step-by-step explanation:

The angles in a triangle always add up to 180°. Let’s call the third angle x. That means that:

154 + 20 + x = 180 ->

174 + x = 180 ->

x = 180 - 174 ->

x = 6°

Hope that help! :)

We have to find the equation of a line fo which we know two points, using the point-slope form.

The point-slope let us write the equation of the line knowing the value of the slope m and the coordinates of one point (x0,y0) of the line:

We use the two known points to calculate the slope m:

Using the point (-1,7), we can write the equation as:

Answer: From the options, the right ones are:

y-7=-1(x-(-1))

y-4=-1(x-2) --> this one would have been used if we picked the point (2,4) instead of (-1,7)

y=-x+6

Amount of water produced in 6 days is 15.6×10⁶.

We will simply perform multiplication to find the amount of water produced in 6 days.

Amount of water produced in 6 days = amount of water produced in one day × 6

Amount of water produced in 6 days = 2.6×10⁶×6

Performing multiplication to find the amount of water produced in 6 days

Amount of water produced in 6 days = 15.6×10⁶

The answer is in scientific notation as 15.6 is coefficient, 10 is base and 6 is exponent. Therefore, amount of water produced by plant in 6 days is 15.6×10⁶.

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The experimental probability that Kyle's next toss will be a hit is 11/18 or approximately 0.61.

The experimental probability of Kyle's next toss being a hit can be calculated by dividing the number of hits by the total number of tosses. In this case, the total number of tosses is the sum of hits and misses, which is 22 + 14 = 36. Therefore, the experimental probability of Kyle's next toss being a hit is 11/18 or approximately 0.61.
To find the experimental probability of Kyle's next toss being a hit, you need to consider the number of hits and total tosses so far.
Hits: 22
Misses: 14
Total tosses: 22 hits + 14 misses = 36 tosses
Now, calculate the experimental probability by dividing the number of hits by the total number of tosses:
Experimental probability = Hits / Total tosses = 22 / 36
Simplify the fraction:
Experimental probability = 11/18
So, the experimental probability that Kyle's next toss will be a hit is 11/18.

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Answer:

11/18

Step-by-step explanation:

Answer: Im not really sure of the answer but i think it 7

Step-by-step explanation:

When there are precisely two outcomes of a trial that are mutually exclusive, the binomial distribution is used.

A discrete distribution is the binomial distribution. It is a probability distribution that is frequently utilised. It is then designed to represent a variety of distinct phenomena that appear in business, social sciences, natural sciences, and medical research.

The probability of achieving a specific number of successes, such as successful basketball shots, out of a fixed number of trials can be determined using the binomial distribution. To determine discrete probabilities, we use the binomial distribution.

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Answer:

12 peppermint cupcakes 16 white cupcakes 22 chocolate cupcakes

Step-by-step explanation:

x+(x+4)+(x+(x+4)-6)=50

4x+4+4-6=50

4x+4-2=50

4x+2=50

4x=48

x=48/4

x=12 peppermint cupcakes

12+4= 16 white cupcakes

12+12+4-6=

12+16-6=

12+10= 22 chocolate cupcakes

check:

12+16+22=50

28+22=50

50=50 ✓

Answer:

$110,50

Step-by-step explanation:

Okay so I have done the whole process in the picture and the part where I said check I wanted to confirm my answer and it is correct, I hope you understand. This is the method I personally use because it is easier and makes more sense to me‍♀️.

Answer: A. 33

Step-by-step explanation:

The garden is  feet long.

If Rosie divides it by ¹/₃ then the number of sections would be:

=  11 / ¹/₃

= 33 sections

The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.

We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:

a) Interval = [-2, 0]

b) Interval = [1, 10]

c) Interval = [-2, 10]

Let's begin:

(a) Interval = [-2, 0]

To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.

To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 0].

Checking for x = 4 + √37:f(-2) = -10f(0) = 8

Checking for x = 4 - √37:f(-2) = -10f(0) = 8

Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]

We will follow the same method as above to find the absolute max/min.

We differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)

x = (24 ± √(888)) / 6

x = (24 ± 6√37) / 6

x = 4 ± √37

We need to check which critical point lies in the interval [1, 10].

Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39

Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39

Therefore, the absolute max is -30.36 and the absolute min is -362.39.

(c) Interval = [-2, 10]

We will follow the same method as above to find the absolute max/min. We differentiate the function:

f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:

f'(x) = 0

Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 10].

Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39

Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39

Therefore, the absolute max is -10 and the absolute min is -362.39.

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Answer:

The answer is midsegment.

Step-by-step explanation:

The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle. It does not matter if it is a right triangle, isosceles triangle, or an equilateral triangle, all three sides of a triangle can be bisected (cut in two), with the point equidistant from either vertex being the midpoint of that side.

Since triangles have three sides, they can have three midsegments. One midsegment is one-half the length of the base (the third side not involved in the creation of the midsegment). That is only one interesting feature. It is also:

Because the smaller triangle created by the midsegment is similar to the original triangle, the corresponding angles of the two triangles are identical; the corresponding interior angles of each triangle have the same measurements.

Therefore, a sample size of at least 26 students is needed to calculate a 90% confidence interval for the average time it takes students to complete the exam.

To calculate a 90% confidence interval for the average time (in minutes) that it takes students to complete the exam, a sample size of at least 26 is needed.

In statistics, a confidence interval (CI) is a range of values that is used to estimate the reliability of a statistical inference based on a sample of data.

Confidence intervals can be used to estimate population parameters like the mean, standard deviation, or proportion of a population.

There are different levels of confidence intervals.

A 90% confidence interval, for example, implies that the true population parameter (in this case, the average time it takes students to complete the exam) falls within the calculated interval with 90% probability.

The formula for calculating the sample size required to determine a confidence interval is:n=\frac{Z^2\sigma^2}{E^2}

Where: n = sample sizeZ = the standard score that corresponds to the desired level of confidenceσ = the population standard deviation E = the maximum allowable error

The value of Z for a 90% confidence interval is 1.645. Assuming a standard deviation of 15 minutes (σ = 15), and a maximum error of 5 minutes (E = 5), t

he minimum sample size can be calculated as follows:$$n=\frac{1.645^2\cdot 15^2}{5^2}=25.7$$

Therefore, a sample size of at least 26 students is needed to calculate a 90% confidence interval for the average time it takes students to complete the exam.

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According to the given statement the area of the cross section of the cone is 72 square units.

a solid produced by rotating one of the legs of a right triangle. A solid that is surrounded by a circle and other closed planar base and indeed the surface created by line segments connecting each point here on base's perimeter to a single vertex is known as a right circle cone; for more information, see the Density Formulas Table.

From the given information the height is 16 inches and the radius is 4.5 inches becuase the cone is sliced by a plane that passes through the center of the base, and also passes through the top vertex

So, The radius would be half the base, so the base would be 4.5 * 2 = 9 inches.

The area of the cross section of the cone is found by multiplying the base by the height, then dividing by two.

Area of the cross section of the cone = (9 x 16)/2 = 144

144 / 2 = 72 square inches.

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The unit rate for each shirt if 24 shirts cost $259.36 as required to be determined is; $10.81.

It follows from the task content that the unit rate is to be determined if 24 shirts cost $259.36.

On this note, it follows that; the unit rate is given by the quotient;

Unit rate = Total cost / No. of units

Unit rate = 259.36 / 24

Unit rate = 10.80667.

Ultimately, the unit rate of the shirts as required is; $10.81.

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Answer:

SAS theorem

Step-by-step explanation:

Answer: SAS theorem :-D BREH

Step-by-step explanation: