Which statement include two quantities in the real world that are additive inverses

To determine the number which, when divided into 1/16 groups, gives 15/16, we should multiply 15/16 by 16. Therefore, 15/16 is 1 sixteenth of a group of 15.

The question is essentially asking for a number which, when divided into 1/16 groups, would give 15/16.To find 1 sixteenth of a number, divide the number by 16. In this case, we want to find 1 sixteenth of what number is equal to 15/16. So, 15/16 is equal to 1/16 of what number. To find this number, we can simply invert the operation. Instead of dividing by 1/16, we should multiply 15/16 by 16. This gives us:

15/16 * 16 = 15.

Therefore, 15/16 is 1 sixteenth of 15.

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The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.

The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.

To find the average time it takes to fill one bag of leaves, we need to divide the total time spent raking leaves by the number of bags filled. In this case, the total time spent raking leaves is 12 hours and the number of bags filled is 48.

Therefore, the average time it takes to fill one bag of leaves is:

Average time = Total time / Number of bags filled

Average time = 12 hours / 48 bags = 0.25 hours/bag = 15 minutes/bag.

Final answer:

After three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily, the student is left with 3 + 7x widgets, in terms of x.

Explanation:

Let's find out how many widgets are left after three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily.

To calculate the total number of widgets after one day, we add the produced widgets (2x+1) and subtract the destroyed widgets (3-x) from the initial amount (9-2x):

At end of day 1: (9-2x) + (2x+1) - (3-x) = 9 - 2x + 2x + 1 - 3 + x = 7 + x

Repeat this process for two more days:

At end of day 2: (7+x) + (2x+1) - (3-x) = 7 + x + 2x + 1 - 3 + x = 5 + 4x

At end of day 3: (5+4x) + (2x+1) - (3-x) = 5 + 4x + 2x + 1 - 3 + x = 3 + 7x

Therefore, after three days, you are left with 3 + 7x widgets, in terms of x.

The student initially has 9-2x widgets, and each day there's a net change of 3x-2 widgets. After three days, the student is left with 7x+3 widgets.

The student starts with 9-2x widgets. Each day, they produce 2x+1 widgets and destroy 3-x widgets. To find out how many widgets the student is left with after three days, we need to account for the daily production and the daily destruction of widgets and sum them up over the three days.

Let's calculate the daily net change in widgets. The number of widgets produced each day is 2x+1, and the number destroyed is 3-x, so the net change in widgets each day is:

(2x+1) - (3-x) = 2x + 1 - 3 + x = 3x - 2

Now, let's multiply this daily net change by three days:

3 days × (3x - 2) = 9x - 6

Finally, let's add this to the initial number of widgets to find the total:

(9-2x) + (9x - 6) = 9 - 2x + 9x - 6 = 7x + 3

Therefore, after three days, the student is left with 7x + 3 widgets in terms of x.

the answer is A

 see attached picture:

The mean and the standard deviation of y are given as follows:

For the multiplication, we have that both the mean and the standard deviation are multiplied by the constant.

For the subtraction, we have that the mean is subtracted by the constant, while the standard deviation remains constant, since all observations are subtracted by the constant, the differences squared between each observation and the mean remain constant.

The original mean and standard deviation are given as follows:

After the multiplication, they are given as follows:

After the subtraction, they are given as follows:

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Final answer:

The mean and standard deviation of the new random variable y, derived from a distribution x with a given mean and standard deviation, are calculated by applying transformations, resulting in a mean of 47 and a standard deviation of 12.

Explanation:

The question asks us to find the mean and standard deviation of a new random variable y = 4x - 5, given a distribution, x, with a mean of 13 and a standard deviation of 3. To calculate the mean of y, we use the transformation y = 4x - 5. The mean of y can be found by substituting the mean of x into this equation, giving us 4(13) - 5 = 52 - 5 = 47. To find the standard deviation of y, we multiply the standard deviation of x by the coefficient of x in the equation, resulting in 3 * 4 = 12. Therefore, the mean of y is 47, and the standard deviation is 12.

Answer:

If this cycle continued indefinitely, how much money that eventually resulted from the initial deposit is

500,000 (C is the answer)

The answer to the question would be, All whole numbers from 0 to 10

If the graph shows the number of birdhouses Penn and his father can build if they have enough time to build no more than 10 birdhouses, the domain of the graph is given as [0, 10).

From the graph given, we are to find the domain of the graph. From the graph, we can see that;

We are to find the domain of the given graph. The domain of the graph is the input values for which the graph exists.

The domain of the graph is the values along the x-axis of the graph. Hence the domain of the graph is given as [0, 10).

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Answer:

he missed 5 targets. -75 ÷ -15

Answer:

No

Step-by-step explanation:

600 is greater than 500 it would be 1.2 greater

Hope this helps!!

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The derivative of [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex]  is [tex]\( f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \)[/tex].

To find the derivative of the function [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex] , we can use the quotient rule. The quotient rule states that if you have a function [tex]\( g(x) = \frac{u(x)}{v(x)} \)[/tex] , then the derivative [tex]\( g'(x) \)[/tex] is given by:

[tex]\[ g'(x) = \frac{u'(x)v(x) - u(x)v'(x)}{[v(x)]^2} \][/tex]

In this case, let u(x) = 7x  and v(x) = 3 +[tex]x^2[/tex] . Now, find the derivatives u'(x)  and  v'(x):

u'(x) = 7

v'(x) = 2x

Now, apply the quotient rule:

[tex]\[ f'(x) = \frac{(7)(3 + x^2) - (7x)(2x)}{(3 + x^2)^2} \][/tex]

Simplify the expression:

[tex]\[ f'(x) = \frac{21 + 7x^2 - 14x^2}{(3 + x^2)^2} \][/tex]

Combine like terms:

[tex]\[ f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \][/tex]

So, the derivative of [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex]  is [tex]\( f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \)[/tex].

Complete Question: What is the derivation of (7x)/(3+[tex]x^2[/tex]).

Answer:8

Step-by-step explanation:

Final answer:

To determine if a proportion is true, we must verify that the cross-products of the ratios are equal. Only two of the given proportions, 16/36 = 12/27 and 15/20 = 24/32, are true when applying this method.

Explanation:

To determine if a proportion is true, we check whether the cross-products are equal. In other words, for a proportion in the form a/b = c/d, if a * d equals b * c, the proportion is true.

Let's apply this to the provided proportions:

12/15 = 47/50 is not true because 12*50 does not equal 15*47.

16/36 = 12/27 is true because 16*27 equals 36*12.

15/20 = 24/32 is true because 15*32 equals 20*24.

4/16 = 2/14 is not true because 4*14 does not equal 16*2.

Proportions can be a useful tool in many areas of mathematics, such as solving for unknown variables and comparing relative frequencies. Remember, if you encounter large numbers or fractions, simplifying before checking the cross-product can often make the process easier.

Answer:

Next numbers: 3430, 24010

Step-by-step explanation:

AS you can see you just need to discover the pattern by dividing the subsequent numbers by the direct number before that:

490/70=7

70/10=7

So both numbers indicate the patter on multiply by 7.

So to calculate the next number we first have to multiply 490*7= 3430

Now we just have to multiply the 3430 by 7 and that would be 24010.

So the next numbers would be 3430 and 24010,

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

Step-by-step explanation:

Supplementary angles: If the two angles are supplementary, then the angles add upto 180 degrees.

We need to find which pairs add upto 180 degrees.

From the given figure, ∠4 + ∠3 = 180°

ii) ∠5 + ∠6 = 180°

iii) ∠4 + ∠5 = 180°

iv) ∠3 + ∠6 = 180°

v) ∠7 + ∠8 = 180°

So, the following pairs are supplementary.

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

Answer:

[tex]\frac{-5}{8} [/tex]

Step-by-step explanation:

Given :  Height of an ice sculpture changes by negative 5 over 32 meters every hour.

To Find: what will be the change in height after 4 hours?

Solution:

Height changes in 1 hour by [tex]\frac{-5}{32}[/tex]

So, the change in height after 4 hours = [tex]\frac{-5}{32} \times 4[/tex]

                                                               = [tex]\frac{-5}{8} [/tex]

Hence,the change in height after 4 hours will be [tex]\frac{-5}{8} [/tex]

Final answer:

The average rate of change of a function on an interval is calculated by finding the difference in the function's values at the endpoints of the interval, and then dividing that difference by the length of the interval. In this case, the interval is [50, 70], so the average rate of change of the function is (f(70) - f(50)) / (70 - 50).

Explanation:

The average rate of change of a function on an interval is calculated by finding the difference in the function's values at the endpoints of the interval, and then dividing that difference by the length of the interval.

In this case, the interval is [50, 70], so the average rate of change of the function is (f(70) - f(50)) / (70 - 50).

For example, if the function is f(x) = 2x + 3, then the average rate of change on the interval [50, 70] would be (f(70) - f(50)) / (70 - 50) = (2(70) + 3) - (2(50) + 3) / 20 = (143 - 103) / 20 = 40 / 20 = 2.

The athlete will eat 2.45 kilograms of protein during 7 weeks of training.

To find out how much protein the athlete will eat during 7 weeks of training, we can simply multiply the amount of protein eaten per week by the number of weeks of training.

Given:

Protein eaten per week = 0.35 kg

Number of weeks of training = 7 weeks

Protein eaten during 7 weeks of training = 0.35 kg/week * 7 weeks

Now, calculate the result:

Protein eaten during 7 weeks of training = 2.45 kg

So, the athlete will eat 2.45 kilograms of protein during 7 weeks of training.

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