Which function has the greatest rate of change?

A) y = 3x - 4

B) 4y - 8x = 1

C) a line passing through points (2,6) and (3,10)

D) a line passing through points (5,-2) and (6,4)

Answer:

B) Subtraction Property of Equality

Step-by-step explanation:

To get m∠B=77º, the problem subtracted 103º from both sides of 103º+m∠B=180º.

The Subtraction Property of Equality states that if x=y, then x-a=y-a.

In this case x=103º+m∠B, y=180º, and a=103º.

Answer:

I need points plus I'm in middle school

Step-by-step explanation:

The critical value for a one-tailed test at the 5% significance level with 18 degrees of freedom is 2.878.

To determine this value, the researcher can use the partial t-table above. The first row of the table contains the degrees of freedom (df) and the last column (t0.005) contains the C. To find the critical value, the researcher would look for the row with df=18 and the column with t0.005. The value at the intersection of these two values is 2.878. Therefore, the critical value for this test is 2.878.

To compare the test statistic to the critical value, the researcher would subtract the test statistic from the critical value. If the difference is greater than 0, then the test statistic is greater than the critical value and the null hypothesis can be rejected. In this case, the difference is -0.988, which is less than 0. Therefore, the test statistic is less than the critical value and the null hypothesis cannot be rejected.

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Answer:

Step-by-step explanation:

Please help me with this problem asap! ( with work )

The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Using the Volume- Pressure relation ,

The required volume of a gas is 360 cubic inches. when the pressure is increased to 19 pounds per square inch.

Let us consider that V = the gas' volume and P = pressure of gas .

we have given that ,

The volume of a gas in a container varies inversely with the pressure on the gas:

V = k/P

where k is a constant. firstly, we find the value of k, by putting the known point, V = 380 cubic inches when P = 18 pounds per square inch

and solve the equation,

V = k/p

putting the value of V , P in known formula we get,

=> 380 = k/18

=> 380×18 = k

=> 6840 = k

put k= 6840 in above equation we get

V = 6840/P

we have to find the volume when P = 19 pounds per square inch:

V = 6840/19 = 360 cubic inches

Hence, the volume if the pressure is increased to 19 pounds per square inch is 360 cubic inches.

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The final answer for the Expression is 33

The following is a list of BODMAS's expansions:

Brackett is abbreviated B. O is short for of. D denotes division. M denotes multiplication. A is for Addition S represents Subtraction.

Additionally, the order of operation is the same as B O D M A S.

Given:

The expression provided is

16 divided by 5*(2+16)/2-4*(2+2)+1/4, where * denotes multiplication.

5×(2 + 16)÷ 2 - 4 ×(2+2) + 1 ÷ 4 of 16

Solution:

5×(2 + 16)÷ 2 - 4 ×(2+2) + 1 ÷ 4 of 16

We shall first solve brackets using BODMAS.

= 5×(18)÷ 2 - 4 ×(4) + 1 ÷ 4 of 16

next of,

= 5×(18)÷ 2 - 4 ×(4) + 1 ÷ 4 × 16

Division follows.

= 5×9 - 4 ×(4) + 0.25 × 16

Next, multiplying

= 45 - 16 + 4

Finally, addition

= 45 + 4 - 16

= 49-16

= 33

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The volume of the solid S, where the base is a triangular region and cross-sections perpendicular to the y-axis are semicircles, can be found using calculus. The volume of S is (3π/8) cubic units.

In the first part, the volume of the solid S is (3π/8) cubic units.

In the second part, we can find the volume of S by integrating the areas of the cross-sections along the y-axis. Since the cross-sections are semicircles, we need to find the radius of each semicircle at a given y-value.

Let's consider a vertical strip at a distance y from the x-axis. The width of the strip is dy, and the height of the semicircle is the x-coordinate of the triangle at that y-value. From the equation of the line, we have x = (3/2)y.

The radius of the semicircle is half the width of the strip, so it is (1/2)dy. The area of the semicircle is then\((1/2)\pi ((1/2)dy)^2 = (\pi /8)dy^2.\)

To find the limits of integration, we note that the base of the triangle extends from y = 0 to y = 2. Therefore, the limits of integration are 0 to 2.

Now, we integrate the area of the semicircles over the interval [0, 2]:

V = ∫\((0 to 2) (\pi /8)dy^2 = (\pi /8) [y^3/3]\) (evaluated from 0 to 2) = (3π/8).

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Answer:

78 Degrees

Step-by-step explanation:

Complimentary Angles add up to 90 degrees so the equation below solves for x and then finds angle A.

3x+42+x=90

4x=48

x=12

3(12)+42=78

The labor share can be defined as the share of total income or output that goes to labor. The correct answer is: b. B ˉ / (A ˉ k + B ˉ).

To determine the labor share in this production function, we need to find the proportion of total output (Y) that is attributed to labor (L).

Given the production function Y = A ˉ × K + B ˉ × L, we can rewrite it as Y = A ˉ × K + B ˉ × (L/L) = A ˉ × K + B ˉ × (L × (1/L)) = A ˉ × K + (B ˉ / L) × L.

Now, let's express the production function in terms of k = K/L:

Y = A ˉ × (k × L) + (B ˉ / L) × L = A ˉ k × L + B ˉ.

The labor share (L_share) can be calculated as the proportion of output attributed to labor, which is L_share = (A ˉ k × L) / Y.

Dividing both the numerator and denominator by L, we have:

L_share = (A ˉ k × L) / (A ˉ k × L + B ˉ).

Comparing this expression with the provided options, we can see that the correct answer is:

b. B ˉ / (A ˉ k + B ˉ).

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Answer:

20degrees

Step-by-step explanation:

The sum of angle C and D is 180 degrees since they are supplementary

Given

m<C = 140 degrees

m<D = 2x

Taking the sum and equating to 180

140 + 2x = 180

2x = 180-140

2x = 40

x = 40/2

x = 20 degrees

Hence the value of x is 20degrees

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

Answer:12 pints of milk

Step-by-step explanation:

4x6=24cups

2cups = 1 pint

24 divided by 2 = 12

your answer is 12 pints of milk

Both the length and width of the rectangle are approximately 31.62 m each.

The Area of a rectangle is calculated by multiplying the length by the width.

A = L x W

We have given that area of rectangle is 1,000 m²

1000 = W× L => W = 1000/L ---(1)

The circumference of rectangle is twice the sum of the dimensions. That is,

P = 2L + 2(1000/L)

Now, it is provided that perimeter is minimum so, we differentiate perimeter with respect to L then put first order derivative equal to zero.

dP/dL = 2 + 2000(-1/L²) = 0

=> 2-2000/L²=0

=>2000/L²=2

=> L²=2000/2

=> L²= 1000

=> L= 31.622

putting value of L in (1) we get , W= 31.622m

Therefore the length and width of the rectangle are both approximately 31.622m .

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Answer:

2

Step-by-step explanation:

2-2=4 which is equal to 4

Answer: 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

What we want to know, is what linear equation with two variables can be solved by x=6 and y =5, and x = 12 and y =13.

All linear equations can be represented as y=mx+b.

We know y must be 5 when x is 6, so we can say that

5 = m*6 + b

Likewise, y is 13 when x is 12 so

13 = m*12 + b

I am going to take the second equation (13 = 12m + b) and subtract 5 from both sides.

This gives

8 = 12m+b -5

We know from the first equation that 5 = 6m+b. So we can substitute that into 8 = 12m +b -5.

8 = 12m+b - (6m+b)

8=12m+b -6m -b

8 = 6m

m = 8/6 = 4/3

Now take the first equation (5 = 6m + b) and replace m with 4/3

5 = 6*4/3 + b

5 = 8 + b

b = -3

Yes, this is true. This phenomenon is known as the Central Limit Theorem and it states that, as the sample size increases, the distribution of the sample mean converges to a normal distribution.

Yes, this is true. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean converges to a normal distribution. This means that, when the sample size is large enough, the histogram of sample means will appear to be close to a normal distribution. This is because the mean of a large enough sample size will be close to the population mean, regardless of the shape of the original population distribution.

The Central Limit Theorem also states that the larger the sample size, the more closely the sample distribution will resemble a normal distribution. This is why, when the sample size is large enough, a histogram of sample means will appear to be a normal distribution.

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Answer:

\(\dfrac{2m -1}{5}\)

Step-by-step explanation:

Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:

\(2\huge\text{(}\dfrac{1}{5} m - \dfrac{2}{5} \huge\text{)} + \dfrac{3}{5}\)

\(2\huge\text{(}\dfrac{m - 2}{5} \huge\text{)} + \dfrac{3}{5}\)

Now, we can multiply the expression inside the parentheses by 2.

\(\huge\text{(}\dfrac{2m - 4}{5} \huge\text{)} + \dfrac{3}{5}\)

Since the expression inside the parentheses cannot be simplified further, we can open the parentheses and simplify the expression.

\(\dfrac{2m - 4}{5} + \dfrac{3}{5}\)

We can combine the denominators as the denominators are the same.

\(\dfrac{2m - 4 + 3}{5}\)

Finally, we can simplify -4 + 3.

\(\dfrac{2m -1}{5}\)

Therefore, the simplified expression is (2m - 1)/5.

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Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

Answer:

The line graph because it shows how the number of miles increases over the number of minutes.

Step-by-step explanation:

ake it or leave it

The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."

A graph can be defined as a visual representation or a diagram that represents data or values.

The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)    Time (minutes)

    10                                 15

   20                                 30

   30                                 45

   40                                 60

A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.

Hence, the correct answer would be an option (A).

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Answer:

See explanation

Step-by-step explanation:

50 is 5*10, so multiply 3 by 5 also to get 5 and 15/50. First answer is 15

5 and 15/50 is also equal to 4 and 65/50. second answer is 65

carry the numerator on the second line to get 30 for the third answer.

finally, subtract 3 from 4 to get 1, and subtract 30 from 65 to get 35/50.

last two answers are 1, and 35.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

I would say its the bottom one

Step-by-step explanation:

The top one goes to five while the bottom only goes to four, plus you cant have a negative amount of people you can only have from 0 to infinity amount of people.

Answer:

It's the second line

Because people can only be counted from zero.

Answer:

Step-by-step explanation:

6m+4a=46

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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The transformation of Q(-7, 2) under a translation by 8 units to the right and 2 units up gives; Q"(1, 4)

We are told that coordinate of Point Q is;

Q(-7, 2)

Now, it undergoes transformation under a translation by 8 units to the right and 2 units up.

Now, when we translate a coordinate to the right, we will simply add the number of units of translation to the x-coordinate.

Thus, translation of Q(-7, 2) by 8 units to the right gives;

Q'(-7 + 8, 2) = Q'(1, 2)

Now, translation further by 2 units upwards means we add the number of units of translation to the y-coordinate.

Thus, translation of Q'(1, 2) by 2 units upwards gives;

Q''(1, 2 + 2) = Q"(1, 4)

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