Which expression is equivalent to -6 -(-4)​

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

A’(-5,4)

B’ (1, 4)

c’ (1,1)

d’ (-5, 1)

Step-by-step explanation:

I suppose you mean

\(g(x) = \dfrac x{2\sqrt{36-x^2}} + 18\sin^{-1}\left(\dfrac x6\right)\)

Differentiate one term at a time.

Rewrite the first term as

\(\dfrac x{2\sqrt{36-x^2}} = \dfrac12 x(36-x^2)^{-1/2}\)

Then the product rule says

\(\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 x' (36-x^2)^{-1/2} + \dfrac12 x \left((36-x^2)^{-1/2}\right)'\)

Then with the power and chain rules,

\(\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12\left(-\dfrac12\right) x (36-x^2)^{-3/2}(36-x^2)' \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} - \dfrac14 x (36-x^2)^{-3/2} (-2x) \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12 x^2 (36-x^2)^{-3/2}\)

Simplify this a bit by factoring out \(\frac12 (36-x^2)^{-3/2}\) :

\(\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-3/2} \left((36-x^2) + x^2\right) = 18 (36-x^2)^{-3/2}\)

For the second term, recall that

\(\left(\sin^{-1}(x)\right)' = \dfrac1{\sqrt{1-x^2}}\)

Then by the chain rule,

\(\left(18\sin^{-1}\left(\dfrac x6\right)\right)' = 18 \left(\sin^{-1}\left(\dfrac x6\right)\right)' \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac x6\right)'}{\sqrt{1 - \left(\frac x6\right)^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac16\right)}{\sqrt{1 - \frac{x^2}{36}}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{3}{\frac16\sqrt{36 - x^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18}{\sqrt{36 - x^2}} = 18 (36-x^2)^{-1/2}\)

So we have

\(g'(x) = 18 (36-x^2)^{-3/2} + 18 (36-x^2)^{-1/2}\)

and we can simplify this by factoring out \(18(36-x^2)^{-3/2}\) to end up with

\(g'(x) = 18(36-x^2)^{-3/2} \left(1 + (36-x^2)\right) = \boxed{18 (36 - x^2)^{-3/2} (37-x^2)}\)

To find the best prediction of the cost of the groceries nine years after the beginning of the study, we need to use the given data to find the values of a and b in the function C=a(b)x. So, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

To do this, we can use the first data point where x = 0:
30 = a(b)^0

This simplifies to:  

30 = a
So, we know that a = 30.

Next, we can use any other data point to solve for b. Let's use the second data point where x = 1:
32.10 = 30(b)^1

This simplifies to:
32.10 = 30b
b = 1.07
Now we can use the function C = 30(1.07)^x to find the best prediction of the cost of the groceries nine years after the beginning of the study:
C = 30(1.07)^9
C ≈ $53.34

Therefore, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

For more questions on: prediction

https://brainly.com/question/30686224

#SPJ11

Answer:

e + 2/ 5  = 4

Hope this helps, and be sure to report the answer that had a link

Step-by-step explanation:

Answer:

45.312 cubic cm

Step-by-step explanation:

Since we are not asked what to look for, we can find the volume

volume of the pyramid = 1/3 * Base area * Height

Base area = 4.8 * 4.8 = 23.04 sq. cm

HEight of prism = 5.9cm

Volume of the prism = 1/3 * 23.04 * 5.9

Volume of the prism = 135.936/3

Volume of prism = 45.312 cubic cm

Answer:

first of all add all of them together

79.95$+19.99$+19.99$=119.93$

get the 10% of 119.93$

which is equal to11.993

take 119.93-11.993=107.937

the answer is $107.937

The Moon Company's equivalents units for transferred-in cost, direct materials, and conversion cost are 74,800 / 101,200 / 86,800 respectively.

Data and Calculations:

Percentage of completion:

Beginning work in process = 80%

Ending work in process = 30%

Beginning inventories:

Transferred-in costs = $30,800

Direct materials costs = $13,200

Conversion costs = $27,500

Physical Flows of Units:

Beginning WIP = 26,400

Units transferred in from Cutting Department = 74,800

Total production units available = 101,200 (26,400 + 74,800)

Units completed and transferred out = 79,200

Ending WIP = 22,000

                                 Transferred-in   Direct Materials   Conversion

Units transferred out                                   79,200             79,200

(79,200 x 100%)

Units transferred-in         74,800                          0                      0

(74,800 x 100%)

Ending WIP                                0               22,000 (100%)   6,600 (22,000 x 30%)

Total equivalent units    74,800              101,200             86,800

Thus, the equivalent units for the Finishing Department are determined based on the percentage of completion under the Weighted Average Method.

Learn more: https://brainly.com/question/17078653

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Answer

ASA.

Step-by-step explanation:

just got it right on edu2020.

The missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.

Recall:

In the proof given as shown in the image attached below, having established the fact that both triangles have two pairs of congruent angles, ∠MGN ≅ ∠KGJ and ∠N ≅ ∠J, and the image also shows a pair of included sides that are congruent, GN ≅ GJ, therefore:

Learn more about the ASA Congruence Theorem on:

https://brainly.com/question/2102943

Answer:

Choice D

Step-by-step explanation:

Reflection over the x axis and then a line reflection over y=1 will give you the second desired triangle.

According to the empirical rule -

a) About 95% of organs will be in range of weights of organs 230 grams and 430 grams.

b) 68% percentage of organs weighs between 280 grams and 380 grams.

c) 32% percentage of organs weighs less than 280 grams or more than 380 grams.

d) 97.35% percentage of organs weighs between 180 grams and 430 grams.

What is empirical rule?

The empirical rule 68-95-99.7 tells us that:

68% of the data is expected to be within 1 standard deviation from the mean.

95% of the data is expected to be within 2 standard deviation from the mean.

99.7% of the data is expected to be within 3 standard deviation from the mean.

There is a bell shaped distribution ( assume as approximately normal) with mean of 330 g and standard deviation of 50 g.

a) This happens for an interval with ±2 standard deviations from the mean.

That is:

X1 = μ + z1 × σ                  X2 = μ + z2 × σ

X1 = 330 - 2 × 50             X2 = 330 + 2 × 50

X1 = 330 - 100                  X2 = 330 + 100

X1 = 230                           X2 = 430

Therefore, the range of weights of organs is 230 grams and 430 grams.

b) Calculate the z-scores for each value to know how many standard deviations are from the mean.

z1 = (x1 - μ)/σ                   z2 = (x2 - μ)/σ

z1 = (280 - 330)/50        z2 = (380 - 330)/50

z1 = -50/50                     z2 = 50/50

z1 = -1                              z2 = 1  

The values are 1 standard deviations from the mean each.

Therefore, the expected percentage is 68%.

c) This is the complementary of the point b.

Then, it is expected that (100 - 68)% = 32% of the organs weigh less than 280 grams or more than 380 grams.

d) Calculate the z-scores for each value to know how many standard deviations are from the mean.

z1 = (x1 - μ)/σ                   z2 = (x2 - μ)/σ

z1 = (180 - 330)/50        z2 = (430 - 330)/50

z1 = -150/50                     z2 = 100/50

z1 = -3                              z2 = 2  

The values are 1 standard deviations from the mean each.

Therefore, the expected percentage is 68%.

The values are 3 standard deviations from the mean each. Between 180 and 330 there is 99.7%/2 = 49.85% of the data.

The values are 2 standard deviations from the mean each. Between 330 and 430 there is 95%/2 = 47.5% of the data.

Then, between 180 grams and 430 grams there is (49.85% + 47.5)% = 97.35% of the data.

Therefore, the expected percentage is 97.35%.

To learn more about empirical rule from the given link

https://brainly.com/question/17175453

#SPJ1

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ1

The amount of kinetic energy required to move a couch is most likely to be a function of the weight of the couch.

In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity.

Learn more about kinetic energy here

https://brainly.com/question/12669551

#SPJ3

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

for such more questions on width

https://brainly.com/question/28107004

#SPJ8

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!

Answer:

She will have $2.22 remaining.

Step-by-step explanation:

Hope this helps! <3

The total number of lefties present in the class are 125.

For the given question;

The total students in the class are 50.

There are 10 out of 50 on an average students be left-handed.

Let the percentage of left handed be 'x'.

Then, x% of 50 = 10

x = 10×100 / 50

x = 20%.

Now the average number of left-handed students are 25.

The total students will be.

Let 'y' be the total number of students.

Then, 25 is the 20% of y.

20% of y = 25.

y = 25 ×100 / 20

y = 125

Thus, the total number of lefties present in the class are 125.

To know more about the percentage, here

https://brainly.com/question/24877689

#SPJ13

Answer:

0.75

Step-by-step explanation:

it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:

3 ÷ 4 = 0.75

To find the solution to the system of equations, let's solve them simultaneously:

Equation 1: y = -x + 2

Equation 2: 3y = -x - 6

To eliminate the variables, we can multiply Equation 1 by 3:

3y = -3x + 6

Now, we can compare this modified Equation 1 with Equation 2:

3y = -3x + 6 (Modified Equation 1)

3y = -x - 6 (Equation 2)

We can see that the coefficients of x and y are the same in both equations, but the constants on the right side are different (6 and -6). This means the two lines represented by these equations are parallel and will never intersect. Therefore, there is no solution to the system of equations.

The correct answer is: No solution.

Answer:

-----------------

Find the base area, considering the legs are 3 in and 4 in, since it is a right triangle:

We know the volume is V = Bh.

Substitute the known values and solve for h:

So, the height of the prism is 16 in.

The height of the prism is 8 inches.

To find the height of the prism, we need to use the formula for the volume of a right prism: V = Bh, where B is the area of the base and h is the height.

Since the bases are right triangles with sides of 3, 4, and 5, we can calculate the area of each base using the formula A = 1/2bh, where b and h are the base and height of the triangle, respectively.

So, the area of each base is (1/2)(3)(4) = 6 in². Since the volume of the prism is given as 96 in³, we can substitute the values we have into the formula for the volume: 96 = 6h.

Solving for h, we get h = 16/3, or approximately 5.33 inches. Therefore, the height of the prism is 8 inches.

For more such questions on prism, click on:

https://brainly.com/question/30130715

#SPJ11

The equation for the graph of height (H) of the plant can be written as H = 4m + 5.

The slope of the graph (m) is 4.

Slope is a measure of the steepness of a line or the rate of change between two points on a line.

The equation for the graph of height (H) of the plant can be written as H = 4m + 5, where m is the number of months since Xavier bought the plant.

The slope of the graph (m) is 4. This means that for every month that passes, the height of the plant increases by 4 inches. This implies that the plant is growing at a rate of 4 inches per month. The interpretation of this slope in the context of the problem is that the plant is growing at a rate of 4 inches per month.

For more questions related to graph

https://brainly.com/question/25184007

#SPJ1

Answer:

C

Step-by-step explanation:

For lines AC and EF, line FC is a transversal.

Angles ACF and EFC are same side interior angles.

Since their measures add to 180°, then the lines are parallel.

Answer: Choice C