if h(x)=x+2/x-2, then dy/dx=? A. x-2 B. -5/2 C. 1/(x-2)². D. none​

Here the correct statements can be

The y-intercept represents D) the starting amount in his savings account.

The slope represents C) the change in the dependent variable with respect to the independent variable.

What is meant by y-intercept?

The y-intercept is the point where a line intersects the y-axis on a graph. It represents the value of the dependent variable when the independent variable is zero.

What is meant by the term slope?

The slope is a measure of the steepness of a line on a graph. It is calculated by dividing the change in the y-coordinate by the change in the x-coordinate between two points on the line.

According to the information

The y-intercept of the linear model y = 200x + 500 represents the starting amount in Richard's savings account.

The slope of the linear model y = 200x + 500 represents the change in the dependent variable (y, the savings amount) with respect to the independent variable (x, the number of months). Specifically, the slope of 200 means that for every additional month, Richard's savings will increase by $200.

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Answer: the answer is 4

Step-by-step explanation: good luck

Answer:

To find the lower and upper quartiles and the interquartile range, we first need to order the data from smallest to largest:

20, 22, 25, 28, 29, 30, 32, 33, 34

Next, we find the median (middle value) of the entire dataset:

Median = (29 + 30) / 2 = 29.5

This median value divides the data into two halves. We then find the median of the lower half of the data, which includes all values less than or equal to 29.5:

Lower half: 20, 22, 25, 28, 29

Median of lower half = (25 + 28) / 2 = 26.5

This value, 26.5, is the lower quartile (Q1).

Similarly, we find the median of the upper half of the data, which includes all values greater than or equal to 29.5:

Upper half: 30, 32, 33, 34

Median of upper half = (32 + 33) / 2 = 32.5

This value, 32.5, is the upper quartile (Q3).

Finally, we can calculate the interquartile range (IQR) as the difference between the upper and lower quartiles:

IQR = Q3 - Q1 = 32.5 - 26.5 = 6

Therefore, the lower quartile is 26.5, the upper quartile is 32.5, and the interquartile range is 6.

Answer:

12.5ft tall.

Step-by-step explanation:

The volume of a rectangular box is V = L x W x H

We are given volume, length, and width, allowing us to solve for height.

3000 ft^3 = 96 ft x 2.5 ft x H ft

Divide both sides by 96 x 2.5 to isolate H

3000 / (96 x 2.5) = H

H = 12.5 ft.

Answer:

Step-by-step explanation:

It's given that One of the first electronic computer was in the shape of a huge box. It was 96 m long and 2.5 m wide.

Length of the box = 96 feet

Breadth of the box = 2.5 feet

Also The amount of space inside was approximately 3,000 cubic feet i.e volume of the box is 3000 ft³.

We know that volume of cuboid is calculated by,

96 × 2.5 × h = 3000

240 × h = 3000

h = 3000/240

h = 12.5 feet

Therefore, Height of the computer is 12.5 feet

The mean of the data set is 82.77

If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.

The first step is to arrange the data set orderly from smallest to largest;

70, 71,79, 82,88,85,87,91,92

We have nine values in the data set thus the mean is;

70+71+79+82+88+85+87+91+92/9= 745/9= 82.77

Hence the mean of the data set is 82.77

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Answer:

[tex]\displaystyle -42 \;\frac{7}{8}[/tex]

Step-by-step explanation:

   We will simplify this expression.

Given:

   7(-6)+7(-1/8)

Multiply:

    [tex]\displaystyle -42- \frac{7}{8}[/tex]

Subtract:

    [tex]\displaystyle -42 \;\frac{7}{8}[/tex]

The volume of the rectangular prism is 13.125 cubic yards.

To find the number of cubes that fit along the length, width, and height of the rectangular prism, we need to divide the length, width, and height by the edge length of each cube, which is 1/2yd.

Along the length: (2 1/2 yd) / (1/2 yd) = 5 cubes

Along the width: (3 1/2 yd) / (1/2 yd) = 7 cubes

Along the height: (1 1/2 yd) / (1/2 yd) = 3 cubes

Therefore, there are 5 cubes along the length, 7 cubes along the width, and 3 cubes along the height of the rectangular prism.

To find the volume of the rectangular prism, we can multiply the length, width, and height:

Volume = (2 1/2 yd) x (3 1/2 yd) x (1 1/2 yd)

Volume = (5/2 yd) x (7/2 yd) x (3/2 yd)

Volume = (13.125 yd^3)

Therefore, the volume of the rectangular prism is 13.125 cubic yards.

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If the width of a rectangle with perimeter P is 6 units, its length would be equal to L = P/2 - 6.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + 6)

P = 2L + 12

P - 12 = 2L

L = (P - 12)/2

L = P/2 - 6.

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Equation: [tex]6xt^4yz^3 + 10a = 1[/tex]. Number of terms: 2, Coefficients: 6, 10 and Constants: 1.

Equation: [tex]25abc^2ab + 3ac6bc + 25[/tex], Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25

What is equation and an expression?

A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.

Equation/Expression: 6xt⁴yz³ + 10a = 1

Number of terms: 2

Coefficients: 6, 10

Constants: 1

Equation/Expression: 25abc²ab + 3ac6bc + 25

Number of terms: 3

Coefficients: 25, 3, 6

Constants: 25

Equation/Expression: 25y³xy + 5 = 100

Number of terms: 2

Coefficients: 25, 1

Constants: 5, 100

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Answer:

mark me as brainliest

Step-by-step explanation:

common stocks

Answer:

  1. Place the point of the compass on point Q and open it to width QR.

   2.Place the point of the compass on the point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.

   3.Use the straightedge to draw a line k that passes through A and intersects line j. Label the point A and draw an arc that intersects line k. Label the intersection as point S.

  4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.

  5. Use the straightedge to draw AB -->.

Step-by-step explanation:

The vertical line at x=0 represents the boundary of the inequality, and the shaded region to the left of the line represents the solution set of the inequality, x < 0.

Explain the term inequality

Inequality refers to the unequal distribution of resources, opportunities, and rewards among individuals or groups within a society. It can be based on factors such as race, gender, income, education, and social status, leading to disparities in outcomes and experiences.

According to the given information

Start by simplifying the inequality using the distributive property and combining like terms:

4(x-1) - 2x < 6 - 5(x+2)

4x - 4 - 2x < 6 - 5x - 10

2x - 4 < -5x - 4

2x + 5x < 4 - 4

7x < 0

x < 0

So the solution to the inequality is x < 0.

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The greatest common factor (GCF) of the polynomial 12x²9x is 3x, therefore option B is correct.

The Greatest Common Factor (GCF) of a polynomial is the largest factor that all of the terms in the polynomial have in common.

To find the GCF, we need to find the largest factor that both terms have in common. Both terms have a factor of 3x, so that is the greatest common factor. Factoring out 3x from each term gives:

12x²9x = 3x(4x)3(3x) = 3x(4x3)

So the GCF of 12x²9x is 3x.

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Clara's and Stefan's pizzas did not have the same ratio of pepperoni pieces to ham pieces.

For Clara,

The number of pepperoni pieces = 4

The number of ham pieces = 6

The ratio = 4:6 = 2:3

For Stefan,

The number of pepperoni piece = 6

The number of ham piece = 10

The ratio = 6:10 = 3:5

Therefore the ratio of Clara's and Stefan's pizzas is not the same.

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Answer:

28

Step-by-step explanation:

you first do the 4x4=16 then 4x3=12 then do 16+12=28

Answer:

Step-by-step explanation:

To find the result when the number 59 is decreased by 3.9%, we need to first calculate what 3.9% of 59 is.

To do this, we can multiply 59 by 3.9% (or 0.039), which gives us:

59 x 0.039 = 2.301

This tells us that 3.9% of 59 is 2.301.

Next, we need to subtract 2.301 from 59 to get the final result:

59 - 2.301 = 56.699

Therefore, the result when the number 59 is decreased by 3.9% is 56.699.  we could say that if you take 3.9% of 59 and subtract that amount from 59, the answer is 56.699.

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Answer:

40

Step-by-step explanation:

Hope this helps! =D

Brainliest! =D

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

y = (5/3)x + 2/3

Step-by-step explanation:

find slope

rise/run

(4--1)/(2--1)

(5)/(3)

M = 5/3

then plug in a point to get the y-intercept

4 = (5/3) * 2 + b

4 = 10/3 + b

subtract 10/3 on both sides

2/3 = b

in y =mx +b the equation is

y = (5/3)x + 2/3

On solving the provided question we can say that Manny would thus require 160 yards of fencing to surround the rectangular plot.

A boundary is a closed route that embraces, encircles, or delimits a two-dimensional form or length in one dimension. The perimeter of a circle or an ellipse is its outermost section. The perimeter calculation is used in a variety of real-world situations. The perimeter of a form is the radius of its edge. Discover how to calculate the perimeter by adding the lengths of the sides of various shapes. The perimeter of a shape may always be calculated by multiplying the lengths of its sides. The perimeter of a thing is the region that surrounds it. At your house, one example is an enclosed garden. The distance around anything is referred to as its perimeter. A 200-foot fence will be required for a 50-foot-by-50-foot yard.

P = 2(l + w), where l is the length and w is the width, gives the perimeter of a rectangle.

The length in this example is 35 yards, while the breadth is 45 yards. So,

[tex]P = 2(35 + 45)\\= 2(80)\\= 160 yards\\[/tex]

Manny would thus require 160 yards of fencing to surround the rectangular plot.

As a result, option (b) 160 yards is the right answer.

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Answer:

To convert 5.25 to a fraction, we can first note that the decimal represents the number 5 units and 25 hundredths. We can write this as:

5.25 = 5 + 0.25

Next, we can convert the decimal 0.25 to a fraction by recognizing that it is equivalent to 25/100 or 1/4. Therefore:

5.25 = 5 + 1/4

We can then combine the whole number 5 with the fraction 1/4 by finding a common denominator:

5 + 1/4 = 20/4 + 1/4 = 21/4

Therefore, 5.25 as a fraction in simplest form is 21/4.

Answer:

i believe it should be

5 1/4

i apologize if wrong, it depends on the ratio (you didnt include it)

The total cost of the bracelet after tax cost addition would be = $21.2

The initial cost of the bracelet = 20$

The percentage of tax = 6%

The cost of tax = 6/100 ×20/1 = $1.2

The total cost of the bracelet after the addition of tax would be = 20+1.2 = $21.2

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Answer:

A

Step-by-step explanation:

it is a bar graph because it involves class interval

Out of the following minerals hornblende is made up of more than one element. Therefore, option D is the correct answer.

Solid, naturally occurring materials known as minerals have a particular chemical makeup and crystal structure. They can be discovered in rocks, soil, and water and are primarily created by geological processes. Minerals are crucial for our bodies' nutritional needs as well as for the construction of structures and the manufacture of electronics, among other facets of our daily life.

Hornblende is a mineral made up of multiple elements, including calcium, magnesium, iron, aluminum, silicon, and sometimes sodium and potassium. The other minerals listed, copper, silver, and gold, are each made up of a single element.

Therefore, the correct option is d. Hornblende

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The expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81

To compare the expressions, we can simplify them using the rules of exponents:

a) 3^3 = 27

b) 3^4 = 81

c) 6^2 = 36

d) 6^3 = 216

e) 9^2 = 81

f) 9^3 = 729

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

Therefore, the expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81

So, options b and e have the same value.

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The calculated value of the perimeter of triangle ABD is 48 units.

Given that

A(1, 1), B(17, 1) and D(17, 13)

To find the perimeter of triangle ABD, we need to find the lengths of its three sides and add them up.

We can use the distance formula to find the lengths of the sides.

The distance between points A and B is:

AB = √((17 - 1)^2 + (1 - 1)^2) = √(256) = 16

The distance between points B and D is:

BD = √((17 - 17)^2 + (13 - 1)^2) = √(144) = 12

The distance between points D and A is:

DA = √((1 - 17)^2 + (1 - 13)^2) = √(256 + 144) = √(400) = 20

Therefore, the perimeter of triangle ABD is:

AB + BD + DA = 16 + 12 + 20 = 48

So, the perimeter of triangle ABD is 48 units.

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