The inverse of a function can be found by ___ the numbers in each ordered pair of the function.

The figure is composed of a rectangle and a triangle, therefore, the area is calculated as: 96 square inches.

Area of the triangle = 48 square inches.

The composite figure is composed of a triangle and a rectangle. Therefore, we have:

Area = area of triangle + area of rectangle

Area of rectangle = length * width = 12 * 4 = 48 square inches.

Area of the triangle = 1/2 * base * height = 1/2 * 12 * 8 = 48 square inches.

The area of the composite figure = 48 + 48

= 96 square inches.

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Answer: 5

Step-by-step explanation: Use Pythagorean Theorem!

a^2+b^2=c^2

a=leg

b=leg

c=hypotenuse

4^2+3^2=c^2

16+9=25

25 squared root is 5!

Answer:

Step-by-step explanation:

Use pythagorean   the hypotenuse is always across from th right angle and is the longest in a right triangle

34² = 16² + x²

1156 = 256 + x²                bring 256 over to other side by subtracting

900 = x²                take square root of both sides to solve for x

x = 30

Answer:

Step-by-step explanation:

In the given figure,

34 is Hypotenuse i.e the largest side

16 is perpendicular

b = Base

Using Pythagoras theorem,

(Hypotenuse)² = (Perpendicular)² + (Base)²

(34)² = (16)² + (b)²

1156 = 256 + b²

1156 - 256 = b²

900 = b²

b = √900

b = 30

Therefore, Value of b is 30.

To find the interval(s) over which the function -3x^2+12 is decreasing, we need to find the critical points of the function and test the sign of the derivative on either side of these points.

The derivative of the function -3x^2+12 is -6x.

Setting the derivative equal to zero to find the critical points:

-6x = 0

x = 0

Testing the sign of the derivative on either side of x = 0:

-6x is negative for x > 0, meaning the function is decreasing on the interval (0, infinity).

-6x is positive for x < 0, meaning the function is increasing on the interval (-infinity, 0).

Therefore, the interval over which the function -3x^2+12 is decreasing is (0, infinity).

The inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.

Given that, Viviana saved $500, but she needs a total of $1000 to buy a car.

Viviana earns $75 per week.

Let number of weeks required to earn the required money be w.

Here, 500+75w≤1000

75w≤500

w≤500/75

w≤6.67

Therefore, the inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.

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The length of each piece of wood is 0.725 feet.

We are given that the Length= 3.5feet

Now,

This is a word problem that can be solved by using algebra and arithmetic.

Part A: Let x be the length of each of the four pieces of wood he cut. Then, according to the problem, we have:

4x + 0.6 = 3.5

This is the equation that could be used to determine the length of each piece of wood.

Part B: We know the equation from part A is correct because it represents the total length of the wood before and after cutting. The left side of the equation is the sum of the lengths of the four pieces of wood and the leftover piece of wood. The right side of the equation is the original length of the wood. Since cutting does not change the total length of the wood, these two sides must be equal.

Part C: To solve the equation from part A, we need to isolate x by using inverse operations. We get:

4x + 0.6 = 3.5 4x = 3.5 - 0.6 (subtract 0.6 from both sides) 4x = 2.9 x = 2.9/4 (divide both sides by 4) x = 0.725

Therefore, by the algebra the answer will be 0.725 feet.

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Answer:

-4 or 4

Step-by-step explanation:

We can solve for the value of y by using the first equation to express y in terms of x and then substituting the resulting expression for y into the second equation.

From the first equation, we have:

4x - y = 4

Rearranging this equation to solve for y, we get:

y = 4x - 4

Now, we can substitute this expression for y into the second equation:

2x^2 - y = 4

Replacing y with 4x - 4, we get:

2x^2 - (4x - 4) = 4

Expanding the brackets and simplifying, we get:

2x^2 - 4x + 4 = 4

Subtracting 4 from both sides, we get:

2x^2 - 4x = 0

Factorizing, we get:

2x(x - 2) = 0

Using the zero product property, we see that this equation is satisfied when either 2x = 0 or x - 2 = 0.

If 2x = 0, then x = 0, and we can use the expression for y that we found earlier to get:

y = 4x - 4 = 4(0) - 4 = -4

If x - 2 = 0, then x = 2, and again using the expression for y, we get:

y = 4x - 4 = 4(2) - 4 = 4

Therefore, the possible values of y are -4 and 4. We would need more information to determine which value of y is the correct one in this context.

Answer:

Step-by-step explanation:

The diameter of each bead is 1.5 millimeters, which means the radius of each bead is 0.75 millimeters (since radius = diameter/2).

The volume of a sphere is given by the formula V = (4/3)πr^3.

Substituting the radius of each bead into the formula, we get:

V = (4/3)π(0.75)^3 ≈ 1.7671 cubic millimeters

To find the total volume of the 360 beads used to create the border of the picture frame, we can simply multiply the volume of one bead by the total number of beads:

Total volume = 360 × 1.7671 ≈ 635.76 cubic millimeters

Therefore, the approximate total volume of the beads that form the border of the picture frame is about 635.76 cubic millimeters.

Results:

A. An equivalent expression to represent the sale price of the item of p - 0.1p = 0.9p.

B. The different ways to be used to find the sale price of an item in Midland Electronics are:

(i) We can take the original price of the item and multiply it by 0.9, which is the percentage of the original price that is being paid after the 10% discount.

(ii) Or we can subtract the discount amount from the original price, where the discount amount is equal to 0.1 times the original price.

Both of these methods lead to the same sale price of the item.

We can write the expression by:

Simplify the expression p - 0.1p by factoring out the common factor of p:

p - 0.1p = p(1 - 0.1)

Simplifying further, we can see that 1 - 0.1 equals 0.9

Substitute the value back into the expression:

p - 0.1p = p(1 - 0.1)

= p(0.9) = 0.9p

Thus, an equivalent expression of p - 0.1p = 0.9p

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Answer:

(0, -3) and (3, -5)

Step-by-step explanation:

To graph the line of the equation f(x) = -2/3x - 3, we can choose any two points on the line. One way to do this is to find the y-intercept and another point using the slope of the line.

1. To find the y-intercept, let x = 0 and solve for y:

f(0) = -2/3(0) - 3 = -3

So the y-intercept is (0, -3).

2. To find another point, we can use the slope of the line, which is -2/3. We can start from the y-intercept (0, -3) and move down 2 units (since the slope is negative) and to the right 3 units (since the denominator of the slope is 3) to get another point on the line:

(3, -5)

So the two points we can use to graph the line are (0, -3) and (3, -5).

The values of each number using power 10 is shown below.

1. 79 x 10

= 790

2. 15 x 100

= 1500

3. 22 x 1,000

= 22,000

4. 15 x 1000

= 15,000

5. 83 x 102

= 8,466

6. 23 x 10²

= 2300

7. 72 x 10²

= 7200

8. 4 x 10²

= 400

9. 75 x 10²

= 7500

10. 55 x 10²

= 5500

11. 81 x 10³

= 81,000

12. 3 x 10³

= 3000

13. 85 x 10³

= 85, 000

14. 98 x [tex]10^{-1[/tex]

= 9.8

15. 86 x [tex]10^{-3[/tex]

= 0.086

16. 65 x [tex]10^{-2[/tex]

= 0.65

17. 19 x 10³

= 19,000

18. 3.49 x [tex]10^{9[/tex]

= 349,000,000,000

19. 2.79 x [tex]10^{8[/tex]

= 27,900,000,000

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The axis of symmetry for the given object and image is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The object and the image

By definition, the axis of symmetry is any line that divides a shape and its image into symmetrical parts i.e. into identical shapes and sizes

In this case, the axis of symmetry would be a vertical line that divides both triangles in to identical figures

Using the above definition as a guide, we can draw the axis of symmetry for the object and image & then label it AB

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The area and perimeter of the shape are 370mm² and 90mm respectively.

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

Perimeter is the addition of the sides of the shape.

Therefore, the perimeter of the shape = 15+15+30+30 = 30+60 = 90mm

The area of the shape = area of the whole shape - area of the cut out

area of the whole shape = l×w

= 30×15 = 450mm²

area of the cut out =l×w

8× 10 = 80mm²

area of the shape = 450-80

= 370mm²

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Answer: B. $1.49

Step-by-step explanation:

1.) Find how much one pound of cherry tomatoes would cost. To do so, do

4.50 (the cost for 3 lbs for cherry tomatoes) /3 (the number of pounds), which would be $1.50 per pound of cherry tomatoes.

2.) Find how much one pound of heirloom tomatoes would cost. To do so, do 5.98 (the cost for 2 pounds for heirloom tomatoes) /2 (the number of pounds), which would be $2.99 per pound of heirloom tomatoes.

3.) Subtract. To find the "difference" in the unit costs of the tomatoes, do 2.99-1.50=1.49.

Therefore, the difference in the unit costs of the tomatoes is B. $1.49.

The true statements of the given lines are:

An undefined slope pertains to the gradient of a line that is vertical, consequently extending straightly up and down on a graph as demonstrated by Line SW. On the other hand, a slope with no incline (0) imparts the trait of an even horizontal line, which advances in a steady left-right formation on a graph like that of Line TV.

Additionally, parallel lines are two non-intersecting turns in a plane that never meet, regardless of how far they may progress. In this respect, Lines RS and TV remain perpetually parallel.

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If the function's f(x) = |x|, graph is shifted right by 3 units, and vertically stretched by a factor of "4", then function which best describes the transformed-function is 4|x-3|.

Let the transformed function be : g(x); The transformed function g(x) is obtained by applying two transformations to the original function f(x) = |x|.

The "first-transformation" is to make a "horizontal-shift" (right-shift) of 3 units. This means that the entire graph of the function is shifted to the right by 3 units, so, function becomes |x-3|.

The "second-trans-formation" is to stretch the graph vertically by a factor of 4. This means that the entire graph of the function is stretched vertically,

Now, the function becomes, g(x) = 4|x-3|.

Therefore, the transformed function is 4|x-3|.

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The possible values of x are numbers greater than 2, that is x > 2. The square have a greater area than the rectangle, and the difference in areas is 1 cm²

All values equal to or less than 2 will result to either negative or a zero for the width of the rectangle, thus only numbers greater than 2 can give positive side lengths so possible values of x > 2.

If x = 3 then;

Area of rectangle = 3 cm × (3 - 2) cm

Area of rectangle = 3 cm²

Area of square = (3 - 1)cm × (3 - 1) cm

Area of square = 2 cm × 2 cm

Area of square = 4 cm²

For any value of x greater 2, the difference in the areas is 1 cm²

Therefore, the possible values of x are numbers greater than 2, that is x > 2. The square have a greater area than the rectangle, and the difference in areas is 1 cm²

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It's crucial to take a collaborative approach and involve employees in the change process as much as possible.

In the unfreezing stage, it is important to gather information and input from various stakeholders in order to influence change effectively. Therefore, asking the VP and analyst questions such as "What do you think are the areas that need improvement in our current system?" or "How do you think changing the system would benefit our organization?" can provide valuable insight into the motivation for change.

Surveying a sample set of employees at each location to ask their opinions on the current system and whether they think changes are necessary is also a good approach. This can help to identify common pain points and gauge the level of employee buy-in for potential changes. It's important to also consider other factors such as the cost and feasibility of implementing changes, as well as potential risks and benefits.

Mandating change without proper analysis and buy-in from employees may lead to resistance and resentment. Ultimately, the decision to change or not should be based on a thorough assessment of the situation, including feedback from stakeholders and the potential impact on the organization.

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The maximum value of the function on the closed interval is 11

Given  the function

f(x) = 2x + 5, with interval [-10, 3].

First need to find the critical points of the function within the interval and compare their values. The critical points occur when the derivative of the function is equal to zero or undefined.

first order derivative of f(x):

f'(x) = 2 ≠ 0 (no critical points)

Since the interval is bounded, the maximum value of the function occurs at either one of the endpoints or at a critical point outside the interval.

At x = -10,

f(-10) = 2(-10) + 5 = -15

At x = 3,

f(3) = 2(3) + 5 = 11

Therefore, the maximum value of f(x) on the closed interval [-10, 3] is 11, which occurs at x = 3.

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$36.75 is the price of chicken feed.

Given that,

A farmer is purchasing feed for his chickens. Before tax, a large bag of chicken feed costs $35. The farmer wants to know the total price, including the 5% sales tax.

To find tax:

5/100 * 35

*5% basically means 5 out of 100%.

The Tax is $1.75.

Then, to find the price of chicken feed, we add the tax with $35.

So...

1.75 + 35

=36.75

Answer:

$36.75

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Answer:

Step-by-step explanation:

The radius of the cylindrical construction pipe is half of the diameter, which is 6/2 = 3 feet. Using the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height (or length in this case), we can calculate the volume of the pipe:

V = 3.14 × 3^2 × 26

V ≈ 2198

Rounding to the nearest whole number, the volume of the pipe is 2198 cubic feet.

Answer:

a and c

Step-by-step explanation:

Answer: D would be the right chose

Step-by-step explanation:

hope this helps

8/105 is the probability of selecting a red jelly bean the first draw and a blue jelly bean on the second draw, Therefore option C is correct.

The probability of selecting a red jelly bean on the primary draw is 8/(8+2+4+7) = 8/21, for the reason that there are 8 red jelly beans out of a complete of 8+2+4+7 = 21 jelly beans.

Since the jelly bean is not returned to the jar after the first draw, the number of jelly beans in the jar decreases through 1. consequently, on the second draw, there are 20 jelly beans left within the jar.

Out of those 20 jelly beans, 4 are blue. for that reason, the possibility of selecting a blue jelly bean on the second one draw, given that a red jelly bean was selected on the first draw, is 4/20 = 1/5.

To discover the probability of both events going on collectively & we multiply the probabilities of the 2 events:

P(red on 1st and Blue on 2d) = P(red on 1st) * P(Blue on 2nd | red on 1st)

P(red on 1st and Blue on 2nd) = (8/21) * (1/5)

P(red on 1st and Blue on 2nd) = 8/105

Therefore, 8/105 is the probability of selecting a red jelly bean the first draw and a blue jelly bean on the second draw

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The statement is true. In order to generate a sample size using XL data analyst software, you must first estimate the population proportion (p) and specify your allowable margin of error.

Estimating p involves making an educated guess about the proportion of the population that possesses a certain characteristic or meets a certain criteria. This estimation can be based on prior research, historical data, or your own observations. It is important to note that your estimation of p will affect the size of your sample, with a larger sample size needed for smaller values of p.

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There are 210 ways we can give 4 different prizes to any 4 of 10 people if no person receives more than 1 prize.

To calculate the number of ways we can do this, we can use the formula for combinations. The formula for the number of ways to choose r objects from a set of n objects is:

ⁿCₓ = n! / x!(n-x)!

where n! represents the factorial of n, which is the product of all positive integers up to n.

5! = 5 x 4 x 3 x 2 x 1 = 120.

In this problem, we want to choose 4 people from a set of 10, so we can use the formula:

¹⁰C₄ = 10! / 4!(10-4)!

Simplifying this expression, we get:

¹⁰C₄ = (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)

¹⁰C₄ = 210

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The scale factor that was used to create the image, given the graph, would be C. 1 / 4.

To find the scale factor that was used to create the image, we can take the measurement of the distance of AB . The graph shows that if each cell is 1 unit, then the distance of AB would be 8 units.

By the same logic, the distance of A'B' would be 2 units.

The scale factor is therefore:

= Distance of image created / Distance of corresponding side on original image

= 2 / 8

= 1 / 4

In conclusion, the scale factor is 1 / 4 .

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Answer:

C

Step-by-step explanation:

7.3<7.4<72.14<91.34<723.99

The variable which is being forecasted is referred as option A: endogenous variable.

A variable in a statistical or economic model that is explained by or determined by other variables inside the model is known as an endogenous variable. In other words, the endogenous variable's value depends on the values of other model variables.

Exogenous variables are often thought of as external or independent factors that may have an impact on endogenous variable values but are not directly impacted by them. A variable that is used to predict or explain the values of another variable, also known as the dependent variable, is known as an explanatory variable.

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Correct question:

The variable which is being forecasted is referred as:

endogenous variable

independent variable

explanatory variable

exogenous variable

The requried number of students that study both language and French is 20 and 145 respectively.

From the information given, we know that:
The total number of students is 225.
80 students study Arabic only.

125 students study French (which includes some who also study Arabic).

To find the number of students who study both subjects, we can subtract the number of students who study Arabic only from the total number of students who study French:
= 225 - 80 -125

= 20

Now the number of students who study French is given as:

= 20 + 125
= 145

Thus, the requried number of students that study both language and French are 20 and 145 respectively.

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