Pls help


a ). |x-4| if x>4

b). |x-2| if x<2

c). |120-x| if x<120


PLS SOLVE QUICK!!! And also just put the answer I don’t need an explanation.

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

75 cm

......................

Answer:

8:32

Step-by-step explanation:

in 4:16, you know that 4 is equal to one fourth of 16, so it can be simplified to 1:4

You can rule out 2:4
6 to 20 can be ruled out because it is equal to 3:10
12:64 can also be ruled out because it equals 3:16
By logic of deduction, the only answer left is 8:32, which is equal to 1:4

Answer:

11x/5

Good Luck!!!

Answer:

2  1/5

Step-by-step explanation:

1/2 ⋅ 4  2/5 = 2  1/5

First, we must turn 4  2/5 into an improper fraction.

Multiply the denominator by the whole number.

4 ⋅ 5 = 20

Add the numerator to 20.

22/5

Multiply 1/2 by 22/5.

The answer is 22/10

Simplify.

11/5

Five goes into eleven two times with a remainder of 1.

2  1/5

Hope I helped :)

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Answer:

5/6, 3/10, 1/2

Step-by-step explanation:

1.5 cakes are shared equally between 6, meaning there are 5/6 of a cake for each person.

2. The pizza is shared equally between 10 people, meaning each person gets 3/10 of a pizza.

3. Each person receives 1/2 of a granola bar as as simplified version 0f 4/8 is 1/2

Answer:

Step-by-step explanation:

Play 1 they lose 4y

-4

Play 2 they lose 13y

-13

Total so far we have

-17

play three they gain 2y

-17+2=-15

Over the course of three plays the team loses 15 Yards.

\(\huge\tt\pink{Answer}\)

A≈852.83cm²

Radius

7cm

Height

31cm

The value of  CB rounded to the nearest hundreth value is 36.93 ft.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: A triangle ABC with perpendicular 12 ft.

and ∠B=18

We know Tan 18=AC/CB

                   CB= AC/tan 18

                  CB= 12/0.32492

                  CB=36.932 ft.

Thus the value of CB is 36.93 ft.

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Answer:

$37.50

Step-by-step explanation:

\(P+Prt=39.75 \\ \\ P+P(2)(0.03)=39.75 \\ \\ 1.06P=39.75 \\ \\ P=\$37.50\)

0.0 mi

I really hope this Helps, I don't know how to explain it really

Answer:

I do not understand this either lolll lolll

but I guess eq 1 = D

EQ 2 = B

EQ 3 = A

EQ 4= C

To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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Answer:

Step-by-step explanation:

6x + 3y = 30 -----------(I)

4x - 3y = 30 -----------(II)

Add equation (I) & (II). So, y will be eliminated and we can find the value of x

(I)       6x + 3y = 30

(II)      4x - 3y = 30   {Now add}

        10x        = 60

                   x = 60/10

x = 6

Plugin x = 6 in equation (I)

6*6 + 3y = 30

36 + 3y = 30

         3y = 30- 36

         3y = -6

           y = -6/3

y = -2

Answer:

-2.8

Step-by-step explanation:

1.4(2-4)

1.4(-2)

=-2.8

Answer:

-2.8

Step-by-step explanation:

1.4(2-4)=1.4(-2)

           =-2.8

Answer:

A: (-2, 0.5)

B: (0,0.5)

C: (0.5,-0.5)

D: (-1.5, -0.5)

Step-by-step explanation:

When dilating about the origin, the distance of each point from the origin changes by the scale factor. For example, if you had a point that was 4 units above the center of dilation, and a scale factor of 1/2, the point would change to be 2 units above the center of dilation, because 1/2 x 2.

To find the image of parallelogram ABCD after a dilation with center (0,0) and a scale factor of 1/2, we need to apply the following transformation to each of the vertices of the parallelogram:\((x, y) to (\frac{1}{2} x, \frac{1}{2}y)\) So, for vertex A (a, b), the image will be (1/2a, 1/2b). Similarly, for vertex B (c, d), the image will be (1/2c, 1/2d), and so on.Therefore, the coordinates of the image of parallelogram ABCD will be:

A' (1/2a, 1/2b)

B' (1/2c, 1/2d)

C' (1/2e, 1/2f)

D' (1/2g, 1/2h)

where A (a, b), B (c, d), C (e, f), and D (g, h) are the coordinates of the vertices of parallelogram ABCD.

Now, to solve this, we input the coordinates.

A has coordinates of (-4,1). 1/2(-4) = -2 and 1/2(1) = 0.5, so A is (-2, 0.5)

B has coordinates of (0,1). 1/2(0) = 0 and 1/2(1)= 0.5. B is  (0, 0.5)

C has coordinates of (1,-1). 1/2(1) = 0.5 and 1/2(-1) = -0.5. C is (0.5, - 0.5)

D has coordinates of (-3,-1). 1/2(-3) = -1.5 and 1/2(-1) = -0.5. D is (-1.5, -0.5)

Let me know if this helped by hitting thanks or brainliest! If you have any questions, comment below and I'll get back to you ASAP.

The coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2 are A'(-2, 0.5), B'(0, 0.5),   C'(0.5, -0.5) and D'(-1.5, -0.5).

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given that, the scale factor is 1/2.

Here, vertices of parallelogram ABCD is A(-4, 1), B(0, 1), C(1, -1) and D(-3, -1).

After dilation we get,

A(-4, 1) → 1/2(-4, 1) → A'(-2, 0.5)

B(0, 1) → 1/2(0, 1) → B'(0, 0.5)

C(1, -1) → 1/2(1, -1) → C'(0.5, -0.5)

D(-3, -1) → 1/2(-3, -1) → D'(-1.5, -0.5)

Therefore, the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2 are A'(-2, 0.5), B'(0, 0.5),   C'(0.5, -0.5) and D'(-1.5, -0.5).

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The total cost function considers the costs of labor and capital, the supply function determines the quantity supplied based on the production function, the profit function calculates the difference between revenue and cost, and the demand function for capital reflects the equilibrium between the marginal product of capital and the rental rate.

a. The total cost function (C) for this firm can be calculated by multiplying the cost of labor (w) with the number of hours of labor (L) and adding it to the cost of capital (r) multiplied by the quantity of capital (K).

So, C = wL + rK.

b. The supply function (MC) for assembled calculators [q(P,v)] can be found by taking the derivative of the production function with respect to q. In this case, MC = ∂q/∂k * ∂k/∂P.

To find q, you will need to substitute the given value of P and v into the production function.

c. The profit function (π) for this firm, stated as a function of the parameters "P" and "v", can be calculated by subtracting the total cost (C) from the revenue (P*q).

So, π = P*q - C.

d. The demand function for capital (k) can be obtained by equating the marginal product of capital (∂q/∂k) to the rental rate (v).

Solve for k to find the demand function for k.

e. The above functions (C, MC, π, k) have the form they do because they are derived from economic principles such as cost minimization, profit maximization, and the marginal productivity of inputs.

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The probability of winning the game before the fourth turn is \(\frac{19}{54}\).

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur. The probability of an event can be determined by dividing the number of favorable outcomes by the total number of possible outcomes.

To find the probability of winning the game before the fourth turn, we need to calculate the probability of winning on the first, second, or third turn and then add them together.

On each turn, rolling a standard die has 6 equally likely outcomes (numbers 1 to 6), and tossing a fair coin has 2 equally likely outcomes (heads or tails).

1.Probability of winning on the first turn: To win on the first turn, we need the die to show a 1 or a 6, and the coin to show heads. Probability of rolling a 1 or 6 on the die:  \(\frac{2}{6} =\frac{1}{3}\)

Probability of tossing heads on the coin: \(\frac{1}{2}\)

Therefore, probability of winning on the first turn: \(\frac{1}{3} *\frac{1}{2}\) = \(\frac{1}{6}\)

2.Probability of winning on the second turn: To win on the second turn, we either win on the first turn or fail on the first turn and win on the second turn. Probability of winning on the second turn, given that we didn't win on the first turn:

\(\frac{2}{3} *\frac{1}{3} *\frac{1}{2} \\=\frac{1}{9}\)

3.Probability of winning on the third turn:

To win on the third turn, we either win on the first or second turn or fail on both the first and second turns and win on the third turn. Probability of winning on the third turn, given that we didn't win on the first or second turn:

\(\frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\=\frac{2}{27}\)

Now, we can add the probabilities together:

Probability of winning before the fourth turn =

\(\frac{1}{6}+\frac{1}{9}+\frac{2}{27}\\\\=\frac{9}{54}+\frac{6}{54}+\frac{4}{54}\\\\=\frac{19}{54}\\\)

Therefore, the probability of winning the game before the fourth turn is  \(\frac{19}{54}\).

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Answer: A=105

Step-by-step explanation: This is why:

lxwxh

so 15x14x50=105

Probabilities scale with the probability of passing an exam marked at 2/3 is given:

A probability scale is a number line that shows the probabilities of events occurring. The scale ranges from 0 to 1, where 0 represents an impossible event and 1 represents a certain event.

Using these steps, we can mark 2/3 probability on the scale at a point that is two-thirds of the distance between 0 and 1. This point would be closer to 1, indicating that passing the exam is a likely event.

Here is a probabilities scale with the probability of passing an exam marked at 2/3:

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Answer: no 3 is grade then -6 as 3 is positive number and 6 is negative number so positive is greater then negative number.

Step-by-step explanation:

In order to indicate if a number is greater than or less than another, we use the symbols > and <. For example, 10 is greater than 3, so we write it 10 > 3.

The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

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There are four integer solutions that satisfy the given conditions: (7, 2, 5, 2), (10, 2, 5, 2), (20, 5, 2, 1), and (25, 4, 1, 1).

The equation wxyz = 100 has a finite number of integer solutions when the given conditions are satisfied. To find the number of solutions, we need to consider the factors of 100 and determine the combinations that meet the given conditions.

Since we have the restrictions w ≥ 7, x ≥ 0, y ≥ 5, and z ≥ 4, we can analyze the factors of 100 and their possible combinations that satisfy these conditions.

The prime factorization of 100 is 2^2 * 5^2. We can express 100 as a product of two factors in the following ways:

1 * 100

2 * 50

4 * 25

5 * 20

10 * 10

20 * 5

25 * 4

50 * 2

100 * 1

However, we need to consider the given conditions. From the conditions w ≥ 7, x ≥ 0, y ≥ 5, and z ≥ 4, we can eliminate certain combinations:

- In the cases where w is less than 7, the condition is not satisfied.

- In the cases where x is negative, the condition is not satisfied.

- In the cases where y is less than 5, the condition is not satisfied.

- In the cases where z is less than 4, the condition is not satisfied.

After considering these conditions, we find that the only valid combinations are:

7 * 2 * 5 * 2

10 * 2 * 5 * 2

20 * 5 * 2 * 1

25 * 4 * 1 * 1

Therefore, there are four integer solutions that satisfy the given conditions: (7, 2, 5, 2), (10, 2, 5, 2), (20, 5, 2, 1), and (25, 4, 1, 1).

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Answer:

1120000 attendees

Step-by-step explanation:

Given that:

Yearly Average attendance = 2.8 * 10^5 people

How many attendees can be expected to attend over 4 years

Average Yearly attendees * 4

(2.8 * 10^5) * 4

= 2.8 * 4 * 10^5

= 11.2 * 10^5

= 1120000 attendees

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

30cm

Step-by-step explanation:

10+10=20

5+5=10

10+20=30

Answer:

30 cm

Step-by-step explanation:

10+5+10+5=30 cm

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer: 1665

Step-by-step explanation:

Prime factorization of the numbers:

15 = 3 × 5

45 = 3 × 3 × 5

37 = 37

LCM(15, 45, 37)

= 3 × 3 × 5 × 37

= 1665

Hope this helps!

Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128

Answer:

1/f(x)

Step-by-step explanation: