solve it : -

\( \sqrt{6 \times 24} \)
_______​

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Yes, the relation shown is a function because every element in the domain has only one distinct image in the co-domain.

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

Answer:

13.3 repeated

Step-by-step explanation:

You need to take 2000 and divide it by 15. Then your answer will come.

*13.3*

Answer:

7 hrs

Step-by-step explanation:

2000 grocery bags

Let x be the number of hours

If they're handing out 150 bags per hour, then 150x would be the amount given out in x hrs.

Since we want to get 950 bags left over a certain number of hrs, make this equation and solve:

950=2000-150x

150x=1050

x=7

Answer:

4a^2 (8a+3)

Step-by-step explanation: it’s right

Answer:

A.

Step-by-step explanation:

edg 2021

The correct answer is 4) observed score.

The observed score refers to the actual score that is recorded or measured in a particular situation. This score can be influenced by various factors such as measurement error, observer bias, or the conditions under which the score was obtained.

The observed score represents the result that is directly obtained from a test, questionnaire, or any other measurement tool.

The true score refers to the actual ability, knowledge, or any other characteristic that the individual possesses. The true score is typically unobservable and is often estimated by considering the average of multiple observed scores.

The error score represents the difference between the observed score and the true score. This score reflects the extent to which measurement error or other factors influenced the recorded score.

False score refers to a score that is intentionally or unintentionally altered or manipulated to present a different picture of an individual's performance or ability. It is different from the error score in the sense that it is not a result of measurement error, but rather an intentional manipulation of the score.

Therefore, the score that you would actually record is an example of the observed score.

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Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Answer:

The sum is 1260°.

Step-by-step explanation:

Answer:

\(6 \frac{1}{12}\)

Step-by-step explanation:

1) Use Least Common Denominator or (LCD)

LCD = 12

2) Make the denominators the same as the LCD.

\(5 + \frac{1 times 4 }{3 times 4 } + \frac{3 times3}{4times 3}\)

3) Simplify. Denominators are now the same.

\(5 + \frac{4}{12} +\frac{9}{12}\)

4)  Join the denominators.

\(5+ \frac{4+9}{12}\)

5)  Simplify.

\(5+\frac{13}{12}\)

6) Convert 13/12 into a mixed number.

\(5+ 1 \frac{1}{12}\)

7)  Simplify.

\(6 \frac{1}{12}\)

Decimal Form: 6.083333

Answer:

The probability is \(\frac{3}{4^7}\).

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

\(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}\)

Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

Answer: 4°F

Step-by-step explanation:

8-4=4

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

The height of the skyscraper to the nearest tenth is 234. 95 meters.

From the information given, we have:

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

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Answer:

236.5

Step-by-step explanation:

Answer:

Solve for x

Multiply in cross

distributive property right side

subtract 3x both sides

Adds 28 both sides

Divide by 4 both sides and rewrite

Step-by-step explanation:

Answer:

multiply by 2

Step-by-step explanation:

Answer:

you will have to multiply by 2

Yes, simulations can indeed be a practical alternative to calculating probabilities based on formal rules. Simulations allow us to replicate a procedure or event using randomization to generate outcomes similar to those we are interested in studying.

By repeatedly running the simulation, we can gather data and observe the frequency of specific outcomes, which can provide an estimate of the probability of those outcomes occurring.

In the example you mentioned, instead of calculating the probability of getting exactly 5 boys in 10 births using complex calculations, a simulation approach can be employed. By simulating the process using coins or a random number generator, where heads represent boys and tails represent girls, we can perform numerous trials and count the occurrences of obtaining 5 heads (boys) in 10 tosses (births). By recording and analyzing the results of these simulated trials, we can approximate the probability of getting exactly 5 boys in 10 births.

Simulations offer a practical and efficient way to estimate probabilities, especially in situations where direct calculations may be challenging or time-consuming. They allow us to model and understand complex systems and make informed decisions based on observed frequencies and patterns.

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Answer:

x = -2

Step-by-step explanation:

alot to explain soo

Answer: B. X = -2

Step-by-step explanation:

-9x + 1 = -x + 17 (add x to both like terms).

-8x + 1 = 17 (subtract 1 from both sides).

-8x = 16 (divide 8 by both sides)

X = -2

Hope this helped. :)

Huh? what do you mean

The answer of the given question based on finding  the area of the shaded sectors the answer is  approximately 18.8 + 4.2 = 23.0 square units.

An angle is geometric figure formed by the two rays or lines that share common endpoint, called  vertex. The rays or lines are often referred to as arms or sides of angle

We need to know the central angles of each sector. We can find these angles by using the formula:

angle = (arc length / radius) * (180/π)

where π is pi, approximately equal to 3.14.

Therefore, we can use trigonometry to find angle EOB:

sin(EOB) = EB/OA

sin(EOB) = 10.4/8

EOB = sin^-1(10.4/8)

EOB ≈ 56.7° degrees

Since angle EOA is a right angle, we know that angle AOB is 90° degrees, so angle AOE is 90 - EOB = 33.3° degrees.

Now, we can find the area of each sector using the formula:

area = (angle/360) * π * r²

Area of shaded sector ADE:

angle AOE = 33.3° degrees

radius = OA = 8

area = (33.3/360) * π * 8²

area ≈ 18.8 square units

Area of shaded sector EBC:

angle EOB = 56.7° degrees

radius = EB/2 = 5.2

area = (56.7/360) * π * 5.2²

area ≈ 4.2 square units

Therefore, the total area of the shaded sectors is approximately 18.8 + 4.2 = 23.0 square units.

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Result:

1. Based on the properties, the most precise name for figure is A. parallelogram

2. From the properties, the most precise name for the figure is B. rhombus.

We can determine the precise name of the figure calculating the slopes of AB, BC, CD, and DA using the slope formula and/or the distance formula:

1. Using the slope formula:

AB = (0 - (-6))/(2 - (-5)) = 2

BC = (9 - 0)/(11 - 2) = 9/9 = 1

CD = (3 - 9)/(4 - 11) = -6/-7 = 6/7

DA = (-6 - (-5))/( -5 -(-5)) = 0

Calculate the lengths of the sides using distance formula:

AB = \(\sqrt((2 - (-5))^2 + (0 - (-6))^2)\) = \(\sqrt(7^2 + 6^2)\) = \(\sqrt{85}\)

f BC = \(\sqrt((11 - 2)^2 + (9 - 0)^2)\) = \(\sqrt(9^2 + 9^2)\) = 9√2)

CD = \(\sqrt((4 - 11)^2 + (3 - 9)^2)\) = sqrt\(\sqrt(7^2 + 6^2)\) = √85

DA = \(\sqrt((-5 - 4)^2 + (-6 - (-9))^2)\) = \(\sqrt(9^2 + 3^2)\) = 3√10

The slopes of AB and CD are equal (2 and 6/7, respectively), and the slopes of BC and DA are equal (1 and 0, respectively).

Therefore, opposite sides are parallel that is a parallelogram.

2. First, we can calculate the slopes of AB, BC, CD, and DA using the slope formula:

AB = (1 - (-4))/(-7 - (-9)) = 5/2

BC = (5 - 1)/(1 - (-7)) = 4/4 = 1

CD = (0 - 5)/(-1 - 1) = -5/-2 = 5/2

DA = (-4 - 0)/(-9 - (-1)) = 4/8 = 1/2

Next, using the distance formula, we calculate the lengths of the sides:

AB = \(\sqrt((-7 - (-9))^2 + (1 - (-4))^2)\) = \(\sqrt(2^2 + 5^2)\) = \(\sqrt29\)

BC = \(\sqrt{(1 - (-7))^2 + (5 - 1)^2}\) = \(\sqrt(8^2 + 4^2)\) = 4\(\sqrt17\)

CD = \(\sqrt((-1 - 1)^2 + (0 - 5)^2)\) = \(\sqrt(2^2 + 5^2)\) = \(\sqrt29\)

DA = \(\sqrt((-9 - (-1))^2 + (-4 - 0)^2)\) = \(\sqrt(8^2 + 4^2)\) = \(\sqrt80\))

The slopes of AB and CD are equal (5/2 and 5/2, respectively), and the slopes of BC and DA are equal (1 and 1/2, respectively). meaning the opposite sides are parallel.

AB and CD have the same length (\(\sqrt(29)\)), and BC and DA have the same (4\(\sqrt(17}\)), which means it's a rhombus.

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There are two cases when it might be inappropriate to use a linear regression equation for prediction despite significant correlation between two variables are Non-Linear Relationships ,  Outliers

1. Non-Linear Relationships: If the relationship between the two variables is non-linear, a linear regression equation will not accurately capture the relationship and should not be used for prediction.

For example, the relationship between the height and weight of a person might follow a quadratic or cubic relationship and thus, a linear regression equation would not provide accurate predictions.

2. Outliers: If there are outliers in the data, a linear regression equation may be inappropriately influenced by them, leading to inaccurate predictions.

For example, in a dataset of the relationship between a person's height and salary, the salary of a CEO might be an outlier and affect the linear regression equation, leading to inaccurate predictions for other employees.

In these cases, alternative regression models or data transformation techniques might be more appropriate.

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If Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.

To explain how this is determined, we can use a basic equation. We know that Art made 12 cookies with the same amount of dough. If Art sells each cookie for 60 cents, then the total amount of money they earn from a single batch is 12 x 60 = 720 cents. We also know that Roger is trying to earn the same amount from a single batch of cookies.

To calculate how much each of Roger's cookies should cost, we need to divide the total amount of money, 720 cents, by the number of cookies, 12. Therefore, the cost of each of Roger's cookies is 720 / 12 = 70 cents.

To summarize, if Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.

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Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3(2-5x)

9-6+15x

3+15x

Answer:

C

Step-by-step explanation:

9-3(2-5x)

9-6+15x=

3+15x

The function f(x) such that f'(x) = 8x² + 3x - 6 and f(0) = 6 is:
f(x) = (8/3)x³ + (3/2)x² - 6x + 6

To find f such that f'(x) = 8x² + 3x - 6 and f(0) = 6, we need to integrate f'(x) to find f(x), and then use the initial condition f(0) = 6 to solve for the constant of integration.

Integrating f'(x), we get:

f(x) = ∫ (8x² + 3x - 6) dx
f(x) = (8/3)x³ + (3/2)x² - 6x + C

where C is the constant of integration.

To solve for C, we use the initial condition f(0) = 6:

f(0) = (8/3)(0)³ + (3/2)(0)² - 6(0) + C = C
C = 6

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The total cost price of the basket is $22.

What is Discount ?

 The discount is determined by dividing the purchase price by the item's par value. The discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate.

Here ,

Original cost price of the basket = $40

After 50% offer the cost price of the bag is,

=> 40- 50% of 40

=> 40 - 20

=> $20.

Now the sales tax is 10% then,

=> 20+ 10% of 20

=> 20+ 2

=>$22

Therefore the total cost is $22 after discount.

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The probabilities are : pr(a) = 0.5 , pr(b) = 0.25 , pr(c) = 0.125 , pr(d) = 0.25.

The probability of flipping a head first is 0.5 because there is a 50% chance of flipping heads on any given flip. The probability of flipping 2 heads is 0.25 because there are 4 possible outcomes (HHTT, HTHT, HTTH, THHT) and only 1 of them (HHTT) results in 2 heads. The probability of flipping 3 or more heads is 0.125 because there is only 1 possible outcome (HHHH) that results in 3 or more heads. The probability of the last 2 flips being tails is 0.25 because there are 4 possible outcomes (TTHH, THTH, HTTH, HHTT) and 1 of them (TTHH) results in the last 2 flips being tails. The following table summarizes the probabilities: pr(a) = 0.5 , pr(b) = 0.25 , pr(c) = 0.125 , pr(d) = 0.25.

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