387.4 when rounded to the nearest tenth.​

Answer:

27 yd²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

The value of x is 1.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 8 is an equation.

We have,

2x + y = 8 _____(1)

5x - y = -5 _____(2)

3x = 3 ______(3)

From (3) we get,

x = 1

Thus,

x is 1.

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In this case, we can use the law of cosines on triangle ARS:

cos ZR =\((r^2 + t^2 - (96^2 + 33^2 - 2 \times 96 \times 33 \times cos 58)) / (2 \times r \times t)\)

r = 96 inches, t = 33 inches

cos ZR = \((96^2 + 33^2 - (96^2 + 33^2 - 2 \times 96 \times 33 \times cos 58)) / (2 \times 96 \times 33)\)

cos ZR = \((96^2 + 33^2 - (96^2 + 33^2 - 11776)) / (2 \times 96 \times 33)\)

cos ZR = \((96^2 + 33^2 - 11776) / (2 \times 96 \times 33)\)

cos ZR = \((96^2 + 33^2 - 11776) / 6912\)

Now that we have the cosine of ZR, we can find ZR itself by taking the inverse cosine (\(cos^-1\)) of this value:

ZR = \(cos^{-1} (cos ZR)\)

ZR can be rounded to the nearest degree

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Note: The correct question would be as bellow,

In ARST, R = 96 Inches, T = 33 Inches And ZT=58º. Find All Possible Values Of ZR, To The Nearest Degree.

Answer:

-4

-1

2

5

8

Step-by-step explanation:

A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.

The given equation is 15x^2 - 56 = 88 - 6x^2.

We need to find the values of x that are solutions to the given equation.

Solution: We are given an equation 15x² - 56 = 88 - 6x².

Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56  21x² = 144  

x² = 144/21 = 48/7

Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).

The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).

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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

Firstly, let's add 6x² to both sides of the equation as shown below.

15x² - 56 + 6x² = 88

15x² + 6x² - 56 = 88

Simplify as shown below.

21x² = 88 + 56

21x² = 144

Now let's divide both sides by 21 as shown below.

x² = 144/21

x² = 6.86

Now we need to solve for x.

To solve for x we need to take the square root of both sides.

Therefore, x = ±√(6.86).

Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

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Answer:

2379

Step-by-step explanation:

Answer:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Brainliest?

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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The required polynomial function is y=3(x+3)⁴(x-4 ) for the conditions as mentioned fifth degree, 3 is a zero of multiplicity 4,-4 is the only other zero, leading coefficient is 3.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only involves non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

Here the given conditions are:

Fifth degree, 3 is a zero of multiplicity 4,-4 is the only other zero, leading coefficient is 3.

Let y be the f(x) and x be the variable.

Now, x+3 is the first term and x-4 be the second term with their multiplicity 4 and 1.

y=3(x+3)⁴(x-4)

For the above-mentioned fifth-degree conditions, the necessary polynomial function is y=3(x+3)⁴(x-4); 3 is a zero of multiplicity 4,-4 is the only other zero, leading coefficient is 3.

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Answer:

387.50.

Step-by-step explanation:

Answer:

15 km

Step-by-step explanation:

Given the table:

\(\begin{center}\begin{tabular}{ c c}Position(Km) & Time(sec) \\ 5 & 0 \\ 8 & 2 \\ 10 & 4 \\ 16 & 6 \\ 20 & 8 \\ 20 & 10 \\\end{tabular}\end{center}\\\)

To find:

The distance traveled by the car.

Solution:

Here, we are given the position of the car after an interval of 2 seconds.

We are not given the distance traveled.

If the distance traveled would have been given, then distance traveled by car = Sum of all the values = 5 + 8 + 10 + 16 + 20 + 20 = 79 km

Then the answer would have been 79 km.

As, we are given the position here, so the distance traveled will be equal to final position minus the initial position.

Distance traveled in 10 seconds = Position at 10 seconds - Position at 0 seconds = 20 - 5 = 15 km

Answer:all lines are straight

Step-by-step explanation:

The probability that the mean score of 20 randomly selected men is at least 513.2 is approximately 0.217.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we need to use the central limit theorem.

Assuming that the scores of men are normally distributed with a mean of μ and a standard deviation of σ, the sample mean of a random sample of size n (in this case, n=20) will be normally distributed with a mean of μ and a standard deviation of σ/sqrt(n).

Let X be the score of a randomly selected man. We know that μ = 510 and σ = 20. Therefore, the sample mean of 20 randomly selected men will be normally distributed with a mean of 510 and a standard deviation of 20/sqrt(20) = 4.47.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we can standardize the distribution of the sample mean using the z-score formula:

z = (x - μ) / (σ / sqrt(n))

where x is the value we want to find the probability for, μ and σ are the mean and standard deviation of the population, and n is the sample size.

Substituting the given values, we get:

z = (513.2 - 510) / (4.47)

z ≈ 0.784

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than or equal to 0.784:

P(Z ≥ 0.784) ≈ 0.217

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The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

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Answer:

Volume=2/6cu.ft

Step-by-step explanation:

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

option B

Using a normal approximation, the probability that at most 60 out of 200 randomly selected residents will choose the creamery's brand is approximately 0.0557 or 5.57%.

To calculate the probability that at most 60 out of 200 randomly selected residents will choose the creamery's brand, we can use a normal approximation.

Let's denote the number of residents who choose the creamery's brand as X. Since this is a binomial distribution problem, we can approximate it with a normal distribution using the mean (μ) and standard deviation (σ) of the binomial distribution.

The mean of a binomial distribution is given by μ = n * p, where n is the number of trials and p is the probability of success. In this case, n = 200 (number of residents surveyed) and p = 0.35 (market share of the creamery).

The standard deviation of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

Therefore, μ = 200 * 0.35 = 70 and σ = sqrt(200 * 0.35 * (1 - 0.35)) ≈ 6.24499.

Now, we need to calculate the probability of X being at most 60. This can be expressed as P(X ≤ 60).

To use the normal distribution, we need to standardize the value of 60 using the z-score formula: z = (X - μ) / σ.

For P(X ≤ 60), we calculate the z-score as z = (60 - 70) / 6.24499 ≈ -1.5989.

Now, we can use a standard normal distribution table or a calculator to find the probability associated with the z-score of -1.5989. This represents the probability of observing a value less than or equal to 60.

Using the table or calculator, the probability comes out to be approximately 0.0557.

Therefore, the probability that at most 60 of the 200 residents will choose the creamery's brand, according to the normal approximation, is approximately 0.0557 or 5.57%.

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The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is  2/13.

A deck contains a total of 52 cards.

Total outcomes if the selected number of cards is one=52

Case A:

Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.

Probability of an outcome is the ratio of desired outcomes to the total outcomes.

The probability of outcome to be 5, P(A):
P(A)=4/52

P(A)=1/13

Case B:

The total probability of outcomes=52/52=1

The probability of the outcome to be 5=1/13

Therefore, the probability of the outcome not to be 5, P(B):

P(B)=1-(1/13)

P(B)=12/13

Case C:

Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):

P(M)=4/52

P(M)=1/13

A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.

The probability of the outcome to be a diamond, P(N):

P(N)=13/52

P(N)=1/4

The probability that the outcome is a king of diamonds, P(M\(\cap\)N):

P(M\(\cap\)N)=1/52

Hence, the probability that the outcome is a diamond or a king, P(M\(\cup\)N):

P(M\(\cup\)N)=P(M)+P(N)-P(M\(\cap\)N)

P(M\(\cup\)N)=(1/13)+(1/4)-(1/52)

P(M\(\cup\)N)=16/52

P(M\(\cup\)N)=4/13

Case D:

Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):

P(P)=4/52

P(P)=1/13

Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):

P(Q)=4/52

P(Q)=1/13

The probability that the outcome is a jack and a queen, P(P\(\cap\)Q):

P(P\(\cap\)Q)=0/52

P(P\(\cap\)Q)=0

Hence, the probability that the outcome is a jack or a queen, P(P\(\cup\)Q):

P(P\(\cup\)Q)=P(P)+P(Q)-P(P\(\cap\)Q)

P(P\(\cup\)Q)=(1/13)+(1/13)-0

P(P\(\cup\)Q)=2/13

Case E:

A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.

Case F:

The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.

Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.

Therefore the desirable outcomes=8

The probability of the outcome required=8/52

=2/13

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To calculate the arc length of a circle, you need to use the formula: arc length = (central angle in radians) x (radius)

where the central angle is measured in radians and the radius is the distance from the center of the circle to the edge. To use this formula, first convert the central angle from degrees to radians by multiplying it by π/180. Then, multiply the result by the radius to find the arc length. For example, if you have a circle with a radius of 5 units and a central angle of 45 degrees, you can calculate the arc length as follows: Convert the central angle to radians: 45 x π/180 = 0.7854 radians. Multiply the central angle in radians by the radius: 0.7854 x 5 = 3.927 unit. Therefore, the arc length of a circle with a radius of 5 units and a central angle of 45 degrees is 3.927 units.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

The event A and B are independent events

We can use the formula:

P(A and B) = P(A) × P(B | A)

Conditional probability is the probability of an event occurring given that another event has already occurred.

If the conditional probability P(B|A) is equal to P(B), then A and B are independent. If P(B|A) is not equal to P(B), then A and B are dependent.

Let's use this formula to determine whether events A and B are dependent or independent:

P(A and B) = P(A) × P(B | A)

0.45 = 0.5 × P(B | A)

P(B | A) = 0.45 / 0.5 = 0.9

Since P(B|A) is equal to P(B), we can conclude that events A and B are independent.

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Researchers must use experiments to determine whether causal relationships exist between variables.

Experiments are an essential tool in research to investigate causal relationships between variables. While other research methods, such as correlational studies, can identify associations between variables, experiments provide a stronger basis for establishing cause-and-effect relationships. In an experiment, researchers manipulate an independent variable and observe the effects on a dependent variable while controlling for potential confounding factors. The use of experiments allows researchers to establish a level of control over the variables under investigation. By randomly assigning participants to different conditions and manipulating the independent variable, researchers can examine the effects on the dependent variable while minimizing the influence of extraneous factors. This control enables researchers to determine whether changes in the independent variable cause changes in the dependent variable, providing evidence of a causal relationship. Experiments also allow researchers to apply rigorous designs, such as double-blind procedures and randomization, which enhance the validity and reliability of the findings. Through systematic manipulation and careful measurement, experiments provide valuable insights into the nature of relationships between variables and help researchers draw more robust conclusions about cause and effect.

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Answer:

If 3 parts blue and 2 parts grey make 1 Liter of Paint, then 6 parts blue and 4p parts grey make 2 Liters of Paint

Step-by-step explanation:

Answer:

why post a question  if there isnt an answer

Step-by-step explanation:

Answer:

The vertical angles theorem

Step-by-step explanation:

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.

According to the data, the highway is 84 miles, the length of Valley Road is 60 miles, and the shortest mile is 24 miles less than the longest.

To calculate the length of the Highway route we must perform the following mathematical procedure:

To calculate the length of the Valley Road Route we must perform the following mathematical procedure:

To calculate the length that is saved by taking the shortest route we must carry out the following mathematical procedure:

Note: This question is incomplete due to missing information. Here is the missing information.

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Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

           \(= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}\)