Y=-x+4
Y=3x (substitution)

Answer:

it's answer is A x = 3

x³ = 27

x³ = 3³

x = 3

Hope it will help :)

Answer:

A. x = 3

Step-by-step explanation:

The question is;

\(x^{3} = 27\)

To solve it, one has to do;

\(x = \sqrt[3]{27}\)

(x equals the cube root of 27)

The cube root essentially asks, what number times itself three times equals the number under the radical.

3 times itself 3 times equals 27, hence the answer is 3.

Answer:

Addition Property of Equality, or A

Step-by-step explanation:

This is the definition of addition property of equality

Answer:

2.9 per second

Step-by-step explanation:

Answer: Whats your snap i think I'm simping :)

Step-by-step explanation:

Answer:

answers are in the picture

Answer:

shoqwwkalakidsb II oakqijq8ww mulero 288

Answer:

D

Step-by-step explanation:

\( \sin(60) = \frac{6 \sqrt{3} }{x} \\ x = \frac{6 \sqrt{3} }{ \sin(60) } = 12 \\ \cos(60) = \frac{y}{12} \\ y = 6\)

Answer: x = - 111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

                                             = 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

            5x + 65 = 600

                   5x = 600 - 65

                   5x = 535

                     x = 535/5

x = 107

Distance Mary walked = 107 m

Answer:

Step-by-step explanation:

Comment

n = the discriminant  of the quadratic equation. That is n = √(b^2 - 4ac)

a = 1

b = -3

c = 1

n = √(9 - 4(1*1)) = √5

Answer n = √5

The future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

To calculate the future value of $12,250 after 8 years with an annual interest rate of 4% compounded quarterly, we can use the formula for compound interest:

FV = PV * (1 + r/n)^(n*t)

Where:

FV is the future value

PV is the present value (initial amount)

r is the annual interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

Given:

PV = $12,250

r = 4% = 0.04 (as a decimal)

n = 4 (compounded quarterly)

t = 8 years

Plugging in these values into the formula, we get:

FV = $12,250 * (1 + 0.04/4)^(4*8)

= $12,250 * (1 + 0.01)^(32)

= $12,250 * (1.01)^(32)

Using a calculator, we can evaluate this expression to find the future value:

FV ≈ $12,250 * 1.349858807576003

FV ≈ $16,495.11

Therefore, the future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

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Answer:

Step-by-step explanation:

0.0154 as a percentage is 1.54%

:)

Answer: sense happens

Step-by-step explanation:

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

the answer is the first one.

Step-by-step explanation:

Actually this is a super Q.

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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At least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least\(1 - 1/k^2\).

In this case, we are interested in finding the fraction of numbers that must lie within 4 standard deviations from the mean. Therefore, k = 4.

Using the formula from Chebyshev's Theorem, we can calculate the fraction:

\(1 - 1/k^2 = 1 - 1/4^2 = 1 - 1/16 = 15/16.\)

Hence, at least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

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Question

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least 1 - 1/k2. Use this theorem to find the fraction of all the numbers of a data set that must lie within 4 standard deviations from the mean. At least of all numbers must lie within 4 standard deviations from the mean. (Type an integer or a fraction.)

The answer to the integral is (1/10) * x³ + (1/2) * x⁴ + C, where C is the constant of integration.

To evaluate the integral ∫(3x²/10 + 2x³) dx, we can apply the power rule of integration. The power rule states that the integral of x^n with respect to x is (1/(n+1)) * x^(n+1) + C, where C is the constant of integration.

Using the power rule, we integrate each term separately:

∫(3x²/10) dx = (3/10) * ∫(x²) dx = (3/10) * (1/3) * x³ + C₁ = x³/10 + C₁

∫(2x³) dx = (2/1) * ∫(x³) dx = (2/1) * (1/4) * x⁴ + C₂ = (1/2) * x⁴ + C₂

Combining the integrals, we get:

∫(3x²/10 + 2x³) dx = x³/10 + (1/2) * x⁴ + C

Simplifying this expression, we can rewrite it as:

(1/10) * x³ + (1/2) * x⁴ + C

Therefore, the answer is B) (10 + 2x³)^(5/4) + C, which corresponds to (1/10) * x³ + (1/2) * x⁴ + C when expanded.

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ANSWER:

STEP BY STEP EXPLANATION:

\(x( {x}^{2} + 18) = 0\)

\(x = 0\)

OR

\( {x}^{2} + 18 = 0\)

\( {x}^{2} = - 18\)

\(x = - \frac{1}{18} \)

The TRE score of 4532 is relatively better than the LSVT score of 35.

Calculate the z-score for the TRE score of 4532:

z_TRE = (4532 - 5277) / 324 ≈ -0.23

Subtract the mean TRE score (5277) from the individual score (4532), and divide it by the standard deviation of the TRE scores (324).

Calculate the z-score for the LSVT score of 35:

z_LSVT = (35 - 44.2) / 4 ≈ -2.30

Subtract the mean LSVT score (44.2) from the individual score (35), and divide it by the standard deviation of the LSVT scores (4).

Compare the z-scores:

The z-score tells us how many standard deviations a particular score is away from the mean. A higher z-score indicates a better relative score.

In this case, the z-score for the TRE score of 4532 is approximately -0.23, while the z-score for the LSVT score of 35 is approximately -2.30.

Determine the relatively better score:

Since the z-score for the TRE score (-0.23) is closer to zero compared to the z-score for the LSVT score (-2.30), the TRE score of 4532 is relatively better than the LSVT score of 35.

Therefore, based on the z-scores, the TRE score of 4532 is relatively better than the LSVT score of 35.

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The probability that the randomly selected racket is wood or defective is 16/25.

To find the probability that the racket is wood or defective, we can calculate the sum of the probabilities of these two events.

Let's denote the event "racket is wood" as W and the event "racket is defective" as D. We are looking for P(W or D).

The probability that the racket is wood can be calculated by dividing the number of wood rackets by the total number of rackets in the sample: P(W) = Number of wood rackets / Total number of rackets = 100 / (100 + 100) = 1/2.

The probability that the racket is defective can be calculated by dividing the number of defective rackets by the total number of rackets in the sample: P(D) = Number of defective rackets / Total number of rackets = (9 + 19) / (100 + 100) = 28/200 = 7/50.

Since we want to find the probability that the racket is wood or defective, we sum the probabilities: P(W or D) = P(W) + P(D) = 1/2 + 7/50 = 25/50 + 7/50 = 32/50 = 16/25.

Therefore, the probability that the randomly selected racket is wood or defective is 16/25.

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Answer:

£766

Step-by-step explanation:

£5362 ÷ 7

= £766

£766

£766

Answer:

£766

Step-by-step explanation:

5362 divide by 7 and you got equal 766

The dot plot represents the number of pets owned by the students. The options provided will be explained in the following paragraph.

A dot plot is a simple graphical representation of data that uses dots to represent individual values. Each dot corresponds to a student's response indicating the number of pets they own. The dot plot for the given data would look as follows:

0: XXX

1: XXXX

2: XXX

4: XX

8: X

In this dot plot, each "X" represents one student's response. The numbers on the left side of the plot represent the number of pets, and the dots are placed above the corresponding number. The dot plot clearly shows the distribution of pet ownership among the students.

Now, let's examine the answer choices to find the one that matches the dot plot we drew. Since the dot plot shows the frequencies of different responses, we need to look for an answer choice that represents the same frequencies.

Among the answer choices, the option that matches the dot plot is: "2 students own 4 pets, and 4 students own 1 pet." This option correctly reflects the data presented in the dot plot, where we can see 2 dots above the number 4 and 4 dots above the number 1, indicating the corresponding frequencies.

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When calculating a confidence interval, the level of confidence chosen determines the range of values within which the true population parameter is expected to fall.

A 95% confidence interval means that if we repeatedly sample from the population and construct confidence intervals, 95% of those intervals will contain the true population parameter.

On the other hand, a 99% confidence interval means that if we repeatedly sample from the population and construct confidence intervals, 99% of those intervals will contain the true population parameter.

The margin of error, which is the amount by which the interval may vary due to sampling error, is directly affected by the level of confidence chosen.

As the level of confidence increases, the margin of error also increases. Therefore, when a 99% confidence interval is calculated instead of a 95% confidence interval with n being the same, the margin of error will be wider.

This means that the range of values within which the true population parameter is expected to fall will be larger with a 99% confidence interval, making the interval less precise but more conservative.

It is important to note that choosing a higher level of confidence comes at the cost of a wider margin of error, which may not always be practical or necessary depending on the research question and context.

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The equation to solve for your normal hourly rate is x = (612.5 - 1.5 * 46 + 46 * x) / 40.

In this equation, x represents your normal hourly rate. The first term in the parentheses, 612.5, is your total earnings for the week. The second term, 1.5 * 46, represents the overtime pay you received for working 6 hours over 40 hours. The third term, 46 * x, represents the amount you earned for your 40 hours of regular pay. The final term, 40, represents the number of hours you worked at your regular rate. By dividing both sides of the equation by 40, we can isolate x and solve for your normal hourly rate.

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Complete Question:

You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. you worked 46 hours this week and earned $612.50. part a: which equation can you use to solve for x , your normal hourly rate?

Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The Luck Dragons that livein the Enchanted Forest weigh 4xpounds when they are x years old.

1.Function Rules

The result of the function 4 - x for the input 2 is 2

2.Writing Equations and Inequalities:

The convention attracted more than 2,500 attendees.

x > 250

3.Graphing Inequalities

She only received $64. x 64 GRAPH in wages.

4.Solving Inequalities

3v < 21

v < 7

Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The function table definition is a visual, gridded table with cells for input and cells for output that are organized into rows and columns

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Answer:

Other root is 9 and p = 7.

Step-by-step explanation:

x^(2) - (3p-4)x + 11p-5 = 0 ,   x = 8.

Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:

8* A = 11p - 5

8 + A = -(-(3p - 4))

8 + A = -(-3p + 4)

8 + A = 3p - 4

A = 3p - 12.

Multiply this last equation by 8:

8A = 24p - 96

Now subtract the first equation from this:

8A - 8A =  24p - 11p - 96- (-5)

0 = 13p - 91

13p - 91 = 0

p = 91/13 = 7

and A = 3(7) - 12

= 9.

Answer:

Other root 9, p is 7

Step-by-step explanation:

The length of each piece of wood will be 28 inches if divided into 25%.

To divide the wood into 4 equal pieces, we will divide the total quantity by 4. Thus, the fraction that we will get is 1/4th of total. Now, as per the known fact, 1/4 is 25%, which will be our required answer based on the criteria mentioned in question.

Length of wood after division = 112/4

Performing division on Right Hand Side of the equation

Length of wood after division = 28 inches

Hence, the four parts will be of 28 inches.

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The hypothesis test to be used to test the relationship between x and y at 5% significance level. Slope indicates price-demand relationship.

To test the connection between the quantity of blaze drives sold each day (x) and their costs (y), we can direct a speculation test. The invalid speculation is that there is no critical connection between the two factors, while the elective theory is that there is a huge connection between them.

Expecting a direct relationship, we can play out a basic straight relapse examination to gauge the slant of the line, which addresses the adjustment of the quantity of blaze drives sold each day for each unit change in cost. A positive slant shows that the higher the value, the more blaze drives sold each day, while a negative slant demonstrates the inverse.

To decide if the slant is fundamentally unique in relation to nothing, we can compute the t-measurement and contrast it with the basic t-esteem at the 5% degree of importance. Assuming that the t-measurement is more noteworthy than the basic t-esteem, we can dismiss the invalid speculation and infer that there is a huge connection between the two factors.

As far as deciphering the slant of the line, a positive slant proposes that the interest for streak drives increments as their cost increments, which suggests that clients will pay something else for streak drives when they see a higher worth or quality. In any case, it is essential to take note of that the connection among cost and request may not be straight or might be impacted by different elements, for example, rivalry, market patterns, and shopper inclinations.

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Answer: 203.8 percent

Step-by-step explanation:

Answer:

45

Step-by-step explanation: