Solve the equation for x:
|5x - 61 = -10

Answer:

  A.  f(0) = 4

  B.  f(6) = 8

Step-by-step explanation:

When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.

x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.

  f(0) = 0 +4 = 4

__

x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.

  f(6) = 8

Answer:

4

Step-by-step explanation:

-3(4x +3)+4(6x +1)=43

-12x-9 +24x +4 =43

12x - 5=43

12x=43 +5

12x=48

x=48 :12

x=4

Answer:

61 is the mean and the range is 19

Step-by-step explanation:

trust

Mean = \(60.1\) and Range = \(19\)  for the given set of data.

"Mean is the average set of all the given values."

"Range is the difference between highest and the lowest value."

Formula

Mean = \(\frac{Sum of all the observations}{Total number of observations}\)

Therefore, Mean = \(\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}\)

                            = \(\frac{601}{10}\)

                            = \(60.1\)

Range = Max (x) - Min (x)

            =  \(68 - 49\)

            = \(19\)

Hence, the Mean = \(60.1\) and Range = \(19\) for the given data set.

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Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x = 5 x = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I got $0.42

Step-by-step explanation:

The equivalent expression is (2/5)¹⁴. Option A

Index forms are defined as mathematical models of writing numbers too large or small in more convenient forms.

Then rules of indices states;

From the information given, we have that;

\(({ (\frac{2}{5} )^4 (\frac{2}{5} )^3)^2\)

Add the exponents

((2/5)⁷)²

Multiply the exponents

(2/5)¹⁴

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Answer:

Hi, there the answer to your question is 248 if this helped send thanks. Have a  great day!

Step-by-step explanation:

Conclusions and recommendations are significant aspects of a research study that are typically drawn from the findings and literature review.

Conclusions and recommendations are significant components of a research study.

The findings and literature review serve as critical sources in developing conclusions and recommendations.

Let's examine the process of drawing conclusions and recommendations in a research study.

Relating conclusions to the findingsThe conclusion is a final interpretation of the study's results based on the findings.

The findings section should demonstrate the variables under analysis, whether hypotheses were accepted or rejected, and any significant results obtained.

It should emphasize the implications of the findings in light of the study's original purpose or research questions.

A well-written conclusion should also provide any explanations for findings that weren't anticipated and why they are crucial.

A summary of the key points and a brief discussion of how the study contributes to the knowledge base and the research field are two other components of an effective conclusion.

Relating recommendations to the literature reviewRecommendations are the actions that researchers suggest based on the study's findings.

The researcher should tie the recommendation to the literature review in the study's final section.

The review of related literature provides the context for the study and the literature gaps that the study aims to address.

A well-written recommendation should make explicit the specific actions that stakeholders should take to apply the study's findings.

The researcher must also describe the potential benefits of implementing the recommendations and the rationale for the recommended actions.

To summarize, conclusions and recommendations are significant aspects of a research study that are typically drawn from the findings and literature review.

The researcher should provide a comprehensive summary of the study's outcomes and implications in the conclusion section.

Recommendations should be closely related to the literature review and describe the appropriate actions that stakeholders should take to apply the findings of the study.

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The condition that is not met is that the sample size must be large enough to assume that the sample proportions are normally distributed.

Number is a mathematical object used to count, measure, and label. It is one of the fundamental building blocks of mathematics and is essential for any kind of calculation or measurement. Number is an abstract concept that is used in many different ways, from counting objects to expressing complex mathematical systems. Numbers can be used to represent anything from a single item to the entire universe. Numbers are also used to represent abstract ideas such as time, money, and probability.

With a sample size of only 25, it is not possible to assume that the sample proportions follow a normal distribution. As such, calculating a confidence interval for the population proportion of bags with too much salt is not possible.

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Complete questions as follows-
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion of bags with too much salt is not met?

Answer:

You cannot list every single multiple of 15, but some of them are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, and 195.

Step-by-step explanation:

Given the fraction

The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The negative reciprocal takes the negative of that number. Therefore:

Answer:

Answer:

Option B: 26cm is the radius of smaller circle.

Step-by-step explanation:

Given that:

Ratio of circumferences of two circles = 2:3

We know that circumference of circle is given by 2πr.

Radius of larger circle = \(r_{2}\) = 39 cm

Radius of smaller circle = \(r_{1}\)

Now,

\(\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}\)

Putting radius of larger circle

\(\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26\)

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.

Answer:

6(x-2)

Step-by-step explanation:

because x and 2 are taken as common by us

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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the expression "tangent (a)" represents the tangent of an angle "a" measured in radians. Without knowing the value of "a", we cannot determine the value of "tangent (a)" or the correct answer among the given options.

How to solve the question?

The tangent function is a mathematical function that relates the angle of a right triangle to the ratio of the length of its opposite side to the length of its adjacent side. The notation for the tangent function is "tan".

The expression "tan(a)" or "tangent (a)" represents the tangent of the angle "a" measured in radians. The value of tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side, where the angle is formed by the hypotenuse and adjacent side of a right-angled triangle.

So, "tan(a)" is given by the formula:

tan(a) = opposite/adjacent

Now, in the given expression "tangent (a)", the value of "a" is not specified. Therefore, we cannot determine the exact value of "tangent (a)" without knowing the value of "a".

In the answer options provided, all the options are in the form of "start fraction x over y end fraction". These are known as fractional expressions or fractions. The numerator "x" represents the top part of the fraction, while the denominator "y" represents the bottom part of the fraction.

To find the value of "tangent (a)", we need to know the value of "a". Without knowing the value of "a", we cannot determine which of the given options is the correct answer.

In summary, the expression "tangent (a)" represents the tangent of an angle "a" measured in radians. Without knowing the value of "a", we cannot determine the value of "tangent (a)" or the correct answer among the given options.

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The given question is to find the triple integral x dV by converting it into cylindrical coordinates, and it is given that E is the solid enclosed by the planes z=0 and z=x and the cylinder x²+y²=81.

Let's solve this problem using the below steps. To convert the integral into cylindrical coordinates, we need to know the relationship between the Cartesian coordinates and the cylindrical coordinates, which are shown below: x=rcosθy=rsinθz=z In cylindrical coordinates, the volume element is given by dV=r dz dr dθ Hence, xdV can be written as xr dz dr dθ The given limits are x²+y²=81 and z=x and z=0. In cylindrical coordinates, x²+y²=r²and hence, the equation x²+y²=81 can be written as r²=81. Also, z=x can be written as z=rcosθ.Now, the triple integral in cylindrical coordinates can be written as:

∫[0,2π] ∫[0,9] ∫[r cosθ, r] xr dz dr dθ = ∫[0,2π] ∫[0,9] [1/2 xr²] cosθ dr dθ = ∫[0,2π] ∫[0,9] [1/2 (81r)] cosθ dr dθ = (81/2) ∫[0,2π] ∫[0,9] r cosθ dr dθ

On integrating with respect to r, we get ∫[0,9] r cosθ dr = 0 Therefore, the triple integral is zero, i.e., the answer to the question is 0. Hence the answer is 0. Given triple integral is ∫∫∫E x dV, where E is the solid enclosed by the planes z = 0 and z = x and the cylinder x²+y² = 81. We have to find the value of triple integral x dV by converting it into cylindrical coordinates.In cylindrical coordinates, x = r cos θ, y = r sin θ and z = z.Limits of integration in Cartesian coordinates are as follows: 0 ≤ z ≤ x, x²+y² ≤ 81. Converting these limits into cylindrical coordinates, we get 0 ≤ z ≤ r cos θ, 0 ≤ r ≤ 9 and 0 ≤ θ ≤ 2π.Volume element in cylindrical coordinates is given by dV = r dz dr dθ.xdV = xr dz dr dθWe can express x²+y² = 81 in cylindrical coordinates as r² = 81.Using this, the triple integral x dV in cylindrical coordinates becomes∫[0,2π] ∫[0,9] ∫[r cosθ, r] xr dz dr dθ= ∫[0,2π] ∫[0,9] [1/2 xr²] cosθ dr dθ= ∫[0,2π] ∫[0,9] [1/2 (81r)] cosθ dr dθ= (81/2) ∫[0,2π] ∫[0,9] r cosθ dr dθIntegrating w.r.t r, we get ∫[0,9] r cosθ dr = 0Therefore, the value of the triple integral x dV in cylindrical coordinates is zero. Thus, the answer to the question is 0.

Hence the solution to the given problem, the triple integral x dV by converting it into cylindrical coordinates, is 0.

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Answer:

3. (7, 15)

4. (7, 15) means that Carter is 7 blocks right and 15 blocks up from the origin.

5. (6, 7)

6. (9, 5)

Step-by-step explanation:

3. school is at point (3, 13)

If Carter travels 4 blocks right and 2 blocks up then add 4 to the x-coordinate and 2 to the y-coordinate of the school:

(3 + 4, 13 + 2) = (7, 15)

4.  (7, 15) means that Carter is 7 blocks right and 15 blocks up from the origin.

5. To calculate his starting position reverse his journey, so travel 3 blocks right and 8 blocks down from the baseball diamond

baseball diamond = (3, 15)

So (3 + 3, 15 - 8) = (6, 7)

6. Burger joint = (14, 15)

To calculate his starting position reverse his journey, so travel 5 blocks left and 10 blocks down from burger joint

So (14 - 5, 15 - 10) = (9, 5)

**if you are traveling right, you are adding to the x-coordinate

**if you are traveling left, you are subtracting from the x-coordinate

**if you are traveling up, you are adding to the y-coordinate

**if you are traveling down, you are subtracting from the y-coordinate

Answer:

2,5x -c

Step-by-step explanation:

idik

Answer:

D: 4(2a+3)=8a+3

Step-by-step explanation:

4x2a = 8a and 4x3 = 12

Answer:

just saying this so other can get brainliest

Step-by-step explanation:

d

The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

population mean assumed to be 2925

sample mean = 2515

standard deviation of sample = 585.

sample size = 15

t-score is indicated because the standard deviation is taken from the sample rather than from the population.

t-score = (x - m) / s

x is the raw score

m is the raw mean of the population

s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.

degrees of freedom = 15 minus 1 = 14.

t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.

you need to know the confidence level.

at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.

since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

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Answer:

Step-by-step explanation:

(x+7)/2=6

x + 7 = 12

x = 5

(y + 10)/2 = 5

y + 10 = 10

y = 0

(5, 0)

answer is B

Answer:

whatever they said :D

Step-by-step explanation:

For this equation, the bottom part of the equation cannot be zero, so the domain at the moment is:

    \(x > 4\)

However, also on top, the numerator includes a square root which can equal zero but cannot be negative, thus the domain is

 (6, ∞)

Hope that helps!

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

Answer:

39/4 or 9 and 3/4

Step-by-step explanation:

multiply the numerator by 3 over 1

Answer:

14 lives in total

Step-by-step explanation:

7*7=14

Answer:

63 lives

Step-by-step explanation:

You had 7 players, and two more joined.  Add these together for the total amount of players.

7 + 2 = 9

Now multiply the number of players by the number of lives they each have.

9 × 7 = 63

There are 63 total lives.

After 5 days, there will be $35 in the piggy bank.

To model the amount of money in the piggy bank after a certain number of days, we can use the slope-intercept form of an equation, which is given by:

y = mx + b

Where:

y is the amount of money in the piggy bank (in dollars)

x is the number of days

m is the slope, which represents the change in y for each unit change in x

b is the y-intercept, which represents the initial amount of money in the piggy bank

In this case, the initial amount of money is $20, and $3 is added to it every day, so the slope (m) is 3. The y-intercept (b) is 20.

Therefore, the equation that models the amount of money in the piggy bank is:

y = 3x + 20

To find out how much money is in the piggy bank after 5 days, we substitute x = 5 into the equation:

y = 3(5) + 20

y = 15 + 20

y = 35

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If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.