Find the value of each variable. Round to the nearest tenth. How does the measure of angle x compare to the measure of angle z? Justify.

Answer:

B

Step-by-step explanation:

Based on the amount that Sam saves and his living expenses, the amount he needs to save and the length of time it will take him to do so is B. 5,136; Approximately 24 months.

= Fixed essential expenses + Variable essential expenses

= 1,292 + 420

= $1,712

Sam needs to save three times his expenses:

= 1,712 x 3

= $5,136

= Amount to be saved / Amount saved monthly

= 5,136 / 210

= 24 months approximately.

________________________________________________________

The question is:

Using his essential expenses as a guideline, how much will Sammy need to save if he wants to have 3 times the amount of his living expenses in the bank as part of his emergency savings. How long will it take him to achieve his goal?

a. $1,712; approximately 8 months

b. $5,136; approximately 24 months

c. $6,486; approximately 30 months

d. $2,162; approximately 6 months

________________________________________________________

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The equation of the line with Slope = −7 and passing through (7,−54) is y = -7x - 5

The equation of a line in pint slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope = -7

(x1, y1) = (7, -54 ) is the point on the line

Substitute

y + 54 = -7(x -7)

Write in slope intercept form

y + 54 = -7(x -7)

y + 54 = -7x + 49
y = -7x - 5

Hence the equation of the line with Slope = −7 and passing through (7,−54) is y = -7x - 5

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Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

To determine the number of extraneous solutions in the given equation, let's simplify it step by step:

Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).

Step 2: Apply the common denominator to both fractions:

[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1

Step 3: Simplify the numerators:

\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)

[-12m]/[(2m + 3)(2m - 3)] = 1

Step 4: Cancel out common factors:

-12m = (2m + 3)(2m - 3)

\(-12m = 4m^2 - 9\)

Step 5: Rearrange the equation:

\(4m^2 + 12m - 9 = 0\)

Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

\(m = (-b ± √(b^2 - 4ac))/(2a)\)

For our equation, a = 4, b = 12, and c = -9. Substituting these values:

m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))

m = (-12 ± √(144 + 144))/(8)

m = (-12 ± √288)/8

m = (-12 ± 12√2)/8

Simplifying further:

m = (-3 ± 3√2)/2

So, we have two potential solutions for m:

m = (-3 + 3√2)/2  and  m = (-3 - 3√2)/2

Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:

For m = (-3 + 3√2)/2:

[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1

Simplifying this equation, we find that it holds true.

For m = (-3 - 3√2)/2:

[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1

Simplifying this equation, we also find that it holds true.

Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

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The flux of the vector-field F = 1i + 1j + 3k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x + 1y + z = 2.

and given F = 1i + 1j + 2k

div G = div(2x + 1y + z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 3k) (2x + 1y + z) dA

φ = ∫ (2 + 4 + 2 ) dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

Green's theorem has numerous applications. One method is to solve two-dimensional flow integrals, which state that the sum of fluid outflows from a volume equals the total outflow summed around an enclosing area.

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

7x(-4+5y)

Step-by-step explanation:

Answer:

D: 7y(-4x + 5)

Step-by-step explanation:

Edge 2021

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

Option B

Mark BRAINLIEST if you are satisfied with the answer.

Answer:

C

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \(\frac{285}{360}\)

    = 2π × 18 × \(\frac{19}{24}\)

    = 36π × \(\frac{19}{24}\) ( cancel 36 and 24 by 12 )

    = 3π × \(\frac{19}{2}\)

    = \(\frac{57\pi }{2}\) → C

Answer: (-13, -3), (-1, 0), and (7, 2).

Step-by-step explanation:

First, we have a function f(x) and we know that 3 points (x, y) of this function are:

(-3, -13), (0, -1), and (2, 7).

Now, if we have a function g(x) and we know that g(x) is the inverse of f(x), we have that:

g(f(x)) = x.

this means that if f(x) = y then g(y) = x.

then if (-3, -13) is a point in the f(x) graph, (-13, -3) must be a point in the g(x) graph.

Then 3 points in on the inverse of the function f(x) are:

(-13, -3), (-1, 0), and (7, 2).

Answer:

12

Step-by-step explanation:

12

Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

The given fraction can be rewritten as the sum of three smaller fractions. The first small fraction has a numerator of "8x² + 115" and a denominator of "3(x² - 10)". The second small fraction has a numerator of "3x^2 + 39" and a denominator of "3x(x² - 10)". The third small fraction has a numerator of "200" and a denominator of "3x(x² - 10)".

The given fraction can be rewritten as the sum of three smaller fractions.

The first small fraction is made up of a numerator that consists of the expression,

= 8x² + 115

divided by a denominator that consists of the expression,

= 3(x² - 10)

The second small fraction has a numerator of

= 3x² + 39

and a denominator of "3x(x² - 10)".

The third small fraction has a numerator of "200" and a denominator of = 3x(x² - 10)

When these three small fractions are added together, they equal the original fraction.

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The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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False. Cultural traits that are diffused from one group are not always changed or adopted over time by the people in the receiving culture.

This is because different cultures have their own unique values, beliefs, and practices that may not align with the diffused cultural trait. Additionally, some cultural traits may be seen as a threat to the receiving culture and therefore not adopted.
Moreover, not all diffused elements of culture are successfully integrated into other cultures. Some may be rejected outright, while others may only be partially integrated or adapted to fit the receiving culture. It's important to note that cultural diffusion is a complex and ongoing process that involves a multitude of factors, including social, economic, and political influences, as well as individual attitudes and beliefs.

Therefore, the success of cultural diffusion and integration can vary greatly from one context to another.

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(A) Total number of points served by Samson and multiply by 100  (B) Null hypothesis(H0) and Alternative hypothesis (Ha) (C)  there would be a 24% chance of observing a difference in performance as extreme as the one observed in the data.

(D) Based on the p-value of 0.24, we do not have strong evidence to reject the null hypothesis. (E) it would be a Type II error. (F) Type II error would mean that we concluded there is no difference in Samson's performance when serving and when his opponent is serving, but in reality, there is a difference. (G) To reduce the likelihood of a Type II error occurring, we can increase the sample size (H)  No, we cannot conclude that Samson's serving is the cause of the difference in his ability to win points when serving compared to when his opponent is serving

a) The difference in the percentage of points won when serving and when the opponent is serving can be calculated by subtracting the percentage of points won when the opponent is serving from the percentage of points won when serving.  To find the percentage of points won when serving, we divide the number of points won when serving by the total number of points served by Samson and multiply by 100. Similarly, to find the percentage of points won when the opponent is serving, we divide the number of points won when the opponent is serving by the total number of points served by the opponent and multiply by 100.

b) The hypotheses we are interested in testing are:
- Null hypothesis (H0): There is no difference in Samson's performance when serving and when his opponent is serving.
- Alternative hypothesis (Ha): Samson performs better when serving compared to when his opponent is serving.

c) A p-value of 0.24 indicates that if the null hypothesis were true, there would be a 24% chance of observing a difference in performance as extreme as the one observed in the data. In other words, the p-value represents the probability of obtaining the observed difference in performance or a more extreme difference, assuming that there is no actual difference in Samson's performance when serving.

d) Based on the p-value of 0.24, we do not have strong evidence to reject the null hypothesis. This means that the data does not provide convincing evidence that Samson plays better when serving compared to when his opponent is serving.

e) If our conclusion from part d was in error, it would be a Type II error. This occurs when we fail to reject the null hypothesis even though it is false. In this case, it would mean that there is a difference in Samson's performance when serving, but we failed to detect it.

f) In the context of this question, a Type II error would mean that we concluded there is no difference in Samson's performance when serving and when his opponent is serving, but in reality, there is a difference. This could potentially lead to underestimating Samson's ability to perform better when serving.

g) To reduce the likelihood of a Type II error occurring, we can increase the sample size. By collecting more data, we can increase the power of our test and improve our ability to detect a difference in performance if it truly exists. Additionally, we can also adjust the significance level of our test (e.g., from 0.05 to 0.01) to make it more likely to detect smaller differences.

h) No, we cannot conclude that Samson's serving is the cause of the difference in his ability to win points when serving compared to when his opponent is serving. The data provided only shows an association between serving and winning points, but it does not establish a causal relationship. Other factors, such as skill, strategy, or the opponent's performance, could also contribute to the difference observed. To establish causality, further investigation and controlled experiments would be needed.

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Answer:

3x²

Step-by-step explanation:

In this question, you will plug in the expressions into the question and solve.

We know what f(x) and g(x) is, so plug in it and solve:

-x - (-3x² - x)

Distribute the negative to the variables inside the parenthesis.

-x + 3x² + x

Combine like terms.

3x²

Since this is what we're left with (we can't simplify further), 3x² would be your final answer.

Answer:

Step-by-step explanation:

Angle LPR and Angle PLN are supplementary to one another

9x+26+5x=180

Combine like terms

14x+26=180

Subtract 26 from both sides

14x=154

Divide 14 on both sides

x=11

Hope it helped :))

When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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Answer:

• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times

Step-by-step explanation:

\( = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5\)

Answer:

4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.

5) B) 18

6) 18

7) B) 20

8) B) 28

Step-by-step explanation:

4)

36 - 3 + 5 · 2

36 - 3 + 10

43

5)

3(7) - 3 = 18

6)

3(2) + 2(4) + 4 =

6 + 8 + 4 =

18

7)

24 ÷ 3 + 12 = 8 + 12 = 20

8)

5(6) - 2 = 30 - 2 = 28

Answer:

like this do 4x9 4x1 then move down and add a zero then do 1x9 1x1 and then add 76 +190 and get 266 all in your head.

Step-by-step explanation:

 19

x 14

_______

   76

+ 190

______

266

Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>

z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60

Answer:

\(x=2\)

Step-by-step explanation:

\(Area=1/2 *x*4\)

→ \(4=2x\)

→ \(x=4/2\)

→ \(x=2 units\)

\(---------\)

hope it helps...

have a great day!!

Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.

In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).

The equation for the beta decay of La-144 into Ce-144 is as follows:

La-144 → Ce-144 + β¯

In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.

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In an isosceles triangle, two of the angles are congruent, which means they have the same measure. Let x be the measure of each of the congruent angles. Then, we can use the fact that the sum of the angles in a triangle is 180 degrees to set up an equation:

x + x + 26 = 180

Simplifying and solving for x, we get:

2x + 26 = 180

2x = 154

x = 77

So each of the congruent angles in the triangle measures 77 degrees. Therefore, the other two possible angle measures are 77 degrees and 26 degrees.

Brainliest this answer if it helped!

Answer:

Step-by-step explanation:

area = xy = 30 in²

y = 30/x

Answer:

30/x

Step-by-step explanation:

rsm

Answer:

356.82

Step-by-step explanation: