Three times the sun of a number and 10 is 24

Answer:

27

thanks for the points

Answer:

1/12

Step-by-step explanation:

Answer: 1.5 liters

Step-by-step explanation:

3.80 divided by 4= 0.95     0.95 x 3= 2.85

2.85 is more than 2.70

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Answer: Seven trillion i think

Step-by-step explanation:

It depends on the test results. If the p-value obtained from the test is less than the level of significance (0.05), the engineer can reject the null hypothesis and conclude that the mean force is not equal to 650.

If the p-value is greater than 0.05, the engineer cannot reject the null hypothesis and cannot conclude that the mean force is different from 650.

In hypothesis testing, the null hypothesis is a statement about a population parameter that is assumed to be true until proven otherwise. In this case, the null hypothesis is that the mean force is equal to 650. The alternative hypothesis is that the mean force is not equal to 650.

The p-value is the probability of obtaining a test statistic as extreme as or more extreme than the observed one, assuming that the null hypothesis is true. It measures the strength of the evidence against the null hypothesis. If the p-value is less than the level of significance (0.05 in this case), it means that the observed result is unlikely to occur by chance alone, and the null hypothesis can be rejected in favor of the alternative hypothesis.

Therefore, if the p-value obtained from the test is less than 0.05, the engineer can conclude that there is strong evidence to suggest that the mean force is not equal to 650, and they can reject the null hypothesis. On the other hand, if the p-value is greater than 0.05, there is insufficient evidence to reject the null hypothesis, and the engineer cannot conclude that the mean force is different from 650.

It's important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true; it simply means that there is evidence against the null hypothesis. Similarly, failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true; it just means that there is insufficient evidence to reject it.

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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

D) $0 Per Month.

Step-by-step explanation:

In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.

Hope this helps!

The sample proportion is option(d) i.e, 0.32

What is Proportion?

A proportion is an equation in which two ratios are set equal to each other.

Given,

Number of successful outcomes  = 16

Total number of outcomes = 50

The sample proportion =

Number of successful outcomes / Total number of outcomes

Sample proportion = 16 / 50

                               = 0.32

Hence, the sample proportion is option(d) i.e, 0.32

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Three investors own a company. The third partner own 7/20 of the company.

There are three investors in a company.

One partner owns One-fourth of the company.

i.e., 1st partner = 1/4

the second partner owns Two-fifths of the company

i.e., 2nd partner = 2/5

To find the 3rd partner's part in company

let, third partner own x part

then we can calculate :

x = 1 - 1/4 - 2/5

x = {20 - 5 - (4x2)} / 20

x = ( 20 - 5 - 8)/20

x = (20 - 13)/20

x = 7/20

the third partner own 7/20.

Three investors own a company. The third partner own 7/20 of the company.

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Answer:

Size, angle measures, position of center of rotation, shape.

Answer:

Size, angle measures, position of center of rotation, shape.

Step-by-step explanation:

Using the nth-term test for divergence on the series ∑ 1/n+13 is inconclusive. However, by comparing the series to the divergent harmonic series, we can conclude that ∑ 1/n+13 is also divergent.

We can use the nth-term test for divergence to determine the convergence or divergence of the series

lim n → ∞ (1/n+13) = 0

Since the limit of the nth term is 0, the nth-term test is inconclusive, and we cannot determine the convergence or divergence of the series using this test.

However, we can use the comparison test to show that the series diverges. We can compare the given series to the harmonic series, which we know diverges

1/1 + 1/2 + 1/3 + ...

Since each term of the given series is less than the corresponding term of the harmonic series, the given series must also diverge. Therefore, the series ∑ 1/n+13 is divergent.

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Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

10.5

Step-by-step explanation:

\( KET\cong KIT...... (given) \)

\( \therefore KE \cong KI.... (csct) \)

\( \therefore m(KE) =m(KI)\)

\( \therefore 10x-34= 4x + 29\)

\( \therefore 10x-4x= 34 + 29\)

\( \therefore 6x= 63\)

\( \therefore x=\frac{63}{6}\)

\( \therefore x=10.5\)

Answer:

2.8 miles

Step-by-step explanation:

From the attached sketch of the solution diagram, let x = distance of plane from runway :

The sketch gives a right angled triangle ; hence, we can apply trigonometry :

To obtain x :

Sin θ = opposite / hypotenus

Sin 5 = 1266 / x

0.0871557 * x = 1266

x = 1266 / 0.0871557

x = 14525.720 feets

Converting feets to mile :

1 mile = 5280 feets

14525.720 feets = 14525.720 / 5280

2.751 miles

To the nearest tenth of a mile ; 2.8 miles

The measure of the third angle of the isosceles triangle is θ = 154°

Given data ,

In an isosceles triangle, two sides are of equal length, and thus two base angles are also of equal measure.

Given that the two base angles of the isosceles triangle are both 13 degrees, we can denote one of the base angles as 13 degrees, and the other base angle as 13 degrees as well.

Let's denote the measure of the third angle as "x" degrees

The sum of angles in any triangle is always 180 degrees.

So , 13 + 13 + x = 180

Simplifying the equation:

26 + x = 180

Subtracting 26 from both sides of the equation:

x = 180 - 26

x = 154°

Hence , the measure of the third angle in the isosceles triangle is 154°

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The area of the region R bounded by the curves is 0.159.

To find the area of the region R bounded by the curves f(x) = xe^(-x^2) and g(x) = (x - 1)^2, we need to compute the definite integral of their difference between their points of intersection.

The curves intersect when xe^(-x^2) = (x - 1)^2. We can solve this equation numerically to find that the two curves intersect at x ≈ 0.7549 and x ≈ 1.8794. Therefore, the area of region R is given by the integral:

∫(0.7549 to 1.8794) [(x - 1)^2 - xe^(-x^2)] dx

We can use technology such as a graphing calculator or software like Mathematica to evaluate the integral numerically, which gives the area of the region R ≈ 0.159. Rounded to 3 decimal places, the area of the region is 0.159.

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Answer:

6

Step-by-step explanation:

11x13=143

5x13 = 65

143 - 65 = 78

78/13= 6

Answer:

2) 4

Step-by-step explanation:

because 4 x 4= 16

\(\sqrt{16} = 4\)

The measure of angle A is (3x + 75)/2 degrees.

Since AC = BC and ABCD is an isosceles trapezoid, we know that AB = CD. We can also see that angles B and C are adjacent angles on the same line, so their sum is 180 degrees:

B + C = 60 + (3x + 15) = 3x + 75

Since ABCD is an isosceles trapezoid, we know that angles A and D are congruent, and their sum is also 180 degrees:

A + D = 180

Since angles B and C are supplementary, and angles A and D are congruent, we can set up the following equation:

B + C = A + D

Substituting in the values we have:3x + 75 = A + A = 2A

Simplifying the equation:

2A = 3x + 75

A = (3x + 75)/2

Therefore, the measure of angle A is (3x + 75)/2 degrees.

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The required coordinates of the pre image are C'(-5, -5), D' (7, 1), E' (3, 3) and F' (1, 7)

Rotation is a way of changing the position of an object on an xy plane.

When a coordinate point (x, y )is rotated 270 degrees counterclockwise, the resulting coordinate point will be (y,-x)

The x-coordinate is negated and then swapped.

Given the coordinates of a Rhombus CDEF with vertices C(-5, 5), D(-1,7), E(-3, 3), and F(-7, 1), the resulting coordinate points will be;

C(-5, 5) = C'(-5, -5)

D(-1,7) = D' (7, 1)

E(-3, 3) = E' (3, 3) and

F(-7, 1) = F' (1, 7)

Hence the required coordinates of the pre image are C'(-5, -5), D' (7, 1), E' (3, 3) and F' (1, 7)

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Answer:

its A. 48.125

Step-by-step explanation:

it just is

Answer:

a

Step-by-step explanation:

Answer:

The linear equation is, y = 6.9286 + 0.9214

Step-by-step explanation:

According to the question the width of the path is x = 3 meters.

Let's assume the width of the path is x meters. We can calculate the total area of the plot and the path by adding the area of the rectangular plot and the areas of the two rectangular paths on the side and end.

The area of the rectangular plot is given by length multiplied by width, which is 12m * 5m = 60m^2.

The area of the path along the side can be calculated by subtracting the inner rectangle's area from the outer rectangle's area. The length of the outer rectangle is still 12m, but the width increases by 2x (x on each side) to become 12m + 2x. The area of the inner rectangle is 12m * x, so the area of the path along the side is (12m + 2x) * x.

Similarly, the area of the path along the end is calculated by subtracting the inner rectangle's area from the outer rectangle's area. The length of the outer rectangle is still 5m, but the width increases by x to become 5m + x. The area of the inner rectangle is 5m * x, so the area of the path along the end is (5m + x) * x.

Adding all three areas together, we get the equation:

60m^2 + (12m + 2x) * x + (5m + x) * x = 120m^2

Now we can solve this quadratic equation for x:

60 + 12x + 2x^2 + 5x + x^2 = 120

3x^2 + 17x - 60 = 0

Using factoring or the quadratic formula, we find that x = 3 or x = -6. Since the width cannot be negative, we discard x = -6.

Therefore, the width of the path is x = 3 meters.

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

The CPCTC theorem states that when two triangles are congruent, their corresponding parts are equal. The CPCTC is an abbreviation used for 'corresponding parts of congruent triangles are congruent'.

Answer:

\(2 \frac{10}{27}\)

Step-by-step explanation:

4/3 to the power of 3 = to 4/3 x 4/3 x 4/3

which in the end equals to 64/27

there's no common factor between them to simplify, but we can turn them into a mixed number, which is 2 10/27 by dividing 64 and 27

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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