write an equation that describes the line: a line has a slope of 2 and passes through thr point (3, 13)​

Answer:

2x^3+8x^2-23x+6

Step-by-step explanation:

Multiply each term in the first expression (x+6) by each term in the second expression (2x^2-4x+1) and then combine like terms.

Answer:

x=17/3

Step-by-step explanation:

divide both sides by 3 to isolate x

Answer: False. Maximum parsimony is a method used in phylogenetic analysis that aims to find the tree that requires the fewest number of evolutionary events (such as mutations or character state changes) to explain the observed data. It is not directly based on the probability of these events. However, the choice of the most parsimonious tree can be influenced by probability-based models of evolution, such as the assumption that evolutionary events occur randomly and at a constant rate over time.

Step-by-step explanation:

I think that the correct answer to the question is A

Answer:

1: Linear

2: Linear

Step-by-step explanation:

Scenario 1:

Equation: y=8x  (where x represents # of hours worked)

The graph would be linear.

Scenario2:

Equation: y=5x (where x is the # of boxes of donuts purchased)

The graph would be linear. ( I assumed that each box is $5 since 5/1=10/2 )

A similar situation could be: In an art shop, crayons are sold. It costs $7 for 1 box of crayons.

- The graph would be linear, and it would be constant as long as the price for each box of crayons is not changed. Equation is: y=7x

I'm not sure if this is exactly what the last question asked, pretty sure this would be an okay example.

To Prove :

\( \sf \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} = \tan54\degree \\ \\ \)

\( \sf LHS = \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} \\ \\ \)

\( \sf RHS = \tan54\degree \\ \\ \)

Solving for LHS :

Divide numerator and denominator by cos9°

\(\longrightarrow \: \: \sf\dfrac { \dfrac{ \cos9\degree}{ \cos9\degree} + { \dfrac{\sin9}{ \cos9} }}{ \dfrac{ \cos9\degree }{ \cos9\degree} - { \dfrac{ \sin9\degree}{ \cos9\degree}}} \\ \\ \)

\( \longrightarrow \: \: \sf\dfrac{1 + { \dfrac {\sin9\degree}{ \cos9\degree}} }{1 - { \dfrac{ \sin9\degree}{ \cos9\degree} }} \\ \\ \)

\(\longrightarrow \: \: \sf \dfrac{1 + \tan9\degree}{1 - \tan9\degree} \\ \\ \)

\(\longrightarrow \: \: \sf{ \dfrac{ \tan45 \degree + \tan9\degree}{1 - \tan45 \degree \tan9 \degree}} \: \: \: \: \: \: \: \sf \red{\bigg( \tan(A + B) = \dfrac{ \tan A + \tan B}{1 - \tan A \tan B} \bigg)} \\ \\ \)

\(\longrightarrow \: \: \sf \tan(45\degree + 9\degree) \\ \\ \)

\(\longrightarrow \: \: \sf \tan54 \degree\)

LHS = RHS

Answer:

x= (-3 +- sqrt3)/2

Step-by-step explanation:

Exact Form:

x=(-3± √ 3)/2

Decimal Form:

x = − 0.63397459 … , − 2.36602540 …

Answer:

19.625 miles

Step-by-step explanation:

The diameter of the circle is 25 miles, so the circumference is 25 x pi = 78.5.

78.5 x 1/4 (0.25) = 19.625 miles

Answer: 3/1 or just 3.

The answer would be 3 but in simplifying 9/3 it will be 3/1.

Step-by-step explanation:

a. Hypotheses:

Null hypothesis (H0): The average scores on the Statistics Challenge exam for 12th-grade boys is not significantly different from that of 12th-grade girls.

Alternative hypothesis (Ha): The average scores on the Statistics Challenge exam for 12th-grade boys is significantly different from that of 12th-grade girls.

Claim: Mr. Robertson claims that the average scores on the Statistics Challenge exam for 12th-grade boys is not significantly different from that of 12th-grade girls.

b. Decision rule:

Since the population variances are assumed to be equal, we can use the two-sample t-test for independent samples. The critical value for a two-tailed test at alpha = 0.1 can be obtained from the t-distribution table or a statistical software.

c. Computation:

The formula for the two-sample t-test is:

t = (X1 - X2) / sqrt((s1^2 / n1) + (s2^2 / n2))

where:

X1 = mean score for girls

X2 = mean score for boys

s1 = standard deviation for girls

s2 = standard deviation for boys

n1 = sample size for girls

n2 = sample size for boys

Substituting the given values:

X1 = 80.3, X2 = 84.5, s1 = 4.2, s2 = 3.9, n1 = 24, n2 = 19

t = (80.3 - 84.5) / sqrt((4.2^2 / 24) + (3.9^2 / 19))

d. Decision:

To make a decision, we compare the calculated t-value with the critical t-value. If the calculated t-value falls in the critical region, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

e. Interpretation:

Based on the calculated t-value and the critical t-value at alpha = 0.1, if the calculated t-value falls in the critical region, we can reject Mr. Robertson's claim that the average scores on the Statistics Challenge exam for 12th-grade boys is not significantly different from that of 12th-grade girls. This means that there is evidence to suggest that there is a significant difference in the average scores between the two groups.

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Answer:

A and B

Step-by-step explanation:

Because they have a combined total of 30 years old so that eliminates C and D.

And for the ones that ask how old they are you could put their both 15.

Answer:

Step-by-step explanation:

N___________________M_______O

               76                                 15

NO = MN + MO = 76 + 15 = 91

Answer:

-------------------

Use the formula:

Plugging in the given values, solve for h:

The height of the prism is 6 cm.

Answer: B

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

8,375,693.1

Keep the 5 in that position, and replace all other digits by zeros.

0,005,000.0

Now rewrite the number without the unnecessary zeros.

5,000

The 5 is in the thousands place, so it stands for 5000.

Answer:

5000

Step-by-step explanation:

Hope this helps! Please mark brainlest, if you don't mind.

Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

The number of shirts that the debate club need to sell on order to break even would be = 17 T-shirts.

The total amount of money that the company producing the T-shirts will charge the club = $250

The total charge contains the following:

The amount to sell each T-Shirt. = $15 each.

The number of T-shirts that can be sold = 250/15 = 16.6

That is approximately = 17 T-shirts.

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Answer:

Step-by-step explanation:

Yes

Answer:

1583 in²

Step-by-step explanation:

Radius r = 12/2 = 6 inches

Height h = 14 inches

Volume = πr²h = 3.14 x 6² x 14 = 1583 in²

Answer:

1000

Step-by-step explanation:

5000 × 4% × 5 / 100

1000

The balance will be $6,100.95 in 5 years.

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

Given:

P = $5000

R= 4%

T= 5 years

So, r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P\((1 + r/n)^{nt\)

A = 5,000.00\((1 + 0.04/4)^{(4)(5)\)

A = 5,000.00\((1 + 0.01)^{(20)\)

A = $6,100.95

Hence, the balance is $6,100.95

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Answer:

what?

Step-by-step explanation:

Answer:

158degrees

Step-by-step explanation:

2 = 68 ( vertically opposite)

4 = 90 (Vertically opposite)

6= 68 +90 = 158( exterior angle is sum of its opposite interior)

Answer:

jamie gets 63

Step-by-step explanation:

27(olivias sweets)/3=9

9*7=63

=63

Answer:

63

Step-by-step explanation:

you have set them up so you can cross multiply.

(3 * x) = (7 * 27)

3x = (189)

to solve for x we need to isolate the variable, so divide both sides by 3:

x = 63

(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.

(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.

(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.

(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.

(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.

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The shock in part (c) leads to a decrease in capital per worker and consumption per worker, potentially affecting the standard of living. In contrast, the shock in part (d) leads to an increase in output per effective worker, which can positively impact the standard of living.

(c) When the tax funds are assumed to be gone without any goods or services purchased or government employees paid, it implies that the tax revenue is completely removed from the economy. In this case, the impact on the steady state levels of capital per worker and consumption per worker would depend on the specific economic model and assumptions.

Generally, the removal of tax revenue would lead to a reduction in both capital per worker and consumption per worker. The exact magnitude of the impact would depend on various factors, such as the marginal propensity to consume and the saving behavior of individuals. In steady state, the reduction in capital per worker could lead to lower productivity and potentially lower output per worker, affecting the standard of living.

To sketch a diagram showing the impact of this shock, you would typically have the levels of capital per worker and consumption per worker on the y-axis and time or steady state on the x-axis. The diagram would show a downward shift in both the capital per worker and consumption per worker curves, indicating a decrease due to the removal of tax revenue.

(d) When the tax funds are used by the government to implement plans that increase the growth rate of labor-augmenting technological change to 3% per year, it implies that the tax revenue is directed towards productivity-enhancing investments or policies. In this case, the impact on the steady state levels of capital per effective worker, output per effective worker, and consumption per effective worker can be analyzed.

The increase in the growth rate of labor-augmenting technological change would lead to higher productivity and potentially higher output per effective worker in steady state. This increase in output per effective worker could also translate into higher consumption per effective worker, depending on the saving and consumption behavior.

To sketch a diagram showing the impact of this shock, you would typically have the levels of capital per effective worker, output per effective worker, and consumption per effective worker on the y-axis and time or steady state on the x-axis. The diagram would show an upward shift in the output per effective worker curve, indicating an increase due to the improved technological change.

Overall, the shock in part (c) leads to a decrease in capital per worker and consumption per worker, potentially affecting the standard of living. In contrast, the shock in part (d) leads to an increase in output per effective worker, which can positively impact the standard of living.

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Answer:

X=8

Hope I helped

Answer:

8

Step-by-step explanation:

I hope this helps!

Answer: \(f(x)=15500(1.0375)^x\)

Step-by-step explanation:

The exponential model for growth is given by :-

\(f(x)=A(1+r)^x\), where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

\(f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x\)

hence, the required model: \(f(x)=15500(1.0375)^x\)

The Tire #1 needs to make 8,407,643 full rotations to travel 10,000 miles. We can repeat this process for Tire #2 and Tire #3, using their respective circumferences to calculate the number of rotations.

To find the number of full rotations each tire will need to travel 10,000 miles, we need to divide 52,800,000 by the circumference of each tire in feet. Let's say the circumference of Tire #1 is 6.28 feet (as per example). Dividing 52,800,000 by 6.28 gives us approximately 8,407,643 rotations.

For Tire #1:
Number of Turns (T1) = 52,800,000 ft / C1 ft/rotation

For Tire #2:
Number of Turns (T2) = 52,800,000 ft / C2 ft/rotation

For Tire #3:
Number of Turns (T3) = 52,800,000 ft / C3 ft/rotation

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Answer:

108°

Step-by-step explanation: