Donavan is measuring the angles of a triangle. He measures the first two angles and gets 10 and 120. What should be the measure of the third angle

Answer:

Neither are polynomials because polynomials have more than 2 terms

Step-by-step explanation:

Answer: 10 is a polynomial because the power of x is 0, which is a whole number.

Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.

As per given utility function, Tane will accept any job as long as the job comes with a certain payment of at least $40,000 (approx.).

Tane's utility function, \(U(W)=W^{0.5}\), indicates that he has a concave utility function, implying diminishing marginal utility of wealth. This means that Tane values each additional dollar of wealth less as his wealth increases.

Considering the job offer with a base salary of $30,000 and a potential $70,000 bonus with a 0.5 probability, we can calculate the expected value of this salary scheme. The expected value is calculated as the sum of each possible outcome multiplied by its respective probability:

Expected Value = (0.5 * $30,000) + (0.5 * $100,000) = $65,000

Since the expected value is less than $80,000 (approx.), which is the minimum certain payment Tane would accept, Tane would not accept the job offer with the probabilistic salary scheme.

However, Tane's utility function indicates that he values certainty in income. As long as the job comes with a certain payment of at least $40,000 (approx.), Tane would prefer to accept the job because the certain payment guarantees a minimum level of income, providing him with a higher level of certainty and potentially higher utility compared to the probabilistic salary scheme. Therefore, Tane will accept any job as long as the job comes with a certain payment of at least $40,000 (approx.).

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Answer:

x = 8

y = 12

Step-by-step explanation:

m∠A = sin⁻¹(9/15) = 36.87⁰

cos36.87 = y/15

y = 15(cos36.87) = 12

sin36.87 = 12/(12+x)

12 + x = 12/(sin36.87)

x = 12/(sin36.87) - 12 = 8

Answer:

  2.0

Step-by-step explanation:

Subtract the smaller number from the larger to find their difference:

  1.5 -(-0.5) = 2.0

The distance between the given values is 2.0.

Answer:

D. No solutions.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the solution set for our given system.

Answer: $15

Step-by-step explanation:

6 times 10 = 60

(6 is tickets, $10)

He has $45 but needs $15 more dollars to pay.

60-45=15

The solutiοn of the given prοblem of volume comes οut to be r =  2.22 radius is cylinder.

A three-dimensional οbject's volume, which is expressed in cubic units, indicates hοw much space it takes up. The cubic units cm³ and in³ are twο examples. On the οther hand, a thing's mass is a measure of hοw much stuff it contains. Usually, an οbject's weight is expressed in mass units like pοunds & kilograms.

Here,

Given :

=> height = 12.2 cm

=> vοlume = 190 cm³

Vοlume formula : πr²h

=> π * r² * 12.2 = 190

=> r² = 190/12.2 * 7/22

=> r² = 15.57 * 0.318

=> r² = 4.95126

=> r =  2.22

Therefοre, the sοlution of the given prοblem of volume comes out to be

r =  2.22 radius is cylinder.

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The monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58. To compute the monthly payment during the second year of a variable rate mortgage, we need to consider the loan amount, the interest rate, and the loan term.

Loan amount: $325,000

First-year teaser rate: 3.11%

Rate for the second year: 5%

To calculate the monthly payment during the second year, we can use the formula for calculating the fixed monthly payment on a mortgage:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-n))

Where:

Loan amount = $325,000

Monthly interest rate = Annual interest rate / 12

Annual interest rate for the second year = 5%

n = Total number of monthly payments (12 payments in a year)

First, we calculate the monthly interest rate for the second year:

Monthly interest rate = 5% / 12 = 0.4167%

Next, we substitute the values into the formula:

Monthly payment = ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12))

Using a calculator, we can evaluate this expression:

Monthly payment ≈ ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12)) ≈ $1,654.58

Therefore, the monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58.

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Answer:

14.29%

Step-by-step explanation:

You would do 84 -72. You should get 12. Then you would do 12/84 to get the discount percentage.

If you round to the hundredths, then your answer would be 14.29%.

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

A chord of a circle is a segment that connects two points on the circle. Therefore, in order to determine which of the rays or segments below is a chord of circle O, we need to identify which of them connects two points on the circle.

- UD: This is a ray that starts at point U and extends indefinitely in the direction of point D. It does not connect two points on the circle, so it is not a chord of circle O.
- GR: This is a segment that connects point G and point R. However, neither of these points is on circle O, so this segment is not a chord of circle O.
- UO: This is a segment that connects point U and point O. Both of these points are on circle O, so this segment is a chord of circle O.
- GD: This is a ray that starts at point G and extends indefinitely in the direction of point D. It does not connect two points on the circle, so it is not a chord of circle O.

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Answer:

12u + 14 + 5x or 12u + 11 + 5x = 3

Step-by-step explanation: I dont know I was just guessing cause u had 2 equal signs by numbers

Answer:

2/100 is the answer to the question

Answer:

B

Step-by-step explanation:

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

asa

i'm pretty sure sorry if wrong

Step-by-step explanation:

Answer:

this point is 72 digri ok

Answer:

286.333

Step-by-step explanation:

Find it doing long division...

Answer:

slope is -3

y-intercept is -2

Step-by-step explanation:

put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept

12x + 4y = -8

4y = -12x - 8

y = -12/4x - 8/4

y = -3x - 2 (simplified)

B) ∅ (empty set); The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

To find the composition T ∘ S, we need to determine the set of ordered pairs that satisfy both relations S and T. Let's analyze the definitions of S and T:

S = {(x, y) ∣ x < y}

T = {(x, y) ∣ x > y}

To find T ∘ S, we need to check if there exists an element z such that (x, z) is in T and (z, y) is in S for any (x, y) in the given relations. However, if we observe the definitions of S and T, we can see that there is no common element that satisfies both relations.

For any (x, y) in S, we have x < y, but in T, the relation is defined as x > y. Therefore, there are no elements that satisfy both conditions simultaneously.

As a result, T ∘ S will be an empty set (∅) because there are no ordered pairs that satisfy the composition of the two relations.

The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

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Step-by-step explanation:

option C is correct

hope this answer helps you! take care

Answer:

0ption C is correct hope it correct have good day

Step-by-step explanation:

1 A. The independent variable is the age group (Adolescents, Middle Aged, and Seniors)

1. B. The dependent variable is anxiety level.

1. C. The appropriate statistical test is a one-way ANOVA

1. D. The degrees of freedom are 2 and 12; The sum of squares between groups (SSB), 70 and The sum of squares within group (SSW) is 46. Variance; Mean squares Between (MSB) 35 and Mean squares within (MSW) 3.83.  F statistics, 9.14. The critical F value 2 - 12 at α = 0.05 is 3.89. Since F statistic (9.14) is greater than the critical F value, we reject the null hypothesis. There is a statistically significant difference in anxiety levels between the three age groups at the 0.05 significance level.

1. E. For M₁ and M₂; 4 > 2.6965,the difference is statistically significant.

For M₁ and M₃; 5 > 2.6965, the difference is statistically significant.

For M₂ and M₃; 1 is not greater than 2.6965, the difference is not statistically significant.

To write the outcome of the hypothesis test, state;

1. F. A one-way ANOVA was conducted to test for differences in anxiety level between three age groups. The results showed a significant difference between the groups, F(2, 12) = 9.14, p < .05, η² = 0.603. Post-hoc comparisons using the Tukey HSD test indicated that the anxiety level for adolescents significantly differed from that of middle-aged individuals and seniors.

However, the middle-aged group and the seniors did not significantly differ from each other. These results suggest a large effect size, with 60.3% of the variance in anxiety levels explained by the age group."

You can calculate the degrees of freedom, sum of variances, and is critical value this way;

Degree of Freedom

The degrees of freedom between groups (dfb) is k-1 = 3-1 = 2.

The degrees of freedom within groups (dfw) is N-k = 15-3 = 12

Sum of squares

The sum of squares between groups (SSB) can be calculated as:

SSB = ΣT²/n - G²/N

= ((5²/5) + (25²/5) + (30²/5)) - (60²/15)

= 10 + 125 + 180 - 240

= 70

The sum of squares within groups (SSW) can be calculated as:

SSW = ΣX² - ΣT²/n

= 356 - ((5²/5) + (25²/5) + (30²/5))

= 356 - (10 + 125 + 180)

= 46

Variance

The mean square between (MSB) is SSB/dfb = 70/2 = 35.

The mean square within (MSW) is SSW/dfw = 46/12 = 3.83.

F-statistics

The F statistic is MSB/MSW = 35/3.83 = 9.14.

The critical F value at α = 0.05 for dfb = 2 and dfw = 12 ⇒ F-distribution table = 3.89.

The Effect Size

η² = SSB/SST

= 70/(70 + 46)

= 0.603

Post Hoc test Tukey HSD

HSD = q × √((MSW / n))

studentized range statistic value obtained from a q-table is 3.081 at 2 and 12 and 0.05

When we substitute values;

HSD = 3.081 × √((3.83 / 5)) =  2.6965

M₁ - M₂ = 1-5 = -4 = 4

M₁ - M₃,= 1-6 = -5 = 5

M₂ - M₃ = 5-6 = -1 = 1

compare this HSD value with absolute differences.  If absolute difference for any pair is greater than the HSD, then the means for that pair of groups are significantly different.

The above answers are based on the full group data as presented below;

Adolescents          Middle Aged        Seniors

M₁ = 1                        M₂ = 5                   M₃ = 6              ΣX² = 356

n = 5                         n = 5                      n = 5                G = 60

T₁ = 5                        T₂ = 25                  T₃ = 30               N = 15

SS₁ = 12                  SS₂ = 20                 SS₃ = 14               k = 3

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Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

Answer:

true

Step-by-step explanation:

Answer:

0.4785

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

√ 50x²y³

√25* 2 x²y³

5xy√2y

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Answer:

1. a) (0,-6)

2. d) f(0)=-6

3. d

4. a (?)

Step-by-step explanation:

1. f(0)=-6, which is negative

2. f(0)=-6

3. when x=7, f(7)=0

4. domain: [-10,8] because x=-10 and 8 are included in the domain

Hopefully, this helps.