14. The sum of two numbers is 26. The larger number is 2 more than twice the smaller number. Find the numbers.​

Answer:

c

Step-by-step explanation:

Answer:

State Taxes.

Step-by-step explanation:

I had a test on this and got it right :))

In the given formula we have variables:

If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.

If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.

Since n is the power of a number we need logarithm to solve it for n.

Answer:

"Principal (loan amount)"

"Term of the loan (in months)" or "Number of monthly payments"

Logarithms

Step-by-step explanation:

Monthly Payment Formula

\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)

where:

If we solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we need to use logarithms:

\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

Answer:

The answer is 6

Step-by-step explanation:

4.5 = 75% × Y

4.5 =  

75

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

Y = 4.5 ×  

100

75

Y = 4.5 × 100 ÷ 75

Y = 6

Complete question is;

Tiothy evaluated the expression using x = 3 and y = –4. The expression is (xy^(-2))/(3x²y^(−4))

1. (1/3)x^(−1)(y²) 2. ((1/3)^(3−1))(−4²) 3. (1/3)(1/3)(−4)² 4. (1/3)(1/3)(−16) 5. −16/9 Analyze Timothy's steps. Is he correct? If not, why not?

A) Yes, he is correct.

B) No, he needed to add the exponents when he simplified the powers of the same base.

C) No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction.

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Answer:

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Step-by-step explanation:

The expression is;

(xy^(-2))/(3x²y^(−4))

Simplifying this using law of indices gives;

⅓(x^(1 - 2)) × (y^(-2 -(-4))

This gives;

= (⅓x^(-1)) × y²

= ⅓ × (1/x) × y²

We are told that x = 3 and y = –4, thus;

= ⅓ × ⅓ × (-4)²

Square of a negative number is positive, thus (-4)² = 16

Thus;

⅓ × ⅓ × (-4)² = 16/9

Looking at the answer Timothy got, it's clear he made a mistake of not getting a positive number when he squared -4.

Thus,option D is the correct answer.

Answer:

D

Step-by-step explanation:

i got it correct

Answer:

The triangle is acute.

Step-by-step explanation:

Answer:

Acute triangle

Step-by-step explanation:

Obtuse triangles have angle measures of greater than 90.

None of these angles are above ninety.

Right triangles have angle measures of 90.

None of these angles are equal to 90.

Acute triangles have angle measures that are all less than 90.

This is an acute triangle.

To say that two variables are negatively correlatted means that when one variable increases, the other variable decreases.

Negative correlation refers to a relationship between two variables where they tend to move in opposite directions. When one variable increases, the other variable tends to decrease, and vice versa. This negative relationship indicates an inverse association between the two variables.

Option A, "When one variable increases, the other decreases," accurately describes negative correlation. As one variable increases, the other variable decreases, reflecting the negative relationship between them.

Negative correlation does not imply that both variables change at the same rate (Option D). In negative correlation, the relationship is characterized by the opposite direction of change, not necessarily the same magnitude or rate of change.

Option B, "When variable increases, the other also," suggests a positive correlation, where both variables move in the same direction. This is not the case in negative correlation.

Option C, "When one variable decreases, the other also decreases," is a misinterpretation of negative correlation. In negative correlation, when one variable decreases, the other variable tends to increase, not decrease.

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Answer: 9

Step-by-step explanation: on a number line -9 is before 0 9 is after 0 , and any number to the right of a number is greater.

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Answer:

(-1,5)

Step-by-step explanation:

(2+(-4))/2=-1

(9+1)/2=5

Answer:

√50

Step-by-step explanation:

Use Pythagorean Theorem: a^2+b^2=c^2

5^2+5^2=c^2

25+25=c^2

50=c^2

c=√50

Answer:

√50

Step-by-step explanation:

tan X = opp/adj

tan X = 5/5

tan X = 1

X = tan-¹ 1

X = 45

but cos X = hyp/adj

X = 45

Cos 45 = C/5

1/√2 = C/5

5 = C√2

C = 5/√2

rationalize 5/√2 × √2/√2

5√2/2

so therefore, the answer is √50 bcos

√25×2

5√2

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

127

Step-by-step explanation:

if it is supplementary it =180

if it is complimentary it =90

so 180-53= 127

Answer:

oh god my calculator can't handle this

Step-by-step explanation:

so your answer is 3, take it or leave it

No way is that an actual question that you have to do for school. I tried solving it, but my calculator can't take much. Plus, I tried counting how many 0's and 5's and 3's and 4's there were but my tiny brain can't remember no matter what.

I am bored, though, so I did take away all of the extra numbers. I got 691,360 from solving 10 x 1695 + 334 x 40.

You're welcome, I guess.

Answer:

25/50

will equal to 1/2

The probability that a randomly selected firm will earn less than 73 million dollars is 0.9842.

The mean income of firms in the industry for a year is 45 million dollars with a standard deviation of 13 million dollars, we need to find the probability that a randomly selected firm will earn less than 73 million dollars.

We can assume that the income distribution of firms is normal. Therefore, we can use the z-score formula to find the required probability.

We have, z = (X - μ) / σ, where X is the income of the firm, μ is the mean income, and σ is the standard deviation.

z = (73 - 45) / 13

z = 2.15

Using the z-table, we can find the area under the standard normal curve to the left of z = 2.15.

The area to the left of Z-score of 2.15 is 0.984, the probability that a randomly selected firm will earn less than 73 million dollars is 0.9842

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The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Answer:

Step-by-step explanation:

z - some integer

then the consecutive integer would be:

z+1,  (or z-1)

the sum is 69 so:

z + z+1 = 96

2z = 68

z = 34

z+1 = 34 + 1 = 35

(or:

z + z-1 = 69

2z = 70

z = 35

z-1 = 35 - 1 = 34)

Answer:

a. 0.025

b. 0.90

c. 0.05

d. 0.01

e. 0.95

f. 0.90

Step-by-step explanation:

From the T-distribution table, we have;

\(Pr(T_v > t_{\alpha;v }) = \alpha\)

For a t distribution with 16 degrees of freedom, we have;

a. \(Pr(T_{16} > 2.120 }) = 0.025\)

b. \(Pr(T_{16} < 1.337}) =1 - Pr(T_{16} > 1.337}) = 1 - 0.1 = 0.90\)

c. \(Pr(T_{16} < -1.746}) =Pr(T_{16} > 1.746}) = 0.05\)

d. \(Pr(T_{16} > 2.583}) = 0.01\)

e. \(Pr(-2.120 < T_{16} < 2.120 }) = 1 - 2 \times Pr(T_{16} > 2.120 }) = 1 - 2 \times 0.025 = 0.95\)

f. \(Pr(-1.746< T_{16} < 1.746}) = 1 - 2 \times Pr(T_{16} > 1.746}) = 1 - 2 \times 0.05 = 0.90\)

The required probabilities using the t-distribution table will be a. 0.025, b. 0.90, c. 0.05, d, 0.01, e. 0.95, and f. 0.90.

Given:

A t-distribution with 16 degrees of freedom.

See the graph for the given distribution.

It is required to calculate the probability of:

Use the table of t-distribution to calculate the required probabilities.

\(P(T_\nu>t_{\alpha;\nu})=\alpha\) where \(\nu\) is the degree of freedom.

The required probabilities will be,

a) To the right of 2.120.

\(P(T_{16}>2.120)=0.025\)

b) To the left of 1.337

\(P(T_{16}<1.337)=1-P(T_{16}>1.337)\\=1-0.1\\=0.9\)

c) To the left of -1.746

\(P(T_{16}<-1.746)=P(T_{16}>1.746)\\=0.05\)

d) To the right of 2.583.

\(P(T_{16}>2.583)=0.01\)

e) Between -2.120 and 2.120.

\(P(-2.120<T_{16}<2.120)=1-2P(T_{16}>2.120)\\=1-2(0.025)=1-0.05\\=0.95\)

f) Between -1.746 and 1.746.

\(P(-1.746<T_{16}<1.746)=1-2P(T_{16}>1.746)\\=1-2(0.05)=1-0.1\\=0.90\)

Therefore, the required probabilities using the t-distribution table will be a. 0.025, b. 0.90, c. 0.05, d, 0.01, e. 0.95, and f. 0.90.

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The correct label is ∠CBA.

The correct label for the angle formed by rays BC and BA is ∠CBA. When  Angles labeling , it is important to consider the vertex of the angle, which is the point where the two rays meet. The vertex is usually labeled with a capital letter, and the angle itself is labeled with three letters, with the vertex letter in the middle. In this case, the vertex is at point B, and the two rays are BC and BA. Therefore, the angle is labeled as ∠CBA. It is important to use the correct labeling when communicating about angles in mathematics, as it ensures clarity and accuracy in solving problems and expressing ideas.

The correct label for the angle formed by rays BC and BA is ∠CBA.

Therefore, in this case, the correct label for the angle formed by rays BC and BA is ∠CBA.

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Answer:

The answer is <CBA

Step-by-step explanation:

Bc if the vertex is on "b" its going to be {bc} and {ba}. and sinces the vertex is in the middle in the image so should the letter. So its <CBA.

hope this helps

a. Wilma's expected level of consumption if she claims the credit can be calculated as follows:

Expected consumption = (Probability of avoiding punishment) * (Consumption if she avoids punishment) + (Probability of being prosecuted) * (Consumption if she is prosecuted)

Expected consumption = p * M1 + (1 - p) * M2

b. To determine whether Wilma is risk-averse, risk-neutral, or risk-loving, we need to compare her expected utility in different scenarios. Given that her utility function is u(M) = M^0.5, we can calculate the expected utility in each case and compare them. If Wilma is risk-averse, she would prefer a lower expected utility with certainty over a higher expected utility with some probability of loss. If she is risk-neutral, she would be indifferent between the two, and if she is risk-loving, she would prefer the higher expected utility with some probability of loss.

c. (i) Let's consider the mathematical expressions for Wilma's expected utility:

1. If she claims the credit:

Expected utility = (Probability of avoiding punishment) * (Utility if she avoids punishment) + (Probability of being prosecuted) * (Utility if she is prosecuted)

Expected utility = p * u(M1) + (1 - p) * u(M2)

2. If she does not claim the credit:

Expected utility = u(M0)

(ii) To find the level of income X* at which Wilma is indifferent between claiming the credit or not, we set the expected utilities equal to each other:

p * u(M1) + (1 - p) * u(M2) = u(M0)

Solving this equation will give us the value of X*.

If her income is less than X*, she will choose not to claim the credit since her expected utility without the credit will be higher.

Graphically, we can plot expected utility on the y-axis and income on the x-axis. The point where the expected utility curves intersect represents the level of income at which Wilma is indifferent between claiming the credit or not.

d. To determine the probability p* at an income of $5,625, we need to solve the equation from part (c)(ii) with X = $5,625. The resulting probability will indicate the point of indifference for Wilma.

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Answer:

A= 2w^2 + 11w +12

Step-by-step explanation:

(w + 4)(2w + 3) = l x b = A

2w^2 + 3w +8w +12 = A

A= 2w^2 + 11w +12

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

Answer:

C

Step-by-step explanation:

A=B times H is the same as A=L times W but they both find the area of a parallelogram as well as a rectangle.

Answer:

when the ph of a solution shifts from 3 to 7, the hydrogen ion concentration has changed, and _become more basic_.

Step-by-step explanation:

The hydrogen ion concentration has decreased.  The hydroxyl concentration has increased. The solution has become more basic.

Step-by-step explanation:

The americium is represented as 1. Every 432 years it decreases by 50%.

First half-life:

432 years.

\(1 \div 2 = 0.50\)

0.50 (1/2) of americium remains after 432 years.

Second half-life:

\(432 \times 2 = 864\)

\(0.5 \div 2 = 0.25\)

0.25 (1/4) of the americium remains.

Third half-life:

\(432 \times 3 = 1296\)

\(0.25 \div 2 = 0.125\)

0.125 (1/8) of the americium remains.

Last half-life:

\(432 \times 4 = 1728\)

\(0.125 \div 2 = 0.0625\)

0.0625 (1/16) of the americium remains.

Option B is correct.