∆GHI is an isosceles triangle with a vertex angle H
If the m∠H=80°, then find the m∠I.

Answer:

You can always ask the tutor they give the correct answer :))

Answer:

1. -14

2. v=10

Step-by-step explanation:

1.

- 22= - 8+k

-k-22=-8

-k=-8+22

-k=14/(-1)

k=-14

In 2020, Ramiro paid $4,537.22 for Social Security tax and $1,061.70 for Medicare tax

What is Percentage?

Percentage is a way of expressing a number as a fraction of 100. It represents a proportion or rate out of 100, and is often used to compare values or to express a change or growth.

Solution:

To find how much Ramiro paid for Social Security and Medicare taxes in 2020, we can follow these steps:

1. Calculate the amount of Ramiro's income that is subject to Social Security tax. In 2020, Social Security tax was only applied to the first $137,700 of income. Since Ramiro's income of $73,210 is less than $137,700, all of his income is subject to Social Security tax.

2. Calculate the amount of Social Security tax that Ramiro paid. Since Social Security tax was 6.2% of income in 2020, Ramiro paid:

3. Social Security tax = 0.062 x $73,210 = $4,537.22

1. Calculate the amount of Medicare tax that Ramiro paid. Medicare tax was 1.45% of all income, with no income limit. Therefore, Ramiro paid:

2. Medicare tax = 0.0145 x $73,210 = $1,061.70

Therefore, in 2020, Ramiro paid $4,537.22 for Social Security tax and $1,061.70 for Medicare tax, for a total of $5,598.92 in Social Security and Medicare taxes.

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Answer:

60

Step-by-step explanation:

The U.S. Fish and Wildlife Service used a sampling design called Simple Random Sampling to collect data on the fishing industry around Saginaw Bay. Simple random sampling was chosen because of its unbiased approach to the selection of sample members, allowing for equal opportunities for each fisherman to be represented in the study.

The U.S. Fish and Wildlife Service has used a sampling design called Simple Random Sampling. Simple Random Sampling (SRS) is a statistical technique used to gather data from a predetermined sample population randomly. The sample selected is done in such a way that each item in the population has the same probability of being selected as part of the sample size. The method used by the U.S. Fish and Wildlife Service fits the criteria for a simple random sample because it randomly selects 5 boats from a random fishing day to collect data, and it meets the characteristics of random sampling.What could go wrong with the design that they have proposed?There are several disadvantages to the simple random sample design which are: It may not provide an accurate representation of the population being studied because random sampling does not take into account the homogeneity of the population. This means that the sample may be unrepresentative, as a biased sample may affect the results of the study. Furthermore, random sampling is not practical when studying large populations, or when the population is too vast or unknown. Lastly, if the sampling method is done poorly, some individuals in the population may be excluded from the sample, which may affect the reliability and validity of the data. As a result, it is essential to ensure that the sampling design used in any research is appropriate for the population being studied.

In conclusion, the U.S. Fish and Wildlife Service used a sampling design called Simple Random Sampling to collect data on the fishing industry around Saginaw Bay. Simple random sampling was chosen because of its unbiased approach to the selection of sample members, allowing for equal opportunities for each fisherman to be represented in the study. However, the U.S. Fish and Wildlife Service must be cautious in their approach, ensuring that the sampling method used provides accurate and representative results.

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\(\tt F=\dfrac{9}{5}C+32\:or\\\\^oC =\dfrac{5}{9}(F-32)\\\\^oC=\dfrac{5}{9}(65-32)=\boxed{\bold{18.3}}\)

Answer:

13.

p=$2000

t=5year

rate=2.5%

compound amount =p(1+r/100)^t

=2000(1+2.5/100)^5=$2262.8 is total balance

By solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign =. In French, an equation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.

An equation is composed of two expressions joined by an equals sign (=). The expressions on the two sides of the equals sign are referred to as the equation's left-hand side and right-hand side. The right side of an equation is frequently considered to be zero.

Given,

2x+y=4

x-y=1

By solving above two equations we get,

2x+y=4

x-y=1

3x=5

x=5/3

y=-1+x

y=(5/3)-1

y=2/3

Therefore, by solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

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Answer:

9^5

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

f(-7) = 4(-7)^2 - 4(-7)

=196 + 28

=224

Answer:

x = -3

Step-by-step explanation:

first, take out the x on the right side and move it to the left side (subtract the 13x from 13x and subtract 13x from -2x). then amove 23 from the left side to the right side (add 23 to 23 and add 23 to 22). the equation should be -15x = 45 now. divide -15 from both sides and you should get x = -3!

i hope this helps you!

The total number of ways to fit 1 X 1 X 2 sized dominoes into a domino of dimensions 2 X 2 X N is \(2^{(N/2)\)if N is even, and \(2^{((N-1)/2)\) if N is odd.

We can approach this problem by considering the number of possible positions for the dominoes in the 2 X 2 X N domino.

First, note that the dominoes are 1 X 1 X 2 in size, which means that they can only be placed in the 2 X 2 face of the larger domino.

Let's consider the placement of the first domino. It can be placed either horizontally or vertically in the 2 X 2 face of the larger domino. If it is placed horizontally, then the remaining space in the 2 X 2 face can accommodate one more horizontal domino or two vertical dominoes. If it is placed vertically, then the remaining space can accommodate two horizontal dominoes or one more vertical domino.

Let's assume that we start by placing the first domino horizontally. Then, the remaining space can accommodate one more horizontal domino or two vertical dominoes. If we place another horizontal domino, then the remaining space can only accommodate two vertical dominoes. Therefore, we can only place two horizontal dominoes in this case.

If we place the second domino vertically instead, then the remaining space can accommodate two horizontal dominoes or one more vertical domino. If we place another vertical domino, then the remaining space can only accommodate two horizontal dominoes. Therefore, we can only place two vertical dominoes in this case.

Therefore, the possible combinations are as follows:

If N is even: There are N/2 possible positions for the dominoes in each of the N/2 layers of the larger domino. Each layer can accommodate two horizontal dominoes or two vertical dominoes. Therefore, the total number of combinations is 2^(N/2).

If N is odd: We can place one horizontal domino in the first layer, and then proceed as if N were even. Therefore, the total number of combinations is 2^((N-1)/2).

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the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

1. Jerome and Jewel Jones are looking to buy their family home for their burgeoning brood. They are looking for a five-bedroom house. The average price of a five- bedroom house is GH¢450,000 in their locality. A bank offers the couple a 15- year mortgage facility at an interest rate of 24.5%. The bank also requires that the instalment payments do not exceed 30% of the couple’s monthly income. What should be the couple’s combined monthly income if they wish to take the facility?

2. You are willing to pay GH¢15,625 now to purchase a perpetuity that will pay you and your heirs GH¢1,250 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 20-year, annual payment, annuity instead of a perpetuity?

3. Desmodus Limited, a toy maker, prepares its accounts to 31 December each year. For the 2017 financial year the company paid a dividend of GH¢0.55 per share. Dividends paid are paid at the end of year but the 2017 were 80% lower than that of the previous year due to a difficult financial year. Members of the com- pany at its annual general meeting agreed not to pay dividends over the next two years and instead pay down the company’s bonds. Dividend payment will resume thereafter at the level of the 2017 dividends for three years. Management be- lieves that the company can afford to increase dividends at a rate of 4% thereafter for the foreseeable future. What is the intrinsic value of the company’s shares at the start of 2019 financial year if firms in the toy industry deliver returns of 13.5% on average?

4. YouhavejustjoinedtheMaaretsGroup,andyourbossasksyoutoreviewarecent analysis that was done to compare three alternative proposals to enhance the firm’s manufacturing facility. You find that the prior analysis ranked the proposals according to their IRR, and recommended the highest IRR option, Proposal A. You are concerned and decide to redo the analysis using NPV to determine whether this recommendation was appropriate. But while you are confident the IRRs were computed correctly, it seems that some of the underlying data regarding the cash flows that were estimated for each proposal was not included in the report. Here is the information you have, all amounts in millions of GH¢ o.:

PROPOSAL IRR YEAR 1 YEAR 2 YEAR 3 YEAR 4

A 60% -100 30 153 88

B 55% ? 0 206 95

C 50% -100 37 0 204+?

(a) Which projects would recommend based on the NPV of each proposal if the appropriate cost of capital is 10%?

(b) Would your recommendations be valid if the company has capital limitation of GH¢285 million? Explain your with appropriate detail.

Step-by-step explanation:

The roots of the above equation: + 76 = 0. = [-4 ± √(4² - 4(1)(76))] / 2(1)? = [-4 ± √(-300)] / 2? = [-4 ± 2√75i] / 2? = -2  75iThe general solution is asy = C? cos ? ln x) + D? ( sin ? ln x), where the constants C and D are.

Decrease of the provided second request Tribute into a first request equation .The provided second request differential condition is: x?y" - xy' + y = 0Dividing by x on the two sides, we getx?y"/x - xy'/x + y/x = 0So the above condition can be composed asy"/x - y'/x + y/x² = 0Now, we should expect thatz = y/xSubstituting y = xz in the equationy"/x - y'/x + y/x² = 0y"/x - z' + z/x² = 0

Thus, the necessary first-request differential condition can be gotten asz' - z/x = - y"/x5. Arrangement of the given Euler-Cauchy equationThe given Euler-Cauchy differential condition is:224" - 4.ry' + 6y = 0We expect an answer of the structure: y = x?This suggests that y' =?? and y" = ?? We obtain:2? by substituting the above values into the differential equation. + 4 r ? - 4 r ? + 6 ? = 0or2 ? - 2 r ? + 6 ? = 0or? ( 2 - 2 r + 6?) = 0For a non-insignificant arrangement, we have the quadratic equation2 - 2 r + 6? = 0or3? - As a result, the equation above has the following roots: = (-b ± √(b² - 4ac))/2aSubstituting the upsides of a, b, and c, we get? = (-(-1) ± √(1² - 4(3)(1))) / 2(3)? = (1 ± √(- 11))/6We have the roots as complicated numbers:

The general solution can be written as: a + bi = (1(-11))/6 y = Ax?(cos((√11/6) ln x) + I sin((√11/6) ln x)) + Bx?(cos((√11/6) ln x) - I sin((√11/6) ln x))Where An and B are constants.6. The given second-order differential equation can be solved as follows: y" + 4y + (72 + 4)y = 0 Let's say the following is the solution: Then y' equals? e?y" = ? 2 e?By substituting these values for the differential equation that is provided, we obtain:?? + 4e? + (72 + 4)e? = 0or(?)² + 4? + 72 + 4 = 0or(?)² + 4? Now that we know the quadratic formula, we can find the roots of the above equation: + 76 = 0. = [-4 ± √(4² - 4(1)(76))] / 2(1)? = [-4 ± √(-300)] / 2? = [-4 ± 2√75i] / 2? = -2  75iThe general solution is asy = C? cos ? ln x) + D? ( sin ? ln x), where the constants C and D are.

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Answer:

A. 5 × ( 3 + 2 + 2 1/4 )

Step-by-step explanation:

Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.

The expression represents the total number of miles he biked is calculated as:

The number of times he rode his bike × (sum of the number of miles he biked)

= 5 × ( 3 mile + 2 miles + 2 1/4 miles)

= 5 × (3 + 2 + 2 1/4)

Therefore, Option A is the correct option

The total distance the ball has traveled from the moment it is dropped until it hits the floor for the fourth time is: 300 feet.

First  bounce

160 feet

Second bounce

= 1/2×160 = 80 feet

Third bounce

= 1/2×80 = 40 feet

Fourth bounce

= 1/2×40 = 20 feet

Hence:

Total distance= (160 feet+ 80 feet + 40 feet+20 feet

Total distance= 300 feet

Therefore the total distance traveled by the ball is 300 feet.

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The probability that neither of the people have their ears pierced is 0.6157

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

The probability of A happening is the number of people who do not have their ears pierced divided by the total number of people in the sample, which is:

P(A) = (2000 - 430) / 2000 = 1570 / 2000 = 0.785

The conditional probability of B given A is the number of people who do not have their ears pierced and are still available to be selected as the second person divided by the total number of people available to be selected as the second person, which is:

P(B|A) = (2000 - 430 - 1) / (2000 - 1) = 1569 / 1999 = 0.7845

Therefore, the probability that neither of the people have their ears pierced is:

P(A) * P(B|A) = 0.785 * 0.7845 = 0.6157

Hence, the probability that neither of the people have their ears pierced is 0.6157

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Recall that 60 minutes makes 1 hour

Hence 4 hours will be

= 60 * 4

= 240 minutes

If in 15 minutes, she can pick 1/3 pounds of berries

then 240 minutes

= 240/15 * 1/3

= 16/3 pounds

= 5 1/3 pounds

Answer:

All of them

Step-by-step explanation:

none of the graphs repeat any numbers on the x

The equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x is y = 4x.

An equation is a mathematical statement that shows the relationship between two or more values.

In this case, Leon has already had 4 science quizzes this semester and expects to have 4 quizzes per month going forward.

We can use an equation to show how the total number of science quizzes, y, depends on the number of months that have passed, x.

The equation for this would be y = 4x, where x is the number of months that have passed and y is the total number of science quizzes.

This equation shows that for each month that passes, the total number of science quizzes increases by 4

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Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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In this scenario, we are considering if-then statements. Looking at the given statement,

p = angle A is an obtuse angle

q = the measure of angle A = 75 degrees

A statement of if q, then p would be

q - p

where - is an arrow pointing to the right

Looking at the picture, the symbol before p represents negation. It tells us that

if q, then not p. By translation, the correct answer would be

If the measure of angle A = 75 degrees, then angle A is not an obtuse angle

Answer:

3(n + 25) = 50 + 2n

Step-by-step explanation:

5 x 3/5 = 15/5.  Simplify...

3

5(10 + 2/5 n )

50 + 10/5 n

50 + 2 n