QUESTION 1 Jim and Jane are a married and file their taxes jointly They have three dependent children, which allow them to claim a $2,000 child care tax credit. Their household income comes from the sources Jim's salary of $50,000, Jane's salary of $65.000 and $25,000 on interest from investments. They itemize their deduction for 2019, which includes $10,000 in mortgage interest. $3,000 in state and local taxes, and $2,500 in chantable donations. The personal exemption claimed for each member of the household is $4,200 What is Jim and Jane's adjusted gross income?

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

mince is the answer

From distance formula, the distance covered by a particle with position (x, y) as time, t is equals to the \( 18\sqrt{2}\).

The distance d, traveled by the particle with position vector, r(t) = <x(t), y(t) > over the interval [a,b] is calculated by following

\(d = \int_{a}^{b} ( (\frac{dx}{dt})² +(\frac{dy}{dt})² )dt\). We have a particle with position value (x, y) as t varies in the time interval. The parametric equations are, x = 3 sin² (t), y = 3 cos²(t), on the

time interval [0,3π]. Now the derivative of above parametric equations with respect to time t are \(\frac{dx}{dt} = 6 sin(t)cos(t) \) = 3 sin(2t)

\(\frac{dy}{dt} = -6 sin(t)cos(t) \)

= - 3 sin(2t)

Therefore, the required distance travelled by particle in the interval [0,3π] is written as \(d = \int_{0}^{3π} \sqrt{( (3 sin(2t))² + (-3 sin(2t))²) dt} \\ \)

\(= \int_{0}^{3π} \sqrt{ ( 9 sin²(2t) + 9sin²(2t))}dt \\ \)

\(= \int_{0}^{3π} \sqrt{18sin²(2t)dt}\)

\(= 3\sqrt{2}\int_{0}^{3π} |sin(2t)|dt\)

\(= 3\sqrt{2}[ \int_{0}^{\frac{π}{2}} sin(2t)dt - \int_{\frac{π}{2}}^{π} sin(2t)dt + \int_{π}^{\frac{3π}{2}} sin(2t)dt - \int_{\frac{π}{2}}^{2π}sin(2t)dt + \int_{2π}^{\frac{5π}{2}}sin(2t)dt - \int_{\frac{5π}{2}}^{3π}sin(2t)dt \\ \)

\(= 3\sqrt{2}([ \frac{cos(2t)}{2}]_{0}^{\frac{π}{2}} - [\frac{cos(2t)}{2}]_{\frac{π}{2}}^{π} + [\frac{cos(2t)}{2}]_{π}^{\frac{3π}{2}} - [\frac{cos(2t)}{2}]_{\frac{3π}{2}}^{2π} + [\frac{cos(2t)}{2}]_{2π}^{\frac{5π}{2} }- [ \frac{cos(2t)}{2}]_{\frac{5π}{2}}^{3π})\\ \)

\(= 3\sqrt{2}([ \frac{1}{2} +{\frac{1}{2}] - [\frac{-1}{2}- \frac{1}{2}}] + [\frac{1}{2}+ \frac{1}{2}] - [\frac{-1}{2} - \frac{1}{2}] + [\frac{1}{2} + \frac{1}{2}]- [ \frac{-1}{2} - \frac{1}{2}])\\ \)

\(= 3\sqrt{2}(6)\) =\(= 18\sqrt{2}\)

Hence, the required distance is \( 18\sqrt{2}\).

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Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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Answer:

11

Step-by-step explanation:

55 divided by 5 would be 11.

Answer:

11 oranges per minute

Step-by-step explanation:

Answer:

the answer is 5 hope this could help

The employee's net take-home pay is $2597.

The gross salary is the total salary before any deductions are made.

In this case, the employee's bi-weekly gross salary is $3000.

Deductions are made from the gross salary to arrive at the net take-home pay.

The deductions include income tax, CPP, El, and union dues.

The total deductions can be calculated by adding the individual deductions:

Total deductions = Income tax + CPP + El + union dues

Total deductions = $218 + $99 + $36 + $50Total deductions = $403

The net take-home pay is the amount that the employee receives after all the deductions have been made.

It can be calculated by subtracting the total deductions from the gross salary:

Net take-home pay = Gross salary - Total deductions

Net take-home pay = $3000 - $403Net take-home pay = $2597

Therefore, the employee's net take-home pay is $2597.

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Answer:

35x+72y

Step-by-step explanation:

\((38x+61y)-(3x-11y)\\38x+61y-3x+11y\\35x+72y\\\)

Brainliest if it helped you!

Answer:

please see the picture above

Answer:

Either x/9 or 0.75 per cookie

Step-by-step explanation:

Let the number of cookies in a box be x.

The cost of x=9$

Then, the cost of one cookie= x/9

alternatively:

Considering one box contains 12 cookies,

The cost of a box of cookies= 9$

Then, the cost of one cookie= 9/12=0.75

Answer:

Step-by-step explanation:

These are the values we will need:

  f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66

  f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6

  g(-5) = -5 -1 = -6

  g(4) = 4 -1 = 3

__

(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)

(f+g)(-5) = 60

__

(f-g)(4) = f(4) -g(4) = -6 -3

(f-g)(4) = -9

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

Answer:

$1.75

Step-by-step explanation:

Set up a system of equations where x is the cost of a corndog and y is the cost of a coke:

3x + y = 7.1

2x + 2y = 7.2

Solve by elimination by multiplying the top equation by -2

-6x - 2y = -14.2

2x + 2y = 7.2

Add them together:

-4x = -7

x = 1.75

So, the cost of one corndog is $1.75

Sorry I tried doe

(The answer I got would be in the negatives, I don't think that would be correct)

Answer:

close to 0

Step-by-step explanation:

Our probability P(E) = number of desired outcome/number of possible outcomes.

Since we have a six-sided die, the number of possible outcomes = 6.

Also, since we have a number less than 2, which that number is 1, the number of desired outcomes is 1.

So probability of obtaining a number less x than 2 is the probability of obtaining a 1 = P(1).

So, P(1) = 1/6 = 0.1667

Since P(1) = 0.1667, it is close to 0.

So, the answer is close to 0.

Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.

An equation is referred to as linear when all of the highest powers of the variables are equal to one. They are connected via links. A one-degree equation is another term for this kind of issue. You will learn how to solve a linear equation expression in one or two variables by following the steps in the paragraphs that follow.

Here,

we must use the equation to determine how many millimeters more Mike should have than George.

y= 4.5x + 0.977 x

where y=arm length

where x = height

Given:

Mike is 175 cm tall, so x=x.

Mike's arm span is therefore y=4.5 x + 0.977 x.

= 4.5* (175) + 0.977* (175) (175)

= 787.5 + 170.975

= 958.475 cm

George is 170 cm tall, so x=x.

George's arm span is therefore y=4.5 x + 0.977 x.

= 4.5* (170) + 0.977* (170) (170)

= 765 + 166.09

= 931.09 cm

Mike's arm span is greater than George's arm span because Mike has a larger arm span.

= 958.475 - 931.09

= 27.385 cm.

Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.

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Answer:

54

Step-by-step explanation:

The sample size required to estimate the population mean with a margin of error of E = 0.2 at a 95 percent level of confidence given that the population standard deviation is σ = 1 is 97.Option C) 97 is the correct answer.

What is the formula for the minimum sample size?For this problem, the formula for the minimum sample size is expressed as follows:$$n=\frac{z^2*\sigma^2}{E^2}$$Where:n is the sample size.z is the z-score which corresponds to the level of confidence.σ is the population standard deviation.E is the margin of error.Substituting the values given in the problem,$$\begin{aligned}n&=\frac{z^2*\sigma^2}{E^2} \\ &=\frac{1.96^2*1^2}{0.2^2} \\ &=\frac{3.8416}{0.04} \\ &=96.04 \\ &\approx97\end{aligned}$$Therefore, the minimum sample size needed is 97.

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It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.

To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.

The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.

Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.

Using the formula Time = Distance / Speed, we can determine the time as follows:

Time = (Thickness of Oceanic Crust) / (Speed)

Time = 10 km / 100 km/hr = 0.1 hr

Converting 0.1 hour to minutes, we have:

Time = 0.1 hr * 60 min/hr = 6 minutes

The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.

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Answer:

67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

Answer:

what's the question

Step-by-step explanation:

I don't see a questions ton

Answer:

WPB

Step-by-step explanation:

Because it's larger than 90 degrees. And none of the other angles are obtuse.

Answer:

the answer is WPB!!!!!!

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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Answer:

y = 7

Step-by-step explanation:

3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer

Answer:

7

Step-by-step explanation:

One possible function that is a 3-to-1 correspondence from the set {1, 2, ..., 30} to {1, 2, ..., 10} is f(x) = ⌈x/3⌉.where ⌈x/3⌉ denotes the ceiling function of x/3, which rounds up x/3 to the nearest integer.

Intuitively, the function groups every three consecutive integers in the domain {1, 2, ..., 30} into the same integer in the range {1, 2, ..., 10}.

Specifically, the first three integers 1, 2, 3 in the domain map to 1 in the range, the next three integers 4, 5, 6 map to 2, and so on, until the last three integers 28, 29, 30 map to 10.

To see that this function is indeed a 3-to-1 correspondence, we can note that for any integer k in the range {1, 2, ..., 10}, there are three integers in the domain that map to it.

Specifically, if k = 1, then the integers 1, 2, 3 in the domain map to it; if k = 2, then the integers 4, 5, 6 map to it; and so on, until if k = 10, then the integers 28, 29, 30 map to it.

Conversely, for any integer x in the domain {1, 2, ..., 30}, the function f(x) maps it to an integer in the range {1, 2, ..., 10}, and this integer is unique. Therefore, the function f is a 3-to-1 correspondence from the domain to the range.

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Answer:

jjjjzkzkskdndjdididndjid

Answer:

6x+ 21

Step-by-step explanation:

Find the area of the whole thing

find the are of the small shape

minus this from the whole thing

whole thing = (x+5)(x+5)   = x^2+ 2x+ 25

small = (x-2)(x-2) = x^2 -4x +4

(x^2+ 2x+ 25)-(x^2 -4x +4)= 6x+ 21

When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.

When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:

1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.

2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.

3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.

4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.

5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.

6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.

7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.

By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.

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Basically we need to find the distance between A and B, so: