Identify the step for solving the following equation for r : r+(-8)=10

Answer:

- 13

Step-by-step explanation:

Solving

\( \frac{(x - 3)}{4} = \frac{(2x + 2)}{6} \\ \\ cross \: multiplying \\ 6 \times (x - 3) = 4 \times (2x + 2) \\ 6x - 18 = 8x + 8 \\ 6x - 8x = 8 + 18 \\ - 2x = 26 \\ dividing \: bothsides \: by \: - 2 \\ \frac{ - 2x}{ - 2} = \frac{26}{ - 2} \\ x = - 13\)

\( \implies \: \sf{ \dfrac{x \: - \: 3}{4} \: = \: \dfrac{2x \: + \: 2}{6} } \\ \\ \implies \: \sf{6( x \: - \: 3) \: = \:4(2x \: + \: 2)} \: \\ \\ \implies \: \sf{6 \times ( x \: - \: 3) \: = \: (2x \: + \: 2)}\\ \\ \implies \: \sf{6x \: - \: 18 \: = \:8x \: + \: 8}\\ \\ \implies \sf{6x \: - \: 8x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \: 26}\\ \\ \implies \sf{ - x \: = \: \dfrac{26}{2} }\\ \\ \implies \sf{ - x \: = \: \cancel{\dfrac{26}{2} }}\\ \\ \implies \sf{ - x \: = \: 13}\\ \\ \implies \red{\bf{ x \: = \: - 13}}\)

Answer:

235

Step-by-step explanation:

The equation of the line passing through point P(4,-6) and perpendicular to the line y = -3 is x = 4.

A number that identifies the direction and steepness of a line is its slope or gradient. The slope of the straight line is written as y=mx+c where m is the slope and c is the y-intercept.

Given the equation of a line is y = -3 and point P(4,-6).

From the given equation, we can say that y is a horizontal line. The line perpendicular to this horizontal line will be a vertical line. The equation of the line perpendicular to y is of the form x = n where n is the x-coordinate of the point passing through this line.

Here, the x-coordinate is 4 from the point (4,-6). Then, the required line is x=4.

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The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220

According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm

random sample size, n= 49 steel bolts is selected

Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm

Let z = (x-μ) / (σ/√n )         (1)

using formula (1) and when the sample mean differs from the population mean by more than 1.8mm

z = 1.8/(8/√49 )

⇒z = 63/40 = 1.575

The probability that the sample mean will differ from the population mean by more than 1.8 mm

P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822

The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220

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Answer:

what exactly are we classifying here, angle? Shape?

You got to set it up to boys to girls

Answer:

0,1

Step-by-step explanation:

simplest form

The probability of a 5-card hand having at least one of each of the four values: Ace, King, Queen, and Jack is 0.00139, while the probability of the same number of hearts and spades is 0.2907.

(a) At least one of each of the four values: Ace, King, Queen, and Jack:

- There are 4 ways to choose an Ace, 4 ways to choose a King, 4 ways to choose a Queen, and 4 ways to choose a Jack.
- There are 44 ways to choose the fifth card, which can be any card except an Ace, King, Queen, or Jack.
- There are a total of {_2^{52}}C  = 2,598,960 possible 5-card hands.
- Therefore, the probability of having at least one of each of the four values is (4 x 4 x 4 x 4 x 44) / 2,598,960 = 0.00139.

(b) The same number of hearts and spades:

- There are three possible scenarios: 2 hearts and 2 spades, 3 hearts and 3 spades, or 4 hearts and 4 spades.
- For 2 hearts and 2 spades, there are {_2^{13}}C\ x\ {_2^{13}}C\ x\ {_1^{26}}C = 2,381,676 ways to choose the cards.
- For 3 hearts and 3 spades, there are  {_3^{13}}C\ x\ {_3^{13}}C\ x\ {_2^{26}}C= 13,090,704 ways to choose the cards.
- For 4 hearts and 4 spades, there are {_4^{13}}C\ x\ {_4^{13}}C\ x\ {_3^{26}}C = 8,715,072 ways to choose the cards.
- The total number of ways to have the same number of hearts and spades is 2,381,676 + 13,090,704 + 8,715,072 = 24,187,452.
- Therefore, the probability of having the same number of hearts and spades is 24,187,452 / 2,598,960 = 0.2907.

Note: The question is incomplete. The complete question probably is: What is the probability that a 5-card hand has (a) At least one of each of the four values: Ace, King, Queen, and Jack? (b) The same number of hearts and spades?

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The tax amount for each filing status and taxable income amount is for a single individual with a taxable income of $57,723, the tax amount is $8,417.62. For a head of household with a taxable income of $60,950, the tax amount is $6,697.28. For married filing jointly with a taxable income of $63,999, the tax amount is $5,883.64. For married filing separately with a taxable income of $57,521, the tax amount is $3,633.48.

The tax for each filing status and taxable income amount can be determined using the 2021 tax brackets and rates provided by the IRS.

For a single filer with a taxable income of $57,723, the tax would be calculated as follows

The first $9,950 of income is taxed at 10%: $9,950 x 0.10 = $995

The income between $9,951 and $40,525 is taxed at 12%: ($40,525 - $9,951) x 0.12 = $3,633.48

The income between $40,526 and $57,723 is taxed at 22%: ($57,723 - $40,526) x 0.22 = $3,789.14

The total tax is the sum of these amounts: $995 + $3,633.48 + $3,789.14 = $8,417.62

Therefore, the tax for a single filer with a taxable income of $57,723 is $8,417.62.

For a head of household filer with a taxable income of $60,950, the tax would be calculated as follows

The first $14,200 of income is taxed at 10%: $14,200 x 0.10 = $1,420

The income between $14,201 and $54,200 is taxed at 12%: ($54,200 - $14,201) x 0.12 = $4,080.12

The income between $54,201 and $60,950 is taxed at 22%: ($60,950 - $54,201) x 0.22 = $1,197.16

The total tax is the sum of these amounts: $1,420 + $4,080.12 + $1,197.16 = $6,697.28

Therefore, the tax for a head of household filer with a taxable income of $60,950 is $6,697.28.

For a married filing jointly couple with a taxable income of $63,999, the tax would be calculated as follows

The first $19,900 of income is taxed at 10%: $19,900 x 0.10 = $1,990

The income between $19,901 and $81,050 is taxed at 12%: ($81,050 - $19,901) x 0.12 = $7,218.48

The income between $81,051 and $63,999 is taxed at 22%: ($63,999 - $81,051) x 0.22 = -$3,324.84 (negative because this income range falls below the previous one)

The total tax is the sum of these amounts: $1,990 + $7,218.48 - $3,324.84 = $5,883.64

Therefore, the tax for a married filing jointly couple with a taxable income of $63,999 is $5,883.64.

For a married filing separately couple with a taxable income of $57,521, the tax would be calculated as follows:

The first $9,950 of income is taxed at 10%: $9,950 x 0.10 = $995

The income between $9,951 and $40,525 is taxed at 12%: ($40,525 - $9,951) x 0.12 = $3,633.48

The income between $40,526 and $57,521

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Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

Answer:

10

Step-by-step explanation:

f(x) =3x-x=2x,

f(7-2)=f(5)= 2*5=10

Answer:

A. $32, 890

Step-by-step explanation:

add 840+200= 1040

33400+1040= 34440

34440 - (1450+100)=

32,890

A BASE jumper will fall 324 feet in 4.5 seconds.

What are velocity ?

velocity is a unit of measurement for the Distance an object travels in a

the predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.

We can use the given function to find out how far a BASE jumper will fall in 4.5 seconds:

d = 16t²

where d is the distance (in feet) and t is the time (in seconds).

Substitute t = 4.5 into the formula:

d = 16(4.5)²

d = 324

Therefore, a BASE jumper will fall 324 feet in 4.5 seconds.

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The population of Pakistan is calculated as; 1.82 × 10⁸

The parameters for the population are;

Japan Population; J = 1.30 × 10⁸

Brazil Population; B = 1.95 × 10⁸

Now, the ratio of J:B = x : x + 5

Thus;

(1.30 × 10⁸)/(1.95) × 10⁸ = x/(x + 5)

Solving this gives x = 10

Now, we are told that;

J:P = x : x + 4

Where P is pakistan population

Thus;

(1.30 × 10⁸)/P = 10/(10 + 4)

(1.30 × 10⁸)/P = 10/14

P = 14(1.30 × 10⁸)/10

P = 1.82 × 10⁸

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Answer:

Step-by-step explanation:

The cube root of 15,409,000 = 248.84 yards.

There are 1760 yards in a mile

One edge of a cube = 248.84 / 1760 = .141386 miles.

So a cube would be .00283cubic miles. Your answer does not reach a hundredth place, I don't think.

Answer:

C = -5

Step-by-step explanation:

Functions

F(x) is defined as:

\(\displaystyleF(x)=\frac{C-x}{D-x}\)

We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:

D - (-2) = 0

Solving:

D = -2

Substituting:

\(\displaystyleF(x)=\frac{C-x}{-2-x}\)

We also know F(-1) = 4:

\(\displaystyle \frac{C-(-1)}{-2-(-1)}=4\)

\(\displaystyle \frac{C+1}{-2+1}=4\)

\(\displaystyle \frac{C+1}{-1}=4\)

Multiplying by -1

C + 1 = -4

Solving for C:

C = -5

Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.

To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.

By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.

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Answer:

1. yes

Step-by-step explanation:

2. no or not enough

3.no.

4.no or not enough

5. yes

6. no or not enough...

I hope this helps. (I'm not sure what nit enough info means.)

Answer:

1. No

2. No

3. Yes

4. Not enough info

5. No enough info

6. Yes

I really hope this helps! Good luck!

Answer:

0.29

Step-by-step explanation:

12 divide by $3.48 is 0.29

Answer:

56 feet

Step-by-step explanation:

This is a trigonometry problem. It makes use of tangent. You can take the tangent of an angle and it will equal the side opposite divided by the side adjacent that isn't the hypotenuse.

In this case the angle is 35 degrees.

Tangent of the angle = opposite/ adjacent side

Tan(35) = (x)/(80)

Tan(35) = 0.7 so

(0.7)= (X)/(80)

Using algebra each side can be multiplied by 80.

(80)(.7)=X

56=x

X is in feet, so X is equal to 56 feet.

Hope this helps!

To solve the exercise some basic rules are used

1) The number is rounded to the nearest hundred if the last two digits of the number are 50 or more.

Answer:

it's ither B or C

Step-by-step explanation:

it can't a low number bc there is 600 in 1 spot so ye

The shape above is a concave kite.

A kite is a quadrilateral with in which two sets of adjacent sides are congruent (equal in length).

Therefore, the properties of the shape can be used to know the exact kind of shape,

Properties of a kite:

According to the properties, the shape above is a concave kite because the adjacent sides are congruent.

What is shape above?

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Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

Option C, y = e^(x+y) + x^2 + 3x - 2, requires the use of implicit differentiation to find dy/dx.

The expression that requires the use of implicit differentiation to find dy/dx is option C: y = e^(x+y) + x^2 + 3x - 2.

Implicit differentiation is a technique used to differentiate equations where the dependent variable y is not explicitly expressed as a function of x. It involves differentiating both sides of the equation with respect to x, treating y as an implicit function of x.

Let's apply implicit differentiation to option C:

Starting with the equation: y = e^(x+y) + x^2 + 3x - 2

To find dy/dx, we differentiate both sides of the equation with respect to x:

d/dx(y) = d/dx(e^(x+y) + x^2 + 3x - 2)

Using the chain rule on the right side of the equation, we get:

dy/dx = d/dx(e^(x+y)) + d/dx(x^2) + d/dx(3x) - d/dx(2)

The derivative of e^(x+y) with respect to x requires the use of implicit differentiation. We treat y as an implicit function of x and apply the chain rule:

d/dx(e^(x+y)) = e^(x+y) * (1 + dy/dx)

The derivatives of the remaining terms on the right side are straightforward:

d/dx(x^2) = 2x

d/dx(3x) = 3

d/dx(2) = 0

Substituting these derivatives back into the equation, we have:

dy/dx = e^(x+y) * (1 + dy/dx) + 2x + 3

Next, we isolate dy/dx on one side of the equation by moving the term involving dy/dx to the left side:

dy/dx - e^(x+y) * dy/dx = e^(x+y) + 2x + 3

Factoring out dy/dx, we get:

(1 - e^(x+y)) * dy/dx = e^(x+y) + 2x + 3

Finally, we solve for dy/dx:

dy/dx = (e^(x+y) + 2x + 3) / (1 - e^(x+y))

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By using testing of hypothesis, it can be concluded that

There is a systematic error in atleast one of the methods

First option is correct

What is testing of hypothesis?

Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.

A t test can be used to compare results from two different methods.

Here, the difference in the results is significant, it means that

So the null hypothesis has to be rejected

There is a systematic error in atleast one of the methods

First option is correct

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Complete Question

The complete question has been attached

Answer:

The answer is D

Step-by-step explanation:

because if you do the methoes method you know that it rules out 1 and 2 and 3 after you do that its just between C and D, for the caunususicon it has to be D, that is why i think its D. hope this helps

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

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