can someone solve n/7-12=5n+5 step by step pls

Answer:

Slope: 5

Step-by-step explanation:

Mark as brainllest

Answer:

x= 1 /5 y+ 4 /5

Step-by-step explanation:

Let's solve for x.

10x−2y=8

Step 1: Add 2y to both sides.

10x−2y+2y=8+2y

10x=2y+8

Step 2: Divide both sides by 10.

10x /10 = 2y+8 /10 x= 1 /5 y+ 4 /5

Answer:

see explanation

Step-by-step explanation:

since BD = DC then Δ BCD is isosceles with base angles being congruent

∠ C = ∠ 2 = \(\frac{180-100}{2}\) = \(\frac{80}{2}\) = 40°

since ∠ 1 = ∠ 2 then ∠ 1 = 40° , so

∠ B = ∠ 1 + ∠ 2 = 40° + 40° = 80°

the sum of the 3 angles in Δ ABC = 180° , then

∠ A = 180° - ∠ B - ∠ C = 180° - 80° - 40° = 180° - 120° = 60°

then

∠ A = 60° , ∠ B = 80° , ∠ C = 40°

Answer:

e

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

I almost thought this was going to be Pythagorean Theorem, but no.

Use Cosine Law:

cos θ =  \(\frac{10^2 + 21^2 - 17^2}{2(10)(21)}\)

θ = cos−1(0.6)

θ = 53.130...

Now use the SOHCAHTOA ratio for sine (\(\frac{opposite}{hypotenuse}\)) to find x now that you have one angle:

sin θ = \(\frac{x}{10}\)

x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)

x = 8

Answer:

8x + 10 = (?)

step 1  8x + 10 x 4 = 8x + 40

step 2 8x + 40 = 8( x + 5)

step 3  should be an available option, or somewhere close to it.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

If a kudzu plant takes root in the middle of May and grows 3ft per day, it will reach a height of 90ft in mid-June.

To find out in which month the kudzu plant will reach a height of 90ft, we need to calculate the number of days it will take to grow to that height.

Since the kudzu plant grows 3ft per day, we can divide the desired height (90ft) by the growth rate (3ft/day) to get the number of days it will take to reach 90ft.
90ft / 3ft/day = 30 days

Now, let's determine the starting month. If the kudzu plant takes root in the middle of May, we can assume that it will take 15 days for it to reach the end of May.

So, it will take a total of 30 + 15 = 45 days for the kudzu plant to grow to a height of 90ft.
Now, let's determine the month. Since there are 30 or 31 days in a month, depending on the month, we need to divide the total number of days (45) by the number of days in a month to get the answer.
45 days / 30 days/month = 1.5 months

Since 1.5 months is equivalent to approximately 45 days, the kudzu plant will reach a height of 90ft around mid-June.

If a kudzu plant takes root in the middle of May and grows 3ft per day, it will reach a height of 90ft in mid-June.

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The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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Answer:

y=-0.5x+2 (-4,0) (0,2)   y=0.5x+6 (0,6)(12,0)

Step-by-step explanation:

Desmos

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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Answer:

(4, -2)

Step-by-step explanation:

When rotating a point 180° about the origin, the coordinates of the image are the negatives of the coordinates of the preimage.

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 1 kg/m³

The conversion value:

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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The solution of the algebraic expression (8h-1)-(h+ 3) is -25.

Given:

The given expression in the question is:

(8h-1)-(h+ 3); Value of h = -3​

Putting the value of h in the expression

8(-3)-1 - ((-3)+3)

= -24-1 -0

= -25

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(a) For the differential equation x(1-x)y" + 2(1-2x)y' - 2y = 0, we can use the power series method to find the solution.

Assuming y = Σaₙxⁿ, we can find the recurrence relation for the coefficients aₙ and determine the solution. (b) The differential equation 2x(x−1)y"−(x+1)y’ +y=0 can be solved using the power series method as well. We assume y = Σaₙxⁿ and find the recurrence relation for the coefficients aₙ.

(c) For the differential equation 4xy" + 2y + y = 0, we can use the power series method to find the solution. Assuming y = Σaₙxⁿ, we find the recurrence relation for the coefficients aₙ and determine the solution. (d) The differential equation (x + 1)x²y" - (2x+1)xx' + (2x + 1)y=0 can be solved using the Frobenius method. We assume y = xⁿΣaₙxⁿ and find the recurrence relation for the coefficients aₙ.

(a) Assuming y = Σaₙxⁿ, we substitute this into the differential equation and solve for the recurrence relation for the coefficients aₙ. By comparing the coefficients of like powers of x, we can determine the values of aₙ. Then, using the reduction of order method, we can find the second linearly independent solution.

(b) Similar to (a), we assume y = Σaₙxⁿ and substitute it into the differential equation. By comparing the coefficients, we find the recurrence relation for the coefficients aₙ. The solution can be obtained by determining the values of aₙ. (c) We assume y = Σaₙxⁿ and substitute it into the differential equation. By comparing the coefficients, we find the recurrence relation for the coefficients aₙ. Solving the recurrence relation, we obtain the values of aₙ and thus the solution to the differential equation.

(d) Using the Frobenius method, we assume y = xⁿΣaₙxⁿ and substitute it into the differential equation. By comparing the coefficients, we find the recurrence relation for the coefficients aₙ. Solving the recurrence relation, we determine the values of aₙ and obtain the solution to the differential equation.

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Answer:

8 < 2

Step-by-step explanation:

8x + 5 > 15

8x > 15 - 5

8x > 10

x < 2

cmiiw

The probability that it will be used to make a cold sandwich is  option a: 16/27.

The full amount of unique sandwich options is the sum of the hot and cold options can be sum up as:

Total options = Hot + Cold

                     = 5+9+6+2+10+5+8+9

                               = 54

Note that the amount of unique cold sandwich are the sum of the options that are: cold bread, deli meat, cheese, and sauce so,

Number of cold options =

 Cold = 10+5+8+9

        = 32

So, the probability that a random item will be used to make a cold sandwich will be:

Probability of cold sandwich = Number of cold options / Total options

                                              = 32/54

                                                  = 16/27

Hence the probability that it  will be used to make a cold sandwich is 16/27.

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See text below

The table shows the number of unique sandwich options available at

a local store in both cold and hot categories:

                        Hot    Cold

Bread                 5     10

Deli Meat          9        5

Cheese            6          8

Sauce             2           9

A random item is chosen, what is the probability it is used to make a cold sandwich?

16/27

9/22

1/2

11/27

We need to roll the die at least 5 times to ensure that the probability is at least 2/3 that at least one 2 will appear.

To calculate the probability of rolling a 2 on a fair six-sided die, we first need to know the probability of rolling any number on a single roll, which is 1/6.

Since each roll of the die is independent of the previous roll, we can use the formula for the probability of independent events occurring together to find the probability of rolling a 2 at least once in a certain number of rolls.

Let's call the probability of rolling a 2 at least once in n rolls "P(n)". We can find P(n) using the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. So, the probability of not rolling a 2 in n rolls is (5/6)^n, since there are 5 possible outcomes (1, 3, 4, 5, or 6) on each roll that is not 2. Therefore, we can write:

P(n) = 1 - (5/6)^n

We want to find the minimum number of rolls needed to ensure that P(n) is at least 2/3, or 0.667. In other words, we want to find the smallest value of n that satisfies the inequality:

P(n) ≥ 2/3

Substituting the formula for P(n), we get:

1 - (5/6)^n ≥ 2/3

By multiplying both sides by -1 and rearranging, we get:

(5/6)^n ≤ 1/3

Taking the natural logarithm of both sides, we get:

n ln(5/6) ≤ ln(1/3)

Dividing both sides by ln(5/6), we get:

n ≥ ln(1/3) / ln(5/6)

Using a calculator, we find that:

n ≥ 4.81

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sin z= z/y

cos z= x/y

tan z= z/x

Answer:

>

Step-by-step explanation:

Because the question is like the 36 □ 25 what the answer and its > yourwelcome

The volume of a cylinder with height 9.3 m, if the perimeter of its base is 27.2m is given as 545.25 m³.

One way to think of a cylinder is as a grouping of several congruent discs piled one on top of the other. We determine the area occupied by each disc separately, put them together, and then get the area filled by a cylinder. As a result, the product of the base area and height may be used to determine the cylinder's volume.

The volume of the cylinder = πr²h

We have perimeter of base as 27.2m that is the circumference of the circle so

2πr = 27.2

r = 27.2/2π

r = 4.32 m

Putting value of r in Volume equation we get,

V = πr²h

V = π(4.32)²(9.3)

V = 545.25 m³ or cubic meter.

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Complete question:

What is the volume of a cylinder with height 9.3 m, if the perimeter of its base is 27.2 m?

The water level drops by approximately 13.61 cm in the cylindrical tank when 11 liters of water are drawn off.

To calculate how far the water level drops in a cylindrical tank when a certain volume of liquid is drawn off, we can use the formula for the volume of a cylinder, which is given by:

V = πr^2h

where;

Given that the internal diameter of the tank is 35 cm, we can find the radius by dividing it by 2:

r = 35 cm / 2 = 17.5 cm

We are also given that 11 liters (11 L) of water is drawn off from the tank. To convert liters to cubic centimeters (cm^3), we can use the conversion 1 L = 1000 cm^3.

Therefore, 11 L is equal to:

11 L × 1000 cm^3/L = 11000 cm^3

Now we can rearrange the formula for the volume of a cylinder to solve for the change in height (Δh) of the water level:

V = πr^2Δh

Δh = V / (πr^2)

Plugging in the values we have:

Δh = 11000 cm^3 / (3.14159 × (17.5 cm)^2)

Calculating the result, we get:

Δh ≈ 13.61 cm

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Step-by-step explanation:

This is a word problem that we must translate to mathematical expression before we can solve.

let the individual saving be the first letters of the names

Jada= J

Lin= L

Elena= E

1. Jada saved $20 less than Lin

    J=L-20

2. Lin saved 3 times as much money as Elena

   L= 3E

3. Hence Elena saved

   E

Together they saved $120.

hence

(L-20)+3E+E= 120

L-20+3E+E= 120

collecting like terms we hav

L+4E=120+20

L+4E= 140

but we know that L= 3E

3E+4E= 140

7E= 140

divide both sides by 7 we have

E= 140/7

E= $20

This means Elena saves $70

also  L= 3E

L= 3*20

L= $60

this means that Lean saved $60

also  J=L-20

J= 60-20

J= $40

This means that Jada saved $40

The orthonormal basis B* = {v1, v2, v3}B* = {(2/7, 3/7, 6/7), (95/21, 343/147, 790/441), (-247664/20349, 224997/46683, 1463161/92313)}

Using Gram-Schmidt Algorithm : Make an orthogonal basis B* from the given basis B, using the appropriate inner product. Assume the standard inner product unless one is given.

2. B ∈ R3 ; B = {(2, 3, 6), (5 13, 10), (−80, 27, 5)}

The Gram-Schmidt algorithm constructs an orthogonal basis {v1, ..., vk} from a linearly independent basis {u1, ..., uk} of the subspace V of a real inner product space with inner product (,). This algorithm is used to construct an orthonormal basis from a basis {v1, ..., vk}.

The first vector in the sequence is defined as:v1 = u1

The second vector in the sequence is defined as:v2 = u2 - proj(v1, u2), where proj(v1, u2) = (v1, u2)v1/||v1||²where (v1, u2) is the inner product between v1 and u2.

The third vector in the sequence is defined as:v3 = u3 - proj(v1, u3) - proj(v2, u3), where proj(v1, u3) = (v1, u3)v1/||v1||², proj(v2, u3) = (v2, u3)v2/||v2||²

Using the Gram-Schmidt algorithm:

Let the given basis be B = {(2, 3, 6), (5, 13, 10), (-80, 27, 5)}

Firstly, Normalize u1 to get v1v1 = u1/||u1|| = (2, 3, 6)/7 = (2/7, 3/7, 6/7)

Next, we need to get v2v2 = u2 - proj(v1, u2)v2 = (5, 13, 10) - ((2/7)(2, 3, 6) + (3/7)(3, 6, 7))v2 = (5, 13, 10) - (4/7, 6/7, 12/7) - (9/7, 18/7, 54/7)v2 = (5, 13, 10) - (73/21, 108/49, 204/147)v2 = (95/21, 343/147, 790/441)

Lastly, we need to get v3v3 = u3 - proj(v1, u3) - proj(v2, u3)v3

= (-80, 27, 5) - ((2/7)(2, 3, 6) + (3/7)(3, 6, 7)) - ((95/21)(95/21, 343/147, 790/441) + (108/49)(5, 13, 10))v3

= (-80, 27, 5) - (4/7, 6/7, 12/7) - (9025/9261, 4115/2401, 23700/9261) - (540/49, 1404/49, 1080/49)v3

= (-247664/20349, 224997/46683, 1463161/92313)

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The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

The correct answer is 5b²-b-2