Solve y- 15 =-3.
A-12
B 12
C-18
D-18

Answer:

The y could be 9 and the b could be 9 so it would be 9+9 = 18

Step-by-step explanation:

9+9 = 18

Hope this helps.

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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Answer:

on desmos

Step-by-step explanation:

Answer:

30 C

Step-by-step explanation:

How to find difference: t1 - t2

Subsitute:

18 - (-12)

Double negative signs make a positive.

18 + 12

30

The half-life of the radioactive goo is approximately 179.56 minutes, and approximately 106.17 grams of goo will remain after 23 minutes.

To find the half-life of the radioactive goo, we can use the formula for exponential decay:

G(t) = G₀ * e^(-kt),

where:

G(t) is the amount of goo remaining at time t,

G₀ is the initial amount of goo,

k is the decay constant,

t is the time.

In the given question, the initial amount of goo (G₀) is 116 grams, and the amount remaining after 180 minutes is 7.25 grams. We can plug these values into the formula and solve for the decay constant (k).

7.25 = 116 * e^(-k * 180).

To find the value of k, we need to isolate it. Divide both sides of the equation by 116:

e^(-k * 180) = 7.25 / 116.

Next, take the natural logarithm (ln) of both sides:

ln(e^(-k * 180)) = ln(7.25 / 116).

Using the property of logarithms, ln(e^x) simplifies to x:

-180k = ln(7.25 / 116).

Now, divide both sides by -180:

k = ln(7.25 / 116) / -180.

Using a calculator, we can evaluate this expression:

k ≈ -0.00385.

The half-life (t½) is related to the decay constant (k) by the formula:

t½ = ln(2) / k.

Substituting the value of k we found earlier:

t½ = ln(2) / (-0.00385).

Again, using a calculator, we can compute this:

t½ ≈ 179.56 minutes.

Therefore, the half-life of the radioactive goo is approximately 179.56 minutes.

Now, to determine the amount of goo remaining after 23 minutes, we can use the formula G(t) = G₀ * e^(-kt) and plug in the values:

G(23) = 116 * e^(-0.00385 * 23).

Evaluating this expression:

G(23) ≈ 106.17 grams.

Hence, approximately 106.17 grams of goo will remain after 23 minutes.

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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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Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

Dilation

Step-by-step explanation:

A rotation followed by a dilation is a similarity transformation. Therefore, the two triangles are similar.

. . .

Hope this helped! Goodluck on what you're doing and stay safe! ♥♥♥

The upper and lower control limits for an X-bar chart and R-chart is as follows:
UCL for X-bar chart = 171.54, LCL for X-bar chart = 120.12
UCL for R-chart = 79.87, LCL for R-chart = 0

Therefore, corrective action is needed.

The upper and lower control limits for an X-bar chart and R-chart can be determined using the following formulas:

Upper Control Limit (UCL) for X-bar chart = X-bar + A2 * R-bar
Lower Control Limit (LCL) for X-bar chart = X-bar - A2 * R-bar

Upper Control Limit (UCL) for R-chart = D4 * R-bar
Lower Control Limit (LCL) for R-chart = D3 * R-bar

Where X-bar is the average of the sample means, R-bar is the average of the sample ranges, A2 is a constant based on the sample size, and D3 and D4 are constants based on the sample size.

First, we need to calculate the average of the sample means (X-bar) and the average of the sample ranges (R-bar):

X-bar = (120 + 90 + 150 + 130 + 110 + 140 + 200 + 180 + 175 + 165 + 155 + 140) / 12 = 145.83

R-bar = ((150 - 90) + (140 - 110) + (200 - 175) + (165 - 140)) / 4 = 35

Next, we need to find the values of A2, D3, and D4 for a sample size of four:

A2 = 0.729
D3 = 0
D4 = 2.282

Now we can calculate the upper and lower control limits for the X-bar chart and R-chart:

UCL for X-bar chart = 145.83 + (0.729 * 35) = 171.54
LCL for X-bar chart = 145.83 - (0.729 * 35) = 120.12

UCL for R-chart = 2.282 * 35 = 79.87
LCL for R-chart = 0 * 35 = 0

The average of these observations is 197.25, which is above the upper control limit for the X-bar chart (171.54). Therefore, corrective action is needed.

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Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

Step-by-step explanation:

I am not sure who made the dots on the charts, but they are wrong.

y = 1/2 x + 3

domain means all valid values for x.

range means all valid values for y (the functional results).

x = 0

y = 1/2 × 0 + 3 = 3

x = 1

y = 1/2 × 1 + 3 = 3.5

x = 2

y = 1/2 × 2 + 3 = 4

x = 3

y = 1/2 × 3 + 3 = 4.5

x = 4

y = 1/2 × 4 + 3 = 5

so, the range is 3, 3.5, 4, 4.5, 5

y = x - 6

x = 10

y = 10 - 6 = 4

x = 12

y = 12 - 6 = 6

x = 14

y = 14 - 6 = 8

x = 16

y = 16 - 6 = 10

x = 18

y = 18 - 6 = 12

so, the range is 4, 6, 8, 10, 12

Answer:

The answer would be 2,240

Step-by-step explanation:

Answer:

2240

Step-by-step explanation:

1. 5x4=20x7 and keep on going

Option B is correct. Store A with 20% off and 6.5% sales tax allows Scott to purchase the sofa for the least amount of money, $426.

Store A with 20% off and 6.5% sales tax.

The discounted price at Store A.

Discounted price = Original price - (Original price × Discount percentage)

Discounted price = $500 - ($500 × 0.20)

Discounted price = $500 - $100

Discounted price = $400

The sales tax amount.

Sales tax = Discounted price ×Sales tax rate

Sales tax = $400×0.065

Sales tax = $26

The total cost at Store A.

Total cost = Discounted price + Sales tax

Total cost = $400 + $26

Total cost = $426

Store B with 30% off and $85 shipping fee (no sales tax).

The discounted price at Store B.

Discounted price = Original price - (Original price × Discount percentage)

Discounted price = $500 - ($500 × 0.30)

Discounted price = $500 - $150

Discounted price = $350

Add the shipping fee to the discounted price.

Total cost = Discounted price + Shipping fee

Total cost = $350 + $85

Total cost = $435

So, the total cost at Store A is $426 is less than the total cost at Store B ($435).

Hence, Store A with 20% off and 6.5% sales tax allows Scott to purchase the sofa for the least amount of money. Option B is correct.

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Complete question:

Scott wanted to bjy a sofa which originally cost $500.Store A was selling it for 20% off plus 6.5% sales tax.Store B was selling it for 30% off and no sales tax but scott was required to pay an $85 shipping fee.Which option would allow Scott to purchase the sofa for the least amount of money?

(A) Store A at $400

(B) Store A at $426

(C) store B at $350

(D) Store B at $435

Answer:

1)

Step-by-step explanation:

We just need to find a rate where the ratio of miles to gallons is 13:1

This only works for 1) 26 miles 2 gallons since 26/2 = 13/1

Answer:

I think it would be the first one. 26 miles 2 gallons

Step-by-step explanation:

Every gallon would be 13 miles. If you multiply 13 by 2 and 1 gallon by 2, you'll get 26 miles 2 gallons.

Answer:

45

Step-by-step explanation:

Let's do it for smaller numbers first.

0 people -> 0 high fives

1 people -> 0 high fives

2 people -> 1 high fives

3 people -> person 1 high fives 2 then 3

And person 2 high fives 3

->2+1= 3 high fives

4 people -> person 1 high fives 2,3, then 4

And person 2 high fives 3 then 4

And 3 high fives 4

->3+2+1=6

5 people -> person 1 high fives 2,3,4, then 5

And person 2 high fives 3,4, 5

And 3 high fives 4,5

And 4 high fives 5

-> 4+3+2+1=10

So for n people there would be (n-1)+(n-2)+....+3+2+1 high fives or (n-1)n/2 people.

Test:

3 people -> (3-1)3/2=(2)3/2=3

4 people -> (4-1)4/2=(3)4/2=6

5 people -> (5-1)5/2=(4)5/2=10

10 people-> (10-1)10/2=(9)10/2=90/2=45

or you could do 9+8+7+6+5+4+3+2+1 which also gives 45.

The other person has a great answer. Here's another approach.

Let's say we're selecting 2 people to fill slots A and B.

Slot A has 10 choices and slot B has 9 choices (since we can't pick the same person again to fill both slots simultaneously).

We have 10*9 = 90 ways to do this if order mattered.

However, we don't care about the order so we actually have 90/2 = 45 ways

---------------------------

Put another way: we can form a table that has 10 rows and 10 columns.

This table has 10*10 = 100 cells inside it.

Cross off the main diagonal that runs from the upper left corner to the bottom right corner. Any of these cells represent a certain person handshaking with themself, which we don't consider.

We cross of 10 items along this diagonal so we have 100-10 = 90 cells leftover.

Now consider that person A shaking with B can be notated as AB. This is identical to BA because the order doesn't matter. So we have twice as many handshakes counted.

That's why we divide by 2 to go from 90 to 90/2 = 45

-----------------------------

Another way to find the answer is to use the nCr combination formula with n = 10 and r = 2.

Yet another way to find the answer is look at Pascal's triangle. Find the row that has 1,10,45... in it at the start. These values correspond to r = 0, 1 and 2 respectively. We can see that 45 is when r = 2, which means we have 2 people shaking hands and there are 45 ways to have ten people shake hands.

So there are many approaches you can take with this problem.

Answer: It will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Step-by-step explanation: To calculate the cost of framing Jayla's math certificate, we need to determine the perimeter of the certificate, which is the sum of the lengths of all four sides.

Perimeter = 2 × (height + width)

Perimeter = 2 × (19 + 29)

Perimeter = 2 × 48

Perimeter = 96 centimeters

So the perimeter of the certificate is 96 centimeters.

To find the cost of framing, we need to multiply the perimeter by the cost per centimeter of the fancy frame:

Cost = perimeter × cost per centimeter

Cost = 96 × $0.03

Cost = $2.88

Therefore, it will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Answer:

-4 is the slope (m)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer: Kohl's

Step-by-step explanation:

Kohl's

30 x 0.20 = 6

30 - 6 = 24

Macy's

30 - 5 = 25

$1.00 difference

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

The vector function r(t) = (8 - 8t)i + (8 - 8t)j + (6 - 6t)k describes the line passing through the point P(8, 8, 6).

In mathematics, the study of lines and their equations is essential in various fields, including geometry and algebra. When given a point and a line, we can determine the equation or a parametric representation of that line.

W are tasked with finding a vector function r(t) that describes the line passing through the point P(8, 8, 6).

To construct the line equation, we can use the point-slope form.

Let's consider the vector equation r(t) = P + tD, where P represents the given point and D is the direction vector of the line.

Since we have a point P(8, 8, 6), we can assign P = 8i + 8j + 6k. To find the direction vector D, we can choose another point on the line and subtract P from it.

Let's choose Q(0, 0, 0) as a convenient point.

Thus, Q - P = -8i - 8j - 6k.

This gives us the direction vector D = -8i - 8j - 6k.

Combining the point P and the direction vector D, we can write the vector function describing the line as r(t) = (8 - 8t)i + (8 - 8t)j + (6 - 6t)k.

In summary, the vector function r(t) = (8 - 8t)i + (8 - 8t)j + (6 - 6t)k describes the line passing through the point P(8, 8, 6).

The equation allows us to represent the line parametrically, enabling further analysis and calculations related to the line's properties and interactions with other mathematical objects.

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Answer:

i is probably 1.

Step-by-step explanation:

1^3 is equal to 1

1^47 is equal to 1

Eli could buy is at least 24 sets of knives

From the question, we have the following parameters:

Let the number of sets be x

So, we have the following representations

Number of knives needed = Number of knives needed + Number of knives per set x Number of set

So, we have

312 + 10x ≥ 546

Evaluate the like terms

10x ≥ 234

Divide by 10

x ≥ 23.4

Rewrite as

x ≥ 24

Hence, the number of sets of knives Eli could buy is at least 24

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Answer:

Inequality: 312+10x≥546

x≥24

Step-by-step explanation:

its the same as the bottom

a. Null distribution is expected to be centered at the hypothesized proportion, which is 0.25.

b. Null distribution is expected to be centered at 25.

a. If you are using a proportion as your statistic, you expect the null distribution to be centered at the hypothesized proportion, which is 0.25 in this case.

b. If you are using a count as your statistic, you expect the null distribution to be centered at the expected count, which is np under the null hypothesis, where n is the sample size and p is the hypothesized proportion. In this case, np = 100 * 0.25 = 25.

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We compare the F-statistic (under the assumption of homoskedasticity) with its critical value at 5% significance level, we decide the evidence that these restrictions help to improve the fit of the model.

Given that R2 unrestricted and R2 restricted are 0.29 and 0.06, respectively. After comparing the F-statistic with its critical value at 5% significance level, we decide to reject the null hypothesis that the three restrictions we imposed on the unrestricted model are insignificant.

The given F-statistic is a ratio of R2 in the unrestricted and restricted models. Mathematically, this is expressed as follows;F = ((R2unrestricted - R2restricted)/ q)/((1-R2unrestricted)/(n-k))whereq = number of restrictionsk = number of regressors in the unrestricted modeln = total number of observationsIn our case, q = 3, k = 5, n = 100

Hence,F = ((0.29 - 0.06) / 3) / ((1 - 0.29) / (100 - 5))= 11.31This F-statistic has (q, n-k) = (3, 92) degrees of freedom and a 5% significance level.The critical F-value from the F distribution tables is F(3,92) = 2.76Since 11.31 > 2.76, we reject the null hypothesis that the three restrictions we imposed on the unrestricted model are insignificant.

This means that the coefficients for the three restricted variables are jointly significant in the unrestricted model, that is, we can reject the null hypothesis that they are equal to zero.Therefore, we have evidence that these restrictions help to improve the fit of the model.

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There are indeed 48 triangles that can be chosen from the rectangular array shown .

To find the 48 triangles, you should use the Combination formula which will show you the number of ways to pick 3 points when given 8 points.

C ( n, k ) = n! / ( k ! x ( n - k ) ! )

C ( 8 , 3 ) = 8 ! / (3 ! x ( 8 - 3 ) ! )

C ( 8, 3 ) = 336 / 6

C ( 8, 3) = 56

Now, there are technically 56 ways to pick the points but some of these ways are collinear and these cannot form triangles. Each row will have 4 such points so the number of ways to pick triangles is:

= 56 - ( 4 x 2 )

= 48 triangles

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Check the picture below.

\(\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)\)

\((\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}\)

Answer:  D

Step-by-step explanation:

The solution of the two equations does not exist since they are parallel.

Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.

Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.

Given linear equation of a line in slope intercept form as,

y = 1/2 x + 1

Here slope = 1/2 and y intercept = 1

y intercept is the y value of a point where it touches the y axis.

A second linear equation is to be found by using the values in the table.

Taking two points (2, 7) and (0, 6).

Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2

Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.

y intercept = 6

Equation of the second line is,

y = 1/2 x + 6

Since the slopes of two lines are equal, they are parallel.

There is no solution for two parallel lines.

Hence there is no solution for the linear equations given.

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Answer:

80%

Step-by-step explanation:

32/40=0.8

0.8=80%