y = 1^2-2x+4
find y pls

Answer:

95

Step-by-step explanation:

21.25 times 4 is 85

so it's 3 point something

then you do 80.75 divided by 21.25 and get 3.8 and then 25 times 3.8 is 95

Links are in a chain that is 80.75 inches long are 95.

The number of links on a chain is proportional to the length of the chain.

If 25 links create a chain that is 21.25 inches long,

then how many links are in a chain that is 80.75 inches long.

The inch can be defined as a unit of length in the customary system of measurement.

21.25 times 4 is 85.

Then you divided 80.75 by 21.25.

\(\frac{80.75}{21.25} =3.8\)

Then 25 times 3.8 is 95

\(3.8\times 25=95\)

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The net pay amount for January would be $86,761.

Given the following information: Gross earnings in Vaughn Company were $114,000. All earnings are subject to 7.65% FICA taxes. Federal income tax withheld was $16,500, and state income tax withheld was $2,000.To calculate the net pay for January, first, we have to calculate the deductions:Gross earnings are:$114,000The FICA taxes for the earnings will be:7.65% of $114,000 = 0.0765 × $114,000 = $8,739State income tax withheld was $2,000Federal income tax withheld was $16,500Deductions are: 8,739 + 2,000 + 16,500 = $27,239The net pay amount for January would be:$114,000 - $27,239 = $86,761Answer: $86,761.

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Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
\(V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h\)

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
\(C = 2 \pi r\)

We can get the radius from rearranging the equation.

\(r = \frac{C}{2 \pi}\)

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.

Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

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The statement 'double *num2;' declares a pointer variable named num2.

The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.

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\(\huge\boxed{\sf{Hello\:there!}}\)

Parallel lines have the same slope.

We are given the equation of one line: y=-2x+1

Its slope is -2.

The line parallel to the given line has a slope of -2 as well.

Now, we have the slope of the line and a point that it intersects.

All we have to do is use Point-Slope Form:

y-y1=m(-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+9

Therefore, that's the equation of the line.

\(\huge\boxed{\bf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}\)\(\huge\bold{Good\:luck!}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

In this case, we have the following values:

X1 = 24 (number of successes in sample 1)

n1 = 200 (sample size 1)

X2 = 17 (number of successes in sample 2)

n2 = 150 (sample size 2)

To calculate the sample proportions, we divide the number of successes by the respective sample sizes:

p1 = X1 / n1 = 24 / 200 = 0.12

p2 = X2 / n2 = 17 / 150 = 0.1133

Now, we can plug these values into the formula to calculate the standard error:

SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]

SE ≈ 0.0319

Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:

Z = (p1 - p2) / SE

Z = (0.12 - 0.1133) / 0.0319

Z ≈ 0.2103

Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

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Answer:

24

Step-by-step explanation:

GCF means greatest common factor.

Factors of 24:  1, 2, 3, 4, 6, 8, 12, 24

Factors of 48:  1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest common factor between both sets is 24, so the GCF of 24 and 48 is 24.

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

A, good luck!!!

Step-by-step explanation:

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. The radius is half the diameter, so for a circle with a diameter of 90 feet, the radius would be 45 feet.

Substituting this value into the formula for the area of a circle gives A = π * 45^2 = 2025π ≈ 6361.725 square feet.

Of the two options given, A: 3,627.5 ft2 is closest to the calculated area of the circular base of the sundial.

The series ₙ=₁Σ∞ (n²+n+6) / (n⁴ + n²) is convergent.

Comparison test:

Let Σuₙ and Σvₙ be the two series of positive real numbers and there is a natural number in such that uₙ ≤ vₙ for all n ≥ m, k being a fixed positive number. Then,

i) Σuₙ is convergent if Σvₙ is convergent.

ii) Σvₙ is divergent if Σuₙ is divergent.

Given, ₙ=₁Σ∞ ( 6ⁿ⁺¹) / (5ⁿ -6 )

Let  ₙ=₁Σ∞ vₙ  be the given series where vₙ = ( 6ⁿ⁺¹) / (5ⁿ -6 )

Now, we have  ( 6ⁿ⁺¹) / (5ⁿ -6 ) > (6/5)ⁿ , ∀ n ≥ 2.

uₙ < vₙ  , where uₙ = (6/5)ⁿ.

By geometric series Σ(6/5)ⁿ is divergent.

Therefor, the series diverges by the comparison test. Each term is greater than that of a divergent geometric series.

Comparison test(limit form)

Let Σuₙ and Σvₙ be two series of positive real numbers and \(\lim_{n \to \infty} \frac{u}{v} = l\\\), where l is a non-zero finite number. Then the two series  Σuₙ and Σvₙ converge and diverge together.

Given, ₙ₋₁Σ∞ (n²+n+6) / (n⁴ + n²)

Let ₙ₋₁Σ∞ uₙ be the given series

Then, uₙ = (n²+n+6) / (n⁴ + n²)

Let, vₙ = 1/(n²)

Then, \(\lim_{n \to \infty} \frac{u}{v\\}\) = (n²+n+6). n² / (n⁴ + n²)

= \(\lim_{n \to \infty} \\\) [n⁴ (1 + 1/n + 6/n²)] / n⁴ (1 + 1/n²)

= 1 (non-zero finite number)

Since, Σ (1/n²) convergent by p-series[p = 2>1]

Therefore, By comparison test

Σuₙ is convergent.

Hence, the series ₙ=₁Σ∞ (n²+n+6) / (n⁴ + n²) is convergent.

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Complete question:

Determine whether the series converges or diverges.

ₙ=₁Σ^∞ ( 6ⁿ⁺¹) / (5ⁿ -6 )

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

We find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139. Any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps. The middle 70% of her laps are between 119 and 131 seconds.

To answer your questions, we first need to have some context on what we're dealing with. You mentioned "her laps," so I assume we're talking about a person who is running or swimming laps. We also need to know the distribution of her lap times (i.e., are they normally distributed, skewed, etc.) in order to answer these questions accurately. For now, let's assume that her lap times are normally distributed.
To find the proportion of her laps that are completed between 127 and 130 seconds, we need to calculate the area under the normal distribution curve between those two values. We can do this using a calculator or a statistical software program, but we need to know the mean and standard deviation of her lap times first.

Let's say the mean is 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139.
To find the fastest 2% of laps, we need to look at the upper tail of the distribution. Again, we need to know the mean and standard deviation of her lap times to do this accurately. Let's say the mean is still 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98th percentile (i.e., the fastest 2% of laps) is about 2.05. We can then use the formula z = (x - mu) / sigma to find that x = z * sigma + mu, where x is the lap time we're looking for. Plugging in the numbers, we get x = 2.05 * 5 + 125 = 135.25 seconds.

Therefore, any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps.
Finally, to find the middle 70% of her laps, we need to look at the area under the normal distribution curve between two values, just like in part However, we need to find the values that correspond to the 15th and 85th percentiles, since those are the cutoffs for the middle 70%. Using the same mean and standard deviation as before, we can use a standard normal distribution table or calculator to find that the z-scores corresponding to the 15th and 85th percentiles are -1.04 and 1.04, respectively.

We can find that the lap times corresponding to those z-scores are 119 seconds and 131 seconds, respectively. Therefore, the middle 70% of her laps are between 119 and 131 seconds.

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Answer: $3.75

Step-by-step explanation:

Answer:

The cost of 6 cans of soup is 3.75

Step-by-step explanation:

12 = 7.50

1 can = x

12x = 7.50

We need to find the cost of 1 can. So we divide 7.50 by 12.

x = 0.625

Then multiply by 6.

0.625 x 6 = 3.75

As a result the cost of 6 cans of sup is $3.75

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

Mark made 15 shots

Step-by-step explanation:

Both made 60% of their shots

The number of shots made by Mark out of the 25 shots he took is 15 shots.

Given,

Bobbie and Mark were practicing for basketball tryouts.

Bobbie shot the ball 15 times and he made 9.

Mark made shots in the exact same proportion, but he took 25 shots.

We need to find how many shots did Mark make.

If two ratios are the same then we say the ratios are in proportion.

Example:

32 miles in 16 hours - 32 / 16

20 miles in 10 hours - 20 / 10

Here,

32/16 = 20/10

2/1 = 2/1

We have,

Bobbie:

15 shots took and made 9 shots.

We can write it as:

= made 9 points / took 15 shots

= 9/15

= 3/5

Let the shots made by Mark be x

Mark:

= made x points / took 25 shots.

= x/25

Since Mark made shots in the exact same proportion.

3/5 = x/25

3 x 25 / 5 = x

x = 15

Thus the number of shots made by Mark out of the 25 shots he took is 15 shots.

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A number is tripled and then 17 is subtracted. The original number is 19.

To find the original number, we need to work backwards from the given result. Let's start by assigning a variable to the original number. Let's call it "n".

According to the problem, the number is tripled and then 17 is subtracted from the result. This can be expressed as:

3n - 17 = 40

To solve for "n", we need to isolate the variable on one side of the equation. We can do this by adding 17 to both sides of the equation:

3n = 57

Finally, we can solve for "n" by dividing both sides by 3:

n = 19

Therefore, the original number is 19.

We can check our answer by plugging it back into the original equation:

3(19) - 17 = 40

57 - 17 = 40

40 = 40

The equation checks out, so we can be confident that our answer of 19 is correct.

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Answer:

Step-by-step explanation:

1) Solve the equation: [4ax - (a + b)](a + b) = 0, where a and b are constants.

or

2) Solve the equation m²x + 1 = m(x + 1), where m is a parameter.

3) Given that the equation a(2x - 1) = 3x - 3 has no solution, find the value of the parameter a.

The equation has no solution if:

Answer: X=5

Step-by-step explanation:

Multiply inside the parentheses: 2x+8=x+13

Subtract x from the right side and subtract 8 from the left side: x=5

The expressions which is equivalent to 2x + 3 would be 4x + 6.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions. To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We need to find the expressions which is equivalent to 2x + 3

Thus, we will Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.

Let the expression be multiplying by 2 then;

2(2x + 3)

4x + 6

Hence, we can say that the expressions which is equivalent to 2x + 3 would be 4x + 6.

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Answer:

Mark will save $20 in 17 weeks, but there is no equation for Jen.

Step-by-step explanation:

y = x + 3

1) replace y with $20

20 = x + 3

2) subtract 3 from both sides

17 = x

The probability of choosing m from the word mathematics is 2/11 or approximately 0.1818.

To find the probability of choosing m from the word mathematics, we need to know the total number of letters in the word and the number of occurrences of the letter m.

The word mathematics has a total of 11 letters. The letter m appears twice in the word.

Therefore, the probability of choosing m from the word mathematics can be calculated as:

P(m) = Number of ways to choose m / Total number of letters

P(m) = 2 / 11

So the probability of choosing m from the word mathematics is 2/11 or approximately 0.1818.

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Answer:

need more information

Step-by-step explanatin

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Correct calculation:

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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Answer:

\(df \: is \: correct \: answer\)

Answer:

Step-by-step explanation:

12

Answer:

\(y = -2x + 15\)

Step-by-step explanation:

center of the circle C is at (0, 0).

let P be the point (6, 3),

There is a property of a circle,

line drawn from center of a circle to a point P (x, y) is perpendicular to the tangent at P.

see the attached figure

so basically we have to find the equation of line perpendicular to the line passing through (6, 3).

slope of line CP = 1/2

therefore the slope of perpendicular line = -2 (tangent at P)

It passes through (6, 3) (the point of tangency),

using the equation,

\(y_2 - y_1 = m(x_2 - x_1)\)

\(y - 3 = -2(x - 6)\)

\(y = -2x + 15\)

Hopefully, this answer will help you!

It looks like you want to find

\(\displaystyle \int_1^4 x f''(x) \, dx\)

Integrate by parts:

\(u = x \implies du = dx\)

\(dv = f''(x) \, dx \implies v = f'(x)\)

Then

\(\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx\)

By the fundamental theorem of calculus,

\(\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)\)

so that

\(\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}\)

Answer:

10 - 2 y

Step-by-step explanation:

Frequency distribution table is a summary of the distribution of values in a data set. It includes the values and their corresponding frequencies, percentages, and cumulative frequencies. Below is the frequency distribution table of the population of 20 of the most populous cities in the world, in millions of people (rounded to the nearest 100,000).

The table above was created by grouping the population data into intervals called class intervals.Each class interval is determined by subtracting the smallest value from the largest value, dividing the difference by the number of classes, and then rounding up to the nearest convenient number. After that, the frequencies of each class interval are calculated by counting the number of data points that fall within each class interval.

In the table above, the class interval 1.00 - 1.49 means that the population data between 1.00 million and 1.49 million were grouped together and had a frequency of 2.The class interval 24.50 - 24.99, on the other hand, means that the population data between 24.50 million and 24.99 million were grouped together and had a frequency of 1. And so on...

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Answer:

Below

Step-by-step explanation:

To find the break-even point, we need to determine the point at which the total revenue equals the total cost. Let's call the number of shirts sold "x".

The total cost includes the initial costs of $1,500 and the cost per shirt of $3x, so the total cost is:

y = 1500 + 3x

The total revenue is the price per shirt of $10 multiplied by the number of shirts sold, so the total revenue is:

y = 10x

To find the break-even point, we need to set the total cost equal to the total revenue and solve for x:

1500 + 3x = 10x

Simplifying this equation, we get:

1500 = 7x

Dividing both sides by 7, we get:

x = 214.29

Therefore, Steve needs to sell 215 shirts to break even.So the correct system to find the break-even point is:

y = 1500 + 3x (total cost)

y = 10x (total revenue)