Find the slope of the line will mark as brain
y
=
–9
4
x
−
1
4
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

The linear approximation of F at (Pi, 0) is \(-Pi^2cos^2(Pi).\)

To discover the linear approximation of the given function at (Pi, 0), we need to first discover the partial derivatives of the function with respect to x and y evaluated at (Pi, zero).

Partial derivative of F with recognize to x:

∂F/∂x = -2sin(x)cos(x)

evaluated at (Pi, 0):

∂F/∂x(Pi, 0) = -2sin(Pi)cos(Pi) = 0

Partial derivative of F with recognize to y:

∂F/∂y = 1/(2√y)

evaluated at (Pi, 0):

∂F/∂y(Pi, 0) = 1/(2√0) = undefined

For the reason that partial derivative of F with respect to y is undefined at (Pi, 0), we can't use the multivariable Taylor collection to discover the linear approximation. as an alternative, we will use the formula for the linear approximation:

\(L(x,y) = f(a,b) + ∂f/∂x(a,b)(x-a) + ∂f/∂y(a,b)(y-b)\)

Wherein (a,b) is the factor at which we want to find the linear approximation.

In this case, a = Pi and b = 0. So, the linear approximation is:

\(L(x,y) = F(Pi, 0) + ∂F/∂x(Pi, 0)(x - Pi)\)

\(L(x,y) = sqrt(0) + (cos(Pi))^2(0 - Pi)\)

\(L(x,y) = -Pi^2cos^2(Pi)\)

Consequently, the linear approximation of F at (Pi, 0) is \(-Pi^2cos^2(Pi).\)

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Answer: The percent of putts that he missed is 60%.

Step-by-step explanation: You divide 27 by 45, and that equals 0.6. After that you multiply 0.6 by 100, which gets it to 60/60%.

Answer: 60

Step-by-step explanation:

-10 x -6 = 60

Negative x Negative = Positive

Answer: 60

Step-by-step explanation: When multiplying integers,

if the signs are the same, the product is positive.'

So a negative times a negative always equals a positive.

So in this problem, -10 × -6 is 60.

the real solutions of the equation 8x^2 + 6x - 9 = 0 are x = 3/4 and x = -3/2.

To find the real solutions of the equation 8x^2 + 6x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 8

b = 6

c = -9

Plugging these values into the quadratic formula, we get:

x = (-6 ± √(6^2 - 4(8)(-9))) / (2(8))

x = (-6 ± √(36 + 288)) / 16

x = (-6 ± √324) / 16

x = (-6 ± 18) / 16

This simplifies to two possible solutions:

x₁ = (-6 + 18) / 16 = 12/16 = 3/4

x₂ = (-6 - 18) / 16 = -24/16 = -3/2

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The amount of the 12b-1 fee that Ms. Ramirez must pay is $93.50. This fee is based on a percentage of the current value of her shares in the Touchstone Small Cap fund, with a fee rate of 0.50 percent.

To calculate the amount of the 12b-1 fee that Ms. Ramirez must pay, we can use the formula:

12b-1 fee = (12b-1 fee rate) * (current value of shares)

The 12b-1 fee rate is given as 0.50 percent, which needs to be converted to a decimal by dividing it by 100:

12b-1 fee rate = 0.50% = 0.50/100 = 0.005

Now we can substitute the values into the formula:

12b-1 fee = 0.005 * $18,700

Calculating the multiplication:

12b-1 fee = $93.50

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Answer:

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

Second number = 5 * 2 = 10

To solve we need to calculate the z-score, but since we are given the sample size then we shall begin as follows:

The z-score is calculated as (320 - 300)/(50/6) = 2.4, which means that the value of 320 is 2.4 standard deviations above the population mean of 300. Using a standard normal table or calculator, we can find the probability that a standard normal random variable is less than 2.4, which is approximately 0.9918.

This means that the probability that the sample mean is greater than 320 is approximately 0.9918. In other words, there is a 99.18% chance that a randomly selected sample of 36 U.S. Marines will have a mean number of pushups greater than 320.

μ=300, σ=50, n=36, x=320

So,

σ/√n

= 50/√36

= 8.33333

z=(320-300)/8.33333

z=2.4

Therefore,

P(x>320)=P(z<2.4)=0.9918.

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The characteristic equation is r^2 + 2r = 0. The solutions to the differential equation are r = 0 and r = -2. The differential equation is linear.

a) The characteristic equation for the given differential equation is r^2 + 2r = 0.

To obtain the characteristic equation, we replace each derivative term in the differential equation with the corresponding power of r. In this case, we have x^2x + 2x = 0. By factoring out an x from the equation, we get x(x + 2) = 0. This implies that either x = 0 or x + 2 = 0. Thus, the characteristic equation is r^2 + 2r = 0.

b) The solutions to the differential equation can be found by solving the characteristic equation. By factoring out r from r^2 + 2r = 0, we have r(r + 2) = 0. Therefore, the solutions are r = 0 and r = -2.

c) The given differential equation is linear. A differential equation is linear if the highest power of the dependent variable and its derivatives is 1. In this case, the highest power is 1, making it a linear differential equation.

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3. the answer is 8

6. the answer is 7

Answer:

48/8=6

56/7=8

Step-by-step explanation:

48÷ 8 = 6

56÷ 7 = 8

Answer:

His average daily pay was $90.

Step-by-step explanation:

78+94+115+108+67+78=540

540/6= 90.

Step-by-step explanation:

equal because of the 8+7

Answer:

x \geq -6

Step-by-step explanation:

2x+4 \geq -8

    -4       -4

2x \geq -12

/2        /2

x \geq -6

Answer:

1

Step-by-step explanation:

when substituting the numbers back In #1 was the only one that -50 worked in

Answer:

1.) X/2= -25

Step-by-step explanation:

The percent of the increase in Paulina’s earnings is 15.55%.

The percentage is defined as a ratio expressed as a fraction of 100.

Last month, she earned $520.60. This month, she works overtime and earns $601.30.

The percent of increase = ($601.30 - $520.60)/520.60 x 100%

The percent of increase = (80.7)/520.60 x 100%

The percent of increase = 0.15501 x 100%

Apply the multiplication operation,

The percent of increase = 15.55 %

Thus, the percentage of the increase in Paulina’s earnings is 15.55%.

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The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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Answer:

m = -5/2

b = 3

Step-by-step explanation:

The equation is in y = mx +b form where m is the slope and b is the y-intercept.  This means that the slope is -5/2 and the y-intercept is 3.

Answer:

Step-by-step explanation:

57 of them were cinnamon.

Explanation:

100-40 = 60 and 3 of those were glazed so that leaves us with 57

A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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Answer:Use it as it is or fit non-normal distribution

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

You subtract 439 from 999 and you get the left over tickets that were sold over the weekend

Answer:

A. don't move either direction

Step-by-step explanation:

the number determines how many you move forward or backward 0 would mean u don't move at all

Answer:

a card with the number 0 would mean not to move at all south would be ''do not move in either direction''

Answer:

(-2,1)

Step-by-step explanation:

that is where the two graphs intersect

Answer:

$14,850

Step-by-step explanation:

If the factory can sell 225 bottles each hour, then for a 12 hour shift, 225 * 12 = 2,700 bottles sold. 5.50 * 2,700 = 14,850, so the factory makes $14,850.

G n 2019, Joshua gave $12,300 worth of Microsoft stock to his son. In 2020, Microsoft shares were worth $21,500. The gift tax in 2019 is -$2,700.

Based on the information provided, we can calculate the gift tax using the federal gift tax rate for 2019. In 2019, the annual exclusion for gifts was $15,000, meaning that any gifts given under that amount were not subject to the gift tax. However, in this case, Joshua gave his son $12,300 worth of Microsoft stock, which exceeds the annual exclusion.

The federal gift tax rate for 2019 was 40%, which applies to gifts exceeding the annual exclusion. To calculate the gift tax, we first need to determine the amount of the gift that exceeds the annual exclusion. In this case, that would be $12,300 - $15,000 = -$2,700 (since the gift was less than the annual exclusion).

However, even though there is no gift tax owed on this gift, Joshua may still need to file a gift tax return (Form 709) to report the gift to the IRS, since it exceeds the annual exclusion. This is something he should discuss with a tax professional to ensure compliance with IRS regulations.

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Answer:

14

Step-by-step explanation:

Answer: 2x-7

Because the other person is wrong

The equilateral triangle shown has three sides and three angles that are all the same. This should be the equilateral triangle theorem, however the answer selections do not cover it.

An equilateral triangle is a triangle with three equal-length sides in geometry. An equilateral triangle's sides are congruent, which indicates that all sides are the same length. All of the inner angles are also identical (60 degrees). An equilateral triangle is a triangle with all of its sides equal in length. Because the three sides are equal, the three angles opposing the equal sides are also equal in size. As a result, it is also known as an equiangular triangle, with each angle measuring 60 degrees.

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The number of blueberries sold is B = 171 blueberries

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of blueberries sold be B

Now , the total number of muffins = 380 muffins

The total percentage of chocolate chunk = 15 % of the total

So , the number of muffins that were chocolate chunk = ( 15/100 ) x 380

The number of muffins that were chocolate chunk = 57 chocolate chunk

The number of muffins that were banana nut = ( 2/5 ) of the total

The number of muffins that were banana nut = 152 banana nuts

And , the remaining trees were blueberry

So , on simplifying the equation , we get

The number of blueberries = 380 - number of muffins that were banana nut - number of muffins that were chocolate chunk

The number of blueberries = 380 - 152 - 57

The number of blueberries = 171 blueberries

Hence , the number of blueberries is 171

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Probability that 79 or more seeds germinate is 0.138, or about 13.8%.

To approximate the probability that 79 or more seeds germinate, we can use a normal approximation to the binomial distribution. First, we need to find the mean and standard deviation of the number of seeds that germinate.

The mean is the expected value of a binomial distribution, which is equal to the product of the number of trials (90) and the probability of success (0.84):

mean = 90 x 0.84 = 75.6

The standard deviation of a binomial distribution is equal to the square root of the product of the number of trials, the probability of success, and the probability of failure (1 minus the probability of success):

standard deviation = sqrt(90 x 0.84 x 0.16) = 3.11

Next, we can use the normal distribution to approximate the probability that 79 or more seeds germinate. We need to standardize the value of 79 using the mean and standard deviation we just calculated:

z = (79 - 75.6) / 3.11 = 1.09

Using a standard normal distribution table (or calculator), we can find the probability that a standard normal variable is greater than 1.09:

P(Z > 1.09) = 0.138

This means that the approximate probability that 79 or more seeds germinate is 0.138, or about 13.8%.

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Answer:

International Press Telecommunications Council

Answer:

298

Step-by-step explanation:

We should know that , the proportional relationship is passing through the point (0,0)

As shown in the given graphs , there are 3 lines passing through the point (0,0)

So, the 3 lines representing proportional relationship

So, the graph that shows a non- proportional relationship is number 4