Is 0.2x = 100- 0.4/y linear or non linear function?

Answer:

Step-by-step explanation:

Given, line equation is

We have to find the line equation which is perpendicular to the given line in slope intercept form.

Now, let us find the slope of the given line.ven line is in slope intercept form,  

y = mx + c where m is slope and c is intercept.

So, by comparison, slope of given line is

Now, we know that product of slopes of perpendicular lines = -1

SLope of that perpendicular line And we are also given that, perpendicular line passes x aixs at 36. Which means that intercept of x – axis is 36.

Answer:

10.1g+3.52x+16y+43.7

Step-by-step explanation:

The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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Answer:

V=80π/3 or V=83.78

Step-by-step explanation:

The volume is

V=πr^2h/3

r=4 (because the radius is half the diameter)

h=5

V=π16*5/3

V=80π/3

Answer:

83.73

Step-by-step explanation:

volume = (1/3) · π · r2 · h

volume = (1/3) x 3.14 x 4^2 x 5

volume = (1/3) x 3.14 x 16 x 5

3.14 x 16 x 5 = 251.2

1/3 x 251.2

83.73

Answer:

u = 24

Step-by-step explanation:

\(\frac{u}{4}\) + 12 = 18

   -12    -12

\(4*\frac{u}{4}\) = 6*4

u = 24

Answer:

u = 24

Step-by-step explanation:

Original Equation:

u/4 + 12 = 18

Subtract 12 from both sides

u/4 = 6

To separate the u from the 4, multiply both sides by 4

u = 24

Hope this helps :)

The circumference of Brianna's trampoline is approximately 6.28 yards.

What is trampoline?

A trampoline is a piece of equipment used in gymnastics, acrobatics, and recreational activities. It typically consists of a strong fabric stretched tightly over a steel frame with springs attached to the frame.

The circumference of a circle is given by the formula C = πd, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle.

In this case, Brianna's trampoline has a diameter of 2 yards. So, using the formula, we have:

C = πd = 3.14 x 2 yards = 6.28 yards

Therefore, the circumference of Brianna's trampoline is approximately 6.28 yards.

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Answer:

3:2

Step-by-step explanation:

42:28

21:14

3:2

The Yosemite bill was introduced in Congress 5 times before it was passed into law. The first time it was introduced was in 1864, and it took until 1890 for it to finally pass.

This tells us a few things about the people involved in the process. First, it tells us that they were persistent. They didn't give up on their goal of protecting Yosemite, even though it took them many years to achieve it. Second, it tells us that they were willing to compromise. The original bill proposed that Yosemite Valley and Mariposa Grove be granted to the State of California. However, the final bill that was passed granted the land to the federal government. This shows that the people involved were willing to work together to find a solution that would benefit everyone involved.

Here are the details of the different times the Yosemite bill was introduced in Congress:

1864: The Yosemite Valley Grant Act was introduced by Representative John Conness of California. The bill was passed by the House of Representatives, but it died in the Senate.

1865: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, but it was vetoed by President Andrew Johnson.

1869: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Ulysses S. Grant.

1889: The Yosemite National Park Act was introduced by Representative William Vandever of Iowa. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Benjamin Harrison.

1890: The Yosemite National Park Act was amended to add the Mariposa Grove of Giant Sequoias to the park. The amendment was passed by both the House of Representatives and the Senate, and it was signed into law by President Harrison.

The Yosemite bill was a major victory for conservationists. It protected a beautiful and unique landscape from development and ensured that it would be available for future generations to enjoy. The fact that it took so many years to pass the bill shows the challenges that conservationists face in protecting our natural resources. However, it also shows that with persistence and compromise, it is possible to achieve great things.

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If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

30 dollars

Step-by-step explanation:

if the mom and son have 30 and 36, the highest value you can get from both would be 30

Answer:

The greatest donation they can make is 30 dollars

Step-by-step explanation:

Money Word Problem

Let us analyze the given problem.

What is asked?

The greatest donation that Anthony and Jennifer can make.

What are the given?

Anthony's money - 30 dollars

Jennifer's money - 36 dollars

Finding the greatest donation that they can make, means finding their greatest common factor. Then, find out how many of their common factor they can get from their money.

How to find the greatest common factor?

There are three steps to find the GCF of two numbers:

1. Find all the factors of each number.

2. Find the common factors.

3. Choose the greatest factor or number.

Solution:

30 = 1, 3, 5, 6, 10, 30

36 = 1, 2, 3, 4, 6, 9, 12, 36

The greatest common factor is 6.

Now we need to know how many sixes we can get from their money.

30 = 6+6+6+6+6

36 = 6+6+6+6+6+6

Therefore, we can get 5 sixes from their money.

5 × 6 = 30

Final Answer:

The greatest donation that they can make is 30 dollars.

Answer:

n = 3

Step-by-step explanation:

Hope this helps you! :))

Answer:

n= 3

Step-by-step explanation:

when there is a multiplication with the same base, you can rewrite the base and make the sum of the exponents

3^(5+n) = 3^8

5 +3 = 8

so n=3

Using the ordered pairs from  the table, you can find the linear equation.

The slope of 8 represents the price of each t-shirt.

The y-intercept of 36 represents additional charge relevant to ordering, like processing or delivering cost.

Step-by-step explanation:

lol I guess you didnt do PEMDAS

you would divide 200÷2 wich is 100

so then u add the other 200 with 100 to get 300

Answer: it is 200, not 300 unless you added 100 after.

Answer:

C) 1/2

Step-by-step explanation:

We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.

From this sugar mixture, 1/4 cup is set aside for the crumb topping.

To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.

We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)

3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.

1/4 cup is set aside for the crumb topping.

So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup

Answer:

78.54

Step-by-step explanation:

Use this equation when trying to find the area of a circle using diameter:              \(A=\frac{1}{4}\pi d^{2}\)

\(A= \frac{1}{4} * 3.14 * 10^{2}\)

A=78.54

The number of free throws that adam can expect to make if he attempts 20 free throws is 14.

Probability is a metric used to express the possibility or chance that a particular event will occur. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given the probability that the person making a free throw is 70%. The question asks to estimate how many of his 20 free throw attempts will be successful.

Then, the number of free throws is calculated as follows,

\(\begin{aligned}\text{70\% of 20}&=\frac{70\times20}{100}\\&=14\end{aligned}\)

Then, the number of successful free throws is 14.

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Answer:

durmio 9 horas

Step-by-step explanation:

si cuentas a como va el reloj (de 1 a 12 y de am a pm) y empiesas desde Las 6 se va hasta que llegue a 12, empieza a ser 1 otravez.

According to the Law of Detachment we can conclude that Charles will​ get a ticket

Explanation:

The Law of detachment states if p, then q. if P is true, we can conclude q is true.

let p = If anyone goes 20 miles above the speed limit and gets pulled over

let q = they will go a ticket

if p, then q = If anyone goes 20 miles above the speed limit and gets pulled over, then they will go a ticket

Charles went over the speed limit by 20 miles and gets pulled over

Because the above statement is true, hence q will also apply:

According to the Law of Detachment we can conclude that Charles will​ get a ticket

The binary number 1011 represents a value of 9.5 in decimal.

What is a binary number?

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression that uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit or binary digit.

In a fixed-point binary representation, the position of the binary point is fixed, and the value of the number is determined by the weights of the individual bits.

In this case, the four-bit binary number 1011 is a fixed-point number with the binary point between the middle two bits. This means that the leftmost bit represents a value of 8, the next bit to the right represents a value of 4, the next bit represents a value of 1, and the rightmost bit represents a value of 0.5.

To find the decimal value of the number, we can add up the values of the individual bits:

1 x 8 + 0 x 4 + 1 x 1 + 1 x 0.5 = 8 + 0 + 1 + 0.5 = 9.5

Therefore, the binary number 1011 represents a value of 9.5 in decimal.

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The probability that exactly 9 buyers would prefer green is 0.1408

We will use the Binomial probability formula to find the answer

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ

We have

n, the number of trial = 12

x, the sample we aim to try = 9

p, the probability of success = 0.6

Substitute these values into the formula

\(P(9)= ^{12}C_{9} (0.6)^{9} (1-0.6)^{12-9}\)

P(9) = 0.1408 (rounded to four decimal places)

Hence, The probability that exactly 9 buyers would prefer green is 0.1408

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Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.

To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).

The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.

In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.

However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.

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If a matrix A has pivot columns then the Nullity A=0, Col A=not necessarily R3.

If a matrix A has pivot columns, then the nullity (dimension of the null space) of A is 0, because there are no free variables in the reduced row echelon form of A. This means that the only solution to the homogeneous equation Ax=0 is the trivial solution, x=0.

However, the column space (col A) of A is not necessarily equal to R3, because the pivot columns may not span the entire space R3. The column space of A is the span of the columns of A, which is a subspace of R3, but it may have a smaller dimension than R3 if some of the columns are linearly dependent or if some of them are zero.

Therefore, the column space of A could be any subspace of R3 with dimension between 0 and 3, depending on the specific matrix A.

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you can simplify this expression to obtain the numerical value of dg/dθ at the point (r, θ) = (2√2, π/4).

To evaluate the partial derivative dg/dθ using the Chain Rule, we need to calculate the derivatives of g with respect to x and y, and then multiply them by the partial derivative of x and y with respect to θ. Let's proceed step by step.

Given:

g(x, y) = 1/(8x + 4y^2)

x = rsin(θ)

y = rcos(θ)

(r, θ) = (2√2, π/4)

Step 1: Find the partial derivatives of g with respect to x and y.

∂g/∂x = -(1/(8x + 4y^2)^2) * (8) = -8/(8x + 4y^2)^2

∂g/∂y = -(1/(8x + 4y^2)^2) * (8y^2) = -8y^2/(8x + 4y^2)^2

Step 2: Find the partial derivatives of x and y with respect to θ.

∂x/∂θ = r*cos(θ)

∂y/∂θ = -r*sin(θ)

Step 3: Evaluate the partial derivative dg/dθ at the given point.

Substituting the values r = 2√2 and θ = π/4 into the partial derivatives, we have:

∂g/∂x = -8/(8x + 4y^2)^2 = -8/(8(2√2) + 4(2√2)^2)^2 = -8/(16√2 + 32)^2

∂g/∂y = -8y^2/(8x + 4y^2)^2 = -8(2√2)^2/(8(2√2) + 4(2√2)^2)^2 = -32/(16√2 + 32)^2

∂x/∂θ = r*cos(θ) = (2√2)*cos(π/4) = 2

∂y/∂θ = -r*sin(θ) = -(2√2)*sin(π/4) = -2

Finally, we can calculate the partial derivative dg/dθ using the Chain Rule:

dg/dθ = (∂g/∂x) * (∂x/∂θ) + (∂g/∂y) * (∂y/∂θ)

Substituting the partial derivatives we calculated earlier:

dg/dθ = (-8/(16√2 + 32)^2) * 2 + (-32/(16√2 + 32)^2) * (-2)

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we reject the null hypothesis if Z0 < -Za or if the p-value is less than a, where the p-value is the probability of obtaining a test statistic as extreme as Z0, assuming that the null hypothesis is true.

If our alternative hypothesis is H1: p1 - p2 < 0, where p1 and p2 are the proportions of successes in two independent groups, and our null hypothesis is H0: p1 - p2 = 0, then we can use a two-sample z-test to test the hypothesis.

The test statistic for the two-sample z-test is given by:

\(Z0 = (p1 - p2 - 0) / sqrt(p*(1-p)*(1/n1 + 1/n2))\)

where p = (x1 + x2) / (n1 + n2) is the pooled proportion, x1 and x2 are the number of successes in each group, and n1 and n2 are the sample sizes.

To determine whether to reject the null hypothesis, we need to compare the test statistic Z0 with the critical value Za/2, where a is the significance level. Since our alternative hypothesis is H1: p1 - p2 < 0, we have a one-tailed test and we need to use the lower tail of the standard normal distribution.

Therefore, we reject the null hypothesis if Z0 < -Za or if the p-value is less than a, where the p-value is the probability of obtaining a test statistic as extreme as Z0, assuming that the null hypothesis is true.

In this case, we reject the null hypothesis H0: p1 - p2 = 0 when Z0 < -Za, because we are interested in the lower tail of the distribution. We would not reject H0 when |Z0| > -Za, since this corresponds to the upper tail of the distribution. We would reject H0 if the p-value is less than a, since this means that the probability of observing a test statistic as extreme or more extreme than Z0 is less than the significance level a. We would also reject H0 if Z0 > Za, but this is not relevant for our alternative hypothesis H1: p1 - p2 < 0.

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The length of segment PM would be 12 units

I won't proceed based on your circle's association with any specific segments; instead, I'll use the illustration below.

We can determine QM = 15, SM = 10, and RM = 18 from the image. We apply the formula for determining segment lengths when there are two chords in a circle to determine the length of segment PM.

Our equation QM = (SM)(RM) (PM)

We now enter the information and resolve: (10)(18) = (15)(x) (x)

(10)(18) = 180

(15)(x) = 15x

180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x

x = 12

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If A=240, n=4 years, and i =3% per year, the value of P= 213.23.

To find the approximate value of P, follow these steps:

Therefore, the approximate value of P is 213.23 which is not one of the options provided.

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The smallest possible value of n is 20 that is minium 20 people's can seated according to given condition on a circlar table which has 60 chairs for sitting .

We have given that

total avaliabile chair on circular table = 60

let number of seating persons be N .

"If every third seat is occupied, filling 20 seats, then every unoccupied seat has a person seating next to it, so N could be 20. To see that N must be at least 20, note that any seating which satisfies the conditions cannot contain a gap of more than 2 unoccupied seats between any occupied seats. If we regard adjacent occupied seats as having a gap of 0 between them, every seating of N people contains N gaps, all of which must be less than 2. Thus N+2N = 3N is at least as big as the sum of N and all the which is 60, therefore 3N ≥ 60 and N ≥ 20.

Hence, smallest possible value of N is 20.

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Answer:

Part A

The surface area of the solid is 408 cm²

Part B

The volume of the solid is 312 cm³

Step-by-step explanation:

Part A

The surface area of the figure is found by finding the sum of the surface area of the individual rectangles that make up the figure as follows;

The areas of the rectangles are;

A₁ = 6 cm × 2 cm = 12 cm²

A₂ = 6 cm × 4 cm = 24 cm²

A₃ = 6 cm × 6 cm = 36 cm²

A₄ = 12 cm × 6 cm = 72 cm²

A₅ = 2 × 6 cm × 2 cm = 24 cm²

A₆ = 2 × 8 cm × 2 cm = 32 cm²

A₇ = 8 cm × 2 cm = 16 cm²

A₈ = 10 cm × 6 cm = 60 cm²

A₉ = 2 × 12 cm × 2 cm = 48 cm²

A₁₀ = 6 cm × 2 cm = 12 cm²

A₁₁ = 12 cm × 6 cm = 72 cm²

The area, A = A₁ + A₂ + A₃ + A₄ + A₅ + A₆ + A₇ + A₈ + A₉ + A₁₀ + A₁₁

Therefore, A = (12 + 24 + 36 + 72 + 24 + 32 + 16 + 60 + 48 + 12 + 72) cm² = 408 cm²

The surface area of the solid, A = 408 cm²

Part B

The volume is found similarly as follows;

V₁ = 6 cm × 6 cm × 2 cm = 72 cm³

V₂ = 8 cm × 6 cm × 2 cm = 96 cm³

V₃ = 12 cm × 6 cm × 2 cm = 144 cm³

The volume of the solid figure, V = V₁ + V₂ + V₃

∴ V = (72 + 96 + 144) cm³ = 312 cm³

The volume of the solid figure, V = 312 cm³.

Answer:

y=-3/2x+6

Step-by-step explanation: