Graph the line with slope of 4/3
and goes through the point (1,3)

ANSWER THIS FAST!

Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

Answer:

Step-by-step explanation:

88.58 divided by 8.6 is 10.3. That is your answer. 10.3.

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

Learn more about trigonometric substitution here:

https://brainly.com/question/32150762

#SPJ11

Answer:

14

Step-by-step explanation:

(7x-1)+(6x-1)=180

13x-2=180

13x=182

x=14

Answer:

x=14

Step-by-step explanation:

Unless on the outside of the parenthesis are zeroes

Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

The answer is 23/40

To simplify this expression, we need to find a common denominator for each pair of fractions that are being added or subtracted.

 
The common denominator for 1/4 and 1/5 is 20, so we can rewrite 1/4 as 5/20 and 1/5 as 4/20. Then, we can subtract these fractions to get 1/20.

 
The common denominator for -3/4 and 1/8 is 8, so we can rewrite -3/4 as -6/8. Then, we can add these fractions to get -5/8.

 
Now, we can combine the two simplified fractions by finding a common denominator of 40. We can do this by multiplying 20 and 8, which gives us 160.

Then, we can rewrite 1/20 as 2/40 and -5/8 as -25/40. Adding these fractions together gives us:

2/40 - 25/40 = -23/40.

The absolute value of any number is always positive so it becomes 23/40.

The simplified version of (1/4 - 1/5) + (-3/4 + 1/8) is 23/40.

Answer:

A = 4

Step-by-step explanation:

4x2-20x=-3 and A(x2-5x)=-3

Hence:

4x2-20x = A(x2-5x)

4x^2 - 20x = A(x^2 - 5x)

Divide both sides by (x^2 - 5x) to isolate A:

(4x^2 - 20x)/(x^2 - 5x) = (x^2 - 5x) * A/(x^2 - 5x)  

A = (4x^2 - 20x)/(x^2 - 5x)

A = (4x(x - 5)) / (x(x - 5))  ==> factor each polynomial

A = (4x) / (x)   *   (x - 5)/(x - 5)

A = (4x) / (x)   *   1   ==> (x-5)/(x-5) = 1

A = (4x) / (x)

A = 4x/x  ==> simplify

A = 4

To learn more about completing the square, click here:

https://brainly.com/question/13981588

You must not pass on a curve or the crest of a hill if you cannot see at least 500 feet ahead.

This statement is referring to a basic safety rule of driving. Passing on a curve or the crest of a hill can be very dangerous since visibility is limited, and the driver may not be able to see approaching vehicles until it is too late to avoid a collision.

The amount of distance that a driver must be able to see ahead before passing depends on various factors such as the speed of the vehicles, road conditions, and weather conditions.

However, a general rule of thumb is that a driver should be able to see at least 400 feet ahead before passing. This distance allows the driver enough time to react if another vehicle suddenly appears or if there is an obstacle on the road.

Learn more about safe driving at:

brainly.com/question/25292145

#SPJ11

The profit made from the business that receives an initial $100 investment are as follows;

1. The amount received from the investment is $15

2. The number of lawns that should be mowed to buy the switch is 23 lawns

3. The profit made from the business considering the cost and the initial investment of the parents is $170

An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.

The amount invested = $100

The amount desired as return = 10% of the amount made from the business

1. The amount charged per lawn = $15

The number of lawn mowed = 10

The revenue of the business = 10 × $15 = $150

The amount paid as return on investment = 10% × $150 = $15

2. The amount required to buy the switch = $300

The number of lawns to be mowed, n, is therefore;

300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n

300 = 13.5·n

n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)

The number of lawns to be mowed is 23 lawns

3. The revenue from mowing 20 lawns is 20 × $15 = $300

The amount received by the investing parents = 10% × $300 = $30

The amount received from the parents investment = $100

The profit made after 20 lawns = $300 - $30 - $100 = $170

Learn more about percentages here:

https://brainly.com/question/843074

#SPJ1

The required surface area of the prism with area of the triangular base as 6 square centimeters and volume 18 cm³ is given by 12.5√12 square centimeters.

Let the triangular base of the prism be an equilateral triangle with side length s.

Then, the perimeter of the base is 12,

so we have

3s = 12,

⇒s = 4.

The area of the triangular base is

(√3/4)s²

= (√3/4)(4)²

= 4√12

The volume of the prism is equal to 18 cubic centimeters,

Set up the equation V = Bh,

where B is the area of the base

And h is the height of the prism.

Now,  solve for $h to get,

h

= V /B

= 18 /4√12

= 9/2√12

= 3√12/8

Lateral surface area of the prism is given by the formula

A = Ph,

where P is the perimeter of the base

And h is the height of the prism.

The perimeter of the base is 12,

height is 3√12/8,

so we have

A = 12 ( 3√12/8 )

   = 9√12/2

Total surface area of the prism is the sum of the area of the two triangular bases and the lateral surface area.

Each triangular base has area 4√12,

Total surface area is

= 2 (4√12 ) + 4.5√12

= 12.5√12

Therefore, the surface area of the prism is 12.5√12 square centimeters.

learn more about surface area here

brainly.com/question/30582561

#SPJ4

Answer: Height = 16.6 ft

Step-by-step explanation:

The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.

We can plug in the values given:

234.06 ft^2 = (19.2 ft + 9 ft)*h/2

We can multiply both sides by 2 and combine like terms:

468.12 ft^2 = 28.2 ft*h

Divide both sides by 28.2 ft:

Height = 16.6 ft

Answer:

x = 40 , y = 100

Step-by-step explanation:

3x - 20 and 2x are same- side interior angles and sum to 180° , that is

3x - 20 + 2x = 180

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40 and 2x = 2 × 40 = 80

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

2x + y are adjacent angles on a straight line and sum to 180° , then

y + 80 = 180 ( subtract 80 from both sides )

y = 100

Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To \: find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}\)

\( \sf (Radius)^2 = (16)^2-(12)^2\)

\( \sf (Radius)^2 = 256-144=112\)

\( \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm\)

Answer:

75000, 112500, 62500

Step-by-step explanation:

To find 1% of 250000:

1/100 x 250000 = 2500 (1% of total)

Son 1: 30x2500 = 75000 (30% of lawyers money)

Son 2: 45x2500 = 112500 (45% of lawyers money)

Son 3: 25x2500 = 62500 (25% of lawyers money)

12 months in a year

2 years

2x12=24

74.16x24=1779.84

Heather's total cost of repayment is $1,779.84.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Given,

Principal = $1,500

Rate = 17% per year (or 0.17 as a decimal)

Time = 2 years

Total interest = (principal × rate × time) / 12

Substitute the given values, and we get:

Total interest = (1500 × 0.17 × 2) / 12 = $51

So, Heather will pay a total of $51 in interest over the two years.

Total repayment = monthly payment × number of months

Here,

Monthly payment = $74.16

Number of months = 2 years × 12 months/year = 24 months

Substitute these values, and we get:

Total repayment = $74.16 × 24 = $1,779.84

Therefore, Heather's total cost of repayment is $1,779.84.

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ3

Answer:

0.969

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (18 - 31) / 7

= -1.857

area in z-score table (this is area to left of <18) is 0.0314.

P(>18) = 1 - 0.0314 = 0.969

The z-score corresponding to a mass of 148.3 kg is approximately -0.91.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

A population has a mean of 159.8 kg and a standard deviation of 12.6 kg. To find the z-score corresponding to a mass of 148.3 kg, use the formula: z = (X - μ) / σ, where X is the value (148.3 kg), μ is the mean (159.8 kg), and σ is the standard deviation (12.6 kg).

z = (148.3 - 159.8) / 12.6
z = -11.5 / 12.6
z ≈ -0.91

Know more about z-score here:

https://brainly.com/question/15016913

#SPJ11

Answer:

trapezoid

Step-by-step explanation:

its okay i had to look it up to make sure i was right lol

Can i have brianliet plz

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

Learn more about perimeter here:

https://brainly.com/question/7486523

#SPJ11

The purchase price of 52-week T-bills with a denomination of $10,000 and an interest rate of 5% can be calculated using the formula for the present value of a future cash flow. The purchase price is $9,523.

To calculate the purchase price of the 52-week T-bills, we need to find the present value (PV) of the future cash flow. The formula for the present value is:

\(PV = FV / (1 + r)^t\)

Where:

PV is the present value (purchase price)

FV is the future value (denomination)

r is the interest rate (in decimal form)

t is the time period (in years)

In this case, the future value (FV) is $10,000, the interest rate (r) is 5% (or 0.05 in decimal form), and the time period (t) is 1 year.

Plugging in the values, we have:

\(PV = 10,000 / (1 + 0.05)^1\)

= 10,000 / 1.05

≈ 9,523

Therefore, the purchase price of the 52-week T-bills with a denomination of $10,000 and an interest rate of 5% is approximately $9,523. This means that to buy the T-bills, one would need to pay $9,523 upfront to receive the $10,000 denomination after 52 weeks.

Learn more about interest rate visit:

brainly.com/question/29294869

#SPJ11

Answer:

b. 1,200 + 20 + 14

Step-by-step explanation:

617

x

2

______

1234

______

1234 aka. 1,200 + 20 + 14

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

Learn more about Graphs and inequality here,

brainly.com/question/16608196

brainly.com/question/17448505

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

Answer:

Step-by-step explanation:

\(3n+9n=-2(7-4n)-(1+n)\\\\\mathrm{Add\:similar\:elements:}\:3n+9n=12n\\\\12n=-2\left(7-4n\right)-\left(1+n\right)\\\\\mathrm{Expand\:}-2\left(7-4n\right)-\left(1+n\right):\quad 7n-15\\\\12n=7n-15\\\\\mathrm{Subtract\:}7n\mathrm{\:from\:both\:sides}\\\\12n-7n=7n-15-7n\\\\Simplify\\\\5n=-15\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5n}{5}=\frac{-15}{5}\\\\Simplify\\\\n=-3\)

Answer:

n=-3

  sorry no steps

The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.

A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).

For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.

24 ÷ 12 = 2

36 ÷ 12 = 3

Therefore, the simplified fraction of 24/36 is 2/3.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ4

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.

You can use the following MATLAB code:

```matlab

x = -10:0.5:10; % Generate x values

f = -4*x.^2 + sin(5*x); % Calculate f(x)

df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative

% Saving results to file

output = [x', f', df_dx'];

dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');

1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.

2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.

3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.

4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.

Learn more about decimal places here: brainly.com/question/20563248

#SPJ11

The debt-to-income ratio is the division between the sum of all debts and the sum of income.

Debt: $1,982 + $258 + $184 + $237 = $2,661.

Income: $4,115 + $700 + $1,000 + $95 = $5,910.

Then,

Let x, y, and z be the amounts (in liters) of the 15%, 35%, and 65% solutions, respectively.

The chemist wants to end up with 72 L of solution, so

x + y + z = 72

Now,

• x L of 15% solution contributes 0.15x L of acid

• y L of 35% solution contains 0.35y L of acid

• z L of 65% solution contains 0.65z L of acid

so that the total amount of acid in the resulting mixture is 45% of 72 L, or 32.4 L, which means

0.15x + 0.35y + 0.65z = 32.4

It's also stipulated that the chemist uses twice as much of the 65% solution as the 35% solution, which translates to

z = 2y

Substitute this into the other two equations:

x + 3y = 72

0.15x + 1.65y = 32.4

Solve for x in terms of y :

x = 72 - 3y

Solve for y :

0.15 (72 - 3y) + 1.65y = 32.4

10.8 - 0.45y + 1.65y = 32.4

1.2y = 21.6

y = 18

Solve for x and z :

x = 72 - 3 (18) = 18

z = 2 (18) = 36

So, the chemist should use

• 36 L of 65% solution (z)

• 18 L of 15% solution (x)

• 18 L of 35% solution (y)

a) To find the volume of the torus using the shell method, the integral can be set up as ∫2πy(2πr)dy.

b) To find the volume of the torus using the washer method, the integral can be set up as ∫π(R²-r²)dx.

c) The volume of the torus can be found by evaluating one of the two integrals obtained in parts (a) and (b).

a) The shell method involves considering cylindrical shells with height dy and radius y. Since the torus is formed by revolving a circle of radius 3 centered at (8,0) about the y-axis, the radius of each shell is y and the height is 2πr, where r is the distance from the y-axis to the circle. Therefore, the integral to find the volume of the torus using the shell method is ∫2πy(2πr)dy.

b) The washer method involves considering infinitesimally thin washers with inner radius r and outer radius R. In the case of the torus, the inner radius is the distance from the y-axis to the circle, which is y, and the outer radius is the radius of the circle, which is 3. Therefore, the integral to find the volume of the torus using the washer method is ∫π(R²-r²)dx.

c) To find the volume of the torus, one of the two integrals obtained in parts (a) and (b) can be evaluated. The specific integral to evaluate depends on the chosen method (shell or washer). By substituting the appropriate values into the integral and evaluating it, the volume of the torus can be calculated.

Note: The specific calculations to find the volume of the torus and the corresponding numerical result were not provided in the question, so the final answer in cubic units cannot be determined without further information.

Learn more about washer method here:

https://brainly.com/question/29677923

#SPJ11