PLS HELP RIGHT NOW!!!!!!!!!!!!
Two customers took out automobile loans.
-Katy took out a 5-year loan for $18,000 and paid 7.00% annual simple interest.
-Frank took out a 6-year loan for $18,000 and paid 6.00% annual simple interest.
What is the difference between the amounts of interest Katy and Frank paid for their loans?

A. $180
B. $240
C. $300
D. $360

The frequency-domain equivalent circuit equation obtained using phasor methods can be used to analyze the behavior of the circuit at different frequencies, and to predict the performance of the circuit under various operating conditions.  

To transform a circuit from the time domain to the frequency domain using phasor methods, follow these steps:

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The most widespread use of the f - distribution is to test for equality of variances from two normal populations.

In probability theory and statistics, the Fisher - Snedecor distribution is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance and other F-tests

Given is the f - distribution.

The f - distribution is commonly used in hypothesis testing and analysis of variance (ANOVA). In hypothesis testing, the f - distribution is often used to compare the variability of two population samples or to determine whether two population variances are equal.

Therefore, the most widespread use of the f - distribution is to test for equality of variances from two normal populations.

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To construct a confidence interval for the population proportion, we can use the formula:

CI = p ± z * sqrt((p(1 - p))/n)

where p is the sample proportion, z is the z-score corresponding to the desired confidence level, and n is the sample size.

Given:

Sample size (n) = 50

Number of phones with over 100 apps (x) = 13

Desired confidence level = 99%

z-score for a 99% confidence level (z0.005) = 2.576

First, calculate the sample proportion p:

p = x / n

p = 13 / 50

p = 0.26

Next, calculate the margin of error:

ME = z * sqrt((p(1 - p))/n)

ME = 2.576 * sqrt((0.26 * (1 - 0.26))/50)

ME ≈ 0.15

Finally, construct the confidence interval:

CI = p ± ME

CI = 0.26 ± 0.15

Therefore, the 99% confidence interval for the population proportion of phones with over 100 apps is:

Option B: 0.26 ± 0.15

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Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

Answer:

386 egg-laying hens.

Step-by-step explanation:

Actual Problem : Uncle Ben has 440 chickens on his farm. 39 are roosters

and the rest are hens. 15 of his hens do not lay eggs. The

rest lay eggs. How many egg-laying hens does Uncle Ben

have on his farm?

440 chickens  - 39 hens  = 401 hens

401 hens - 15 non egg laying hens = 386 Egg-Laying hens

Answer:

x=9*

Step-by-step explanation:

48*+(5x-3)*+90*=180*    (its is 180* because it is a line)

5x+135*=180*        (combine like terms)

-135*       -135*    (subtract 135*)

5x=45*       (divide by 5)

x=9*

dont mind the asterisks they are my degree signs

hope this helps

brainliest?

Answer: positive 4

Step-by-step explanation:

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

acc to our question-

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

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Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

600 mm

1) Examining the graph we can notice that the drinking described is decreasing.

2) And the initial amount of slushy was 600 mm since it is the amount when t=0

3) Hence, the answer is 600 mm

the cost of 1 box of paper is $7.25

Answer :

The system can be inconsistent or consistent and  independent or consistent and  dependent.

Step-by-step explanation :

Consistent system: When the system of equation have atleast one solution then the system is consistent.

Inconsistent system: When the system of equation have no solution then the system is called inconsistent.

Dependent system: When the consistent system have infinite number of solutions then the system is called dependent.

Independent system: When the consistent system has exact one solution then the system is called independent system.

We are given two solutions of two equations are (3,2,-6) and (-2,5,1).

But the system of equations have three equations.

Then, the system of equations may have no solution or may have altleast one solution.

If given system of equations have no solutions then the system is inconsistent.

If the given system of equations have two or more than two solutions then the system is consistent and dependent.

If the given system of equations has exactly one solution then the system is consistent and independent.

The system can be inconsistent or consistent independent or consistent independent.

a) The value of m is,

m = 2

b) The values are,

n = 3

k = 14

Given that;

a) Expression is,

⇒ 5m + 7 = 4m + 9

b) Expression is,

⇒ k = 5m + 3n - 8

⇒ n = 2m

Now, We can simplify as;

a) Expression is,

⇒ 5m + 7 = 4m + 9

⇒ 5m - 4m = 9 - 7

⇒ m = 2

b) Plug m = 2 in expressions as;

⇒ n = 2m

⇒ n = 2 × 2

⇒ n = 4

⇒ k = 5m + 3n - 8

⇒ k = 5 x 2 + 3 x 4 - 8

⇒ k = 10 + 12 - 8

⇒ k = 14

Thus, a) The value of m is,

m = 2

b) The values are,

n = 3

k = 14

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Answer:

hello again haha

-2, -1, 0, 1

Answer:

x = 1/2

Step-by-step explanation:

3 - 2(x - 1) = 2 + 4x

3 - 2x + 2 = 2 + 4x

-2x + 5 = 2 + 4x

-2x - 4x = 2 - 5

-6x = -3

x = -3/-6

x = 1/2

Answer:

10

Step-by-step explanation:

3 times 10 equals 30

Answer:

To find the x-intercepts we can write:

0 = -1/2(x + 3)² + 4

0 = -1/2(x² + 6x + 9) + 4

0 = -1/2x² - 3x - 9/2 + 4

0 = -1/2x² - 3x - 1/2

0 = x² + 6x + 1

x = -3 ± 2√2 (use quadratic formula)

As a decimal this can be written as x = -5.83, x = -0.17.

Answer:

Step-by-step explanation:

The function  has a domain x ≥ 5.

This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.

Hence, (x - 5) ≥ 0

⇒ x ≥ 5

Now, for all x values that are greater than equal to 5 the value of  will be negative.

So,  

⇒  

⇒ y ≤ 3

Therefore, the range of the function is y ≤ 3. (Answer)

Note: Thanks rani

The dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.

Let's assume the can has a height of h and a radius of r.

The volume of a cylinder is given by:

V = πr²h

Given that the can should hold 500 cubic centimeters of liquid, we have:

500 = πr²h

We want to minimize the cost, which depends on the surface area of the can.

The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.

The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.

Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.

The surface area of the sides of the cylinder is given by:

A_sides = 2πrh

The surface area of the top and bottom surfaces (each) is given by:

A_top_bottom = 2πr²

The total surface area (cost) is given by:

Cost = 2(2c)A_top_bottom + cA_sides

= 4cπr² + 2c(2πrh)

= 4cπr² + 4cπrh

To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).

From the volume equation, we have:

h = 500 / (πr²)

Substituting this value of h into the surface area equation, we get:

Cost = 4cπr² + 4cπr(500 / (πr²))

= 4cπr² + 2000c/r

Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:

dCost/dr = 8cπr - 2000c/r² = 0

8cπr = 2000c/r²

8πr³ = 2000

r³ = 250 / π

r ≈ 6.324

Now, we can substitute this value of r back into the equation for h:

h = 500 / (π(6.324)²)

≈ 3.984

So, the dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

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Answer:

1 :)

Step-by-step explanation:

8 x 7=56

7 x 1=7

Answer;

Explanation;

Here we want to write an algebraic expression

The quotient of 24 and 6 less than m

Mathematically, 6 less than m means we are to subtract 6 from m

We can have this as;

Quotient means the result of a division

So, basically, we are to divide 24 by the expression

Mathematically, we have this as;

The degree and leading coefficient of the polynomial p(x) = 3x(5x³-4) is 4 and 15 respectively.

The degree of a polynomial is the highest power of x in that given polynomial.

The given polynomial function;

P(x) = 3x(5x³ - 4)

The polynomial is simplified as follows;

3x(5x³ - 4) = 15x⁴ - 12x

The leading coefficient is the coefficient of the term with the highest power of x.

From the simplified polynomial expression;

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Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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Answer:

f(x+h)-f(x)/h=5h+10x-6

Step-by-step explanation:

f(x)=5x²-6x+1

f( x+h )=5( x+h )²-6(x+h)+1

          =5(x²+h²+2hx)-6x-6h+1

         =5x²+5h²+10xh-6x-6h+1

f(x+h)-f(x)=(5x²+5h²+10xh-6x-6h+1-(5x²-6x+1)

                =5x²+5h²+10xh-6x-6h+1-5x²+6x-1

                 =5h²+10hx-6h

f(x+h)-f(x)/h=(5h²+10hx-6h)/h

                   =5h+10x-6

Answer:

lines are perpendicular to each other

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Calculate the slopes of the lines using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \)

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (3, 11 )

m = \(\frac{11-1}{3-(-2)} \) = \(\frac{10}{3+2} \) = \(\frac{10}{5} \) = 2

Repeat with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (2, 3 )

m = \(\frac{3-4}{2-0} \) = \(\frac{-1}{2} \) = - \(\frac{1}{2} \)

2 ≠ - \(\frac{1}{2} \) , then lines are not parallel

2 × - \(\frac{1}{2} \) = - 1 , then lines are perpendicular

The inverse function of g(x) is:

f(x) =  (x - 2)^(2/3) + 3

Two functions are inverses if their composition is equal to the identity, then if f(x) is the inverse of our function, we must have that:

g( f(x) ) = x

Here we know that:

g(x) = (x - 3)^(3/2) + 2

Evaluating this in f(x) we should get:

g( f(x) = (f(x) - 3)^(3/2) + 2  = x

Now we can solve that for f(x).

(f(x) - 3)^(3/2) + 2  = x

( (f(x) - 3)^(3/2) =  x - 2

f(x) - 3 = (x - 2)^(2/3)

f(x) =  (x - 2)^(2/3) + 3

That is the inverse function.

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Answer: You make a system of inequality to spend at least $20. The word "at least" means you can spend equal to $20 or higher than $20. Or you can write it as,

⇒ what you buy should be ≥ 20

Input the price to the inequality above

⇒ what you buy should be ≥ 20

⇒ paperback price + hardcover price ≥ 20

⇒ 10x + 17y ≥ 20

Because the number of paperback books and the number of hardcover books can't be negative, make new inequality forms

⇒ x ≥ 0

⇒ y ≥ 0

So this is the summary

10x + 17y ≥ 20

x ≥ 0

y ≥ 0

Step-by-step explanation: