BRAINLY. what is the equation of the line in slope intercept form

9514 1404 393

Answer:

  200 ounces

Step-by-step explanation:

Each pound is 16 ounces, so the number of ounces is ...

  (12.5 lb)(16 oz/lb) = 200 oz

The package weighs 200 ounces.

Answer:

y=7x+3, y=7x−6

The answer is the second one.

The -1 is shaded in, and the arrow is pointing to the ĺeft.

Answer:

0> is greater than -5

Step-by-step explanation:

Answer:

-5 < 0

Step-by-step explanation:

hope this helps :P Hav a gud day :3

After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.

To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.

Given:

Loan amount (principal balance) = $250,000

Interest rate = 6.50%

Discount points = 2

Extra lump sum payment = $16,000

A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.

Principal balance after the lump sum payment:

$250,000 - $16,000 = $234,000

Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.

B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.

Total interest paid without lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 360 - $250,000

Total interest paid with lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 346 - $234,000

Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment

Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)

To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.

Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)

Net interest savings = $86,353.39

Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.

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Answer:

Maybe this will help btw not math

Step-by-step explanation:

The total amount of interest earned by the investment in n years is 100 times the product of the annual interest rate and the time period i.e., I = 100 * x * n

The total amount of interest earned by an investment can be calculated using the simple interest formula:

I = P * r * t

Where:

I = the total amount of interest earned

P = the principal investment amount

r = the annual interest rate as a decimal

t = the time period in years

In this case, the principal investment amount is $10,000, the annual interest rate is x percent (as a decimal, x/100), and the time period is n years. So, the total amount of interest earned can be represented by:

I = 10,000 * (x/100) * n

Simplifying this expression, we get:

I = 100 * x * n

Therefore, the total amount of interest earned by the investment in n years is 100 times the product of the annual interest rate and the time period. The units of this value will be dollars, since it represents the amount of interest earned.

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Answer:

The correct answer is option D, 20ft

Step-by-step explanation:

After drawing the picture below, you can just use pythagorean theorem to solve for the diagonal, or the hypotenuse in this case;

(Length)² + (Width)² = (Diagonal)²

(16)² + (12)² = (Diagonal)²

256 + 144 = (Diagonal)²

400 = (Diagonal)²

\(\sqrt{400}\) = \(\sqrt{Diagonal^{2} }\)

20 = Diagonal

Hope this helps!

Answer:

D. 20 ft

Step-by-step explanation:

Use pythagorus! We can imagine the rectangle is split into 2 equal triangles, one side of the triangle being 12, and the width being 16.

Pythagorus theorum is used to calculate the hypotenuse (long side) of a right-angled triangle. This is the formula:

\(\sf{a^{2}+b^{2} = c^{2} }\)

So, we do 12^2 (squared) + 16^2 =

144 + 256 = 400

Now, we have to find the square root of 400, which is equal to

20

So our answer is 20ft

Hope this makes sense! If you need further explanation, do let me know...

- profparis

Answer:

y = -2

Step-by-step explanation:

To find the answer, we have to input 0 in as the value of x and then solve the equation y = 3x - 2:

y = 3(0) - 2

y = 0 - 2

y = -2

When x is 0, y is -2.

Answer:

32?

Step-by-step explanation:

I don't know, I was just guessing

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Answer:

∠JKP = 35°

Step-by-step explanation:

since P is the incenter, then lines to incenter bisect the corner angles:

7x - 6 = 5x + 4

subtract 5 x from both sides of the equation:

2x - 6 = 4

add 6 to each side:

2x = 10

divide both sides by 2:

x = 5

∠KJP = 7(5) - 6 = 29°

∠LJP = 5(5) + 4 = 29°

then ∠KJL = 29° + 29° = 58°

∠KLJ = 26° + 26° = 52°

∠JKL = 180° - 58° - 52° = 70°

∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°

there might be a more direct way about it but this was the least confusing way I know to explain it.

Answer:

x=5/3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+4x=10

Step 1: Simplify both sides of the equation.

2x+4x=10

(2x+4x)=10(Combine Like Terms)

6x=10

6x=10

Step 2: Divide both sides by 6.

6x /6 = 10 /6

x= 5 /3

Answer:

5/3 or 1.6 repeated

Step-by-step explanation:

Hope this helps :-)

answer:

9

explanation:

9*9=81

81 sqrt= 9

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The confidence interval for the additional growth of plants in one week at a 95% confidence level is [8.26, 13.74].

Sample standard deviation = 4 inches

Sample mean = 11 inches

Sample size = 11

At 95% confidence level, the t-value can be obtained using t-table and degree of freedom (df) = n - 1 = 11 - 1 = 10df = 10, and level of significance = 0.05

The t-value for a 95% confidence level is 2.262

Margin of error formula:Margin of Error = t*(standard deviation/√n)

Substitute the given values in the formula to get the margin of error:

Margin of Error = 2.262*(4/√11)Margin of Error = 2.262*(1.207)

Margin of Error = 2.74 inches

Confidence interval formula:

The confidence interval is given by,Lower limit = Sample mean - Margin of errorUpper limit = Sample mean + Margin of error

Substitute the given values in the formula to get the confidence interval:Lower limit = 11 - 2.74 = 8.26

Upper limit = 11 + 2.74 = 13.74

Therefore, the confidence interval for the additional growth of plants in one week at a 95% confidence level is [8.26, 13.74].

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The limit of \(\lim_{x \to \infty} \frac{lnx}{x}\)  using L'Hospital rule is 0.

According to the given question.

We have to find the limit of ln(x)/x when x approaches to infinity.

If we let x = ∞, we get an indeterminate form \(\frac{\infty}{\infty}\) ie. \(\frac{ln(x)}{x} = \frac{\infty}{\infty}\).

And, we know that whenever we get indeterminate form ∞/∞ we apply L'Hospital rule.

Therefore, defferentiating numerator ln(x) and x with respect to x.

\(\implies \frac{d(ln(x))}{dx} = \frac{1}{x}\) and \(\frac{d(x)}{dx} =1\)

So,

\(\lim_{x\to \infty}\frac{\frac{1}{x} }{1}\)

\(= \lim_{x \to \infty} \frac{1}{x}\)

As, x tends to ∞, 1/x tends to 0. Because ∞ is very large number and 1 divided by a very large number always approaches to 0 and it is very close to zero.

Therefore,

\(\lim_{x \to \infty} \frac{1}{x} = 0\)

Hence, the limit of \(\lim_{x \to \infty} \frac{lnx}{x}\) is 0.

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To determine the intervals where the function f(x) = ∫x^10(-t^2 + 2t - 3) dt is increasing, we need to follow these steps:

Step 1:To get the derivative of f(x).
Since f(x) is defined as an integral from 10 to x, we can use the Fundamental Theorem of Calculus. The derivative of f(x) is simply the integrand with x replacing t: f'(x) = -x^2 + 2x - 3
Step 2: To get  the critical points.
To find the critical points, we need to set f'(x) equal to 0 and solve for x: 0 = -x^2 + 2x - 3
Step 3: Solve the quadratic equation.
We can solve this quadratic equation using the quadratic formula, factoring, or other methods. In this case, factoring works: 0 = (x - 3)(-x + 1)
The critical points are x = 3 and x = 1.
Step 4: Test the intervals between the critical points.
Now, we will test the intervals between the critical points to see if f'(x) is positive or negative. This will determine if the function is increasing or decreasing.
Interval 1: x < 1
Choose any number in this interval, such as x = 0, and plug it into f'(x):
f'(0) = -(0)^2 + 2(0) - 3 = -3 (which is negative)
Interval 2: 1 < x < 3
Choose any number in this interval, such as x = 2, and plug it into f'(x):
f'(2) = -(2)^2 + 2(2) - 3 = -3 (which is negative)
Interval 3: x > 3
Choose any number in this interval, such as x = 4, and plug it into f'(x):
f'(4) = -(4)^2 + 2(4) - 3 = -7 (which is negative)
The function f(x) is not increasing in any interval.

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Answer:

96+t=264

Step-by-step explanation:

Answer:

35 distance and 8 upm

Step-by-step explanation:

47-12=35

35 divided by 7 = 5

Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = $59,000

Step-by-step explanation:

Let:

Average salary of a bachelor's degree = b

Salary of a master's holder = 2b - 55000

Combined salary of both degrees :

b + (2b - 55000) = 116000

b + 2b - 55000 = 116000

3b = 116000 + 55000

3b = 171000

Divide both sides by 3

3b/3 = 171000/3

b = 57000

Hence,

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = 2(57000) - 55000 = 59,000

Answer: 20.6

Step-by-step explanation:

32.4-11.8=20.6

Check the picture below.

so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.

\(\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}\)

\(\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill\)

The question requires us to prove the following using the characteristic function method:

(A ∪ B) \ C = (A \ C) ∪ (B \ C), where A, B, and C are subsets of X. We use the characteristic function method, which assigns 1 to an element in the subset and 0 to an element not in the subset, and then performs algebraic operations on the characteristic functions.

Let's define the characteristic functions of the sets A, B, and C: χ_A, χ_B, and χ_C, respectively, and X be the universal set.

Using the definition of characteristic functions, we can say that for any element x in X,

\(χ_(A∪B)(x) = χ_A(x) + χ_B(x) - χ_A(x) * χ_B(x),\)

and,

\(χ_(A-B)(x) = χ_A(x) * (1 - χ_B(x)).\)

Now, we can expand the left side of the equation we are supposed to prove:

\((A ∪ B) - C = (A ∪ B) * (1 - χ_C(x))\)

⇒ \(χ_((A∪B)-C)(x) = χ_A(x) * (1 - χ_C(x)) + χ_B(x) * (1 - χ_C(x))\)

⇒ \(χ_((A∪B)-C)(x) = χ_A(x) - χ_A(x) * χ_C(x) + χ_B(x) - χ_B(x) * χ_C(x).\)

Next, we can expand the right side of the equation:

\((A - C) ∪ (B - C) = (A - C) + (B - C)\)

⇒\(χ_((A-C)∪(B-C))(x) = χ_A(x) * (1 - χ_C(x)) + χ_B(x) * (1 - χ_C(x))\)

⇒\(χ_((A-C)∪(B-C))(x) = χ_A(x) - χ_A(x) * χ_C(x) + χ_B(x) - χ_B(x) * χ_C(x).\)

Since both sides of the equation are equal, the proof is complete. Therefore, we have proved that \((A ∪ B) \ C = (A \ C) ∪ (B \ C)\) using the characteristic function method.

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If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

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Answer:

32/40, 4/5

Step-by-step explanation:

All these ratios are follow the ratio 4:5 meaning they are equivalent to "64:80".

8:12=0.666667

16"24=0.666667

120:160=0.75

Answer:

32/40 and 4/5

Step-by-step explanation:

I took the test (sadly) :}

Answer: -20

Step-by-step explanation:

-200/10 = -20

The change in elevation during the first minute would be 20 feet.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

Sarah drove her police car at a constant speed down a mountain. Her elevation decreased by 200 feet over a 10-minute period.

We have to determine the change in elevation during the first minute

This is calculated by dividing the total change in elevation (200 feet) by the total time in minutes (10 minutes).

⇒ 200 feet / 10 minutes = 20 feet/minute.

Thus, the change in elevation during the first minute would be 20 feet.

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The most reasonable estimate of the correlation coefficient is 0.9

The correlation coefficient gives an estimate of how strong is the linear relationship between two variables.

The correlation coefficient, r, is given by the formula;

\(r = \dfrac{\sum(x_i-\overline x)\cdot (y_i-\overline y)}{\sqrt{\sum (x_i-\overline x)^2\sum(y_i-\overline y)^2} }\)

Where;

\(x_i\) = The ith x-value

\(\overline x\) = The mean (average of the x-values)

\(y_i\) = The ith y-value

\(\overline y\) = The mean (average of the y-values)

The give points on the scatter plot graph are;

(8, 9), (6, 9), (6, 6), (5, 5), (4, 5), (3, 4), (3, 3), (2, 4), (1, 2), (1, 3)

Plotting the above points on MS Excel gives;

The equation of the regression line is; y = 0.9407·x + 1.3313

The square of the correlation coefficient, R² = 0.8322

Therefore, R = √(0.8322) ≈ 0.9122

The option that is the most reasonable estimate of the correlation coefficient is therefore; 0.9

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