Help please!! I’m confused on this question. Thank you!!!

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000

Answer:   Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)

Step-by-step explanation:

Given: Width of pencil box = \(5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}\)

Width of seven pencils = \(2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}\)

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\(\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}\)

Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil = (Width of seven pencils ) ÷ 7

\(=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)

Answer:

y = -x - 2

Step-by-step explanation:

Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.

Since you are given a point, plug the x and y values in to the equation.

-7 = -(5) + b

Solve for b:

-7 = -5 + b

-2 = b

Knowing "m" and "b", plug these in to get your final equation

y = -x - 2

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

Yes

Step-by-step explanation:

Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.

Answer:

Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.

A reduction has a scale factor between

0 and 1.

(Verified answer)

The rate is found by dividing the cost by the number of pencils:

The unit rate can be found by dividing the numbers to get the amount in dollars a pencil or each pencil cost:

The value of the letter x is equal to 17 considering the triangles in number. 2 and 3 are similar.

To know the value of x, we we first find the length of the base of the smaller triangle in the triangle numbered 3, and then sum the result with x + 7of the base of the larger triangle and equate it to 42 which is the length of the base of the triangle numbered 2 given that both triangles are similar.

Considering the smaller triangle in triangle number 3, we shall apply Pythagoras rule to get the base as follows;

base of smaller triangle = √(30² - 24²)

base of smaller triangle = √(900 - 576)

base of smaller triangle = √324

base of smaller triangle = 18

so the triangle in number 3 has a total base as;

18 + x + 7

Since triangles of number 2 and 3 are similar, we have that;

18 + x + 7 = 42

x + 25 = 42

subtract 25 from both sides

x = 42 - 25

x = 17

Therefore, the value of the letter x is 17 by proper application of Pythagoras rule for right-angled triangle.

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The original fraction is 10/19

Let the fraction be \(\frac{x}{y}\)

Now , according to question

\(\frac{x+2}{y+5}\) =\(\frac{1}{2}\)

⇒ 2(x+2)=y+5

⇒2x-y-1=0-------(1)

and \(\frac{x-4}{y-1}\)=\(\frac{1}{3}\)

⇒3(x-4)=y-1

⇒3x-y-11=0------(2)

subtracting 1 from 2 we get

2x-y-1

3x-y-11

-  +  +

⇒ x=10

putting in (1)

20-y-1=0

y=19

∴ The actual fraction was 10/19

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Answer:

4(-20x+7y-14) .. only one option correct

Step-by-step explanation:

8(-10x+3.5y-7) = -80x + 28y -56

4(-20x+7y-14) = -80x +28y -56

Answer:

Total distance covered= 910 miles

Step-by-step explanation:

Distance = speed x time

Distance covered from home to airport = 70 x 3= 210 miles

Distance covered from airport to destination= 350 x 2= 700 miles

Add them together to get the final answer.

To determine which of the following subsets of P2 are subspaces of P2, you should use the subspace test from the lectures.

For each subset, you need to check if it is closed under vector addition, closed under scalar multiplication, and contains the zero vector. If the subset satisfies all three conditions, then it is a subspace.

For example, the subset S = {2x2+3x+1, x2+3x+2} is a subspace of P2 because it is closed under vector addition (2x2+3x+1 + x2+3x+2 = 3x2+6x+3) and closed under scalar multiplication (2*(2x2+3x+1) = 4x2+6x+2).

Additionally, it contains the zero vector (0x2+0x+0). Therefore, it is a subspace of P2.

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Answer:

Trapezoid

Step-by-step explanation:

The math

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

Two numbers differ by 9 and the sum of their square is 653. What are the numbers?

Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.

However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.

Let the numbers be x and (9+x)

Therefore,according to given,

x^2 + (9+x)^2 =653

=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)

=>x^2 + 81 + x^2 + 18x =653

=>2x^2 + 18x + (81-653)=0

=>2x^2 + 18x - 572=0

=>2x^2 + (44x - 26x) - 572=0

=>2x^2 + 44x - 26x - 572=0

=>2x(x + 22) - 26(x + 22)=0

=>(x + 22)(2x - 26)=0

But since the number can't be negative

Therefore, x=13

Hence,the required numbers are 13 and 22.

Step-by-step explanation:

in first hope you like it

Answer:

Nick

Step-by-step explanation:

Nick: 39 miles / 2 hours = 19.5 miles per hour

Jane: 34 miles / 5 hours = 6.8 miles per hour

Nick is biking faster!

Let's call FC the fixed cost for production and VC the variable cost per item.

The company believes they can sell 2,500 items at $245 each.

Production costs:

For producing 2,500 items, the company has to spend (total cost, TC):

Sells:

Now, company sells eacho of the 2,500 items at $245, so, the company income (I) is:

where x is the number of items sold.

Break-even point:

This point is reached when company can recover the money they spend (TC). So, we have the following eaquation to solve:

Since company can not sell fractions of items, they have to sell 2,164 items to take back the money they invested.

So, "None of these choices are correct".

Answer:

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

A recent study of 750 Internet users in Europe found that 35% of Internet users were women.

This means that \(n = 750, \pi = 0.35\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841\)

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Answer:

The heart beats at an average rate of 65 beats per minute.

Step-by-step explanation:

Have a nice day/night :)

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We can write radicals  \(9^{\frac{3}{2}\) as \((3^2)^{\frac{3}{2}\) forms to help us communicate our answers.

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Suppose, We have a radical \(16^{\frac{1}{4}\).

Now, We know 2⁴ = 16.

So, We can rewrite \(16^{\frac{1}{4}\) as \((2^4)^{\frac{1}{4}\) and multiply the exponents which

results to 1.

Again say we have \(9^{\frac{3}{2}\) and we know 3² = 9, Se we can rewrite \(9^{\frac{3}{2}\) as \((3^2)^{\frac{3}{2}\) , and the exponent multiplies to 3 so it is now 3³ which is 27.

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Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

Answer:

0.5

Step-by-step explanation:

sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long

Answer:

200

Step-by-step explanation:

If 40% are roses than 60% must be sunflowers (40% + 60% = 100%)

We are trying to find 60% of some number is 120.

Let n = the total number of flowers

.6n = 120  Divide both sides by .6

n = 200