An elevator starts on the 15th floor, then rises 8 floors, drops 10 floors and rises 2 floor. What floor is the elevator on?

Answer:

Please help me answer this problem

Answer:

8y

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

(B)-4

Step-by-step explanation:

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

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Therefore, the new volume comes out to be 787.22 cm3.

The volume of a substance is a measurement of how much space it occupies. Matter is a term used to describe a physical substance that has mass and occupies space. In physical disciplines like chemistry, cubic meters are the standard unit of volume (m3). This yields other units like the litre (L) and milliliter (mL) (mL).

Here,

When the height was raised here by 13 inches, it was equivalent to adding an additional 13 levels, each measuring 56.23 cm3, to the prism that already existed.

Your new volume would therefore be: => 56.23 cm3 + 13 (56.23 cm3) = > 787.22 cm3.

therefore, the new volume comes out to be 787.22 cm3.

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Answer:

C. Substitute 5 for j in the equation

Step-by-step explanation:

22(5)+8s =150

110+8s=150

8s = 40

s=5

or

110+8s=150

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

none of these

Step-by-step explanation:

An equation in the form of direct variation is in the form

y = kx

Checking each equation and substituting the point

-12 = -1/2 (9)

-12 = -4.5  not true

-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5

-12 = -13/5  not true

-12 = 1/3 (9)

-12 = 3  not true

-12 = -3(9)

-12 = -27 not true

Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

answer is 14.

4-(2*-5)

4-(-10)

=4+10

=14.

Answer:

Step-by-step explanation:

\(\tt 4-2(-5)\)

Follow the PEMDAS order of operations:-

P: Parentheses

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

1) Multiply and/ or divide:-

\(\tt 4 -\left(-10\right)\)

2) Addition/Subtraction:-

_____________________

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The measure of the major arc along the perimeter of the circle between Stanley and Frank is 216°

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the measure of the major arc along the perimeter of the circle between Stanley and Frank be A

Now , the number of friends = 10 friends

So , the 6 spaces out of 10 between Stanley and Frank is given by

A = ( 360°/10 ) x 6

On simplifying , we get

A = 36 x 6

A = 216°

Therefore , the value of A is 216°

Hence , the measure of the major arc of the circle is 216°

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Answer:

I confirmed and the answer for the 10 friends is 216. Here u go :)

Step-by-step explanation:

Answer:

Shaded region above a dashed boundary line

Step-by-step explanation:

> This is a greater than symbol. It has no "or equal to" underline under it, so it needs a dashed line for its graph. Because it is a greater than (as opposed to a less than< ) the shaded area will be above the dashed line.

Symbol-Line-Shade

< dashed, below

> dashed, above

<= solid, below

>= solid, above

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

Step-by-step explanation:

40/30=409

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

a) Janet would save $17.20 - $5.60733 = $11.59 by borrowing the money for the printer at 6% to take advantage of the cash discount. b) , the difference in the final payment between choices 1 and 2 is $1,107.60.

a. The cash discount on the printer is calculated as 2% of the list price:

Cash discount = 2% * $860 = $17.20

Using the formula:

Interest = Principal * Rate * Time

Principal = Amount borrowed = List price - Cash discount = $860 - $17.20 = $842.80

Rate = 6% per year = 6%/100 = 0.06

Time = 30 days (since the terms are 2/10, n/30)

To convert the interest to a 360-day basis, we use the formula:

Interest = Principal * Rate * (Time/360)

Interest = $842.80 * 0.06 * (30/360) = $5.60733

Therefore, Janet would save $17.20 - $5.60733 = $11.59 by borrowing the money for the printer at 6% to take advantage of the cash discount.

b. Choice 1 for the computer involves paying $150 per month for 17 months, with the 18th payment paying the remainder of the balance. Choice 2 involves paying 6% interest for 18 months in equal payments.

For choice 1:

Remaining balance = List price - (17 * Monthly payment)

Remaining balance = $4,020 - (17 * $150) = $4,020 - $2,550 = $1,470

For choice 2:

Interest = Principal * Rate * Time

Principal = Amount borrowed = List price = $4,020

Rate = 6% per year = 6%/100 = 0.06

Time = 18 months

To convert the interest to a 12-month basis, we use the formula:

Interest = Principal * Rate * (Time/12)

Interest = $4,020 * 0.06 * (18/12) = $362.40

The final payment difference between choices 1 and 2 is:

Final payment difference = Remaining balance - Interest

Final payment difference = $1,470 - $362.40 = $1,107.60

Therefore, the difference in the final payment between choices 1 and 2 is $1,107.60.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

8

Step-by-step explanation:

We can simplify this expression by solving it.

\(2-(-5)+1\)

Subtracting a negative is the same as adding a positive:

\(2+5+1\)

And addition here shows that \(2+5+1=8\).

Hope this helped!

Answer:

Step-by-step explanation:

\(2-\left(-5\right)+1\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\\\-\left(-5\right)=+5\\\\=2+5+1\\\\2+5=7\\\\= 7+1 \\\\=8\)

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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The rope that have a strength of 256 Pascal has 8 strands.

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value of y and b is the multiplier.

Let f represent the strength of a rope with x woven strands.

Given the exponential function:

f(x) = 2ˣ

For a strength of 256 Pascal:

256 = 2ˣ

xlog(2) = log(256)

x = 8

The rope that have a strength of 256 Pascal has 8 strands.

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Answer:

Step-by-step explanation: q=o

Answer:

c is the answer.

Step-by-step explanation:

Answer:

The answer is 14512

Step-by-step explanation:

106,688

- 89,176

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

D.

Step-by-step explanation:

Recall that the limit definition of a derivative at a point is:

\(\displaystyle{\frac{d}{dx}[f(a)]= f'(a) = \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}\)

Hence, if we let f be ln(x + 1) and a be 1, this yields:

\(\displaystyle f'(1)= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}\)

Hence, the limit is equivalent to the derivative of f at x = 1 or f’(1).

In conclusion, our answer is D.

The value of 375 grams of a 12% solution is 45 grams.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Based on the information given, it should be noted that in order to calculate the value of the grams, we simply need to multiply the value of the percentage that's is given by the number of grams that's given.

In this case, the value of the gram will be:

= Percentage given × Total grams

= 12% × 375 grams

= 0.12 × 375 grams

= 45 grams.

Therefore, the value will simply be 45 grams.

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Answer:

45

Step-by-step explanation:

375*0.12=45

The notation for the translation is (x, y) → (x + 2, y + 2)

The translations are given as:

The above implies that we add 2 to the x coordinate and 2 to the y coordinate.

So, we have:

(x, y) → (x + 2, y + 2)

Hence, the notation for the translation is (x, y) → (x + 2, y + 2)

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The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

Both to the left and to the right of the graph, the function decays, hence the end behavior of the function is given as follows:

As x -> ∞, f(x) -> -∞.

The zeros of the function are given as follows:

Four real zeros with odd multiplicity, meaning that the least degree is of 4 x 1 = 4, which is an even degree.

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