In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.

Step-by-step explanation:

Let A be the point at which the graph y=x²+3x-18

intersect the x-axis

As the graph intersects x-axis it's coordinate will be (x,0)

putting the value of y =0

x²+3x-18=0

x²+6x-3x-18=0

x(x+6)-3(x+6)=0

(x+6)(x-3)=0

x=-6, or,x=3

The point A maybe (-6,0) or (3,0)

Answer:

[tex]F(2)= \frac{1}{32} [/tex]

Step-by-step explanation:

The given function is

[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]

We multiply the exponent in the denominator to get:

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]

We evaluate to get:

[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]

We now cancel the common factors to get:

[tex]F(2) = \frac{1}{32} [/tex]

Answer:

not 100% sure

Step-by-step explanation:

40÷3=13.3 minutes

Answer:

Step-by-step explanation:

if you want the ratio 40 seconds to 3 minutes

3 minutes=60×3=180 seconds

40 seconds to 180 seconds=40/140=2/9

or 2:9

Solution:

Given that,

[tex]y = 4.50x[/tex]

We have to find the constant of proportionality in the equation

We know that,

When y varies directly with x, then

[tex]y \propto x\\\\y = kx ---- eqn\ 1[/tex]

Where, "k" is constant of proportionality

From given,

y = 4.50x

Compare the above equation with eqn 1,

Thus, constant of proportionality in the equation y = 4.50x is 4.50

f(x) - g(x) =  [tex]-2x^{3}+2x^{1/2}[/tex]

Step-by-step explanation:

Given :

f(x) - g(x) = ([tex]x^{1/2} -x[/tex]) - ( [tex]2x^{3} -x^{1/2} -x[/tex])

⇒ ([tex]x^{1/2} -x[/tex][tex]-2x^{3}+x^{1/2} +x[/tex])

⇒ [tex]-2x^{3}+2x^{1/2}[/tex]

f(x) - g(x) =  [tex]-2x^{3}+2x^{1/2}[/tex]

Answer:

m=3/4

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=9−(3)/5−(−3)

Simplify.

m=3/4

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

[tex]m=\frac{9-3}{5-(-3)}\\m=\frac{6}{5+3} \\m=\frac{6}{8}\\m=\frac{3}{4}[/tex]

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

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Step-by-step explanation:

[tex]6x+3y=12\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x-6x+3y=12-6x\\\\3y=12-6x\qquad\text{divide both sides by 3}\\\\\dfrac{3y}{3}=\dfrac{12}{3}-\dfrac{6y}{3}\\\\\large\boxed{y=4-2y}\\\\===================[/tex]

[tex]2p-k=3\qquad\text{subtract}\ 2p\ \text{from both sides}\\\\2p-2p-k=3-2p\\\\-k=3-2p\qquad\text{change the signs}\\\\k=-3+2p\\\\\large\boxed{k=2p-3}\\\\===================[/tex]

[tex]6v-2w=10\qquad\text{subtract}\ 6v\ \text{from both sides}\\\\6v-6v-2w=10\\\\-2w=10-6v\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2w}{-2}=\dfrac{10}{-2}-\dfrac{6v}{-2}\\\\w=-5+3v\\\\\large\boxed{w=3v-5}\\\\===================[/tex]

Answer:

Step-by-step explanation:

A net is a drawing that shows the edges and faces of a solid in two dimensions. You can think of a net as what you would get if you “unfolded” a solid. ... The net is made of three congruent rectangles and two congruent equilateral triangles. The surface area is the sum of the areas of the five shapes.

Answer:

three-dimensional figure that represents a cylinder

Step-by-step explanation:

Answer:

AB = [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 theorem, usually x is used to explain but I will use y since x is in your problem, just substitute any variable for y

in a 30 -60 -90 triangle

the length opposite the 30 degrees is y

the length opposite the 60 degrees is y[tex]\sqrt{3}[/tex]

the length opposite the 90 degrees is 2y

since y[tex]\sqrt{3}[/tex] = 6

y = 6/[tex]\sqrt{3}[/tex]

rationalizing the denominator

[tex]\frac{6}{\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}}[/tex] = [tex]\frac{6\sqrt{3} }{3} = 2\sqrt{3}[/tex]

if y = [tex]2\sqrt{3}[/tex], 2y = [tex]4\sqrt{3}[/tex]

Answer:

answer is A

Step-by-step explanation:

50 seconds

Recall the equation

d=rt

Distance = rates times time.

We have a single distance, 400m

We have two different rates 1 1/3 m/s and 1.6 m/s

Let's calculate the time for each rate

t = d/r

t = 400/(1 1/3) = 300 seconds

t = 400/1.6 = 250 seconds

By increasing his average speed, Alex will reduce his time by

300-250 = 50 seconds.

Answer:

18 times i believe hope it help  

Step-by-step explanation:

Answer:

answer is 6

Step-by-step explanation:

thank the guy in the comments box

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

Hope This Helps!!!!!!!!!!!!!!

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

Answer:

3.5 kilometers per/hour

Step-by-step explanation:

6/4= 1.5

1.5+2=3.5

Answer:

20.4

Step-by-step explanation:

20.35185185185185

You have to round it because in the hundredth place #5 is over 5 so, it rounds so the answer is 20.4.

Anything more than 5, 6, 7, 8, 9 ^ rounds.

To calculate the total cost for a 660 feet fence by Company 2, subtract the initial 550 feet covered by the flat fee from the total length, multiply the additional feet by the per-foot cost, and add the flat fee to get the final cost, which is $7790.

The student is asking about calculating the total cost for installing fencing, which involves initial fees and additional per unit costs. In this case, Company 2 charges a flat fee for the first 550 feet of fence and then an additional fee for each foot beyond that.

To find the total cost when Company 2 installs a fence of 660 feet, we first calculate the number of feet beyond the initial 550 feet. This is 660 - 550 = 110 feet. Then, we multiply the additional feet by the cost per additional foot: 110 feet x $29/foot = $3190.

Lastly, we add the initial flat fee of $4600 to the cost for the additional feet to get the total cost: $4600 + $3190 = $7790.

Answer:

The correct answer is B. $ 29,555.50

Step-by-step explanation:

Let's calculate A, using the formula provided, this way:

A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ, where:

P is the month payment = 725

r is the monthly interest rate = 0.0825/12 = 0.006875

n is  the the number of months to pay = 4 * 12 = 48

Replacing with the values we know, we have:

A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ

A = 725 * [(1 +0.006875 )⁴⁸ - 1]/0.006875 * (1 +0.006875 )⁴⁸

A = 725 * 0.38939833/0.006875 * 1.38939833

A = 282.313789/0.009552114

A = 29,555.50

The correct answer is B. $ 29,555.50

The correct option is B. [tex]\$29555.50[/tex]. The maximum loan Chase can afford, while making monthly payments of [tex]\$725[/tex] for [tex]4[/tex] years at an [tex]8.25\%[/tex] annual interest rate.

Given:

Monthly payment [tex]\( P = $725 \)[/tex]

Annual interest rate [tex]\( r = 8.25\% \)[/tex] or [tex]\( 0.0825 \)[/tex] as a decimal

Number of payments per year [tex]\( n = 12 \)[/tex] (since monthly payments)

Number of years [tex]\( t = 4 \)[/tex]

The formula to calculate the present value [tex]\( A \)[/tex] of the loan is:

[tex]\[ A = P \times \frac{1 - (1 + \frac{r}{n})^{-nt}}{\frac{r}{n}} \][/tex]

Now, substitute the given values

[tex]\[ A = 725 \times \frac{1 - (1 + \frac{0.0825}{12})^{-12 \times 4}}{\frac{0.0825}{12}} \][/tex]

First, calculate [tex]\( \frac{r}{n} \)[/tex]

[tex]\[ \frac{0.0825}{12} = 0.006875 \][/tex]

Next, calculate [tex]\( (1 + \frac{r}{n})^{-nt} \)[/tex]

[tex]\[ (1 + 0.006875)^{-48} = 0.7221 \][/tex]

Now substitute these values into the formula for [tex]\( A \)[/tex]

[tex]\[ A = 725 \times \frac{1 - 0.7221}{0.006875} \][/tex]

[tex]\[ A = 725 \times \frac{0.2779}{0.006875} \][/tex]

[tex]\[ A = 725 \times 40.4218 \][/tex]

[tex]\[ A = 29555.50 \][/tex]

Answer: B) 1 second

Step-by-step explanation:

plug 16 (final height) into the equation given:

16=-16t^2+8t+24, and solve for t.

x will equal -1/2 or 1

disregard the negative because you can’t have time.

To reach 16 feet above the water, you would reach that height after approximately 1/2 second. Option C

To find when you would reach 16 feet above the water, set the function h(t) equal to 16 and solve for t:

-16t2 + 8t + 24 = 16

Combine like terms to get:

-16t2 + 8t + 8 = 0

Now, you can use the quadratic formula to solve for t:

t = (-b ± √(b2 - 4ac)) / (2a)

Plug in the values of a, b, and c from the equation:

t = (-8 ± √(82 - 4(-16)(8))) / (2(-16))

Simplify the expression inside the square root and solve for t to get the answer:

t ≈ 1/2 second

Option C

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Answer: p = 0.23

Step-by-step explanation:

-10 + 20p + 6p =-16

To find the value of p

Step 1: combine like terms

20p + 6p = -16 + 10

26p = 6

Divide both sides by 26

p = 6/26

P= 0.23

I hope this helps.

Answer:

p = -3/13

Explanation:

1. add 10 onto right side

2. combine like terms

3. divide by 26 to get p by itself

4. simplify

Answer:

A) Linear

Step-by-step explanation:

For a linear relation, there will be a constant rate of change

For an exponential relationship, there will be a multiplicative rate of change.

For x-values, there is a constant difference of

[tex]d = 4 - - 3 = 11 - 4 = 18 - 11 = 7[/tex]

For the y-values, there is a constant difference of

[tex]b = 1 - - 3 = 5 - 1 = 9 - 5 = 4[/tex]

The rate of change of the function represented by the table is

[tex]m = \frac{change \: in \: y}{change \: in \: x} = \frac{4}{7} [/tex]

The equation can be derived as:

[tex]y + 3 = \frac{4}{7} (x + 3)[/tex]

This is a linear relationship

Answer:

plot the first point on -3 3/4 which is 1 line to the left of -3 and the second on 3/2 which is 1 1/2 or 1 1 2/4 which is in the middle of 1 and 2

Step-by-step explanation:

Answer:

The answer is 90

The value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have given an expression:

10!/(10 - 2)!

The sign '!' represents the factorial of the number.

As we know,

If factorial of any number can be evaluated:

n! = n(n - 1)(n - 2)(n - 3)(n - 4).......1

10! = 10×9×8×7×6×5×4×3×2×1

or

10! = 90(8!)

(10 - 2)! = 8!

= 90(8!)/(8)!

90

8! is canceled out from the numerator and denominator

Thus, the value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

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Answer: True

Step-by-step explanation:

769.5/142.5 = 5.4

Answer:

d. 3 liters

Step-by-step explanation:

divide the amount of water by the amount of players to get the answer

27 ÷ 9 = 3

Answer:

D) 3 Liters

Step-by-step explanation:

We know that Frank has 27 liters of water, and he needs to divide it into equal amounts for 9 players. To find out how much water each of the 9 players will get, we can set up an equation like this:

(Amount of water) ÷ (Number of players) = (How much water each player gets)

Now we insert the numbers into this equation:

27 ÷ 9 = 3

So each player will get 3 liters of water

Hello!

The answer is 20/60 simplest form is 1/3

To get 20/60 you must multiply the Numerator by Numerator (4*5) and Denominator by Denominator (5*12). Your answer will be 20/60.

To get 1/3 you must simplify a number that can go into 20 and 60 (which is 10). Divide 20/10 and 60/10 and get 2/6. Simplify 2/6 by 2 and get 1/3.

Answer:

3 positions to the right.

Step-by-step explanation:

1000 * 6.093

= 6093.

Answer:

Move 3 places to the right

Step-by-step explanation:

I hope I helped :)

Answer:

2880 km

Step-by-step explanation:

(distance) = (rate)*(time).

Here we have:

(distance traveled) = (720 km/hr)(4 hrs) = 2880 km

i dont wanna just give away the answer so heres a hint

#x stands for # X x  or # times x

x is a vairable so the x+13 part will be #+13

figure out what the number is then if you still need help ask me again