find the total surface area of this square based pyramid.

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

Answer:

D and E

Step-by-step explanation: Math

Answer:

d and e

Step-by-step explanation:

419.56-75.68=343.88

199.75+143.712=343.462

Answer:

600

Step-by-step explanation:

.7x = 420

x = 420/0.7

x = 600

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

Answer:

$9052

Step-by-step explanation:

a= starting car price

(1-r)= exponential decay

r= rate

t= # of years

Equation:

a(1-r)^t

Plug in the numbers.

a= 24000   r=15%=0.15   (1-r)= 1-0.15 = 0.85  

a(1-r)^t      =      24000(0.85)^6

               =    24000(0.37714951562)

                  = 9051.588375

                    = 9052

Answer:

1/5

Step-by-step explanation:

░░░░░░▄▄▄▄▀▀▀▀▀▀▀▀▄▄▄▄▄▄▄

░░░░░█░░░░░░░░░░░░░░░░░░▀▀▄

░░░░█░░░░░░░░░░░░░░░░░░░░░░█

░░░█░░░░░░▄██▀▄▄░░░░░▄▄▄░░░░█

░▄▀░▄▄▄░░█▀▀▀▀▄▄█░░░██▄▄█░░░░█

█░░█░▄░▀▄▄▄▀░░░░░░░░█░░░░░░░░░█

█░░█░█▀▄▄░░░░░█▀░░░░▀▄░░▄▀▀▀▄░█

░█░▀▄░█▄░█▀▄▄░▀░▀▀░▄▄▀░░░░█░░█

░░█░░░▀▄▀█▄▄░█▀▀▀▄▄▄▄▀▀█▀██░█

░░░█░░░░██░░▀█▄▄▄█▄▄█▄▄██▄░░█

░░░░█░░░░▀▀▄░█░░░█░█▀█▀█▀██░█

░░░░░▀▄░░░░░▀▀▄▄▄█▄█▄█▄█▄▀░░█

░░░░░░░▀▄▄░░░░░░░░░░░░░░░░░░░█

░░▐▌░█░░░░▀▀▄▄░░░░░░░░░░░░░░░█

░░░█▐▌░░░░░░█░▀▄▄▄▄▄░░░░░░░░█

░░███░░░░░▄▄█░▄▄░██▄▄▄▄▄▄▄▄▀

░▐████░░▄▀█▀█▄▄▄▄▄█▀▄▀▄

░░█░░▌░█░░░▀▄░█▀█░▄▀░░░█

░░█░░▌░█░░█░░█░░░█░░█░░█

░░█░░▀▀░░██░░█░░░█░░█░░█

░░░▀▀▄▄▀▀░█░░░▀▄▀▀▀▀█░░█

░░░░░░░░░░█░░░░▄░░▄██▄▄▀

░░░░░░░░░░█░░░░▄░░████

░░░░░░░░░░█▄░░▄▄▄░░▄█

░░░░░░░░░░░█▀▀░▄░▀▀█

░░░░░░░░░░░█░░░█░░░█

░░░░░░░░░░░█░░░▐░░░█

░░░░░░░░░░░█░░░▐░░░█

░░░░░░░░░░░█░░░▐░░░█

░░░░░░░░░░░█░░░▐░░░█

░░░░░░░░░░░█░░░▐░░░█

░░░░░░░░░░░█▄▄▄▐▄▄▄█

░░░░░░░▄▄▄▄▀▄▄▀█▀▄▄▀▄▄▄▄

░░░░░▄▀▄░▄░▄░░░█░░░▄░▄░▄▀▄

░░░░░█▄▄▄▄▄▄▄▄▄▀▄▄▄▄▄▄▄▄▄█

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that [tex]p = 0.304[/tex]

100 such adults

This means that [tex]n = 100[/tex]

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Answer:

36x

Step-by-step explanation:

To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x

hope this helped :)

Answer:

[tex]\frac{69420}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.

Answer:

Step-by-step explanation:

32 cm

Answer:

24

Step-by-step explanation:

120/6=20

300/15=20

360/18=20

480/20=24

Check:

480/24=20

Answer: 20???

Step-by-step explanation:

Answer: 4 7/6

Step-by-step explanation:

Answer:

Distance is 10

Step-by-step explanation:

The x distance is 8 - 0 = 8

The y distance is 4 - (-2) = 6

Full distance is [tex]\sqrt{6^2+8^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

Answer:

The distance between the points is 10.

Answer:

The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent

Step-by-step explanation:

Answer:

H⁣⁣⁣⁣⁣ere's l⁣⁣⁣⁣ink t⁣⁣⁣⁣o t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer:

...................

Step-by-step explanation:

Answer:

B) b=13

Step-by-step explanation:

13-4x is the same as -4x+13

Answer:

j

Step-by-step explanation:

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

[tex]10^2=(6)^2+h^2[/tex]

[tex]100=36+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]64=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

The lateral area of a cone is:

[tex]A_L=\pi rl[/tex]

[tex]A_L=\pi (6)(8)[/tex]

[tex]A_L=48\pi[/tex]

The surface area of a cone is:

[tex]A_S=\pi rl+\pi r^2[/tex]

[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]

[tex]A_S=48\pi +36\pi[/tex]

[tex]A_S=84\pi[/tex]

Volume of cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]

[tex]V=\dfrac{288}{3}\pi [/tex]

[tex]V=96\pi [/tex]

Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.

Answer:

$3.25 per gallon

Step-by-step explanation:

Answer: he paid 3.25 for each gallon

Step-by-step explanation:

Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25

Answer:

One Way: 79 + 62H + 15H = X

Second Way: 79 + ((62 + 15) x H) = X

Step-by-step explanation:

Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

79 + 62H + 15H = X

So, for example, if the job had lasted 2 hours, the equation would apply as follows:

79 + 62x2 + 15x2 = X

79 + 124 + 30 = X

233 = X

79 + ((62 + 15) x H) = X

In the case, if the work had lasted 1 hour, the equation would apply as follows:

79 + (62 + 15) x 1) = X

79 + 77 x 1 = X

79 + 77 = X

156 = X

The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.

There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.

Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour

$79 + $62h + $15h

= $79 + $77h

Total charge when there is no emergency = one-time service fee + labor charge per hour

$79 + $62h

To learn more about how to determine total charge, please check: https://brainly.com/question/25879561

Answer:

P(h, k) → P'(k, -h)

Step-by-step explanation:

Rule to be followed,

If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,

P(h, k) → P'(k, -h)  

Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.

Answer:I hope the following example will help you

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Range is the output values which are the y values.

The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.

The range would be 2 to infinity.

(2, infinity)

Answer:

Ok 9-8=1 times 2 = 2

Step-by-step explanation:

Answer:

x^3−5x+3x^2−15

Step-by-step explanation:

Common math

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

Answer:

Step-by-step explanation:

2x - 5 ≤ 6

Add 5 to both sides

2x -5 +5 ≤ 6 +5

2x ≤ 11

Divide both sides by 2

2x/2 ≤ 11/2

x ≤ 5.5

Answer:

C

Step-by-step explanation:

[tex] {x}^{3} + 12 {x}^{2} + 36x \\ = x( {x}^{2} + 12x + 36) \\ = x( {x + 6)}^{2} [/tex]