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3 years ago

9

max has 6 cartons. in each carton,he places 6 bags. in each of the bags, he places 6 cookies. how many cookies are contained in

the cartons? use an exponent to write the answer

1 answer:

Elenna [48]3 years ago

6 0

6^3 (6 to the third power) because it is 6 x 6 x 6

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A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0

3 years ago

Pls answer correctly thank you

Marat540 [252]

Top left 127
top middle 57
top right 118

bottom left 30
bottom middle 65
bottom right 36

4 0

3 years ago

A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.

photoshop1234 [79]

The correct choice would be 128.

If there are 6 options and the person can pick any number of toppings, we need to know the number of subsets that can be formed with 6. That would be 2^6 or 64.

Since there is a pan or hand-tossed option, we need to multiply 64 by 2 to find the total.
64 x 2 = 128

8 0

3 years ago

What is X equal to ?

yanalaym [24]

Answer:

the two possibilities are either 35.5m orrr 65m

Step-by-step explanation:

8 0

3 years ago

What is the percent increase between getting a high school scholarship and bachelors degree when high school scholarship is $421

gogolik [260]

Answer:

The percent increase between getting a high school scholarship and bachelor's degree is <u>59.14%</u>.

Step-by-step explanation:

Given:

High school scholarship is $421.

Bachelor's degree is $670.

Now, to find the percent increase between a high school scholarship and bachelor's degree.

So, we get the amount of increase between a high school scholarship and bachelor's degree.

$670-421=249.$

<em>Thus, the amount of increase = $249</em>.

Now, to get the percent increase between a high school scholarship and bachelor's degree:

$\frac{249}{421}\times 100$

$=\frac{24900}{421}$

$=59.14\%.$

Therefore, the percent increase between getting a high school scholarship and bachelor's degree is 59.14%.

7 0

3 years ago