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kow [346]
2 years ago
10

An element with a mass of 320 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there

are 200 grams of the element remaining?
Mathematics
1 answer:
HACTEHA [7]2 years ago
7 0

Answer:

X=9

Step-by-step explanation:

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A plant is 2 inches tall. In sunlight, the plant grows 1 inch each week. At the end of the 4th week, the plant is placed in a da
babunello [35]
I would label the x-axis with a scale 1-10 weeks and the y-axis with inches grown. The graph starts at 2inches because it’s the height of the plant. For the next 4 weeks there will be a growth of 1 inch a week (reaching 6) than the line stays at the height for 2 weeks until it gets sunlight again for 3 more weeks making it grown 3 more inches and repeats the process again.
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2 years ago
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A baker needs 8 1/2 cups of flour for a sheet cake recipe. He has 4 2/3 cups of flour in a canister and buys 5 1/4 cups more.
Juli2301 [7.4K]

Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

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2 years ago
A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dx/dt
yaroslaw [1]

Answer:

\displaystyle y'=-\frac{9}{2}

Step-by-step explanation:

<u>Differentiation</u>

We have a relationship between x and y as follows:

x^2+y^2=25

Both variables depend on time t for t≥0.

Differentiating with respect to time:

(x^2)'+(y^2)'=(25)'

Applying the derivative of a power function:

2xx'+2yy'=0

Recall the derivative of a constant is 0.

Dividing by 2:

xx'+yy'=0

Solving for y':

\displaystyle y'=-\frac{xx'}{y}

At some specific time, we have:

x=3, y=4, dx/dt = x' = 6. Substituting:

\displaystyle y'=-\frac{3\cdot 6}{4}

Operating:

\displaystyle y'=-\frac{18}{4}

Simplifying:

\mathbf{\displaystyle y'=-\frac{9}{2}}

8 0
2 years ago
Write the phrase as a rate in simplest form. 320miles on 34gallons
Katena32 [7]

Answer:

160/17 miles per gallon

Step-by-step explanation:

The typical rate of distance and gallons is distance per gallons, so divide the distance by the number of gallons.

(320 miles)/(34 gallons) = 160/17 miles per gallon

7 0
2 years ago
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A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings? 6 cups 3 and o
Vlad [161]

Answer:

3 1/3 cups of flour

Step-by-step explanation:

20/4 = 5

20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.

5 * 2/3 = 10/3 = 3 1/3

Answer: 3 1/3 cups of flour

6 0
2 years ago
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