MATHEMATICS MIDDLE SCHOOL

An element with Mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Answers

Answer 1

Answer:

Answer:

146.6 grams

Step-by-step explanation:

We have been given an element with Mass 630 grams decays by 18.8% per minute.

We will use exponential decay function to solve our given problem.

$y=a\cdot (1-r)^x$ , where,

y = Final amount,

a = Initial amount,

r = Rate of decay in decimal form,

x = Time.

$18.8\%=(18.8)/(100)=0.188$

Substitute the given values:

$y=630\cdot (1-0.188)^7$

$y=630\cdot (0.812)^7$

$y=630\cdot 0.232751347$

$y=146.633349$

$y\approx 146.6$

Therefore, 146.6 grams of the element is remaining after 7 minutes.

Answer 2

Answer:
$630 * {81.2}^(7)$
1.5

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Plzzzzz helps meee I don’t get this

Answers

1 way : 10d + 2d

another way: 5d + 5d + 2d

What is the exact volume of a sphere that has a radius of 7.5 ft?

_____pi ft^3

Answers

sphere formula: $(4)/(3) \pi x^(3)$
$(4)/(3) \pi 7.5^(3)$
$(4)/(3) 421.875 \pi$
562.5 $\pi$
V≈1767.15

The volume of a sphere is 4/3 * pi * radius^3. So the equation is 4/3 * pi * 7.5^3. First of all, 7.5^3 = 421.875. Then you 4/3 * pi * 421.875. 4/3 * 421.875 = 562.5. Then you do 562.5 x pi.
If you use pi as 3.14, then the answer is 1766.25.
If you use pi as 3.14159, then the answer is 1767.144375.
If you're crazy and use pi as 3.141592653589793238462643383279502884197 then the answer is roughly 1767.145867644259.
Hope I helped! :)

What is the value of 3 to the 2 power +5 times+25?

Answers

Answer:

Step-by-step explanation:

3(3)^2 + 5(3) + 25

3*3 = 9, 5*3 = 15

3(9) + 15 + 25

27 + 15 + 25 = 67

Pat has a 10-centimeter length of string she is going to use to measure a small square table. The side length she measures is 5 strings. What are the dimensions of the table? A) what is the area of the table?

B) is that as large as a square meter? Explain

Answers

5 strings means 5 times the lenth of the string, or 5*10cm which is 50 cm.

So the area of the table (which is square) is 50*50=2500cm². or 0.25m²

It's not a full square meter which would be 1 meter by 1 meter or 100cm*100cm=10000cm²

Miles is planning to spend 2/3 as many hrs bicycling this week as he did last week. Is Miles going to spend more hrs or fewer hrs bicycling this week than last week? ( I'm working on comparing fraction factors and products- multiplying fractions)

Answers

He would be spending less time because 2/3 is not a full number. Let's make an equation out of the: 2/3(m). Note: 3(2) means 3 times 2 and the m is the amount of miles biked last week. We could insert the number 3 to our equation. 2/3(3). Now if you do it the proper way, it is 2/3(3/1) and if you do the math it is 6/3 aka 2. And 2 is less than 3. So it is less time spent

miles is going to spend less hours this week

Carter can swim 25 yards of freestyle in 19 seconds what is his speed in words per second?

Answers

Answer:

1.32 yards per second.

Step-by-step explanation:

We have been given that Carter can swim 25 yards of freestyle in 19 seconds. We are asked to find Carter's speed in yards per second.

To find Carter's speed in yards per second, we will divide total distance by total time taken as:

$\text{Carter's speed in yards per second}=\frac{25\text{ yards}}{\text{ 19 seconds}}$

$\text{Carter's speed in yards per second}=\frac{1.31578947\text{ yards}}{\text{seconds}}$

$\text{Carter's speed in yards per second}\approx \frac{1.32\text{ yards}}{\text{seconds}}$

Therefore, Carter's speed is approximately 1.32 yards per second.

25/19 = 1.32 (one point three two) yds per second

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