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Bezzdna [24]
2 years ago
15

Simplify 16 - 12 ÷ 4 +3 (6-2) show working plz ​

Mathematics
1 answer:
ira [324]2 years ago
4 0

Answer:

20

Step-by-step explanation:

16-12/4+3(6-2)      subtract 6 and 2

16-12/4+3+4          divide 12 and 4

16-3+3+4              subtract 16 and 3

13+3+4                 add all 3 numbers

13+7

20

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One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?
Sveta_85 [38]

Answer:

\sqrt{541} \\=x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

\sqrt{541} \\=x

4 0
3 years ago
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Find the mass at time t=0. ANSWER HAS TO BE IN GRAMS
777dan777 [17]

For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

\rm m(t) = 400e^{-0.035t}

a) Plug t = 0

\rm m(0) = 400e^{-0.035\times 0}

m(0) = 400 grams

b) plug t = 20 years

\rm m(20) = 400e^{-0.035\times 20}

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

\rm 200 = 400e^{-0.035t}

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

Learn more about the exponential decay here:

brainly.com/question/14355665

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3 0
2 years ago
Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF
mixas84 [53]

Answer:

<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>

Step-by-step explanation:

Given that Kate begins solving the equation

\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
  • \frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)
  • \frac{2}{3}(3(2x-1))=\frac{1}{2}((2(3x-4))
  • 2(2x-1)=1(3x-2)
  • 2(2x)+2(-1)=1(3x)+1(-2)
  • 4x-2=3x-2

When she adds 2 to both sides, the equation becomes

  • 4x-2+2=3x-2+2
  • 4x=3x

Therefore 4\neq 3

<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
8 0
3 years ago
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Helppppppppppppp plzzzzzzzzz
miv72 [106K]

Answer:

9825

Step-by-step explanation:

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A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the gras
Zanzabum

Answer:

78.5 ft²

Step-by-step explanation:

In this situation, the dog's 5 ft leash is the radius of the circle that he forms.

So, the radius is 5.

Use the area formula, A = \pir². Plug in 5 as r, and 3.14 as \pi

A = \pir²

A = (3.14)(5²)

A = (3.14)(25)

A = 78.5

So, the area of the grass he can cover is 78.5 ft²

7 0
3 years ago
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