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LuckyWell [14K]
2 years ago
7

Work out(3^5-5^3+2) divided 4^2

Mathematics
1 answer:
professor190 [17]2 years ago
3 0

Given:

(3^5-5^3+2) divided by 4^2.

To find:

The simplified form of the given expression.

Solution:

We have, (3^5-5^3+2) divided by 4^2. Mathematically it can be written as:

\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}

\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}

\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}

\dfrac{3^5-5^3+2}{4^2}=7.5

Therefore, the simplified form of the given expression is 7.5.

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mafiozo [28]
Person born on March 4, 1993.

Today's Date : August 26, 2017.

Your age : 2017 - 1993 = 24.

You are 24 years old.
8 0
3 years ago
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool al
777dan777 [17]

Answer:

6 times

Step-by-step explanation:

Let the number of times you visit the pool = x

At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.

= $24 + $1× x

= 24 + x

If you do not purchase the membership the pool admission is 5 dollars.

= 5 × x

= 5x

Hence:

24 + x = 5x

Collect like terms

24 = 5x - x

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x = 24/4

x = 6 times

The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.

7 0
3 years ago
The diagrams shows a 3cm x 5cm x 4cm cuboid.
Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.  

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o

6 0
3 years ago
I NEED HELP PLS.......
Gekata [30.6K]
-4x - 2.4

explanation: 1.3 - 3.7 = -2.4
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8 0
3 years ago
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Complete the solution of the equation. Find the value of y when x equals 8. 4x+9y=-14
Shtirlitz [24]

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3 years ago
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