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Hoochie [10]
2 years ago
14

What is the solution of (4x-16)1/2=36^

Mathematics
2 answers:
MArishka [77]2 years ago
8 0

Answer:

Answer is  x=328 .

Step-by-step explanation:

solution= (4x-16)^1/2=36

squaring both sides we get

 4x-16=129

 4x=1296+16

 x=(1296+16)/4

  x=328 .

yarga [219]2 years ago
8 0

Answer:

x = 328

Step-by-step explanation:

The given equation is

(4x-16)^{\frac{1}{2}}=36

We need to find the solution of the given equation.

Taking square on both sides.

((4x-16)^{\frac{1}{2}})^2=(36)^2

(4x-16)^{\frac{2}{2}}=1296

4x-16=1296

Add 16 on both sides.

4x-16+16=1296+16

4x=1312

Divide both sides by 4.

x=\dfrac{1312}{4}

x=328

Therefore, the value of x is 328.

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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
2 years ago
there is 4/5 lb of sand in the class science supplies. if one scoop of sand weighs 1/20 lb, how many scoops of sand can maria ge
Harman [31]
<span>With the bag having 4/5 lb currently in it, this can be translated to 16/20 lb. Maria wants to scoop out sand until the bag has 1/2 lb, which is 10/20 lb. The scoop that Maria uses is 1/20 lb, so using the equation of 16-10 = 6, Maria can get 6 scoops of sand before the bag contains 1/2 lb.</span>
7 0
2 years ago
"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi
Vika [28.1K]
0.25 inches represents 1 mile

----------------------------------------------
Find 1 inch:
----------------------------------------------
1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

----------------------------------------------
Find 3.75 inches:
----------------------------------------------
1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles

----------------------------------------------
Find 2.25 inches:
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1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles

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Find Area:
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Area = Length x Width
Area = 15 x 9 
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Answer: 135 miles²
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6 0
2 years ago
Read 2 more answers
At what rate would you need to invest $12000 and make $2880 after 8 years?
lora16 [44]

Answer:

3\%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

substitute in the formula above

2,880=12,000(8r)

Solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to percent form

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4 0
2 years ago
Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4
Llana [10]

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

<span> </span>

6 0
2 years ago
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