How to write 25/4% as a decimal

Answers

Answer 1
Answer: First let's reduce 25/4

25/4 = 6 1/4

Now we can convert 1/4 to hundredths

6 1/4 = 6 25/100

Now just rewrite 25/100 according to place value (twenty-five hundredths is .25)

6 25/100 = 6.25

Now don't forget we are still in percentage (25/4% = 6.25%)

convert to decimal by dividing by 100 ( move decimal 2 places to the left).

6.25% = .0625
Answer 2
Answer: To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
And finally we have:
25/4 as a decimal equals 6.25

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What is the range and domain of the function : y= sqrt(x) -5 ... Can you please explain? Thanks btw the square root is only over the x

Answers

Domain of √(x) - 5 :  x ≥ 25 .

Range of   √x - 5 : y ≥ -5 .

Given,

f(x) = √x - 5

Here,

To find the domain,

√x - 5 ≥ 0

√x ≥ 5

Squaring both sides ,

x ≥ 25 .

Thus domain of √x - 5 is x ≥ 25 .

Range of √x - 5,

To define the range of the function the value of x can not be negative as it will make the function complex .

So,

Range will be ,

y ≥ -5 .

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okay so basically domain =input and range =output. you can never have a negative number underneath the square root sign because it will make the answer imaginary (i), unless you are on that concept. Therefore the range is any number greater than 0. -> all real numbers greater than or = 0

for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5. 

What is the value of z in the equation 3z - 7 = 14?

Answers

1st add 7 to both sides : 3z = 21, 2nd divide both sides with 3: z = 7

X + 1/7 = 5/14 what is the sum of x and what are the steps?

Answers

x + (1)/(7) = (5)/(14)

First, subtract (1)/(7) from both sides.
x =  (5)/(14) - (1)/(7)
Second, find the LCD of the two fraction.
Multiples of 14: 14
Multiples of 7: 7, 14
The LCD is 14.
Third, make the denominators the same as the LCD.
(5)/(14) - (1x2)/(7x2)
Fourth, multiply 1 × 2 to get 2 and 7 × 2 to get 14.
(5)/(14) - (2)/(14)
Fifth, combine the denominators.
(5-2)/(14)
Sixth, subtract 5 - 2 to get 3.
(3)/(14)

Answer as fraction: (3)/(14)
Answer as decimal: 0.2143

Find the square (2m-8)^2

Answers

The value of expression is,

⇒ (2m - 8)² = 4m² - 24m + 64

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The expression is,

⇒ (2m - 8)²

Now,

We know that,

The formula is,

⇒ (a - b)² = a² - 2ab + b²

Hence, We get;

⇒ (2m - 8)² = (2m)² - 2 × 2m × 8 + (8)²

                  = 4m² - 24m + 64

Thus, The value of expression is,

⇒ (2m - 8)² = 4m² - 24m + 64

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(2m - 8)²
(2m - 8)(2m - 8)
2m(2m - 8) - 8(2m - 8)
2m(2m) - 2m(8) - 8(2m) + 8(8)
4m² - 16m - 16m + 64
4m² - 32m + 64

The area of a square is 72. what is the longest straight line that can be drawn between any two points of the square

Answers

The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then

s^2 = 72
s = 6 sqrt(2)

Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square) 

c^2 = a^2 + b^2

Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72

The length of the longest line is 72.
 

Cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years

3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years

4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Answers

Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years


Step-by-step explanation:

Given:- Principal amount= $150

First account represented by the function=f(x)=5x+150→Linear function

Second account represented by the function=g(x)=150(1.03)^x→Exponential function

where x is the time period in years.

When x=3 years

f(3)=5(3)+150=15+150=\$165

g(3)=150(1.03)^3=\$163.90

here, f(x) has the highest value .

When x=10 years

f(10)=5(10)+150=50+150=\$200

g(10)=150(1.03)^(10)=\$201.58

g(x) has the highest value.

Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years