You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?

Answers

Answer 1
Answer: You have a bucket 1 gallon big.
To mix cleaner and water you need to divide the bucket's capacity into 4.
It's easy in this case as gallon is divided into quarts (1 gallon is equal to 4 quarts).
Since one part will be a window cleaner, it means that you will need to use 1 quart of the cleaner.  

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Which of the following is equivalent to the expression below? 9^10*9^x

Answers

Answer:

Step-by-step explanation:

a^(m)*a^(n)=a^(m+n)\n\n9^(10)*9^(x)=9^(10+x)

In exponent multiplication, if the bases are same then add the exponents.

\small \sf \leadsto 9 {}^(10 +x)

Step-by-step explanation:

Using exponent's product rule

\small \sf \: x {}^(n)  * x {}^(m)  = x {}^(n + m)

\small \sf  \leadsto \: 9 {}^(10)  * 9 {}^(x)

\small \sf \leadsto 9 {}^(10 + x)

Fred works for $8.75 per hour. His regular hours are 40 hours per week and he gets time and a half for overtime. One week he works 47.5 hours. He wants to calculate his pay.

Answers

For the first 40 hours, he gets 8.75/hour, so 40*8.75 = 350. For the last 7.5 hours, he gets (8.75*1.5)/hour. 8.75*1.5 = 13.125/hour, or 13.13/hour. Then do 13.13/hour * 7.5 hours = 98.48. Now add together 350 and 98.48. That equals $448.48 total for the week

Answer:

350, 13.13/hour, 98.48, 448.48.

Step-by-step explanation:

It's not clear where the answer is above, so I found it and put it here.

Round to the nearest tenth square root of 13

Answers

Square root of 13 rounded to the nearest tenth is 3.6

The square root of 13 is 3.60555, but rounding that to the nearest tenth would be 3.6.

Hope that helped :)

Final answer:

The square root of 13 is approximately 3.60555127546. When rounded to the nearest tenth, this value becomes 3.6.

Explanation:

To find the nearest tenth of the square root of 13, you first need to calculate the square root of 13 using a calculator. The calculator will show that the square root of 13 is approximately 3.60555127546.

To round this to the nearest tenth, look at the second digit after the decimal point which is 0. If this number is 5 or larger, we round up the first digit after the decimal point, if not, we keep it as it is. In this case, the value of the second digit after the decimal point is 0, which is less than 5. Therefore, the square root of 13 rounded to the nearest tenth is 3.6.

Learn more about Square Root Rounding here:

brainly.com/question/35946792

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Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

Answers

This is an example of the difference of squares.

a^2 - b^2 = (a-b)(a+b)

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

(9y^2 - 4x)(9y^2 + 4x)\n\n=(9y^2)^2 -(4x)^2\n\n=\boxed{\bf{81y^4 - 16x^2}}

Which of the following is the graph of f(x) = x2 − 5x + 4?

Answers

Answer:

 refer attachment for the graph.

Step-by-step explanation:

Given: The equation f(x)=x^2-5x+4

We have to draw the the graph for the given equation.

Consider the given equation  f(x)=x^2-5x+4

The vertex of the parabola of the form  f(x)=ax^2+bx+c is given by x=-(b)/(2a)

Here, a = 1 , b = -5 and c = 4

Thus, vertex is

x_v=-(\left(-5\right))/(2\cdot \:1)=(5)/(2)

Also, the y coordinate at x=(5)/(2) is

y_v=\left((5)/(2)\right)^2-5\cdot (5)/(2)+4

Simplify, we get,

y_v=-(9)/(4)

Thus, The vertex of parabola is \left((5)/(2),\:-(9)/(4)\right)

y - intercept is the point where x = 0

Plug x = 0 in given equation f(x)=x^2-5x+4

f(0)=0^2-5(0)+4=4

Thus, y - intercept is (0,4)

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

x^2-5x+4=0

Solving the given quadratic equation using quadratic formula ,we have

x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)

we have a = 1 , b = -5 and c = 4

x_(1,\:2)=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:1\cdot \:4))/(2\cdot \:1)

Simplify, we have,

x_(1,2)=(5\pm√(9))/(2)

Thus, x_1=4, x_2=1

Thus, The x - intercept are (4,0) and (0,1)

Plot the graph and we obtain as shown below.

I made a graph of the equation hope this helps.

Find the product of 1/6 x 3

Answers

Answer: 0.5 or 3/6 or 1/2

Step-by-step explanation:

1/6 x 3 = 1/6 + 1/6+ 1/6 = 3/6 = 1/2