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2 years ago

6

Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house

, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?

1 answer:

DIA [1.3K]2 years ago

3 0

She put 2/4 in each can

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The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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3 years ago

What property describes the number sentence 6+0=6

sergejj [24]

Additive identity because that is the property when you add something to 0 and get the same thing

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3 years ago

Read 2 more answers

13u - v + 8 Coefficients.

Aleks04 [339]

Answer:

the coefficient in the equation is 13

Step-by-step explanation:

a coefficient is a number that is in front of a variable. 13 is in front of the variable u so it is the coefficient.

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3 years ago

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An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr

konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 80, \sigma = 5$

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90 - 80}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

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3 years ago

The diagram show the approximate length and width of Nevada. Estimate the area of the state

tester [92]

Area of a triangle is 0.5(base x height)

Base = 320mi

Height= 270+210= 480mi

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3 years ago