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2 years ago

Please answer quickly

Mathematics

1 answer:

uranmaximum [27]2 years ago

3 0

Answer:

Given,

Area of the Square = ( x² - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

You might be interested in

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in:

$-3.8=\pi(2)(13)\frac{dD}{dt}$ and solving for the rate at which the diameter is changing:

$-\frac{3.8}{26\pi}=\frac{dD}{dt}$ and divide to get

$\frac{dD}{dt}=-.459\frac{cm}{min}$ Obviously, the negative means that the diameter is decreasing.

7 0

3 years ago

The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th

Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

The question is incomplete:

"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

$s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16$