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4 years ago

After m months, the height of a plant is 10 + 3m millimeters. How tall is the plant after eight months? three years?

1 answer:

4 0

Height for m months = 10 + 3m millimeters

You basically just have to plug in the number of months in the variable m.

So for 8 months

Height for 8 months = 10 + 3x8 millimeters
Height for 8 months = 10 + 24 millimeters
Height for 8 months = 34 millimeters

For 3 Years.
There are 12 months in 1 year.
For 3 years there are 12 x 3 = 36 months

Plug it into the equation
Height for 36 months = 10 + 3x36
Height for 36 months = 10 + 108
Height for 36 months = 118 millimeters

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Find the domain of the function

Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

$f(x)=\frac{1}{\sqrt{4-x} }$

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0

3 years ago

Solve for x: x2 = 16

Paha777 [63]

Answer:

Step-by-step explanation:

to get x alone you divide the 2 away on both sides, getting x = 8. To check multiply 8 by 2 and you get 16.

Hope this helps!

7 0

3 years ago

Read 2 more answers

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

3 0

2 years ago

One.

Colt1911 [192]

I don’t know sjsusjsi

3 0

3 years ago

A grocery store chain has been tracking data on the number of shoppers that use coupons. the data shows that 71% of all shoppers

sashaice [31]

The confidence interval comes out to be (0.685,0.735).

Calculating the Confidence Level and Other Terms

The confidence level can be calculated as follows,

z = $\frac{36}{40} * 100%$ %

z = 90 %

The margin error is given as, E= 0.025

The p value in this case is 0.71

Calculating the Confidence Interval

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Confidence interval can be obtained by using the following formula,

(p-E, p+E) = (0.71-0.025, 0.71+0.025).

Therefore, the confidence interval is (0.685, 0.735).

Learn more about confidence interval here:

brainly.com/question/24131141

#SPJ4

3 0

2 years ago