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3 years ago

Choose the missing exponent to create a polynomial?

1 answer:

5 0

3.

The answers 2 and 4 are incorrect because inserting that ad the missing exponent would create only a trinomial.

-9 is incorrect as it would create something more than a polynomial. 7 is incorrect as, if doing a certain type of division, would result in a larger polynomial.

Hope this helps!

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Hong will run at least 24 miles this week. So far, he has run 16 miles. What are the possible numbers of additional miles he wil

Anna71 [15]

Answer:
8 miles

Steps:
Since he is AT LEAST running 24 miles and he already ran 16. He only had 8 more miles to go. 24 miles is the minimum he is running, he could run more.

4 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

Find the volume of the prism.<br> 3 cm<br> 37 cm<br> 5 cm

vitfil [10]

The answer to your question is 45

5 0

2 years ago

PLEASE HELP ME! g +16/4 - 16 Simplify the variable expression by evaluating its numerical part, and enter your answer below.

Jobisdone [24]

Apex? I just did got this question and I put
g - 4
and got it right ✌️

3 0

3 years ago

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Leona [35]

Answer:

( $\frac{2}{3} , \frac{1}{5}$ )

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

4 0

3 years ago