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2 years ago

What is the measure of an angle that is the complement of angle K?

Mathematics

1 answer:

telo118 [61]2 years ago

7 0

Answer:

Step-by-step explanation:

Complement = 90

Since 5 is given:

90 - 5 = 85

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A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f

vredina [299]

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0

3 years ago

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago

To find the unit rate for $182

tino4ka555 [31]

Hey there angelinarigole!

Question:
To find the unit rate for $182
----------
14feet

Answer:
Divide both 182 and 14 by 14.

182÷14=$13

14÷14=1

Hope this helps!

-Jayden

4 0

3 years ago

Read 2 more answers

Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).

Lana71 [14]

Answer:

f(x + 1) = x² - x

Step-by-step explanation:

f(x) = x² - 3x + 2 when f(x + 1)

f(x + 1) = (x + 1)² - 3(x + 1) + 2

f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2

f(x + 1) = x² - x + 0

f(x + 1) = x² - x

Best of Luck!

8 0

3 years ago

I need an answer what is 1.03 ÷ (-10.3)=?

Sloan [31]

The answer is $- \frac{1}{10}$
To figure this out, convert both numbers to fractions. 1.03 = 1 $\frac{3}{100}$ and (-10.3) = -10 $\frac{3}{10}$ . Now, convert to improper fractions.
1 $\frac{3}{100} = [tex] \frac{103}{100}$
-10 $\frac{3}{10}$ = $- \frac{103}{10}$
Now, divide. Dividing fractions is the same as multiplying by the reciporical. So:
$-\frac{103}{10} \ becomes\ \frac{10}{103}$
$\frac{103}{100} *- \frac{10}{103} = -\frac{1030}{10300} = - \frac{1}{10}$

5 0

3 years ago