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3 years ago

12% 0f 72 is what number

Mathematics

1 answer:

earnstyle [38]3 years ago

7 0

12% of 72 is:

=12×72/100

=8.64

So the 12% of 72 is 8.64 is your answer.

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HELPP PLEASE 12 POINTS !! <br><br> Which sentence can represent the inequality ?

BabaBlast [244]

Answer

last one

Step-by-step explanation:

3 0

3 years ago

Which is the best linear model for the data shown in the scatter plot?

Studentka2010 [4]

The best linear model for the data that's illustrated will be y = 10x + 5

<h3>What is a linear model?</h3>

It should be noted that a linear model simply means model where the terms are added. It should be noted that this can be used in connection with the regression model.

Here, the best linear model for the data will be:

= (10 × x) + 5

= 10x + 5

Therefore, the best linear model for the data that's illustrated will be y = 10x + 5.

Learn more about model on:

brainly.com/question/25987747

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3 0

1 year ago

A box designer has been charged with the task of determining the surface area of various open boxes (no lid) that can be constru

Viktor [21]

Answer:

1) $S = 2\cdot w\cdot l - 8\cdot x^{2}$ , 2) The domain of S is $0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}$ . The range of S is $0 \leq S \leq 2\cdot w \cdot l$ , 3) $S = 176\,in^{2}$ , 4) $x \approx 4.528\,in$ , 5) $S = 164.830\,in^{2}$

Step-by-step explanation:

1) The function of the box is:

$S = 2\cdot (w - 2\cdot x)\cdot x + 2\cdot (l-2\cdot x)\cdot x +(w-2\cdot x)\cdot (l-2\cdot x)$

$S = 2\cdot w\cdot x - 4\cdot x^{2} + 2\cdot l\cdot x - 4\cdot x^{2} + w\cdot l -2\cdot (l + w)\cdot x + l\cdot w$

$S = 2\cdot (w+l)\cdot x - 8\cdpt x^{2} + 2\cdot w \cdot l - 2\cdot (l+w)\cdot x$

$S = 2\cdot w\cdot l - 8\cdot x^{2}$

2) The maximum cutout is:

$2\cdot w \cdot l - 8\cdot x^{2} = 0$

$w\cdot l - 4\cdot x^{2} = 0$

$4\cdot x^{2} = w\cdot l$

$x = \frac{\sqrt{w\cdot l}}{2}$

The domain of S is $0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}$ . The range of S is $0 \leq S \leq 2\cdot w \cdot l$

3) The surface area when a 1'' x 1'' square is cut out is:

$S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1\,in)^{2}$

$S = 176\,in^{2}$

4) The size is found by solving the following second-order polynomial:

$20\,in^{2} = 2 \cdot (8\,in)\cdot (11.5\,in)-8\cdot x^{2}$

$20\,in^{2} = 184\,in^{2} - 8\cdot x^{2}$

$8\cdot x^{2} - 164\,in^{2} = 0$

$x \approx 4.528\,in$

5) The equation of the box volume is:

$V = (w-2\cdot x)\cdot (l-2\cdot x) \cdot x$

$V = [w\cdot l -2\cdot (w+l)\cdot x + 4\cdot x^{2}]\cdot x$

$V = w\cdot l \cdot x - 2\cdot (w+l)\cdot x^{2} + 4\cdot x^{3}$

$V = (8\,in)\cdot (11.5\,in)\cdot x - 2\cdot (19.5\,in)\cdot x^{2} + 4\cdot x^{3}$

$V = (92\,in^{2})\cdot x - (39\,in)\cdot x^{2} + 4\cdot x^{3}$

The first derivative of the function is:

$V' = 92\,in^{2} - (78\,in)\cdot x + 12\cdot x^{2}$

The critical points are determined by equalizing the derivative to zero:

$12\cdot x^{2}-(78\,in)\cdot x + 92\,in^{2} = 0$

$x_{1} \approx 4.952\,in$

$x_{2}\approx 1.548\,in$

The second derivative is found afterwards:

$V'' = 24\cdot x - 78\,in$

After evaluating each critical point, it follows that $x_{1}$ is an absolute minimum and $x_{2}$ is an absolute maximum. Hence, the value of the cutoff so that volume is maximized is:

$x \approx 1.548\,in$

The surface area of the box is:

$S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1.548\,in)^{2}$

$S = 164.830\,in^{2}$

4 0

3 years ago

Pls help me with these 2 questions i will Mark brainlist:( !!

Sav [38]

Answer:

6. b. 50

7. d. 12

Step-by-step explanation:

6. 80% is equal to 0.8.

0.8x =40.

Divide 0.8 by 40 to get x.

x=50.

7. If he needs 3 eggs for 30 cookies, we divide 120 by 30 to get 4.

We multiply 4*3 to find the total amount of eggs needed.

4*3= 12

8 0

3 years ago

Jen deposited $750 in her savings account. The account earns 2% simple interest per year. She has the money in her account for 2

cluponka [151]

Answer: $30

Step-by-step explanation:

She has the money in her account for 24 months which is 2 years.

Simple interest is formula is:

A = P (1 + rate * no. of periods)

= 750 * ( 1 + 2% * 2)

= $780

She started with $750 and now has $780.

Earnings in simple interest :

= 780 - 750

= $30

6 0

3 years ago