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3 years ago

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Sasha has a rectangular garden 8 m by 10 m. The garden has a path surrounding it which is 2 m wide. What is the total area of th

e garden and pathway? A. 168 m^2 B. 120 m^2 C. 116 m^2 D. 96 m^2 E. 84 m^2

1 answer:

hoa [83]3 years ago

3 0

Answer:

b

Step-by-step explanation:

Area of a rectangle = length x width

length = 8 + 2 = 10

width = 10 + 2 = 12

10 x 12 = 120

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What does the model predict for 1900?

vagabundo [1.1K]

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

$y = -0.1271x + 307.53$

<u>To find:</u> Prediction for the year 1900.

Putting the value of $x=1900$ , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

$\Rightarrow y = -0.1271\times (1900) + 307.53\\\Rightarrow y = -241.49 + 307.53\\\Rightarrow y = -64.04\%\\OR\\y \approx 64.0\%$

So, the model predicts $y \approx 64.0\%$ for the year 1900.

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3 years ago

what is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x 10 and passes through the point (

bazaltina [42]

Perpendiculare means the slopes multiply to -1

y=3/5x+10
slope is 3/5
3/5 times what is -1
-5/3 is answer

slope of perpenduclar is-5/3 find y int
y=-5/3+b
point given is (15,-5)
x=15
y=-5

-5=-5/3(15)+b
-5=-25+b
add 25 to both sides
20=b

the yintercept is y=20 or the oint (0,20)

6 0

3 years ago

The number of equal parts that something is evenly distributed into is the

den301095 [7]

Hey there!

The number of equal parts that something is evenly distributed into is the <u>divisor.</u>

<u />

<em>Hope this helps!</em>

3 0

3 years ago

A robot that makes _/8 of a boat per day will make 7 boats in 8 days

Sidana [21]

7/8 boats per day will make it

8 0

3 years ago

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago