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2 years ago

12

A rectangle has an area of 24 square inches. The rectangle is reduced by a scale factor of 1/2 . What is the area of the new rec

tangle?

1 answer:

krek1111 [17]2 years ago

4 0

Answer:

12

Step-by-step explanation:

24 x 1/2 = 12

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It cost Benjamin $1.35 to send 9 text messages how much would it cost to send 118 text messages

Allushta [10]

Answer:

it costs $17.7

Step-by-step explanation:

1.35/9 is 0.15

0.15 * 118 = 17.7

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2 years ago

Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 2 starting at 10. Rule 2: Su

Aleksandr [31]

Answer:

Step-by-step explanation:

Created Sequences

S1: 10 20 40 80 150

s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

20*2 = 40

S2: Start at 24 and subtract 4

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

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2 years ago

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

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3 years ago

Which of the following best describes the slope of the below

Katen [24]

Answer:

wheres the picture

Step-by-step explanation:

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3 years ago

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T

AveGali [126]

Answer:

b. 4.1 shirts

Step-by-step explanation:

Given data:

number of terms = 12

Terms given are 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

Mean = (sum of terms)/ (number of terms)

Mean = (3 +4+ 8+ 5+2+5+0+ 5+ 3+ 4+3+ 7)/12

Mean = 49/12

Mean = 4.083

Mean = 4.1 (<em>to the nearest tenth)</em>

7 0

3 years ago

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