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3 years ago

3. Kai sold 3x +5 textbooks in August and 2in September. What

Mathematics

2 answers:

Fittoniya [83]3 years ago

8 0

Answer:

3x+7

Step-by-step explanation:

Basile [38]3 years ago

4 0

Answer:

maybe?

Step-by-step explanation:I think it would be 3x+7 because you'd just add the 2 in september to the 5 in aug.

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If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B' is at .

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Answer:

Vertical translation is along the y axis while horizontal translation is along the x-axis.

Vertex A' is at (-1 - 3, 2 + 6) = (-4, 8)

Vertex B' is at (1 - 3, 5 + 6) = (-2, 11)

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Step-by-step explanation:

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3 years ago

.Acute hypothermia is caused by __________.

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Answer:

A (Rapid loss of body heat)

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3 years ago

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The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

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3 years ago

Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third

lana66690 [7]

Given:

Rita covered 1 mile in 15 minutes.

She covered 3 miles in 30 minutes.

To find:

The rate at which she is riding.

Solution:

Let y be the number of miles covered in x minutes.

Rita covered 1 mile in 15 minutes. So, the point is (15,1).

She covered 3 miles in 30 minutes. So, the point is (30,3).

Slope of the line:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{3-1}{30-15}$

$m=\dfrac{2}{15}$

Therefore, she is riding $\dfrac{2}{15}$ miles per minute.

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3 years ago

At 1 P.M., there were 16 seagulls on the beach. At 3 P.M., there were 40 seagulls. What is the constant rate of change?

Zolol [24]

From 1 PM to 3 PM there are 2 hours in between

The number of seagulls has increased by 40 - 16 = 24 during the two hours.

The number of increase PER hour is 24 ÷ 2 = 12 seagulls per hour

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