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2 years ago

What does d/dx (-8x - 643)=

Mathematics

1 answer:

poizon [28]2 years ago

3 0

See the attachment.....

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A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped lik

Mazyrski [523]

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is $1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3$

the dimension of the smaller box is $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3$

The volume of the large box

$\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3$

The volume of the small box

$\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3$

Suppose there are n small boxes

$\Rightarrow n=\dfrac{V_1}{V_o}$

$\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}$

4 0

3 years ago

The rectangle below has an area of x^2+8x+15x

Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.

7 0

3 years ago

Kay cuts three (3) pizzas so each of her friend at the table receives ¾ pizza. How many friends are at the table?

jarptica [38.1K]

Answer: B

Step-by-step explanation: Divide the number of pizzas (3) by the fraction each friend will get (¾ or 0.75), which gives you the answer 4.

3÷0.75=4

7 0

2 years ago

Find the surface area of a rectangular prism that has the following dimensions. length: 2 ft width: 14 in. height: 11 in. surfac

natita [175]

A=1508in² hope this helps

3 0

3 years ago

Read 2 more answers

In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02

mestny [16]

Answer:

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

7 0

2 years ago