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3 years ago

Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

Mathematics

1 answer:

noname [10]3 years ago

7 0

Answer:

Value of the integral will be equal to $\frac{x^2}{2}+15x+c$

Step-by-step explanation:

We have given the expression $\int( \sqrt{x^2}+15)dx$

We have to find the integral of the given expression

So $\int( \sqrt{x^2}+15)dx=\int (x+15)dx$

Now integrating

$\int (x+15)dx=\frac{x^2}{2}+15x$ + c

So value of the integral will be equal to $\frac{x^2}{2}+15x+c$

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Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material

NISA [10]

Answer:

I know this is probably late but the answer is 52 ft

Step-by-step explanation:

I did the Unit Test

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3 years ago

-(1 - 9x) - 8 helpppp meeeeeee

madreJ [45]

Answer

9x - 9

Step-by-step explanation

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3 years ago

The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large

umka21 [38]

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

4 0

3 years ago

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Airida [17]

Question:

Jordan is cutting a 2 meter by $1\frac{1}{4}$ meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

Solution:

Length of the paper = 2 m

Width of the paper = $1\frac{1}{4}$ m = $\frac{5}{4}$ m

<em>Area of the rectangle = length × width</em>

$$=2\times \frac{5}{4}$

$$= \frac{5}{2} \ m^2$

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

$$=\frac{ \frac{5}{2}}{2}$

$$=\frac{5}{4} \ m^2$

$$=1 \frac{1}{4} \ m^2$

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

7 0

3 years ago

In a certain lottery game, 34 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is n

777dan777 [17]

Answer:

p(win)=0.00094

Step-by-step explanation:

-This is a factorial/combination question.

-The probability is calculated using the formula:

$p=\frac{x!}{_nC_x}\\\\$

Where:

$x$ is the number of successful picks

$n$ is the total number of picks

Therefore, we calculate the probability as follows;

$Pp=\frac{x!}{_nC_x}\\\\=\frac{7!}{_{34}C_7}\\\\=0.00094$

Hence, the probability of winning is 0.00094

6 0

3 years ago