Make a conjecture about expressing repeating decimals like these as fractions

Term insurance has value as an investment. True or false ?

alexandr402 [8]

The answer to does the term insurance have a value as an investment. the answer is true

4 0

3 years ago

The experimental probability that Josie dad gets home from work between 5 p.m. and 6 p.m. is equal to 5/8 . About what percent o

Veseljchak [2.6K]

Answer:

62.5%

Step-by-step explanation:

In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.

We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:

5/8 * 100 = 62.5

In other words, the probability that it will arrive at that time is 62.5%

5 0

3 years ago

Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4

Ber [7]

Answer:

Option C. $P=10-6e^{-t}$

Explanation:

1. Separate variables:

$\dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt$

2. Find the indefinite integrals

$-\ln{(10-P)}=t+C$

3. Solve for P

$10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}$

4. Use the initial condition, P(0) = 4, to find K:

4 = 10 - K(e⁰)

4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

4 0

3 years ago

Please answer this it’s attach and I really need help if you scam me I will spam your questions will useless answers taking your

Kisachek [45]

Answer:

First blank: 4

Second blank: 3

Third blank: 8

Step-by-step explanation:

The expressions must be equivalent, yet one must read as 4 times the length of the box.

Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.

Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.

This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."

4 × ? = 12

4 × 3 = 12

Substitute 12 for 3.

4 × ? = 32

4 × 8 = 32

Substitute 32 for 8.

4 (3x + 8)

4 0

3 years ago

what is area of the triangle in a coordinate plane. a 9.0. b 14.0 c16.5. d 24.5

Tresset [83]

Answer:

Step-by-step explanation:

It's the right triangle.

The formula of an area of a right triangle:

$A=\dfrac{(leg)(leg)}{2}$

Look at the picture.

We have

$leg=3,\ leg=11$

Substitute:

$A=\dfrac{(3)(11)}{2}=\dfrac{33}{2}=16.5$

4 0

3 years ago