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Deffense [45]
3 years ago
7

8h + 16h -12 = 24h -12

Mathematics
2 answers:
lys-0071 [83]3 years ago
5 0
To solve for h
8h +16h equals 24 h
24h-12= 24h-12
these are equal so no !after what number you put in for h it will be a true statement. in situations like these my math teacher told me to put "all sol."
Blababa [14]3 years ago
3 0
This equation is undefined because h could be any number
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Please help<br> Honestly cant understand
cluponka [151]
Answer: x=20°

Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.

You should get, x=20.
4 0
3 years ago
What is the probability of rolling 2 standard dice which sum to 9?
Marianna [84]
Answer: 1/9

Explanation: Tbh I can’t explain how my brain just clicks sometimes
4 0
3 years ago
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays
Iteru [2.4K]

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

  • The interest earned after one year is <u>0.018·x</u>

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\displaystyle Interest, \ I  = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}

Plugging in the values gives;

\displaystyle I  = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}

Which gives;

\displaystyle Interest = \frac{x \times 1.8 \times 1}{100}  = 0.018 \cdot x

Interest earned by investing in the savings account for one year, I = 0.018·x

  • The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>

Learn more here:

brainly.com/question/11314161

4 0
2 years ago
Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which
a_sh-v [17]

Answer:

The best estimate for the number of hours the family drove is 28.8 Hours.

Step-by-step explanation:

The distance Jarrod's family drove is 1778 miles and their average speed was 61.7 miles/hour, and we need the best estimate for the number of hours the family drove. For this we use the distance formula

D=vt

and use solve for t:

t=\frac{D}{v} =\frac{1778\:miles}{61.7\:miles/hr} = \boxed{28.8\:hours.}

Thus the best estimate for the hours driven is 28.8 hours.

<em>It is only an estimate because the speed given is the average speed.</em>

8 0
3 years ago
Read 2 more answers
Find the volume of each figure
pshichka [43]

Answer:

See explanation

Step-by-step explanation:

1. The first figure shows triangular prism. The volume of the triangular prism is

V=\text{Base area}\times \text{Height}

The base of this triangular prism is the triangle with the base of 7 cm and height of h cm (it is not seen).

The base area is

\text{Base area}=\dfrac{1}{2}\times \text{Base}\times \text{Height}=\dfrac{1}{2}\times 7\times h=\dfrac{7h}{2}\ cm^2

and the volume of the prism is

V=\dfrac{7h}{2}\times 13=\dfrac{91h}{2}\ cm^3

Just substitute the length of the height and calculate the volume.

2. The second figure shows square pyramid. The volume of the square pyramid is

V=\dfrac{1}{3}\times \text{Base area}\times \text{Height}

The base of this square pyramid is the square with the side length of 4 yd.

The base area is

\text{Base area}= \text{Side Lenght}^2=4^2 =16\ yd^2

and the volume of the pyramid is

V=\dfrac{1}{3}\times 16\times 12=64\ yd^3

7 0
3 years ago
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