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artcher [175]
3 years ago
8

Solve the inequality 7x<5x-8

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0
Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4
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Energy is energy due to the motion or position of an object.
solong [7]

Answer:

Step-by-step explanation:

The energy acquired by objects upon which the work that is done is known as mechanical energy. Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy (motion) or potential energy (stored energy of position)

8 0
3 years ago
Simplify the expression.
sasho [114]
2^3z^9
A for question 1=8z^9

(-8ab)^2
(-8^2a^2b^2)
A for question 2=64a^2b^2

6 (x^3)^2
6 x^6
6x^6

Enjoy!=)
4 0
3 years ago
Read 2 more answers
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
3 years ago
the soccer club is selling tshirts and washing cars to raise money for a summer trip. last week, the club raised $292.50 by sell
Delvig [45]

The equation can be made by:

Letting x be the price of each tshirt sold

Y be the cost of washing cars

So the equation 1:

292.50 = 15x + 12y

Then the equation 2 is for this week:

<span>747.50 = 45x + 10y</span>

6 0
3 years ago
Two integers, a and b, have a greatest common factor of 1. If a =12 and b is greater than 35 but no more than 40, what is the va
yarga [219]

Answer: 37

Step-by-step explanation:

a=12

35 < b < 40

\wedge\ means\ GCF\\a\ \wedge\ b= 1\\12\ \wedge\ 37= 1\\12\ \wedge\ 38= 2\\12\ \wedge\ 39= 3\\

7 0
3 years ago
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