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3 years ago

What is the simplified form of each expression? 7x^–8 × 6x^3

1 answer:

7 0

7*6*x^-8*x^3
42x^-8+3 (bases same powers add)
42x^-5
1/42x^5
<span>so the simplified </span>form<span> of 7x^-8*6x^3 is=1/42x^5</span>

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Kevin and randy muise have a jar containing 68 coins, all of which are either quarters or nickels. the total value of the coins

Monica [59]

For this case, the first thing we must do is define variables:
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18

3 0

2 years ago

Plss answer my question now i need it this friday

professor190 [17]

Hello! i can do the first word problem

first we need to divide 600/3 which is 200.
therefore we can infer that he does 200 letters an hour and we can solve the problem with this

200 x 7 = 1400 letters an hour

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2 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S

gavmur [86]

Answer:

$8\:\mathrm{minutes}$

Step-by-step explanation:

The volume of a cylinder is given as:

$r^2\cdot\pi\cdot h$

Since the diameter is $2.2$ , the radius is $\frac{2.2}{2}=1.1$ .

Therefore, the volume of this cylinder is:

$1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}$ , using $\pi=3.14$ as requested in the problem.

Since the tank is emptied at a constant rate of $1.5\:\mathrm{ft^3\:per\:minute}$ , it will take

$\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}$ to empty the tank.

8 0

2 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu

julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/ $\sqrt{1492}$

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

#SPJ4

8 0

1 year ago

In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of removing a blue ball is 1/3, what is

worty [1.4K]

Answer: 2/3 I think

Step-by-step explanation:

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2 years ago