MATHEMATICS HIGH SCHOOL

A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearesttenth. Use 3.14 fors
cubic inches
Mark this and retun
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Answers

Answer 1
Answer:

Answer:

3.14 * 4^2 *15 = 753.6

Step-by-step explanation:

pi * r^2 * height

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What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?Can anyone explain me how to make this one step by step?
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STANDARD NOTATIONSCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 109
<
5) 0.024
24 x 10-2
6) 2,800
2.8 x 103
7) 100
1 x 103
8) 0.0000099
9.9 x 10-6
9) 900,000
9 x 10-5
10) 0.00633
63.3 x 10-3

Answers

Answer:

Step-by-step explanation:

1. 7.645 x 10^7

2. 3.27 x 10^-4

3. 3.4 x 10^4

4. 1.16 x 10^11

5. 2.4 x 10^-2

6. 2.8 x 10^3

8. 9.9 x 10^-6

9. 9 x 10^5

10. 6.33 x 10^-3

7. 1 x 10^2

Final answer:

The listed conversions between standard and scientific notation are mostly correct, with corrections provided for the representations of 900,000 and 100. Scientific notation involves expressing numbers as a decimal between 1 and 10 multiplied by a power of 10.

Explanation:

The conversions between standard notation and scientific notation provided here mostly appear to be correct, however, there are a few errors:

9) 900,000 in scientific notation would be 9 x 105, not 9 x 10-5.

7) 100 in scientific notation would be 1 x 102, not 1 x 103.

Standard notation is a straightforward representation of numbers. Scientific notation, on the other hand, is a method of writing or displaying numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.

Learn more about Standard and Scientific Notation here:

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Jose has an employer-sponsored 401(k) plan that he contributes to, and his employer matches 25% of his contributions. Jose's salary is $50,000, and last year he contributed $6000 to his 401(k) plan. What was the total amount that was contributed to his 401(k) last year?

Answers

Given:
50,000 salary 
6,000 401K plan contribution of the employee
25% of employee's contribution is the 401K plan contribution of the employer.

6,000 x 25% = 1,500 employer's contribution
6,000 + 1,500 = 7,500

The total amount that was contributed to Jose's 401K plan last year was 7,500.

Function 1: y = 4x + 5Function 2: The line passing through the points (1, 6) and (3, 10).

Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.

Answers

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= (y_2-y_1)/(x_2-x_1)

Substitute the given points we have;

\text{Slope}= (10-6)/(3-1)

⇒\text{Slope}= (4)/(2)

Simplify:

⇒\text{Slope}=2

⇒\text{Slope}= (4)/(2)

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

Answer:

Answer is b

Step-by-step explanation:

0= (3 x^(2)-18x+24 )/( x^(2) -2x-8)Solve for x
Please show your work!!!
Thanks in advance :)

Answers

D:x^2-2x-8\not=0\nD:x^2-4x+2x-8\not=0\nD:x(x-4)+2(x-4)\not=0\nD:(x+2)(x-4)\not=0\nD:x\not =-2 \wedge x\not =4\n\n(3x^2-18x+24)/(x^2-2x-8)=0\n(3(x^2-6x+8))/((x+2)(x-4))=0\n(3(x^2-4x-2x+8))/((x+2)(x-4))=0\n(3(x(x-4)-2(x-4)))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2))/((x+2))=0|\cdot(x+2)\n3(x-2)=0|:3\nx-2=0\n\boxed{x=2}

How do you write 3.74 x 10^4 in standard form?

Answers

Answer:

37,400

Step-by-step explanation:

Whatever the number 10 is being squared by, you just move the decimal right if it is a positive number. In this case, it is 10 to the 4th power.

If you move the decimal in 3.74 four times to the right, you will get 37,400.

Answer:

37400

Step-by-step explanation:

move the decimal place over 4 to the right

Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people per year is represented by the function f(t) = 3(2)t. What does the t represent? How many people were recruited in 6 years?.

Answers

If the function is:
f ( x ) = 3 * 2^(t) 
t represents time ( in years ).
In 6 years :
f ( 6 ) = 3*2 ^(6) = 3* 64 = 192
Answer: 
B ) t represents the number of year; 192 people were recruited in 6 years.

Answer:

B. t represents the number of years ; 192 people were recruited in 6 years

Step-by-step explanation:
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