Answer:
[2,∞)
Step-by-step explanation:
The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)
(-3, 12); y = -3x + 5
Answer: y = -3x + 3 or y = 3 - 3x
Step-by-step explanation:
First, we need to determine our slope. Thankfully for us, the slope of a line parallel to another is the same.
So our slope is -3.
Now, we need to find our y-intercept. To do that, we will use y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.
Plug in the numbers given.
12 = -3(-3) + b
Simplify.
12 = 9 + b
Subtract 9 from both sides.
12 - 9 = 9 - 9 + b
3 = b
Our y-intercept is 3.
Now, we just put everything together.
y = -3x + 3
The line parallel to y = -3x + 5 that passes through the point (-3, 12) is
y = -3x + 3 or y = 3 - 3x (both are the same just written differently)
Answer:
Step-by-step explanation:
use a calculator fo find the value
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
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I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
Answer:
No. 4.82×10^4
Step-by-step explanation:
It has to be x10 to be in scientific notation so you move the decimal point 4 times and get the answer
Answer:
No, 48,200 is written in Standard Notation.
If you want to evaluate 48,200 to scientific notation, the answer is 4.82 x 10^4.
Hope this helps and have a nice day!
Step-by-step explanation:
Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
It is given that Lupe has 14 stickers that she wants to give to 2 friends.
Total number of stickers Lupe has is 14.
The number of friends is 2.
She wants each friend to have the same number of stickers. It means each friend will get half of 14.
The number stickers Lupe should give to her friends is 14 divided by 2.
Write this value in fraction form.
It means the correct statements are
1. Each friend gets 14÷2 stickers.
3. Each friend gets (14)/2 stickers.
4. Each friend gets 7 of the 14 stickers.
Hence correct options are 1, 3 and 4.
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Question
Consider a simple economy where the basket of goods used to calculate the CPI contains two items shampoo and soap.
The basket consists of 1 bottle of shampoo and 2 bars of soap. The prices are shown in the table.
Year Price of a Bottle of Shampoo Price of a Bar of Soap
Year
36 50
$1.25
Year
$5.00
$1.30
Type the correct answer in the box. Round your answers to two decimal places, if necessary.
The CPI for year 2 is
Submit
Answer:
2.22%
Step-by-step explanation:
Recall that year 1, the base year, has a CPI of 100.
From question 1, we know that the CPI of year 2 is 102.22.
To find the rate of inflation, find the percent change from year 1 to year 2:
102.22-100= 0.0222, or 2.22%
_________
100
The CPI for year 2 can be calculated by finding the total cost of the basket of goods in year 2 and comparing it to the total cost in the base year.
The solution of CPI is 197.40
The CPI (Consumer Price Index) for year 2 can be calculated by first finding the total cost of the basket of goods in year 2 and then comparing it to the total cost in the base year.
In this case, the basket consists of 1 bottle of shampoo and 2 bars of soap.
The price of a bottle of shampoo in year 2 is $5.00 and the price of a bar of soap is $1.30.
So, the total cost of the basket in year 2 is (1 * $5.00) + (2 * $1.30) = $7.60.
Next, we need to find the total cost of the basket in the base year, which is given as $1.25 for a bottle of shampoo and $1.30 for a bar of soap.
So, the total cost in the base year is (1 * $1.25) + (2 * $1.30) = $3.85.
Finally, we can calculate the CPI for year 2 by dividing the total cost in year 2 by the total cost in the base year and multiplying by 100:
CPI = (Total cost in year 2 / Total cost in base year) * 100 = ($7.60 / $3.85) * 100 = 197.40 (rounded to two decimal places).
#SPJ11
Answer:
Step-by-step explanation: do you have a graph?