Answer: 50000
Step-by-step explanation:
Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.
Rules for significant figures:
Digits from 1 to 9 are always significant and have infinite number of significant figures.
All non-zero numbers are always significant. For example: 654, 6.54 and 65.4 all have three significant figures.
All zero’s between integers are always significant. For example: 5005, 5.005 and 50.05 all have four significant figures.
All zero’s preceding the first integers are never significant. For example: 0.0078 has two significant figures.
All zero’s after the decimal point are always significant. For example: 4.500, 45.00 and 450.0 all have four significant figures.
Thus 52961 when rounded off to one significant figure will be 50000.
Answer:
[you need 343 1 inch cubes]
Step-by-step explanation:
A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.
——————
[volume of a cube if the edge length is L, is L x L x L or L cubed]
A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed
——————
This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.
To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:
343/1=343 so you need 343 1 inch cubes.
Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for 
(not-including 1 because there is an open hole there, indicating it is not part of the domain), and 
.
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
For number 3.
You add 8 to both sides as you need to separate the variable
4x-8=32
+8 +8
4x=32
now divide 32 by 4
x=8
for number 4
you use pemdas to multiply the parenthisis
2(x-5)=-20
(2•x)-(2•5)
2x-10=-20
then add 10 to both sides
2x-10=-20
+10 +10
2x=10
divide 10 by two
x=5
Answer:
1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. City A
Step-by-step explanation:
City A:
Population = 123,000
Violent crimes = 185
Violent crimes per 100,000 people:
City B:
Population = 84,000
Violent crimes = 135
Violent crimes per 100,000 people:
1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.
