Answer:
22cm²
Step-by-step explanation:
radius of smaller circle= 7/2=3.5cm
area of smaller circle=π×3.5=11cm²
area of bigger circle=π×10.5(radius is 7 plus 3.5)=33cm²
area of shaded area=33-11=22cm²
Answer:
Keith's unit rate of change of dollars with respect to time is $1500.
Step-by-step explanation:
It is given that Keith is saving money for a car.
Year 1: 1500
year 2: 3000
year 3: 4500
Let y be the saved amount after x year.
The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).
The formula for rate of change is
Consider any two coordinate pairs.
Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is
Therefore, Keith's unit rate of change of dollars with respect to time is $1500.
Answer:
The null and alternative hypothesis is 
and 
respectively.
Step-by-step explanation:
Consider the provided information.
If there is no statistical significance in the test then it is know as the null which is denoted by 
, otherwise it is known as alternative hypothesis which denoted by 
.
Consider the statement:
Test to see whether the mean tree planting time differ from two hours.
The null hypothesis is:
Therefore, the alternative hypothesis is:
Thus, the null and alternative hypothesis is and respectively.
Answer:
7.35
Step-by-step explanation:
4.25+2.75=7.00 before tax
7.00 x .05=.35 sales tax
7.00+ .35=7.35 total bill
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
