Answer:
2.25 hours for the man and 1.83 hours for the woman.
Step-by-step explanation:
We first find the number of calories consumed by both the man and the woman.
The man's calories are:
750+400+225 = 1375
The woman's calories are:
370+400+0 = 770
The man burns 610 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
1375/610 = 2.25 hours
The woman burns 770 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
770/420 = 1.83 hours
Answer:
<em> The simplified answer is
</em>
Step-by-step explanation:
For the given expression: (− 1/x )× 1−x/1+x × x/x^2−1
we need to simplify it
<em>
= (x+1)×(x-1)</em>
eliminating x and x-1 from the given equation we get
The value of x can't be zero
As we can't divide zero by zero
The value of x can't be one
As we can't divide zero by zero
<em> The simplified answer is
</em>
Answer:
![\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}]](https://tex.z-dn.net/?f=%5CSigma_%7Bk%3D1%7D%5E%7Bn%7D%5B3%28%5Cfrac%7B10%7D%7B9%7D%20%29%5E%7Bk-1%7D%5D)
Step-by-step explanation:
A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.
The first term is denoted by a and the common ratio is denoted by r.
A geometric sequence has the form:
a, ar, ar², ar³, . . .
The nth term of a geometric sequence is 
Therefore the sum of the first n terms is:

Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:
Answer:
Second Graph
Step-by-step explanation:
Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.
A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.
Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:
y > -x - 3
0 > - (0) - 3
0 > - 0 - 3
0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.
Hence, the correct answer is the second graph.
Answer:
D : 5x³ + 5x² + x
Step-by-step explanation:
Addition and subtraction of the right coefficient of the x³ and x² terms will give you the right answer