Answer:
950
Step-by-step explanation:
The common difference is 4, so the general term can be written:
... an = 14 + 4(n -1)
The value of n for the last term is ...
... 86 = 14 + 4(n -1) . . . . . the computation for the last term, 86
... 72 = 4(n -1) . . . . . . . . . subtract 14
... 18 = n -1 . . . . . . . . . . . divide by 4
... 19 = n . . . . . . . . . . . . . add 1
Your series has 19 terms. The first term is 14 and the last is 86, so the average term is (14+86)/2 = 50. Since there are 19 terms, the sum of them is ...
... 19×50 = 950
Answer:
X = 1/3 (to make it short) plz brainliest
Step-by-step explanation:
Answer:
1.0915 × 10
^9
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
For this case we have the following variables:
x: the number of minutes of television Sam watched each day
y: the number of minutes she spent exercising
Then, we have the following function that models the problem:
if she spends 30 minutes watching television we have x = 30.
Substituting in the given equation we have:
Answer:
the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day is:
72 minutes
Answer:
Measure of ∠B = 51°.
Step-by-step explanation:
The sum of the measures of any triangle will always add up to 180°. Also the sum of two supplementary angles, or angles that are side by side on a straight line, will also add up to 180°. In order to find the measure of ∠B, you need to first find the measure of ∠C. ∠C is supplementary to the angle of 113°, so we can find ∠C: 180 - 113 = 57°. Now that we know ∠A and ∠C, we can solve for ∠B: 180 = 72 + 57 + ∠B or 180 = 129 + ∠B, subtracting 129 from both sides, we get ∠B = 51°.
