Answer:
(a) 0.05 minutes per calorie burned
(b) Slope = 20
Step-by-step explanation:
(a) If 200 calories are burned in 10 minutes...then what about 1 calorie
; 1/200 × 10 = 0.05 minutes
(b) Slope of the graph...;just take any two points on the graph...which are (10;200) and (20;400)
Slope = (400 - 200) ÷ (20 - 10)
;Slope = 200 ÷ 10
;Slope = 20
The first thing that you have to do is line it up from least to greatest: 98,104,104,105,111,117,120,121. Then you add all of the numbers and divide the total of all the number of scores she has. 880/8=110. 110 is the answer of your question. ( I got 8 because I had to count all the numbers and I got 880 because I added all the numbers).
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
Just divide 105 by 20
this gives you 5 5/20
this can then be reduced to 5 1/4
answer: 5 1/4
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
