given :-
p(t) = 3t^2 - 5t - 7
g(t) = t - 5
=> t = 5
on putting values..
p(5) = 3(5)² + 5(5) - 7
= 3(25) + 25 - 7
= 75 - 18
= 57
hence, the remainder is 57.
D. 57 is the correct option
Answer:
with 0.10 level of significance the P-VALUE that would be used in the hypothesis claim is 0.05%
Step-by-step explanation:
In hypothesis testing in statistics, we can say that the p-value is a probability of obtaining test results when we assume that the null hypothesis is correct.
The p-value is the probability that the null hypothesis is true.
A p-value less than or equals to 0.05 is statistically significant. It shows strong evidence against the null hypothesis, meaning there is less than a 5% probability the null is correct and clearly we can say that the results are random.
The answer would be A because if you combine all the like terms you will get A as a result.
-2x^2+8x-9+4x+7x^2+2
-2x^2+7x^2 combine both of these and it will get you 5x^2
And then you would do 8x+4x which would be 12x and lastly you would -9+2 which would be -7 so the answer is A.
Hope this helps!!
Answer:
Step-by-step explanation:
8×3cuartos:648
Answer: See explanation
Step-by-step explanation:
ΔLNM and ΔLKN are 30°- 60°- 90° triangles
We have to find the length of LN before we can find the length of MN.
<em>In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3</em>
Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.
LN = √3 times the shorter leg
3 × √3 = 3√3
LN = 3√3
We now know the length of the longer leg in ΔLNM (3√3)
MN would be 3√3 × √3
3√3 × √3
= 3√9
= 3 × 3 = 9
MN = 9
ΔLKM is also a 30° - 60° - 90° triangle
The short leg is 6 m
The hypotenuse would be 12 m
The longer leg would be 6√3
Perimeter: 6 + 12 + 6√3
The perimeter is 18 + 6√3
Area: 1/2 × b × h
b = 6√3
h = LN = 3√3
6√3 × 3√3
18√9 = 18 × 3 = 54
Area: 54 m²
Hope it helps!!
