Answer:
| x + 4 | = -1 No solution
Step-by-step explanation:
3 | x + 4 | + 12 = 9
Subtract 12 from both sides: 3 | x + 4 | = -3
Divide both sides by 3: | x + 4 | = -1
Absolute value cannot be negative, so there is no solution.
Answer:
d = 6.1m
n = 7km
Step-by-step explanation:
To find the variables, use tan
⇒ tan = 
finding d:
⇒tan 63 = 
tan of 63 is 1.963
⇒ 1.963 = 
multiply 3.1 on both sides
⇒ 1.963 x 3.1 =
x 3.1
⇒ 6.0853 = d
round to the nearest tenth:
⇒ 6.0853 = 6.1
finding n:
⇒ tan 45 = 
tan of 45 is 1
⇒ 1 = 
multiply 7 on both sides:
⇒ 1 x 7 =
x 7
7 = n
The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2
From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2
Take note that i = square root of -1
Then, i^2 = -1
So, 9 - (4 * -1)
= 9 - -4
= 13.
So the answer is 13.
B because the line over the 28 means that it’s repeating and a repeating decimal = rational number example : 27.67777777 is a rational number because it’s repeating and an irrational number would be 27.6719473637
Answer:
The group's claim is not supported at 1% significance level.
Step-by-step explanation:
given that a local group claims that the police issue more than 60 speeding tickets a day in thire area
The data they collected for 2 weeks is given below:
70 48 41 68 69 55 70
57 60 83 32 60 72 58

Std error of mean = 

(Right tailed test at 1% significance level)
Mean difference = 0.10
Test statistic t with df 13 = mean difference/std error
= 0.029
p value = 0.4886
Since p >0.01, we accept null hypothesis
The group's claim is not supported at 1% significance level.