Answer:
32
Step-by-step explanation:
Add 16 + 16
The variable x varies directly as y and x varies inversely as z. What is the value is y when x=20 and z=-2, if y=30 when z=3 and x=5?
Answer:
Y=-80
Step-by-step explanation:
X=Ky/z
5=30k/3
30k=15
K=1/2
20=Ky/(-2)
Ky =-40
1/2y=-40
Y=-80
A tower is braced by a 30 ft. wire that is attached to the ground 5
feet from the base of the tower. How
tall is the tower?
Answer:
it may be 35ft
Step-by-step explanation:
yh it may be 35y
PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is no C . I guess it should be C.In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
PLEASE HELP
A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?
And please add the formula or how you did it
Answer:
3:20
Step-by-step explanation:
6000:40,000
find HCF (2000)
divide both sides by 2000
3:20
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.) A ∪ (B ∩ C) = (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) = Which of these sets are equal? A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) A ∪ (B ∩ C) = (A ∪ B) ∩ C (b) Find A ∩ (B ∪ C), (A ∩ B) ∪ C, and (A ∩ B) ∪ (A ∩ C). (Enter your answer in set-roster notation.) A ∩ (B ∪ C) = (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) = Which of these sets are equal? A ∩ (B ∪ C) = (A ∩ B) ∪ C (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) (c) Find (A − B) − C and A − (B − C). (Enter your answer in set-roster notation.) (A − B) − C = A − (B − C) = Are these sets equal? Yes No
Answer:
(a)
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]
(b)
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]
(c)
[tex](A - B) - C = \{a\}[/tex]
[tex]A - (B - C) = \{a,b,c\}[/tex]
They are not equal
Step-by-step explanation:
Given
[tex]A= \{a,b,c\}[/tex]
[tex]B =\{b,c,d\}[/tex]
[tex]C = \{b,c,e\}[/tex]
Solving (a):
[tex]A\ u\ (B\ n\ C)[/tex]
[tex](A\ u\ B)\ n\ C[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
[tex]A\ u\ (B\ n\ C)[/tex]
B n C means common elements between B and C;
So:
[tex]B\ n\ C = \{b,c,d\}\ n\ \{b,c,e\}[/tex]
[tex]B\ n\ C = \{b,c\}[/tex]
So:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}\ u\ \{b,c\}[/tex]
u means union (without repetition)
So:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
Using the illustrations of u and n, we have:
[tex](A\ u\ B)\ n\ C[/tex]
[tex](A\ u\ B)\ n\ C = (\{a,b,c\}\ u\ \{b,c,d\})\ n\ C[/tex]
Solve the bracket
[tex](A\ u\ B)\ n\ C = (\{a,b,c,d\})\ n\ C[/tex]
Substitute the value of set C
[tex](A\ u\ B)\ n\ C = \{a,b,c,d\}\ n\ \{b,c,e\}[/tex]
Apply intersection rule
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
In above:
[tex]A\ u\ B = \{a,b,c,d\}[/tex]
Solving A u C, we have:
[tex]A\ u\ C = \{a,b,c\}\ u\ \{b,c,e\}[/tex]
Apply union rule
[tex]A\ u\ C = \{b,c\}[/tex]
So:
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{a,b,c,d\}\ n\ \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
The equal sets
We have:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
So, the equal sets are:
[tex](A\ u\ B)\ n\ C[/tex] and [tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
They both equal to [tex]\{b,c\}[/tex]
So:
[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]
Solving (b):
[tex]A\ n\ (B\ u\ C)[/tex]
[tex](A\ n\ B)\ u\ C[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]
So, we have:
[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d\}\ u\ \{b,c,e\})[/tex]
Solve the bracket
[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d,e\})[/tex]
Apply intersection rule
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ \{b,c,e\}[/tex]
Solve the bracket
[tex](A\ n\ B)\ u\ C = \{b,c\}\ u\ \{b,c,e\}[/tex]
Apply union rule
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ (\{a,b,c\}\ n\ \{b,c,e\})[/tex]
Solve each bracket
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}\ u\ \{b,c\}[/tex]
Apply union rule
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
The equal set
We have:
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
So, the equal sets are:
[tex]A\ n\ (B\ u\ C)[/tex] and [tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]
They both equal to [tex]\{b,c\}[/tex]
So:
[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]
Solving (c):
[tex](A - B) - C[/tex]
[tex]A - (B - C)[/tex]
This illustrates difference.
[tex]A - B[/tex] returns the elements in A and not B
Using that illustration, we have:
[tex](A - B) - C = (\{a,b,c\} - \{b,c,d\}) - \{b,c,e\}[/tex]
Solve the bracket
[tex](A - B) - C = \{a\} - \{b,c,e\}[/tex]
[tex](A - B) - C = \{a\}[/tex]
Similarly:
[tex]A - (B - C) = \{a,b,c\} - (\{b,c,d\} - \{b,c,e\})[/tex]
[tex]A - (B - C) = \{a,b,c\} - \{d\}[/tex]
[tex]A - (B - C) = \{a,b,c\}[/tex]
They are not equal
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
Angle 8 because it is a different measure to the other options.
Step-by-step explanation:
Congruent means the angles are the same and angle 8 is not the same as angle 7.
Help me with this please:)
Answer:
12m
Step-by-step explanation:
a+b=c
a=?
b=9m
c=15m
a+9m×9m=15m×15m
a+81=225
a=225-81
a=144
find its square root
a=12m
HELPPPPPPP I'LL GIVE BRAINLY
3x + 5 ≤ -13
Answer:
x <-6
Step-by-step explanation:
¼ y + ⅜ ? I don't know what to do
Answer:
isn't that a graph perhaps ?
Please help me!! I don’t get this!
Answer:
2. d) (x-1)²+(y+5)²=128
3.c) (x-3)²+(y+2)²=841
Step-by-step explanation:
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
solve for 5 points, will give brainlist
Answer:
i know that the first one is not equivlent but i dont know about the others
Step-by-step explanation:
pls help me understand this pls show how u got it
Answer:
25 inches
Step-by-step explanation:
Area is given as 75 in^2
Area of a triangle = 1/2 * base * height
75 = 1/2 (6) * height
75 / (1/2 * 6) = height
25 inches = height
what number is greater than 6 but less than 7? 20 40 60 or 80
6.5 or 65 :ppppppp I get those goosebumps every time
Please help thank you:)!
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
8/50 = 4/25
give the sinplest fraction answer
Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?
Answer:
y
Step-by-step explanation:
Answer:
V'W' = 14Steps:
V'W' = VW×2/3
V'W' = 21×2/3
V'W' = 42/3
V'W' = 14
What is the positive solution to the equation 2x2 + 3x = 2?
Answer:
x(2x+3)
Step-by-step explanation:
Answer:
X= -2
2. x = 1/2 = 0.500
Step-by-step explanation:
Where is Point A located on the coordinate grid?
Answer:
Quadrant 11
Step-by-step explanation:
Quadrant 2 mark as brainllest
Need help please I will mark brainlist
Answer: C = 7.62
You can verify this answer using this calculator.
7^2 + 3^2 = 58
√58 = 7.62
Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each type from the
drawer.
Music Style Probability of Picking a CD
pop
0.2
rock
0.1
metal
0.3
country
0.4
Rachel picks a CD 150 times, replacing each pick before the next draw. Arrange the events in order from the lowest predicted frequency to the
highest predicted frequency.
picking a pop
music CD
picking a rock
music CD
picking a metal
music CD
picking a country
music CD
Answer:
rock, pop, metal, country
Step-by-step explanation:
i just took the test :)
On Edmentum and got it right.
guys help im bad at math
Answer:
A = 13
B = 50
C = 22.5
D = 3.5
E = 16.3
Step-by-step explanation:
divide each area by 4
ex: 52 ÷ 4 = 13
Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)
A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short
Answer:
The answer is "Fail to reject [tex]H_o[/tex], because [tex]w_o[/tex] is sufficient evidence for claim".
Step-by-step explanation:
[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]
Test Statistic:
[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]
[tex]dt=17\\\\[/tex]
p-value[tex]=0.6028[/tex]
For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line?
Answer:
he can run 24240 kilometers
Step-by-step explanation:
What are 6 facts about Will Smith?
(They cant be about his date of birth, place of birth, his spouse, and children)
Evaluate x/y when x=32 and y=4.
Answer:
x = 32
y = 4
x/y = 32/4 = 8
Hope it helps!
Your round-trip drive to work is 4 1. miles. How many miles do you drive to and from
work in 3 days?
7 3/10
12 3/10
12 9/10
8 3/5
what is the measure of A, in degrees, in the figure shown?
Answer:
[tex]12.7[/tex]
Step-by-step explanation:
[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]