1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rusak2 [61]
1 year ago
7

Find the measure of

Mathematics
1 answer:
Butoxors [25]1 year ago
7 0

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

You might be interested in
Perform the indicated operations and chose the correct answer from the listed options.
ehidna [41]

Answer:

The correct answer is option C.  3

Step-by-step explanation:

It is given an expression in variable x

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

<u>To find the simplified answer</u>

x² + 3x² = x(x + 3)

x² - 9 = (x + 3)(x - 3)

The given expression can be written as,

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

 = x(x + 3)/(x + 1) * 3(x + 1)/(x + 1)(x - 1) * (x -3)/x

 =[ x(x +3) * 3(x +1) *  (x -3)]/[(x + 1) * (x + 3)(x - 3) *x]

 = 3

The correct answer is option C.  3

3 0
3 years ago
Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




6 0
3 years ago
What is statistical power and how would you calculate it?
Natasha_Volkova [10]

Answer:

The statistical power of a hypothesis test is the probability of detecting an effect, if there is a true effect present to detect. Power can be calculated and reported for a completed experiment to comment on the confidence one might have in the conclusions drawn from the results of the study.

I hope it's helpful!

3 0
3 years ago
Kay scored above 90% on five of her math quizzes, 80% to 90% on fourteen of them, and 70% to 80% on two of them. What is the exp
Leya [2.2K]
In total, Kay took 5+14+2=21exams. she got 80%-90% on 14 of them. the probably is 14/21 which is 2/3. Therefore, the probability of Kay getting 80%-90% on her next exam is 2/3 or 66.6%
3 0
3 years ago
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
Other questions:
  • Someone please help me it’s 20 points please help!!!
    9·1 answer
  • una madre compra a su hija una caja de bombones favoritos la caja tiene forma de prisma triangular de 21 cm de largo y 12 cm de
    9·1 answer
  • A couple wants to have 5 kids. find the probability that they have at least one boy.
    6·1 answer
  • Please help!!!!!!!!!!! need help asap
    8·2 answers
  • Can soomeone help me please
    15·2 answers
  • Plz help due tomorrow
    13·2 answers
  • The points (-9,f) and (-10,5) has a slope of 3. What is the value of f?
    12·1 answer
  • The drop down is the same for both questions. (15 points!) Please don't do fake answers or you WILL Be reported
    8·1 answer
  • Please help me on this!
    5·1 answer
  • Solve : 2 (m + 1) = 3(m - 1)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!