Step-by-step explanation:
Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]
(Score for Question 2: of 5 points)
2. Consider the function f(x)= xº + 2x² – 3 .
(a) Graph the function.
(b) What are the x- and y-intercepts of the graph?
Answer:
Answer:
(-1,0) (0,-2) (1,0)
Step-by-step explanation:
the function crosses the axis in this 3 points
State if the triangle are congruent by sss sas asa aas or not congruent
Answer:
(a) SSS
.........................
What value of x is in the solution set of -5x-15x> 10+20x
In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
Which of the strategies below could help you find 72-25? Select all the correct answers.
Step-by-step explanation:
25+5=30
30+40=70
70+2=72
Combine the like terms to create an equivalent expression:
−
2
k
−
(
−
5
)
+
1
Answer:
-2k + 6
Step-by-step explanation:
We start out with the expression -2k - (-5) + 1. We should first distribute the negative outside of (-5), which gets us to 5: -2k + 5 + 1. Now, we can combine like terms with 5 and 1 to get 6, giving us a final answer of -2k + 6. We can't simplify any further since there aren't any like terms.
If you have any questions or need clarification on anything, let me know!
The given diagram shows a construction completed using a straightedge and a compass.
B
À
E
The diagram shows the construction
If m ABC is 249, then m FDE is
Answer:
angle bisected of angle abc
24 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tell me if im right
What is the distance between points B and C
Answer:
5
Step-by-step explanation:
I hope this helps
yea xxx
Can someone please show me their working on these on how to work out?
To rationalize essentially means to get rid of the radical.
The trick to all of these it to multiply the top and bottom by a radical that will turn the radical you have into the square root of a perfect square.
Part a: [tex]\dfrac{1}{2\sqrt{5}}[/tex]
One approach that will always work, but not be the smallest radical, is to just multiply by the radical that is already there.
In the case of [tex]\dfrac{1}{2\sqrt{5}}[/tex], you can multiply the top and bottom by [tex]\sqrt{5}[/tex], so you'll really do this:
[tex]\dfrac{1}{2\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}} = \dfrac{1\cdot\sqrt{5}}{2\sqrt{5}\sqrt{5}}[/tex]
But in the bottom, [tex]\sqrt{5}\cdot\sqrt{5} = \sqrt{25}=5[/tex], so your work finishes out like this:
[tex]\dfrac{1\cdot\sqrt{5}}{2\sqrt{5}\sqrt{5}} = \dfrac{\sqrt{5}}{2\sqrt{25}} = \dfrac{\sqrt{5}}{2\cdot5} = \dfrac{\sqrt{5}}{10}[/tex]
Part b: [tex]\dfrac{4}{5\sqrt{2}}[/tex]
In the case of [tex]\dfrac{4}{5\sqrt{2}}[/tex], you can multiply the top and bottom by [tex]\sqrt{2}[/tex], so you'll really do this:
[tex]\dfrac{4}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}[/tex]
But in the bottom, [tex]\sqrt{2}\cdot\sqrt{2} = \sqrt{4}=2[/tex], so your work finishes out like this:
[tex]\dfrac{4}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{4\sqrt{2}}{5\sqrt{4}}=\dfrac{4\sqrt{2}}{5\cdot{2}}=\dfrac{4\sqrt{2}}{10}[/tex]
Sometimes the fraction can be reduced, so this should be reduced to [tex]\dfrac{2\sqrt{2}}{5}[/tex].
Looking at all the others, they'll follow this same approach and they will all reduce at the end.
Here's part c, for one more example.
Part c: [tex]\dfrac{3}{3\sqrt{2}}[/tex]
In the case of [tex]\dfrac{3}{3\sqrt{2}}[/tex], you can multiply the top and bottom by [tex]\sqrt{2}[/tex], but you should also reduce the initial fraction first.
[tex]\dfrac{3}{3\sqrt{2}} = \dfrac{1}{1\cdot\sqrt{2}} = \dfrac{1}{\sqrt{2}}[/tex]
And now proceed with rationalizing:
[tex]\dfrac{1}{\sqrt{2}} \cdot\dfrac{\sqrt{2}}{\sqrt{2}}[/tex]
But in the bottom, [tex]\sqrt{2}\cdot\sqrt{2} = \sqrt{4}=2[/tex], so your work finishes out like this:
[tex]\dfrac{1}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{1\cdot\sqrt{2}}{\sqrt{4}}=\dfrac{\sqrt{2}}{{2}}[/tex]
And you're done.
Hopefully that helps you finish the rest of those.
To check your answers, here is the answer key for the rest:
part d:[tex]\dfrac{2\sqrt{6}}{5}[/tex]
part e:[tex]\dfrac{4\sqrt{2}}{3}[/tex]
part f:[tex]\dfrac{4\sqrt{5}}{7}[/tex]
part g:[tex]\dfrac{5\sqrt{10}}{3}[/tex]
part d:[tex]\dfrac{5\sqrt{2}}{3}[/tex]
Answer:
Step-by-step explanation:
(a) 1/(2 sqrt5) x (sqrt 5)/(sqrt5) = (sqrt 5)/10
(b) 4/(5bsqrt2) x (sqrt2)/(sqrt2) = (4sqrt2)/10 = (2sqrt2)/5
(c) 3/(3 sqrt2) x (sqrt2)/(sqrt2) =(sqrt2)/2
(d) 12 /(5 sqrt6) x (sqrt6)/(sqrt6) = (12sqrt6)/30 = (2sqrt6)5
(e) 8/(3 sqrt2) x (sqrt2)/(sqrt2) = (8 sqrt2)/6 = (4 sqrt2)/3
(f) 20/(7 sqrt5) x (sqrt5)/(sqrt5) = (20 sqrt5)/35 = (4 sqrt5)/7
(g) 50/(3 sqrt10) x (sqrt10)(sqrt10) = (50 sqrt10)/30 = (5sqrt10)/3
(h) 10/(3 sqrt2) x (sqrt2)/(sqrt2) = (10 sqrt2)6 = (5 sqrt2)/3
Need help finding this answer −9 − −8 =
Answer:
-1
Step-by-step explanation:
-9--8
remember that 2 negatives= a positive thus...
-9--8
is the same as
-9+8
which is
=-1
Hope this helped you- have a good day bro cya)
Answer: 90,000x6,899
1: Don't Che.at
2:Have a wonderful day!!!!!!!
XD
Answer:
The answer is 620,910,000 I worked it out By the way:)
Answer:
620,910,000 - Number form
620.9M+ - Short form
Six hundred twenty million, nine hundred, and ten thousand - Word form
Step-by-step explanation:
1. If you want me to go in full detail, I'll just say that I used a bit of internet search for the word form because I'm dyslexic, but yet I'm here in brainly answering other people's questions.
2. Have a wonderful day to you too!!
Hope this helped! :^)
- ✨7272033Alt✨
(Modified ex que Two years ago, Kim Ean invested RMP in her account which earns r% simple interest. After 18 months, she noticed that the amount had become RM10,450 and today the amount is RM10,600. Find the value of P and R.
Answer:
r= 3% P=10k
using formula S=P(1+rt)
substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you
B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter
Answer:
area of triangle = 1/2×base×height
=1/2×20m×6m
= 20m×6m=120square metre
I’m don’t understand stand these that well, can someone please explain step by step to get marked.
Answer:
10
Step-by-step explanation:
press calculate
pls give brainliest
Answer: 10
Step-by-step explanation:
The sign √ means square root. Squaring is like multiplying a number by its own self again ( for example, x times x is equal to x squared). A square root is like dividing the square by its own self ( for example, √x^2 is equal to x ).
The square root of 100 is 10, since 10 squared is equal to 100.
Homework help!!!!!!!!
Answer:
u=-1
Step-by-step explanation:
if you replace with a or b the answer on the left side is actually bigger since it is closer to 0 than -20. same with choice d
choice c makes -12-28 which is a smaller value than -20
Need Help ASAP! Not too hard
Answer:
Step-by-step explanation:
Simplify 72y^4/8y^7
72y^4
———
8y^7
Step-by-step explanation:
hi hi hi nice to meet you meet you
-3x-5y=-7
Find slope of perpendicular line
Answer:
5/3
Step-by-step explanation:
We need to rewrite the equation in slope intercept form
y =mx +b where m is the slope
-3x-5y = 7
Add 3x to each side
-5y = 3x+7
Divide by -5
y = -3/5 x -7/5
The slope of this line is -3/5
Perpendicular lines have slopes that are negative reciprocals
-1 / (-3/5)
5/3
The slope of the perpendicular line is 5/3
Gus wrote the following riddle: I am a number between 30 and 60. My ones digit is three less than my tens digit. I am a prime number.
What number does Gus’ riddle describe?
Answer: 41
Step-by-step explanation:
Cotabato was struck by a series of quakes from June I to 3, 2013. The first was a 5.7 earthquake on June 1, followed by 15 aftershocks. A 4.3 and a 5.7 quake were recorded on June 2 and 3. respectively. How much more powerful was the first earthquake than the proceeding ones?
Step-by-step explanation:
Don't mind me, just tryna get those points
Let two cards be delt successively without replacement from a standard 52 card deck find the probability of the event. the first card is a ten and the second is a face card.
HELP PLEASE!!!!
Answer:
well for the 10 it is a 4/52 chance and for face cards, 16/52
Step-by-step explanation:
Write the equation in point slope form
Answer: X=4/2x+3
Step-by-step explanation:
I just know
1/5 x 7/8 in simplest form s
Answer:
[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
7/40
Step-by-step explanation:
7 cant go into 40 so it just stays as 7/40
Express the following quentitis as ratio 10k to 50k
Answer:
watch me whipzdudbbd iv ex
The diagram below shows a small ant and an ant find the difference in length of the two large ants . Help pls
Answer:
yay
Step-by-step explanation:
Solve pleaseee !!!..
Answer:
x=76
Step-by-step explanation:
#CarryOnLearning
Answer:x=76
Step-by-step explanation:
Distribute: -4(x-26)=-200 -4x + 104 - 104 = -200
Subtract 104 from both sides of the equation
-4x + 104-104 = -200-104
Simplify
Subtract the numbers
-4x +104-104=-200 - 104
-4x=-200 - 104
Subtract the numbers
-4x = -200 - 104
-4x = -304
-4x = -304
Solution
x=76
Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent
Answer:
Nia answerd 45% of the questions correctly.
Someone pls help- am struggling.
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
please help me with this question
Answer:
1.4
Step-by-step explanation:
hope it helped
what is 5/8x+4=3/8x+12
Answer:
x = 32
(The answer should be 32 if we are solving for x)