Answer:
[tex]-\frac{\pi}{2}+2n\pi<x<\frac{3\pi}{2}+2n\pi[/tex]
Step-by-step explanation:
Given:
[tex]2\sin(x)+3> \sin^2(x)[/tex]
To Find:
The Solution of the above inequality
Explanation:
[tex]2\sin(x)+3> \sin^2(x).......(i)\\\text{let} \sin (x) = u\\\Rightarrow 2u+3> u^2\\\Rightarrow u^2-2u-3<0\\\Rightarrow u^2-3u+u-3<0\\\Rightarrow u(u-3)+1(u-3)<0\\\Rightarrow (u+1)(u-3)<0\\\Rightarrow -1<u<3\\\text{and since} \sin(x) = u\\\Rightarrow -1<\sin(x)<3[/tex]
[tex]\text{as if} \;a<u<b \Rightarrow a<u \;\text{and}\; u<b\\\Rightarrow -1<\sin(x) \; \text{and} \; \sin(x) <3\\-1<\sin(x) \; : -\frac{\pi}{2}+2n\pi<x<\frac{3\pi}{2}+2n\pi\\\text{and}\; \sin(x) <3 : \text{true for all } x \in R\\\text{Now, combining the intervals we get}\\-\frac{\pi}{2}+2n\pi<x<\frac{3\pi}{2}+2n\pi \; \text{and} \; \text{true for all } x \in R\\-\frac{\pi}{2}+2n\pi<x<\frac{3\pi}{2}+2n\pi.[/tex]
need a quick answer please
Answer:
x= 3
Step-by-step explanation:
12x-12x= 2x 1+5=6
2x=6
x=3
Answer: x=3
Step-by-step explanation:
(10x+1)=(12x-5) (you make them equal because they are vertical)
-2x+1=-5
-2x=-6
x=3
I'm not really sure but I tried, sorry.
24 yd = ___ ft
SHOW WORK PLEASE I WANNA KNOW HOW TO DO IT ILL BE SO HAPPY BC IM KINDA CONFUSED
Answer:
72
Step-by-step explanation:
1 Yard is 3 Feet
Since we know this we Multiply 3 by 24.
Hope this helps ▼・ᴥ・▼
Answer:
72ft
Step-by-step explanation:
1 yd = 3ft
so you would do 24 times 3 to get 72
evaluate the following expressions: if X= -3 then X squared -10x=
Answer:
39
Step-by-step explanation:
[tex] {x}^{2} - 10x \\ \\ = {( - 3)}^{2} - 10( - 3) \\ (plug \: x = - 3) \\ \\ = 9 + 30 \\ \\ \therefore({x}^{2} - 10x)_{ \{x = - 3 \}} = 39[/tex]
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
(x₁, y₁)(x₂, y₂)Using the formula to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function
Slope = m = [y₂ - y₁] / [x₂ - x₁]
For example, let the points be
(x₁, y₁) = (1, 2)
(x₂, y₂) = (3, 4)
Determining the slope between
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 1]
= 2 / 2
= 1
Thus,
The slope of the line between the points (1, 2) and (3, 4) will be: m = 1
HELP IM IN A QUZZ...
Frank Catton, the general manager of Billybob's floating raft hotel and Casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the check in desk. When you check in, you spin the wheel and a plate containing that many hot
doughnuts is delivered to your room the next moming for free. If your spinlands on an orange slot you get free hot chocolate too
(Give a fraction or round to 1 decimal place)
A. What is the probability that you get 7 doughnuts and hot chocolate? I
8. What is the probability that you get 7 doughnuts or hot chocolate?
Answer:
P( 7 doughnuts or hot chocolate)=0.40
Step-by-step explanation:
From the question we are told that
Total number of plates [tex]n=10[/tex]
1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as
7 doughnuts and hot chocolate= 1 slot
Therefore
P( 7 doughnuts and hot chocolate)= 1/10
P( 7 doughnuts and hot chocolate)= 0.10
2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as
P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)
1 plates contains 7 doughnuts
P(7 doughnuts)=1/10
P(7 doughnuts)=0.10
4 plates contain hot chocolate
P(hot chocolate)=4/10
P(hot chocolate)=0.4
7 doughnuts and hot chocolate= 1 slot
P( 7 doughnuts and hot chocolate)= 1/10
P( 7 doughnuts and hot chocolate)= 0.10
Therefore
P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10
Therefore
P( 7 doughnuts or hot chocolate)=0.40
The probability of getting 7 doughnuts or hot chocolate is 0.4
please simplify -8(-3a-2)
Answer: 24a+16
Step-by-step explanation:
Answer:
=24a+16
Step-by-step explanation:
Let's first take our problem-
−8(−3a−2)
Simplify -
=(−8)(−3a+−2)
=(−8)(−3a)+(−8)(−2)
And you get your answer-
=24a+16
A number cube has sides numbered 1 through 6 the probability of rolla 2 is 1/6 what is the probability of not rolling a 2
Answer:
5/6
Step-by-step explanation:
It would be 5/6 because there are 5 possible answers other than 3 making it 5/6
Jason needs to find the volume of the sphere shown below. Which formula should be used ?
Answer:
dont see sphere
Step-by-step explanation:
Juan and Ari went to the farmers market to buy fruit. Juan's bag of apples that he bought weighed StartFraction 31 over 7 EndFraction pounds. Ari's bag of oranges that he bought weighed StartFraction 19 over 3 EndFraction pounds. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag. 1 and one-half pounds 2 pounds 6 pounds 10 and one-half pounds
Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed 31/7 pounds. Ari’s bag of oranges that she bought weighed 19/3 pounds. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag.
A) 1 and one-half pounds
B) 2 pounds
C) 6 pounds
D) 10 and one-half pounds
Answer:
B: approximately 2 pounds
Step-by-step explanation:
Juan’s bag weighed 31/7 pounds
Ari's bag weighed 19/3 pounds.
We are told to use compatible fractions to determine the difference. Thus we have to make sure the denominator is the same;
For Juan, let's multiply both numerator and denominator by 3 to get; 93/21 pounds
For Ari, let's multiply both numerator and denominator by 7 to get; 133/21
Thus, difference is;
(133/21) - (93/21) = 40/21
This gives;
1.9 pounds heavier
This is approximately 2 pounds
Answer:
B. 2 pounds
Step-by-step explanation:
Write a^4 - 3a^2 + 9 as a product of two monic quadratics with integer coefficients. I got (a^2 + a + 3)(a^2 - a + 3), but it says its wrong.
The correct factorization would be equal to [tex](a^2 - 3)(a^2 - 3)[/tex].
To express the expression [tex]a^4 - 3a^2 + 9[/tex] as a product of two monic quadratics with integer coefficients, we can start by factoring it using the difference of squares formula. Let's break it down step by step:
[tex]a^4 - 3a^2 + 9[/tex]
We can rewrite the expression as:
[tex](a^2)^2 - 3(a^2) + 3^2[/tex]
Now, the difference of squares formula:
[tex](a^2 - 3)^2[/tex]
So, the expression can be factored as the square of the binomial [tex](a^2 - 3)[/tex].
Therefore, the correct factorization is [tex](a^2 - 3)(a^2 - 3)[/tex].
Learn more about factorization here:
https://brainly.com/question/10454590
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Isabelle, Joel, and Bryan sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each person shelled an equal amount. How many bowls of peas did each person shell?
Answer:
2/3 bowls of peas
Step-by-step explanation:
Given that there were 2 big bowls of peas, and each person shelled an equal amount. Since there are three persons, the ratio of the number of bowls of peas available to the number of persons will give the number of bowls of peas did each person shell.
Hence each person must have shell
= 2/3 bowls of peas
Name two examples of quadrilaterals,
Answer:
square and rectangle
Step-by-step explanation:
Answer:
Squares, Trapezoids, Rhombuses, Kites, Parellelograms, or Rectangles
Step-by-step explanation:
"Quad" means that there is 4 sides on something, and all of these shapes have 4 sides, so obviously, that means they are quadrilaterals.
The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
many pairs of sneakers smaller than size 8 are on sale?
Sneaker Sale
Number of Palrs
20
18
16
14
12
10
8
6
4
2
0
2-4
5-7
8-10
11-13
Sneaker Size
14
22
37
49
Answer: 22
Step-by-step explanation:
please help!:) Using the function g( x) = -4 x – 17, calculate g(-2)
Step-by-step explanation:
you'll substitute x for -2
g(-2) = -4 *(-2) - 17 = 8 - 17 = -9
hope i helped :)
June needs at least $575 to go on a vacation. She earns $10 an hour for babysitting and already has $252 saved for the trip. Which inequality can be used to find the number of hours she needs to babysit
Answer:
[tex]252 + 10h \ge 575[/tex]
Step-by-step explanation:
Given
[tex]Savings = 252[/tex]
[tex]Target=575[/tex] -- atleast
[tex]Earnings = \$10[/tex] per hour
Required
Represent as an inequality
Suppose that she babysits for h hours, her total earnings would be:
[tex]Total\ Earnings = 10h[/tex]
In inequalities:
At least means [tex]\ge[/tex]
So, when the total earnings is added to her savings, we have:
[tex]Savings + Total\ Earnings \ge Target[/tex]
Substitute values for Savings, Total Earnings and Target
[tex]252 + 10h \ge 575[/tex]
I need help what is 15 times 238
Answer:
hello.....................
Step-by-step explanation:
Answer:
3,570
Step-by-step explanation:
why did you not look it up on the internet lol
Classify the polygon by its number of sides. State whether the polygon appears to be
regular or not regular.
hexagon, regular
heptagon, not regular
octagon, regular
decagon, not regular
Based on the number of sides in this polygon, he polygon appears to be: C. octagon, regular.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and finite number of sides. Additionally, some examples of a polygon include the following:
TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonDecagonWhat is a regular polygon?In Euclidean geometry, a regular polygon can be defined as a form of polygon which has all of its sides and interior angles being equal.
By critically observing the polygon shown in the image attached above, we can reasonably infer and logically deduce that it represents a regular octagon because it has a total of eight (8) sides with equal angles.
Read more on regular polygon here: brainly.com/question/20911145
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Five friends went to a movie. Each friend bought a ticket and a
medium-sized bag of popcorn. The total amount they spent
was $61.25. What was the price of each movie ticket?
(Medium price is $3.75
2 1/2 divided by 2 1/3
Answer:
Exact Form: 15/2
Decimal Form: 7.5
Mixed Number Form: 7 1/2
Step-by-step explanation:
Answer:
1[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
Turn the mixed fractions into improper fractions:
2 1/2 = 5/2
2 1/3 = 7/3
5/2 ÷ 7/3
Replace the division sign with a multiplication sign by reciprocating 7/3.
5/2 × 3/7
Multiply the numerators and the denominators.
= 15/14
Simplify 15/14 by turning it into a mixed fraction.
1[tex]\frac{1}{14}[/tex]
I hope this helps!
what is 5 divided by 3/4 in simplest form
the hamster walked x feet. the guinea pig walked 1/4 more than that.
Answer:
2x+[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
hamster=x
guinea pig = x+ 1/4
x+x=2x
then just add the 1/4
9-2x ≤-5
show work please i need this for hw thankss
answer is x={7,8,9...}
note= (-5 when u take to other side it will become positive)
Is -8 = 8
A. One solution
B. Two solutions
C. Infinitely many solutions
D. No solution
Please help me ASAP!! Thank you!
Answer:
The third one
Step-by-step explanation:
Helena makes 500$ per week, and she puts 15% of her paycheck in savings. How much money does she put in savings
Answer:
75$
Step-by-step explanation:
[tex]500(0.15) = 75[/tex]
Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
Answer:
840 ways
Step-by-step explanation:
From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.
P(n, r) = nPr = n!/(n -r)!
From the above question,
Since Jose is included in the 8 people and he takes the first seat
n = 8 - 1 = 7 people
r = 5 - 1 = 4 seats
This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated
Hence,
7P4 = 7!/(7 - 4)!
7P4 = 7!/3!
7P4 = 5040/6
7P4 = 840 ways
Answer:
840
Step-by-step explanation:
edg 2021
Need help ASAP I don’t understand what to do because x = 2 and y = 3 but they don’t divide into each other evenly so is it a decimal?
Answer:
You can have it as a decimal (0.6 repeatings), or you can have it as a fraction. It would be easier to keep it as a fraction.
Magic The Gathering (MTG) booster packs cost 4 for $12. At this rate, how much will 9 booster packs cost?
Answer
$27
Step-by-step explanation:
12/4=3
3x9=27
Plz help ITS NOT A LOT !!!!!! Plz help
Answer: Actually, you must use the Pythagorean Theorem!
a squared plus b squared equals c squared. So if you substitute in the values, a is 2 units and b is three units. 2 squared is 4 and 3 squared is 9.
4 + 9 = 13 so the answer is the square root of 13. (√13)