Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
The graph represents the piecewise function:
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f(x) 0 2 4 6 8 a. Exponential; y = 1 (1.2) Superscript x c. Exponential; y = 2 (1.1) Superscript x b. Linear; y = 2x d. Linear; y = x
Answer:
Its B
Step-by-step explanation:
If you look at how the chart is flowing, the y values are 2 times the x value.
for example,
1x2=2
2x2=4
3x2=6
and
4x2=8
Therefore, the equation is linear and y=2x
Answer:
b. Linear; y = 2x
Step-by-step explanation:
Please help me with my math!
Answer:
I believe it's A. but that's just what I think sorry I can't really back it up much
The answer is the third option, because the range is -6 and the third option says its greater than or equal to -2.
63
Which expression is not equivalent to
66
A
62
B
1
216
1
D
Answer:1216
Step-by-step explanation:
It’s to big and if this helps plz but a brainly :)
solve for x
1/4 x^3 = -27/4
do u still need the answer or no cuz its kinda long
What angle is this?
Erica had 30 dollars to spend on 3 gifts. She spent 10 7 10 dollars on gift A and 6 2 5 dollars on gift B. How much money did she have left for gift C?
PLZ HELP
I'm stuck on this :
Answer:
She went over her amount of money on her first two gifts so she has no money left for gift C.
Step-by-step explanation:
Gift A = 10 + 7 + 10 = 27
Gift B = 6 + 2 + 5 = 13
27 + 13 = 40
She went over her amount of money on her first two gifts so she has no money left for gift C???
Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?
Use the circle below to find the correct value of x:
Answer:
113°
Step-by-step explanation:
Measure of central angle is equal to the measure of its corresponding arc.
Here, x is the measure of the central angle and 113° is the measure of its corresponding arc.
Therefore, x = 113°
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Answer: B: 140.4
Step-by-step explanation:
∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:
Answer:
A = 132 degrees
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Answer:
132
Step-by-step explanation:
bc khan
16/g,when g=4
Please answer
Answer:
4
Step-by-step explanation:
7. The table shows the cost for ordering a certain number of pieces of chicken.
What is the value of x if the cost is proportional to the number of chicken
pieces ordered?
Pieces of Chicken Ordered
2
3
4
6
Cost
$3.00
$4.50
$6.00
A. $4.00
B. $9.00
C. $1.50
D. $6.67
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?
if its 1:30 now how much longer do i have until 3:00
Answer:
You will have 1 hour and 30min!
Step-by-step explanation:
1:30+30=2:00
2:00+60=2:60=3:00
Pls give me brainliest if this helped
Hope this helps and don't forget to follow
Answer:
Only 2 hours and 30 minutes
Step-by-step explanation:
what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?
Answer:
Option 2[tex]540\pi[/tex]
Step-by-step explanation:
Given,
Diameter of the cylinder = 12cm
Radius of the cylinder = 12cm ÷ 2 = 6cm
Height of the cylinder = 15cm
Therefore,
Volume of the cylinder
[tex] = \pi {r}^{2} h[/tex]
[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]
[tex] = 540\pi \: cubic \: cm[/tex]
Hence,
Option 2 is correct for volume of the cylinder in cubic cm:
[tex]540\pi[/tex]
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for I and round your final answer to the nearest hundredth.
units
Answer:
Volume of the given sphere = 4.19 units³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
From the picture attached,
Radius of the sphere 'r' = 1 unit
Volume of the given sphere = [tex]\frac{4}{3}\pi (1)^3[/tex]
= [tex]\frac{4}{3}\pi[/tex]
= [tex]\frac{4}{3}(3.14)[/tex]
= 4.187
≈ 4.19 units³
50 points plzz help Combine the radicals .
Answer:
D) [tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]
Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Step-by-step explanation:
X = 10 (use pyth)
Y = 11.18(use pyth)
Answer the question please and no links. Please explain too.
Answer:
(20,5)
Step-by-step explanation:
The line is proportional making the answer equivalent.
Answer:
(20,5)
Step-by-step explanation:
20,5=4,1
Can someone please help me with this i don't understand the way my teacher explained it
Answer:
I dont even understand that and im in 8th grade lol
Answer:
7,476 would be your answer because
62,300 divided by 3% is 1,869
and 1,869 times 4 is 7,476
Step-by-step explanation:
WILL MARK BRAINLIEST WHOEVER ANSWERS CORRECTLY
Answer:
Step-by-step explanation:
Let the relation between the total number of candies (y) and number of bags (x) is,
y = mx + b
Here, b = Extra pieces of candies sitting outside the box.
m = Candies per box
From the question,
x = 4,(Number of bags are 4)
y = 4m + 4
If total number of candies are 36,
36 = 4m + 4
4m = 32
m = 8
Each bag will contain 8 candies.
Therefore, equation representing the relation is,
y = 8x + 4
Now complete the table by substituting the values of x,
x y
1 12
2 20
3 28
4 36
5 44
6 52
7 60
8 68
9 76
10 84
Help this is due in 2 minutes
Answer:
6% growth
Step-by-step explanation:
The equation =
A = 2300(1.06)⁷
What does 0.06 represent in the equation?
The formula for Exponential growth =
y = a (1 +r)^t
Where
y = Size after time t
a = Initial size
r = Growth rate in Percentage
t = Time t
Equating both Equations together
y = a (1 +r)^t = A = 2300(1.06)⁷
1 + r = 1.06
r = 1.06 - 1
r = 0.06
Converting to percent
r = 0.06 × 100
r = 6% growth rate
Which expression is equivalent to -4(2k - 6) - 4k
Answer:
Factor and Simplfy
12k+24
Answer:
-12k+24
Step-by-step explanation:
-4(2k-6)-4k
do distributive property
-8k+24-4k
simplify
-12k+24
I think this is what the question is asking
Please help me out :D
Answer:
384 cubic inches
Step-by-step explanation:
For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.
We are given length = 12 inches
We are given width = 8 inches
We are given tall(height) = 4 inches
So let's Calculate the volume.
Volume = Length * Width * Height
Volume = 12 inches * 8 inches * 4 inches
Volume = 384 cubic inches
Hence, the volume of the box is 384 cubic inches.
Cheers.
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
Answer:
first option is correct
look at given picture
Can someone please help me?
Answer:
Isosceles!
Hope this helped!
Find n(A) for the set.
1) A = 200, 201,
202, ..., 2000)
A) n(A)= 1801
B) n(A)= 4
C) n(A)=2000
A=200,201,202.........,2000
Here, it forms an AP with common difference 1
Let the number of terms in the set be n
[tex] T_{n} = a+(n-1)d \\\\ 2000= 200+(n-1) \\\\ 200+n-1= 2000 \\\\ => n=2000-199= 1801[/tex]
Hence,n(A)=1801
One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*
Answer: 40
Step-by-step explanation: 65/1.6= around 40