The expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
We can use the double angle identity for cosine, which states that:
cos(2θ) = 2cos²(θ) - 1
To simplify given expression expression by putting cos(x) = 2cos²(x/2) - 1 as follows:
= 2cos²(x/2) - cos(x)
= 2cos²(x/2) - 2cos²(x/2) + 1 (using the identity cos(2θ) = 2cos²(θ) - 1)
= 1
Therefore, the expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
Learn more about trigonometry equations here:
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Can someone help me with 13,14,15 and 16 please
Answer: -3/5, 18/32, -10/11, and horizontal.
Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ, you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.
y¹-y² Δy 3-6 -3
------ or ---- so ------- = ----- The slope is represented by -3/5x
x¹-x² Δx 4-(-1) 5
__________________________________________________________
For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.
11-(-7) 18
--------- = -------
29-(-3) 32
___________________________________________________________
For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.
7-17 -10
------ = ------- The slope is -10/11x
11-0 11
___________________________________________________________
4-4 0
------ = --------
6-(-9) 15
Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.
I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.
Sincerely,
Lacia :))
Maya purchased a prepaid phone card for$25. Long distance calls cost 9cent a minute using this card. Maya used her card only once to make a long distance call. If the remaining credit on her card is 24.01, how many minutes did her call last?
Answer:
Her call lasted for 1 minutes.
Step-by-step explanation:
She bought a prepaid card ($25)
0.9 times 11 = 0.99
25 - 0.99 = 24.01
d. 15 times the sum of 14 and 6
expression and the value of the expression
Given the points (2, k) and (0, -6), for which values of k would the distance between the points be square root of 5?
Answer:
k = -5
k = -7
Step-by-step explanation:
*look at the picture*
Determine if the relation represents a function. (2,1) (4,-7) (6,0) (4,-1) (2,9)
Answer:
It isn't a function
Step-by-step explanation:
2 and 4 both have 2 x values, and on a graph, a function cannot have more than 1 x value.
The greatest number of bags ? can fill is ?
bags because the GCF of 34 and 51 is ?
. Each bag can have ?
blueberry and ?
raspberry scones.
Im so sorry. Your question is very poorly formatted I do not understand what you are saying.
The GCF of 34 and 51 is 17
can someone help me with this please
The midpoint of AB with line above it is M(-2, 1). If the coordinates of A are (1, -2) what are the coordinates of B?
PLEASE HELP
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods. explain the answer
Answer:
sorry i coldent find the anser
Step-by-step explanation:
ello
+v+
Answer:
The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.
Step-by-step explanation:
An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
The insurance company can expect to make $900 on the policy
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence [tex]{}[/tex] Probability Value v × p
A claim is made [tex]{}[/tex] 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim [tex]{}[/tex] 0.9 [tex]{}[/tex] $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:
1. 34 students like a drama club
2. 27 students like step team
3. 14 students like both
4. 13 students like neither
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
solve for x 3(-5x+4)+5x-1=-39
Answer:
2
Step-by-step explanation:
x3(−5x+4)+5x−1=−39
−5x4+4x3+5x−1=−39
Step 1: Subtract -39 from both sides.
−5x4+4x3+5x−1−(−39)=−39−(−39)
−5x4+4x3+5x+38=0
Step 2: Factor left side of equation.
(−x+2)(5x3+6x2+12x+19)=0
Step 3: Set factors equal to 0.
−x+2=0 or 5x3+6x2+12x+19=0
x=2 or x=−1.409699
Help ASAP Please! Thanks in advanced :)
Answer:
x = 17
Step-by-step explanation:
Since it shows that the diagram is corresponding angles, we can set them equal to each other.
8x + 20 = 11x - 31
-3x = -51
x = 17 degrees
pleaseeeeeeeee helpppp...
Answer:
x = 67
Step-by-step explanation:
∠ CRQ = ∠ BQR = 113° ( Alternate angles )
∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is
x + 113 = 180 ( subtract 113 from both sides )
x = 67
4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no
Answer:
No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)
Write 2x+y=17 in slope-intercept form
Answer:
y=-2x+17
Step-by-step explanation:
Wesley and Lincoln went fishing
Answer:
I this a question of some sort?
What is 100 times 100
Answer:
hii
Step-by-step explanation:
10,000
Answer:
the anwser would be 10000
Step-by-step explanation:
lol
Consider the complex number z = 27i. What are the characteristics of the cube roots of z?
Use the drop down menus to complete each sentence.
The cube roots are located on a circle with center at the origin and radius of
.
The cube roots have arguments which differ by
Pi over 3.
Answer:
3 and 2
Step-by-step explanation:
The cube roots are located on a circle with a center at the origin and a radius of 3. The cube roots have arguments that differ by 2 Pi over 3.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
z = 27i
The radius of the cube root is found as;
r=∛x
r=∛27
r=3
The cube roots are located on a circle with a center at the origin and a radius of 3 units.
The argument of a complex number,z=a+ib is;
Θ = tan⁻¹(b/a)
The argument of a complex number z=0+27i
Θ = tan⁻¹(27/0)
Θ = π/2
The cube roots have arguments that differ by 2 Pi over 3.
Hence, the correct answer for the drop-down menu will be 3 and 2.
To learn more about the complex number, refer to the link;
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HELPPPPP PLZ AND THANK U
Answer:
0.6
Step-by-step explanation:
multiply all of the numbers
Find the solution set of 3x + 11 < 50 using inverse operations and properties of inequality.
Answer:
the answer is 13
Step-by-step explanation:
x < 13 that's what the answer is
Answer: (-♾️ 13)
Step-by-step explanation:
3x+11<50
3x<50-11
3x<39
X<13
The solution will be (-♾️ 13)
a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 8 feet per second. It is away frim the hive for a total of 16 minutes. what equation can can you use to find the distance of the flowerbed from the hive? How far is the flowerbed from the hive?
Answer:
(x/12 + 840 + x/8) = 960
576 feets
Step-by-step explanation:
Given that :
Speed to flower bed = 12 ft/s
Speed back to hive = 8 ft/s
Time spent at flower bed = 14 minutes = 14*60.= 840
Total time = 16 mins = (16 * 60) = 960
Let distance between bee hive and flower bed = x
Time taken to flower bed = x / 12
Time taken back to hive = x /8
(x/12 + 840 + x/8) = 960 - - equation
L.C.M of 12 and 8 = 24
(2x + 20160 + 3x)/ 24 = 960
(2x + 20160 + 3x) = 23040
5x = 23040 - 20160
5x = 2880
x = 2880 / 5
x = 576
Distance between flowerbed and hive = 576 feets
15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y = 5 and passing through (2,3)
Answer:
2x
Step-by-step explanation:
3x + y = 5
= 5 - 3x
= 2x
On a journey of 120 km, a motorist averages
less than 60 km/h. Will the journey take
more or less than 2 hours?
Answer:
More
Step-by-step explanation:
Because the journey is 120km long, and the mortoristgoes less than 60km per hour. So in 2 hours, the motorist will go less than 120 km. So he needs more than 2 hours to go 120 km
Ms. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 14 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answer:
21 minutes
Step-by-step explanation:
Given that :
Sprinkler has 3 stations
Each waters for an equal amount of time ;
First 2 stations water for 14 minutes
Time taken per station :
14 / 2 = 7 minutes
Time taken to water all part of her lawn :
Time taken per station * number of stations
7 minutes * 3 = 21 minutes
WHAT DO I DO WHEN I FAILED A ALGEBRA TEST
Answer:
Restudy and try to take it again.
Step-by-step explanation:
Try watching math videos and do extra studying on the areas you missed on your last attempt.
Answer:
Talk with your teacher
Step-by-step explanation:
I recommend talking with your teacher and asking if you can retest or do extra credit to get your grade back up.
Make sure you study and get really good grades on the rest of your assignments / next test to keep a passing grade.
write an equation that is perpendicularl to 7/8x+1
Answer:
-8/7x-1
Step-by-step explanation:
perpendicular equations have opposite signs and are reciprocal.
what is the percintage change of 36 to 24
Answer:
if its 24 by 36 then its 150%. If it was 36 by 24 then it would be 66.6
Step-by-step explanation:
Express this number in scientific notation. 0.000000591 A. 5.91 × 10–7 B. 5.91 × 10–6 C. 5.91 × 106 D. 5.91 × 107
Answer:
A
Step-by-step explanation:
Solve 56 - 10x>20 + 8x.
O A. x>-2
B. X<-2
C. x >2
D. x<2
Answer:
x<2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given
56 - 10x > 20 + 8x ( add 10x to both sides )
56 > 20 + 18x ( subtract 20 from both sides )
36 > 18x ( divide both sides by 18 )
2 > x , thus
x < 2 → D
The cost of tickets is $36 for three students an $72 for six students. What’s the rate and change?
Answer:The cost of a ticket is $12 per student
Step-by-step explanation:
36/3=$12 per students
$72/6=$12 per student