Answer:C
1/1+cos(x)
Step-by-step explanation:
Simplifird form of the given trigonometric expression will be,
[sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)
Simplification of a trigonometric expression:
Given expression in the question,
[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]
= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]
= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]
Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])
= [tex]\frac{1}{1+\text{cos}x}[/tex]
Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.
Learn more to simplify the trigonometric expressions here,
https://brainly.com/question/17043514?referrer=searchResults
Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).
Answer:
90% Confidence Interval = (5.532, 7.094)
Step-by-step explanation:
With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).
We are given the sample size = 14 cars
This sample size is small so instead of using z score , we would use the t score critical value
First we need to calculate our degree of freedom
Degrees of freedom = n - 1
= 14 - 1 = 13
The t score for 90% confidence interval with a degree of freedom of 13 =
= 1.771
Hence, Confidence Interval =
Mean ± t score × standard deviation/√n
= 6.313 ± 1.771 × 1.6509/√14
= 6.313 ± 1.771 × 0.4412215843
= 6.313 ± 0.7814034257
Confidence Interval
= 6.313 - 0.7814034257
= 5.5315965743
≈ 5.532
= 6.313 + 0.7814034257
= 7.0944034257
≈ 7.094
90% Confidence Interval = (5.532, 7.094)
There are 80 questions on a test. 1/4 of the answers are the letter A, 20% of the answers are letter B, 28 answers are the letter C, How many answers are the letter D?
18
28
20
16
Answer:
16
Step-by-step explanation:
1/4 is 20
20per is 16
20+16+28 is 64 minus 80 is 16
In the Bayes'rule from our textbook, which of the following are conditional probabilities on previously-obtained information A Prior probabilities B. Marginal probabilities C. Objective probabilities D. Posterior probabilities
Answer:
A
Step-by-step explanation:
plz help i will give u $10000
When the function f(x) is divided by 2x 1, the quotient is x2 93 3 and the
remainder is –9. Find the function f(x) and write the result in standard form.
Answer:
my cash app is Joy95H Suppose we wish to find the zeros of f(x) = x
3 + 4x
2 − 5x − 14. Setting f(x) = 0 results in the
polynomial equation x
3 + 4x
2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1
in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing
calculator, we get
The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show
that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the
‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining
zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor
of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that
x
3 + 4x
2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such
a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing
x
3 + 4x
2 − 5x − 14 by x − 2 gives
x
2 + 6x + 7
x−2 x
3 + 4x
2 − 5x − 14
−
x
3 −2x
2
6x
2 − 5x
−
6x
2 −12x)
7x − 14
− (7x −14)
0
As you may recall, this means x
3 + 4x
2 − 5x − 14 = (x − 2)
x
2 + 6x + 7
, so to find the zeros of f,
we now solve (x − 2)
x
2 + 6x + 7
= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)
as well as x
2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to
get x = −3 ±
√
2. The point of this section is to generalize the technique applied here. First up is
a friendly reminder of what we can expect when we divide polynomia
Step-by-step explanation:
Answer all three you get 100 points plus Brain-List
1. A 21,000-gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1500 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
2. Sherry needs to sell T-shirts as a fundraiser for a charity. She starts with 40 T-shirts and begins selling at a constant rate of 5 T-shirts each day.
Use the Segment tool to plot a graph representing the number of T-shirts Sherry has left to sell from the time she begins selling until the T-shirts are gone.
3. For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds.
Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand.
Answer:
Can u put a picture of the thing
Step-by-step explanation
You wish to have $500 in a year. If you have a savings account that pays 6% simple interest, how much do you need to put into the account?
Answer:
$8333.3
Step-by-step explanation:
The problem here is to find the principal that will yield an interest of $500 in a year at a rate of 6%.
Interest = [tex]\frac{PRT}{100}[/tex]
P is the principal
R is the rate
T is the time
The time is 1 year;
500 = [tex]\frac{P x 6 x 1}{100}[/tex]
6P = 50000
P = [tex]\frac{50000}{6}[/tex] = $8333.3
Help guyssssssssssssss
Answer:
1
Step-by-step explanation:
Franco was is making breakfast he uses 36 eggs for12 orders. How many eggs does he use per order
Answer:36 divided by 12=3
Step-by-step explanation:
Answer:
He uses 3 eggs.
Step-by-step explanation:
Divide 36/12, and that's how much he used each order.
1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?
回答: 正直わからない
説明: 私たちは愛する見知らぬ人ではありません
あなたはルールを知っています、そして私もそうです
完全なコミットメントは私が考えていることです
あなたは他の人からこれを取得しないでしょう
気分を伝えたいだけです
お奨めはあなたに理解させる
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
そして、あなたが私にどのように感じているか尋ねれば
あなたが盲目すぎて見ることができないと私に言わないでください
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
（ああ、あきらめて）
（ああ、あきらめて）
（ああ）決して与えるつもりはない、決して与えるつもりはない（あなたをあきらめる）
（ああ）決して与えるつもりはない、決して与えるつもりはない（あなたをあきらめる）
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
気分を伝えたいだけです
お奨めはあなたに理解させる
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない™
Identify the equation in slope-intercept form for the line with the given slope that contains the given point.
Slope =3/4; (2,2)
80% of teenagers have access to some social media . If you do a random survey of 400 teenagers, what is the probability that between 300 and 340 of them will patronize it.
Answer:
P(300 < p^ < 340) = 0.9876 or 98.76%
Step-by-step explanation:
We are given;
Population proportion; p = 80% = 0.8
Sample proportion; p1^ = 300/400 = 0.75 and p2^ = 340/400 = 0.85
Sample size: n = 400
z-score formula for sample proportion is;
z = (p^ - p)/(√(p(1 - p)/n)
Thus;
z1 = (0.75 - 0.8)/(√(0.8(1 - 0.8)/400)
z1 = -0.05/0.02
z1 = -2.5
z2 = (0.85 - 0.8)/(√(0.8(1 - 0.8)/400)
z2 = 0.05/0.02
z2 = 2.5
From online calculator of probability between 2 z-scores, we have;
P(-2.5 < z > 2.5) ≈ 0.9876
Can anyone answer and offer a simple step by step explanation for finding the volume for this?
Answer:
x^6
Step-by-step explanation:
Volume=w times height times length
Volume=x^2 times x^2 times x^2
x^2+2+2
x^6
Answer:
x^6 is volume
Step-by-step explanation:
So a volume of a cube is lenght times width times height.
Or the cube of a side(number to the power of 3)
Let's say one of the sides is 7. Then the volume would be 7 times 7 times 7 or 7 cubed which is equal to 729.
What 2 ratio is equivalent to 4/14 HELPPPP ILL GIVE U 15 AND MARK BRAINLIST
Answer:
4:14 2:7 8:28
Step-by-step explanation:
Albert's mom bought
5 2/3
pounds of potatoes. There are 5 people in Albert's
family and they all eat the same amount of potatoes.
How many pounds of potatos will Albert eat?
simplify this complex fraction 1 2/3 divided by 2 1/9
Answer:
[tex]\frac{5}{3} \times\frac{9}{19}[/tex]
Step-by-step explanation:
In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)
[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]
Convert into improper fractions:
[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]
[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]
(Remember to keep the denominators the same)
[tex]\frac{5}{3} \div\frac{19}{9}[/tex]
Now use KCF
[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]
[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]
Hope this helps.
Select the correct answer.
Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?
The equation of the line of best fit that Brianna drew is: c. y = 2x + 5
Recall:
Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.Thus:
Slope of a line (m) = change in y/change in x
From the scatter plot given,Change in y = 2 units
Change in x = 1 unit
Slope = 2/1 = 2
The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.
y-intercept (b) = 5
Substitute b = 5 and m = 2 into y = mx + b
y = 2x + 5
Therefore, the equation of the line of best fit that Brianna drew is: c. y = 2x + 5Learn more about line of best fit on:
https://brainly.com/question/17143626
Answer:
c ..)
Step-by-step explanation:
Show me how to Graph y = 3x + 2
the pic the pic this is it
Answer:
yes I agree with you
Step-by-step explanation:
thanks for the free question
Answer: mmmmmm Otae?
Step-by-step explanation:
What is 3/5 plus 4/8
Answer: 11/10 is your answer
Step-by-step explanation: Hoped this helped
Answer:
1.1
Step-by-step explanation:
3/5 + 4/8 = 1.1
Select the correct answers in the table.
Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?
A.) 2 1/8
B.) 2 4/9
C.) 8/17
D.) 3 1/8
Note: there hours and miles, but you have to give two answers, one for miles one for hours THANKS XD lolol <3
Answer:
b
Step-by-step explanation:
1
Find the average of
1/3
And
1/4
Answer:
7/6
Step-by-step explanation:
1/3+1/4
4/12+3/12=7/12
7/12 divided by 1/2
7/12 times 2 as when dividing fraction, multiply by reciprocal.
14/12
7/6
Out of a group of 100 people surveyed,
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
How many people in the survey do not own a car, a bike, or a skateboard?
A. 27
B. 28
C. 29
D. 30
E. 32
Answer: D. 30
Step-by-step explanation:
Given that:
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
Car and bike only :(20 - 5) = 15
Car and skateboard only = (8 - 5) = 3
Car only = 63 - (15 + 3 + 5) = 40
Bike and skateboard only = (9 - 5) = 4
Bike only = 27 - (15 + 5 + 4) = 3
Skateboard only = 12 - (3 + 5 + 4) = 0
Number of people in the survey do not own a car, a bike, or a skateboard: = x
(40+0+3+15+3+5+4+x) = 100
70 + x = 100
x = 100 - 70
x = 30
If the cube shown is 6 inches on all sides, what is the length of the diagonal, X, of the cube?
A)
V6 inches
B)
3 V6 inches
Eliminate
)
6V3 inches
D)
6 V6 inches
Answer:
C
Step-by-step explanation:
I did it on USA test prep
What is the slope and y-intercept of the linear equation y = 5x - 4
Jordan's net income for the year ended December 31, Year 2 was $200,000.
Answer:
good for her / him but uh whats the question
Help please! I’ll give brainliest if correct!
Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
12 1/2 percent multiple 64
Answer: The answer is 384 if your question is 12x1/2x64
Solve each equation,
1) –150 =-267p+5)
2) –8\m + 10)=-128