FIRST CORRECT GETS BRAINLIEST

FIRST CORRECT GETS BRAINLIEST

Answers

Answer 1

Answer:

First choice.

Step-by-step explanation:

cos 11π/6 = cos π/6 = √3/2

So cos 11π/12 =   √(1 + cos 11π/6) / √2

= √(1 + √3/2) / √2

= √(2 + √3) / 2.


Related Questions

what is equivalent to 2
x
2

7
x

3
=
0

Answers

Answer:

I'm confused with this, I dont understand what you are asking.

Step-by-step explanation:

2 is equivalent with a lot of things,

1+1

3-1

92-90

7×7-47

4÷2

the list goes on...

Please help! These data show the number of miles each of the 9 members of a track team ran for the week.

11 11.5 10.5 17 14.5 14.5 18 17 19

What is the IQR (interquartile range) for these data?


6.25

7.00

14.50

17.50

Answers

Answer:

14.50

Step-by-step explanation:

i took the quiz on k12 truse me i wish luck

The IQR for these data is 6.25.

Answer choice A is correct.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the IQR, we first need to find the first and third quartiles.

First, we need to order the data from smallest to largest:

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Next, we find the median (middle value) of the data set.

Since we have an odd number of data points, the median is the middle number, which is 14.5.

To find the first quartile (Q1), we need to find the median of the lower half of the data set.

That is, we need to find the median of 10.5, 11, 11.5, and 14.5.

The median of this subset is (11 + 11.5) / 2 = 11.25.

To find the third quartile (Q3), we need to find the median of the upper half of the data set.

That is, we need to find the median of 17, 17, 18, and 19.

The median of this subset is (17 + 18) / 2 = 17.5.

Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 17.5 - 11.25

= 6.25

Therefore,

The IQR for these data is 6.25.

Learn more about the interquartile range here:

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I’m stuck pls help me

Answers

Answer:

B and E

Step-by-step explanation:

I think it’s E and B

A test requires two hours to attend five questions if a candidate spent 80 minutes on the first two question what fraction of the time did he spend on the remaining three question​

Answers

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

i) Find the first 4 terms in the expansion of
[tex](2 + x ^{2})^{6}[/tex]
in ascending powers of x.
ii) Find the term independent of x in the expansion of
[tex](2 + x ^{2})^{6}(1 - \frac{3}{x {}^{2} } ) {}^{2} [/tex]

Answers

Answer:

(i)  [tex]64+192 x^2+240 x^4+160x^6[/tex]

(ii) 1072

Step-by-step explanation:

Part (i)

Using Binomial series formula:

[tex](2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3[/tex]

              [tex]=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6[/tex]

              [tex]=64+192 x^2+240 x^4+160x^6[/tex]

Part (ii)

[tex](1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})[/tex]

               [tex]=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}[/tex]

[tex](2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)[/tex]

[tex]=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...[/tex]

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

2) Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $26. How many erasers
he buy?

I can solve it i just need to know the equation with X

Answers

I think it’s 13 bc of you spent 26 in total you could do 26 divided by 2 and that will give you 13. I hope this helps
The eq is
1 magazine for 10$ + x times eraser for 2$= $26

Let y=6 and z=2. Translate “z less than y” into an algebraic expression and solve it

Answers

Answer:

y - z; 6 - 2; 4

Step-by-step explanation:

z less than y means subtract z from y

y - z

Substitute the given values.

6 - 2

4

A flashlight is projecting a triangle onto a wall

Answers

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

Let w = width and 4 + w = length. Which equation represents the situation?

Answers

Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

Complete the table below with the amounts of raspberry juice, apple
juice and soda needed to make the different quantities of Fruit Fizz.
mixture must taste exactly the same each time.

Answers

So this is science. I would pick raspberry juice instead of apple because it’s right

Hope this helps!!

Bottles of water are packaged with
24 bottles per case. A store has
365 cases to sell. How many bottles
of water does the store have to sell?

Answers

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

One of the legs of a right triangle measures 2 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

Help..........................

Answers

Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

Brand 1 Brand 2 Brand 3 Store 1 Store 2 Store 3 Laptop Comparison Chart Criteria for laptop search: Laptop specifications: • At least 3GB of memory • At least 250 GB hard drive • At least 14” Screen • Weigh at most 7 pounds • At least a 1 year manufacturer warranty • Built-in wireless router • Must be new, not used of refurbished Spending Limit: $800 • Includes laptop, sales tax, and shipping • For the purpose of this project, use 7.5% sales tax

Answers

The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

How to compute the amount from the sales tax?

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

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When a constant force acts
upon an object, the acceleration of the object varies Inversely with Its mass. When a certain constant force acts upon an object witt
mass 5 kg, the acceleration of the object Is 15 m/s-
If the same force acts upon another object whose mass is 3 kg, what is this object's acceleration?

Answers

Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Evaluate 14 - (2x - y), when x = 3 and y = 2 - -
.A) -7
.B) 10
.C) 13
.D) 18
20 POINTSS​

Answers

10

solve:

14 - (2(x) - y)

given x : 3, y : 2, insert the following

14 - (2(3) - 2)14 - (6-2)14 - 410

[tex]\\ \rm\rightarrowtail 14-(2x-y)[/tex]

[tex]\\ \rm\rightarrowtail 14-2x+y[/tex]

Put values

[tex]\\ \rm\rightarrowtail 14-2(3)+2[/tex]

[tex]\\ \rm\rightarrowtail 14-6+2[/tex]

[tex]\\ \rm\rightarrowtail 10[/tex]

Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Answers

Answer:

23

Step-by-step explanation:

Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally.  They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.

-138 is close to -137.56

-6 is close to -6.12

[tex]\implies \dfrac{-138}{-6}[/tex]

Divide the top and bottom by -2:

[tex]\implies \dfrac{69}{3}[/tex]

Divide the top and bottom by 3

[tex]\implies 23[/tex]

If this is too difficult to divide mentally, you could use -140 and -7:

[tex]\implies \dfrac{-140}{-7}[/tex]

As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.

Donte is making brownies. For one batch, the recipe requires 1 5/6 cups of chocolate chips, and 1/6 cup of sugar. What is the combined amount, in cups, of chocolate chips and sugar that is used in one batch of brownies?​

Answers

Answer:

2

Step-by-step explanation:

1 ⅚ + ⅙ = 1 6/6, also known as, 2

The answer would be 2 cups, because
1 5/6 +1/6 = 1 6/6 or 2

It takes a boat 2 hours to go 16 miles downstream with the current and 4 hours to return against the current. Find the speed of the boat in still water and the speed of the current.

Answers

let's recall that d = rt, or namely distance = rate * time.

b = speed of the boat

c = speed of the current

now, we know that going downstream the boat went 16 miles total, that's going only one way, so the distance the boat travels downstream as well as upstream to return is 16 miles flat.

when going downstream, the boat is not really going at "b" speed, is really going at "b + c" speed, because the current is adding its speed to it, so is really going faster than "b".

when going upstream, the boat is not really going at "b" speed" either, is really going slower at "b - c" speed, because the current is against it and thus subtracting speed from "b".

let's take a look at those in a table

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Downstream&16&b+c&2\\ Upstream&16&b-c&4 \end{array}\qquad \qquad \begin{cases} 16=(b+c)(2)\\\\ 16=(b-c)(4) \end{cases} \\\\\\ \stackrel{16}{(b+c)(2)}~~ = ~~\stackrel{16}{(b-c)(4)}\implies 2b+2c~~ = ~~4b-4c\implies 2c=2b-4c[/tex]

[tex]6c=2b\implies \cfrac{6c}{2}=b\implies \boxed{3c=b} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{16~~ = ~~(\stackrel{b}{3c}+c)(2)}\implies 16=4c(2)\implies 16=8c \\\\\\ \cfrac{16}{8}=c\implies \blacktriangleright \stackrel{mph}{2}=c \blacktriangleleft~\hspace{10em}3(2)=b\implies \blacktriangleright \stackrel{mph}{6}=b \blacktriangleleft[/tex]

Sally planted 3/8 rows of beans and 1/8 rows of Tyrion’s in a garden. In total how many rows of vegetables did sally plant?

Answers

Answer:

4/8 or 1/2 rows

Step-by-step explanation:

Hope this helps! ^^

I don't understand this problem​

Answers

Answer:

Right angle (90°)

Step-by-step explanation:

Because, main Street and Oak Street are crossing each other at 90°.

Hope it helps you in your learning process.

Answer:

right angle

Step-by-step explanation:

because they're perpendicular lines

5h-2g=26
2h + 2g 2
find h and g​

Answers

Answer:

g = -3, h = 4.

Step-by-step explanation:

5h - 2g = 26

2h + 2g = 2      Adding the 2 equations:

7h = 28

h = 4.

Substituting for h in the first equation:

5(4) - 2g = 26

-2g = 26 -20 = 6

g = -3.

Given g(x)
-2 – 2, find g(-3).
Answer:

Answers

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

How to calculate the function?

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

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How could you demonstrate that the force of gravity acting on an object is proportional to the mass of the object?

Answers

Answer:

F = mg

Step-by-step explanation:

g is the constant of proportionality and force is the product of mass and the acceleration due to gravity

f is directly proportional to m, therefore, f = mg

find the zeros simplify all irrational and complex solutions

f(x)=x^4-11x^2-80

Answers

Answer:

Step-by-step explanation:

f(x)=x^4-11x^2-80=x^4-16x^2+5x^2-80

=x²(x²-16)+5(x²-16)

=(x²-16)(x²+5)

=(x-4)(x+4)[x²-(-5)]

=(x-4)(x+4)[x^2-(5i²)]

=(x-4)(x+4)(x-√5 i)(x+√5 i)

so zeros are 4,-4,√5 i,-√5 i

A cuple travels 420 miles to dr0p their dughter off at summer camp. The trip back has a short cut and is only 360 miles. And the gas mileage is 50% better
due to a lighter load. Write an expression for the total gas used and simplify.

Answers

The expression for the simplified total gas used is 1.43x.

How to write the expression of the total gas

let the gas used on the way to camp "x"

Then the gas used on the way back can be calculated as follows:

360 / 420 × 0.5 × x

To calculate the total fuel used, We need to add this to the 'x' used on the way.

Therefore,

total gas used = x + 360 / 420 × 0.5 × x = x + 0.43x = 1.43x

learn more on expression here: https://brainly.com/question/1462980

the sum of three consecutive natural numbers is 1146, find the numbers.

the three numbers in increasing order are ______ , _____, and ________

Answers

[tex]\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383[/tex]

How much will the storage container
hold?
7 ft.
5 ft.
10 ft.
10 ft.
3 ft.
1 ft.
4 ft.
4 ft.

Answers

Answer:

The container will hold 190 ft^3 of volume of substance.

if the question means it.

Peyton's family took a road trip to the Grand Canyon. Peyton fell asleep 77% of the way through the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Peyton fell asleep?

Answers

The miles Peyton's family had travelled when he fell asleep is 770 miles

How many miles had they travelled when Peyton fell asleep?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Miles when Peyton fell asleep = 77% x 1000 = 770 miles

To learn more about percentages, please check: https://brainly.com/question/25764815

What table represents the relationship “A video game designer makes $35 per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 35, 70, 105. Column 2 is labeled Dollars with entries 1, 2, 3. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 40, 45. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 36, 37, 38. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 70, 105.

Answers

Answer:

d

Step-by-step explanation:

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