evaluate arctan(tan(2pi/3))

Answer:

35 graduates from university A had income below $20,000

Step-by-step explanation:

Directly from the data shown (see attached image) we see that 35 graduates from university A have income below $20,000

Answer:

B

Step-by-step explanation:

B is the correct answer

2+i/5= i=5 +=-

have a nice day

Answer:

[tex]\boxed{\sf B) \ 2-i}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2+i}{5}[/tex]

Reciprocal the fraction.

Switch the denominator with the numerator.

[tex]\sf \frac{5}{2+i }[/tex]

Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].

[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]

[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]

Apply rule to solve for the denominator:

[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]

[tex]\sf a=2\\b=1[/tex]

[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]

[tex]\sf \frac{10-5i}{4+1}[/tex]

[tex]\sf \frac{10-5i}{5}[/tex]

Simplify the fraction.

[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]

[tex]\sf 2-i[/tex]

Answer:

Hey mate!

Here is your ans!

A box plot displays the accuracy and dispays the range and distribution of the data along the number line which majes it easier to study and get the accurate answers.

Hope it helped.. If yes mark me BRAINLIEST and follow me too!

Answer:

When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.

Step-by-step explanation:

Sample response on edge :>

Answer:

m = -6

Step-by-step explanation:

3m = 2(m - 3)​

Distribute

3m = 2m - 6

Subtract 2m from each side

3m -2m = 2m-2m -6

m = -6

Answer:

[tex]\boxed{\red{m = - 6}}[/tex]

Step-by-step explanation:

[tex]3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6[/tex]

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

Answer:

hello :

Step-by-step explanation:

x(x+3)(x+3)=0  means : x=0 or x+3=0 or x+3=0

x=0 or x=-3 or x=3

Answer:

90 degrees

Step-by-step explanation:

given:

ABCD~EFGH

mB=mBCD=90

mBAD=128

find mFGH

this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees

Answer:

The answer is

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]

[tex] {x}^{ \frac{4}{6} } [/tex]

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

Rewriting it in radical form

We have the final answer as

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Hope this helps you

Answer:

[tex]7\sqrt{6}[/tex]

Step-by-step explanation:

You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.

We can also check this.

[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35

[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8

[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15

7.35+9.8 = 17.15

Hope this helped!

Answer:

17.15

Step-by-step explanation:

[tex]3\sqrt{6}[/tex]

Square root of 6 is about 2.45

2.45 * 3 = 7.35

[tex]4\sqrt{6}[/tex],

Square root of 6 is about 2.45,

2.45*4 = 9.8

7.35 + 9.8 = 17.15

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

[tex]-16t^2<-64[/tex] then divide both sides by -16:

[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

Answer:

A on edg

Step-by-step explanation:

Answer:

4 socks.

Step-by-step explanation:

There are three different colors of socks in the drawer: black, gray and orange.

The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

Answer:

5 years

Step-by-step explanation:

Firstly, Let's use a function to find how much Jenny owes every year.

Using f(t)=3,000(1.18)^t

We can find the amount of money jenny owes every year.

Now let's try to find how many years it would take her to double her credit card debt.

If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.

Answer:

B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.

Hope this helps :)

Answer:

x = 15, y = 4

Step-by-step explanation:

By Basic proportionality theorem, we have:

x/ 5 = 18/6

x = (18*5)/6

x = 90/6

x = 15

Again By Basic proportionality theorem, we have:

12/y = 18/6

y = (12*6)/18

y = 72/18

y = 4

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]

do not hesitate if you have any question

Answer:

option c is the right answer

Answer:

Choice A

Step-by-step explanation:

First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]

Answer:

m^5/ 162 n

Step-by-step explanation:

( 3 m^-2 n) ^-3 / (6mn^-2)

We know a^ -b = 1/ a^b

1 / ( 3 m^-2 n) ^3 *(6mn^-2)

Distribute the power of 3

1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)

We know a^ b^ c = a^ ( b*c)

1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)

1 / ( 27 m^( -6) n^3) * ( 6m n^-2)

We know a^b * a^c = a^ ( b+c)

1 / ( 27*6 m^( -6+1) n^(3-2))

1/ (162 m^ -5 n^1)

We know a^ -b = 1/ a^b

m^5/ 162 n

Answer:

a. 170

b. −25

c. -25

d. 75√3 (Decimal: 129.903811)

Answer:

0.03

Step-by-step explanation:

Khan

The amount of money the Trevor's family pay per minute on shower water is $0.03

Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter

= 72 / 480 × 0.20

= 0.15 × 0.20

= $0.03

Learn more about cost:

https://brainly.com/question/19104371

Complete question:

Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?

Answer: the mass of sand removed from both containers is 0.2kg

Step-by-step explanation:

Given that:

Mass of sand in container X = 1200g = 1.2kg

Mass of and in container Y = 7.2kg

Equal amount of sand was removed from both.

Let the mass of sand removed from both containers = z

That is;

Container X = 1.2 - z

Container Y = 7.2 -z

Now container Y has become 7times the content in container X

Container Y = 7 * (container X)

7.2 -z = 7(1.2 - z)

7.2 - z = 8.4 -7z

-z + 7z = 8.4 - 7.2

6z = 1.2

z = 0.2

Therefore, the mass of sand removed from both containers is 0.2kg

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

Answer:

Step-by-step explanation:

From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite

Since vertically opposite angles are equal we can equate them to find x

That's

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

Group like terms

5x - 4x = 20 + 7

Hope this helps you

Answer:

213

Step-by-step explanation:

1285 students -7 students travel : 1278

1287 students / 6 buses= 1278/6=213

213 students

Answer:

1/4 is the answer

Step-by-step explanation:

I am not sure how to explain but the answer is 1/4

Answer:

1/4

Step-by-step explanation:

Answer: 6 - 5

Step-by-step explanation:

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5)

now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!

Answer: $1841.38 .

Step-by-step explanation:

Given, the equation [tex]y=4.65(1.37)^x[/tex] fits the graph of stock XYZ over the past month with an r=value of 0.9894.

At x= 19,

[tex]y=4.65(1.37)^{19}\\\\\Rightarrow\ y=4.65(395.9960)\\\\\Rightarrow\ y=1841.38[/tex]

Hence, At x= 19 days , the worth of XYZ will be $1841.38 .