Can someone help me please

Answer:

cot 840° = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

First, we must bring the value of 840° down to a value less than 90°.

To do that, we have to consider how many full rotations 840° is on the coordinate plane.

Start by dividing by 360°, since that is one full rotation.

840°/360°=2 R.120

So now we know that 840° is 120° extra, and therefore, the two calues will be equal.

So, cot840°, will be the same as cot120°

But now we need to make 120° a value less than 90°. So we can divide by 90°

120°/90°, and you get 1 R.30°

So now we also know that cot120° = cot 30°

Using your trigonometric table, we see that cot 30° = [tex]\sqrt{3}[/tex]

Hope this helped

Answer:

cot840=cot(180×5-60)=cot(-60)since cot is negative in second quadrant

cot(-60)=1/(tan(-30))=1/(-1/√3)=-√3

Answer:

I think it's 13

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The gradient function is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

Given

y = x² + 3x + 1, then

[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{2-1}[/tex] + 3[tex]x^{1-1}[/tex] + 0 = 2x + 3[tex]x^{0}[/tex] = 2x + 3 ← gradient function

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

Given:

Total number of beans = 20

Number of blue of beans = 8

One bean is selected from the bag at random.

To find:

The probability that she will draw a bean that is NOT blue.

Solution:

We have,

Total number of beans = 20

Number of blue of beans = 8

Number of non-blue beans = 20 - 8

                                              = 12

Now, the probability that she will draw a bean that is NOT blue is

[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]

Therefore, the correct option is C.

Answer:

y=0.6 x=3.6

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Answer:

Julie jogged five times further than Jan.

Step-by-step explanation:

We can find this solution just by dividing Julie's distance by Jan's:

[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]

So Julie jogged five times further.

Answer:

20 degrees

Step-by-step explanation:

If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal

2x+6=5x

Subtract 2x on both sides

6=3x

Divide by 3 on both sides

x=2

Plug the value of x into either one of the angle measures equation

5x

5(2)=10

If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2

10(2)=20

Therefore 20 degrees is the answer for the measure of Angle PQR

Hope it helped :))

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

Answer:

[tex]m=3x^{3} +2[/tex]

Step-by-step explanation:

[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]

[tex]4x^{2} +m=3x^{2} +2x+2[/tex]

[tex]x^{2} +m=2x+2[/tex]

[tex]m=3x^{3} +2[/tex]

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

Answer:

POG

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nsjsjsjsms

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

B

Step-by-step explanation:

I don't remember but I just know how to do it

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).

Answer:

16 I think

Step-by-step explanation:

If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)

I hope this helped!

Answer:

Step-by-step explanation:

OA.

y = -4.50 + 6.25

OB.

I = 4.5

OC.

y = 6.25

OD.

y

= -4.5

Answer:

66.) 1.) M=-9/7

2.) Y-INTERCEPT (9)

3.) X-INTERCEPT (7).

Answer:

Step-by-step explanation:

I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Answer:

He drove 310 miles per hour

Step-by-step explanation:

So this means that in one hour he drives 62 miles

to find how much in five hours multiply 5 by 62

5x62=310miles

Answer:52

Step-by-step explanation:

Answer:

17x-7y

Step-by-step explanation:

Im assuming you need to simplify it.

combine 13x and 4x

17x-7y

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Answer:

its not a function  

Step-by-step explanation:

Answer:

£2585.64

Step-by-step explanation:

FV=PV(1+i)^t

Which means we have

1900(1+.045)^7

1900(1.045)^7

2585.64

Answer:

x°+5 x°+5

2xo

f(g(_1))=2xo

Answer: -64y^3x^12

Step-by-step explanation:

Answer: 3. 5 7/20,

Explanation: I took -3 2/5 and turned it into -17/5 and did the same with 8 3/4 which is 35/4. I gave them both the same denominator so I could add them together and it became -68/20 + 140/20 which equals 107/20