Is this Imaginary x2 - x + 1 = 0

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀

Answer: 5.099

Step-by-step explanation:

Hope this helps

answer is 11 boy now enjoyyyyyyyyy

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

[tex]c^2=a^2+b^2[/tex]

We have a right triangle.

[tex]c^2>a^2+b^2[/tex]

We have an obtuse triangle.

And if:

[tex]c^2<a^2+b^2[/tex]

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]

Evaluate:

[tex]1681=1681[/tex]

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3

Answer:

Chile it was c and d

Step-by-step explanation:

Answer:

x+2x is an equalent expression

Answer:

An equavalent expression is 3x+0

Answer:

6

Step-by-step explanation:

Greatest common factor (GCF) of 42 and 60 is 6.

As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.

List out all of the prime factors for each number:

Prime Factors for 42: 2, 3, and 7

Prime Factors for 60: 2, 2, 3, and 5

Now that we have the list of prime factors, we need to find any which are common for each number.

Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.

To calculate the prime factor, we multiply these numbers together:

GCF = 2 x 3 = 6

(hope this helps can i plz have brainlist :D hehe)

Answer:

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Step-by-step explanation:

We are given that

Height of crest, h=108 feet

Time for one cycle, T=1.9 s

We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.

We are given

[tex]y=Asin(\omega t-\phi)+B[/tex]

Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]

[tex]B=A+4=52+4=56 feet[/tex]

[tex]\omega=\frac{2\pi}{T}[/tex]

Using the formula

[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]

We assume,

Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]

Substitute the values

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Hence, the  sinusoidal function  that models the motion of the coaster train during this run starting at the top of a hill is given by

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Answer:

0.00139746127868

Step-by-step explanation:

just use a coculator

Answer:

The equation would be 6r-20... If he raked 15 lawns, his profit would be $70

Step-by-step explanation:

For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!

Answer:

comparing both the equation,

3X-3=6x-1

or, -2 =3X

or, X= -2/3

Y=6X-1

or, Y= 6× -2/3 -1

or, Y= -4-1

or, Y= -5

hence the required solution is (-2/3, -5)

∠PRQ = ∠STR

∠STR + 60° + 58° = 180°

∠STR = 62°

∠PRQ = 62°

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

Answer:

The answer is B

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3 times 4 is 12

Answer:

337.50

Step-by-step explanation:

Answer:

1.33 or about 2

Step-by-step explanation:

Answer:

12 cups of raisins

Step-by-step explanation:

If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!

Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...

We have to multiple 3×4 to find our ?

3×4 = 12

So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

one thousand five hundred and niethree .

Step-by-step explanation:

You just use words instead of numbers.

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

cause a cub has 4 sides so each side is 54

Answer:

The length of a side is 6.

Step-by-step explanation:

Since, the volume of a cube is equal to l*w*h.

V=l*w*h

Volume is equal to side cubed.

V=s^3

Cube 216 to get 6.

216=s^3

3^√216=s

Answer: 6

Answer:

3

Step-by-step explanation:

9 times 3 is 27. 27 plus 8 is 35

Answer:

d=3

Step-by-step explanation: