In a unit circle, 0 = 37 radians. What is the terminal point?
A. (0, -1)
B. (-1,0)
C. (1,0)
D. (0.1)

Answer:

the correct answer is 197 in^2

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

[tex]y = -\frac{1}{5}\sin(x)[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\sin(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\sin(k(x + c)) +d[/tex] and [tex]y = -\frac{1}{5}\sin(x)[/tex]

[tex]A = -\frac{1}{5}[/tex]

So:

[tex]Amplitude = |-\frac{1}{5}|[/tex]

[tex]Amplitude = \frac{1}{5}[/tex]

Answer:

A 234.11

Step-by-step explanation:

[tex]= 234.11148454551 feet^{3}[/tex]  is what you get lol

Answer:

0

Step-by-step explanation:

-4 - (-4) = 0

divided by

1 - 7 = -6

-0/6 so 0

Answer:

a

Step-by-satep explanation:

Answer:

6 and 8

Step-by-step explanation:

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

its 12 sweety hope this helps

Answer:

4496.8 pounds

multiply 642.4by7

Answer:

-6(-2/3+2x)

=12/3+12x

=4+12x

4(1+3x)

9514 1404 393

Answer:

  7 cm

Step-by-step explanation:

The formula for the area of a rectangle tells you the area is the product of length and width:

  A = LW

  56 = 8W

From your knowledge of multiplication tables, you know that ...

  56 = 8·7

That is, W = 7 . . . cm.

The width of the card is 7 cm.

Answer:

Step-by-step explanation:

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Answer:

Your answer is C

Step-by-step explanation:

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)

Answer:

0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.

Step-by-step explanation:

For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A report by the US government states that 85,5% of citizens have a cell phone.

This means that [tex]p = 0.855[/tex]

You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.

This is [tex]P(X = 36)[/tex] when [tex]n = 48[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 36) = C_{48,36}.(0.855)^{36}.(1-0.855)^{12} = 0.0214[/tex]

0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.

Answer:

The recommended sample size is 1,698

Step-by-step explanation:

The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces

The required confidence level = 95%

The margin of error, e = ± 0.5

When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25

The standard score at 99% confidence level, z = 2.576

The sample size formula is given as follows;

[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]

Where;

P × Q = The variance = σ²

∴ P × Q = 4² = 16

The sample size becomes;

S = 2.576² × 16/(0.25²) = 1,698.758656

We round down to get the recommended sample size, S = 1,698

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

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Answer 90

Step-by-step explanation:

Answer:A-120

Step-by-step explanation:

Answer:

B) (1,15)

Step-by-step explanation:

Because 1/15= 15 and so does everything else. But it iS the first point that we look at to see the answer of the rest.

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

Answer:

Equation 1,

[tex]x + 2y = 11[/tex]

Equation 2,

[tex]x - 2y = 11[/tex]

Take equation number 2.

[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]

Substitute 'x' in Equation number 1.

[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]

y = 0.

So x,

[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]

x = 11.

Answer:

using elimination method multiply both equations by 2...then subtract equation 2 from 1

Answer:

288 in^3

Step-by-step explanation:

1) find the volume of the cube

V = side^3 = 6^3 = 216 in^3

2) find the base surface of the pyramid:

base surface = side^2 = 6^2 = 36 in^2

3) find the height of the pyramid:

height of the solid - height of the cube = 12 - 6 = 6 in

4) find the volume of the pyramid:

V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3

5) add up the two volumes

V = 216 + 72 = 288 in^3

Answer:

He would need a score of 0.8 = 80%.

Step-by-step explanation:

Average score:

The average score is the sum of all scores divided by the number of tests.

What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?

Combining with the next text, there will be 6, and the sum will be: 0.7 + 1.05 + 0.75 + 0.9 + 0.9 + x = 4.3 + x.

Joe wants his overall test average to be 85%.

So

[tex]\frac{4.3 + x}{6} = 0.85[/tex]

[tex]4.3 + x = 5.1[/tex]

[tex]x = 5.1 - 4.3 = 0.8[/tex]

He would need a score of 0.8 = 80%.

Answer:

One woman receive 20 eggs

And the other receive 40 Egss

Explanation:

So the ratio is 1:2 so we gonna add them to get the total so 1+2=3

To find each amount divide each by the total so 1/3 and 2/3

To find the first amount

1/3×60=20

To find the other amount you can either subtract

60-20=40

or

2/3×60=40

One woman receive 20 eggs and the other receive 40 eggs.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

So the ratio is 1:2 so we have to add them to get the total.

So 1+2=3

In order to find each amount divide each by the total.

So 1/3 and 2/3

The first amount,

1/3 × 60 = 20

The other amount,

60-20=40

or

2/3 × 60 = 40

Thus, One woman receive 20 eggs and the other receive 40 eggs.

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Answer:

C is the correct answer.

Step-by-step explanation:

Putting the value of x & y as -4 & 9 respectively.

9=(-1/4)(-4) + 8

9=1+8

9=9 [True]

Answer:

(x,y)=(4,-9)

Step-by-step explanation:

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The solution of the equation means the value of the unknown or variable.

The system of the equation is given below.

7x + 4y = – 8      …1

8x + 5y = –13     …2

Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have

32x – 35x = –52 – (–40)

          –3x = –12

              x = 4

Substitute the value of x in equation 1, then the value of y will be

7(4) + 4y = – 8

 28 + 4y = –8

          4y = –36

            y = –9

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

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Answer:

all real numbers

Step-by-step explanation:

As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.

Domain: all real numbers

The Answer Is All Real Numbers

This is because the graph extends to all x values which makes this corrects.