16) Define the Celestial Sphere and draw a picture that
shows/labels the Zenith, Nadir, Celestial equator, and North
celestial pole. Be able to define each one of them as well.

To solve the equation cosθ - 1 = -1 in the interval [0, 2π), we first add 1 to both sides of the equation to obtain cosθ = 0. Then, we recall that the cosine function equals 0 at π/2 and 3π/2 in the given interval. Thus, the solutions are θ = π/2 and θ = 3π/2.

We can add 1 to both sides of the equation to obtain cosθ = 0. This is because -1 + 1 = 0. Then, we recall the values of the cosine function in the given interval. The cosine function equals 0 at π/2 and 3π/2, so these are the solutions to the equation.

The solutions to the equation cosθ - 1 = -1 in the interval [0, 2π) are θ = π/2 and θ = 3π/2, expressed in radians in terms of π. There are two solutions, separated by a comma.

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It take 4 hours to paint a house working alone.

Betty and karen have been hired to paint the houses in a new development. Working together the women can paint a house in two thirds the time that it takes karen working alone. Betty takes 8 hours to paint a house alone. How long does it take karen to paint a house working alone?

According to the problem, when Betty and Karen work together, they can paint a house in two-thirds the time it takes Karen to paint a house alone, so t * 2/3.

Let k = time it takes Karen to paint the house alone

then

(2/3)(k)(1/k + 1/8) = 1

(2k/3)(1/k + 1/8) = 1

(2k)(1/k + 1/8) = 3

(2 + k/4) = 3

K=4

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Answer:

14

Step-by-step explanation:

can you please mark this brainliest if it helped? <3

Answer:

x =14

Step-by-step explanation:

-1/2 x+1 = -x+8

Add x to each side

-1/2 x +x+1 = -x+x+8

1/2x +1 = 8

Subtract 1 from each side

1/2x +1-1- =8-1

1/2x = 7

Multiply each side by 2

1/2x *2 =7*2

x =14

Answer:

3.14 times 1000 you can say is bigger

Step-by-step explanation:

Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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Answer:

\(\boxed{ \approx 1734.2 m^2}\)

Step-by-step explanation:

The volume of a cylinder \(V_c\) is calculated using the following formula.

\(V_c=\pi r^2 h_c\)

And, the volume of a circular pyramid \(V_p\) is calculated with the:

\(V_p=\frac{\pi r^2 h_p}{3}\)

where:

knowing this, we can solve the exercise:

\(\begin{aligned}V&= V_c+V_p\\&=\pi r^2 h_c+ \frac{\pi r^2 h_p}{3}\\&= \pi r^2 (h_c+ \frac{h_p}{3})\\&= \pi (6)^2 (12+\frac{10}{3})\\&= 552 \pi m^2\\& \approx 1734.2 m^2\end{aligned}\)

\(\text{-B$\mathfrak{randon}$VN}\)

The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Answer: -9

Step-by-step explanation: 117 divided by -13 = -9

-1053 divided by 117 = -9

common ratio=-9

Answer:

8y+9

Step-by-step explanation:

Answer:

6y + 44

Step-by-step explanation:

y + 4 + 5(y + 8)

y + 4 + 5y + 40

6y + 44

Answer:

25 students

Step-by-step explanation:

85 minus 10 = 75. this tells you how many he gave away.

75 pieces of gun divided by 3 is 25.

He gave out 3 pieces of candy, 25 times

Answer:

m = -7/2

Step-by-step explanation:

If two lines are parallel, they have the same slope. The slope of r is -7/2 (y=mx+b), so the slope of r is also -7/2.

Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

Answer:

x = -3, y = -7

Step-by-step explanation:

You can set the equations equal to each other, so the set becomes:

2x - 1 = 3x + 2

-x = 3

x = -3

y = 2(-3) -1 = -7

Answer:

x = -3

y = -7

Step-by-step explanation:

y = 2x - 1

y = 3x + 2

Set the equations equal to each other

2x-1 = 3x+2

Subtract 2x from each side

2x-1-2x = 3x+2-2x

-1 =x+2

Subtract 2 from each side

-1-2 = x+2-2

-3 =x

Now find y

y = 2x-1

y = 2(-3) -1

y = -6-1

y = -7

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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Answer:

The answer is the third graph.

Step-by-step explanation:

Since we are looking for a constant balance, we should focus on the line in the graph. In graph 3, we see a line going straight horizontally, without any inclines or declines. Since the word "constant" in Mathematics is a line that has a slope of 0, the answer must be the third graph.

Sebastian, this is the solution to the first problem you uploaded:

Let's recall that the interior angles of a triangle add up to 180 degrees.

Then if E =

triangle is the best answer

Answer:

Step-by-step explanation:

Answer:

(-5, -3)

Step-by-step explanation:

x = -2 + (-3)

x = -5

-----------------

y = -8 - (5)

y = -3

Answer:

place them diagonally ik that

Solution

Find the Sine, cosine, tangent of - 120​

Answer:

A 3.14159.......

Step-by-step explanation:

We need a non rational number

3.14159 is pi which is an irrational number

1/7, .27(repeating) and .83333(repeating) can be written in the form

a/b where a and b are integers, which makes them rational

Answer:

its a

Step-by-step explanation:

....

The value of x is cos^-1(8.8/11).

image attached below,

The triangle in question is a right angled triangle with side KJ as hypotenuse, KL as the opposite (side facing the angle x) and JL is the adjacent. To find the equation needed to calculate the angle x, we will use the SOH, CAH, TOA trigonometry identity.

Trigonometry identity

It is defined as trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality .

According to CAH, cos (x) = adjacent/hypotenuse

cos(x) = JL/KJ

Given JL = 8.8 and JL = 11

cos (x) = 8.8/11

x= cos^-1(8.8/11).

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Answer:

Step-by-step explanation:

10a

Answer:

there is no number that can do that the closest you can get is 7 and 7 giving you 49 when multplied

Step-by-step explanation:

Answer:

10 × 2 × 2 = 50

10 + 2 + 2 = 14

\(\\ \sf\longmapsto \dfrac{15}{k}\)

Put the value

\(\\ \sf\longmapsto \dfrac{15}{3}\)

\(\\ \sf\longmapsto 5\)

\(\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ \)

Value of k is 3

\(\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ \)