. g(x)=4-8²
what is the y and x intercept?

In the given right triangle, AC ≈ 5.506 units, α ≈ 25°, and γ measures 0 degrees.

In the given right triangle, we are given that BC has a length of 5 units and angle β is 65 degrees. Let's label the vertices of the triangle as follows: A, B, and C. Angle β is opposite side BC.

To find the missing angles and sides, we can use trigonometric ratios such as sine, cosine, and tangent.

Since we know the opposite side (BC) and angle β, we can use the sine ratio, which states that the sine of an angle is equal to the ratio of the length of the side opposite to the hypotenuse.

sin(β) = BC/AC

Rearranging the equation, we have:

AC = BC/sin(β)

AC = 5/sin(65°)

AC ≈ 5/0.90631

AC ≈ 5.506

Therefore, the length of side AC is approximately 5.506 units.

Now, to find the missing angles, we can use the fact that the sum of angles in a triangle is 180 degrees.

Angle α = 90° - β

Angle α = 90° - 65°

Angle α = 25°

Thus, angle α measures approximately 25 degrees.

Lastly, we can find angle γ by subtracting angles α and β from 90 degrees.

Angle γ = 90° - α - β

Angle γ = 90° - 25° - 65°

Angle γ = 90° - 90°

Angle γ = 0°

Therefore, angle γ measures 0 degrees.

To summarize, in the given right triangle with BC = 5 units and β = 65 degrees, the missing side AC is approximately 5.506 units long. The missing angles are α ≈ 25 degrees and γ = 0 degrees.

Learn more about Right triangle details

https://brainly.com/question/27996834?referrer=searchResults

#SPJ11

Answer:

10 grapes

Step-by-step explanation:

50 divided by 5 is 10

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

There are 77 green counters in the bag.

Step-by-step explanation:

Let's assume the number of green counters is represented by the variable "x".

According to the given ratio, the number of purple counters would be (3/7) * x, and the number of red counters would be (8/7) * x.

It is stated that there are 11 more red counters than green counters, so we can set up the equation:

(8/7) * x = x + 11

To solve this equation, we can multiply both sides by 7 to get rid of the denominator:

8x = 7x + 77

Next, we can subtract 7x from both sides:

x = 77

Therefore, there are 77 green counters in the bag.

Answer:

40,000

Step-by-step explanation:

I took the test

There are 40,000 possible codes that start with the prime number could Genvieve create.

For the first digit, Genevieve wants to start with a prime number.

The prime numbers between 0 and 9 are 2, 3, 5, and 7.

So, there are 4 choices for the first digit.

For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.

Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.

To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):

4 × 10⁴ = 40,000

Therefore, the correct answer is A) 40,000.

Learn more about the prime numbers here:

https://brainly.com/question/27193977

#SPJ3

The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The expression that shows the number 8 in one's place.

Let's check all the options, then we have

A) 34.56 + 24.89 = 59.45

In the number 59.45, the one's place is 9. So, it is incorrect.

B) 72.35 + 45.81 = 118.16

In the number 118.16, the one's place is 8. So, it is correct.

C) 9.56 + 9.41 = 18.97

In the number 18.97, the one's place is 8. So, it is correct.

D) 12.34 + 15.42 = 27.76

In the number 27.76, the one's place is 7. So, it is incorrect.

The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

11.71875%

Step-by-step explanation:

This is an example of systematic sampling, where every nth item is selected for testing throughout the production day.

In this case, every 100th product produced is selected for quality control testing. Systematic sampling is a statistical technique used in survey methodology that involves choosing components from an ordered sampling frame. An equiprobability approach is the most typical type of systematic sampling.

This method treats the list's evolution in a cyclical manner, returning to the top after it has been completed. The sampling process begins by randomly choosing one element from the list, after which every subsequent element in the frame is chosen, where k is the sampling interval (sometimes referred to as the skip).

More on systematic sampling: https://brainly.com/question/24317913

#SPJ11

Answer:

$19,000 loss

Step-by-step explanation: Cost of the car: $29,000

                                              Cost of the car he sold for: $10,000

                                              Total lost occurred: $29,000 - $10,000 = $19000

                                              Therefore, the lost occurred was $19,000

Answer:

2. -4/3

5. 128/105

9. -5/6

We are to compute the flux integral,  J1² F, given H = {(x,y,z) € R³ : x² + y² + z² = 16, z ≤ 0} and F(x,y,z) = (0, 2y, -4), where N is directed in the direction positive z-coordinates. Therefore, the required flux integral is 64π/3.

A flux integral is a special type of line integral. A flux integral is used to measure the quantity of a vector field flowing through a surface. It is defined as a surface integral over a vector field and the surface over which the integral is taken. The flux integral can be calculated using the following formula:∫∫F . dS = ∫∫F . N ds

Here, J1² F is the flux integral. Now, to compute the given flux integral, J1² F, we need to evaluate the surface integral:∫∫F . N ds where N is the outward unit normal vector at the surface. We can find N as follows: N = (Nx, Ny, Nz), where Nx = 2x/√(x²+y²), Ny = 2y/√(x²+y²), and Nz = 0

Hence, N = (2x/√(x²+y²), 2y/√(x²+y²), 0)To evaluate the surface integral, we need to parametrize the surface. The hemisphere can be parametrized as: x = 4sin(θ)cos(φ)y = 4sin(θ)sin(φ)z = -4cos(θ)where 0 ≤ θ ≤ π/2 and 0 ≤ φ ≤ 2π

Thus, we can write J1² F as:J1² F = ∫∫F . N ds= ∫∫(0, 2y, -4) . (2x/√(x²+y²), 2y/√(x²+y²), 0) ds= ∫∫4y ds where, dS = ds = 4r²sinθ dθ dφ = 4(16sin²θ)sinθ dθ dφ= 64sin³θ dθ dφ

Hence, we have:J1² F = ∫∫4y ds= 4∫∫y(16sin²θ)sinθ dθ dφ= 64∫₀^(π/2) ∫₀^(2π) (sin³θ cosφ) dθ dφ= 32π∫₀^(π/2) (sin³θ) dθ= 32π (2/3) = 64π/3

Therefore, the required flux integral is 64π/3.

More on flux integral: https://brainly.com/question/31991100

#SPJ11

Answer:

310

Step-by-step explanation:

By the quotient and product rules,

\(\left(\dfrac fg\right)'(0) = \dfrac{g(0) f'(0) - f(0) g'(0)}{g(0)^2} = 1\)

\((f\times g)'(0) = f(0) g'(0) + f'(0) g(0) = 21\)

Given that \(f'(0)=5\) and \(g'(0)=3\), we have the system of equations

\(\dfrac{5g(0) - 3f(0)}{g(0)^2} = 1 \implies 5g(0) - 3f(0) = g(0)^2\)

\(3f(0) + 5g(0) = 21\)

Eliminating \(f(0)\) gives

\(\bigg(5g(0) - 3f(0)\bigg) + \bigg(3f(0) + 5g(0)\bigg) = g(0)^2 + 21\)

\(10g(0) = g(0)^2 + 21\)

\(g(0)^2 - 10g(0) + 21 = 0\)

\(\bigg(g(0) - 7\bigg) \bigg(g(0) - 3\bigg) = 0\)

\(\implies \boxed{g(0) = 7 \text{ or } g(0) = 3}\)

Solve for \(f(0)\).

\(3f(0) + 5g(0) = 21\)

\(3f(0) + 35 = 21 \text{ or } 3f(0) + 15 = 21\)

\(3f(0) = -14 \text{ or } 3f(0) = 6\)

\(\implies \boxed{f(0) = -\dfrac{14}3 \text{ or } 3f(0) = 2}\)

Answer:

7,747

Step-by-step explanation:

9,021-1,274=7,747

Answer:

Step-by-step explanation:

7

Answer:

Its B because you find the number in the middle, if theres two numbers in the middle, you add them up and divide by 2

the answer is B

the answer is B because 21 and 23 both seem to be in the middle. when two numbers are in the middle, you add them, then divide by two as a result, you would get 22.

The two percentages do not agree. Hence, option D is correct.

a) The mean time was 103.59 seconds, with a standard deviation of 5.16 seconds. If the Normal model is appropriate, the percentage of times that will be less than 98.43 seconds can be calculated as follows:

z = (x - μ) / σz = (98.43 - 103.59) / 5.16z = -1.00Using z-score table, we can determine that the percentage of times that will be less than 98.43 seconds is approximately 15%.

Therefore, the percentage of times that will be less than 98.43 seconds is 15%.

(Round to the nearest integer as needed)Hence, option A is correct.b) The actual percentage of times less than 98.43 seconds can be calculated by finding the number of competitors that finished with a time less than 98.43 seconds and dividing that number by the total number of competitors.

98.06, 98.09, 98.46, 98.47, 98.96, 98, 99, 99.12, 99.35, 99.57, 99.98, 100.08, 100.11, 100.28, 100.64, 101.32, 101.06, 101.25, 101.34, 101.39, 102.48,

101.99, 103.01, 103.87, 104.11, 103.64, 104.15, 104.27, 104.37, 104.33, 104.52, 105.47, 105.48, 105.69, 105.61, 113.02, 105.73, 109.65, 106.92, 116.11, 117.43, 117.59, 99.09, 100.67, 103.12, 105.02, 114.55, 99.11, 100.77, 103.18, 105.39, 115.97

There are no competitors who finished with a time less than 98.43 seconds. Therefore, the actual percentage of times less than 98.43 seconds is 0%. (Round to one decimal place as needed)Thus, option D is correct.c) The two percentages do agree.

This is because the Normal probability plot shows that the Normal model is not appropriate.

Therefore, the actual percentage of times less than 98.43 seconds is 0%, which is different from the percentage that was calculated using the Normal model. Since the Normal model is not appropriate, the actual percentage of times is more accurate.

To learn more about : percentages

https://brainly.com/question/24877689

#SPJ8

Answer:

The answer should be A.

Step-by-step explanation:

Well, to determine how two triangles are similar you first look at the image of what they give you.

As you can see the images shows only degree angles.

Looking at your option to see degree angles.

In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.

Our last option is between A and D.

D is false as we determine the triangles are similar to each other.

RCW and VCB are vertically opposite meaning their 25° are the same to each other.

We know that every triangle adds up to 180.

Answer: (16,-12)

Step-by-step explanation: just cuz... just listen linda

Answer:

(16,-12)

Step-by-step explanation:

I used a graph to get this answer

Answer: (4,3)

Step-by-step explanation: double the midpoint then subtract the endpoint from the midpoint to get (4,3)

Answer:

be chill bro but which subject is this

Answer:

3.2.1. 15 cm is equal to 150 mm (since 1 cm = 10 mm)

3.2.2. To determine the number of boxes that can be tied together to form a bundle, we need to divide the thickness of the bundle by the thickness of each box. Thus, 15 cm (or 150 mm) divided by 8 mm is approximately 18.75. Since you cannot have a fraction of a box, the answer is 18 boxes.

3.2.3. To determine the number of bundles used to make one block of cardboard, we need to divide the height of the block (1.2 m or 1200 mm) by the height of each bundle (150 mm). Thus, 1200 mm divided by 150 mm is equal to 8. Therefore, 8 bundles are used to make one block of cardboard.

Answer: \(-5\)

Step-by-step explanation:

Substituting into the slope formula, the slope is \(\frac{-6-(-1)}{3-2}=-5\).

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

To learn more on hypothesis statements; click here:

https://brainly.com/question/23709550

#SPJ4

When x = 2, f(g(x)) is approximately equal to 187/9.

To solve for f(g(x)) when x = 2, we need to substitute the value of x into the function g(x) and then substitute the result into the function f(x). Let's calculate it step by step:

Step 1: Calculate g(x) when x = 2:

g(x) = x + 4/3

g(2) = 2 + 4/3

g(2) = 2 + 4/3

g(2) = 10/3

Step 2: Substitute the result from step 1 into f(x):

f(x) =\(x^2\) + 2x + 3

f(g(x)) = f(10/3)

f(g(2)) = f(10/3)

Step 3: Calculate f(g(2)):

f(10/3) = (10/3\()^2\) + 2(10/3) + 3

f(10/3) = 100/9 + 20/3 + 3

f(10/3) = 100/9 + 60/9 + 27/9

f(10/3) = 187/9

Therefore, when x = 2, f(g(x)) is approximately equal to 187/9.

Learn more about function

https://brainly.com/question/12431044

#SPJ4

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

2x²=12*12

x²=144/2

x=√72

x=8.48528137424

One side of square is 8.48528137424 cm

A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

Learn more about the distance formula on:

https://brainly.com/question/661229

#SPJ1