EASY QUESTION

Read question 7

Topic: Volume

Answer:

Step-by-step explanation:

im not sure how to answer this so im going to put this in number form :b

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stay safe :b

The domain of the function y = 2√(x - 6) is all real numbers x such that x is greater than or equal to 6. This is represented as [6, ∞).

The domain of the function y = 2√(x - 6) is the set of all x-values for which the expression inside the square root is non-negative. This is because the square root function is only defined for non-negative values.

To find the domain, we set up the inequality:

x - 6 ≥ 0

Solving this inequality, we get

x ≥ 6

Therefore, the domain of the function y = 2√(x - 6) is [6, ∞). This includes all real numbers x starting from 6 to positive infinity.

Answer:

y - 6 = (5/6)(x - 4)

Step-by-step explanation:

Write an equation that represents the line through the points (-2,1) and (4,6)

As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.

Thus, the slope of the line connecting these two points is m = rise/run = 5/6.

Using (4, 6) as one point on the line, the equation of the line in point-slope form is

y - 6 = (5/6)(x - 4)

Answer: y - 6 = (5/6)(x - 4

Step-by-step explanation:

Answer:

n = 20

Step-by-step explanation:

Add 7n to both sides.

-5n + 7n - 12 = 2n - 12.

-7n + 7n + 28 = 28.

Now the equation is 2n - 12 = 28.

Add 12 to both sides to isolate the variable.

2n - 12 + 12 = 2n.

28 + 12 = 40.

Now the equation is 2n = 40. Divide both sides by 2.

n = 20.

Answer:

n=20

Step-by-step explanation:

-5n-12 =-7n+28

plus 7n to each side

2n - 12 = 28

add 12 to each side

2n=40

divde by 2 to isolate the n.

you get n=20

Answer:

2.3 feet/ second

Step-by-step explanation:

To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.

This is given by rate of change = (change in position)/ change in time

From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.

Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds

Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.

Rounding off the answer to the nearest tenth, we have 2.3 ft/second

Answers:

Step-by-step explanation:

There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:

An arithmetic sequence is produced by adding the same number to all the terms in the sequence.

EXAMPLE:

5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)

To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.

7 - 5 = 2

9 - 7 = 2

11 - 9 = 2

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

All results equal 2, so the sequence is arithmetic

From your list: The following sequences are arithmetic

A. 5, 10, 15, 20, 25 (common difference of 5)

The next type of sequence is the geometric sequence.

A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.

EXAMPLE:

100, 50, 25 (Each term is divided by 2)

To figure this out, we divide each term in the sequence by the next term.

100 / 50 = 2

50 / 25 = 2

All results are two, so this sequence can be confirmed to be geometric

From your list: The following sequences are geometric

C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)

D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)

There is one final type of sequence, which has no common difference, sum, quotient, or product.

EXAMPLE:

5, 6, 8, 9, 11, 12, 14, 15

This sequence has a pattern, the differences between the numbers are not common.

6 - 5 = 1

8 - 6 = 2

9 - 8 = 1

11 - 9 = 2

12 - 11 = 1

14 - 12 = 2

15 - 14 = 1

From your list: The following sequences are neither geometric nor arithmetic

B. 1, 1, 2, 3, 5, 8, 13 (No pattern)

I'n always happy to help :)

The correct sequences which are geometric sequence is,

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

All the sequences are,

A) 5, 10, 15, 20, 25

B) 1, 1, 2. 3, 5, 8, 13

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

Now, We know that;

Common ratio of the geometric sequences are same.

Hence, We get;

A) 5, 10, 15, 20, 25

Common ratio = 10/5 = 2

Common ratio = 15/10 = 3/2

Hence, It is not geometric sequence.

B) 1, 1, 2. 3, 5, 8, 13

Common ratio = 1/1 = 1

Common ratio = 2/1 = 2

Hence, It is not geometric sequence.

C) 10, 5, 2.5, 1.25, 0.625,

Common ratio = 5/10 = 1/2

Common ratio = 2.5/5 = 1/2

Hence, It is geometric sequence.

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

Common ratio = - 3/- 9 = 1/3

Common ratio = - 1/- 3 = 1/3

Hence, It is geometric sequence.

Thus, The correct sequences which are geometric sequence is,

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

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Answer:

1

2

4

i did it on ed

Answer:

2l + 2w. l+l+w+w. l+l+2w. 2(l+w)

Answer:

The volume of the cylinder is 9.42ft³

Step-by-step explanation:

radius = half of diameter

r = 2ft /2 = 1ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3ft

π = 3.14

r = radius = 1ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (1ft)²) * 3ft

v = (3.14 * 1ft²) * 3ft

v = 3.14ft² * 3ft

v = 9.42ft³

The volume of the cylinder is 9.42ft³

Final answer:

To double Rahul's savings of $3,000 to $6,000 in six years through compound interest, the required annual interest rate is approximately 12.25%.

Explanation:

The student wants to determine the interest rate needed for his savings to grow from $3,000 to $6,000 over a period of six years with compound interest compounded annually. We can use the formula for compound interest: A = P(1 + r)^n, where A is the amount of money accumulated after n years, including interest, P is the principal amount (initial sum of money), r is the annual interest rate, and n is the number of years the money is invested for.

To solve this, use the formula with A = $6,000, P = $3,000, and n = 6 years, and then solve for r:

6,000 = 3,000(1 + r)⁶

Dividing both sides by 3,000:

2 = (1 + r)⁶

Now we must take the sixth root of both sides to solve for (1 + r):

(1 + r) = √⁶(2)

Then subtract 1 from both sides to solve for r:

r = √⁶(2) - 1

Using a calculator, simply compute the sixth root of 2, subtract 1, and convert to percentage to find the required interest rate:

r = 0.122462… or 12.2462%

Therefore, the interest rate required is approximately 12.25%.

Answer:

Probability (sum of the numbers ≥ 10) = 1/6

Step-by-step explanation:

Given:

Number of Dice = 2

Total number on dice = 1, 2, 3, 4, 5, 6

Find:

Probability (sum of the numbers ≥ 10)

Computation:

Total number of probability = 6 × 6

Total number of probability = 36

Sum of number greater than or equal to 10 are:

(4,6), (5,5), (5,6), (6,6), (6,4), (6,5)

Total number of outcomes = 6

Probability (sum of the numbers ≥ 10) = Total number of outcomes / Total number of probability

Probability (sum of the numbers ≥ 10) = 6 / 36

Probability (sum of the numbers ≥ 10) = 1/6

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Matt would be correct because to find the volume you need to multiply the the sides

Step-by-step explanation:

Here matt should be correct.

Since Matt says that he can find the volume of the entire figure by multiplying 3 x 5 x 6. Cassie says she can find the volume by adding 30 + 24. So for determining the volume matt should be correct since we have to multiply the sides not the addition.

Therefore, we can conclude that Here matt should be correct.

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The pressure P as a function of time t can be modeled using the sine function. The maximum pressure is 5 millipascals. The wavelength, frequency, and speed of the sound wave can be calculated using formulas.

The sine model that gives the pressure P as a function of time t is:

P(t) = 5 millipascals * sin(2π * 1200 * t)

Maximum change in pressure: The maximum change in pressure is 5 millipascals.

Wavelength: The wavelength of the sound wave can be calculated using the formula: wavelength = speed / frequency. Since the speed of sound in air is approximately 343 meters per second, the wavelength is approximately 0.285 meters.

Frequency: The frequency of the sound wave is 1200 hertz (cycles per second).

Speed of the sound wave: The speed of the sound wave can be calculated using the formula: speed = wavelength * frequency. Using the values we have, the speed of the sound wave is approximately 343 meters per second.

Final answer:

The sine model that gives the pressure P as a function of time t for an audiometer producing a pure tone at 1200 Hz with a maximum pressure of 5 millipascals is P(t) = 5 · sin(2π · 1200t).

Explanation:

To write a sine model that gives the pressure P as a function of the time t for a sound wave produced by an audiometer, we can use the standard form of a sine function for a periodic wave:

P(t) = Pmax · sin(2πft + φ)

Since we are given that Pmax is 5 millipascals, the frequency f is 1200 hertz, and P=0 when t=0 (which implies that the initial phase shift φ is zero), we can plug these values into the sine model to get:

P(t) = 5 · sin(2π · 1200t)

Here, we converted the maximum pressure from millipascals to pascals, and since the sine of 0 is 0, we have a phase shift of 0 radians, simplifying the equation.

Answer:

28.25

Step-by-step explanation:

Answer:

6682.5cm

Step-by-step explanation:

29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5

Answer: 2,3

Step-by-step explanation: I literally just did it

Answer:

The volume of the cylinder is 25.12

Step-by-step explanation:

The width is the diameter in the circle of the base

radius = half of diameter

r = 2/2 = 1

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 8

π = 3.14

r = radius = 1

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (1)²) * 8

v = (3.14 * 1) * 8

v =3.14 * 8

v = 25.12

The volume of the cylinder is 25.12

Answer:

190  

Step-by-step explanation:

Answer:

it is 1/5

Step-by-step explanation:

the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.

Answer:

4

Step-by-step explanation:

8 divided by 2 = 4

Answer:

11n+11y

Step-by-step explanation:

CLT

7n+4n+7y+4y

11n+11y

Answer:

ML = 6

Step-by-step explanation:

If JM = 6, then ML = 6 because they are congruent.

Answer:

-70003

Step-by-step explanation:

-70000 - 3 = - 70003

Answer:

1/2 gallon

Step-by-step explanation:

Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.

[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]

The fraction of a gallon of juice left over is:

[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]

Therefore, there is 1/2 of gallon of juice left over.

Answer:

= 2/3 , 5/7 , 16/21

Step-by-step explanation:

LCM = 21

LCM ÷ denominator x numerator

2/3 , 5/7 , 16/21

= 14/21 , 15/21 , 16/21

= 2/3 , 5/7 , 16/21

The graph shows an inverse relationship between the price of graphic t-shirts and the quantity demanded. As the price decreases, the quantity demanded increases, and vice versa. The demand for graphic t-shirts is elastic, meaning changes in price have a significant impact on the quantity demanded.

The graph shows the relationship between the price of graphic t-shirts and the quantity demanded. In general, as the price of the t-shirts decreases, the quantity demanded increases, and vice versa. This is known as the law of demand, which states that there is an inverse relationship between price and quantity demanded.

For example, if the price of a graphic t-shirt is $20, the quantity demanded might be 100. But if the price decreases to $15, the quantity demanded might increase to 150.

By analyzing the demand curve shown in the graph, we can see that the demand for graphic t-shirts is elastic. This means that changes in price have a significant impact on the quantity demanded.

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Answer:

61 degrees

Step-by-step explanation:

a triangle measures 180 degrees

so your going to add 87 and 32 which gives us 119

since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees

Answer:

its 61 on edg

Step-by-step explanation:

i took the test and got a 93.2%

The total number of possible outcomes when choosing one marble from the bag is 14, accounting for all the different colored marbles present in the bag.

The question is about calculating the total number of possible outcomes when choosing a marble from a bag with a mixed assortment of marbles. The bag contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. To find the number of possible outcomes, you simply add the number of each color of marble in the bag.

So the total number of outcomes when choosing one marble from the bag is:

Therefore, there are 14 different outcomes when selecting a single marble from the bag.

Final answer:

To find the number of outcomes when choosing a marble from a bag, add the number of each color marble to get the total count. Each marble represents one outcome, so with 4 green, 3 blue, 2 red, and 5 yellow marbles, there are 14 possible outcomes in total.

Explanation:

The student is asking about the number of possible outcomes when choosing a marble from a bag containing specific numbers of differently colored marbles. The total number of marbles in the bag is the sum of the individual marbles of each color. Here's how you calculate the number of outcomes:

In problems involving probability, such as those provided for reference, it's important to consider whether the events are independent or not, and whether you're replacing the marble after drawing it. These details will affect the calculation of probabilities and the number of possible outcomes.