-5, 3, -2, 1, -1, 0, _, _

what are the next two terms?

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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Answer:

she should preform division

Step-by-step explanation:

Answer:

Actually, it's C multiplication Cutty you can't be giving Wrong answers.

Step-by-step explanation:

It's C Multiplication because Were using the PEMDAS technique and this stands for

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

So if you see in the Pemdas technique It will be C Multiplication.

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

Answer:

240

Step-by-step explanation:

12x20=240

Answer:

1. Forty-two less than a number z

2. The product of eleven and a number k

3. A number t increased by seventy

4. The quotient of forty-three and a number m

5. Sixty-four added to a number w

6. One-hundred decreased by a number j

7. The sum of a number g and nine

8. Seventeen fewer than a number h

9. One-fourth of a number v

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22.

Step-by-step explanation:

I will just write out the first five terms for both patterns so it is easier to see.

Pattern A:   2, 7, 12, 17, 22

Pattern B:   2, 5, 9, 12, 15

C and D are both false. B is also false because it adds 4 from 5 to 9 instead of 3. "A" is the correct answer since it matches the correct terms.

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22

Step-by-step explanation:

Pattern A

Start at 2 and follow the rule "add 5"

\(\sf 2 \underset{+5}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+5}{\longrightarrow} 17 \underset{+5}{\longrightarrow} 22\)

So the first five terms in Pattern A are 2, 7, 12, 17, 22

Pattern B

Start at 2 and follow the rule "add 3"

\(\sf 2 \underset{+3}{\longrightarrow} 5 \underset{+3}{\longrightarrow} 8 \underset{+3}{\longrightarrow} 11 \underset{+3}{\longrightarrow} 14\)

So the first five terms in Pattern B are 2, 5, 8, 11, 14

True Statement

Therefore, the statement that is true is:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22

The probability that you will make at least $1300 is 2/39 or 0.0513.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.

27C2 = 351

Also, count how many ways you could make at least $1300.

# ways = 2 of $1000 each or 1 of $1000 and 1 of $500

# ways = (3C2) + (3 x 5)

# ways = 3 + 15

# ways = 18

Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.

probability = desired outcome / total outcomes

probability = 18 / 351

probability = 2/39 or 0.0513

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Answer:

500 x 81% = 405

Step-by-step explanation:

The work done by the force F of 30 pounds in moving the object 3 feet from the origin (0,0) to a point in the first quadrant along the line y=(1/2)x is 90 pound-feet.

To calculate the work done by a force, we use the formula

W = F · d · cos(θ),

where W is the work done, F is the magnitude of the force, d is the displacement vector, and θ is the angle between the force and displacement vectors.

In this case, the magnitude of the force is given as 30 pounds, and the displacement vector can be determined by finding the position vector from (0,0) to the point on the line y=(1/2)x in the first quadrant. Let's call this point (x, y).

Since y = (1/2)x, we can substitute y in terms of x to get the displacement vector d = ⟨x, (1/2)x⟩.

The magnitude of the displacement vector d is given by the distance formula: ||d|| = \(\sqrt{(x^2 + (1/2)x^2)} = \sqrt{(5/4)x^2} = (1/2)\sqrt{5x\).

Now, we can calculate the angle θ between the force vector ⟨2, 2⟩ and the displacement vector d. Using the dot product formula, we have

F · d = 30 · (2x + x) = 90x.

To find x, we need to determine the intersection point of the line y=(1/2)x and the circle with radius 3 centered at the origin. Substituting y=(1/2)x into the equation of the circle, we get \(x^2 + (1/2)x^2 = 3^2\). Solving this equation gives x = 2.

Substituting x = 2 into F · d, we have 90x = 90(2) = 180.

Therefore, the work done by the force F of 30 pounds in moving the object 3 feet from (0,0) to the point (2,1) in the first quadrant along the line y=(1/2)x is 180 pound-feet.

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This integral can be approximated numerically, or it can be simplified using trigonometric substitution. The final surface area will depend on the value of p and can be expressed in terms of p.

To find the surface area of the part of the cone z = p x2 y2 that lies between the plane y = x and the parabolic cylinder y = x2, we need to first determine the bounds of integration. Since the plane y = x intersects the parabolic cylinder y = x2 at x = 0 and x = 1, we can integrate over these bounds.
The surface area of a cone is given by the formula A = πrℓ + πr^2, where r is the radius of the base and ℓ is the slant height. In this case, the base of the cone is given by the parabolic cylinder y = x2, so the radius of the base is r = x2. The slant height ℓ can be found using the Pythagorean theorem:
ℓ^2 = x^2 + y^2 + (p x^2 y^2)^2
We can simplify this expression by substituting y = x:
ℓ^2 = 2x^2 + (p x^4)^2
Integrating over the bounds x = 0 to x = 1, we get:
A = ∫0^1 2πx2√(1 + (p x^4)^2) dx
This integral can be approximated numerically, or it can be simplified using trigonometric substitution. The final surface area will depend on the value of p and can be expressed in terms of p.

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It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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Answer:

-7

Step-by-step explanation:

Answer:

The correct answer is -7.

Step-by-step explanation:

(5,-6) and (2,15)

15-(-6) divided by 2-5

After doing that you'll get 21 over negative 3

You then divide 21 by -3, and you get -7.

Answer: B

Step-by-step explanation:

Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.

Answer:

Step-by-step explanation:

kaja

Starting with the equation:

25,000 = 10,000(1.05)^2x

We can divide both sides by 10,000 to simplify:

2.5 = (1.05)^2x

Next, we can take the natural logarithm of both sides:

ln(2.5) = ln[(1.05)^2x]

Using the rule that ln(a^b) = b*ln(a), we can rewrite the right side as:

ln(2.5) = 2x*ln(1.05)

Now we can solve for x by dividing both sides by 2ln(1.05):

x = ln(2.5) / (2 ln(1.05))

Using a calculator, this simplifies to:

x ≈ 6.642

Therefore, the solution to the equation is x ≈ 6.642, correct to 3 decimal places.

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Answer:

yes it can be done.

Answer:

x=3 y=11

Step-by-step explanation:

2x+3=9

2x=6

x=3

y-4=7

y=11

To arrive at the same location, the person would have to walk 25 km due north and 6.2 km due west.

This can be calculated using the Pythagorean theorem: c² = a² + b², where c is the total distance and a and b are the distance traveled due north and due west, respectively.
In this case, c = 11.2 km and a = 35 km. Therefore, a² + b² = 11.2² and b = √(11.2² - 35²) = 6.2 km.
Therefore, the person must travel 25 km due north and 6.2 km due west to arrive at the same location.

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Answer:

80 degree angle is the right answer

Answer:

AB=15  BD=18

Step-by-step explanation:

AB is 15 because AB=AC and AC is 15

BD:

Using the Pythagorean Theorem

10²+15²=√325

√325=18

10 is from AB-CD

15 is the height which is AC

Answer:

BD = 5, and AB = 15 :)

The interval for which the average rate of change of f(x) is negative is; from x = 0 to x = 2.5.

For the average rate of change of f(x) to be negative, it means that the change in y and the change in x must have opposite signs.

For example, if the change in y is negative, them the change in x must be positive.

Similarly, if the change in y is positive, then change in x must be negative.

Now, the graph showing this quadratic function is missing and so i have attached it.

From the graph, the only interval at which the rate of change for y and x have opposite signs is from x = 0 to x = 2.5.

In this interval, we see that x is increasing from 0 to 2.5 which is positive change while y is decreasing from 1 to -3 which is negative change.

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Answer:

The answer is B

Step-by-step explanation:

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

Answer:

scalene acute triangle

Step-by-step explanation:

By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.

Answer & Step-by-step explanation:

8 is 2×2×2.

Doubling a number is the same as multiplying ×2.

So maybe you could take the 9 and double it, 18.

Double it again, 36.

Double it again, 72.

Or anyway that you can "take apart" 8 and 9 in smaller numbers and rearrange, because you can multiply in any order.

For example, if you don't know your 8 or 9 times tables, but you know your 3 and 4 and 6 times tables:

8 is 4×2 and

9 is 3×3.

8×9 is the same as 2×3 and 4×3

6×12

which is 72.

Hope this helps.

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

Answer:

The answer is D

Step-by-step explanation:

50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$

The vertex form of the quadratic equation is f(x) = -3(x - 2)² + 5. The coordinates of the vertex are (2, 5).

We are given a quadratic function. The equation of the quadratic function is f(x) = -3x² + 12x - 7. We need to convert the equation to vertex form. We can convert a quadratic equation to its standard vertex form by "completing the square" method. The calculations are done below.

f(x) = -3x² + 12x - 7

f(x) = -3(x² - 4x) - 7

f(x) = -3(x² - 4x + 2² - 2²) - 7

f(x) = -3(x² - 4x + 2²) - 7 + 3*2²

f(x) = -3(x - 2)² - 7 + 12

f(x) = -3(x - 2)² + 5

The coordinates of the vertex are (2, 5).

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Answer:

x=12

Step-by-step explanation:

You have to do 60/5 which is 12
so x=12

Answer:

x=12

Step-by-step explanation:

5x=60

divide both sides by 5

x=12

answer: x=12