The table shows the weights of apples at a grocery store. Complete the table so that there is a proportional relationship between the number of apples and their weight. Number of apples weight in kilograms 2 1 8 2 12 What is the constant of proportionality? 1/2​

Answer:

1/4

Step-by-step explanation:

We know :-

Substitute ,

the system to be critically damped, the value of the damping coefficient γ should be approximately 17.35 lb⋅s/ft.

For a critically damped system, the damping coefficient γ is equal to the square root of 4 times the mass (m) multiplied by the spring constant (k). Mathematically, it can be expressed as:

γ = 2 × √(m × k)

First, we need to convert the mass from pounds to slugs, since the unit of mass in the equation is slugs. Since 1 slug = 32.2 lb⋅s^2/ft, the mass in slugs can be calculated as:

m = 48 lb / (32.2 lb⋅s^2/ft) ≈ 1.49 slugs

Next, we calculate the spring constant (k). The force exerted by the spring (F) is equal to the product of the spring constant and the displacement (x). In this case, the displacement is 6.0 in = 0.5 ft, and the force is the weight of the mass, which is 48 lb. Therefore, we have:

F = k × x

48 lb = k × 0.5 ft

k = 48 lb / 0.5 ft = 96 lb/ft

Now, we can calculate the damping coefficient γ:

γ = 2 × √(m × k) = 2 × √(1.49 slugs × 96 lb/ft) ≈ 17.35 lb⋅s/ft

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Answer:

32

Step-by-step explanation:

0.5x = 16, solve for x by dividing both sides by 0.5

\(\frac{0.5x}{0.5} =\frac{16}{0.5}\)

0.5x divided by 0.5 is x, while 16 divided by 0.5 is 32, therefore; x is equal to 32

a. There are 2 cycles in the graph.
b. The period of the graph is 360 degrees.
c. The amplitude of the graph is 2.


a. To determine the number of cycles in the graph, we need to count the number of complete repetitions of the pattern. In this case, there are 2 complete repetitions, so there are 2 cycles.

b. The period of a sine graph is the distance it takes to complete one full cycle. In this graph, one full cycle is completed in 360 degrees, so the period is 360 degrees.

c. The amplitude of a sine graph is the distance from the midline to the maximum or minimum point of the graph. In this case, the amplitude is 2 units. y = 2 sin θ.

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Answer:

Step-by-step explanation:

30 students 15 have brown eyes 5 of the 15 are boys

1/3 chance a boy with brown eyes will be chosen.

1/2 a chance a student with brown eyes will be chosen

Answer and Step-by-step explanation:

To solve for x, we would use the Sine trig function.

\(sin(theta) = \frac{opposite"side}{hypotenuse}\)

Plug in the values.

\(sin(29) = \frac{x}{8}\) is the answer.

#teamtrees #PAW (Plant And Water)

if 15 x 1.8 = 27 then

45 x 1.8 = 81

so answer: B) 81

Answer:

Pfffft only one. I went to California

Step-by-step explanation:

Answer:

i am an alpha male so i have visited all of the states i know i know calm down ladies you all dont need to see me at one. (for legal reasons this is a joke)

Step-by-step explanation:

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\)

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

\(x^2+y^2+16x-14y+49=0\)

\(\implies x^2+16x+y^2-14y+49=0\)

\(\implies (x+8)^2-64+(y-7)^2-49+49=0\)

\(\implies (x+8)^2+(y-7)^2=64\)

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

There appears to be a positive correlation between shoe size and grade point average in Professor Walker's class, suggesting that students with larger shoe sizes tend to have higher GPAs.

The observation made by Professor Walker suggests a relationship between shoe size and grade point average. A positive correlation means that as one variable (shoe size) increases, the other variable (GPA) also tends to increase. In this case, the observation indicates that students with larger shoe sizes tend to have higher GPAs. However, it is important to note that correlation does not imply causation.

It is possible that the observed relationship is coincidental or influenced by other factors. Factors such as age, gender, or socioeconomic status could be associated with both shoe size and academic performance, leading to a spurious correlation. To establish a definitive causal relationship, further research and analysis would be required to account for confounding variables and determine the underlying mechanisms, if any, between shoe size and GPA.

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Answer:

22.80

Step-by-step explanation:

100% - 30% = 70% that you'll be paying

70% = \(\frac{70}{100}\)  = 0.7

0.7 * 32.50 = 22.75

Round to nearest cent: 22.8

Answer:

100 metere is 1 km

Thanks for the question

Tallulah needs to invest $872.21.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, A= $1060, r= 3.9%, t=5yr , n=365days

Let, P= x

Now, $1060 =x(1+3.9/100×365)^(365×5)

        $1060=x×1.2153

i.e. x= $872.21

Hence, He needs to invest $872.21 .

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Answer:

64

Step-by-step explanation:

Answer: 4 sets of 2 positive tiles.

Step-by-step explanation:

We have the product of 4 and 2.

We can represent this as:

4 is equivalent to 4 positive tiles.

if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.

Another example is using 2 positive tiles to represent the 2.

So when we multiply it by 4, we end with 4 sets of 2 positive tiles.

This is because the order of the factors does not change the product.

Then, from the given options, the correct one is:

4 sets of 2 positive tiles.

Answer:

C on edge 2021

Explanation:

4 groups of 2

[+] [+]    [+] [+]    [+] [+]    [+] [+]    

Answer: area=8cm

Step-by-step explanation:

Answer:

a) Area of shape = 8 square cm.

Step-by-step explanation:

Area of composite shape:

      Area of shape = area of rectangle + 2* area of triangle

         l = 3 cm ; w = 2 cm

\(\sf \boxed{\text{Area of rectangle = l *w}}\)

                             = 3 * 2

                             = 6 cm²

Triangle:

     b = 2 cm

     h = 1 cm

\(\sf \boxed{\text{Area of triangle=$\dfrac{1}{2}*b*h$}}\)

                         \(\sf = \dfrac{1}{2}*2*1\\\\\\ = 1 \ cm^2\)

Area of two triangles = 2 *1

                                    = 2 cm²

Area of shape = 6 + 2

                        = 8 cm²

b) Area of rectangle ABCD = 4 * 2

                                             = 8 cm²

Answer:

Yes it is congruent

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

9/x-7 = 10/x-7

9x-63 = 10x-70

70-63=10x-9x

x= 7

The trainer is using the technique of shaping to train the lion to jump through a hoop. Shaping is a method of operant conditioning where desired behaviors are gradually achieved by reinforcing successive approximations of the target behavior.

The trainer is using shaping to train the lion. Shaping involves rewarding small steps or behaviors that are closer and closer to the desired behavior, gradually shaping the lion's behavior towards the ultimate goal of jumping through the hoop. The trainer starts by reinforcing simpler behaviors, such as walking near the hoop, and then progressively rewards more complex behaviors, like walking through the hoop, until the lion successfully jumps through the hoop.

Shaping is a technique derived from operant conditioning, a type of learning where behaviors are strengthened or weakened by the consequences they produce. By using positive reinforcement, in the form of rewards, the trainer motivates the lion to continue exhibiting behaviors that lead to the desired outcome. Through shaping, the lion learns to associate the hoop with positive reinforcement and is gradually shaped to perform the complex behavior of jumping through the hoop.

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Answer:

81.05/20 is the better deal and the unit rate is $4.05

Step-by-step explanation:

hopefully this helps :)

Answer:

the second deal is better. the unit rate is 4.05/gal

Step-by-step explanation:

106/25=4.24

81/20=4.05

Answer:

Hello! Sorry about your luck before although im 99% sure my answer is correct.

Answer: area is 180

Step-by-step explanation:

Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...

7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!

Answer:x-25=y

Step-by-step explanation:

u just subtract and put it into equation form

Answer:

false lol i thinkkk

Step-by-step explanation:

Answer:

the answer is no

Step-by-step explanation:

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer: 12

Step-by-step explanation:

The answer to this question would be...

1/3n - 3 < 6; n < 27