Does this table show a proportional relationship? If so, what is the constant of proportionality?

Answer:

800000 milligrams = 1.7621145374 pounds

Step-by-step explanation:

. Round your answer to the nearest hundredth. *Note: you must use these exact conversion factors to get this question right.

1 pound(Ib) = 16 ounces(oz)

1 kilogram (kg) = 1000 grams (g)

1 ton(ton) = 2000 pounds(lb)

1 ounce (oz) = 28.35 grams(g)

1 gram (g) = 1000 milligrams (mg)

1 pound (lb) = 0.454 kilograms (kg)

Using the conversion factors given in the question.

Convert 800000 milligrams into pounds

1000 milligrams = 1 gram

800000 milligrams = x

Cross Multiply

x = 800000/1000

x = 800 grams

1000 grams (g) = 1 kilogram (kg)

800 grams (g) = x

Cross Multiply

1000grams × x = 800grams(g) × 1 kilogram (kg)

x = 800 grams × 1 kg/1000 grams

x = 0.8 kg

0.454 kilograms (kg) = 1 pound (lb)

0.8kg = x pound

0.454 kg × x = 0.8kg × 1 pound(Ib)

x = 0.8kg × 1 pound/0.454 kg

x= 1.7621145374 pounds

Therefore, 800000 milligrams = 1.7621145374 pounds

Answer:

16x16

Step-by-step explanation:

yesiiir

Answer: 1. V≈603.19

2. V≈103.67

3. V≈513.13

Step-by-step explanation: i only know those sorry :(

the area of Matthew's rectangle is 60 square units.

What is a rectangle?

Rectangles are quadrilaterals in the Euclidean plane of geometry that have four right angles. A closed, four-sided rectangle is a two-dimensional shape, according to a number of definitions, as is an equiangular quadrilateral. All of a rectangle's angles are exactly 90 degrees, and its opposite sides are equal and parallel to one another. Rectangle area is equal to A = a*b.

let's say Melodie's rectangle has a length of 7 grid squares and a width of 4 grid squares. To find the area, you would multiply 7 by 4 to get 28 square grid units. Therefore, the area of Melodie's rectangle is 28 square units.

Similarly, let's say Matthew's rectangle has a length of 10 grid squares and a width of 6 grid squares. To find the area, you would multiply 10 by 6 to get 60 square grid units.

Therefore, the area of Matthew's rectangle is 60 square units.

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To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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Answer:

P = ( 4x² - 3x + 53 ) units

Step-by-step explanation:

Answer:

The one on the bottom left

Step-by-step explanation:

Have a wonderful Day

Step-by-step explanation:

Every imaginary number contains two part. which is recalled as:

\(a + bi\)

in which a is a real number and b is known as the imaginary number.

so –7===> Real number

4===> imaginary part

Answer:

$1,050

Step-by-step explanation:

Simply multiply the cost per kid ticket and number of kids:

$5.25 x 200 = $1,050

Answer:

Circle A: 265.9 cm²

Circle B: 2002.96 inches²

Step-by-step explanation:

Hi there!

Circle A

\(A=\pi r^2\) where r is the radius of the circle

Plug in the radius 9.2 cm

\(A=\pi (9.2)^2\\A=84.64\pi \\A=265.90\)

Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.

Circle B

\(A=\pi (\frac{d}{2}) ^2\) where d is the diameter of the circle (because radius=diameter/2)

Plug in the diameter 50.5 inches

\(A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96\)

Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.

I hope this helps!

Answer:

$1020

Step-by-step explanation:

660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.

When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.

We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.

The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.

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Answer:

ummm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

a.       Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

The equation is y = -3/2x + 30

b.      Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

c.       What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.

For every survey, there are only two possible outcomes.

First- they have bank savings accounts,

second- they do not.

So, by using the binomial probability distribution we can solve this problem.

Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.

Probability = p

Successes repeated = n  times

The  value of the binomial distribution is:

E(Y) = n x p

In this problem, we have that:

p = 0.64

If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,

E(Y) when, n = 50

So,

E(Y)= n x p

= 50 x 0.64

= 32

Hence ,our required answer is 32 adults who would have bank savings accounts

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Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

Answer: 0

Step-by-step explanation:Let's simplify step-by-step.

4a+4b+4c−4a−4b−4c

=4a+4b+4c+−4a+−4b+−4c

Combine Like Terms:

=4a+4b+4c+−4a+−4b+−4c

=(4a+−4a)+(4b+−4b)+(4c+−4c)

Answer:

=0

Answer:

hi

Step-by-step explanation:

i think 0

because

\(4a + ( - 4a) = 0\)

\(4b + ( - 4b) = 0\)

\(4c + ( - 4c) = 0\)

have a nice day

Answer:

The thousandths place.

Step-by-step explanation:

4 is furthest away from the decimal on the right side and it is in the thousandths place.

Answer:

\(350.175 \div 7 \\ 50.025km\)

The second balloon will take longer to land compared to the first balloon, even though they have the same descent rate.

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

Both balloons have the same descent rate of -20 meters per second (m/s) because they have the same slope (-20) in their equations.

However, the second balloon has a higher starting height (y-intercept) of 1200 meters, compared to the first balloon's starting height of 800 meters.

To find the landing time, we can set y=0 in each equation and solve for x:

For the first balloon:

0 = -20x + 800

20x = 800

x = 40 seconds

So the first balloon will land after 40 seconds.

For the second balloon:

0 = -20x + 1200

20x = 1200

x = 60 seconds

So the second balloon will land after 60 seconds.

When the y-intercepts are compared, we have

1200 is greater than 800 by 400

Graphically, this can be seen as the second balloon's descent line being shifted up by 400 meters (the difference in starting heights) compared to the first balloon's descent line.

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Answer:

13.86

Step-by-step explanation:

In ∆ ABC ,

Answer:

(x+7)(x-7)

Mark my answer as Brainlist.

To test the difference between the population means, the test statistics we use is t-test.

According to the question we have been given that,

There are two independent samples of sizes 20 and 25.

The population is normally distributed and have equal variances.

We have to test the difference between the population means. For that the test statistics we will use is t- test.

t - test is used when we have to compare the means of two groups and how they are related. Also the sample size should be less than 30 (<30)

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a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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Given that the marginal cost function of a manufacturer is dq/dc = 0.6q + 2. We need to find the cost involved to increase production from 55 to 65 units.

To find the cost involved, we need to integrate the marginal cost function w.r.t q which gives us the total cost function \(C(q).dq/dC = 1/C'(q)By integrating dq/dc = 0.6q + 2 w.r.t q, we get C(q) = 0.3q^2 + 2q + C\)where C is the constant of integration. We need to find the cost involved to increase production from 55 to 65 units\(.Cost involved = C(65) - C(55)C(65) = 0.3(65)^2 + 2(65) + C = 1324.5 + C.C(55) = 0.3(55)^2 + 2(55) + C = 989.5 + C . Cost involved = C(65) - C(55) = (1324.5 + C) - (989.5 + C) = 335\)dollars Therefore, the cost involved to increase production from 55 to 65 units is 335 dollars.

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