Pump B alone fills a tank in 9 hours. Pump C takes 15 hours to fill the same tank alone. If pumps A, B and C are used, the tank fills in 5 hours. How long does it take pump A to fill the the tank alone?

Answer:

[tex]F=6.83\times 10^{-10}\ N[/tex]

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]

So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].

Answer: 72 feet

Step-by-step explanation:

24 yards= 72 feet

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:

a-6b-6c-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

ummm yes 19293

Step-by-step explanation:

Answer: C) 4

Step-by-step explanation:

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

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Answer:

106

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

(14 x 7) + 8 = 106

The equation of the line is y = 9x. The correct answer is C.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

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Answer:

Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles

Answer:

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Step-by-step explanation:

Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium

The type of data that could be collected from the fans to be used in multiple regression model:

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

How can the data be collected

how to apply the data

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Answer:

she will not have enough money

she will have 23 more to save

Step-by-step explanation:

got it right on plato

Answer:

If the bike costs $150, Carla will

not have

enough money to buy the bike before the start of summer.

Carla will have

$23

more to save

.

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

11x6=66x3=198

Hope this helps! :)

Answer:

acute.... ....... .. . ......

Answer:

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

Answer:

560

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is already solved, and this would not be considered a inequality since it has only a equal sign.

Answer:

8 helpd

Step-by-step explanation:

i know it iv had probability b4

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

[tex]la=5ah[/tex]

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Answer:

Just click an x on the graph for each number in the chart.

1/4 would have 4 x's

2/4 would have 2 x's

3/4 would have 1 x

1 would have 2 x's

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

Answer:

For samples of size n=200, the standard error is of 0.033.

For samples of size n=300, the standard error is of 0.027.

For samples of size n=400, the standard error is of 0.024.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The percentage of married couples who own a single family home is 33% for a given population.

This means that [tex]p = 0.33[/tex]

Samples of 200:

[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]

For samples of size n=200, the standard error is of 0.033.

Samples of 300:

[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]

For samples of size n=300, the standard error is of 0.027.

Samples of 400:

[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]

For samples of size n=400, the standard error is of 0.024.

Answer: 27

Step-by-step explanation: hope this help

Answer:

20

Step-by-step explanation:

2(5)+10=20

[tex]\huge \colorbox{pink}{Mathematics}[/tex]

2x + 10 when x = 5

[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]

Correct me if I'm wrong

I hope it helps ^_^

Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation: