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2 years ago

Please help me with this please

Mathematics

1 answer:

eimsori [14]2 years ago

6 0

Part (a)

Using the quotient rule, the blank is 11/5.

Part (b)

Using the product rule, the blank is 9.

Part (c)

Using the power rule, the blank is 5.

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The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, co

zaharov [31]

Answer:

The mean number of the children is 1.2

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

$Mean = \frac{\sum x}{n}$

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

$Mean = \frac{0 + 1 + 2 + 1 + 2}{5}$

$Mean = \frac{6}{5}$

$Mean = 1.2$

Hence, the mean number of the children is 1.2

3 0

3 years ago

Can someone help me with this. Will mark brainliest.

Katena32 [7]

The answer to this question is false

6 0

3 years ago

f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is lab

Lady_Fox [76]

The values of a and b are 4 and -3

<h3>How to solve for (a) and (b)?</h3>

To solve for a, we make use of the function f(x).

x f(x)

2 4

0 5

2 a

3 7

Remove the x values 0 and 3

x f(x)

2 4

2 a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x g(x)

2 b

0 0

2 -3

3 -4

Remove the x values 0 and 3

x g(x)

2 b

2 -3

The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

Read more about functions at:

brainly.com/question/13153717

#SPJ1

Complete question

Use the Symmetry of a Function to Find Coordinates

f is an even function g is an odd function

x f(x) x g(x)

2 4 2 b

0 5 0 0

2 a 2 -3

3 7 3 -4

Find a and b

4 0

2 years ago

Consider the equation 1+n+6/n+1=4/n-2

Inga [223]

A. The LCD is (n+1)(n-2)

B. n = -1, n = 2

C. n = negative 1 plus or minus the square root of 73, everything divided 2.

I’ve add a picture of the answers at the bottom in case I wasn’t clear on question C.

Hope that helps.

8 0

4 years ago

Read 2 more answers

A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the

Mashcka [7]

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

$\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1$

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

$\displaystyle y - y_1 = m( x - x_1)$

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

$\displaystyle y - (4.8) = 0.1(x - 10)$

Simplify:

$\displaystyle y = 0.1(x-10) + 4.8$

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

The initial volume is when t = 0. Evaluate:

$\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8$

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

$60 = 0.1(t - 10) + 4.8$

Subtract:

$55.2 = 0.1(t - 10)$

Divide:

$552 = t - 10$

Add. Therefore:

$t = 562\text{ minutes}$

It will take 562 minutes for the tank to be completely filled.

8 0

3 years ago