Probability knowledge check (this is math not chemistry I am looking at the tab correctly)

Solution

We have the following integral:

We can use the substitution u= 4 +3x² and we have du= 6x dx, then we have this:

In this case the answer is very simple .

Step 01:

Data:

eq1. (3x - 8)²

eq2. -7x⁴(3x-2)

Step 02:

Sum.

eq.1 + eq.2

(3x - 8)² + (-7x⁴(3x-2))

(9x² - 2*3x*8 - 64) + (-21x⁴ - 14x⁴)

9x² -

Okay let's analyze each triangle

In triangles A, B, and D the angle

Hello

We are given a log funtion to solve and see if it have a solution.

Step 1

we apply log rules

Step 2

Solve for x

From the calculation above, the solution of the set is 13; i.e x = 13

The Hooke's law is given by:

F = k*x

Where:

F = force

k = constant factor

x = distance

If F = 20 and x = 20

20 = k*20

Solving for k:

20/20 = k

k = 1

So: how far will a 29 pound mass stretch the spring?

29 = 1* x

Solving for x:

29/1 = x

x = 29 in

The number divisible by 5 is 670.

Numbers divisible by 5 have their last digits as 0 or 5

Answer : 670

The domain of the given function corresponds to:

And the range of the function is:

The average rate of change of f over the interval [0,6] is:

f(7) gives 5 1/2.

the position is the 7th term

Explanation:

f(1)= 8 1/2

f(n)= f(n-1) - 1/2

we are looking for the function that gives 5 1/2

We have been given f(1), this means n = 1

f(1) = f(1-1) - 1/2

8 1/2 = f(0) - 1/2

f(0) = 8 1/2 + 1/2

f(0) = 8 + 1 = 9

when n = 2

f(2) = f(2-1) - 1/2

f(2) = f(1) - 1/2

f(2) = 8 1/2 - 1/2

f(2) = 8

when n = 3

f(3) = f(3-1) - 1/2

f(3) = f(2) - 1/2

f(3) = 8 - 1/2

f(3) = 7 1/2

when x = 4

f(4) = f(4-1) - 1/2

f(4) = f(3) - 1/2

f(4) = 7 1/2 - 1/2

f(4) = 7

when n = 5

f(5) = f(5-1) - 1/2

f(5) = f(4) - 1/2

f(5) = 7 - 1/2

f(5) = 6 1/2

f(6) = f(6-1) - 1/2

f(6) = f(5) - 1/2

f(6) = 6 1/2 - 1/2 = 6

when n = 7

f(7) = f(7-1) - 1/2

f(7) = f(6) - 1/2

f(7) = 6 -1/2 = 5 1/2

f(7) gives 5 1/2.

Hence, the position is the 7th term

First, the pool was filled to 3/4 of its capacity, which is equal to:

Then, 1/9 of the water evaporated remaining 8/9 of the 18000 gal:

Therefore, to fill the pool we need to add:

gallons of water.

Answer: B. 8000.

He sold 28 watermelons on Friday.

The number of watermelons sold during the entire week is of 60, hence we find the daily amounts and add them, and this has to reach 60. The daily amounts are given as follows:

Hence the following equation is built, and we can solve for the unknown variable x as follows:

x + 2x + 0.5x + 18 + 6x + 4 = 60.

9.5x = 38

x = 38/9.5

x = 4

Then the amount sold on Friday is calculated as follows:

Friday = 6x + 4 = 6(4) + 4 = 24 + 4 = 28 watermelons.

More can be learned about equations at https://brainly.com/question/24808124

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He sold 28 watermelons on Friday

The total number of watermelons sold for the whole summer week is 60

He sold x watermelons on Monday

On Tuesday, he sold twice the numbers sold on Monday: 2x

On Wednesday, he sold half the numbers sold on Monday: x/2

On Thursday, he sold 18

On Friday, he sold:

= 2(x+2x) + 4 = 2(3x) + 4 = 6x + 4

And we know that the total number of watermelons is 60. Therefore:

x + 2x + x/2 + 18  + 6x+4 = 60

9.5x + 22 = 60

9.5x = 60 - 22

9.5x = 38

x = 4

since the amount sold on Friday is  6x+4:

= 6 x 4 +  4

= 24 + 4 = 28

Therefore, he sold 28 watermelons on Friday

Learn more about word problems on:

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Could you please send a picture of the inequality you are asked to solve?

I'll be closing the session now if you cannot do it. Please ask your question again, and send the image in the question itself to avoid this problem of your uploaded images and messages not getting to me.

Thank you, and please re-submit your question request.

The triangle ΔDEF has the following coordinates

To find the area of a triangle in coordinate geometry, we have a formula. Given 3 vertices A(x1, y1), B(x2,y2) and C(x3,y3), the area of this triangle is given by

Using this formula for our problem, we have

Solving this equation, we have

And this is our answer Area(ΔDEF) = 40.5

Let's say x is going to be the number meters of the width of the room:

x: width

Since its lenght is 1.8 as it is width, then it will be 1.8 · x long:

1.8x: lenght

We know that the perimeter of a rectangle is given by

Perimeter = 2· (width + lenght)

We know that the perimeter is 29 meters, then

Perimeter = 29

↓

29 = 2· (width + lenght)

We do know an expression for its width and lenght, we replace them:

29 = 2· (width + lenght)

↓

29 = 2· (x + 1.8x)

Since x + 1.8x = 2.8x:

29 = 2· (x + 1.8x)

↓

29 = 2· (2.8x)

↓ 2· 2.8 = 5.6

29 = 5.6x

↓ dividing both sides by 5.6

29/5.6 = 5.6x/5.6

5.2 = x

Since

x: width

then

Width = 5.2 meters

Since

1.8x: lenght

then

Lenght = 1.8 · 5.2 meters = 9.36 meters

In this case,

This difference is made this way:

-2 - (-6) =

-2 +6 = 4

So there we have this identity. The minus before the parentheses turns the minus into plus sign.

The two pairs of angles are supplementary

Here, we want to complete the given sentence

We want to find the relationship between two parallel lines which are cut by a transversal

A figure showing the described relationship is given below;

Now, we want to find the relationship between the two marked angles

From what we have, the two marked angles are supplementary

What this mean is that both angles add up to 180 degrees

The total of students that study for 3 to 4 h is 147

The total of students that study for 5 to 6 h is 107

Then, the statement: "more students study for 3 to 4 hours than for 5 to 6 hours" is true because 147 students study for 3 to 4 hours and 107 students study for 5 to 6 hours.

Since the probability of Cheetah is 0.4

Since the probability of Tiger is 0.7

Since the probability of Cheetah or Tiger or both is 0.5

Let us draw a figure to show this information

Then we need to find both animals (x)

Since

Add x to both sides and subtract 0.5 from both sides

Divide both sides by 2 to find x

a) The probability of both animals is 0.3

Since the total of probability is 1, then to find the neither subtract (0.4 + 0.7 - 0.3) from 1

b) the probability of neither is 0.2

Events A and B are independent if the equation P(A∩B) = P(A) · P(B)

Since

Since P(Ch) . P(T) = 0.4 x 0.7 = 0.28

Then

c) The events are not independent

B) 4 less than a number.

The equation of the velocity is given by the exponential:

Let us say that the sky driver's velocity will be 47 m/s at t₁. Then, using the expression above:

Solving for t₁:

you have the following equation:

3x - 2 = 2(x+1)

You have to specify the property used in each step to get the solution of the previous equation. You obtain the following:

1. 3x - 2 = 2(x + 1) given

2. 3x - 2 = 2x + 2 distribution prop

3. 3x - 2x - 2 = 2x - 2x + 2 subtraction 2x both sides - subtraction prop

x - 2 = 2

4. x - 2 + 2 = 2 + 2 summation 2 both sides - addition prop

x = 4

To find the solution to the system of equation

we will use the elimination method

3x - y = - 5 ----------------------------(1)

2x + 3y = 4 -------------------------------(2)

We will eliminate y and solve for x

multiply equation (1) through by 3

9x - 3y = - 15 ------------------------------------(3)

add equation (2) and equation (3)

11x = -11

divide both-side of the equation by 11

x = -1

substitute x = -1 in equation (1) and solve for y

3x - y = - 5

3(-1) - y = -5

-3 - y = -5

add 3 to both-side of the equation

- y = -5 +3

-y = -2

multiply through byb -1

y = 2

Hence, the correct option is B

Let the event that her internet will be broken be A

The event that her internet will not be broken be B

Therefore:

Thus, the probability that her internet is not broken for 7 days in a row:

Substitute the value:

Round to four decimal places is 0.0016

Answer: 0.0016

Explanation

We are required to determine the value of the following:

This is achieved thus:

We know that the combination formula is given as:

Therefore, we have:

Hence, the answer is:

We have the following:

solving:

Answer:

[tex](y+6)=\frac{2}{8} (x+2)[/tex]

Step-by-step explanation:

First, find the slope

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

-4+6=2

6+2=8

m=2/8

With the slop, you have everything you need to stick one of your points in point-slope form.  I chose (-2,-6)

[tex](y-y1)=m(x-x1)\\(y+6)=\frac{2}{8} (x+2)[/tex]

Really, that's all you need as it is not an equation of a line.  Not the most useful form, but works as an answer.

Answer:

180 miles

Step-by-step explanation:

distance = rate x time

t = time

1st car:

distance = 40t

2nd car:

distance = 60(t - 1,5)

When the car catch up to each other the distances will be the same, so set the equation equal to each other.  Calculate the time and then put the time back into either equation and solve for the distance.

40t = 60(t-1.5)  Distribute the 60

40t = 60t -(60)1.5

40t = 60t - 90  Subtract 60t from both sides of the equation

-20t = -90  Divide both sides by -20

t = 4.5

Now that we know the time, substitue that back into either equaiton and solve for the time

distance = 40 (4.5)

180 miles

Answer:

14.73%

Step-by-step explanation:

firstly let's divide the phone price into 7 equal parts. by this equation 219.00/7=31.28

So Alec needs to save $31.28 but we want the percentage.

by equation x%*212.34=31.28

x=(31.28*100)/212.34=3128/212.34=14.73

so Alec needs to save 14.73% of 212.34 each week.

Let's do the mutiplications:

(3a)(5a) = 15a²

(5p)(2p) = 10p²

(3 inches)(5 inches) = 15 inches²

(5 feet)(2 feet) = 10 feet²mutiplic

1) When we need to round up or down to the nearest tenth, it's necessary to consider the hundredth's place.

2) Note this number:

We can see that 13.496 is greater than 13.45 so it is closer to 14 than 13, then we can round it off to the nearest greater number than 4.

3) Thus, we can round it off to:

Explanation

We are required to determine the pros and cons of using the factorial function on the calculator.

Hence, the answers are:

- Pros

• It makes calculation easier.

• It makes calculations to be done in an efficient manner.

• It helps students to solve complicated questions seamlessly.

- Cons

• It cannot help with large numbers as the calculator has limited space for answer preview.

• It does not help to understand better how the calculation is done.