What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?

Answer:

P(A)= 21/36

P(B)=1/2

Step-by-step explanation:

Given:

An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is rolled twice

So the sample space of rolling two dices is:

(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)

(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)

(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)

(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)

(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)

(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

Total number of sets=36

1)Now Finding probability of

Event A: The sum is greater than 6

From the above sample space sets that have the sum >6 are

(6,1)

(5,2) (6,2)

(4,3) (5,3) (6,3)

(3,4) (4,4) (5,4) (6,4)

(2,5) (3,5) (4,5) (5,5) (6,5)

(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

there are 21 sets

hence probability of Event A= 21/36

P(A)= 21/36

2) Now Finding probability of

Event B: The sum is an odd number

From the above sample space sets that have the sum an odd number are

(2,1)(4,1) (6,1)

(1,2)(3,2) (5,2)

(2,3) (4,3)(6,3)

(1,4) (3,4) (5,4)

(2,5) (4,5) (6,5)

(1,6) (3,6) (5,6)

there are 18 sets

hence the probability of Event B = 18/36

         P(B)= 1/2 !

Answer:

29000, with the margin of error of ±5000

Step-by-step explanation:

Margin of error is the amount of error that can be caused due to variation, change of circumstances or any miscalculation.

In given case value of college student's debt can be between

24000 and 34000

Finding mid-point

(24000+34000)/2

29000

Now finding deviation of 29000 from 24000 and 34000

24000-29000= -5000

34000-29000= 5000

Hence

29000, with the margin of error of ±5000 !

Answer:

Linear Positive Association

Step-by-step explanation:

Since you're looking for the volume of each...

Circle: you want to find the area (πr^2) times height

Rectangle: l×w×h

For this system of equation I used substitution:

Step 1: Every time you see a y in the equation y = 2x - 1 replace it with -4x - 19

-4x - 19 = 2x - 1

Step 2: Isolate x

(-4x + 4x) - 19 = (2x + 4x) - 1

-19 = 6x - 1

-19 + 1 = 6x + (- 1 + 1)

-18 = 6x

x = -3

Step 3: To solve for y replace x in the equation y = 2x - 1 with -3

y = 2(-3) - 1

y = -6 - 1

y = -7

(-3, -7)

Check:

-7 = -4(-3) - 19

-7 = 12 - 19

-7 = -7 --------------------------------> Correct!

-7 = 2(-3) - 1

-7 = -6 - 1

-7 = -7 --------------------------------> Correct!

Hope this helped!

We find out the number of lemons needed per cup by dividing the total number of lemons by the total number of cups. In this case, 18 lemons divided by 15 cups gives us the number of lemons used per cup of lemonade.

This question is asking how many lemons are required for each cup of lemonade if 18 lemons are used to make 15 cups of lemonade. This is a simple proportional math problem. To solve this, we divide the total number of lemons by the total number of cups.

Step 1: Identify the total number of lemons and cups, which are 18 and 15 respectively.

Step 2: Divide the total number of lemons by the total number of cups (18 lemons / 15 cups).

Step 3: The solution will show the number of lemons used per cup of lemonade.

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Answer:

[tex]\large\boxed{A.\ -10x^2-33x+1}[/tex]

Step-by-step explanation:

[tex]6x(x-4)-16x^2-(9x-1)\qquad\text{use the distributive property}\\\\=(6x)(x)+(6x)(-4)-16x^2-9x-(-1)\\\\=6x^2-24x-16x^2-9x+1\qquad\text{combine like terms}\\\\=(6x^2-16x^2)+(-24x-9x)+1\\\\=-10x^2-33x+1[/tex]

The expression simplifies to -10x^2 - 33x +1, following the distribution and combination of like terms.

The given question asks to simplify the expression 6x(x − 4) − 16x2 − (9x − 1). To solve, we follow these steps:

Therefore, the correct option is A. -10x2 − 33x + 1.

Answer:

a . is the right answer

trust me

Answer:

The midpoint is (9,6)

Step-by-step explanation:

The midpoint is just the average of the two end points.

x: (5 + 13)/2 = 18/2 = 9

y: (1 + 11)/2 = 12/2 = 6

The midpoint is (9,6)

Answer:

i) P(A) ; The probability that event A occurs

ii) P(AB) ; The probability that both event A  and event B occur

iii) P(AUB) ; The probability that either event A  or event B occurs

iv) 1 - P(ANB) ; The probability that both events A  and B do not occur                                 together, but either  may occur by itself

v) 1- P(AUB) ; The probability that neither event A  or event B occurs

vi) P(AIB) ; The probability that event A occurs  given the fact that event B occurs

Step-by-step explanation:

i)

P(A) simply represents the probability that an event A will occur. This event could be passing an examination, having snow in summer, arriving to work on time and so forth.

ii)

P(AB) is simply the probability that both event A  and event B do occur. This is usually given by the product of the individual probabilities. Event A could be rolling a 6 in one throw of a fair die while B could be the event that a fair coin lands heads in a single toss.

iii)

P(AUB) refers to the probability that either event A  or event B occurs. This is read out as the probability of A union B. This is usually given by the sum of the individual probabilities.

iv)

1 - P(ANB) is the probability that both events A  and B do not occur                                 together, but either  may occur by itself. P(ANB) is the probability that both events A  and B occur together. This is read out as the probability of A intersection B. Therefore implying that 1 - P(ANB) is simply the probability that either event A or B occurs but A and B can not occur together.

v)

1- P(AUB) refers to the probability that neither event A  or event B occurs. Earlier we defined P(AUB) as the probability that either event A  or event B occurs. 1- P(AUB) simply the complement of P(AUB).

vi)

P(AIB) refers to the probability that event A occurs  given the fact that event B occurs. This is a conditional probability event which evaluates the likelihood of an event A occurring given that an associated event B has already occurred

Answer:

7.76(x) / 4 = Total cost

$25.22

Step-by-step explanation:

Given in the question that,

number of glue sticks that cost $7.76 = 4

To find the cost of 13 glue sticks first we need to find the cost of one glue stick, for that we will need cost of 4 sticks with 4

4    ---->    $7.76

1     ---->    $7.76/4

                $1.94

Multiply the cost of 1 glue with 13

3  ----->    $1.94x13

               $25.22

Equation

where x represent number of glue sticks

Subtract the 30 feet from the overall height:

325 - 30 = 295

The height of the drop is 295 feet.

Answer:

295 hope this helps!!

Step-by-step explanation:

Answer:

x=-5   x=-4

Step-by-step explanation:

y=x^2 + 9x + 20

We need to factor the equation

What 2 numbers multiply to 20 and add to 9

4*5 = 20

4+5 =9

y=(x+5) (x+4)

To find the zero's we set the equation equal to zero

0= (x+5) (x+4)

Using the zero product property

x+5 = 0   x+4=0

x=-5   x=-4

Answer: 544 ft²

Step-by-step explanation: 17*32=544 and ft*ft=ft² so it is 544 ft²

The amount of Thorium-228 left after 22.8 years of decay from an initial 50 gram sample, given its half-life of 1.9 years, is 0.124 grams.

In this problem of thorium -228 decay, we apply the formula for exponential decay which is A=A0e^-kt. 'A0' represents the initial amount, which in this case is 50 grams. 'A' is the final amount after 't' years, and 'k' is the decay constant. To find the decay constant first, we note that thorium-228 decays to 50% of its initial quantity in 1.9 years. Therefore, we can write the equation 0.5=A0e^-1.9k. Solving for 'k', we get k = ln(2)/1.9, which allows us to derive the time constant for the decay.

Now we use this value of 'k' to find out the amount of thorium-228 left after 22.8 years. Plugging the values into our formula, we get: A = 50e^((ln2/1.9)*-22.8). Solving this yields a value of 0.124 grams, which means option C is correct.

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To find the amount of thorium-228 remaining after 22.8 years, we can use the formula A = A0e -kt. The correct answer is B) 30.32 grams.

To solve this problem, we can use the formula A = A0e-kt where A is the amount of the substance at a given time, A0 is the initial amount, k is the decay constant, and t is the time elapsed.

In this case, we are given that thorium-228 decays 50% every 1.9 years.

This means that the decay constant k = ln(2)/1.9. We can substitute the values into the formula and solve for A: A = 50 * e(-ln(2)/1.9)*22.8 = 30.32 grams.

Therefore, the correct answer is B) 30.32 grams.

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Answer:

8 laps

Step-by-step explanation:

Assuming in the equation given than n represents the number of laps run and t represents the time in minutes, when we plug in 16 in for t and simplify we get:

n=5/10*16

n=1/2*16 (Simplify the fraction by dividing top and bottom by 5)

n=16/2 (Multiply the fractions together by writing 16 as 16/1 and multiplying straight across)

n=8

Answer:

8

Step-by-step explanation:

This question is a bit of a guess. You have to assume that n is in laps and that t  is in minutes.

n = (5/10) * t Reduce 5/10 to 1/2

n = 1/2 * 16

n = 8

So if the assumptions are correct, he should be able to do 8 laps.

Answer:

(5 1/2, 1), ( 5 1/2, 2) and (5 1/2, 3).

Step-by-step explanation:

The x coordinates will all be 5 1/2 so we could have 3 points with coordinates:

(5 1/2, 1), ( 5 1/2, 2) and (5 1/2, 3).

Answer:

Step-by-step explanation:

So, carmen has 54 golf balls. He wants to put the same number of balls into each of 9 buckets.So, 54 divided by 9 is 6

the answer is 6

Answer:

9*6=54

Step-by-step explanation:

54÷9=6. You must reverse the equation to make it multiplication. There will be 6 balls in each bucket.

Answer:

False

Step-by-step explanation:

EU and the US are very good friends and they often trade with them.

Answer:

The answer to your question is True

Step-by-step explanation: Because The EU is largely viewed as a cornerstone of European stability and prosperity. For much of the last decade, however, many EU countries have faced considerable economic difficulties.

Hope this helps :)

And please mark my answer as the brainliest  

I got you fam!

Here's what I worked out for you:

1. Answer is C (-3, -5)

2. Answers are C and D (5, -1)

3. Answers are A and B (0, 3)

I'm one Brainliest away from ranking up, so one would be super appreciated! Thanks and good luck!

Answer:

The expression that represent the volume of the prism is  [tex]\frac{1}{2}x^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the prism is equal to

[tex]V=LWH[/tex]

In this problem we have

[tex]L=x\ units[/tex]

[tex]W=x\ units[/tex]

[tex]H=(1/2)x\ units[/tex]

substitute

[tex]V=(x)(x)(1/2)x=\frac{1}{2}x^{3}\ units^{3}[/tex]

Answer:

Its the first one

Step-by-step explanation:

2/3 - Red

4/21 - Blue

Change the red fraction so both fractions will have the same denominator

2/3 change to 14/21

Add blue and red together

14/21 + 4/21 = 18/21

Then subtract it from the total to get the white beads

21/21 - 18/21 = 3/21

Simplify it to get 1/7

Ans : 1/7

Fraction of white beads used is 1/7.

A number expressed as a quotient, in which a numerator is divided by a denominator.

Given:

red beads used = 2/3 = /1

blue beads used = 4/21

Total beads other than white

=14/21 + 4/21

= 18/21

N/ow, fraction of the beads should be white

=1- 18/21

=21/21 - 18/21

=3/21

=1/7

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Answer:

A. [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

The given equation is

[tex]3x-7y=14[/tex]

We solve for y by  subtracting 3x from both sides to obtain;

[tex]-7y=14-3x[/tex]

We now divide through by -7 to get;

[tex]y=\frac{-3}{-7}x+\frac{14}{-7}[/tex]

This simplifies to;

[tex]y=\frac{3}{7}x-2[/tex]

This equation is now in the form y=mx +c, where [tex]m=\frac{3}{7}[/tex] is the slope.

Answer:

19.5

Step-by-step explanation:

just look at the equation like this

1 1/2 - 1/4

???? - 3 1/4

divide 3 1/4 by 1/4 and multiply the result by 1 1/2

or just treat it as a ratio

1.5/x=.25/3.25

Answer:

3x-15

Step-by-step explanation:

(x-10)+(x-5)+(x)=3x-15

3x - 15

Simply add the different container sizes together. The first container holds x - 10 liters, the second holds x - 5 liters, and the third holds x liters.

(x - 10) + (x - 5) + x

Because of the associative property of Addition, we can remove the parentheses.

x - 10 + x - 5 + x

Because of the communicative property of addition, we can reorder the terms so that the like terms are next to each other.

x + x + x - 10 - 5

Now, combine the x’s.

3x - 10 - 5

Finally, subtract -10 minus - 5.

3x - 15

Answer:

[tex] \sqrt{ \frac{13}{16} } [/tex]

Step-by-step explanation:

[tex]cos \: theta = \frac{ \sqrt{3} }{4} \\ sin \: theta = \sqrt{1 - {cos}^{2} theta} \\ = \sqrt{1 - {( \frac{ \sqrt{3} }{4} ) }^{2}} \\ = \sqrt{1 - \frac{3}{16}} \\ = \sqrt{ \frac{13}{16} } [/tex]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• sin²x + cos²x = 1 ⇒ sin x = ± [tex]\sqrt{1-cos^2x}[/tex]

Since sinΘ < 0 , then

sinΘ = - [tex]\sqrt{1-(\frac{\sqrt{3} }{4})^2 }[/tex]

       = - [tex]\sqrt{1-\frac{3}{16} }[/tex]

      = - [tex]\sqrt{\frac{13}{16} }[/tex] = - [tex]\frac{\sqrt{13} }{4}[/tex]

A rectangle is a 4-sided flat shape with straight lines where all interior angles are rights angles (90°)

A shape that has two long sides &’ two short sides .

Answer:

The answers are already in order, so it makes this more simple to solve. To find the mean of all those numbers, you must add all the numbers up, then divide by the numbers that is given. In which this problem, it gives 6 numbers. 

So, 1+35+36+37+37+38= 184. Then, divide it 184/6= 30.6. The mode is the number that occurs the most in that set of numbers. In this case, it would be 37. The median is basically the number in the middle when the set of numbers is ordered from least to greatest. 1,35,36,37,37,38 (here's a hint: cross it off on each side) If there is no obvious middle number, in this case because we have an even set of numbers, we can calculate the median by taking the mean of the 2 middlemost terms and: 36, 37. 

36+37= 73

After that, divide by 2. 

73/2= 36.5

Answer:

Mean=30[tex]\frac{2}{3}[/tex]    Median= 36.5     Mode= 37

Step-by-step explanation:

Mean= You add up all of the numbers and then divide by 6.

Median= You go in from the right and the left till you are in the middle (for an even number of data points you add the two data points together and then divide by 2).

Mode= It is the most common number.

Answer:

Find the attached

Step-by-step explanation:

We are given the following linear equation;

-3y = 2x - 7

In order to graph it, we need to determine at least 3 pairs of points that lie on the line;

we first solve for y by dividing both sides of the equation by -3;

y = (-2/3)x + 7/3

let x be 3;

y = (-2/3)*3 + 7/3

y = 1/3

(3, 1/3)

let x be 6;

y = (-2/3)*6 + 7/3

y = -5/3

(6, -5/3)

let x be 9;

y = (-2/3)*9 + 7/3

y = -11/3

(9, -11/3)

Using the three set of points we graph our linear function. Find the attached;

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\ \cline{1-1} A=64\\ b=8 \end{cases}\implies 64=\cfrac{1}{2}(8)h\implies 64=4h \\\\\\ \cfrac{64}{4}=h\implies 16=h[/tex]