The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?

Answers

Answer 1

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.


Related Questions

find the value of x,

Answers

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

I need help pleasee please

Answers

Answer:

We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.

Suppose it costs you $100 to rent a jet ski, plus another $150 per hour
of use. Using the equation C = 150h + 100, where C represents the
total cost for the rental and h represents the number of hours you rent
the jet ski, identify the slope and y-intercept.

Answers

The y-intercept would be a 100 and the slope starting from a 100 would go up by 150 every hour.
Y-int: 100
Slope: 150

Which expression is shown using the model below?

Answers

Answer:

C

Step-by-step explanation:

Hopefully

C

I did it on edge hopefully this helps you and don't think i copied the other person

If you want to increase the length of the side of a square by 30%, what fraction can be used as the
multiplier to find the length of the new side?​

Answers

3/10 is an easy way to represent 30%, but since you are including what you already have you have to add 100% or 10/10. This means the fraction that would represent it is 13/10.

The fraction (13/10) can be used as the multiplier to find the length of the new side.

Suppose the length of the side of a square is x.

The new length of the side of the square after an increment of 30%

= x+ (30% of x).

What is the percentage?

The percentage is the value per hundred.

So, 30% of x = 30*x/100 =0.3x

So, new length of the side = x+0.3x =1.3x

We can represent 1.3x as (13/10)x

This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.

Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.

To get more about the percentage visit:

https://brainly.com/question/24304697

the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs

Answers

Answer:

  a.  0.15%

Step-by-step explanation:

The Z-score of 940 pounds is ...

  (X -µ)/σ = (940 -3550)/870 = -3

The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.

The probability that a car weighs less than 940 lbs is about 0.15%.

classify the number as rational or irrational 2√5​

Answers

m2.24

Step-by-step explanation:

I did the math and got 2.236 and rounded it and got 2.24.

irrational, the number doesn’t end and doesn’t repeat a pattern

Write down the solution for 5x - 12 = x - 8. Write down your answer in the form x =

Answers

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1

Answer:
x = 1

Steps:
5x - 12 = x - 8
-x -x

4x - 12 = -8
+12 +12

4x = 4
/4 /4

x = 1

Find the mean of the following data set: (Round to the nearest 10th) 2,3,10,15,20,24,30

Answers

Answer:

2+3+10+15+20+2+30=82

82/8=10.25

Step-by-step explanation:+10.25

Answer:

The answer is 14.9

Step-by-step explanation:

First I added 2,3,10,15,20,24,30 then  divided it by 7.

yuhh get in too ittt

Answers

Answer:

A

Step-by-step explanation:

16x-16=4y

4(4x-4)=4y

y=4x-4

Therefore, the correct answer is choice A. Hope this helps!

Answer:

16x-16=4(4x-4)

Step-by-step explanation:

16x-16=4(4x-4)

4(4x)=16x

4(-4)=-16

Please help me ASAP!!

Answers

Answer:

[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]

Step-by-step explanation:

[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]

An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?

Answers

Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

Answer:

$713.008

Step-by-step explanation:

4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair

Answers

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?

Answers

Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]

where,

[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

[tex]t_a[/tex] = 55 F,

Putting the values,

[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Please answer I need help no rush.

Answers

Answer:

12 divided by -6

Step-by-step explanation:

12÷(-6) (3) + (-2)

PEMDAS

P  There are no operations inside the parentheses

E There are no exponents

MD  Multiply and divide from left to right

12 divided by -6 is the first from left to right

?????????????????????????

Answers

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Is the graph increasing, decreasing, or constant?
O A. Increasing
ООО
B. Decreasing
O C. Constant

Answers

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

How do you tell if a graph is increasing?

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

To learn more about the graphs visit:

https://brainly.com/question/16608196.

#SPJ5

Probability Race game
Read the whole thing. Question 2 will be posted separately to make the question simple.

Question 1:
Why should you not play this game with Roland? Use probability to prove that
the game is unfair and Roland is likely to win. SHOW ALL YOUR WORK!

Answers

Answer:

see below

Step-by-step explanation:

There are 36 possible outcomes when rolling 2 die

P( number) = number of times the sum appears / total outcomes

p(1) =0/36

P(2) = 1/36

p(3) = 2/36

p(4) = 3/36

p(5) = 4/36

p(6) = 5/36

p(7) = 6/36

p(8) = 5/36

p(9) = 4/36

p(10) = 3/36

p(11) = 2/36

p(12) = 1/36

Since he picked first he has the greatest odds so he is most likely to win

sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?

Answers

Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

7
Eddie had lunch at 10 minutes to 1 in the afternoon.
Fatimah had lunch at 11 45 on the same day.
Who had lunch later? How much later?​

Answers

Answer: Eddie had lunch later than Fatimah.

Step-by-step explanation: Eddie had lunch at 10 minutes to one, which is 12:50. Fatimah had lunch at 11:45. So if you subtract 11:45 from 12:50, you find that Eddie had lunch 1:05 later than Fatimah.

Answer:

Eddie had lunch later.

He had lunch 1 hour 5 minutes later

Step-by-step explanation:

Eddie had lunch 10 min before 1

which means at 12 50.

Fatimah had lunch at 11 45 . Earlier than Eddie.

Eddie had lunch after her.

and How much later?

11 45 to 12 45 is 1 hour.

12 45 plus 5 minute is 12 50.

so it is 1 hour 5 minute

Identify the 9th term of the given geometric sequence. [/tex]1/3, −1/9, 1/27, −1/81, ....

HELP ASAP PLEASE!!!

Answers

Step-by-step explanation:

Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.

Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.

So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).

Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.

Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.

So, finally, we can solve the problem.

1/3 * (-1/3)⁸ = a₉

1/3 * 1/6561 = 1/19683

So the value of the ninth term of the given geometric sequence is 1/19683.

I hope you learned something and it wasn't too difficult to understand.

Answer:

^^ what he said xD

Step-by-step explanation:

It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.

What comes after 2- on the number line

Answers

Answer:

If you're going to the left, 1, if you're going to the right 3.

If you meant to write -2, then to the left -3 and to the right =-1

<-------------------------------------------------------------->

    -3        -2        -1        0      1          2        3

If you’re going to the left of the number line -3 comes after but if you’re going to the right -1 comes after

Question
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the
table.
x (pounds)
y ($)
1.90
0.5
1
3.80
Hola
1.5
5.70
2
7.60
Select the correct answer from each drop-down menu.
The relation described in the table is
The domain of the relation is
The range of the relation is
Submit
INTL

Answers

Answer:

The domain is {0.5, 1, 1.5, 2}

The range is {1.9, 3.8, 5.7, 7.6}

Step-by-step explanation:

The cost, y is in dollars, and x in pounds of almonds is shown in the  table.

x (pounds)                 y ($)

0.5                               1.9

1                                   3.80

1.5                                5.70

2                                  7.60

The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:

y = 3.8x

The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.

The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}

The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}

Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.

Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.

Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.

Find the values of x and y in the diagram.

Answers

Answer:can you put some angle degrees on it plz

Step-by-step explanation:


Which of the following describes the growth rate of the exponential function in the graph below?

For each x increase of 1, they increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, they increases by doubling and then adding 1.

Answers

Answer:

For each x increase of 1, the y increases by a common factor of 3. (second answer listed)

Step-by-step explanation:

Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.

Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:

[tex]f(x)=a\,\,b^x[/tex]

to be called exponential.

So every time that x increases by one unit, the following happens:

[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]

So notice that the original function ends up being just multiplied by the common factor "b".

The other options don't describe such behavior.

Answer:

For each x increase of 1, the y increases by a common factor of 3.

Step-by-step explanation: hope it helps ^w^

what is the slope.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope is the rise over run, so...

It  is 3/1 or just 3.

Step-by-step explanation:

Rise/run is slope

(2,1) is a point on the line, and so is (3,4)

The slope for this is 3

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
8, 17, 26, ...
Find the 32nd term.

Answers

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

n over 24 = 15 over 18?​

Answers

Answer:

n = 20

Step-by-step explanation:

cross multiply and divide

18n = 360

n = 20

Plz try your best do not quess

Answers

Answer:

4,000,000,000,000

Step-by-step explanation:

Make it look like this first:

[tex]\frac{6*10^8}{1.5*10^-4}[/tex]

You get:

[tex]4*10^{12}[/tex]

Which is 4,000,000,000,000

Answer: 4,000,000,000,000

Explanation : solve on the parenthesis
(6x100000000)/(1.5x0.0001)
600000000/0.00015
4,000,000,000,000

Solve the system of equations:
y = 2x - 3
y= x2 – 2x-8
A. (-1, -3) and (5, 4)
B. (0, -3) and (3, 3)
C. (4,0) and (-2,0)
D.(-1,-5) and (5,7)

Answers

Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

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