Answer:
y-18,000=2,750(x-0) --> point-slope
y=2,750x+18,000 --> slope-intercept
-2,750x + y = 18,000 --> standard
Step-by-step explanation:
Linear Modeling
Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).
We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let's find the equation of the line with the 2 points:
[tex]\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)[/tex]
Calculating:
[tex]\displaystyle y-18,000=\frac{5,500}{2}(x-0)[/tex]
[tex]y-18,000=2,750(x-0)[/tex]
The equation above is the point-slope form of the line
Simplifying and adding 18,000:
[tex]y=2,750x+18,000[/tex]
The equation above is the slope-intercept form of the line
Moving all the variables to the left side:
[tex]-2,750x + y = 18,000[/tex]
The equation above is the standard form of the line
Answer:
y-18,000=2,750(x-0) --> point-slope
y=2,750x+18,000 --> slope-intercept
-2,750x + y = 18,000 --> standard
Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias
Answer:
las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.
Step-by-step explanation:
Sea x un numero, entonces
1)2x
2)5x
3)x-1 (aqui x es un numero entero)
4)[tex]\frac{x}{2}[/tex]
5)[tex]\frac{x}{10}[/tex]
6)x+1 (aqui x es un numero entero
7) x(x+1) (aqui x es un numero entero
8) x(x+1)(x+2) (aqui x es un numero entero
Sum of two numbers is -32 what number is two less than the other
First no. = z
Second no. = z - 2
z + (z - 2) = -32
z + z - 2 = -32
2z - 2 = -32
2z = -32 + 2
2z = -30
z = -30/2
z = -15
First no. = -15
Second no. = -17
Answer this question and I will give you brainliest and help on anything
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?
Apples cost $1.89 per pound. What equation shows the relationship between total cost (t), price (p), and pounds purchased (n)?
1.89 = nt
n⁄t = 1.89
1.89t = n
t = 1.89n
Answer:
[tex]t(n) = 1.89n[/tex]
Step-by-step explanation:
From the given information
'p' denotes 'price per pound'i.e. p = 1.89
'n' denotes the 'number of pounds purchased' 't' denotes the 'total cost 'Therefore, the equation becomes
[tex]t(n) = pn[/tex]
as
[tex]p=1.89[/tex]
so
[tex]t(n) = 1.89n[/tex]
Verification:
If you want to purchase 1 pound apple
i.e.
[tex]n=1[/tex]
Total cost would be:
[tex]t(1) = 1.89 (1)[/tex]
t = $1.89 per pound
please help me :(
Jill, Grace, and Billy shared pennies in the ratio 2 : 4 : 4. They had a total of 120 pennies in all. How many pennies did Jill receive?
2 pennies
24 pennies
48 pennies
60 pennies
Answer:
24
Step-by-step explanation:
Jill 2 Grace 4 Billy 4
Jill 24
Grace 48
Billy 48
Answer:
4+4+2=10
120/10=12
12*2=24
24
Step-by-step explanation:
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.
Classify the sentences based on whether they describe an investing mistake or a good investment decision.
Answer:
What sentences?
Step-by-step explanation:
Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????
Answer:
Investing mistake :
Silvia successfully avoids investing
in unfamiliar foreign companies.
Ryan invests only in the stock of
companies he has complete faith in.
Martha decides to hold her
investments despite their poor
market performance over
three years.
Good investment decision:
Sanjay invests in companies in
a variety of industries.
Ricardo starts investing in index
funds with the aim of building
his wealth steadily over time.
Sabina invests small amounts in
stocks, bonds, and real estate.
Step-by-step explanation:
Got it right in edmuntum :)
How many solutions are there?
Answer:
only one, as x is just one thing as in x=589247 or x=390538
Step-by-step explanation:
once again im still struggling with this
Answer:
In bold below.
Step-by-step explanation:
There are 2 whole circles shaded and the other has 3 parts out of 5 shaded.
Mixed number = 2 3/5.
Improper fraction = 13/5.
please help this is so confusing!!!
Answer:
$16.50 on 3 bags of dog food
Step-by-step explanation:
First you would do 27.50/5 to find out how much one bag costs.
The symbol / mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!
find the volume of the prism
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².
A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).
As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,
Volume = area of the base × height
Also,
Area of the base = length × breadth
So,
Volume = length × breadth × height
= 10 × 4 × 3
= 120 square inches.
Therefore, the volume of the rectangular prism is 120 inches².
Learn more about Prism here:
https://brainly.com/question/12649592
#SPJ6
The complete question is as follows:
Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.
Linear or nonlinear
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
Answer:
linear
Step-by-step explanation:
it is in y=mx+b form. also it forms a straght line
A football team gains 4 yards on their first play. They lose 15 yards on the next play.
Enter two integers that represent the two plays.
Answer:
either 4+ and -15 or 4 and -15
Step-by-step explanation:
pls help me with long division
86÷3 =
*The divisor is 3 and the dividend is 86
First step: How many 3's can fit into 8? (8÷3)
8÷3 = 2 r 2
Second step: add a 2 above the eight in the tens place of the answer.
86÷3 = 2_
Third step: multiply 3 x 2; 3 x 2 = 6;
In this step, we put a 6 underneath the 8.
Fourth step: Subtract.
In this step, we subtract 8-6 (=2)
Fifth step: bring down the next number. In this case, it is 6.
In this step, we now have the number 26.
Sixth step: How many 3's can fit into 26? (26÷3)
26÷3 = 8 r 2
Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.
I hope this was easy for you to understand!
Answer:
Step-by-step explanation:
2 8 R2
3[tex]\sqrt{86[/tex]
- 6
-------------
26
- 24
-----------
0 2
Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL
Answer:
0.98778
Step-by-step explanation:
When we are given a random number rod samples, we solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 102.1 mL
μ is the population mean = 101.5 milliliters (mL)
σ is the population standard deviation = 1.6.
n = 36
z = 102.1 - 101.5/1.6/√36
z = 2.25
Probability value from Z-Table:
P(x<102.1) = 0.98778
Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778
-9 is an example of what
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
Find the probability the next person you meet was born either on a Monday or a Friday.
Answer:
Probability = 0.2857 (Approx)
Step-by-step explanation:
Given:
Total number of days in a week = 7
Monday or Friday = 2 days
Find:
Probability
Computation:
Probability = Monday or Friday / Total number of days in a week
Probability = 2/7
Probability = 0.2857 (Approx)
Solve for x. Geometry problem.
Answer:
12.33
Step-by-step explanation:
6x - 2 + 9x - 3 = 180° (linear pair)
6x + 9x - 2 - 3 = 180°
15x - 5 = 180°
15x = 180 + 5
15x = 185
x = 185/15
x = 12.33
hope this helps you!
Is (n - 1)^2 odd or even
Answer:
even
Step-by-step explanation:
even
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[tex]If \: \: n \: \: being \: \: Even \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Odd \\ [/tex]
[tex]If \: \: n \: \: being \: \: Odd \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Even \\ [/tex]
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When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?
Answer:
3.3912cm³/minStep-by-step explanation:
Area of the circular plate = πr² where r is the radius of the plate.
dA/dt is the rate at which the plate is increasing
since dA/dr = 2πr and dr/dt = 0.01cm/min
dA/dt = dA/dr * dr/dt
dA/dt = 2πr dr/dt
dA/dt = 2π(54)(0.01)
dA/dt = 2π(0.54)
dA/dt = 3.3912cm³/min
Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?
Answer:
0.5
Step-by-step explanation:
PLEASE HELP Find the x-component of this
vector and the y-component
Answer:
x ≈ 11.5, y ≈ 3.4
Step-by-step explanation:
Th rectangular components of the vector are
x = r cosθ
y = r sinθ
where r is the magnitude and θ is the angle between x- axis and vector
Here r = 12 and θ = 90° - 73.3° = 16.7° , then
x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )
y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )
A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?
(1,2) and parallel to 3x+4y=12
Answer:
y=-3/4x+10/4
Step-by-step explanation:
1) Change given equation to slope intercept form:
3x+4y=12
4y=12-3x
y=3-(3/4)x
y=-(3/4)x+3
2) Parallel lines have the same slope, so the first part of the equation is:
y=-(3/4)x+b
3) To find b, we plug in y=2 and x=1 given the prompt:
2=-(3/4)(1)+b
2=-3/4+b
2 3/4=b
10/4=b
4) Therefore, the correct equation is:
y=-3/4x+10/4
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answer:
Here is the graph
Step-by-step explanation:
Zach spent $2.00 to buy 10 packs of gumHe plans to sell each pack of gum for $ 0.50. Which equation represents the profit, that Zach will make if he sells x packs of gum?
Answer:
x=$0.50 one pack for 50 cents
Step-by-step explanation:
$2.00= 10
$1.00=5
Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?
Answer:999
Step-by-step explanation:11x9=999