Answer:
y = -6x - 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 12x + 2y = -12
Step 2: Rewrite in slope-intercept form
Subtract 12x on both sides: 2y = -12x - 12Divide 2 on both sides: y = -6x - 6A new LED light bulb uses 10 watts of power. Since energy = power × time , then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?
9514 1404 393
Answer:
150 Wh
Step-by-step explanation:
We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...
(10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh
Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
Answer: 6.25 Kilometers
Step-by-step explanation:
First, take 2.45 Kilometers from day one
Then take 3.8 Kilometers from day two
Now add them together for the result of
6.25 Kilometers
URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answer:
kj gfbdhngfbd
Step-by-step explanation:
Completely factor the expression.
Answer:
x(8xsquare+6x-20)
Step-by-step explanation:
Answer:
[tex]x(2x+4)(4x-5)[/tex]
Step-by-step explanation:
[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]
Fill in the blank to find the y-intercept.
(0,_____)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
the y intercept is the point on the graph where the line crosses the x axis
Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2
PLEASE HELP!! GEOMETRY!!
=685.67Step-by-step explanation:
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
The time it takes to preform a task has a continuous uniform distribution between 43 min and 57 min. What is the the probability it takes between 52.3 and 54.7 min. Round to 4 decimal places.
Answer:
The values is [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]
Step-by-step explanation:
From the question we are told that
The lower limit of the interval is a = 43 minutes
The upper limit of the interval is b = 57 minutes
Generally the probability distribution function of uniform distribution is mathematically represented as
[tex]F(x) = \left \{ {{\frac{1}{(b - a)}\ \ \ for \ x \ \epsilon\ | a, b | } \atop {0 } \ \ \ \ \ \ otherwise} \right.[/tex]
Generally the probability it takes between 52.3 and 54.7 min is mathematically represented as
[tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {F(x)} \, dx[/tex]
=> [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{57- 43} } \, dx[/tex]
=> [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{14} } \, dx[/tex]
=> [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } \int\limits^{52.4}_{54.7} \, dx[/tex]
=> [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } [x] \ | \left 54.7} \atop {52.3}} \right.[/tex]
=> [tex]P(52.3 < X < 54.7 ) = \frac{54.7 -52.3}{14}[/tex]
=> [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]
what is the remainder of 58,511 divided by 21, the quotient is 2,786 R
Answer:
the remainder is 5. 2,786 R 5
A recipe for biscuits says to mix 6 cups of flour with 2 cups of milk. How many cups of flour would you need for 3 cups of milk?
Answer:
9 cups of flour
Step-by-step explanation:
6 / 2 = 3
3 • 3 = 9
Find the simplified product 5/n+1 x n+1/n+3
Answer: C) 5/n+3
Step-by-step explanation:
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.
The complete table is given below. Then the correct option is C.
Hours Minutes
2 120 3 180 4 240What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The following is a conversion table for hours and minutes.
We know that in one hour, there are 60 minutes.
In two hours, there are 120 minutes.
In three hours, there are 180 minutes.
Similarly, in four hours, there are 240 minutes.
Then the complete table is given below.
Hours Minutes
2 120
3 180
4 240
Then the correct option is C.
The complete question is given below.
The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?
Hours Minutes
120
180
240
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List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water
Answer:
no
Step-by-step explanation:
Purchased bed for $119.99 bought it at $71.99 the percent difference was 40% or $48.00. How to I write an equation that relates y discount cost to x original cost.
Answer:How was the question asked I bet I could figure it out if you told me that
Step-by-step explanation:
Answer right and I’ll give you brainliest
how much sugar is in a 1 l bottle of soda
Answer:
Step-by-step explanation:
It is about 52 grams of sugar in one bottle of soda.
Answer:
It contains a 108 grams of sugar
Write a equation
3. slope = 5, goes through the point (2,7)
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
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Help me please and thank you
If someone could help me out here it would be greatly appreciated.
Answer:
k=45
Step-by-step explanation:
the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?
Perimeter = 9.5
Perimeter = 10.6
Perimeter = 15.2
Perimeter = 17.4
Answer:
wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the
Step-by-step explanation:
The perimeter of the smaller triangle will be 17.4. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.
The shortest side of the other triangle has a length of 3 inches.
Then the perimeter of the smaller triangle will be
Let the other two sides of the smaller triangle be x and y. Then we have
3/10 = x/18 = y/30
From the first two terms, we have
3/10 = x/18
x = 5.4 inches
Then from the first and third terms, we have
y/30 = 3/10
y = 9
Then the perimeter of the triangle will be
P = 3 + 5.4 + 9
P = 17.4 inches
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Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
which is a characteristic of any function created by the product of two linear factors?
A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts
Answer:
the answer is d
Step-by-step explanation:
The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
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find two number closest to 5000 that are divisible by 36,21,and 12
pepper jackie has 7.5 bags of much to cover
Answer:
0.625 is equal to 5/8 bag,
Step-by-step explanation:
Answer:
Less Than 1 Bag
Step-by-step explanation:
I-Ready
the sum of four consecutive odd numbers is 48?
Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
Which expression represents the phrase below?
The product of 15 and the quantity 12 less than a number.
a. (15 x 12) - a
b. 15(a - 12)
c. 15+ (12-a)
d. 12a * 15
Answer:
Answer C
Step-by-step explanation:
the product of 15 and the quantity 12 less than a number
Help me out plz. Struggling :( 5 and 4
Answer:
#5 = $676.40
#6 = $522.50
Step-by-step explanation:
Lets start with number 5.
Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week
Now for number 6
He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:
Solve for his pay on a normal week:
11 * 40 = 440 a week on a normal week
Find out how much overtime
45-40 = 5 hours
Calculate the pay for the overtime
(11*1.5) x 5 =
16.50 x 5 = 82.5
Add the two pays together
440 + 82.50 = $522.50
also #4 is not provided to me to solve so if you want it solved update this question to include it
Hope this helps :)
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.
Which simulation design could she use to estimate the probability?
A. Number cube
Let 1,2,3,4 = rock
Let 5,6 = pop
Roll cube three times. Repeat.
B. Random Digits
Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop
Select three random digits. Repeat
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
D. Number cube
Let 1 = rock
Let 2 = pop
Roll cube three times. Repeat
Answer:
number cube
let even number= country
let odd number= not country
roll cube three times. repeat.
------------------------
Step-by-step explanation:
a p e x :))
The simulation design could she use to estimate the probability is;
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.
For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.
Looking at the options, the only one that corresponds to our simulation is option C.
Read more about probability simulation at; https://brainly.com/question/10333446