Answer:
Slope = 5/4
Step-by-step explanation:
GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.
Simplify the expression:
27
simplifying square roots
Answer:
3^2
Step-by-step explanation:
3x3x3 = 27
Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.
Answer:
3 by the power of 2
Step-by-step explanation:
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
What is the slope of the line graphed below?
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month.
Answer:
355.923 cubic feet per month
Step-by-step explanation:
Units Conversions
We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:
1 US pint = 0.0167101 cubic foot
1 month = 30 days (average)
710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet
That volume corresponds to a daily flow. For a monthly flow, multiply by 30:
355.923 cubic feet per month
insert 6A.M's between 15 and -13
Answer:
-13
Step-by-step explanation:
see if good
y = x²+1 at x=1 what’s the solution?
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
Please answer quickly I really need this answer
Answer:
The answer is 10
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answer:
$50
Step-by-step explanation:
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
Learn more about of Demand Function: https://brainly.com/question/25938253
A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
Solve:
5x + 10 = -15
Answer:
x= -5
Step-by-step explanation:
5x + 10 = -15
subtract 10 from both sides
5x = -25
divide both sided by 5
x = -5
Hope this helps :)
A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answer:
a. 15 students
b. 32 students
c. 35 students
d. 34 students
e. 55 students
f. 67 students
Step-by-step explanation:
See attachment for complete question
Solving (a): Tricycle, Motorcycle and Car
This is the intersection of Tricycle, Motorcycle and Car.
From the attached Venn diagram, there are 15 students in this category
Solving (b): Tricycle and Motorcycle.
This is the intersection of Tricycle and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]
[tex]All = 15[/tex]
[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]
[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]
[tex]Tricycle\ and\ Motorcycle = 32[/tex]
Solving (c): Car and Motorcycle.
This is the intersection of Car and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Motorcycle\ only = 20[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]
[tex]Car\ and\ Motorcycle = 15 + 20[/tex]
[tex]Car\ and\ Motorcycle = 35[/tex]
Solving (d): Car and Tricycle.
This is the intersection of Car and Tricycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Tricycle\ only = 19[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]
[tex]Car\ and\ Tricycle = 15 + 19[/tex]
[tex]Car\ and\ Tricycle = 34[/tex]
Solving (e): Car only
From the attached Venn diagram, we observe the following data:
[tex]Car\ only = 55[/tex]
Solving (e): Motorcycle only
From the attached Venn diagram, we observe the following data:
[tex]Motorcycle\ only = 67[/tex]
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.
Answer:
this is your question
Step-by-step explanation:
please mark as brainliest
The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5
Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -
3y = 1/2x
y = 1/6x
At [x] = 0, y = - 5
So -
y = (1/6)x - 5
Now -
slope = 1/6
[y] - intercept = - 5
y = 0 = (1/6)x - 5
(1/6)x - 5 = 0
1/6x = 5
x = 1/30
[x] - intercept = 1/30
Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.
To solve more questions on Money and taxes, visit the link below-
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find m ABC (2x) (5x+5)
Answer:
=130
Step-by-step explanation:
(2x) (5x+5) = 180
7x + 5 = 180
7x = 175
x = 25
5(25) + 5 = 125 + 5 = 130
Hope this helps (:
The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second
Answer:
Divide 9944 by 12 feet per second
828.666 or 828.7
Step-by-step explanation:
9514 1404 393
Answer:
829 ft/s
Step-by-step explanation:
Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.
[tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]
According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?
Answer:
11:59:59. Human history can be represented as only less than one second in a 12 hour clock.
FIRST RIGHT GETS BRAINLIEST. Find the decimal and Percent of 2/3
Answer:
0.667 and 66.67% rounded
Step-by-step explanation:
2/3 = 0.66666 repeating which can be rounded to 0.667
2/3 = 66.6666% repeatinf which can be rounded to 66.67%
_
Answer: Decimal = 0.6 Percent = 66.67%
Step-by-step explanation: The line above the 6 in 0.6 stands that it repeats over and over again, and the percent is 66.67% because if you divide 100/3x2, you get 66.67.
20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *
Answer:
3
Step-by-step explanation:
he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones
5+(-5)=0 identify the property
Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
Write 3.4 times 10^-2
Answer:
0.034
Step-by-step explanation:
10^-2 is 1 over 100 times 3.4
two numbers or expressions that have been the same value are
Answer:
equivalent
Step-by-step explanation:
Equivalent means equal so equivalent expressions equal the same value.
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
488 points for defeating 61 enemies
Divide 488 by 61 to find the unit rate.
488/61 = 8
You get 8 points for defeating each enemy.
Hope this helps
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
what is -3/8 ÷ 7/12 help
Answer:
-9/14
Step-by-step explanation:
Have a good day <3
Answer:
-9/14
Step-by-step explanation:
-3/8 ÷ 7/12
Flip the second fraction and multiply
-3/8 x 12/7
You can cross-simplify
-36/56
-9/14
Hope this helped!