Answer:
The standard form of the linear equation is 10x - y = 4
Step-by-step explanation:
The standard form for linear equations in two variables is
Ax + By = C, where A, B, and C are integers
∵ The linear equation is y = 10x - 4
→ Let us move x from the right side to the left side by subtraction
10x from both sides
∴ y - 10x = 10x - 10x - 4
∴ y - 10x = -4
→ Multiply all terms in the two sides by -1
∴ -y + 10x = 4
→ Start the equation by x
∴ 10x - y = 4
∴ The standard form of the linear equation is 10x - y = 4
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
Answer:
Throughout the clarification category elsewhere here, the definition of the concern is mentioned.
Step-by-step explanation:
Null hypothesisThere seems to be no option for consuming peanut butter oatmeal mixture including apple slices with Meadow voles as well as regular voles.
Alternative hypothesisMeadow voles tend to consume a combination of peanut butter oatmeal whereas different or specific votes prefer eating slices of apples.
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer
The ___ is the part of the neuron that carries information away from the cell body.
Answer:
axons
Step-by-step explanation:
The axons is the part of the neuron that carries information away from the cell body.
Answer: axon
Step-by-step explanation:
I just know cause I'm a different breed
Find the equation of a line passing through the point (6,9) and (0,0)
Answer:
y=3/2x
Step-by-step explanation:
The equation of the required line as per slope-intercept form is 3x - 2y = 0.
What is the equation of a line passing through two points?The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:
m = (y₂ - y₁)/(x₂ - x₁)
Here, 'm' is the slope and 'c' is the y-intercept of the given line.
Therefore, the slope of a line that passes through (6, 9) and (0, 0) is
= (0 - 9)/(0 - 6)
= 3/2
Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.
The line passes through the point (0, 0).
Therefore, 0 = (3/2) × 0 + c
⇒ c = 0
Now, the equation of the straight line is
y = (3/2)x + 0
⇒ 2y = 3x
⇒ 3x - 2y = 0
Learn more about equation of a line here: https://brainly.com/question/25283605
#SPJ3
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
What is 4/15 / -3.4
Answer:
Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137
How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
How many values are in the range 35 to 95?
A) 62
B) 61
C) 60
D) 59
Answer:
61
Step-by-step explanation:
==================================================
Work Shown:
a = smallest integer = 35
b = largest integer = 95
c = number of integers between 'a' and 'b' (including both endpoints)
c = b-a+1
c = 95-35+1
c = 61
The +1 is to count the starting value.
Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.
!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25
Answer:
B C A
Step-by-step explanation:
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw
Step-by-step explanation:
you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees
PLEASE HELP! 6TH GRADE MATH please write done what number you're doing
Answer:
# 10 is 4/3 or 1 and 1/3
#11 is 4/10 or 2/5
#12 is 2 and 3/4
#13 is 36/12 or 3 and 1/12
Step-by-step explanation:
i am not 100% sure on #13 btw
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
Hey your answers on there are correct.
Step-by-step explanation:
400 reduced by twice my age is 68 how old am i
hope it helps.........
Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12
Answer:
13/15 > 4/5 is a true stament.
Step-by-step explanation:
The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.
what is the slope of this line -1/3, -2/3,2/3,1/3
Answer:
(-5,9),(3,0)
(0,1),(1,0)
(1,2),(3,4)
Step-by-step explanation:
I hope this helps!
Answer: It's 2/3
Step-by-step explanation:
fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .
Answer:
the answer is D
Step-by-step explanation:
Jumping makes a frog so tired, each successive jump is 2/3 the distance of the previous hump. If a frog jumps 24 cm on its first jump, how far will the frog travel after four jumps?
Just one more question I need this in a step by step please
Answer:
2x+20+3x+40=90
5x+60=90
5x=30
x = 6
2x+20 = 2(6)+20
12+20
=32
3x+40 = 3(6)+40
18+40
=58
Answer:
Here we can first find the value of x simply by using the concept of corresponding angles.
As we know that angle with measurement 2x+20Degree and the right angle below are corresponding as we can consider the line (underlined in red) as a transversal intersecting lines underlined in green. {PLEASE SEE THE ATTACHMENT TO SEE THE HIGHLIGHTED LINES}
So, we get 2x+20 degree = 90 degree.
= 2x+20=90
= 2x=90-20
= 2x=70
= x= 70/2
= x=35 degree.
Now as we know the value of x we can find the other unknown angle by substituting it in the equation for the other angle.
Therefore, 3x+40degree= 3*35+40
105+40
= 145 degrees.
How much money will it cost to buy the paint? Show all work
Answer:
Step-by-step explanation:
Circle:
diameter = 30 ft
r = 30/2 = 15 ft
Area = πr²
= 3.14 * 15*15
= 706.50 square feet
Triangle:
base (b) = 30 ft
height (h) = 20 ft
Area = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]
= 300 square feet
Area of four triangles = 4 * 300
= 1200 square feet
Area to be painted blue = area of circle + area of 4 triangles
= 706.50 + 1200
= 1906.50 square feet
Area painted by one bucket blue paint = 350 sq. feet
Number of paint buckets needed = 1906.50 ÷ 350
= 5.44
= 6
6 buckets of blue paint is needed.
Cost of 6 buckets of blue paint = 85.50 * 6
= $ 513
Each part of the design needs two coats.
So Cost for two coats = 2 * 513
= $ 1026
Square:
Side = 40 ft
Area of square = side *side
= 40*40
= 1600 sq. ft
Area of square to be painted yellow = area of square - area of circle
= 1600 - 706.50
= 893.50 sq.ft
Area painted with one bucket of yellow paint = 250 sq. ft
Number of yellow paint buckets needed = 893.50 ÷ 250
= 3.574
= 4
4 buckets of yellow bucket is needed
Cost of 4 buckets of yellow bucket = 64.50 * 4
= $ 258
Each part of the design needs two coats.
So Cost for two coats = 2 * 258
= $ 516
PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?
Answer:
The final balance is $1,692.94.
The total compound interest is $392.94.
Step-by-step explanation:
1,300 x 0.045=___ x 6
Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation
Answer:
dilation
Step-by-step explanation:
dilation will make the shape larger or smaller which will change the shape.
What is the slope of y-5= 3x + 4?
Answer:
x=53
y=19
Step-by-step explanation:
3x + y-5
3(5)=15
15+y
A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.
Answer:
$930.76
Step-by-step explanation:
So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.
the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle
Answer:
6 centimeters
Step-by-step explanation:
Area = Length * Width
42 = 7 * Width
Width = 42/7
Width = 6 centimeters
What is 1.6 + 4x > 14.
Answer:
Simplifying
1.6 + 4x = 14
Solving
1.6 + 4x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.6' to each side of the equation.
1.6 + -1.6 + 4x = 14 + -1.6
Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 4x = 14 + -1.6
4x = 14 + -1.6
Combine like terms: 14 + -1.6 = 12.4
4x = 12.4
Divide each side by '4'.
x = 3.1
Simplifying
x = 3.1
Step-by-step explanation:
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.
Answer: x = 2
If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.
Step-by-step explanation:
Initial calculations to find a starting value for w.
Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.
The length of the arc is half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd, a = πw/2
Three sides of a rectangle (presumably a square for the initial calculation) 3w
Initial equation: 3w + πw/2 = 8 Substitute 3.14 for π and solve for w
2(3w) + 2(3.14w/2) = 2(8) multiply all terms by 2 to eliminate denominator
6w + 3.14w = 16 combine like terms
9.14w = 16 divide both sides by 9.14
w ≈ 1.75
Calculate the area using this value:
Area of semicircle: πr²/2 r= 1.75/2
3.14(.875)²/2 ≈ 1.203
Area of rectangle 1.75 × 1.75 = 3.0625
Total Area with width 1.75 : 4.265 ft²
Increasing the width to 2
The length of the arc becomes 3.14 This is twice the area of the semicircle.
3.14/2 = 1.57
The height of the rectangle reduces to 1.43
1.43 × 2 = 2.86
Total area with width of 2 ft 2.86 + 1.57 = 4.43 ft²
So 2 ft seems to be the optimal width.
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).