Answer:
Constant - A symbol having a fixed numerical value.
Proportionality - Equality between two ratios.
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
zero
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
if the line were to be vertical then it would be undefined
positive if the line went diagonally with the line going to the top right
negative if it went from top left to bottom left
Carmen leaned a 13-foot ladder against a wall. If the base of the ladder is 4 feet from
the bottom of the wall, approximately how far up the wall does the ladder reach?
Answer:
13+4=17
Step-by-step explanation:
The required ladder reaches approximately 12.37 feet up the wall.
What is the Pythagorean theorem?The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In algebraic terms, the Pythagorean theorem can be written as:
a² + b² = c²
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
Here,
We can use the Pythagorean theorem to solve this problem. Let's denote the distance from the bottom of the wall to where the ladder reaches the wall as h. Then we have,
h² + 4² = 13²
h² + 16 = 169
h² = 153
h ≈ 12.37
Therefore, the ladder reaches approximately 12.37 feet up the wall.
Learn more about the Pythagorean theorem here:
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Which equation shows y = (x − 4) 2 − 3 written in standard form?
Answer:
2x-y=11 is the standard form
Step-by-step explanation:
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Answer:
$2 is the answer ok no problem
the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x
Answer:
it is 8.65
Step-by-step explanation:
it just is but if it is wrong sorry been a while since i done this
Answer:
x=1.5
Step-by-step explanation:
a box in the shape of a triangular prism is shown below. what is the surface area of the box.
a. 94in
b.96in
c.98in
d.100in
Answer:
I' m not sure if I'm right but i think the answer is
surface area
A≈85.29
Find the distance between (-22,15) and (30, -25).
Answer:
65.60
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2
= √522+(−40)2522+(-40)2
= √2704+16002704+1600
= √43044304 = 65.6049
Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16
Answer:
x-intercept: (8, 0)
y-intercept: (0, -4)
Step-by-step explanation:
what is the slope of the line
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
DASA
Ther value for this data is 0.9701. This tells us that the graph shows a
Select a Value
some one plss help me
Answer:
Strong association between X and Y.
Step-by-step explanation:
I got the question right on the Algebra Nation
You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined
Answer:
A. the $5 off coupon
Step-by-step explanation:
10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more
The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.
Which coupon should I use?Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.
Coupon 1 : 10% x 29.9 = $3
Coupon 2 : 29.90 - $5 = $24.90
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Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!
Answer:
B
Step-by-step explanation:
I don't have an explanation but i know its right!!!
Find x, the missing side length in the right trienagle.
12
X
20
Answer
Answer:
x=16
Step-by-step explanation:
20^2-12^2=256
sqrt256=16
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units
The length of line height BC according to the given parameter is; 14√2.
What is the length of the line BC?It follows from the task content that the base edge length of the pyramid is 14 units.
On this note, it follows that length of the segment BC is given by Pythagoras theorem as;
BC² = 14² + 14²
BC = 14√2.
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Answer:
D. 14StartRoot 2 EndRoot units
Step-by-step explanation:
Edge
Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
PLEASE HELP AND HURRY!
The front of the home is being painted, not including the door the door measures 9ft by 2ft how many square feet will be needed
IGNORE THE WRITING
Answer:
ANSWER BELOW
Step-by-step explanation:
If the door is 9 x 2 ft (18 sq ft):
12 x 18 = 216 sq ft. (Front face including the door)
216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)
For the roof, the formula is h b/2:
So if the height is 4 and the base is 18, the area of the roof is 36.
To find the total area, you must add the area of the front face and the roof (without the door).
198 + 36 = 234 sq ft
Have a wonderful day my friend!
Answer:
i only answered so you could give the other person brainliest.
Step-by-step explanation:
Yea.
PLEASE HELP!!!!
Robert is baking desserts for a picnic. He needs to make at least 20 servings of dessert for the
event. For every batch of brownies he bakes, he will get 8 servings, and every pie will
yield 14 servings.
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation: