Answer:
absolute value is the same number just positive and cha never be negative.
Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20
Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
The distance across a circle through the centre is called the diameter.
Diameter = 2 × radius
In the given figures, option B has a diameter of 20
so radius = diameter /2
=20/2
=10 units
Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ5
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
These tables of ordered pairs represent some points on the graphs of lines p and r.
Which system of equations is represented by lines p and r?
9x−4y=−92x+4y=15
3x−y=−127x+3y=21
2x−y=−82x+y=7
x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3
Answer:
The answer above mine is correct and here is why.
Step-by-step explanation:
Please rate this answer choice 5 stars and leave a thanks, You do not need an acount to do this.Complete the missing factors
6a^2 + 11b - 35b^2 = ( 3a _______)(2a______)
please help me, thank you.
help im not good in math
Answer:
4
Step-by-step explanation:
yeah 4/8 is the answer. yeah-ya
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
Joseph is pouring concrete for his new patio. The area of the patio is 25.2 square feet
and the length is 7.2 feet. What is the width, w, of his patio?
Answer:
3.5ft
Step-by-step explanation:
A = L(W)
25.2 = 7.2(W)
3.5 = W
Write 0.012 as a fraction in simplest form.
Answer:
3/25Step-by-step explanation:
Remove The decimal,
= > 0.012 = 12/100
= > 3/25...ans
Hope it Helps you!!7/8 times 7/9 what is the answer
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles
does this help??
Step-by-step explanation:
Factorise. 5a² - 10a
Answer:
5a (a -2)
Step-by-step explanation:
Hey there,
Here, you have to get the common factors out from the brackets.
According to this question,
a and 5 are the common factors.
Therefore, you can write the answer like this,
5a² - 10a
5a (a -2)
Hope this helps you.
Let me know if you have any other questions :-)
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
Answer:
8 months
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8
please helpppppppppoppo
Step-by-step explanation:
360_90_110=1602a+3a=160a=32°math need helps i will brainliest
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
What is the slope of the line that passes through the points (9, 1) and (17, 2)
A: 8/15
B: 8/1
C: 1/8
D: 15/8
Answer:
C
Step-by-step explanation:
Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)
m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8
write down three integers below 25 with the range of 10 and the mean of 13
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10
What is 100,000×1,000,000
Answer:
100,000 × 1,000,000 = 1.E11
Answer:
100000000000
Step-by-step explanation:
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the values of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Answer:
48
Step-by-step explanation:
When you write out the problem it should look like this
15+c⋅2⋅d-c⋅3
or in other form
15+3⋅2⋅7-3⋅3
You can solve using PEMDAS
Paratheses
Exponents
Multiplication
Division
Addition
Subtraction
Just use those in order and you should find to answer.
-Rocketgamer360
no need to explain just tell the answer
Answer: z = 18
Step-by-step explanation:
180 = 90 + (3z+4) + (2z-4)
z = 18
Simplify the following:
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
A triangle has two side of lengths 10 and 14. What value could the length of the third side be?
Use the Pythagorean Theorem [tex]a^2 + b^2 = c^2[/tex].
Since we have 2 sides we can easily solve for the third.
[tex]c^2 = 10^2 + 14 ^2[/tex]
[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]
Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.
the answer is 524.47500
can u sub 2 my channel its Raging Sushi and can u like the only video there is
Which graph is right?
Answer:The first option is correct
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[
Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).
(-13, -6), (7, 15) = 1.05
Equation: y = 1.05x + 7.65.
The entered points belong to an increasing, linear function.
Answer:
m = rise / run = 21/20, or m = 1.05
Step-by-step explanation:
If the lines are parallel, their slopes are identical. So we can find the slope of line 1 and know that it's also the slope of line 2.
From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7. Thus, the "run" in m = rise / run is 20. Likewise, the "rise" is 21.
Thus the slope in question is m = rise / run = 21/20
At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.
Answer:
Y=-4x+99
Step-by-step explanation:
Your y intercept is always the last number in the equation
The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.
Therefore, the slope of the line is;
m = Δy/Δx
m = 4
The equation in slope-intercept form is;
Y=-4x+99
To know more about the Slope of the line here;
brainly.com/question/14511992
#SPJ2
The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?
Answer:
4th term
Step-by-step explanation:
Equate the nth term formula to 54 and solve for n
3n² - n + 10 = 54 ( subtract 54 from both sides )
3n² - n - 44 = 0
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × - 44 = - 132 and sum = - 1
The factors are - 12 and + 11
Use these factors to split the n- term
3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )
3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term
(n - 4)(3n + 11) = 0
Equate each factor to zero and solve for n
n - 4 = 0 ⇒ n = 4
3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]
Since n > 0 then n = 4
The 4th term of the sequence is 54.
What is a sequence ?A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.
According to the given question the nth term of a sequence is 3n² - n + 10.
We have to determine which term is equal to 54 or the value of and it must be an integer.
So, 3n² - n + 10 = 54.
3n² - n - 44 = 0.
3n² - 12n + 11n - 44 = 0.
3n(n-4) +11(n-4) = 0.
(3n+11) = 0 OR (n-4) = 0.
n = - 11/3 OR n = 4. ( given the term no. is a positive integer ).
learn more about sequence here :
https://brainly.com/question/21961097
#SPJ2
Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Which statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.
Answer:
See the picture, it explains the correct choice is CStep-by-step explanation:
a) Line F′G′ is the original line. Falseb) Line F′G′ passes through the origin. Falsec) Lines FG and F′G′ are parallel to each other. TRUEd) Lines FG and F′G′ are perpendicular to each other. FalseFind the perimeter. Simplify your answer.
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answer:
97
Step-by-step explanation:
