a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
Can you help me with this question please
Answer:
x should be 101
Step-by-step explanation:
Solve each proportion.
2/8=5/r+8
Answer:
r=-20/31
Step-by-step explanation:
1)divide the numbers
2) subtract 8 from both sides of the equation
A model of a skyscraper uses the scale of 2 inches = 45 feet. If the actual skyscraper is 992 feet tall, how tall is the model?
Answer:
44.08 or 44.1
Step-by-step explanation:
OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08
in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?
Answer:
Step-by-step explanation:
The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:
(remember that the word "of" generally means to multiply)
(also remember that we have to use the decimal form of a percent in an equation)
.40(x) = 1380 then divide to get the number of total workers:
x = 3450
Estimate the cost of 3.2 pounds of apples .The cost of 3.2 pounds of apples is about
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >
Answer:
112
Step-by-step explanation:
16 ounce multiply that by 7. 112. This correct i googed it
the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x
Answer:
L = 3x cm
Step-by-step explanation:
For this problem, let's consider the relation that is stated:
Length is 3 times as much as the width. The width is x cm.
Mathematically we can say the following:
L = 3W
W = x cm
So we can say the following about the length:
L = 3W
L = 3(x cm)
L = 3x cm
Cheers.
g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step
We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]
Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.
To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:
[tex]g'(x)=-8x+4[/tex]
To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have
[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]
So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.
[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]
Therefore, the maximum point [tex]M[/tex] of the function is
[tex]\boxed{M=(0.5,-1)}[/tex]
Glad to help! Wish you great studies.
If you found this helpful consider giving this answer brainliest ;)
WILL GIVE BRAINLYEST
Make an inequality in standard fom with two variables and explain a real world
Situation that may apply.
Explain how you would graph the inequality
Answer:
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
Step-by-step explanation:
Casey wants to buy a gym membership. One gym has a $176 joining fee and costs $29 per month. Another gym has no joining fee and costs $51 per month.
Part 1 out of 2
In how many months will both gym memberships cost the same? What will that cost be?
Answer:
8 months for cost to be same, cost will be $408
Step-by-step explanation:
x = months
176 + 29x = 0 + 51x
176 = 22x
8 = x
176 + (29*8) = 408
0 + (51*8) = 408
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answer:
60ft
Step-by-step explanation:
multiple the length by 2
15 times two equals 30
multiple the width by two
15 times two equals 30
add the total lengths and widths
30 plus 30 equals 60
ans=60
In last Quiz, Ahmed answered 24 out of 30 questions correctly. In this quiz he answered 20 out of 24 questions correctly. On which quiz did Ahmed have better results?
Answer:
He scored better on the second test by a margin of 3%.
Step-by-step explanation:
Find the percentage of each one by dividing Ahmed's score / Total possible score
24/30 = 0.8 > move the decimal place over twice for % > 80%
20/24 = 0.83333 > move the decimal place over twice for % > 83%
He scored 3% better on the second test.
A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?
Find the quotient: 6)27L 600 mL
Answer:
27*1000=27000ml
600ml
Now, 27000ml+600ml=27600ml
Step-by-step explanation:
Delta math needed!!!
Answer:
Parallel
Step-by-step explanation:
Slopes of the line
Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.
Answer: 4
Step-by-step explanation:
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
find the outlier. explain your answer.
Answer:
29
Step-by-step explanation:
the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong
PLEASEEEE HELP ASAPP!! 25 POINTS!!
Consider the given functions
which statement about the functions is true?
A) function 2 and 3 have the same y-intercept and the same rate of change
B) functions 2 and 3 are both increasing but function 3 is increasing at a faster rate
C)functions 1 and 3 are both decreasing but function 1 is decreasing at a slower rate
D) function 1 and 3 have the same rate of change but function 1 has a greater y-intercept
Answer:
the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5
Answer:
yep he is right
Step-by-step explanation:
what is the LCD of 1/3 and 1/4
Help mehhhhhh please!!!!!!!!!!!!
3x+y=-8
-2x-y=6
Find X and Y By Substituting
(-2,-2) is the answer .............
what is greater 9/3, 2 3/4
Answer:
9/3 is greater
Step-by-step explanation:
Convert it to decimals.
9/3=3
2 and 3/4= 2.75
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 ? x3 ? 72,000 dollars, selling how many items, x, will produce a maximum profit?.
Answer:
a. The number of units which will minimize average cost is approximately 5,130 units.
b. The firm should produce 12,500 items, x, for maximum profit.
c. The number of items, x, that will produce a maximum profit is 60 items.
Step-by-step explanation:
Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
The explanation to the answer is now given as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
Given;
C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)
We first simplify (0.02x + 6)^3 as follows:
(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)
First, we have:
(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36
Second, we have:
(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216
Therefore, we have:
C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)
C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200
Therefore, the average cost (AC) can be calculated as follows:
AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x
AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)
AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)
Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:
0.032x + 10.08 - (43,300 / x^2) = 0
0.032x + 10.08 = 43,300 / x^2
X^2 * 0.32x = 43,300 – 10.08
0.32x^3 = 43,189.92
x^3 = 43,189.92 / 0.32
x^3 = 134,968.50
x = 134,968.50^(1/3)
x = 51.30
Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:
x = 51.30 * 100 = 5,130
Therefore, the number of units which will minimize average cost is approximately 5,130 units.
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
P(x) = R(x) - C(x) ……………. (3)
Where;
P(x) = Profit = ?
R(x) = 450x-1/100x^2
C(x) = 500 + 200x
Substituting the equations into equation (3), we have:
P(x) = 450x - 1/100x^2 - (500 + 200x)
P(x) = 450x - 0.01x^2 - 500 - 200x
P(x) = 450x - 200x - 0.01x^2 - 500
P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)
Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:
250 - 0.02x = 0
250 = 0.02x
x = 250 / 0.02
x = 12,500 items
Therefore, the firm should produce 12,500 items, x, for maximum profit.
3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
Given;
P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)
Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:
3600 + 120x - 3x^2 = 0
Divide through by 3, we have:
1200 + 40x – x^2 = 0
1200 + 60x – 20x – x^2 = 0
60(20 + x) – x(20 + x) = 0
(60 – x)(20 + x) = 0
Therefore,
x = 60, or x = - 20
The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.
y = 6x + 11
2x - 3y = 7
Please answer a and b, I will give brainliest!!!!!
Answer:
b
Step-by-step explanation:
because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)
The least common denominator of 3/2 and 2/3 is
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Multiply the 2 denominators which gives you 6. P.S make sure to do cross multiplication for the numerator cause if the rest of the question asks for the full answer then you would get it wrong if you don't.
It has a fixed cost of $62,150. If the selling price per unit is $9.50 and the variable cost per unit is $6.25, the breakeven point is
Answer:
Break-even point = $19,123 (Approx)
Step-by-step explanation:
Given:
Fixed cost = $62,150
Selling price = $9.50
Variable cost = $6.25
Find:
Break-even point
Computation:
Break-even point = Fixed cost / [Selling price - Variable cost]
Break-even point = 62150/[9.50-6.25]
Break-even point = 62150/3.25
Break-even point = $19,123 (Approx)
8(7q+6p+11) please help me
Answer:
56p + 48q + 88
Step-by-step explanation:
When you see parentheses in math, it usually means that you are distributing (multiplying).
So here you would multiply everything inside the parentheses by 8.
7q x 8 = 56q
6p x 8 = 48p
8 x 11 = 88
56q + 48p + 88
There are no like terms here so the answer cannot be simplified any further.
Which solution would make this equation have infinitely many solutions?
A.-18
B.-9
C.9
D.18
Answer: -18
Step-by-step explanation: