Answer:
$732
Step-by-step explanation:
Given
[tex]y \to profit[/tex]
[tex]x \to widgets[/tex]
[tex]y = -x^2 + 64x - 292[/tex]
Required
The maximum profit
First, we calculate the maximum amount of widgets that can be sold using:
[tex]x = -\frac{b}{2a}[/tex]
Where:
[tex]a = -1; b = 64; x = -292[/tex]
So, we have:
[tex]x = -\frac{64}{2 * -1}[/tex]
[tex]x = -\frac{64}{-2}[/tex]
[tex]x = -(-32)[/tex]
[tex]x = 32[/tex]
The maximum profit is:
[tex]y = -x^2 + 64x - 292[/tex]
[tex]y = -(32)^2 + 64 * 32 - 292[/tex]
Using a calculator, we have:
[tex]y = 732[/tex]
Evaluate the limit 12n^3 - 2n^2 + 9 / 4n^3
Answer:
3
Step-by-step explanation:
Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3
Divide the expression by the highest power of n to have
limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³
= limit n - > ∞12 - 2/n + 9/n³ / 4
Substitute the value of n
= 12 - 2/∞ + 9/∞³ / 4
Since a/∞ = 0
The expression becomes;
= 12 - 0+ 0/4
= 12/4
= 3
Hence the required limit is 3
Find the quotient: 2 2/3 ÷ 3 1/4
Answer:
2/9
Step-by-step explanation:
convert mixed number to improper fraction
8/3÷3 1/4
dividing is equivalent to multiplying by the reciprocal
8/3×1/3×1/4
reduce the numbers with the greatest common factor 4
2/3×1/3
multiply the fraction
2/3×1/3=2/9
2/9 is your answer
What is the solution of log(2+ + 4) = log(14.- 3c)?
Answer:
C. 2
Step-by-step explanation:
Cancel log from both sides,
2t + 4 = 14 - 3t
5t = 10
t = 2
find the value of x if the area is 135 square inches
Answer:
x=9
Step-by-step explanation:
This equation, in my use, is more of a guess-and-check. I noticed 15 divides nicely into 135 and then punched that into my calculator. 135/15 = 9. And when you add 9 and 6 together, it makes 15. Therefore, x must equal 9.
in the diagram below ,find the value angle of the angle marked BCD.
Answer:
55°
Step-by-step explanation:
In triangle BAC, angle C =
180° - 90° - 70°
Angle C = 20°
In triangle DAB, angle C =
180° - 90° - 55°
Angle C = 35°
Add both angles
20° + 35° = 55°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x
9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
__
Additional comment
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Write the standard equation of the circle with center (1,2) and radius of 2
Answer:
(x – h)2+ (y – k)2 = r2
Step-by-step explanation:
Jeremy was saving $8 per week.
How many weeks would it take him to save $124?
set n as the value of weeks jeremey needs to save
so jeremy needs to save 8n = 128
so n =[tex]\frac{128}{8}[/tex] = 16 weeks
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
Please help. Will give brainliest
Answer:
use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question
Step-by-step explanation:
Find the length of the missing side.
14.5 m
7.3 m
X
Answer:
x= 12.528
*rounded is 12.53 or 12.5
Step-by-step explanation:
7.3 ^2 + x^2 = 14.5^2
53.29 + x^2 = 210.25
-53.29 -53.29
x^2= 156.96
x= 12.528
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of 1 and a number.
Answer:
2(1 - x)
Step-by-step explanation:
Twice the difference of 1 and a number
a number = x
The difference of 1 and a number is expressed as :
1 - x
Twice this difference, means the difference of (1-x) multiplied by 2
2 * (1 - x) = 2(1 - x)
At 7 p.m the temperature was 15 F in the next 2 hours, the temperature fell 15F
Select all true statement based on the the above information.
A. The temperature was 30 F at 9 pm
B.The temperature was 0 F at 9 pm
C. The change in temperature from 7 PM to 9 PM is represented by -15
D. The change in temperature from 7 PM to 9 PM is represented by 15.
E. The expression 15+( -15) represents the temperature change
F. The expression 15+15 represents the temperature change
Answer:
The answer is 0
Step-by-step explanation:
Because if the tempurature was 15 and it dropped 15 = 0°
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer:
.070
Step-by-step explanation:
Answer:
0.94
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
one of the nine questions
Answer:
TanA=8/15
SinA=8/17
CosA=15/17
Step-by-step explanation:
please help i will mark brainlist
Answer:
504
Step-by-step explanation:
Answer:1683 (bro that’s a lot of money for some fence)
Step-by-step explanation:11x17x9=1683 brainlyest plz plz I need it for my rank
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. How many inches did the corn plant grow during Week 2?
Answer:
The corn plant grew by 11.17 inches during week 2.
Step-by-step explanation:
7 and 1/3 inches tall at the end of Week 1.
The height at the end of week 1, as a simple fraction, is:
[tex]7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}[/tex]
The corn plant was 18 1/2 inches tall at the end of Week 2.
At the end of week 2, the height will be of:
[tex]18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}[/tex]
How many inches did the corn plant grow during Week 2?
Height at the end of week 2 subtracted by the height at the end of week 1. So
[tex]\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17[/tex]
The corn plant grew by 11.17 inches during week 2.
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
Answer:
Jocelyn's plane travelled 3650 miles.
Step-by-step explanation:
mph stands for miles per hour.
Let's set up an equation.
total miles = speed(hours)
Jocelyn's plane travelled 500 mph for 7.3 hours.
total miles = 500(7.3)
Multiply.
total miles = 3650
Jocelyn's plane travelled 3650 miles.
Hope this helps!
Someone help me solve these two please !!
Answer:
5 is 2,1 and 6 is -1,3
Step-by-step explanation:
hsjskwjssjsbabbwbwbsbs is this 20 character long now!!!
Answer:
Step-by-step explanation:
Remember the that the right side is positive and left side is negative so your starting at the midpoint i dont know how to explain it in words but look up some videos. its rise over run so for the left image u rise up 1 and u go over 2 so it will be 1 over 2 meaning 1/2. for the image on the right you go to the left(run) which is negative so its -1 up 3 cause u rise 3! its -1/3 i know its not the best explaining but I hope this helps!
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Those are they only numbers that aren't equal to or less than the third side.
The Sine Function
Interpret the following sine regression model.
y = 0.884 sin(0.245 x - 1.093) + 0.400
What is the value of A in this equation?
a. 0.400
b. 1.093
c. 0.245
d. 0.884
Please select the best answer from choices provided
Answer:
D. 0.884
Step-by-step explanation:
I calculated it logically
The value of the amplitude is 0.884, so the correct option is d.
How to get the value of A?The amplitude is the coefficient that multiplies the sine function.
In this case, the function is:
y = 0.884*sin(0.245*x - 1.093) + 0.400
Comparing this with the general sine equation, you can see that the amplitude is equal to 0.884, so the correct option is d.
If you want to learn more about sine, you can read:
https://brainly.com/question/18055768
Help jkdkdodjdjdjjsidjdkdkdjnddijdkdjsidjdndkxjkdodjdkdkdkdk it had to be 20 characters long
Answer:
part 1. -1 1/2
part 2. On letter A
Explanation:
D=0
B=-1
C=-1/2
-1 + -1/2= -1 1/2
Answer:
-1 1/2
Step-by-step explanation:
B is -1
C is -1/2
D is 0
-1 + (-1/2) = -1 1/2
PLEASE ANSWER WHOEVER ANSWERS CORRECT I WILL GIVE 60 POINTS! Graph using as many points as needed y=|x-3|+5
Answer:
---
Step-by-step explanation:
hope it helps
Answer:
Transition:
1) The vertex point moves 3 steps to the right
2) Then, it goes up 5 steps
This equation is positive so the graph will face upwards.
The vertex will end up as: (3, 5)
The two other points will be:
Point 1 - (2,6)
Point 2 - (4,6)
The value of a car that depreciates over time can be modeled by the function
M(t) = 18000(0.8)^3t. Write an equivalent function of the form M(t) = ab^t.
Answer:
t=0
Step-by-step explanation:
What is got was 0
This figure shows the dimensions of the tent Anderson wants to
buy
What is the volume of the tent?
131
Enter your answer in the box
V=__
Answer:
131
Step-by-step explanation:TRUST ME IT IS RIGHT
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
PLEASE HELP I DON'T KNOW
Answer:
radius
Step-by-step explanation:
Answer:
It is the radius
Step-by-step explanation:
Gary has 4 pencils 12 markers and 24 crayons, what is the ratio of pencils?
Answer:
1:10 [simplified from 4:40)
Step-by-step explanation:
4 pencils+ 12 marker+ 24 crayons=40
4 pencils: 40 items
1 pencil : 10 items
i dunno if this was right but there you gooo lol</3
A sporting goods store has shoes on sale for 20% off the regular price. Brantley finds a pair of shoes with a regular price of $35. He wants to know the sale price of the shoes. 0) Drag the given information into the table to represent the problem. Regular Price % $ Sale Price Discount % % S $ $35 $ ? 20%
Answer:
$28
Step-by-step explanation:
Given that :
Regular price = $35
Discount = 20%
Sale price = Regular price - Discount on sale
Discount on sale = 20% * regular price
Discount on sale = 0.2 * $35 = $7
Sale price = $35 - $7 = $28
Answer:
Regular price is 35 and discount is 20% and sale price is ?
Regular price is 35 and the discount is 7 and the sale price is 28
Step-by-step explanation:
I did the I-ready already
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
