9514 1404 393
Answer:
a) $800
b) $1050
c) D: [0, 250]; R: [800, 3300]
Step-by-step explanation:
a) The problem statement tells you the fixed cost is ...
C(0) = 800 . . . . dollars
__
b) The cost of making 25 items is ...
C(25) = 10·25 +800 = 250 +800 = 1050 . . . . dollars
__
c) You cannot make fewer than 0 items. The limit on cost means the most you can make is ...
3300 = 10x + 800
2500 = 10x
250 = x . . . . . . . . maximum number of items that can be made
So, the domain of the function -- the values of x to which it pertains -- is ...
0 ≤ x ≤ 250
In interval notation, this is [0, 250] . . . domain of C(x).
The range of C(x) is the set of cost values the function may have. We already know the minimum is 800. The problem statement tells us the maximum is 3300. The cost may have any value between those limits, so ...
800 ≤ C(x) ≤ 3300
In interval notation, this is [800, 3300] . . . range of C(x).
_____
Additional comment
Square brackets are used in interval notation when the "or equal to" case is part of the limit.
We could be more specific regarding domain and range, since the domain values are integers only, and the range values are multiples of 10 only. Here, we ignore that little detail.
give 5 each examples of acute angle
and obtuse angle
Answer:
acute (<90°): 2° 35° 47° 78° 89.5°
obtuse (>90°): 91° 180° 290° 110° 359°
What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.
speeeeeeeeeeeddddddddddddddddd (might give brainlest
Answer:
6
Step-by-step explanation:
6 times 6 is 36 and the formula for area is
lxw(Length times width)
Gavin and his friends want to share 1/3 of a cake equally. Gavin says that each friends will get 1/9 of the cake. Use the drop-down menus to explain whether or not Gavin is correct.
Answer:
Step-by-step explanation:
I put incorrect
Second box is 4
And third box is 4
And fourth box is 1/12
Answer:
Gavin is correct
Step-by-step explanation:
2 box is 3
3 box is 1/3
So the answer is 1/9
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
What is the volume, in cubic cm, of a cube with an edge length of 9cm?
Answer:
729 cm^3
Step-by-step explanation:
Delta math
which expression represents the value of pi?
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
2+3
For what value of a does
9
(3)"
?
-
73
3
1
Answer:
3
Step-by-step explanation:
3 × 3 = 9
( 3 + 3 + 3 = 9 )
______________________________________
Which of the following is equivalent to 24/80
Answer:
0.3
Step-by-step explanation:
Find The length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14 feet. Leave your answer as a simplified radical.
Answer:
a = 8√2
Step-by-step explanation:
a² + b² = c²
a² +14² = 18²
a² + 196 = 324
Subtract 196 from both side
a² = 128
Take the square root of both sides
a = √128
a = √(64 * 2)
a = 8√2
What is the value of x
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
20. If x=2a+3b and y = 20-3b, find (x+y)(x-y).
Answer:
i think 38
Step-by-step explanation:
help me! the answer is not unit
24-67-88+77-77+78-55+888
Answer:
780
Step-by-step explanation:
24 - 67 = - 43
- 43 - 88 = - 131
- 131 + 77 - 77 = - 131
- 131 + 78 = - 53
- 53 - 55 = - 108
- 108 + 888 = 780
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
The sum of two numbers is 32. One number is 10 more than the other. Find the numbers
Answer:
12 and 10
Step-by-step explanation:
Answer:
11 and 21
Step-by-step explanation:
Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:
x + x + 10 = 32
2x + 10 = 32
2x = 22
x = 11
If the first number 11, the second number is 10 more, and therefore is 21.
find the value of using property of 3295×999+3295 Solution
Answer:
3295000
Step-by-step explanation:
3295×999+3295
3295 * 999 = 3291705
3295×999+3295
3295 * 999 + 3295
3291705 + 3295 = 3295000
Simplify (5m - 4)2 using the square of a binomial formula.
A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4
Answer:
[tex]25m^{2} -40m+16[/tex]
Step-by-step explanation:
Rewrite (5m−4)^2 as (5m−4)(5m−4).
Expand (5m−4)(5m−4) using the FOIL Method.
[tex]25m^{2} -40m+16[/tex]
Amplitude and Period
Determine the amplitude of the function y = sin x from the graph shown below:
a. 2
b. 1
c. 3
d. 4
Please select the best answer from the choices provided
Answer:
A. 2
Step-by-step explanation:
I calculated it logically
Find the solution to the system of equations y=1/2x +1, y= -x-2
Answer:
answer is (1,0)
Step-by-step explanation:
6x + 11y = -3
4x + y = 17
what is the y coordinate?
Answer: Y = -3 and for x = 5
Step-by-step explanation:
You would get this because when you multiply 6 by 5 you get 30 then you multiply 11 by -3 and you get -33 then you add both and -3 then that’s how you find for the value y and can please mark brainly if you do thx and have a good day
Anyone helps??
Mr. Cruz has 60 students. 24 are taking Math, 15 are taking Biology, and 31 are taking neither.
How many students are taking both, Math and Biology.
Answer:
39
Step-by-step explanation:
24+15= 39. 39 students are taking both math and biology.
12 hrs 40 min + 10 hrs 30 min
Answer:
23 hours and 10 minutes
The point (8, 7) is reflected over the x-axis. What quadrant is the new point located in? A. Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV
Answer:
.quadrant 4 is the new point locatef
Need help!!!!!!!!!!!! Struggling
A = 28.26 sq yds
Step-by-step explanation:
diameter (D) = 6 yds
radius (r) = D/2 = 3 yds
A = πr^2
= (3.14)(3 yds)^2
= 28.26 sq. yds
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Which equation has a graph that lies entirely above the x-axis?
Answer: c
Step-by-step explanation:
y=(x-7)^2+7
Use the integers that are closest to the number in the middle. √32
Answer:
4√2
Step-by-step explanation:
√32 = √(16 * 2) = 4√2