Answer:
the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Step-by-step explanation:
if there is no mistake in the problem description, I read the following function :
C(x) = y = 0.3x² - 1.2x + 2
I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.
the first derivative of C(x) is
0.6x - 1.2 = y'
0.6x - 1.2 = 0
0.6x = 1.2
x = 2
C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8
so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
HELPPPP, which expression is it?
Answer: D
Step-by-step explanation:
formula=V=(π)r2h
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?
Solve each of the following:
a) x² + 4x – 77 = 0
b) x(x + 4) = -2(3x + 8)
Please show your work
Answer:
a.) x=7 or x=-11
b.) x=−2 or x=−8
Step-by-step explanation:
a) x² + 4x – 77 = 0
Step 1: Factor left side of equation.
(x−7)(x+11)=0
Step 2: Set factors equal to 0.
x−7=0 or x+11=0
x=7 or x=−11
b.) x(x + 4) = -2(3x + 8)
Step 1: Simplify both sides of the equation.
x^2+4x=−6x−16
Step 2: Subtract -6x-16 from both sides.
x^2+4x−(−6x−16)=−6x−16−(−6x−16)
x^2+10x+16=0
Step 3: Factor left side of equation.
(x+2)(x+8)=0
Step 4: Set factors equal to 0.
x+2=0 or x+8=0
x=−2 or x=−8
Answer:
a) {-11, 7}.
b) {-8, -2}
Step-by-step explanation:
a) x^2 + 4x - 77 = 0
To factor this we need 2 numbers whose product is -77 and sum is + 4.
They are + 11 and - 7, so:
( x + 11)(x - 7) = 0
x + 11 = 0 or x - 7 = 0
x = -11, 7.
b) x(x + 4) = -2(3x + 8)
x^2 + 4x = -6x - 16
x^2 + 4x + 6x + 16 = 0
x^2 + 10x + 16 = 0
(x + 2)(x + 8) = 0
x = -8, -2.
On a tuesday a magician said i made my wife disappear 31 days ago what day of the week did he make her disappear
Answer:
Saturday.
Step-by-step explanation:
To answer the above question, we must recognise that Tuesday appears once every 7 days.
If today is Tuesday, 31 days ago will be obtained as follow:
31/7 = 4 remainder 3
Thus
31 = (7 × 4) + 3
31 = (28) + 3
Thus, the 28th day is Tuesday. If we count 3 days back from Tuesday, the day will be Saturday.
Therefore, the magician made his wife disappear on Saturday.
Please help its my last question
Answer:
Vertical angles
Step-by-step explanation:
A and C are formed by the same lines and are opposite. A and C are vertical angles
please help with these two questions!!
6√5 + 3√6 = 6√5 + 3√6 [cannot be simplified]
; roots do not contain any perfect squares, and the roots are not similar.
6√5(3√6) = 18√30 [can be simplified]
; although roots do not contain any perfect squares, the product rule can be applied to create a singular expression.
Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveling, the conversion rate was represented by the function , where n is the number of dollars and E(n) is the equivalent value in euros. Later, she traveled to Dubai and converted her remaining euros into the local currency, UAE dirhams. At that time, the conversion rate was represented by the function , where x is the number of euros and D(x) is the equivalent value in dirhams. Which function can be used to convert n dollars directly to dirhams?
The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars
The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros
We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n
According to this the following statement is true:
A) (D x E)(n) = 5.10(0.72n)
What is the solution to the equation?
3 + V3x – 5= x
Answer: (D) 7
Step-by-step explanation:
HURRY PLEASEE!!!! TAKING AN EXAM !! AND ITS TIMED!!! WILL GIVE BRAINLIEST!!
which rule represents the translation from the pre image ∆abc to ∆a'b'c'?
(x,y)-->(x+7,y+6)
(x,y)-->(x+7,y-6)
(x,y)-->(x-6,y+7)
(x,y)-->(x+6,y+7)
Answer:
B (x+7, y-6)
Step-by-step explanation:
It goes right 7 and down 6
Answer:
(x,y) --> (x+7, y-6)
Step-by-step explanation:
Good luck with your exam! :DD
An exam starts at 10:10 and lasts for 75 minutes what time does the exam end pls help i will give brainliest
Given:
An exam starts at 10:10 and lasts for 75 minutes.
To find:
The time when the exam end.
Solution:
We have,
Starting time = 10:10
Exam duration = 75 minutes
First we will divide the 75 minutes in two parts 50 minutes and 25 minutes.
We know that 50 minutes after 10:10 is 11:00 and 25 minutes after 11:00 is 11:25. So,
10:10 + 75 minutes = 10:10 + 50 minutes +25 minutes)
= (10:10 + 50 minutes) +25 minutes
= 11:00 +25 minutes
= 11:25
Therefore, the exam ends at 11:25.
HELPASAP (15 points)
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
which of the following equations is not a function?
a.) 5y^2 = x
b.) 1/2y + 9 = x^2 + 2x + 1
c.) y = 1/2x + 9
d.) 8x + 4y = 0
Ilhan needs to write in function notation and evaluate this equation at the given value of the
independent variable. What answer should she get? 6x + y = 3; x=3
Answer:
it should be the second one I hope this help
Can you answer this math homework? Please!
Answer:
Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9
=> 2.3 X - 1.8 X = 3.1 - 1.9
=> 0.5 X = 1.2
=> x = 1.2/0.5 = 2.4
Time = 2.4 weeks
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
plzzz helppp only a hour due today
Answer:
A or C
Is my best I got stuck A or C
Answer:
[tex]\text{C. about }72.05\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
This is a very fun problem that requires the use of multiple concepts to solve.
Concepts/formulas used:
The measure of an inscribed angle is half the measure of the arc it formsThere are 360 degrees in a circleThe sum of the interior angles of a triangle add up to 180 degreesLaw of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] All radii of a circle are exactly half all diameters of the circleThe area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]The measure of an inscribed angle is equal to half the measure of the arc it forms. In circle Z, [tex]\angle XVY[/tex] is an inscribed angle that forms arc XY. Since XY is 40 degrees, angle XVY must be [tex]40\div 2=20^{\circ}[/tex].
Similarly, [tex]\angle VYX[/tex] is also an inscribed angle and forms arc XV. Notice how arc XY and arc XV form arc VY, which is half the circumference of the circle, since segment VY is a diameter of the circle. Since there are 360 degrees in a circle, arc VY must be 180 degrees. Therefore, we have:
[tex]\widehat{XY}+\widehat{XV}=180^{\circ},\\\widehat{XV}+40^{\circ}=180^{\circ},\\\widehat{XV}=140^{\circ}[/tex]
Now we can find the measure of angle VYX, using our knowledge that the measure of an inscribed angle is half the measure of the arc it forms.
[tex]m\angle VYX=\frac{140}{2}=70^{\circ}[/tex]
Now, we have two angles of triangle VXY. Since the sum of the interior angles of a triangle add up to 180 degrees, the third angle, [tex]\angle VXY[/tex], can be found:
[tex]\angle VXY+\angle VYX+\angle XVY=180^{\circ},\\\angle VXY+20^{\circ}+70^{\circ}=180^{\circ},\\\angle VXY+90^{\circ}=180^{\circ},\\\angle VXY=90^{\circ}[/tex]
We can now use this angle and the Law of Sines to find the length of segment VY. The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is maintained throughout all angles of the triangle).
Since angle VXY's opposite side is VY and angle VYX's opposite side is VX, we have the following proportion:
[tex]\frac{\sin 70^{\circ}}{9}=\frac{\sin 90^{\circ}}{VY}[/tex]
Recall that [tex]\sin 90^{\circ}=1[/tex]. Cross-multiply:
[tex]9\sin 90^{\circ}=VY\sin 70^{\circ},\\9=VY\sin 70^{\circ},\\VY=\frac{9}{\sin 70^{\circ}}[/tex]
This is the diameter of the circle. By definition, all radii are half the diameter. Therefore, the radius of the circle is [tex]\frac{9}{\sin 70^{\circ}}\cdot \frac{1}{2}=\frac{9}{2\sin 70^{\circ}}[/tex].
The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. Substitute [tex]r=\frac{9}{2\sin 70^{\circ}}[/tex] to get the area of circle Z:
[tex]A=(\frac{9}{2\sin 70^{\circ}})^2\pi,\\A\approx (4.78879997614)^2\pi,\\A\approx 22.9326052115\pi,\\A\approx \boxed{72.05\:\mathrm{cm^2}}[/tex]
If p varies inversely as q and p =8 when q=10,find p when q=4
Answer:
20
Step-by-step explanation:
When two numbers vary inversely, they always multiply to the same product, in this case, it is 80, because it is 8 x 10(product of two known values of p and q). This means, for q = 4, we can write:
p * 4 = 80
This means that p is equal to 20.
The value of p is 20 when q=4
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
When two numbers vary inversely, then the will always multiply to the same product,
Here it is 80, because it is 8 x 10
Then product of two known values of p and q).
This means, for q = 4, we can write:
p x 4 = 80
This means that p is 20.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
2/3 of a number is 11 work out half the number
Answer:
33/4
Step-by-step explanation:
Let n = number
2/3 * n = 11
Multiply each side by 3/2
3/2 * 2/3 n = 11 * 3/2
n = 33/2
We want to find 1/2 of n
1/2 * 33/2 = 33/4
The table shows the prices of different containers of hot sauce.
A 2-column table with 4 rows. Column 1 is labeled Container size with entries 2 ounces, 5 ounces, 12 ounces, 30 ounces. Column 2 is labeled Price with entries 1 dollar and 99 cents, 3 dollars and 95 cents, 8 dollars and 76 cents, 20 dollars and 40 cents.
A chef needs 60 oz of hot pepper sauce.
Which container size represents the better buy?
Answer:
the best buy would be 2 cans of 30 ounces for $40.80
Step-by-step explanation:
why well first you take your amount of ounces needed so 60 then you take every option and divide it and after you divide you multiply by the price of every can so 60/2 is 30 so that means you have to get 30 cans of 2 oz, the you take 30 and multiply by the price so essentially every 2 oz can is $1.99 so take that into account and you do 30 cans x 1.99 = $59.70 so for 30 cans of 2 oz it will be $59.70 the you do the same for the rest so 60/5=12 then 12x3.95= $47.40, 60/12= 5 so 5x8.76= $43.80 and lastly 60/30=2 so 2x 20.40= $40.80 so now you know which one costs less
Solve the following inequality: |x + 1| <_3
<_ = greater than or equal to
Answer:
x <= -4 or x >= 2
Step-by-step explanation:
so, it actually says
|x+1| >= 3
so, then, this is valid for all x >= 2 (then x+1 is 3 or higher), and for all x <= -4 (then x+1 is -3 or lower, and |x+1| is still 3 or higher)
A 4.0kg brick is sliding on a surface. The coefficient of kinetic friction between the surfaces is 0.25. What is the size of the force of friction?
a. ON b. 1 N
c. 10 N
d. 4 N
Answer:
Choice C. 10N
Step-by-step explanation:
[tex]F_{k} =U_{k} *F_{N}\\F_{k} =.25*[(4kg*10m/s2)] : [40N][/tex]
[tex]F_{k} =10N[/tex]
What is the tangent ratio of angle B?
a. tan= BC/AB
b. tan= AC/AB
c. tan= AC/BC
d. tan= BC/AC
Answer:
C
Step-by-step explanation:
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] → C
Solve the inequality and write the solution in interval notation:
x-6/x+5 <0
(-5, 6)
[-5, 6)
(-infinity,-5) U [6,infinity)
(-infinity,-5] U (6,infinity)
Answer:
A
Step-by-step explanation:
Firstly x cannot be -5 because the expression on th left would be undefined so it's only between choices a and c.
Create a number line with makes the expression on left 0 and undefined...so at 6 and -5 this happens.
-------(-5)--------(6)---------
Let's test the 3 intervals by choosing a value from that interval to see if all numbers from that interval will make the expression on left less than 0.
Number before -5 is -6:
(-6-6)/(-6+5)=-12/-1=12 >0 so this interval is not a part of our solution.
Number between -5 and 6 is 0:
(0-6)/(0+5)=-6/5<0 so this interval is a part of our solution
Number after 6 like 7:
(7-6)/(7+5)=1/12>0 so this interval is not a part of our solution.
The winner is everything between-5 and 6 so answer is A.
50 POINTS PLEASE HELP
Given the list of measures of EXTERIOR angles (missing one) of a polygon, find the missing angle:
a. ___, 92°, 28°, 55°, 75°, 55°
b. ___, 71°, 69°, 40°, 62°
c. ___, 120°, 38°, 80°
d. ___, 90°, 60°, 40°, 30°, 60°, 30°
Answer:
Step-by-step explanation:
The measures of the exterior angles of all polygons add up to 360. So all we have to do is subtract the given values from 360 and we will have the missing angle.
a. 55
b. 118
c. 122
d. 50
Instructions: Find the missing side. Round your answer to the nearest tenth.
36
Х
71°
Answer:
x = 12.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 71 = 36/x
x tan 71 = 36
x = 36/tan 71
x=12.39579
To the nearest tenth
x = 12.4
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
12. (05.02 LC) Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 over q and tan y° = 7 over r, what is the value of sec y°? (4 points) sec y° = q over r sec y° = 7r sec y° = 7q sec y° = r over q
Answer:
[tex]sec~y=\frac{q}{r}[/tex]
Step-by-step explanation:
[tex]tan ~y=\frac{7}{r} \\\\\frac{sin~y}{cos~y} =\frac{7}{r} \\\\sin~y=\frac{7}{r} cos~y\\sin ~y=\frac{7}{q} \\\frac{7}{q} =\frac{7}{r} cos~y\\sec~y=\frac{7}{r} \times \frac{q}{7} =\frac{q}{r}[/tex]
The tangent is equal to the product of the sine and secant. The value of sec y is q over r, then the correct option is A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
If sin y = 7/q and tan y = 7/r.
Then the value of sec y will be
We know that the identity
[tex]\sec x =\dfrac{\tan x}{\sin x}[/tex]
Then we have
[tex]\rm \sec y = \dfrac{7/r}{7/q} \\\\\\\sec y = \dfrac{q}{r}[/tex]
The value of sec y is q over r.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
simplify the following
[tex]simplify \: the \: follwing \: \\ logx \: x9[/tex]
please I need help
Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = nlogx
[tex]log_{b}[/tex] b = 1
Then
[tex]log_{x}[/tex] [tex]x^{9}[/tex]
= 9[tex]log_{x}[/tex] x
= 9
What is the domain of the function y=2/3 + x?
Find the value of the expression 8x^3 if x= -2
Answer:
-64
Step-by-step explanation:
8x^3
Let x = -2
8 (-2)^3
8 * -8
-64
Answer:
−4096
Step-by-step explanation:
desmos
i’ve came so far and i’m almost there.. please help!!
Answer:
m = -1/3
Step-by-step explanation:
To get the slope of the line, we identify two points on the line and use the slope formula
We can have the points (-2,3) and (1,2)
We have the slope formula as;
m = (y2-y1)/(x2-x1)
m = (2-3)/(1 + 2) = -1/3
