Answer:
5 it's easy yshsghsjssjhebdhdhd
Answer:
so do 2+2 = 4.......................
A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100
S(C) = 1.4C
What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?
C(S(x)) = –0.196x2 + 100; $108.64
C(S(x)) = –0.196x2 + 100; $55.90
S(C(x)) = –0.14x2 + 140; $144.41
S(C(x)) = –0.14x2 + 140; $108.50
Answer:
D
Step-by-step explanation:
Answer:
D-S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
Help with 50-52 pleaseeeee ASAP
Answer: -2
Step-by-step explanation:
Flip the equation around and subtract 52-50.
The answer will be 2 so put a negative sign in front since the larger number is being subtracted.
(sorry if this explanation sucks i'm not that good at explaining things)
PhD’s in Engineering. The National Science Foundation reports that 70% of the U.S. graduate students who earn PhD degrees in engineering are foreign nationals. Consider the number Y of foreign students in a random sample of 25 engineering students who recently earned their PhD.a) Find the probability that there are exactly 10 foreign students in your sample – use equation for thisb) Find the probability that there are less than or equal to 5 foreign students in your sample andc) Find the mean and standard deviation for Y
Answer:
a) P(Y=10)=0.0013
b) P(Y≤5)=0.00000035
c) Mean = 17.5
S.D. = 2.29
Step-by-step explanation:
We can model this as a binomial random variable with n=25 and p=0.7.
The probability that k students from the sample are foreign students can be calculated as:
\(P(y=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(y=k) = \dbinom{25}{k} 0.7^{k} 0.3^{25-k}\\\\\\\)
a) Then, for Y=10, the probability is:
\(P(y=10) = \dbinom{25}{10} p^{10}(1-p)^{15}=3268760*0.0282475249*0.0000000143\\\\\\P(y=10)=0.0013\\\\\\\)
b) We have to calculate the probability P(Y≤5)
\(P(y\leq5)=P(Y=0)+P(Y=1)+...+P(Y=5)\\\\\\P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0=0\\\\\\P(y=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.7*0=0\\\\\\P(y=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.49*0=0.0000000001\\\\\\P(y=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.343*0=0.0000000025\\\\\\P(y=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.2401*0=0.0000000318\\\\\\P(y=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.16807*0=0.0000003114\\\\\\\\\)
\(P(y\leq5)=0+0+0.0000000001+0.0000000025+0.0000000318+0.00000031\\\\P(y\leq5)= 0.00000035\)
c) The mean and standard deviation for this binomial distribution can be calculated as:
\(\mu=np=25\cdot 0.7=17.5\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot0.7\cdot0.3}=\sqrt{5.25}=2.29\)
ind the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x3, y = 4x, x20; about the x-axis
The Volume of the solid formed by the curves y = 4x³ , y = 4x, x ≥ 0 ; about the x axis is 64π/21 .
In the question ,
it is given that ,
the given curves are y = 4x³ , y = 4x, x ≥ 0 ,
we have to find the volume about x axis ,
the region formed by the given curves about x axis is shown below in the figure .
So , the Volume of the required region is
V = \(\int\limits^1_0 {\pi [(4x)^{2} - (4x^{3} )^{2} }] \, dx\)
On simplification ,
we get ,
V = \(\pi \int\limits^1_0 { [16x^{2} - 16x^{6} }] \, dx\)
V = π[ x³/3 - x⁷/7 ]¹₀
= 16π( 1/3 - 1/7 - 0 - 0)
= 16π((7 - 3)/21)
= 64π/21
Therefore , the required Volume is 64π/21 .
The given question is incomplete , the complete question is
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x³ , y = 4x, x ≥ 0 ; about the x-axis .
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x + y + z = 9
2x + 3y + z = 16
3x - 4y + 2z = 1
Subtract 2(first equation) from the second, and 3(first equation) from the third to eliminate x :
(2x + 3y + z) - 2(x + y + z) = 16 - 2*9
y - z = -2
(3x - 4y + 2z) - 3(x + y + z) = 1 - 3*9
-7y - z = -26
Now subtract either equation with y and z from the other to eliminate z. If we take the first from the second, we get
(-7y - z) - (y - z) = -26 - (-2)
-8y = -24
y = 3
Then
y - z = 3 - z = -2
z = 5
And lastly,
x + y + z = x + 3 + 5 = 9
x = 1
A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to
total cost.
Packages of Batteries
Which package offers the best deal?
Answer:
3 for $8
Step-by-step explanation:
Firstly, 3 for $8 is much better than 5 for $8. Same for 12 for $24 being better than 14 for $24, because it's the same price for a different amount. Now we multiply 3 for $8 by 3, to get 9 for $24, which is better than 12 for $24, so the answer is 3 for $8
Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The algebraic expression that represents the total cost would be: A. 1.25r.
How to Write an Algebraic Expression?Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:
cost of each donut = $1.25.
Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.
Thus:
1 donut = 1.25
r donuts would cost: 1.25 × r = 1.25r.
Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.
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Jin has a collection of 60 movies. Twenty-four of the movies are animated movies. What percent of Jin’s movie collection are animated movies?
Answer:
Uh, 2400%, I think? I think my answer might be incorrect
The sixth-grade class is going to the local art museum. There are 46 students in the class. The total cost of the tickets for all the students is $379.50. What is the cost of one student ticket?
Each ticket cost $8.25
Step-by-step explanation:
Divide 379.50 by 46 to get 8.25
379.50/36=8.25
Double check
8.26 x 46 = 379.50
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Please help really urgent
Answer:
0.0909
Step-by-step explanation:
4 blue + 5 red + 3 black = 12 chips in total.
p=probability
1st draw:
p (blue) = 4/12
there are now 11 chips in the bag, 4-1 =3 are blue.
2nd draw?
p (blue) = 3/11
probability of pulling one blue chip followed by another blue chip is:
(4/12) X (3/11) = (4X3)/12X11)
= (12)/(132)
= 1/11
0.0909
Please I need help *just the answer*
The triangles are not similar, because corresponding sides are not proportional.
Lloyd made 3 1/2 pounds of potatoes he added 4 ounces of butter how many 6-ounce servings did Lloyd make
The number of 6-ounce servings Lloyd made is 4
How to determine the number of 6-ounce servings Lloyd made?The given parameters are:
Potatoes = 3 1/2 pounds
Butter = 4 ounces
Convert pounds to ounces
So, we have:
Potatoes = 3 1/2 * 6 ounces
Evaluate the product
Potatoes = 21 ounces
The total ounces is
Total = Potato + Butter
This gives
Total = 21 ounces + 4 ounces
Evaluate the sum
Total = 25 ounces
The number of 6-ounce servings Lloyd made is
Number = 25/6
Evaluate
Number = 4.17
Remove decimal
Number = 4
Hence, the number of 6-ounce servings Lloyd made is 4
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What is the product of 1.2 and 0.6
Answer:
.72
Step-by-step explanation:
simple multiplication
Select all equations where r=3 is a solution
R-3=0
1+ r = 2
9- r = 3
1/5r = 3
R2= 9
Answer:
the first equation
Step-by-step explanation:
Solve: 9x^2-49=0
A. -9/49, 9/49
B. -49/9, 49/9
C. -3/7, 3/7
D. -7/3, 7/3
Answer:
D. -7/3, 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
9x² - 49 = 0
Step 2: Solve for x
[Addition Property of Equality] Isolate x term: 9x² = 49[Division Property of Equality] Isolate x term: x² = 49/9[Equality Property] Isolate x: x = ±7/3I did this question (5 a) on sketching transformations, but when I graphed it it was incorrect. What did I do wrong?
- 3 is for vertical displacement sis.
( Sorry about my bad graphing and bad quality of the pic )
If the width of a rectangular prism is doubled, the length is tripled, and the height is doubled, what is the volume of the resulting rectangular prism? A. double the original volumeB. six times the original volumeC. twelve times the original volumeD. triple the original volume
Consider a rectangular prism with length l, width w and height h;
Volume of rectangular prism = Length x width x height
\(\text{Volume of the rectangular prism =lwh}\)Now, it is given that, If the width of a rectangular prism is doubled;
new width = 2w
the length is tripled, i,e
New length = 3l
The height is doubled i.e,
New height = 2h
The volume of the rectangular prism is;
\(\begin{gathered} \text{Volume of new prism = length }\times\text{width }\times\text{ height} \\ \text{Volume of new prism =3l}\times2w\times2h \\ \text{Volume of new prism =}3\times2\times2lwh \\ \text{Volume of new prism =}12\text{lwh} \end{gathered}\)Since, volume of original prism is lwh
Thus,
\(\begin{gathered} \text{Volume of new prism =}12\text{lwh} \\ \text{Volume of new prism =}12\text{Volume of original prism} \end{gathered}\)Thus, the resulting volume of the prism is twelve times the original volume
Answer : C) twelve times the original volume
A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
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Your friend has a bag of marbles. Your friend says that there is a 100% chance that you pick out a red marble and a 0% chance that you pick a green one.
What can you conclude about the colors of the marbles inside of your friend's bag?
Can you determine exactly how many marbles are in the bag? Why or why not?
Answer:
1. They are all red. 2. There is no possible way to come to a conclusion
Step-by-step explanation:
If there is a 100% chance you will draw a red marble, they all have to be red or it would not be a 100% chance.
We can't conclude how many marbles are in the bag because the question states nothing about how many marbles there are.
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
Crystal has 6 blouses, 4 hats, 4 pairs of shoes and 9 skirts.
How many distinct 'outfits' does she have?
Answer:
Crystal have 4 distinct outfits.
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Which pairs of rectangles are similar polygons?
Select each correct answer.
100 points!!!
Answer:
Step-by-step explanation:
189 × 81 and 2.1 × 0.9 are similar
120 × 60 and 24 × 12 are similar
The image of the point (-6, -2) under a translation is (-4,2). Find the coordinates of the image of the point (-3, 4) under the same translation.
ANSWER
(-1, 8)
EXPLANATION
First we have to find the rule for this translation.
The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.
The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:
\((x,y)\rightarrow(x+2,y+4)\)Therefore, the image of point (-3, 4) under the same translation is:
\((-3,4)\rightarrow(-3+2,4+4)=(-1,8)\)Simplify 3/4 X 14/ 15 .
Which ones are linear functions and why
Answer:
A, B and C
Step-by-step explanation:
A linear function is one in which the power of the variable x is 1