Step-by-step explanation:
9x^2 + 9y^2 + 18xy
9(5)+18(-2)
45-36
9
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, and suppose Y follows a Poisson distribution. The daily revenue generated by the machine is R=1600−50Y^2. Find the expected daily revenue for the extruder.
Answer:
$1300
Step-by-step explanation:
λ = average = 2 per day, Y denotes the number of breakdowns per day,
But E(Y) = λ, E[Y(Y - 1)] = λ²
E(Y²) = E[Y(Y - 1)] + E(Y), hence:
E(Y²) = λ² + λ
The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:
E(R) = E(1600−50Y²) = 1600 - 50E(Y²)
E(R) = 1600 - 50(λ² + λ)
Substituting:
E(R) = 1600 - 50(2² + 2)
E(R) = 1600 - 300 = 1300
E(R) = $1300
I need help on this question for middle school.
Answer:
2y+12
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses (because of PEMDAS), combine like terms
4(7/8y-3/8y+-4+7)
4(4/8y+3)
Simplify 4/8y
4(1/2y+3)
now apply distributive property and multiply each number by 4
2y+12
Hope this helps!
Answer:
(2y + 12)
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses, combine like terms.
then apply distributive property and multiply each number by 4.
Sorry my answer wasn't complete last time:) Hope this is better:)
According to the graph, what is the value of the constant in the equation
below? I NEED HELP ASAP!
Step-by-step explanation:
2 * 6 = 6 * 2 = 10 * 1.2 = 12 * 1 = 12.
The constant value is 12 (C).
NEED HELP ASAP NOW OR I DIE. -9 to the 28th power as a positive or negative explain
Answer:
Positive.
Step-by-step explanation:
Negative to a even power becomes positive
Hello can someone please help me with this.
Answer:
if there is equivalent ratio cookies should be 48
Plz help meee!!!!!!!!!!!!!!11
Answer: 15) 1 16) 30
Step-by-step explanation:
15 ) Since 15 you are shown that the larger has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1
16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.
Round the 173.235 to the nearest hundredth.
Answer:
173.200
Step-by-step explanation:
I need help with this one please
Answer:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3. b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Step-by-step explanation:
From the above question, we are to find the pairs through expansion or factorisation
a) (3x + 2)(9x² - 6x + 4)
b) 9x² - 24xy + 16y²
c) (4x - 3y)²
d) (3x - 2)(9x² + 6x + 4)
e) (3x + 5) (3x - 4)
f) 9x² + 3x - 20
g) 27x³ - 8
h) (3x - 4y)²
a) (3x + 2)(9x² - 6x + 4)
We expand.
3x(9x² - 6x + 4) + 2(9x² - 6x + 4)
27x³ - 18x² + 12x + 18x² - 12x + 8
27x³ - 18x² + 18x² + 12x - 12x + 8
= 27x³ + 8
c) (4x - 3y)²
We expand
(4x - 3y) (4x - 3y)
4x(4x - 3y) - 3y ( 4x - 3y)
16x² - 12xy - 12xy + 9y²
16x² - 24xy + 9y²
d) (3x - 2)(9x² + 6x + 4)
We expand
3x(9x² + 6x + 4) - 2(9x² + 6x + 4)
27x³ + 18x² + 12x - 18x² - 12x - 8
27x³ - 18x² + 18x² + 12x - 12x - 8
= 27x³- 8
e) (3x + 5) (3x - 4)
We expand
3x(3x- 4) +5(3x - 4)
9x² - 12x + 15x - 20
9x² +3x - 20
h) (3x - 4y)²
We expand
(3x - 4y) ( 3x - 4y)
3x(3x - 4y) -4y(3x - 4y)
9x² - 12xy - 12xy - 16y²
9x² - 24xy - 16y²
Hence:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3) b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Find f(2) If f(x) = (x + 1)2.
Answer:
f(2)=9
Step-by-step explanation:
f(x)=3x2-15. find x if f(x)=-3
Step-by-step explanation:
Given
f(x) = - 3
Now
f(x) = 3x² - 15
-3 = 3x² - 15
3x² = 15 - 3
3x² = 12
x² = 12/ 3
x² = 4
x = + 2
Therefore x = + 2.
Which of the following equations is equivalent to
3x + 2 = 14?
A. 4x=14
B. 3x=12
C. 3x=16
D. -1x = 12
Answer:
C
is your answer. Glad I could help!
Step-by-step explanation:
3 + 2 = 5 + 14 = 19
A. 18
B. 15
C. 19
D. 11
A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-3)
6+(-8)
6 + 8
Answer:
6+8 becuase -(-8) = +8
Step-by-step explanation:
The function f(x)= 3x + 25 models the yearly membership cost for a movie rental club, where x is the number of more • Last year, Sarah rented 41 movies. Last year, Tim rented twice the amount of movies as Sarah. How much more did Tim pay last year than Sarah?
Answer:
Tim paid $123 more last year than Sarah.
Step-by-step explanation:
First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer. Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82. Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer. Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.
Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence
Answer:
123
Step-by-step explanation:
Given that:
Method to generate the sequence:
If a number is less than or equal to 25, then the number is doubled.
And if the number is more than 25, then 12 is subtracted from it.
Here, we are given a sequence with its third number is 36.
Now, let us have a look by making the number 36 as half of its value.
[tex]\frac{36}{2}[/tex] = 18
This could have been the second number in the.
According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]
Other option for the first term can be 18 + 12 = 30
By second method, the second method can be:
36 + 12 = 48
By this method, First number 48 + 12 = 60
Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]
Therefore, sum of four options of first term:
9 + 30 + 60 + 24 = 123
5
Jody has 3 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles?
Answer:
3:5
Step-by-step explanation:
There are 3 red marbles
5 blue marbles
SO
3:5
Answer: 3:5
Step-by-step explanation:
There are 3 red marbles and 5 blues marbles so the ratio of red marbles to blue marbles will be 3:5 or 3 to 5, or 3/5
Find the distance between the points (2.8) and (54).
Answer:
It's 51.2
Step-by-step explanation:
All u gotta do is subtract 54 - 2.8
Solve the system using substitution.
X + 5y = 0
3y + 2x = -21
([?], 1)
Answer:
(-15, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x + 5y = 0
3y + 2x = -21
Step 2: Rewrite Systems
x + 5y = 0
Subtract 5y on both sides: x = -5yStep 3: Redefine Systems
x = -5y
3y + 2x = -21
Step 4: Solve for y
Substitution
Substitute in x: 3y + 2(-5y) = -21Multiply: 3y - 10y = -21Combine like terms: -7y = -21Isolate y: y = 3Step 5: Solve for x
Define equation: x + 5y = 0Substitute in y: x + 5(3) = 0Multiply: x + 15 = 0Isolate x: x = -15the width of a rectangle is 15inches more than the length the perimeter is 90inches find the
Answer:
Step-by-step explanation:
we have W=L+15 and P=90 lets replace W with this equation
P=2L+2W=2L+2(L+15)=2L+2L+30=4L+30
90=4L+30
60=4L
where L=60/4=15
we have W=30, L=15
What is the difference of 620 and 89.7?
Answer: 530.3
Step-by-step explanation:
Difference means to subtract
620-89.7=530.3
Answer:
530.3
Step-by-step explanation:
You want to subtract 620-89.7. If you want to use the standard algorithm you have 620.0-89.7. You "borrow" from the 2 in the tens place, then "borrow" from the ones place. To subtract 10-3 tenths. Then you subtract the ones place which is 9-9=0 ones. Now you subtract 62-8=53 tens. So you have 530.3 as the difference.
What is the image of (-7, -6) after a dilation by a scale factor of 4 centered at the
origin?
Answer: (-28, -24)
Step-by-step explanation:
Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.
If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.
K= (-7*4, -6*4)
Any number less than one means the point or shape is being compressed or made smaller.
Evaluate 10 - (x + 3) when 2 = 2.
Answer:
5
Step-by-step explanation:
Im asuming you meant " x = 2 ".
According to PEMDAS, parenthese come first so...
10 - ( 2 + 3 )
= 10 - 5
= 5
Answer:
its 50
Step-by-step explanation:
10 times (x+3) x=2
2 plus 3 is 5
10 time 5
=50
PLEASE HELP ITS DUE IN 10 MINUTES
write a linear function f with the values f(1)=4 and f0=3
Answer:
Write a linear function f with the values f(2)=−2 and f(1)=1.
So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1
We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.
Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3
Find the Y intercept by in one of the points for x and y and solving for B
Y = 3(X) + B
I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2
Put them together in intercept form: Y = 3(X) -2
Step-by-step explanation:
Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps
Complete this division sentence.
763 + 23 =
r
Answer:
is it a division or addition
Step-by-step explanation:
for me the answer is 786
(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is shown in the diagram.
Answer:
Quilt A: 35 green squares.
Quilt B: 12 blue squares.
Step-by-step explanation:
Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:
Therefore, knowing the ratio, you can calculate:
- The number of green squares (G) in quilt A, as following:
- The number of blue squares (B) in quilt B, as following:
(66 POINTS)
Lara is trying to solve a puzzle where she has to figure out two numbers, x and y. Five times x is greater than or equal to 3 more than y. Also, 1 more than 4 times y is greater than twice x. Which graph represents the possible solutions?
Answer: number -5,4
Step-by-step explanation:
which list orders the number from least to greatest
Answer:
Option C
-5, -2, 1, 3
Step-by-step explanation:
to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.
The largest number is easy to guess - it is undoubtedly 3.
However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.
Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C
N x 3/8 = 1 What is N?
Answer:
[tex]N=\frac{8}{3}[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
A house is 1, 928 centimeters long. Convert this measure to M.
Answer: 19.28 Meters
Step-by-step explanation:
We will find our units of conversion for this problem.
100 centimeters is equal to 10 meters.
So, we will divide 1,928 by 100 and we will see what we get.
1,928 ÷ 100 = 19.28
Our answer to the question is 19.28!
Carry on Learning!
The graph of 2x-7y=7 is shown which point is a solution of the equation
Answer: (-1,0)
Step-by-step explanation: