Answer:
You could design a solar panel.
Step-by-step explanation:
Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.
(What the question is asking is that you design a product in which some of the aspects listed would be imitated)
19/5 write as a mixed number.
Answer:3 4/5
Step-by-step explanation:
Answer:
3 4/5
Step-by-step explanation:
12. Lucy has a bag of Skittles with 3 cherry, 5 lime, 4 grape, and 8 orange
Skittles remaining. She chooses a Skittle, eats it, and then chooses
another. What is the probability she get cherry and then lime?
The probability that Lucy selects a cherry Skittle followed by a lime Skittle is 15/380.
To determine the probability that Lucy selects a cherry Skittle followed by a lime Skittle, we need to consider the total number of Skittles available and the number of cherry and lime Skittles remaining.
Let's calculate the probability step by step:
Step 1: Calculate the probability of selecting a cherry Skittle first.
Lucy has a total of 3 cherry Skittles remaining out of a total of 3 + 5 + 4 + 8 = 20 Skittles remaining.
The probability of selecting a cherry Skittle first is 3/20.
Step 2: Calculate the probability of selecting a lime Skittle second.
After Lucy has eaten the cherry Skittle, she has 2 cherry Skittles remaining, along with 5 lime Skittles out of a total of 19 Skittles remaining.
The probability of selecting a lime Skittle second is 5/19.
Step 3: Calculate the probability of selecting cherry and then lime.
To calculate the probability of two independent events occurring in sequence, we multiply their individual probabilities.
Therefore, the probability of selecting a cherry Skittle first and then a lime Skittle is (3/20) * (5/19) = 15/380.
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Just letter b) please
a) When Bryony throws an ordinary fair 6-sided dice once, the probability of getting a 1 is 1 out of 6, since there is only one face with a 1 out of the six possible outcomes. Therefore, the probability is 1/6 or approximately 0.1667.
b) If Trevor throws the same dice twice, the probability of getting a 1 on both throws is the product of the probabilities of getting a 1 on each throw. Since each throw is independent, the probability of getting a 1 on the first throw is 1/6, and the probability of getting a 1 on the second throw is also 1/6. Therefore, the probability of getting a 1 on both throws is (1/6) * (1/6) = 1/36 or approximately 0.0278.
The sum of two consecutive integers is 91. Find the integers.
Answer:
Let the smaller integer be x and greater integer be (x+1)
x+(x+1)=91
2x+1=91
2x=91-1=90
x=90/2
x=45
Answer:
The integers are 45 and 46.
Step-by-step explanation:
Let the two consecutive integers be x and therefore the other will be x+1.
Given that the sum of the integers is 91.
So ATP,
x+(x+1) = 91Solving for first number i.e. x,
x+x+1 = 912x = 91-12x = 90x = 90/2x = 45Hence,the first number is 45.
\(\rule{225pt}{2pt}\)
Solving for second number,i.e. x+1:
It can easily be obtained by substituting the value of x we got.
x+145+146Hence,the second number is 46.
\(\rule{225pt}2pt\)
Brenda is selling two different nut mixes as snacks. Mix A has 3 oz. of cashews and 7 oz. of almonds. Mix B has 6 oz. of cashews and 5 oz. of almonds. Which inequalities represent the number of mix A mixes, A, and mix B mixes, B, Brenda can make if she has 72 oz. of cashews and 84 oz. of almonds?
3A+7B≤72
6A+5B≤84
3A+7B≤84
6A+5B≤72
6A+3B≤72
5A+7B≤84
3A+6B≤72
7A+5B≤84
Answer:
3A+6B≤72
7A+5B≤84
Step-by-step explanation:
Just took the exam and got it right
I need help fast I’m timed!
Answer:
-5
Step-by-step explanation:
Which of the following real numbers is NOT and irrational number?
A 35
B 51
C 29
D 49
Answer:
B
Step-by-step explanation:
cause i said so
I need help on the last two finding the function notation
For the second before last f(f), you have to replace x with the function f(x).
For the last one you have to replace x with the function g(x)
\(g(x)=2x^2+1\)\(\begin{gathered} f(g)=3(2x^2+1)+5 \\ f(g)=(3\cdot2x^2)+(3\cdot1)+5 \\ f(g)=6x^2+3+1 \\ f(g)=6x^2+4 \end{gathered}\)Which is not a discrete random variable?
A. The number of births in a hospital on a given day
B. The number of fives obtained in four rolls of die
C. The hourly earnings of a call center employee in Boston
D. The number of applicants applying for a civil service job
Hourly earnings of call center employees is not a discrete random variable.
The answer is C.
The continuous random variable is not a discrete random variable. Continuous random variables are variables that can take an infinite range of values within a specific range, such as time, length, and weight.
A discrete random variable is a random variable that can only take certain discrete values. A discrete random variable is defined as a variable that takes on a specific set of values or a range of values.
The number of births, number of fives, and number of applicants are all random variables that can only take certain discrete values within a particular range of possible values.
So, the answer is C. The hourly earnings of a call center employee in Boston is not a discrete random variable.
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(I BEG U TUTORS HELP) the value if x=9 a solution to the system of equations shown below. Where b is some unknown constant. Determine the value of b. Show how you arrived at your answer
y=2x-20
y= -5x+b
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
The height of the tree is 1.9 meters
How to determine the height of the treeFrom the question, we have the following parameters that can be used in our computation:
Nova stands at the tip of Caden’s shadow. Caden is 1.2 meters tallCaden's distance from Nova is 4.2 metersCaden's distance from the tree is 6.5 metersThe height of the tree can then be calculated using the following ratio expression
Tree's height : Caden's height = Caden's distance from the tree : Caden's distance from Nova
Substitute the known values in the above equation, so, we have the following representation
Tree's height : 1.2 = 6.5 : 4.2
Express as fraction
Tree's height/1.2 = 6.5/4.2
So, we have
Tree's height = 1.2 * 6.5/4.2
Evaluate
Tree's height = 1.9
Hence, the tree's height is 1.9 meters
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the owner of the good deals store opens a new store across town. for the new store, the owner estimates that, during business hours, an average of 909090 shoppers per hour enter the store and each of them stays an average of 121212 minutes. the average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (note: ignore the percent symbol when entering your answer. for example, if the answer is 42.1\b.1b, point, 1, percent, enter 42.142.142, point, 1.)
The answer is 60%
According to the original information given, the estimated average number of shoppers in the original store at any time(x) is 45.
In the question, it states that, in the new store, the manager estimates that an average of 90 shoppers per hour(60 minutes) enter the store, which is equivalent to 1.5 shoppers per minute(s).
The manager also estimates that each shoppers stays in the store for an average of 12 minute (t). Thus, by Little's law there are, on average,
x = s x t
=> x = 1.5 x 12
=> x = 18
Hence, there are 18 shoppers at any time in the new store.
Now, Percentage of shoppers
\(\frac{45-18}{45}\) x 100 = 27/45 x 100 = 2700/45 = 60%
Therefore, the answer is 60%
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Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.
The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.
Let's begin the iterations:
Iteration 1:
\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)
The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).
Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)
Iteration 2:
\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)
The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).
After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).
Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
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The partial sum 1 + 10 + 19 +.... 199 equals :___________
The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series. Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.
To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.
The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.
In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.
By solving this equation, we find that n = 23, and the last term l = 199.
Substituting the values into the formula for the partial sum, we have:
S₂₃ = (23/2)(1 + 199),
= 23 * 200,
= 4600.
However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.
The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.
Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.
Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.
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Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?
Answer:
Step-by-step explanation:
Victoria used : 170 g of butter for 250 g of flour.
So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.
Victoria's daughter used: 340 g butter for 400 g flour
So, 1 g of flour requires = 340/400 g of butter = 0.85 g of butter
Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.
Show that the function f(x) f(x) = x3, x < 0 1 x2 sin, x > 0 x is differentiable.
To show that the function f(x) = x³ for x < 0 and f(x) = x²sin(x) for x > 0 is differentiable, we need to demonstrate that the function has a derivative at every point in its domain.
Let's consider the function f(x) separately for x < 0 and x > 0.
For x < 0
In this case, f(x) = x³. The power rule tells us that the derivative of xⁿ with respect to x is nxⁿ⁻¹. Applying this rule, we find that the derivative of f(x) = x³ is f'(x) = 3x².
For x > 0
In this case, f(x) = x²sin(x). The product rule is used when we have a function that is the product of two other functions. The derivative of f(x) can be calculated as follows
f'(x) = (x²)' sin(x) + x² (sin(x))'
To find the derivative of x² sin(x), we use the product rule again
(f(x)g(x))' = f'(x)g(x) + f(x)g'(x)
Let f(x) = x² and g(x) = sin(x). We have
f'(x) = 2x
g'(x) = cos(x)
Substituting these values back into the product rule equation
f'(x) = (x²)' sin(x) + x² (sin(x))'
= (2x) sin(x) + x^2 cos(x)
Therefore, the derivative of f(x) = x²sin(x) is f'(x) = (2x) sin(x) + x²cos(x).
Now, we have found the derivatives of f(x) for both x < 0 and x > 0. To show that f(x) is differentiable, we need to verify that the derivatives from both cases match at x = 0.
As x approaches 0 from the left side (x < 0), we have
lim(x → 0⁻) f'(x) = lim(x → 0⁻) 3x² = 0
As x approaches 0 from the right side (x > 0), we have
lim(x → 0⁺) f'(x) = lim(x → 0⁺) (2x) sin(x) + x²cos(x) = 0
Since the limits of the derivatives from both cases are equal at x = 0, we can conclude that f(x) = x³ for x < 0 and f(x) = x²sin(x) for x > 0 is differentiable at every point in its domain.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Philip is downloading applications (apps) and songs to his tablet. He
downloads 7 apps and 6 songs. Each song takes an average of 0.8 minutes
longer to download than each app. If it takes 21.7 minutes for his
downloads to finish, which of the following systems could be used to
approximate a, the average number of minutes it takes to download one
app, and s, the average number of minutes it takes to download one song?
Answer:
a + s = 21.7
7a = 6s - 0.8
Step-by-step explanation:
I just used pattern recognition in my head and stuff i dont know how to explain
Prism AAA has a volume of 606060 cubic units, and a height of 121212 units. Prism BBB has the same base area and height, but a length of 151515 units for the longest edge.
As both prism have the same base area and height there volumes are the same.
What is called prism?
Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
Therefore, The length of the longer side is the length of the triangle itself.
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The complete question is -
Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge
Answer:
Step-by-step explanation:
yes
Prove the following statement using the given pieces of information.
Given: Line AB is parellel to Line DC and Line AD is parellel to Line BC.
Prove: Triangle ABC is congrent to Triangle CDA.
Triangle ABC is congruent to Triangle CDA using the SSS rule.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
SSS rule states that,
If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
To prove:
ΔABC ≅ ΔCDA.
AB = DC ( given)
AD = BC (given)
AC = AC (common to both the triangles)
ΔABC ≅ ΔCDA ( By SSS rule )
Thus,
ΔABC ≅ ΔCDA by SSS rule.
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which linear inequality represents the graph below (-3 3) (0 1)
Answer:
0
Step-by-step explanation:
C= 3y^2+4y+4
D= -7y ^2 + 3y -6
D-C=
Answer:
subtrace all numbers from c and d together.
Answer:
-10y^2-y-10
Step-by-step explanation:
D-C= (-7y^2+3y-6)-(3y^2+4y+4)rewrite without parenthese:
-7y^2+3y-6-3y^-3y-4group like terms:
(-7-3)y^2+(3-4)+(-6-4)simplify:
-10y^2-y-10
PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE
Answer:
Town C
Step-by-step explanation:
Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1?
Answer:
Each day, you record the high temperature* (you don't necessarily need to say that it is for a science project). On Day 1, it was 4* less than Day 10**. It hit 62* F on Day 10. What was the high temperature on Day 1?
Because we know that on Day 1, the temperature was 4* less than on Day 10, and the high temperature on Day 10 was 62*, the high temperature on Day 1 was therefore 58*. Because 62 - 4 = 58.
Step-by-step explanation:
*You don't necessarily need to say that it was for a science project.
**The information for Day 4 is irrelevant too because we are not given the temperature for Day 4, therefore it does not help us find the answer.
Select all of the possible answers.
All the possible answers are given below
What is a rectangular prism?U should recall that a rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are identical.
Remember also that a plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
To this effect, the possible answers are
A plane parallel to the base of a rectangular prismA plane parallel to the base of a triangular prismA plane Perpendicular to the base of a rectangular prismA plane Perpendicular to the base of a triangular prismLearn more about a rectangular prism on https://brainly.com/question/21308574?
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the linear correlation coefficient is always between___and___, inclusive.
The linear correlation coefficient is always between -1 and +1, inclusive, representing the strength and direction of the linear relationship between two variables.
To calculate the linear correlation coefficient, the following steps should be followed:
1. Calculate the means of both variables x and y.
2. Calculate the standard deviations of both variables x and y.
3. For each point (x,y) calculate the deviation from the mean for both x and y, and multiply them together.
4. Sum up all the products calculated in the previous step.
5. Divide the sum of all the products by the number of points multiplied by the standard deviation of x multiplied by the standard deviation of y.
6. The result is the linear correlation coefficient.
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Bro it easy just look
Answer:
then answer it
Step-by-step explanation:
Answer:
4.5 inches long by 2.5 inches wide
Step-by-step explanation:
If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.
Hope this helps :)
(Brainliest, please? I only need one more to level up)
Help please and thanks :)
Answer:
- \(\frac{11}{3}\)
Step-by-step explanation:
Using the rules of exponents
\(\frac{1}{a^{m} }\) ⇔ \(a^{-m}\)
\((a^{m}) ^{n}\) = \(a^{mn}\)
Consider the right side
\((\frac{1}{27}) ^{a+3}\)
= \((\frac{1}{3^3}) ^{a+3}\)
= \((3^{-3}) ^{a+3}\)
= \(3^{(-3a-9)}\)
Now we have
9 = \(3^{(-3a-9)}\) , that is
3² = \(3^{(-3a-9)}\)
Since the bases on both sides are equal, equate the exponents
- 3a - 9 = 2 ( add 9 to both sides )
- 3a = 11 ( divide both sides by - 3 )
a = - \(\frac{11}{3}\)
Answer:
Your answer is - 11/3
Step-by-step explanation:
Hope this helps!
EKA MATH²
6 M2 TD Lesson
▸
A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells
a gym membership. Last month, the trainer sold 32 gym memberships. What is the total amount
of money the trainer earned last month?
Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.
And last month she sold 32 gym memberships
We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:
32 memberships * $4.75 per membership = $152.00
To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:
$2,456.75 + $152.00 = $2,608.75
So, the total amount of money the trainer earned last month is $2,608.75
Step-by-step explanation:
Convert 42.4 inches to meters.Round your answer to 2 decimal points
Answer:
1.07m
Step-by-step explanation:
the first step is to convert inches to cm
1in =2.54cm
(42.4in/1in x2.54cm)
42.4in = 107.69cm
then convert cm to m
1cm =0.01m
(107.69cm/1cm x 0.01m)
107.69cm =1.0769m
~1.07m