Simplify this fraction
1^22 / 1^7
Answer:
1
Step-by-step explanation:
One to any exponent is just 1 so this fraction simplifies to 1/1 or just simply 1
Answer:
1 or 1 / 1.
Step-by-step explanation:
Square the numbers:
1^22 / 1^7
Any number squared with 1 is always 1:
1 / 1
= 1 or 1 / 1
Make m the subject of
r=5m-7b
The formula for m in terms of r and b is m = r/5 + 7b/5.
What is m in the equation?Given the equation in the question;
r = 5m - 7b
To make m the subject of the formula, we need to isolate m on one side of the equation.
r = 5m - 7b
First, we can start by adding 7b to both sides of the equation:
r + 7b = 5m - 7b + 7b
Simplifying the right-hand side:
r + 7b = 5m
Then, we can divide both sides of the equation by 5 to isolate m:
(r + 7b) / 5 = (5m) / 5
Simplifying:
(r + 7b) / 5 = m
m = r/5 + 7b/5
Therefore, the formula for m is m = r/5 + 7b/5.
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Find the area of the figure below by first finding the areas of the rectangle and triangle.
Answer:
try checking the questions again and put in more detail
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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I need help on this question
Answer:
1) The third picture
2) The second picture
3) The first picture
The enzyme and substrate forms an enzyme-subtrate-complex. The enzyme changes the substrate into product/s and the product/s leaves the active site.
DESPERATE WILL GIVE BRAINLIST ANDTHANKS
What is the positive square root of 64?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
Write nine hundred and eight tenths as a decimal number.
Answer:
900.8
Step-by-step explanation:
hope this helps:)
The odometer in your mother’s car reads 2,056 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 22,010 miles. About how many miles are on the odometer of your uncle’s car?
Answer:
24066
Step-by-step explanation:
M=u-2056
U=m+2056
U=22010+2056=24066
Algebra 2
Functions
Skills Summative
Answer: See explanation
Step-by-step explanation:
For questions 1 - 4, it's asking you to plug in numbers into the original functions.
1. f(-2): You would plug -2 into f(x) = 2x^2 - 3x, getting
2(-2)^2 - 3(-2)
2(4) - (-6)
8 + 6 = 14
f(-2) = 14
2. f(x) - g(x): You're basically just subtracting the two functions
(2x^2 - 3x) - (2 - 5x)
2x^2 - 3x - 2 + 5x
Combine like terms
2x^2 + 2x - 2
3. You're multiplying them so (2x^2 - 3x)(2 - 5x)
4. f(g(x)): It's like f(-2), but instead of -2, you plug in the function of g(x)
So in 2x^2 - 3x, x would equal 2 - 5x:
2(2 - 5x)^2 - 3(2 - 5x)
And then simplify that.
For questions 5 - 6, it's asking for shifting from the parent function. Parent function is always f(x) or g(x) or whatever variable it is.
5. f(x - 8) + 9: The 9 is the y value shift, meaning the parent function is shifted up 9 units. For -8, think of what x needs to be for (x - 8) to be 0. If that number is positive, function shifts right; if negative, shift left. In this case, x needs to be 8 in order for (x - 8) to be 0. Therefore, f(x) is shifted right 8 units.
6. -3f(x) - 2: From the previous question, we now know that -2 means f(x) is shifted down 2 units. When you have 3f(x), you're multiplying the entire function by 3, so it's called a vertical stretch of 3. The negative means it's reflected over the x-axis since the y value is the opposite of what it used to be.
Grandpa made 60 cookies. His grandkids ate 36 of the cookies. Grandma ate 18
cookies. How many cookies are left?
Answer:
The answer is 6
Step-by-step explanation:
60-36-18=6
Which expression is equivalent to √-80?
O-4√√5
O-4√√51
O 4√51
O 4√√√5
The equivalent to √-80 is 4√5
What is square root of imaginary ?
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
The given expression is √-80
The factors of 80 is
⇒√-(2 * 2* 2 * 2 * 5)
Take 4 out of the root
⇒ 4√-5
Since value inside the root is not to be negative. If it is then it means it is imaginary root or i.
So, the answer will be
⇒ 4√5
Hence, the equivalent to √-80 is 4√5
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Can someone do 11 please
............. maybe
if the 90% confidence limits for the population mean are 45 and 55, which of the following could be the 99% confidence limits a) [48, 55] b) [49, 53] c) [42, 58] d) [46, 51] e) [49, 51] f) none of the above
The 99% confidence limit will be option B which is (45, 55)
90% confidence limits for the population mean are (46,54)
mean = 46+54 / 2 = 50.
the margin of error E = 54-46/2 = 4
For 90% Confidence Z- Critical value is = 1.645
But the margin of error
E = ZS/√n
4=(1.645)S/√n
S/√n = 4 / 1.645
= 2.4316
For 95% confidence Z-critical value is 1.96
A 95% confidence interval is = mean ± E
(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316
= 50+ 4.7660
= 45.2340, 54.7660
= (45, 55)
Hence the correct option is B which is (45, 55) as the 99% confidence limit.
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What is:
(9t+5)+(3t-6)
simplified?
Answer:
12t - 1
Step-by-step explanation:
(9t+5) + (3t-6)
9t + 5 + 3t - 6
12t - 1
In the diagram below, a triangle is moved from position 1 to position 2 by a transformation, then moved from position 2 to position 3 by another transformation.
Drag and drop the correct choices to describe these transformations.
The transformation from 1 to 2 can be described by the function (x,y)-->
.
The transformation from 2 to 3 can be described by the function (x,y)-->
.
(x-4, y)
(x-7,y)
(x,y-4)
(x,y-7)
(x,-y)
(-x,y)
(-x,-y)
(y,x)
(y,-x)
(-y,x)
(-y,-x)
Answer:
1 to 2 : downward 5 unit, left unit 2 to 3 : reflect across y - anis.
Step-by-step explanation:
From 1 to 2 : Translation downward 5 units first, and translation left i unit. From 2 to 3 : Reflect 2 across y - anis contained 3.
What is 3/25 × 4 in simplest form
Answer: 12/25
Step-by-step explanation: 3/25 × 4 is equaled to 3/25 × 4/1.
So first we take 3 and 4 and multiply them to make 12.
Then we take 25 and multiply it by 1 which would equal to 25.
Now we have 12/25 which cannot be simplified.
The volume of a large can of tuna fish can be calculated using the formula
V= π r^2 h. Write an equation to determine the radius of the can.
The equation that can be used to determine the radius of the can isr = √(v/πh)
What is change of subject of formula?For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.
Similar making r the subject in V= π r^2 h
divide both sides by πh
V/πh = r²
r² = V/πh
r = √(V/πh)
therefore the radius of the can be obtained from
r = √(V/πh)
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Hey I’m having a lot of trouble solving this and I was wondering if you can help
Angle DGO: Vertical ->13 (no letter), supplement PGD marked as L
Angle 12: Vertical-> HOG marked as K
Angle 2: Vertical -> ICK (not in table). Supplement #15, letter E
Angle 28: Vertical #8, letter E
Angle 31: Vertical #19, letter W
Angle GRV: Supplement #19, letter E
Angle 21: Supplement #7, letter I
Angle 22: Vertical #17, letter H
Angle 32: Supplement #17, letter T
Checking previous answers.....
Angle 4: Vertical ORY, letter H. Correct
Angle RKV: Supplement VKA, letter E. Correct
Angle 26: Vertical #7, letter D. Correct
Angle 24: Supplement #8, letter I. Correct
Angle 26: Vertical #7, letter D. Correct
Angle 18: Vertical VKA, letter N. Correct
Angle 29: Supplement HOG, letter T. Correct
Angle YRV: Supplement ORY, letter I. Check!!
Angle 27: Vertical #15, letter T. Correct
Angle 4 (already checked).
Angle EGJ: Vertical PGD, letter G. Correct
That’s the pictureeeeeeee
Answer:
Selections are shown in the image
Step-by-step explanation:
Relations and Functions
A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.
From the options presented below, we'll mark as functions only those who don't have relations between one element in the input set with more than one element in the output set.
In the first relation, every input element is related to only one output element. The same occurs in the second relation.
Note that in the third relation, the input element -5 is related to 4 and also to -4. Element -3 is also related to two different elements. This is not a function.
The fourth relation has the input element 1 related to two different output elements in the pairs (1,0) and (1,2). Thus, this is not a function either.
The fifth relation is a function. No input element is related to more than one output element.
Summarizing the options to select are shown below.
The Stock Market Nadia is a stockbroker. earns 13% commission each week. Last week, sold 5,300$ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
$5,300*0.13 = $689*52 = $35,828
Step-by-step explanation:
A culture of bacteria grows exponentially. It doubles in size every 4848 hours. How long will it take to triple from its original size?
Answer:
7272 hours
Step-by-step explanation:
4848 ÷ 2 = 2424
2424 + 4848 = 7272
A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?
Answer:
\(E=2.15\times 10^{-4}\ J\)
Step-by-step explanation:
Given that,
The capacitance of the capacitor, \(C=2.2\times 10^{-6}\ F\)
Voltage of the power supply, V = 14 V
We need to find the energy stored in the capacitor.
The formula for the stored energy in the capacitor is given by :
\(E=\dfrac{1}{2}CV^2\)
Put all the values,
\(E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J\)
So, \(2.15\times 10^{-4}\ J\) of energy is stored in the capacitor.
Students arrive at the Administrative Services Office at an average of one every 12 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Required: (a) What percentage of time is Judy idle? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) (b) How much time, on average, does a student spend waiting in line? (Round your answer to the nearest whole number.) (c) How long is the (waiting) line on average? (Round your answer to 2 decimal places.) (d) What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Round your answer to 3 decimal places.)
The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.
To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333
The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:
The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.
(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.
(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:
P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.
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3) If 3 folders cost $2.70, then how much would 8 folders cost? *
2p
O (1) $6.90
(2) $7.02
(3) $7.20
(4) $8.13
GUYS HELP MEEEE
Answer:
2.70/3=0.9
0.9x8=7.20
Answer is 3 - $7.20
At a concession stand, five hot dog(s) and four hamburger(s) cost $14.75; four hot dog(s) and five hamburger(s) cost $14.50. Find the cost of one hot dog and the cost of one hamburger.
What is the cost of one hot dog? $
Answer:
$1.40 per hotdog
$1.83 per hamburger
Step-by-step explanation:
what is (-2)( 3 4/7)
Answer:
-7 1/7
Step-by-step explanation:
Hope that helps!
What is y =- 3 on a graph?
Answer:
A line.
Step-by-step explanation:
Graphing y = -3 will give you a horizontal line 3 units below the x-axis.
To imagine this, we can create a bunch of points, each with a y coordinate of -3. For example: (-2, -3), (-1, -3), (3, -3), (6,-3). Graphing these will lead to a horizontal line!
it was due yesterday!!!!!!!!! pls help me!!!!!!!
Answer:
D
Step-by-step explanation:
So sorry for the late response I didn't even see this but it is D
rate of change is the same as slope and in the equation you can see the slope is 3 but in the table it is a little more tricky to find
we use the formula y2-y1/x2-x1 for this
7-2/4-3
5/1
5
so the slope or rate of change is 5
How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? 96 O9!/8 O C(9,6) 9!
9!
---------------
2! x 2! x 2!
HELP MEEEE!!!!!
Find the area of a rectangle with a length of 5 inches and a width of 3 inches
Answer:
15in
Step-by-step explanation:
The formula for finding the area of a rectangle is A=lw.
A=lw
A=5*3
A=15