To find the median, we must order the numbers from least to greatest and find the middle number which will be the median.
List in order: -20, -12, -9, -7, -5, 2, 12, 15, 16
The number in the middle position is -5 <-- median
Hope that helps!
When you multiply the grouping by the exponent, what is the answer?
5+4 - (8 x 3 – 22)* x 4
Answer:
1
Step-by-step explanation:
5 + 4 - (8 x 3 – 22)* x 4
5 + 4 - (24 - 22) x 4
5 + 4 - 2 x 4
5 + 4 - 8
1
Answer:
16
Step-by-step explanation:
5+4- (8x3-22) ↑4 x4
16
5+4 - (24-22) ↑4 x4
5+4- (2) ↑4 x4
2x2x2x2=16
hope that helps:)
helllp pleeaasee can you?
Divide money earned by hours worked to get the hourly rate of $11.00 per gour.
Answer: C. $11.00 per hour
m(m − n)
for m = 3 and n = 1
A window in the shape of a parallelogram had a base of 46 inches and a height of 45 inches. What is the area of the window?
Answer:
A = bh
A = 45 x 46
A = 2070 inches
Answer:
2070 squre in
Step-by-step explanation:
because the base is 46 and the height is 45 then we just multiply the two together to find the area.
so we solve it and we get
45*46=2070
A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month
Simplify the expression:
3y + x - 2x + y + x + x
+
a. *° -2x + 4y4
X3
b. x + 3y4
C. 5x + y + 3y
d. x + y + 3y
+
Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30%
chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets if she
catches 2 fish.
W = # of walleye 0
1
2
P(W)
0. 49
0. 42
0. 09
Calculate the mean of W.
walleye
Uw =
Answer:
Answer: 1.4
Step-by-step explanation:
P(Northern pike) = 0.7
P(walleye) = 0.3
If 2 fishes are caught :
Number of northern pike (x) :
X = 0
P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09
X = 1
P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)
= (0.3 * 0.7) + (0.7 * 0.3)
= 0.21 + 0.21
= 0.42
P(x = 2)
P(northern pike 1st) * P(northen pike 2nd)
0.7 *0.7 = 0.49
X: _ 0 _ 1 __ 2
P(x): ___ 0.09 ___ 0.42 ____ 0.49
Expected value of northern pikes :
(0* 0.09) + (1 * 0.42) + (2 * 0.49)
0 + 0.42 + 0.98
= 1.4
Expected value of the number of walleye is 0.5.
What is the expected value?
The expected value exists as a long-run average value of random variables. It also demonstrates the probability-weighted average of all possible values. Expected value exists as a generally utilized financial concept.
W = # of walleye 0, 1, 2
P(W) 0. 49, 0. 42, 0. 09
To estimate the expected value of the number of walleye.
E(X) = number of walleye
E(X) = (0 [tex]\times[/tex] 0.49) + (1 [tex]\times[/tex] 0.42) + (2 [tex]\times[/tex] 0.09)
E(X) = 0 + 0.42 + 0.08
E(X) = 0.5
Therefore, the number of walleye expected value = 0.5.
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Please help me!!!!!!!
Find the average rate of change, in people per year, for the population between the years 1900 and 1920.
Step-by-step explanation:
the average change rate of a function f(x) in an interval [x1 .. x2] is
(f(x2) - f(x1)) / (x2 - x1)
in our case that is
(7000 - 2500) / (20 - 0) = 4500 / 20 = 225
the population changed in average by 225 people per year from 1900 to 1920.
Rita buys a box of chocolates for every two plain chocolate there are three milk chocolates there are 30 chocolates in the box how many milk chocolate are there?
Answer:
there are 18 milk chocolates
Answer:
Step-by-step explanation:
convert it to fraction first: 2/5 are plain and 3/5 is milk
30÷5= 6
2x6=12
3x6=18
to check wheter or not it is correct add the amount. if it gets the total, it is correct.
Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4? Input your answer in fraction form.
Answer:
1/6
Step-by-step explanation:
Given;
Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4?
Solve:
Six-sided die = 6
There are only one 4 in the six-sided die.
Hence, fraction = [tex]\frac{1}{6}[/tex]
~Lenvy~
Hello people ~
factorise: 11y ^ 2 + 7y + 12
[tex]\\ \rm\rightarrowtail 11y^2+7y+12[/tex]
Un factorable
let's see why?
11×12=132There are no factors which gives sum +7 and product 132.
Hence it's not factorableIf 75% of a number is 15, find 15% of that number.
[tex]0.75x = 15[/tex]
[tex]x = \frac{15}{0.75} = 20[/tex]
[tex]0.15(20) = 3[/tex]
Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.
Step-by-step explanation:
14. in the figure at the right, ∠2 and ∠5 are_____ A. complementary angles B. linear pair C. supplementary angles D. vertical angles
Answer this please
Reason:
When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.
They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.
can someone please help me
Answer:
y = x - 5
Step-by-step explanation:
Line A
It has 1/2 the slope of Line BIts y-intercept is 2 x 2.5 spaces belowEquation
Line A ⇒ y = 1/2(2x) + 2(-2.5)Line A ⇒ y = x - 5Patrick is a comdeion who makes $120 for short performance and $260 for long performance. how much will he earn if he completes 11 short and 12 long performences?
Answer:
$4440 for all performances
Step-by-step explanation:
11 × ¢120 for short performances
12 × $260 for long performances
$1320 for short performances
$3120 for long performances
To get the totel you add them up
( $1320 + $3120)
The total is $4440
A car is purchased for $23,000. Each year it loses 30% of its value. After how many years will the car be worth $6800 or
less?
Hey there!
A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Set up the depreciation equation D(t) where t is the number of years in the life of the car:
D(t) = 23,000/(1.3)^t
The problem asks for D(t)<=6800
23,000/(1.3)^t = 6800
Cross multiply:
7300(1.3)^t = 24,000
Divide each side by 6800
1.3^t = 23000/6800
1.3^t = 3.38
Take the natural log of both sides:
LN(1.3^t) = LN(3.38)
Using the natural log identities, we have:
t * LN(1.3) = 1.22
t * 0.2624 = 1.22
Divide each side by 0.2624
t = 4.6494
Rounding this up, we have t = 5
Answer:
it would be 7647
close enough though
Step-by-step explanation:
Ben thinks that the largest place value that 5.6 and 1.78 have in common is the tenths place. Nichole thinks that the largest place value they have in common is the ones place.
Answer the following in complete sentences:
Who is correct, Ben or Nichole?
Write how you would explain your answer to the person who answered incorrectly.
The place values in 5.6 and 1.78 are the positions of the digits in the numbers
The largest place value common in 5.6 and 1.78 is the ones placeNichole is correctHow to determine who is correct?In a number, the non-zero digit at the left-most position is the greatest place value
This means that:
The greatest place value in 5.6 is 5 (i.e. ones place)
The greatest place value in 1.78 is 1 (i.e. ones place)
So, we can conclude that the largest place value common in 5.6 and 1.78 is the ones place
Hence, Nichole is correct
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round 763 to the nearist ten
Answer:
760
Step-by-step explanation:
Answer:
760 of course
Step-by-step explanation:
3 is below 5 so its 760
If the last digit was a 5 or higher,it'll be 770
Find the derivative of following function.
[tex]\\ \rm\rightarrowtail y=\dfrac{cos^2x-3\sqrt{x}+6}{sin^2x+6}\times \dfrac{tan^2x+5x}{cosec^2x+3}[/tex]
Make sure you include proper explanation and all steps .
Wrong answers aren't tolerated.
Spam/short/irrelevant answers will be deleted so don't do time pass if you don't know
[tex]\boxed{\pink{\mathscr{All\:the\:best}}}[/tex]
Answer:
[tex]\displaystyle y' = \frac{\big( -2 \cos x \sin x - \frac{3}{2\sqrt{x}} \big) \big( \tan^2 x + 5x \big) + \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( 2 \sec^2 x \tan x + 5 \big)}{ \big( \csc^2 x + 3 \big) \big( \sin^2 x + 6 \big)} + \frac{2 \cot x \csc^2 x \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big)^2 \big( \sin^2x + 6 \big)} - \frac{2 \cos x \sin x \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big) \big( \sin^2 x + 6 \big)^2}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]:
[tex]\displaystyle (cu)' = cu'[/tex]
Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]:
[tex]\displaystyle (uv)' = u'v + uv'[/tex]
Derivative Rule [Quotient Rule]:
[tex]\displaystyle \bigg( \frac{u}{v} \bigg)' = \frac{vu' - uv'}{v^2}[/tex]
Derivative Rule [Chain Rule]:
[tex]\displaystyle [u(v)]' = u'(v)v'[/tex]
Step-by-step explanation:
*Note:
Since the answering box is way too small for this problem, there will be limited explanation.
Step 1: Define
Identify.
[tex]\displaystyle y = \frac{\cos^2 x - 3\sqrt{x} +6}{\sin^2 x + 6} \times \frac{\tan^2 x + 5x}{\csc^2 x + 3}[/tex]
Step 2: Differentiate
We can differentiate this function with the use of the given derivative rules and properties.
Applying Product Rule:
[tex]\displaystyle y' = \bigg( \frac{\cos^2 x - 3\sqrt{x} + 6}{\sin^2 x + 6} \bigg)' \frac{\tan^2 x + 5x}{\csc^2 x + 3} + \frac{\cos^2 x - 3\sqrt{x} +6}{\sin^2 x + 6} \bigg( \frac{\tan^2 x + 5x}{\csc^2 x + 3} \bigg) '[/tex]
Differentiating the first portion using Quotient Rule:
[tex]\displaystyle \bigg( \frac{\cos^2 x - 3\sqrt{x} + 6}{\sin^2 x + 6} \bigg)' = \frac{\big( \cos^2 x - 3\sqrt{x} + 6 \big)' \big( \sin^2 x + 6 \big) - \big( \sin^2 x + 6 \big)' \big( \cos^2 x - 3\sqrt{x} + 6 \big)}{\big( \sin^2 x + 6 \big)^2}[/tex]
Apply Derivative Rules and Properties, namely the Chain Rule:
[tex]\displaystyle \bigg( \frac{\cos^2 x - 3\sqrt{x} + 6}{\sin^2 x + 6} \bigg)' = \frac{\big( -2 \cos x \sin x - \frac{3}{2\sqrt{x}} \big) \big( \sin^2 x + 6 \big) - \big( 2 \sin x \cos x \big) \big( \cos^2 x - 3\sqrt{x} + 6 \big)}{\big( \sin^2 x + 6 \big)^2}[/tex]
Differentiating the second portion using Quotient Rule again:
[tex]\displaystyle \bigg( \frac{\tan^2 x + 5x}{\csc^2 x + 3} \bigg) ' = \frac{\big( \tan^2 x + 5x \big)' \big( \csc^2 x + 3 \big) - \big( \csc^2 x + 3 \big)' \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big)^2}[/tex]
Apply Derivative Rules and Properties, namely the Chain Rule again:
[tex]\displaystyle \bigg( \frac{\tan^2 x + 5x}{\csc^2 x + 3} \bigg) ' = \frac{\big( 2 \tan x \sec^2 x + 5 \big) \big( \csc^2 x + 3 \big) - \big( -2 \csc^2 x \cot x \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big)^2}[/tex]
Substitute in derivatives:
[tex]\displaystyle y' = \frac{\big( -2 \cos x \sin x - \frac{3}{2\sqrt{x}} \big) \big( \sin^2 x + 6 \big) - \big( 2 \sin x \cos x \big) \big( \cos^2 x - 3\sqrt{x} + 6 \big)}{\big( \sin^2 x + 6 \big)^2} \frac{\tan^2 x + 5x}{\csc^2 x + 3} + \frac{\cos^2 x - 3\sqrt{x} +6}{\sin^2 x + 6} \frac{\big( 2 \tan x \sec^2 x + 5 \big) \big( \csc^2 x + 3 \big) - \big( -2 \csc^2 x \cot x \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big)^2}[/tex]
Simplify:
[tex]\displaystyle y' = \frac{\big( \tan^2 x + 5x \big) \bigg[ \big( -2 \cos x \sin x - \frac{3}{2\sqrt{x}} \big) \big( \sin^2 x + 6 \big) - 2 \sin x \cos x \big( \cos^2 x - 3\sqrt{x} + 6 \big) \bigg]}{\big( \sin^2 x + 6 \big)^2 \big( \csc^2 x + 3 \big)} + \frac{\big( \cos^2 x - 3\sqrt{x} +6 \big) \bigg[ \big( 2 \tan x \sec^2 x + 5 \big) \big( \csc^2 x + 3 \big) + 2 \csc^2 x \cot x \big( \tan^2 x + 5x \big) \bigg] }{\big( \csc^2 x + 3 \big)^2 \big( \sin^2 x + 6 \big)}[/tex]
We can rewrite the differential by factoring and common mathematical properties to obtain our final answer:
[tex]\displaystyle y' = \frac{\big( -2 \cos x \sin x - \frac{3}{2\sqrt{x}} \big) \big( \tan^2 x + 5x \big) + \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( 2 \sec^2 x \tan x + 5 \big)}{ \big( \csc^2 x + 3 \big) \big( \sin^2 x + 6 \big)} + \frac{2 \cot x \csc^2 x \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big)^2 \big( \sin^2x + 6 \big)} - \frac{2 \cos x \sin x \big( \cos^2 x - 3\sqrt{x} + 6 \big) \big( \tan^2 x + 5x \big)}{\big( \csc^2 x + 3 \big) \big( \sin^2 x + 6 \big)^2}[/tex]
∴ we have found our derivative.
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Topic: Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
If 1 ounce is approximately 28 grams, convert 392 grams to ounces. Round to the nearest hundredth,
Step-by-step explanation:
1 ounce = 28grams
x grams = 392
x = 392/28
x = 14.oo ounces
A box of 100 personalized pencils costs $\$30$. How many dollars does it cost to buy 2500 pencils?
Answer:
$750
Step-by-step explanation:
2500 divided by 100 = 25 and 25 x 30 = 750
Sorry if im wrong
The price for 2500 pencils is $750.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
A box of 100 personalized pencils costs $30.
So, cost of 1 pencil = $30 / 100 = 3/10
Now, the price to buy the 2500 pencils
= 2500 x 3/10
= 250 x 3
= $750
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The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. how long is the blade? assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet
The length of the blade of the windmill will be equal to 7 feet.
What will be the length of the windmill?
We have the equation
[tex]\rm h=7 \ Sin(\dfrac{\pi}{21t})+28[/tex]
At the time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as
[tex]\rm y=A\ Sinwt+k[/tex]
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing the above equations we can conclude that
A = 7
so the difference in blade's end height at Ф = 0° and Ф = 90° is 7 feet.
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Answer:
7ft or option 1
Step-by-step explanation:
You can buy 7 pairs of jeans for $108.50. how many pairs of jeans can you get for $387.50?
Answer:
25 jeans
Step-by-step explanation:
take your total, and divide it by the number of items to get the price of a single item. then, once you have the price of the single item, you take the other price, and divide it by the single price of the jeans, to get the total amount of jeans you can buy.
2. What is the scale factor of the new scale drawing to the original scale drawing (SD2 to SD1)? 10 cm on then
Answer:
To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.
fdddkgStep-by-step explanation:
i need help with this hard question
Answer:
Bottom left = 8
Top right = 15
Middle right = 25
Step-by-step explanation:
Total = 40
3 + 5 = 8
40 / 8 = 5
1 part = 5
5 x 3 = 15
5² = 25
Find YZ and WZ in rectangle WXYZ.
Answer: WZ=10, YZ=15
Step-by-step explanation:
4 cases of Sprite are on sale for $12.
What is the cost per case?
At this rate, how many cases can you purchase for $48?
Answer
One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.
Step-by-step explanation:
How to get the cost for 1 case:
You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.
How to get the amount of cases of sprite you can buy with $48:
divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!
Answer:
It costs $3 per case of Sprite
With 48 dollars, you could buy 16 cases.
Step-by-step explanation:
12/4 = 3 12 dollars divided buy 4 dollars each equals 3 dollars per case
48/3 = 16 48 dollars divided by 3 dollars per case equals 16 cases of sprite
Fill in the missing pieces to solve for x:
Answer:
A: (x-4) squared
B: x+2
C: 9
D: 14
E: 7
F: 2
Step-by-step explanation:
A: This is because x^2 - 8x + 16 factored is (x-4) squared
B: Square root of something squared will remove the square root
C: Minus the variable x and 2 from the right side
D: Factor
E/F: These numbers make the right side become zero
You are putting a 10-foot ladder against your tree house. The tree house is 8 feet above the ground. How far from the tree should the ladder be set on the ground? Round your answer to the nearest tenth, if necessary.
Answer:
6 feet
Step-by-step explanation:
8×8+x×x=10×10
x×x=100-64
x=6