The triangle can be used to calculate the coefficients of the expansion of (a+b)n ( a + b ) n by taking the exponent n and adding 1 . The coefficients will correspond with line n+1 of the triangle. For (x−4)4 ( x - 4 ) 4 , n=4 so the coefficients of the expansion will correspond with line 5 .
Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.
Answer:
1/16Step-by-step explanation:
(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/161) 13 + 3W - 9 + 16w
Answer:
4+19W
Step-by-step explanation:
You would just simplify the terms, 13-9=4 and 3W+16W=19W
Answer:
4+19w
Step-by-step explanation:
Combine all like-terms. So, do 13-9, which gives you 4. Then, combine 3w and 16w, which gives you 19w. Therefore, the answer is 4+19w. Hope this helped!
PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 m/h. What is this speed in km/h and km/min?
1 mile = 1.61 kilometers
1 hour = 60 minutes
Round your answers to the nearest tenth. The speed is equivalent to
( ) km/h,
or ( ) km/min
Answer:
160 kilometers per hour
9560 kilometers per minute
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. Let P represent the number of female insects in a population and S the number of sterile males introduced each generation. Let r be the per capita rate of production of females by females, provided their chosen mate is not sterile. Then the female population is related to time t by
Answer:
P + S / P [(r - 1) P - S] dP
Step-by-step explanation:
If r = 0.10 and S = 900 then,
P + 900 / P [(0.10 - 1) P - 900] dP
Solving the equation we get,
P + 900 = (B - 0.9A)P - 900A
If A = -1,
B = 0.10
t = 0 and P = 10,000
ln 10000 - 1 /9 ln (0.9 * 10000 + 900) + C
C = 10.2326.
If a = 2, b = -3 and c = -4, evaluate |a - 5| - 1
Answer:
2
Step-by-step explanation:
the absolute value of a-5 is 3, 3-1 is 2
Answer:
2
Step-by-step explanation:
1) I a - 5 I = 3 because -2 - 5 equals -3, but the absolute value of -3 is 3.
2) 3 - 1 = 2
Hope this helps!
22 - [1/2 • (5 x 4) + 4]
-J=34
Help please please
Answer:
-34
Step-by-step explanation:
Pls do this quickly
Thank you
Answer:
288 cu in
Step-by-step explanation:
The Two end pieces
l = 6
w = 4
h = 4
V = l*w*h
V = 6*4*4
V = 96
But there are two end pieces. So the volume for both is 2 * 96 = 192
Middle Piece
L = 8
w = 4
h = 3
Volume = l * w * h
Volume = 8 * 4 * 3
Volume = 96
Total Volume
Total Volume = 96 + 192
Total Volume = 288 Cu in
ferds basement is flooded. the basement is 3.4 metes below the ground floor the water is 1.2 meters high
Answer:
The untouched space in the basement is the upper 2.2 meters.
Step-by-step explanation:
What is the absolute value of -2 2/3 as a mixed number in simplest form
Answer:
2 2/3
Step-by-step explanation:
1) First, find the absolute value of -2 2/3. The absolute value is 2 2/3.
2) Next, convert 2 2/3 to an improper fraction because we want to find the simplest form. The improper fraction is 8/3.
3) Finally, 8/3 cannot be reduced any further, so the answer is 2 2/3.
Hope this helps!
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]-2\frac{2}{3}[/tex]
We have to write its absolute value.
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
Example:
|-1| = 1
|1| = 1
|-2| = 2
Now,
| [tex]-2\frac{2}{3}[/tex] | = [tex]2\frac{2}{3}[/tex]
This is in its simplest form.
Thus,
The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].
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Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3
Answer:
Go to symbolab.com, online calculator, so good trust me
Step-by-step explanation:
The average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.
What is average rate of change of function?"It is a measure of how much the function changed per unit, on average, over that interval."
What is the formula average rate of change of function?The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
For given question,
We have been given a function [tex]g ( x ) = 5 x^3 + 4[/tex]
We need to find the average rate of change of function g(x) from x = − 1 to x = 3
Here, a = -1 and b = 3
[tex]g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1[/tex]
and the value of g(b) is,
[tex]g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139[/tex]
Using the formula of average rate of change of function,
[tex]\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35[/tex]
Therefore, the average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.
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Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he has determined that the average age of a Brooklyn College student is 20 years and 6 months. He has further determined that the range of ages of the students on campus follows a normal distribution with a standard deviation of 2 years. What is the probability of a randomly chosen student being exactly 21 years old
Answer:
The probability of of a randomly chosen student being exactly 21 years old.
= 1.293
Step-by-step explanation:
Step(i):-
Given Population size n = 500
Mean of the Population = 20 years and 6 months
= [tex]20 + \frac{6}{12} = 20 +0.5 = 20.5 years[/tex]
Standard deviation of the Population = 2 years
Let 'X' be the range of ages of the students on campus follows a normal distribution
Let x =21
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2[/tex]
The probability of a randomly chosen student being exactly 21 years old.
P( Z≤21) = 0.5 + A( 0.2)
= 0.5 +0.793
= 1.293
Select the story problem that this division problem represent 1/2 2/5
Answer:
12 is the correct answer of the question
I forgot how to set up 9x+3<21
Answer:
Easy as pie:9x+3<21=11x<21.This means 11x<21. Eleven x is less than 21.
Which is true.
Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
book?
Answer:
25 Minutes
Step-by-step explanation:
Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
Time taken to read 3/5 of the book = 1/4 hours
To get the time taken to read 1 book, we will divide 1/4 hours by 3/5
Time taken to read 1 book = [tex]\frac{1}{4}\div \frac{3}{5}[/tex]
The division sign changes to multiplication and 3/5 is changed to its reciprocal (5/3)
Time taken to read 1 book = [tex]\frac{1}{4}\times\frac{5}{3}[/tex]
Time taken to read 1 book = [tex]\frac{5}{12}[/tex]
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
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Mark is trying to raise money for his school. His goal is to raise $400. His mom gave him $30, and he sells candy bars for $1.75 a piece to raise the money. he sells on average about 45 candy bars a day. How many candy bars will mark have to sell and about how many days will it take to reach his goal?
Answer: It will take 5 days to reach his goal
Step-by-step explanation:
How I got 5 days was if you do
1.75 x 45 = 78.75
SO you add 30.oo his mom gave his and 78.75
keep add 78.75 intill
you may go over bugget.
I went over my work on a caculator
and I got 423.75
Let me know if you get something different or I did something wrong.
A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese was on each slice?
The first step in setting financial goals is
Answer:
step #1: Set Realistic and Achievable Goals
Step-by-step explanation:
Answer:
See what matters to you.
Step-by-step explanation:
You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.
HOPE IT HELPED
I dont understand this question.
combine liked terms the 7 and 2 y3. and then arrange them in exponential order
Will give brainliest answer
Answer: (-3 , 6)
dhtyjmkuhluyjtefey
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present. a) t>20 b) t<20 c) 20 less than or equal to t d) t less than or equal to 20
Answer:
get help by a tutor
Step-by-step explanation:
Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.
Answer:
B. The product of two irrational numbers can be rational or irrational.
Step-by-step explanation:
An irrational number is a number that is real and it cannot be written or expressed as a fraction.
For example , 2√3, √5 are irrational numbers.
A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers
In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product
a) √2•√2 = √2 × √2 = √4 = 2 = rational number
b) √5•√7 = √5 × √7 = √35 = Irrational number
c) √2•18 = √2 × 18 = 18√2 = Irrational number
d) √2•√6 = √2 × √6 = √12 = Irrational number.
My conclusion from the above results is option B, which states that
B. The product of two irrational numbers can be rational or irrational.
6(42 +3)+5(22 +5) +5 = 34 + 48
Answer:
22+5=27 42+3=45+5=50(27+5)=32 34+8=42 332+42=374.
Step-by-step explanation:you have to do the ones that are in perenthesis.
-2x – 4 + 5x = 8 steps to solve
Answer:
x = 4
Step-by-step explanation:
[tex] - 2x - 4 + 5x = 8[/tex]
Step 1: Collect like terms and simplify
[tex] - 2x + 5x = 8 + 4 \\ 3x = 12[/tex]
Step 2: Divide both sides of the equation by 3
[tex] \frac{3x}{3} = \frac{12}{3} [/tex]
Simplify
[tex]x = 4[/tex]
Answer:
x=4
Step-by-step explanation:
What’s the correct answer please help
Answer:
I THINK its 60
Step-by-step explanation:
The points (7,1) and (x, -4) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
-2
Step-by-step explanation:
in geometry I need to know and find the x-Find the value of x
Answer:
x = 22
Step-by-step explanation:
Degree of measure of a line: 180°
Step 1: Set up equation
5x + 6 + 3x - 2 = 180
Step 2: Solve for x
8x + 6 - 2 = 180
8x + 4 = 180
8x = 176
x = 22
(C) It passes through the points (0,5) and (1,8).
Answer:
Step-by-step explanation:
(8-5)/(1-0) = 3/1 = 3
y - 5 = 3(x -0)
y -5 = 3x - 0
y = 3x + 5
/5/= can someone please explain this?
Answer: / = divided by
Step-by-step explanation:
Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). There are 10 cards left in the deck, and three are hearts. What is the probability that the two cards dealt to Satara (without replacement) will both be hearts? Answer choices are in percentage format, rounded to the nearest whole number.
Answer:
7%
Step-by-step explanation:
Given the following :
Total Number of cards left in deck = 10
Number of hearts left in deck = 3
Probability = (required outcome / Total possible outcomes)
Required outcome = hearts card in deck
Two cards are to be dealt to Satara without replacement :
Probability of 1st card being hearts :
P(1st card being hearts) = required outcome / Total possible outcomes
P(1st card being hearts) = 3 / 10
Probability of 2nd card being hearts :
Since it is without replacement :
Required outcome = (3 - 1). = 2
Total possible outcomes = (10 - 1) = 9
P(2nd card being hearts) = 2 /9
Probability of the two cards being hearts :
(3 / 10 × 2/9) = 6 /90 = 0.0666
0.06666 × 100% = 6.66%
= 7% (nearest whole number)
