Answer:
In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set
hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________
Answer:
95.7
Step-by-step explanation:
Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of [tex]\sqrt{7569} +\sqrt{75.69}[/tex].
Simplify the square roots.
[tex]\sqrt{7569} +\sqrt{75.69}[/tex]
[tex]87 + 8.7[/tex]
Now when we add we get 95.7 or 96 rounded to the nearest tenth.
What is the equivalent exponential expression for the radical expression
below?
8 squared
Answer:
64
Step-by-step explanation:
=> 8²
=> 8 × 8
=> 64
For g(x)=7x, describe the value of x when g(x)>28. When g(x) >28, x > (solve for this!)
Answer:
Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.
Answer:
x > 4
Step-by-step explanation:
g(x)=7x
g(x) >28
Replace g(x) with 7x
7x > 28
Divide by 7
7x/7 > 28/7
x > 4
Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Answer:
$(x-100)
Step-by-step explanation:
Phil entered the poker tournament with $100.He received a price of $x.His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)
Answer:
x - 100
Step-by-step explanation:
Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample
Answer:
10 teenagers
Step-by-step explanation:
using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650
no of teenagers = 10
volume of a cylinder with a radius of 3 and a height of 2
Answer:
56.52
Step-by-step explanation:
V=πr²h
V=3.14*3²*2=56.52
Which equation matches the graph?
A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24
can someone help me expand this polynomial?
Answer:
Step-by-step explanation:
(k-p)(k-n)
=k^2 -(p+n)k+pn
this is the expanded form..
please mark me as the brainliest
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Multiply the first 2 terms in each brackets
k x k = k^2
Multiply the two outside terms in the brackets
k x - n = -kn
Multiply the two inside terms
-p x k = -pk
Multiply the last two terms
-p x -n = pn
Place all the values together to get your answer of:
k^2 - kn - pk + pn
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number
[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
How many centimeters are there in 740.2
millimeters?
Answer:
74.02
Step-by-step explanation:
divide by 10
Answer:
74.02 Centimeters
Step-by-step explanation:
1 centimeter = 10 millimeters
74.02 centimeters = 740.2 millimeters
Find the quadractic function to model the values in the table.
Answer: y=3x^2+3x-3
(the first option)
Answer:
3y²+3x-3
Step-by-step explanation:
the first choice
How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]
Answer:
669.333333333
Step-by-step explanation:
divide 2008 by 3
Answer:
670
Step-by-step explanation:
Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]
So there are [tex]$\boxed{670}$[/tex] numbers.
Hope this helped! :)
Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15
=============================================================
Explanation:
Calculate the unit rate for the first bag
8 kg = 26.04 dollars
8/8 kg = 26.04/8 dollars ... divide both sides by 8
1 kg = 3.255 dollars
1 kg = 3.26 dollars .... rounding to nearest cent
For the first bag, the unit rate is about 3.26 dollars per kg
---------------
Repeat for the second bag
9 kg = 29.15 dollars
9/9 kg = 29.15/9 dollars ........ divide both sides by 9
1 kg = 3.23888888888889 dollars (approx)
1 kg = 3.24 dollars .... rounding to nearest cent
The unit rate for the second bag is roughly 3.24 dollars per kg
We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.
What is the supplement of ∠A if m∠A = 78°?
Answer:
The supplement is 102
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement
x+ 78 = 180
subtract 78 from each side
x+78-78 = 180-78
x = 102
Answer:
102
Step-by-step explanation:
The original price of a game system was reduced by $99.
If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.
Answer:
P-99 as you would subtract 99 from original
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What are the domain and range of the function f(x)=-x+3 - 2?
Answer:
Domain
R (all real numbers)
Range
R (all real numbers)
Step-by-step explanation:
Please answer this question !! 20 points and brainliest !!
Answer: b.2x
Step-by-step explanation:
why? because 2 can be divided into all of the numbers evenly!
all the numbers have (x)
it wouldn't be (2x^2) ,because one of the numbers have x^3
Answer:
2x^2
Step-by-step explanation:
You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2
Simplify the expression (64)2
Answer:
128 or 4,096
Step-by-step explanation:
If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.
The simplified value is 4096.
what is algebric identities?Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.
The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + abGiven:
64²
Now, we have to split the 64 into 60+4
(60 + 4)²
Now using the algebric identity
(a+ b)² = a² + b² + 2ab
So,
(60 + 4)²
=60²+2*60*4+4²
=3600+ 480+16
=3600+496
=4096
Hence, the simplified value is 4096.
Learn more about Algebraic identities here:
https://brainly.com/question/19426180
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Solve this system below by elimination. -x-2y=-9 2x+2y=9
In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equation to model this situation, let x represent the number of years since 2005.
Answer:
The expression is: [tex]p(x) = 17500*(1.03)^x[/tex]
Step-by-step explanation:
Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.
In 2005 the population is:
[tex]p(0) = 17500[/tex]
In 2006 the population is:
[tex]p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)[/tex]
In 2007 the population is:
[tex]p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2[/tex]
In 2008 the population is:
[tex]p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3[/tex]
We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:
[tex]p(x) = 17500*(1.03)^x[/tex]
Answer:
This situation represents exponential growth
The rate of growth or decay, r, is equal to 0.10
So each year the number of residents in the town is 1.10 times the number in the previous year.
There were around 14,641 residents in the town 4 years after 2005.
Step-by-step explanation:
Since the number of residents increases by a constant percentage each year, this situation represents exponential growth.
The number of residents increases by 10% per year. So the rate of growth, r, is 10%, or 0.1.
Use the equation to find b, the growth factor by which the population increases each year.
So the population increases by a factor of 1.1 each year. This growth factor means that the number of residents in the town in any year is 1.1 times the number in the previous year.
Write the exponential expression to model the town’s growth by substituting 10,000 for A and 1.1 for b in the general form of the exponential expression.
Set this expression equal to 14,641, and isolate the exponential term.
Use a table of values to rewrite 1.4641 as a value with a base of 1.1.
So there were around 14,641 residents in the town 4 years after 2005.
A triangle on a coordinate plane is translated according to the rule T 3.5(x, y). Which is another way to write this rule?
:
(x,y) - (x-3, y + 5)
(x,y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)
Mark this and return
Save and Exit
Next
Submit
Answer:
(x, y) → (x + 3, y + 5)
Step-by-step explanation:
Solve for a side in right triangles
Answer:
? = 7.45
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 20 = 7 / ?
Multiply each side by ?
? cos 20 = 7
Divide each side by cos 20
? = 7/ cos 20
? =7.449244407
To the nearest hundredth
? = 7.45
Answer:
7.45 units
Step-by-step explanation:
[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]
Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]
Answer:
Step-by-step explanation:
[8/63] + [ 4/15 ]
= (120 + 652)/945
= 0.82
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
3
Step-by-step explanation:
The degree of polynomial is 3
Answer: It's a THIRD degree polynomial.
Step-by-step explanation:
Micah went to the grocery store the other day and there were no price tags on anything! She bought 3 loaves of bread and 1 milk jug and when the cashier scanned it, the total was $9. Then she saw the person behind her bought 1 loaf of bread and 2 milk jugs. His total was $5.50. Micah walked out wondering: how much does one loaf of bread cost?
Answer:
$2.75
Step-by-step explanation:
We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.
That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.
Hope this helped :)
I am thinking of 3 consecutive numbers less than 100.The first number has 5 as one of its factors, the second number has 1 as its factors and the last number has 2 a one of its factors
Answer:
10, 11 and 12.
Step-by-step explanation:
A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.
Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.
What is the value of log625 5?
Answer:
1/4
Step-by-step explanation:
625^(1/4) = 5
Answer:
1/4
Step-by-step explanation:
log625 5= log 5/ log 625 = log 5 / log 5^4 / = log 5 /4 log 5= 1/4
Alexa wrote down a decimal number that is greater than 2.4 but less than 2.8. Select two numbers that Alexa could have written down. * 1 point 2.50 2.41 2.39 2.40 2.08
Answer:
2.41 and 2.50
Step-by-step explanation:
Here, we shall be selecting the correct answer from the option.
a. A is correct
the number we want is between 2.4 and 2.8
2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria
b. 2.41 is also correct
This is because it is greater than 2.4 but less then 2.8
c. wrong
2.4 is same as 2.4, it does not meet the criterion
d. wrong
the value is far lesser than 2.4
5w=-2x+ 3/4 y+z for z
Answer:
z= 5w+2x -3/4 y
Step-by-step explanation:
add 2x to both sides and subtract 3/4 y.
From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?
Answer:
31/10 or 3 1/10
Step-by-step explanation:
11 - 23/5 - 33/10