Simplify.
(4a^5b^6)^4
^ means exponent
256a^20 b^24
256a^9 b^10
16a^9 b^10
16a^20 b^24
[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^{n\cdot m}\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^{5\cdot4}b^{6\cdot4}=256a^{20}b^{24}[/tex]
How many atoms are there in 2.50 mol of carbon dioxide? complete the response using standard scientific notation?
Find the distance between the points (-2, 4) and (4, -6).
2√2
2√(10)
2√(34)
Answer: The correct option is (C) 2√34.
Step-by-step explanation: We are given to find the distance between the points (-2, 4) and (4, -6).
We have the distance formula as follows :
DISTANCE FORMULA :
The distance between the points (a, b) and (c, d) is given as
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (-2, 4) and (4, -6) is given by
[tex]D\\\\=\sqrt{(4-(-2))^2+(-6-4)^2}\\\\=\sqrt{6^2+10^2}\\\\=\sqrt{36+100}\\\\=\sqrt{136}\\\\=\sqrt{4\times34}\\\\=2\sqrt{34}.[/tex]
Thus, the required distance between the given points is 2√34 units.
Option (C) is CORRECT.
What is the product? (7.1×10 ^4)⋅(4.8×10 ^3)
3.408×10^7
3.408×10^8
3.408×10^12
3.408×10^13
(04.07)the balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
The balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
Answer:
6 months
If growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12 thn in 6 months the f(x) balance is greater than the g(x) balance.
What type of financial institution account grows?excessive-yield financial savings accounts stand out from conventional financial savings bills in that they praise you with a better interest rate, permitting your cash to grow even quicker as it sits on your account. The interest charge that these debts provide is noted as APY or annual percentage yield.
What account grows the most cash?fees and minimal balance: CDs tend to pay the very best hobby prices of the 3 varieties of savings bills. They commonly require around $1,000 to open, but there are CDs without a minimum beginning balance requirement. CDs typically don't rate a month-to-month rate.
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30 points to who answers this first and will get brainliest answer
In which quadrant of the coordinate graph does point J lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Mitchell has a balance of $1,200 in his first state bank checking account. he deposits a $387.89 pay check, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he gave in his account after the transaction ????
The total present money in his account after all the $400 withdrawals is $1875.01.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Total present money initially = $1200
Deposits check = 387.89 + 437.12 + 250 = $1075.01
Total money after deposit = 1200 + 1075.01 = $2275.01
Money remains after withdrawals of $400
⇒ $2275.01 - $400 = $1875.01.
Hence "The total present money in his account after all the $400 withdrawals is $1875.01".
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How is a rational number that is not an integer different from a rational number that is an integer?
Trent spent 50 minutes at the neighbors house. He spent 2/5 of the time swimming. How many minutes did Trent spend swimming
The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are needed for 15 chandeliers
BN =6n
n = chandeliers
you have 15 chandeliers so n = 15
so BN = 6(15)
BN = 90
you will need 90 light bulbs
Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?
Which one describes the translation of f(x) to g(x) ?
Answer:
a
Step-by-step explanation:
Please help me whith this it is due today.
Determine the range of this set of data.
89,73,84,91,87,77,94
One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
To find Joe's total sales when one-eleventh are cash sales amounting to $380, multiply the cash sales by 11, which results in a total of $4180.
To find Joe's total sales, one would apply the concept of proportions in mathematics. Here is a step-by-step breakdown of the problem:
Identify the fraction of total sales that are cash, which is one-eleventh.
Understand that $380 equals this fraction of the total sales.
To find the total sales, divide the cash sales by the fraction that represents cash sales 1/11
Calculate the total sales by using the following equation: Total Sales = Cash Sales / (1/11) = $380 / (1/11).
Perform the division: Total Sales = $380 * 11 = $4180.
Hence, Joe's total sales for the week were $4180.
When Angela begins her drive, she is 400 mi from home. She drives at an average of 50 mph until she gets home. Graph the situation.
What is the value of g? 3g + 4 5 = 4g - 8 4?
Answer: g=7
Step-by-step explanation:
Change the equation x^2+8x+y^2-12y=12 to graphing form
What os a comparison of two quantities and can be written as a fraction when the two quantities have two different units?
A veterinary office takes out a loan to purchase a new set of digital animal scales that costs $12,250. The interest rate is 6.5%, and the total interest paid is $2,388.75. How many years is the loan for?
The loan is for approximately 3 years.
Explanation:To find the number of years for the loan, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Given that the principal is $12,250, the rate is 6.5%, and the total interest paid is $2,388.75, we can rearrange the formula to solve for time:
Time = Interest / (Principal * Rate)
Plugging in the values, we get:
Time = 2,388.75 / (12,250 * 0.065)
Simplifying the expression, we have:
Time ≈ 3 years
A storage tank for propane gas is to be constructed in the shape of a right circular cylinder of altitude 20 feet with a hemisphere attached to each end. determine the radius x so that the resulting volume is 216π ft3.
To determine the radius x of the storage tank, we need to break down the shape into smaller parts. We can set up a cubic equation to find the value of r, and then calculate the radius x.
To determine the radius x of the storage tank, we need to break down the shape into smaller parts. First, let's consider the cylinder. The volume of a cylinder is given by V = πr^2h, where r is the radius and h is the altitude. In this case, the altitude is 20 feet. So, the volume of the cylinder is Vcylinder = πr^2(20).
Next, let's consider the hemispheres attached to each end. The volume of a hemisphere is given by V = (2/3)πr^3. Since there are two hemispheres, the total volume of the hemispheres is Vhemispheres = (2/3)(2)(πr^3) = (4/3)πr^3.
Given that the resulting volume is 216π ft3, we can set up the equation:
216π = Vcylinder + Vhemispheres = πr^2(20) + (4/3)πr^3
Simplifying and rearranging the equation, we get:
3r^3 + 60r^2 - 216 = 0
By solving this cubic equation, we can find the value of r. Once we have the value of r, we can determine the radius x by subtracting the radius of the hemispheres (r) from the total radius of the tank (x+r).
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if five more than three times x is equal to 32, find the value of x.
it also says to show all work so that would really be appreciated!!
The height of a triangle is 4 feet more than four times the length of the base. The area is 24 square feet. Find the base and the height. Show your work and explain the steps you used to find the solution in order to receive full credit.
Chrissy walked 550 meters in 7 minutes and 20 seconds. If each lap is 25 meters, which is Chrissy’s MOST LIKELY time per lap in seconds? *A) 20 seconds b. 22 seconds c 42 seconds d. 64 seconds
Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2.75 per gallon and Marin’s car gets 25 gallons of gas per mile, about how much does Martin spend on gas to get to work? a. 3.87 b. 4.05 c. 10.64 d. 11.14
dora gets paid an hourly wage, which increases if she works over 40 hours per week. she worked a total of h hours last week, and the number of dollars she got paid was 30 ×40+45 ×(h-40). what does 45 represent in this situation?
A. the number of dollars per hour she got paid for all hours under 40
B. the number of dollars per hour she got paid for all hours over 40
C. the number of hours she worked over 40
D. the total number of hours she worked
When is the sum of two complex numbers a real number? When is the sum of two complex numbers an imaginary number?
The sum of two complex numbers resulting in a real or imaginary number depends on the cancellation of their real or imaginary components upon addition.
When the sum of two complex numbers is a real number: For the sum of two complex numbers to be a real number, their imaginary parts must cancel each other out. This happens when the imaginary parts have equal magnitude but opposite signs, resulting in the cancellation upon addition.
When the sum of two complex numbers is an imaginary number: The sum of two complex numbers is an imaginary number when the real parts cancel each other out. This occurs when the real parts have equal magnitude but opposite signs, leading to the elimination of the real components.
what is the value of x?
Len and three of his friends decide to rent a house and split the cost evenly. They each paid $725 towards the total move-in cost of first month's rent, last month's rent, and a security deposit. If rent is $800 per month, how much was the security deposit?
a.
$575
b.
$725
c.
$1,300
d.
$2,100
Answer:
its 1300
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope 5 and y-intercept -4.
A. y = -4x + 5
B. y = 5x + 4
C. y = 5x - 4
D. 5x - y = 4
what is the measure of each interior angle in a regular hexagon?
HELP?