The domain of the function → y = √√√x is -
Domain → [0, + ∞)
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
Given is the function -
y = √√√x
Domain is the set of values along the {x} - axis. The given function is -
y = √√√x
y = √√√x = \($x^{\frac{1}{8} }\)
Refer to the graph of the function attached. We can write the domain as -
Domain → [0, + ∞)
Therefore, the domain of the function is -
Domain → [0, + ∞)
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find the difference between (-2,3) and (6,3)
Answer:
5.099
Step-by-step explanation:
Answer:
The difference between (-2,3) and (6,3) is 8
Step-by-step explanation:
Find the SA if this Square Pyramid:
(Don’t forget all 4 sides of the square are the same length which also means all four lateral triangles will be the same area)
Step-by-step explanation:
Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²
Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following
prices,
Company A charges $79 and allows unlimited mileage.
Company B has an initial fee of S65 and charges an additional S0.70 for every mile driven
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
65 + .70(20)= 79 dollars
Step-by-step explanation:
65+0.70miles = Fee
this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same
please mark brainliest if u can i need 5 more :)
Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.
Remove the parentheses and combine the like terms:
7 - -9 = 7+ 9 = 16
6i - -8i = 6i +8i = 14i
The answer is 16 + 14i
Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
An object that weighs 18 pounds on Mercury weighs approximately 60 pounds on Earth. A rock weighs 120 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth
Answer: 400
Step-by-step explanation:
I'm not sure 400
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
solve the following portion for x/11=8/3. round to nearest tenth
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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Select the correct expanded form for (Two-thirds) Superscript 4.
Two-thirds times two-thirds times two-thirds times two-thirds
Two-thirds times two-thirds times two-thirds
Two-thirds + two-thirds + two-thirds + two-thirds
Two-thirds times 4
The correct expanded form using Laws of exponents is:
Two-thirds times two-thirds times two-thirds times two-thirds
How to use laws of exponents?Some of the laws of exponents are:
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, we want to solve the expression given as: (²/₃)⁴
When we expend this, we arrive at:
²/₃ × ²/₃ × ²/₃ × ²/₃
This among the options is Option A which is:
Two-thirds times two-thirds times two-thirds times two-thirds
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Find the balance in Mrs. Charlie's account after 6 years, if she had deposited 11000 in her account 4 years ago. The bank pays a simple interest of 8.4% annually
The balance in Mrs. Charlie's account after 6 years, if she had deposited 11000 in her account 4 years ago = $20,240.00
We know that the formula for the simple interest is:
A = P(1 + rt)
where, A = Total Amount (principal + interest)
P = Principal Amount
R = interest rate in percent
r = interest rate in decimal
r = R/100
t = Time Period
Here, P = 11000, R = 8.4%
She had deposited 11000 in her account 4 years ago and we need to find her account balance after 6 years.
So, t = 10 years
Now we convert R percent to r a decimal
r = R/100
= 8.4%/100
= 0.084 per year.
Using above formula,
A = 11000(1 + (0.084 × 10))
A = $20,240.00
Therefore, the total amount accrued, from simple interest on a principal of $11,000.00 at a rate of 8.4% per year after 6 years is $20,240.00.
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write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Australia Gold Medals:7 Total Metals:35About _% of Australia's total metals were gold
Determine the percent of total metal is gold.
\(\begin{gathered} \frac{7}{35}\times100=\frac{1}{5}\times100 \\ =20 \end{gathered}\)So 20% of Australia's total metals were gold.
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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Identify how the Virginia declaration of rights helped lead to an expansion of civil rights both in the state of Virginia and later in the entire United States
Answer:
yeah
Step-by-step explanation:
wrong subject dude
things go wrong sometimes
you lost 46 points
\(\lim_{n \to \infty} a_n\)
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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The local high school had 1,000 bottles of water on hand. The school issued 1⁄4 of the supply to the 9th grade, 1⁄5 of the supply to the 10th grade, and 2⁄5 of the supply to the 11th grade. How many bottles remained for the 12th grade?
Answer:
150
Step-by-step explanation:
Hope this helps!
Which statement correctly compares -9 and 2?
A. 92 because 9 is to the left of 2 on a number line.
B. 9 is to the left of 2 on a number line. -9> 2 because 92 because
C. 9 is to the right of 2 on a number line. D. 9 > 2 because 9 is to the right of 2 on a number line.
The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.
What is a number line?In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.
Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.
In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A
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3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
Previous3Next →Equations and Inequalities: Mastery Test3Select the correct answer.Which inequality is equivalent to the given inequality?-4(3 + 7) < 3(- 2)OA. -71 <22OB. -7 > 22Ос. -7 > - 34OD. -7 -34ResetNext
We have the following inequality given:
\(-4(x+7)<3(x-2)\)For this case we can distribute the -4 and 3 and we got:
\(-4x\text{ }-28\text{ < 3x}-6\)Now we can subtract 3x from both sides of the inequality and we got:
\(-4x-3x-28<3x-3x-6\)\(-7x-28<-6\)Now we can add 28 in both sides of the inequality and we got:
\(-7x-28+28<-6+28\)\(-7x<22\)HELP!!! PLEASE!!!!!!!!!!
In the first week of July, a record 1,100 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 350 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
PLEASE ANSWER ASAP Which function has a constant additive rate of change of –1/4?
Answer:
the first graph
Step-by-step explanation:
The first one - y = 1/4x + 3/2.
sorry im a bit late but hopefully this helps
Answer:
Step-by-step explanation:
first one
600 is how many times as much as 200
Answer:
3
Step-by-step explanation:
200 x 3 = 600
We solve through simple division.
To do this, divide 600, which is the largest number, by 200, which is the smallest number.
600 ➗ 200 = 3Therefore, 600 is three times 200.
In a probability experiment Eric flipped a coin 30 times the coin landed on heads 20 times what is the ratio of heads to tails in the experiment
Answer:
it would 600
Step-by-step explanation:
Answer:
It's 2/1 i promise !!
Step-by-step explanation:
First, find the number of times the coin landed on tails.
30 - 20 = 10
The ratio of heads to tails can be expressed in three ways.
1. 20 to 10
2. 20:10
3. 20/10
The fraction 20/10 can be simplified to . 2/1
Help help help math math math
Answer:
2048ft^3
Step-by-step explanation:
First, we find the radius. We get this by dividing the diameter by 2.
16 / 2 = 8
Then we solve the volume equation, using 3 for pi.
4/3 * 3 * 8^3
4/3 * 3 * 512
12/3 * 512
4 * 512 = 2048
Answer:
2048ft^3
Step-by-step explanation:
9. 16 is 40% of what number? If necessary, round to the nearest tenth. A 40.0 B 0.4 C 640.0 D 6.4
Answer:
A
Step-by-step explanation:
16 x 100 = 1600
1600 / 40 = 40.0
Answer:
A. 40.0
Step-by-step explanation:
Solve the equations by substitution
2x - y = 2
3x + 4y = 6
Answer:
i hope its readable lol-