Which of the following sets represents the domain of the function shown?
{(2, 7}, (15, 13), (21, –4), (24, 18)}
A) {-4,2,7,13,15,18,21,24}
B) {7,2),(13, 15),(-4,21),(18,24)
C) {2,15,21,24}
D) {-4,7,13,18}
A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x - a, equals zero.
A. True
B. False
Answer: True
Step-by-step explanation:
What is 1/10 of 0.092?
The product of 8 and a number q is at least 32.
Equation or Inequality?
a baker makes 84loaves of bread but she burns 4 of them what fraction of the loaves does the baker burn? 1/88, 1/80,1/21,1/20 ...?
(Upvote. Explain?)
Which ordered pairs in the form (x, y)(x, y) are solutions to the equation 3x−4y=21
Select each correct answer.
(11, 3)
(7, 0)
(−1, −6)
(−3, 3)
Answer:
(7,0) is ur answer my dude
Step-by-step explanation:
A line segment has an endpoint at (5, 2) and has a negative slope. Which of the following points could be the other endpoint?
A. (6, 3)
B. (5, 1)
C. (4, 3)
D. (4, 1)
the expression -8x3(7x6-3x5) is equivalent to
The expression -8x³(7x⁶ - 3x⁵) simplifies to -56x⁹ + 24x⁸ by applying the distributive property.
The expression -8x³(7x⁶ - 3x⁵) is an example of algebraic multiplication where we apply the distributive property. To simplify, we distribute -8x³ across the terms inside the parentheses.
Here's the step-by-step simplification:
-8x³ × 7x⁶ = -56x⁹
-8x³ × -3x⁵ = 24x⁸
Combining these results, the entire expression simplifies to:
-56x⁹ + 24x⁸
This is an algebraic expression in its simplified form, representing the product of a monomial and a binomial.
Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast?
FlybynightSavings.com is offering a savings account that pays 28% compounded continuously. How much interest would a deposit of $3,000 earn over 5 years? (Round your answer to the nearest cent.)
The continuous compound interest of a $3,000 deposit with an annual rate of 28% over 5 years would be approximately $9,156.58.
Explanation:The question pertains to continuous compound interest, which is represented by the formula A = P imes ert, where A is the final amount, P the principal amount, r is the interest rate (written in decimal), t is the time in years, and e is the base of natural logarithms.
Given that P=$3,000, r=28/100=0.28 and t=5 years, you would substitute these values into the formula to get A = $3000 imes e(0.28 imes 5).
Computing this, gives:
A = $3000 imes e1.4 = $3000 imes 4.0552 (approximately).
So, A = $12156.58 (rounded to the nearest cent).
The interest earned would therefore be: A - P.
Thus, the interest would be $12156.58 - $3000 = $9156.58.
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To find out how much interest a deposit of $3,000 would earn over 5 years with an interest rate of 28% compounded continuously, we would need to use the formula for continuously compounded interest, which is A = P*e^(rt).
Here,
A represents the total amount of money accumulated after n years including interest,
P is the principal amount, which is the initial amount of money,
r refers to the annual interest rate expressed in decimal form, and
t is the time the money is invested for in years.
Given in the problem we have P = $3000, r = 28% = 0.28, and t = 5 years.
Substituting these values into the formula we get:
A = 3000 * e^(0.28*5)
Solving this would yield the total amount accumulated after 5 years.
Next, we would need to calculate the accrued interest. This is done by subtracting the principal amount (the initial deposit) from the total amount.
So, the interest earned would be calculated as:
Interest Earned = Total Amount - Initial Deposit.
The numerical calculation of these formulas provides us the result that the total amount after 5 years would be approximately $12,165.60 and the interest earned would be approximately $9,165.60.
Thus, a deposit of $3000, with an interest rate of 28% compounded continuously over 5 years, would earn you interest of about $9,165.60.
This is of course rounded to the nearest cent as required.
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"1.Provide the reasons for the proof.
Given: m angle1 = m angle2
Prove:
Answer:
StatementsReasons
a. m angle 1 = m angle 2a. Given
b. angle 1 is supplementary to angle 2.b. Definition of supplementary angles.
c. m angle 1 + m angle 2 = 180 c.
d. m angle1 + m angle1 = 180
2(m angle1) = 180d.
e. m angle1 = 90e.
f. angle 1 is a right angle.f. GIVEN OR PROVE IF PROVE PUT REASON....EXAMPLE: SUPPLEMENTARY......"
WILL UPVOTE
Solve: 16x2 − 81 = 0.
x = 4, 9
x = −4, −9
x = 9 over 4, x = −9 over 4
x = 81 over 16, x = −81 over 16
What value in place of the question mark, makes the polynomial below a perfect square trinomial?
x2+24x+? ...?
Which is a rational function?
A. y=x^2-x+4
B. 2/x
C. x-3^3/x^2
D. x-5/2
...?
The correct answer is: y=2/x . A rational function is the quotient of two polynomial functions. Notice that (x - 5)/2 can be simplified into a single polynomial function, so it is not a rational function.
A blouse that cost $16.85 is on sale for 45% off. What is the amount of the discount?
Answer: the answer
Step-by-step explanation: is 7.58
The amount of the discount if A blouse that cost $16.85 is on sale for 45% off is $7.6.
What is percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
The cost of the blouse, c = $16.85
The discount of the sale, d = 45%,
Calculate the amount of discount as shown below,
The amount of discount = 45% of The cost of the blouse
The amount of discount = 45 / 100 × 16.85
The amount of discount = 0.45 × 16.85
The amount of discount = 7.5825
Thus, the amount of the discount is $7.6.
To know more about percentages:
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Add this fraction 6 3/8 4 1/8
It costs $4 to enter a fair. each ride costs 2.50. You have $21.50. How many rides can you go on?
State if the three numbers can be the measures of the sides of a triangle
In mathematics, specifically geometry, we can determine whether three given numbers can be the sides of a triangle by applying the Pythagorean theorem (a² + b² = c²). For instance, the sides with lengths 3, 4, and 5 can form a right triangle because 3² + 4² equals 5².
Explanation:
The subject question is about determining whether three given numbers can form the sides of a triangle. This is an area of Mathematics that deals with geometry, specifically triangles.
The knowledge of Pythagorean theorem which states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, often written as a² + b² = c², helps to verify if the three given numbers are the lengths of the sides of a triangle.For example, if given lengths are 3, 4, and 5. We square each side (9, 16, and 25 respectively) and then, according to Pythagorean Theorem, add together the squares of the two smaller sides to see if they equal the square of the largest side (9 + 16 = 25), the numbers do follow the rule of the Pythagorean Theorem, hence they could form the sides of a right triangle.Learn more about Pythagorean theorem here:
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given the expression below, which is the best process for simplifying the expression?
(-5sqrt[2]-sqrt[6])(sqrt[3]+2sqrt[2])
a. combine like terms, distribute the radicals; simplify the radicals
b. combine like terms, simplify the radicals; distribute radicals
c. distribute the radicals, simplify the radicals, combine like terms
d. none of the above. ...?
Answer:
distribute the radicals, simplify the radicals, combine like terms
Step-by-step explanation:
(-5sqrt[2]-sqrt[6])(sqrt[3]+2sqrt[2])
[tex](-5\sqrt{2})-\sqrt{6} )(\sqrt{3} +2\sqrt{2} )[/tex]
To multiply it , we apply FOIL method
Distribute the radicals inside the second parenthesis
After distributing the radicals inside the second parenthesis we multiply and simplify the radical as much as we can
Then we combine like terms to simplify further
distribute the radicals, simplify the radicals, combine like terms
luke has $5 more than sam . together they have $73.how much does each have
Which function is NOT continuous?
a. your altitude as a function of time while flying from reno to dallas?
b. time to travel from miami to pensacola as a function of driving speed?
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls?
d. area of a circle as a function of radius.
Answer:
C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Step-by-step explanation:
a test is worth 80 points multiple choice questions are worth 2 points and short answer questions are worth 4 points if the test has 25 questions how many mutiple choice questions are there
For Apex Users 2m+4s=80
What is the simplest form of expression? 2a^2b^2/4a
Final answer:
To find the simplest form of the expression 2a^2b^2/4a, you divide both the numerator and the denominator by the common factor 2a. The resulting simplest form of the expression is ab^2/2.
Explanation:
The student has asked: What is the simplest form of the expression 2a^2b^2/4a? The simplest form is achieved by simplifying the expression through division since there are common factors in the numerator and the denominator. Here, we can divide both the numerator and the denominator by 2a, which is a common factor. This simplification process will give us the simplest form of the expression.
To simply the expression 2a2b2/4a, we can follow these steps:
Divide the numerator and denominator by the common factor 2a.This results in a2b2/2a becoming ab2/2 after reduction.Therefore, the simplest form of the expression is ab2/2.
Ali is reviewing family video. tape totaled 2 hours and 37 minutes. video of his children was 72 minutes. how much of video is not of children?
Evaluate |3 - 5 + 7|.
-5
5
-15
15
Mel Garrett needs four new tires for his car. He can buy one tire for $87, two tires for $174, three tires for $261, or four tires for $348. Which is the best buy?
The ____ are two straight dotted lines, one horizontal and one vertical.
jasmine has taken an online boating safety course and is now completing her end of course exam.As she answers each question, the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed question 16, and the progress bar shows she is 20% complete. How many total questions are on the test.
a new website didicated to helping users research their ancestry had 200 visitors in the first week. the marketing director beleives that without an advertising compaign, the site will gain 50 new users each week. how many total visitors will they have after 12 weeks?
Your monthly living expenses are $1500 on an income of $1,650 per month. Your goal is to have an emergency fund of 4 times your monthly living expenses. Your emergency fund savings account has $2,400 and you put the remainder of your monthly income into the emergency fund each month. How much more money would you have to save each month to complete your emergency fund in 12 months?
a.
$300 per month
b.
$150 per month
c.
$75 per month
d.
$60 per month
Answer:
b. $150 per month
Step-by-step explanation:
To begin solving this let us calculate the amount of our Goal and how much we are saving per month. Our goal is to save up 4 times the amount of our monthly expenses. So we multiply our monthly expenses by 4 like so,
[tex]1,650 - 1,500 = 150[/tex] savings per month
[tex]1,500 * 4 = 6,000 goal[/tex]
We are currently saving $150 per month. Now that we know our goal is $6000. Lets calculate how far off we are with what we already have in our savings by subtracting our goal from our current savings.
[tex]6,000-2,400 = 3,600[/tex]
We need to save up $3,600 in 12 months which would be
[tex]\frac{3600}{12}=300[/tex]
Therefore we need to put $300 a month into our savings account to reach that goal in 12 months. Since we already put $150, this means we need to make an additional $150 a month to reach our goal in 12 months.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answer: B
Step-by-step explanation: