4/2=2+1=3x3=9+1=10/2=5+1=6/2=3+1=4/2
That is pretty darn cool.
The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply. You can simplify the problem by calculating 33% of $100. You should find the discounted price of the gear first. The tax should be calculated on the original $100 price. The discount should be calculated on the original $100 price.
Answer:
You should find the discounted price of the gear first.
The discount should be calculated on the original $100 price.
Step-by-step explanation:
Original price = $100Discount = 40%Discounted price = $100 * 0.6 = $60Sales tax = 7%Price with added tax = $60*1.07 = $64.2Now let's check the answer options:
You can simplify the problem by calculating 33% of $100.
Incorrect. Tax is added to discounted price.You should find the discounted price of the gear first.
CorrectThe tax should be calculated on the original $100 price.
Incorrect. Tax applied to sale price.The discount should be calculated on the original $100 price.
Correct.Answer:
You should find the discounted price of the gear first.
The discount should be calculated on the original $100 price.
Step-by-step explanation:
Your Welcome;)
State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)
f(x)= x^2+3x-2/x-2
So here are the rules of horizontal asymptotes:
Degree of Numerator > Degree of Denominator: No horizontal asymptoteDegree of Numerator = Degree of Denominator: [tex]y=\frac{\textsf{leading coefficient of numerator}}{\textsf{leading coefficient of denominator}}[/tex]Degree of Numerator < Degree of Denominator: y = 0Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that this function has no horizontal asymptote.
What is 19 +(11+37) then added 19 and 11 what is that
I found a place that will give me a 20% discount if I spend over 50$.My bill is 75$.How much will I save?
30 pointsssssssssssssssssssssssssssssssss
Answer:
A
Step-by-step explanation:
Hope this helps
HELP ME WITH MY MATH ASSIGNMENT, WILL GIVE ANYTHING, DUE TOMORROW! :(
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
Step-by-step explanation:
Question 2) Answer
Use Arithmetic Series Formulas:
a) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference
6th row = 23 + (6 - 1) x -3
= 23 + (5) x -3
= 23 + (-15)
= 8 - number of boxes in the top row.
b) Sum = N/2[2F + (N - 1) x D]
= 6/2[2*23 + (6 - 1) x -3]
= 3 [46 + (5) x -3 ]
= 3 [46 + -15 ]
= 3 [ 31 ]
= 93 - total number of boxes in the entire display.
Question 3) Answer
Sum of the 8 first terms of the geometric progression with the first term 50 and the common ratio of 2:
=50 + 5*2 + 50*2^2 + . . . + 50*2^7
= 50*(1 + 2 + 2^2 + . . . + 2^7) = 50*(2^8-1)
= 50*(256-1) = 50*255
= 12750 Answer
I am also attached the solved question of this assignment please check and enjoy. Thanks
Jackson pays $18 per month for his phone service, plus $0.07 for each long distance minute used. Which of the following correctly describes the y-intercept?
Answer:
The answer is b.
Step-by-step explanation:
You could represent the phone service price with an equation that is
y = 0.07x + 18
So the intercept in y is 18 when x is zero, that is the minimum price of the phone service.
Elizabeth mulitiplied 0.63 by 1.8 which is the correct product
Im not sure but i multiplied and got 1.134 for my answer
Find f(g(x)) and g(f(x)) of f(x)=x^2-8, g(x)=2x-5
[tex]f(x)=x^2-8\\\\g(x)=2x-5\\\\f(g(x))\to\text{instead of x write the equation of the function g(x)}\\\\f(g(x))=(2x-5)^2-8=(2x)^2-2(2x)(5)+5^2-8\\\\=4x^2-20x+25-8=4x^2-20x+17\\\\\text{used}\ (a-b)^2=a^2-2ab+b^2[/tex]
[tex]g(f(x))\to\text{instead of x write the equation of the function f(x)}\\\\g(f(x))=2(x^2-8)-5=(2)(x^2)+(2)(-8)-5=2x^2-16-5=2x^2-21[/tex]
the population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t represents the year with t=0 corresponding to 1990
-Find the populations of Italy in 2000 and 2008
-Use the model to predict the populations of Italy in 2015 and 2020
As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
[tex]p = 56.8e^{0.0015*10}\\[/tex]
[tex]p=57.6584[/tex] million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
[tex]p=56.8e ^{0.0015*18}\\[/tex]
[tex]p=58.3545[/tex] million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
[tex]p=56.8e^{0.0015*25}[/tex]
[tex]p=58.9704[/tex] million people
t = 30
[tex]p=56.8e^{0.0015*30}[/tex]
[tex]p=59.4144[/tex] million people
if a kid have 9 cookies and give a way 8 then he buys 7 more how much does he has
Answer:
8 cookies
Step-by-step explanation
We start with 9 cookies:
9
"Giving away" 8 means subtracting 8 from 9:
9 - 8 = 1
"Buying" 7 more means adding 7 to 1:
1 + 7 = 8
Therefore, the kid has 8 cookies.
Factor the expression over the complex numbers.
x^2+52
Answer: (x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex])
Step-by-step explanation:
x² + 52 = 0
x² = -52
[tex]\sqrt{x^{2} } = \sqrt{-52}[/tex]
x = +/- [tex]\sqrt{52}[/tex]
x = +/- [tex]i\sqrt{2*2*13}[/tex]
x = +/- [tex]2i\sqrt{13}[/tex]
(x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex]) = 0
Convert the length 7 centimeters to meters. Compare the numerical values when both numbeers are written in scientific notation
Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
1 with multiplicity 0
1 with multiplicity 1
The roots of a polynomial written in the form
[tex] (x-x_1)(x-x_2)(x-x_3)\ldots(x-x_n) [/tex]
Are exactly
[tex] x_1,\ x_2,\ x_3,\ldots x_n [/tex]
The multiplicity of a solution [tex] x_i [/tex] is how many times the parenthesis [tex] (x-x_i) [/tex] appears in the factorization of the polynomial.
So, if we write the powers explicitly, your polynomial is written as
[tex] (x + 5)^3(x - 9)^2(x + 1) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1) [/tex]
Which means that the solutions are:
-5, with multiplicity 39, with multiplicity 2-1, with multiplicity 1The roots of [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are:
-5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
The given function is:
[tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex]
The roots of the function [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are the values of x that makes f(x) to be zero
To find the roots of the function [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex], equate each of the terms to zero
The multiplicity of the roots is the power of the term from which the root is gotten
Equate each of the terms to zero
[tex](x+5)^3 = 0\\x + 5 = 0\\x = -5[/tex]
Since the power is 3, the multiplicity is 3
One root is -5 with a multiplicity of 3
[tex](x-9)^2 = 0\\x - 9 = 0\\x = 9[/tex]
Since the power is 2, the multiplicity is 2
One root is 9 with a multiplicity of 2
[tex](x+1)^2 = 0\\x +1 = 0\\x = -1[/tex]
Since the power is 1, the multiplicity is 1
One root is -1 with a multiplicity of 1
Therefore, the roots of [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are:
-5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
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Tim counts his friends fingers by fives.He counts six hands.What numbers does he say?
a fruit drink that was sold in 16-ounce containers is now sold in 20-ounce containers what is the percent of change in quantity
Answer:
The percent of change in quantity is 25%.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You must use the following formula:
%[tex]change=(\frac{new-old}{old})(100)[/tex]
2. You have that the old quantity was 16 oz and the new quantity is 20 oz. Therefore, you only need to substitute these values into the formula shown above, as following:
%[tex]change=(\frac{20oz-16oz}{16oz})(100)=25[/tex]%
The quantity of the fruit drink sold has increased by 25% after changing from 16-ounce containers to 20-ounce containers.
Explanation:To determine the percent of change in quantity for the fruit drink, you'll first need to ascertain the difference in size between the two containers. In this case, the original size was 16 ounces and the new size is 20 ounces. Thus, the change in size is 20 ounces - 16 ounces = 4 ounces.
To calculate the percent of change, we divide this change in size by the original size, and then multiply by 100 to convert to a percentage. This can be summarized by the formula: ((new size - original size) / original size) * 100.
Substituting the given values into this formula, we get: ((20 - 16) / 16) * 100 = 25%.
Therefore, the fruit drink has increased in quantity by 25%.
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Approximately how many degrees are in the measure of an interior angle of a regular septagon?
A.) 102.9
B.) 128.6
C.) 180.0
D.) 231.4
The answer is B I hope I helped
The measure of an interior angle of a regular septagon is approximately 128.6 degrees, calculated using the formula (((n-2) times 180) / n), where n is the number of sides.
To find the measure of an interior angle of a regular septagon (a seven-sided polygon), we can use the formula for finding the measure of an interior angle in any regular polygon: ((n-2) times 180) / n, where n is the number of sides in the polygon. For a septagon, n = 7.
Using the formula: ((7-2) times 180) / 7 = (5 times 180) / 7 = 900 / 7 ≈ 128.6 degrees.
Therefore, the measure of an interior angle of a regular septagon is approximately 128.6 degrees. Hence, the correct answer is B.) 128.6.
The avacados own a 1/4 acre orchid two fifths of the orchard is planted in orange trees what fraction of an acre is planted in Orange trees
Two-fifths of 1/4 acre is [tex]\(\frac{1}{10}\)[/tex] acre planted in orange trees.
Sure, here's a detailed stepwise solution with explanation:
1. **Understand the problem**: The Avocados own a 1/4 acre orchard, and two-fifths of the orchard is planted in orange trees. We need to find the fraction of an acre planted in orange trees.
2. **Identify the fractions**: Let's represent the fractions given in the problem:
- Fraction of the orchard planted in orange trees: [tex]\( \frac{2}{5} \) - Total acreage of the orchard: \( \frac{1}{4} \)[/tex]
3. **Multiply the fractions**: To find the fraction of an acre planted in orange trees, we multiply the fraction of the orchard planted in orange trees by the total acreage of the orchard.
4. **Perform the multiplication**: Multiply the fractions:
[tex]\[ \frac{2}{5} \times \frac{1}{4} \] \[ = \frac{2 \times 1}{5 \times 4} \] \[ = \frac{2}{20} \][/tex]
5. **Simplify the fraction**: The fraction[tex]\( \frac{2}{20} \) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. \[ \frac{2}{20} = \frac{1}{10} \][/tex]
6. **Interpret the result**: The simplified fraction [tex]\( \frac{1}{10} \)[/tex] represents one-tenth of an acre planted in orange trees.
7. **Conclusion**: Therefore, one-tenth of an acre is planted in orange trees in the Avocados' orchard.
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,500x – 650,000.
What is the youngest age for which the average income of a lawyer is $275,000? Round to the nearest year.
According to this model, what is the predicted average annual income of 40-year-old lawyers? Round to the nearest whole dollar.
We are given
The average income, I, in dollars is
[tex]I=-425x^2+45500x-650000[/tex]
(a)
now, we are given
average income is $275000
so, [tex]I=275000[/tex]
now, we can set them equal
and then we can solve for x
[tex]275000=-425x^2+45500x-650000[/tex]
[tex]-425x^2+45500x-925000=0[/tex]
we will have to use quadratic formula
[tex]x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}[/tex]
[tex]x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}[/tex]
we get
[tex]x=27.28199[/tex]
[tex]x=79.776[/tex]
we need to find youngest age
It means that we need to choose smallest value
so,
[tex]x=27[/tex]............Answer
(b)
we are given
x=40
so, we can plug it and find I
[tex]I=-425(40)^2+45500(40)-650000[/tex]
[tex]I=490000[/tex]..............Answer
To find the youngest age for an average income of $275,000 for a lawyer, one would solve the quadratic equation formed by setting the income function equal to $275,000 and choosing the positive solution. The predicted average annual income of a 40-year-old lawyer is calculated by plugging 40 into the income function and rounding to the nearest dollar.
The student asked two questions about a quadratic function representing the average income of a lawyer by age.
Finding the youngest age for a certain average income
To find the youngest age at which the average income of a lawyer is $275,000, we set the quadratic income function I = -425x^2 + 45,500x – 650,000 equal to $275,000 and solve for x. After simplifying, we get a quadratic equation that can be solved using factorization, completing the square, or applying the quadratic formula. Once we find the values for x, we select the positive solution since age cannot be negative, and round it to the nearest year.
Predicted average annual income for a 40-year-old lawyer
To determine the average income for a 40-year-old lawyer, we substitute x = 40 into the given income model and calculate the value of I. The result will be the predicted average annual income of a 40-year-old lawyer, rounded to the nearest whole dollar.
What is the slope-intercept form of the linear equation x + 4y = 12?
enter your answer in the box.
plz i need help will give 10 points
y = - [tex]\frac{1}{4}[/tex] x + 3
the equation of a line in slope-intercept form is
y = mx +c ( where m is the slope and c the y-intercept )
rearrange x + 4y = 12 into this form
subtract x from both sides
4y = - x + 12 ( divide all terms by 4 )
y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope-intercept form
A ring is now reduced to £840 this is a saving of 40% of the original price whats the original price of the ring
Answer:
1400 dollars
Step-by-step explanation:
Let the original price = 100
Less: saving of 40% = 40
Reduced price = 60
Reduce price of 60 is equivalent to 840 dollars
Hence original price of 100 is equivalent to
100/60 = x/840
Or x = 1400 dollars.
Original price actual = 1400 dollars.
Verify: Original price = 1400
Less: 40% = 560
Reduced price = 1400-560 =840 (given)
Hence verified
AS one of her chores Staci must vacum 1/2 of the house. If she has already vacumed 1/3 of her share tonight whatp part of the living part of the house is vacumed
Answer:
1/6
Step-by-step explanation:
sim[le thought
Staci has vacuumed 1/6 of the entire house tonight.
The student's question concerns the portion of housework completed by Staci. As one of her chores, Staci must vacuum 1/2 of the house. She has already vacuumed 1/3 of her share tonight. To find out what part of the entire house has been vacuumed, we multiply the two fractions together.
Staci's share to vacuum is 1/2 of the house.
She has completed 1/3 of her share, which is 1/3 of 1/2.
To calculate the portion she has vacuumed, we multiply 1/2 by 1/3:
(1/2) x (1/3) = 1/6.
Therefore, Staci has vacuumed 1/6 of the entire house tonight.
Is the relationship between Kelvin and degrees Celsius proportional? Justify your answer in two different ways.
The relationship between Kelvin and degrees Celsius is not proportional in any way.
What is temperature?The temperature is the degree of the hotness and the coldness.
We know that
1 Kelvin = -273.15 degree Celsius
Kelvin is a unit of absolute temperature used in measurements and it can also be associated with degrees Celsius.
0 Kelvin is equivalent to -273.15 degrees Celsius.
In order to solve for the unit of temperature, the equation is:
T(Kelvin)= T(degrees Celsius) + 273.15
T(degrees Celsius) = T(Kelvin) - 273.15
The relationship between Kelvin and degrees Celsius is not proportional in any way.
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Ginger takes 10 nickels to buy pencils at the school store.How many cents does ginger have to spend
For this problem, you don't need to know how much the pencils cost. You're only finding how much the 10 nickels are worth.
Start by knowing how much one nickel is worth. A nickel is worth five cents in US currency. Since you know the worth of one nickel, you can find the worth of ten nickels by multiplying ten nickels by five cents (0.05).
Multiply 10 by 0.05.
10 * 0.05 = 0.5
0.5 is equal to 50 cents in US currency, so this means that Ginger has 50 cents to spend to buy pencils at the school store.
Last week alexander was paid $56 for 7 hours of work. Howmuchmoney does alexander's job pay per hour
56/7=8
Alexander was paid $8 per hour
There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
In which distributions does the variable X have a binomial distribution?
Select each correct answer.
When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.
When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.
When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.
When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen
Answer:
When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen. Here the card is chosen with replacement. This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.
The sample space= {1,2,3,4,5,6,7,8,9,10}
Prime numbers = {2,3,5,7}
Prob for drawing prime number = 4/10 = 0.4
is the same when replacement is done.
Also there are two outcomes either prime or non prime. Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5
When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.
Prob for an even number = 0.5
But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other. Hence not binomial.
When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.
Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3
i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.
When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen
Here X is the number of times a card is chosen with replacement till 5 is chosen. This is not binomial. Here probability for drawing nth time correct 5 is P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)
Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.
Step-by-step explanation:
Answer:
Step-by-step explanation:
hope this is helpful to anyone in the future!
Find the slope of the line
The two points (0,0) and (4,5) are on the line. The points are marked in blue in the attached image below.
Use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (5-0)/(4-0)
m = 5/4 <----- this is the answer in fraction form
m = 1.25 <----- this is the answer in decimal form
The idea of the slope formula is we're subtracting the y values together, then subtracting the x values together in the same order, finally we divide the two results and reduce if possible to get the fraction form. Use long division or a calculator to find the decimal form of the fraction. In this case, the rise is 5 and the run is 4. Meaning we go up 5 units and over to the left 4 units to go from (0,0) to (4,5).
Write an algebraic expression for the word phrase.
40% of x.
A. 0.40/x
B. 0.40+m
C. 0.40x
D. 0.40-m
Answer:
the answer would be c. 0.40x
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
Before we can solve this problem we need to turn the percentage into decimal form. We do this by moving the decimal to digits to the left like so...
40.0% ⇔ 0.40
Now that we have the percent in decimal form we can create the algebraic expression. To be able to find the percent of a number, we have to multiply the decimal form of the percent by the given number. That being the case the expression would be....
[tex]0.40x[/tex]
Therefore, the answer would be c. 0.40x
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Solve for x.
x+5.39>4.48
Enter your answer, as an inequality, in the box.
x + 5.39 > 4.48
-5.39 -5.39
x > -0.91
Answer: x > -0.91
Nancy purchased some bed sheet for $36. They are on sale for 25% off. What was the original price of the bed sheets
36 times 0.25 is 9
9+36=45
The original price was $45