Answer:
slope of the line through (3, 7) and (-1, 4) is
[tex]m = \frac{4 - 7}{ - 1 - 3} \\ \\ = \frac{ - 3}{ - 4} \\ \\ = \frac{3}{4} [/tex]
Hope this helps you
Answer:
3/4
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
= (4-7)/(-1-3)
= -3/-4
= 3/4
The Hudson Record Store is having a going-out-of-business sale. CDs normally sell for $18.00. During the first week of the sale, all CDs will sell for $15.00. Written as a fraction, what is the rate of discount? What is this rate expressed as a percent? Round your answer to the nearest hundredth of a percent. During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?What is this rate expressed as a percent? Round your answer to the nearest hundredth of a percent. During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?
Answer:
The Hudson Record Store
1. As a fraction, discount rate = $3/$18 = 0.167
2. As a percentage, discount rate = 16.67%
3. Selling price during 2nd week = $13.50
4. The rate of the new selling price to the old is $13.50/$18 = 75%
Step-by-step explanation:
Selling price of CDs = $18
1st Week, sold CDs at $15
Discount = $3 ($18 - $15)
As a fraction, discount rate = $3/$18 = 0.167
As a percentage, discount rate = 16.67%
2nd Week, sold CDs at $13.50 ($18 - (25% of $18))
Discount = $4.50 ($18 - $13.50)
Price during the second week of the sale = $13.50
The rate of discount = $4.50/$18 = 25%
Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n
Step-by-step explanation:
The first six terms for each of the following sequenses are:
(a) a_n = 3n - 10
1. a_1 = -7
2. a_2 = -4
3. a_3 = -1
4. a_4 = 2
5. a_5 = 5
6. a_6 = 8
(b) a_n = (1 + (-1)^n) ^n
1. a_1 = 0
2. a_2 = 4
3. a_3 =0
4. a_4 = 16
5. a_5 = 0
6. a_6 = 32
I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )
Answer:
C (the third table, from the second picture).
Step-by-step explanation:
First, we need to find the slope of the graph.
Two conspicuous points are (0, -3) and (2, 1).
The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.
A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.
B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.
C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.
D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.
Hope this helps!
What is the simplified form of 144x^36?
O 12x6
O 12x18
O 72x6
072x18
Answer:
B
Step-by-step explanation:
You deposit $4000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5
years?
Answer:
$4,866.61
Step-by-step explanation:
Using the formular, A = P(1 + R/100)^n
Where, A = Amount; P = Principal; n = Time(year) and R = Rate
Hence, A = $4000(1 + 4/100)^5 = $4,866.61
Amount = Principal + Compound Interest
∴ Compund Interest = Amount - Principal = $(4,866.61 - 4,000) = $866.61
Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? G(x)=2f(x)=2(2^x))
Answer:
The graph of g( x ) is the graph of f(x) stretched vertically by a factor of 2.
Option C is the correct option.
Step-by-step explanation:
Solution,
f ( x ) = 2ˣ
g ( x ) = 2 ( 2 ˣ )
2 is multiplied with f(x)
2 is greater than 1
so, Vertical stretch by a factor of 2.
Option C is correct.
Hope this helps...
Best regards!!
We want to compare the functions f(x) and g(x), given that we know that g(x) is a transformation of f(x).
The correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."
Here we know that:
f(x) =2^x
g(x) = 2*f(x) = 2*2^x
First, remember that a general vertical dilation/stretch of scale factor k is written as:
g(x) = k*f(x)
So only by that and knowing that g(x) = 2*f(x), we can conclude that the graph of g(x) is the graph of f(x) dilated/stretched vertically by a scale factor of 2.
Then the correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."
If you want to learn more, you can read:
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Given: △ABC, AB=5√2 m∠A=45°, m∠C=30° Find: BC and AC
Answer:
BC = 10, AC= approximately 13.66 OR 5+5 √3
Step-by-step explanation:
Law of Sines
PLEASE HELP The probability distribution for a
random variable x is given in the table.
1
Step-by-step explanation:
p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)
This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15
=1
g Which distribution is used to compute the p-value, if one of the alternative hypotheses of the test is true?Group of answer choices
Answer:
Probability distribution
Step-by-step explanation:
Probability distribution is the function which describes the likelihood of possible values assuming a random variable. Alternative hypothesis is a statement which we accept or reject based on the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
Please answer this without making mistakes
Answer:
14.16 miles further.
Step-by-step explanation:
Campbell to Summerfield
9.52mi + 4.62 mi + 10.08 mi = 24.24 mi
Princeton to summerfield
is 10.08 mi
Therefore difference is 24.24mi - 10.08mi = 14.16 mi
Hope this helps.
Question 5(Multiple Choice Worth 4 points) (05.05)Based on the graph, what is the initial value of the linear relationship?
Answer: A) -2
Step-by-step explanation:
The y-intercept (where the graph crosses the y-axis) is the "initial value".
Looking at the given graph, it crosses the y-axis when y = -2
In the triangles, QR = DE and SR = FE. Triangles S Q R and F D E are shown. Angle S R Q is 62 degrees. Angle D E F is 50 degrees. Sides Q R and D E are congruent. Sides S R and F E are congruent. Which statement about the sides must be true? QS = DF DF < QS QS < DE SR = DE
Answer:
b
Step-by-step explanation:
The sides must be true DF < QS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
ΔSQR and ΔFDE
QR = DE and SR = FE
∠SQR =62°, ∠DEF =50°
QR ≅ DE and SR ≅ FE
∵ ∠DEF > ∠SQR
So, side DF < QS
Hence, DF < QS
Learn more about of congruent triangles
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What is the solution to the following system of equations?
|3x - 2y = 12
[6x - 4y= 24
It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0)
Your birthday was in June and your rich Aunt Edna, who had been acting a little weird lately, gave you a check for $25,000 to help you celebrate. You opened a checking account with this money by making a DEPOSIT on June 16th and proceeded to have the time of your life!
The first thing you did was move out of your parent’s house and into a high-rise apartment near downtown. On June 25th, you wrote CHECK #101 to the Trumble Tower for $1800 which included a $600 deposit. You wanted your “new” flat to be really cool, so you decided to decorate it with style and taste. You bought a home theater system and television at Best Buy using your Mastercard. At Rooms-To-Go, you purchased a living room set and bedroom set using your VISA card. You used your DEBIT card on July 4th for a $129.45 purchase at Macy’s. You invited all your friends over the following Saturday night for pizza and drinks and paid for it with your Mastercard.
On July 8th you realized that you needed some food and supplies for a day at the beach. First you went to Starbucks for breakfast using your DEBIT card to pay the $12.83 bill. You stopped at Walmart and bought $132.56 in food and supplies using your DEBIT card. At Kroger’s you used your DEBIT card to purchase $52.23 of groceries and your VISA card to buy gas. You also stopped by the ATM machine at your bank to withdraw $100 for the day at the beach.
On July 15th, you filled out a DEPOSIT slip for your paycheck of $250 since you forgot to sign up for direct deposit. After driving to and from the beach, you realized you needed a new car! You decided to go car shopping on July 16th since you did not have to work that day. At Best Friend Ford, you found the perfect car for $12,498.99! You wrote CHECK #102 for the car. Since you got a new car, you decided that you needed to look good while driving it so you went shopping on July 19th. You purchased clothing at H&M and Abercrombie & Fitch using your Mastercard.
Since you had been driving around in a new car wearing new clothes, your friends decided that they wanted to be paid the money that you owed them. Paul Smith accepted the $20 CHECK #103 you wrote him on July 21st. Linda Boltman and Max Badger wanted cash immediately so you went to the nearest gas station with an ATM and withdrew $80 in cash to pay them on July 23rd. Your bank charged you an ATM service FEE of $2.50 for the withdrawl.
At the end of the month, the bills started to arrive. You forgot to set up online banking with your checking account so you had to write checks. You paid the utility company Greenhouse Energy with CHECK #104 for $155.87 on July 25th, paid AllConnect with CHECK #105 for $150 for TV, internet, and phone on July 27th, paid Mastercard with CHECK #106 for $1518.23 on August 3rd, and paid VISA with CHECK #107 for $1994.02 on August 5th. You wrote a DEPOSIT slip on August 1st for your $250 paycheck and got $30 cash back with the deposit.
THE END
Check Register Codes
ATM – ATM WithdrawalDEB – Debit CardDEP – Deposit
FEE – Checking Account Fee### (check number) – Check
2
Answer:
Dang shes rich, but what is the question?
Step-by-step explanation:
write the reciprocol of following: a)11/9 b)5 1/8
Answer:
ans1 9/11
ans2 8/52
it is because the reciprocol means the opposite of the the give value
Answer:
a.[tex] \frac{9}{11} [/tex]b. [tex] \frac{8}{41} [/tex]Step-by-step explanation:
a.
[tex] \frac{11}{9} [/tex]
Just flip the fraction, you will get:
[tex] \frac{9}{11} [/tex]
b.
[tex]5 \frac{1}{8} [/tex]
The first thing you have to do is that convert the mixed fraction into improper fraction.
To convert mixed fraction into improper fraction, you have to rewrite the denominator which is 8 , Thenafter you have to multiply 5 and 8 and then add 1
It would be:
[tex] \frac{5 \times 8 + 1}{8} [/tex]
[tex] = \frac{40 + 1}{8} [/tex]
[tex] = \frac{41}{8} [/tex]
Now , you have to flip it in order to get reciprocal:
[tex] = \frac{8}{41} [/tex]
In a statistical experiment, we roll two die (6 sided each) and add the results. The outcomes of interest for our experiment are: A
Answer:
The highest number on a die is 6. when we roll out two die the total sum cannot be more that 12. and each sum having the same probability of showing up.
The outcome of our experiment can be 2,3,4,5,6,7,9,10,11 or 12.
Step-by-step explanation:
Statistical experiment can be simply stated as the likelihood of an an event to occur or not.
Please help. I’ll mark you as brainliest if correct!
Answer:
CDs: $30,000bonds: $90,000stocks: $50,000Step-by-step explanation:
You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.
c + b + s = 170000 . . . . . . total invested
0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income
-c + b = 60000
You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...
c = 30,000
b = 90,000
s = 50,000
Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.
Question 10 of 10
Which set of polar coordinates are plotted in the graph below?
Answer:
(-2, -(2pi)/3)
Step-by-step explanation:
a p ex
In da pic :)))))))))
You need to find the distance across a river, so you make a triangle. BC is 943 feet, m∠B=102.9° and m∠C=18.6° . Find AB.
Answer:
352.8 ft
Step-by-step explanation:
m∠A = 180° − 102.9° − 18.6° = 58.5°
AB = c and BC = a.
Use law of sines:
c / sin C = a / sin A
c / sin 18.6° = 943 / sin 58.5°
c = 352.8
the sum of two consecutive multiples of 5 is 55.what are the multiples
Answer:
25 and 30
Step-by-step explanation:
Let the smaller consecutive multiples of 5 be x. Therefore, other consecutive multiples will be x + 5.
Now as per statement the sum of two consecutive multiples of 5 is 55. To find the multiples. Thus
x + x + 5 = 55
2x + 5 = 55
2x = 55 - 5
2x = 50
x = 50/2
x = 25
This the smaller consecutive multiples of 5 is 25, the other consecutuve multiple is x+ 5, 25 + 5 = 30.
The consecutive multiple numbers of 5 are 25 and 30
Answer the two consecutive multiples of 5 are 25 and 30
Answer:
25 and 30.
Step-by-step explanation:
Let the smaller consecutive multiple of 5 be 'x'. So, the other multiple will be x + 5.
Now, the statement is the sum of two consecutive multiples of 5 is 55. To find the multiples, we must simplify as below.
x + x + 5 = 55
2x + 5 = 55
2x = 55 - 5
2x = 50
x = 50/2
x = 25
We observe that the smaller consecutive is 25, so the other multiple is x+ 5, 25 + 5 = 30.
(Hope this helps and please mark as the brainliest)
a rectangle is three times as long as it is widen. if it perimeter is 56cm, find the width of the rectangle
Hi there! :)
Answer:
w = 7 cm.
Step-by-step explanation:
Given:
P = 56
Use the formula P = 2l + 2w to solve for the perimeter of the rectangle.
Let w = width, and
3w = length
Plug these into the equation:
56 = 2(3w) + 2(w)
56 = 6w + 2w
Combine like terms:
56 = 8w
Divide both sides by 8:
w = 7 cm.
The width of rectangle is 7 cm.
Dunno these answers
Answer:
its 9
Step-by-step explanation:
Answer:
c. 9i.
Step-by-step explanation:
[tex]\sqrt{-81}[/tex]
= [tex]\sqrt{-1 * 9 * 9}[/tex]
= [tex]\sqrt{-1 * 9^2}[/tex]
= [tex]9\sqrt{-1}[/tex]
The square root of -1 is the same thing as i.
= [tex]9i[/tex]
So, your answer is C.
Hope this helps!
Help me! Sorry for the other question.... let’s try it again! 1/2 x + 3/5 x = 5/4
Answer:
x = 1 3/22
Step-by-step explanation:
1/2 x + 3/5 x = 5/4
We need to get rid of the fractions by multiplying by 20 on each side
20 (1/2 x + 3/5 x) = 20 * 5/4
Distribute
10x + 12x = 25
Combine like terms
22x = 25
Divide each side by 22
22x/22 = 25/22
x = 22/22 + 3/22
x = 1 3/22
Answer:
[tex]x = 1\frac{3}{22}[/tex]
Step-by-step explanation:
=> [tex]\frac{1}{2} x + \frac{3}{5} x = \frac{5}{4}[/tex]
LCM = 20
So, Multiplying both sides by 20
=> [tex]20 (\frac{x}{2} + \frac{3x}{5}) = 5 * 5[/tex]
[tex]10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25[/tex]
Dividing both sides by 22
[tex]x = \frac{25}{22}[/tex]
[tex]x = 1\frac{3}{22}[/tex]
Need Assistance
Show Work
Answer:
-52, and the opposite of this is 52.
Step-by-step explanation:
If we are losing 52 pounds, then our number is -52 since we are losing 52 pounds (adding a negative number to a positive number is the same as subtracting that number).
The opposite of a number is when we negate the number, or multiply it by -1.
A negative number times a negative number is a positive number.
[tex]-52\cdot-1 = 52\cdot1 = 52[/tex]
Hope this helped!
Answer:
Hey there!
Loss of 52 pounds, -52
Opposite, 52
Hope this helps :)
If while playing Blackjack if you receive the 6 of hearts and the 8 of diamonds, what are the odds that you will bust if you hit? (If you receive another card what are the odds that their sum will add to 22 or higher with Aces counting as 1 and royal cards counting as 10?)
Answer:
Winning odd = 3.4
Loosing odd = 4.3.
Step-by-step explanation:
So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;
=> Given 6 of hearts and the 8 of diamonds.
We know that there are 8 types of cards.
Also, we know that the total number of the cards is equal to fifty-two(52).
From cards of six(6) to ten(10) a bust will surely occur.
Therefore, 8 × 4 / 52= 32/52 = 0.62.
If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.
Giving you a Winning odd = 3.4 and a
Loosing odd = 4.3.
If a person with a height of 58 inches takes 2,601 steps per mile, a person with a height of 64 inches takes 2,357 steps per mile, and a person with a height of 76 inches takes 1,985 steps per mile, what is the average number of steps of three 58-inch people, five 64-inch people, and two 76-inch people. Afterwards, find the weighted average number of steps. How does the average compare with the weighted average? Which value is a more accurate representation of the data?
Answer:
1. Average Number of Steps of
= Total of the different steps / divided by 3
= 6,943/3
= 2,314.3 steps
2. Weighted Average Number of Steps of 3, 58-inch, 5, 64-inc, and 2, 76-inch people
= Total steps by the 10 people divided by 10
= 23,558/10
= 2,355.8 steps
3. The difference is not much.
4. The weighted average (2,355.8 steps) is a more accurate representation of the data. The calculation of the ordinary average steps is more confusing than the weighted average steps.
Step-by-step explanation:
1. Calculation of the Weighted Average Number of Steps of:
3, 58-inch people = 3 x 2,601 = 7,803
5, 64-inch people = 5 x 2,357 = 11,785
2, 76-inch people = 2 x 1,985 = 3,970
10 persons' total steps = 23,558
2. Calculation of the ordinary average:
58-inch people = 2,601
64-inch people = 2,357
76-inch people = 1,985
Total steps 6,943
3x²-9x+1+0 Find the discriminant
Answer:
[tex]\boxed{D = 69}[/tex]
Step-by-step explanation:
The given quadratic equation is:
[tex]3x^2-9x+1 = 0[/tex]
Comparing it with the standard form of Quadratic Equation [tex]ax^2+bx+c = 0[/tex] , we get:
a = 3, b = -9 and c = 1
Discriminant = b² - 4ac
D = (-9)²-4(3)(1)
D = 81 - 12
D = 69
A horse is free to roam and feed in an enclosed pasture that is 150 feet by 200 feet. At any given time, what is the probability that the horse is at least 25 feet away from all boundary lines?
25/250 = 1/10
I do not know that much english. I an spanish so I might have done it wrong.
the probability that the horse is at least 25 feet away from all boundary lines is 0.5
To calculate the probability that the horse is at least 25 feet away from all boundary lines in an enclosed pasture that is 150 feet by 200 feet, we need to consider the available space for the horse to roam.
The area of the pasture is given by:
Area = Length * Width = 150 feet * 200 feet = 30,000 square feet
Now, let's consider the area where the horse must stay within at least 25 feet away from all boundary lines. We can imagine this as a rectangular strip along the inner boundary of the pasture, with dimensions reduced by 50 feet on each side.
The dimensions of this rectangular strip would be:
Length = 150 feet - 2 * 25 feet = 100 feet
Width = 200 feet - 2 * 25 feet = 150 feet
The area of this rectangular strip is given by:
Area_strip = Length * Width = 100 feet * 150 feet = 15,000 square feet
Therefore, the probability that the horse is at least 25 feet away from all boundary lines is:
Probability = Area_strip / Area = 15,000 square feet / 30,000 square feet = 0.5
The probability is 0.5 or 50%.
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HELP ASAP PLEASE :(!!!
given the following linear function sketch the graph of the function and find the domain and range. Upload your
document in the box below.
f(x) = -3x+7
Answer:
Step-by-step explanation:
You have the following function:
[tex]f(x)=-3x+7[/tex]
The y-intercept of the function is given by the independent coefficient, which is 7.
y-intercept = 7
To obtain the x-intercept you equal the function to zero and solve for x, as follow:
[tex]0=-3x+7\\\\3x=7\\\\x=\frac{7}{3}\approx2.33[/tex]
x-intercept = 2.33
Due to the coefficient of x is negative, the slope of the function is negative.
The function is a straight line, then, its domain all all real numbers and its range are all real numbers.
The graph of the function is attached in the image below.
a survey was done Of 600 shoppers at a grocery store to determine if they like a new flavor Of potato chip. Of the 600 shoppers, 376 of them liked the new flavor. a) What percentage of the 600 shoppers liked the new flavor? Round your answer to the nearest percent. b) If 37.5% of the. 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Answer:
63%
225 buyers
Step-by-step explanation:
To find the percent take the number that liked it over the total
376/600
Change to decimal form
.62666666
Change to percent by multiplying by 100
62.66666666%
The nearest percent is 63%
37.5 % would but it then multiply by the number of shoppers
37.5 % ( 600)
Change to decimal form
.375 * 600
225