Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!
Answers
Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.
Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:
[tex]\[ y = x - 10 \][/tex]
In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:
[tex]\[ y = \frac{x}{4} + 5 \][/tex]
In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
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The probable question may be:
Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.
Related Questions
Plz I need help I don’t want to fail if u know it plz answer thx
Answers
Answer:
13
Step-by-step explanation:
5+4+3+1=13
we got that from the sum of the number of runners in the different mile distances for the runners.
Answer:
The mileage was recorded for 13 runners.
The table shown below represents a function. Which of the following values could not be used to complete the table?
Answers
In a function/relation no x value can be repeated twice. -20 and -15 can be values that can complete the table because those x values haven't been mentioned in the function at all. -5 cannot be a value that can be used in the function becuase thats an x-value thats already stated in the function.
Therefore, the answer is -5
Best of Luck!
A cone is a solid made from a polygonal base, a point not in the same plane, as the base, and all points between them.
A. True
B. False
Answers
Answer:
Step-by-step explanation:false
The velvet bag contains 10 gold coins and 7 silver coins. A coin is randomly drawn from the bag and NOT replaced. Then a second coin is randomly drawn. What is the probability that both coins are gold?
Answers
Answer:
45/136 or 0.3309
Step-by-step explanation:
Total = 10 + 7 = 17
10/17 × 9/16
= 45/136
Or 0.3308823529
Final answer:
To determine the probability of drawing two gold coins in a row from a velvet bag containing 10 gold coins and 7 silver coins without replacement, we multiply the probability of drawing a gold coin on the first and second draw, which is 45/136.
Explanation:
The question involves calculating the probability of drawing two gold coins in succession from a bag containing 10 gold coins and 7 silver coins, without replacement. First, we calculate the probability of drawing one gold coin on the first draw. With 10 gold coins out of a total of 17 coins, this probability is 10/17. After drawing one gold coin, there are now 9 gold coins left out of 16 total coins. The probability of drawing a second gold coin, given the first was already drawn and not replaced, is 9/16. To find the overall probability of both events happening, we multiply the probabilities of each independent event: (10/17) * (9/16) = 90/272. Simplifying this, we get the final probability as 45/136.
Find the difference 9/4 - 4/3?
Answers
Answer: fraction = 11/12 or decimal = 0.91
Kim works at a cake shop. She is able to make an average of 2.0 cakes an hour. Her workday is 8.5 hours. How many cakes does Kim make on an average day?
Answers
Answer:
Kim can make 4 cakes.
Step-by-step explanation:
since you can't sell half a cake and it takes 2 hours for her to make a cake she can only make 4 cakes on an average day. hope this helps good luck in the future
Frannie put 1/3 of her music collection on an mp3 player. While on vacation, she listened to 1 /2 of the music on the player. How much of Frannie's music collection did she listen to while on vacation? Choose the correct values to describe how to solve the problem.
Answers
Answer:
the solution to the problem is that Frannie listened to 1/6 of her entire music collection while on vacation.
Step-by-step explanation:
Fraction of the music collection on the MP3 player: 1/3
Fraction of the music on the MP3 player listened to: 1/2
Fraction of the entire music collection listened to: 1/6
Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation.
To solve this problem, we need to calculate the fraction of Frannie's total music collection that she listened to on vacation.
Firstly, Frannie put [tex]\(\frac{1}{3}\)[/tex] of her music collection onto her mp3 player. This means that the music on the mp3 player represents [tex]\(\frac{1}{3}\)[/tex] of the whole collection.
While on vacation, she listened to [tex]\(\frac{1}{2}\)[/tex] of the music on the player. So, she listened to [tex]\(\frac{1}{2}\) of \(\frac{1}{3}\)[/tex] of her total collection.
To find out how much of the entire collection this is, we multiply the two fractions together:
[tex]\[ \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \][/tex]
This multiplication is justified because she listened to half of a third of her collection, which is the same as saying she listened to a sixth of her collection.
Therefore, Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation."
Taro uses a coordinate systemwith units of feet to keep frack of the locations of any objects he finds with his metal detector. One lucky day he found a ring at (5,7) and an old coin at (10,19). How far apart were the ring and coin before taro found them? Round them to the nearest tenth if necessary.
Answers
Answer:
The distance between ring and coin is 13 units apart.
Step-by-step explanation:
[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]
Using this formula, you are able to find the distance between the ring and the old coin :
Let (x1,y1) be (10,19),
Let (x2,y2) be (5,7),
D = √(10-5)²+(19-7)²
= √5²+12²
= √25+144
= √169
= 13 units
Answer: 13 units
Step-by-step explanation:
Let (x1,y1) be (10,19),
Let (x2,y2) be (5,7),
D = √(10-5)²+(19-7)²
= √5²+12²
= √25+144
= √169
= 13 units
an angle measure of 55.45 is converted to DMS notation as
Answers
Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Step-by-step explanation:
We need to convert angle measure of 55.45 to DMS notation
DMS notation is Degree Minute and seconds
Solving:
We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.
We can write it as 55 and 0.45
So, we have 55 degrees
To find minutes we will multiply 0.45 by 60
0.45*60 = 27 minutes
Since we have no decimal value in minutes so seconds will be 0
So, DMS will be 55 degrees 27 minutes 0 seconds
Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Need help like now please
Answers
Answer:
-46 -35 -10 y -7 7 8 13 35 x
Step-by-step explanation:
How does the sign of a affect the domain and range of ()=?f of , open x close . equals eh , x squared , question mark
Answers
Answer:
(See explanation for further details).
Step-by-step explanation:
The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).
The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.
Explanation:In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.
The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).
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Which is the solution to s - 89-77
a. 18.6667
b. 15.4851
с.
d.
30.9702
-3.9459
Please select the best answer from the choices provided
оооо
Answers
Answer:
The answer is B
Step-by-step explanation:
Katrina wants to buy a CD for $1000 that earns 2.5% APR and is compounded
quarterly. The CD matures in 5 years and the early redemption fee is 3
months' interest. If Katrina wants to take her money out 3 months before the
CD matures, how much money would she get back, after the early redemption
fee?
O A. $1119.42
O B. $1226.71
O c. $1025.39
O D. $1031.64
Answers
Answer:
1119.42
Step-by-step explanation:
Final answer:
Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.
Explanation:
Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:
Calculate the compounded amount of the CD after 4.5 years since it is compounded quarterly.Calculate the interest for 3 months (1 quarter).Subtract the 3 months' interest from the total compounded amount to account for the early redemption fee.The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for, in years.For this problem:
P = $1000r = 0.025 (2.5% annual interest rate)n = 4 (compounded quarterly)t = 4.5 years (since we are calculating for 3 months before the 5 years)Let's calculate:
A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64
Now we calculate the 3 months' interest which is essentially the interest for one quarter:
Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)
We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:
A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12
Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48
Finally, subtracting the early redemption fee:
Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16
The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.
Zack, Jack and Sasha earned £250 altogether delivering leaflets.
Zack delivered 50%.
Jack delivered 30%.
Sasha delivered 20%.
They are each paid according to the number of leaflets they delivered.
How much did each person earn?
Answers
Answer:
Zack earned £125, Jack earned £75, and Sasha earned £50
Step-by-step explanation:
Considering the number of leaflets delivered
Zack 50%, Jack 30% and Sasha 20%
Total delivered = 50 + 30 + 20 = 100%
If they earn £250 on the 100% delivery, then each will have as shown below
Zack = (50/100)*250
= 5*25
= £125
Jack = (30/100)*250
= 3*25
= £75
Sasha = (20/100)*250
=2*25
= £50
Answer:
£125, £75 and £50
Step-by-step explanation:
Zack delivered 50%
Therefore, Zack earned
50% of £250
50/100 x £250
0.5 x 250
£125
Zack earned £125
Jack delivered 30%, therefore
Jack earned
30% of £250
0.3 x £250
£75
Jack earned £75
Sasha delivered 20%
Therefore, Sasha earned 20% of £250
20/100 x £250
0.2 x £250
£50
Sasha earned £50
Zack + jack + Sasha = £250
£125 + £75 + £50 = £250
Carter is deep-sea diving with two friends. Anita is exploring a coral reef 60 feet in front of Carter, and Gabe is floating on the surface directly above Carter. If Gabe and Anita are 87 feet apart, how far apart are Carter and Gabe?
Answers
63 feet
Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63
Answer:
63 feet
Step-by-step explanation:
What is the area of the rectangle: 6/7 x 1 yard
Answers
Answer:
0.857142857 yards
Step-by-step explanation:
What is 3.3 to the 25th power
Answers
Answer:
9.1801229e+12 or 9.18
Answer: 9180122932497.328
Step-by-step explanation: 3.3*3.3*3.3......=9180122932497.328
Which expression is equivalent to 30x + 15y?
a)45xy
b)xy+45
c)15(2x+y)
d)15xy(2x+y)
Answers
Answer:
C
Step-by-step explanation:
because 15*2x=30x and 15*y= 15y and since they are adding in the parentises you add again 30x*15y
John has 1 ½ hours of homework each day from Monday through Friday and 2 ¾ hours over the weekend. How much work does John have in a week?
Answers
Answer:
10.25 (10 1/4)
Step-by-step explanation:
1 1/2 = 1.5
Monday through Friday = 5 days.
1.5 hours of homework times 5 = 7.5
2 3/4 = 2.75 (his homework over the weekend)
7.5 plus 2.75 = 10.25
John would have 10.25, or 10 1/4 hours in a week.
Final answer:
John has 10.25 hours of homework in a week by calculating his daily homework hours and weekend hours.
Explanation:
To calculate the total amount of homework John has in a week:
John has 1 ½ hours of homework each day from Monday through Friday, totaling 1.5 hours/day x 5 days = 7.5 hours.
John has 2 ¾ hours over the weekend, which is 2.75 hours.
Adding the weekday and weekend hours together, John has a total of 7.5 hours + 2.75 hours = 10.25 hours of homework in a week.
Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 121212 weeks, the number of people who receive the email increases by an additional 99\%99%99, percent, and can be modeled by a function, PPP, which depends on the amount of time, ttt (in weeks).
Answers
The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.
Explanation:The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.
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You survey 320 students. 40 students' favorite sport is soccer. About how many students' favorite sport is football at a school of 1,600 students.
Answers
Answer:
200 (?)
Step-by-step explanation:
If 320 is divied by 40, you get 8.
If 1600 is divided by 8, you get 200
im like 90% sure sorry
set up a proportion like this:
40/320=x/1600
x=200
What is the measurement of the unknown fourth interior angle of this quadrilateral?
Answers
Answer:
114 degrees
Step-by-step explanation:
Find the slope of each line.
1) y=− x−5
2) y=− x−1
Answers
1) slope = -1
2) slope = -1
PLEASE HELP:/ Find the approximate length of segment EF.
Answers
If it's on the Cartesian plane, you find the difference between the x coordinates (let's call that value a), and you find the difference between the y coordinates (let's call that value b)
You square a and b, and add them together (to get [tex]a^2 + b^2[/tex])
You find the square root of the sum you attained and get:
[tex]\sqrt{a^2 + b^2}[/tex]= EF
Does anyone know these two they both have the same answer choices please help
Answers
Answer:
7. yes, obtuse
8. no triangle
Step-by-step explanation:
7.
3, 7, 9
Do these side lengths form a triangle?
Add the two smaller numbers: 3 + 7 = 10
Since 10 is greater than 9, these three side lengths do form a triangle.
Now we qualify the triangle.
c^2 ? a^2 + b^2
The ? is there because we don';t know yet if it will be =, >, or <.
9^2 ? 3^2 + 7^2
81 ? 9 + 49
81 ? 58
Since 81 is greater than 58, now we know to use >.
81 > 58
Since c^2 is greater than a^ + b^2, the triangle is obtuse.
Answer: Yes these side lengths form a triangle, and the triangle is obtuse.
8.
4, 11, 16
Add the two small lengths: 4 + 11 = 15
Since 15 < 16, these three side lengths do not form a triangle.
Answer: no triangle
What’s the answer???
Answers
need help!!!!!!!!!!1
Answers
Answer:
-2 5/9
Step-by-step explanation:
-5/9 - 4/3 - 2/3 =
-5/9 - 2 =
-2 5/9
Use the diagram of triangle XYZ to answer the questions.
What is the length of side XY?
What is the value of sin(X)?
What is the value of cos(X)?
What is the value of tan(X)?
Answers
The length of side XY in the triangle is 10 units
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Using Pythagoras theorem:
XY² = 8² + 6²
XY = 10
b) sin(X) = 8/10
c) cos(X) = 6/10
d) tanX = 8/6
The length of side XY in the triangle is 10 units
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A barge that is used to transport wheat is the shape of a rectangular prism and is 90 feet long, 35 feet wide, and 12 feet deep. What volume of wheat can the barge hold?
Answers
Answer: 37,800
Step-by-step explanation: 35x90x12= 37,800
Final answer:
The barge, which is shaped like a rectangular prism and measures 90 feet in length, 35 feet in width, and 12 feet in depth, can hold up to 37,800 cubic feet of wheat.
Explanation:
To determine the volume of wheat that a rectangular prism-shaped barge can hold, we use the formula for the volume of a rectangular prism: Volume = length × width × height. Given that the barge is 90 feet long, 35 feet wide, and 12 feet deep, we calculate the volume as follows:
Volume = 90 feet × 35 feet × 12 feet
Volume = 37,800 cubic feet
Therefore, the barge can hold up to 37,800 cubic feet of wheat.
please i need help and i need need need this.
Answers
Answer:
No.
Step-by-step explanation:
Given inequality:
[tex]$5h>-15; h=-5$[/tex]
[tex]5(-5)>-15\\-15>-15[/tex]
-15 is not greater than -15, it is equal.
If the inequality symbol were [tex]\leq or \geq[/tex], it would be true.