The table represents the volume, y cubic units, of a cube with side lengths of x units.x:0, 1, 2, 3y:0, 1, 8, 27Does the table represents a linear function
Answers
No, the table does not represent a linear function
Explanation
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. it has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y
Step 1
graph
[tex]y=x^3[/tex]so, the graph does not represent a linear function , Also
the volume of a cube is given by
[tex]\text{Volume}=Side^3^{}[/tex]the exponent of the function is 3, and for a linear function the exponent in the varialbe must be 1,
Related Questions
Estimating fractions sums
Answers
We are given the following sum of fractions
[tex]\frac{3}{7}-\frac{1}{5}[/tex]We are asked to round off each term to 0, 1/2, or 1.
Notice that the term 3/7 (0.43 in decimal) is closest to 1/5 (0.50 in decimal), so we will round off 3/7 to 1/2
The term 1/5 (0.20 in decimal) is closest to 0, so we will 1/5 to 0.
So, the fractions become
[tex]\frac{1}{2}-0=\frac{1}{2}[/tex]Therefore, the estimated sum of fractions is 1/2
Each event uses a standard deck of playing cards. The cards are chosen at random and put back after each draw. Match each event with itstheoretical probability.You choose a red card.You choose the queen of hearts.You choose a club.You choose a 5, 6, or 7.choices - 1/4, 1/52, 1/2, 3/13
Answers
Explanation:
There are 26 red cards in a pack of playing cards.
So,
Probability of picking a red card =Number of red cards/Total number of cards
We plug in what we know
[tex]\begin{gathered} =\text{ }\frac{26}{52} \\ =\frac{1}{2} \end{gathered}[/tex]Therefore, the probability of picking a red card is 1/2.
There is only one Queen of hearts in a deck of cards. So,
Probability of picking a Queen of hearts = Number of Queen of Hearts/ Total number of cards
[tex]=\frac{1}{52}[/tex]Therefore, the probability of picking a
Queen of hearts is 1/52.
There are 13 cards that are clubs. So,
Probability of picking a club = Number of Clubs/ Total number of cards
[tex]\begin{gathered} =\text{ }\frac{13}{52} \\ =\frac{1}{4} \end{gathered}[/tex]Therefore, the probability of picking a club is 1/4.
There are 4 cards that are 5, 6, and 7. This gives a total of 12 cards. So,
The probability of picking 5,6, or 7 = 12/52 = 3/13
Therefore, the probability of picking 5,6, or 7 is 3/13.
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.Original Problem:3−2=8+=2Student Work:3−2=82+2=25=10=2
Answers
Let:
[tex]\begin{gathered} 3x-2y=8_{\text{ }}(1) \\ x+y=2_{\text{ }}(2) \end{gathered}[/tex]Multiply (2) by 2:
[tex]2x+2y=4_{\text{ }}(3)[/tex]Add (1) and (3):
[tex]\begin{gathered} 3x+2x-2y+2y=8+4 \\ 5x=12 \\ x=\frac{12}{5} \end{gathered}[/tex]The error is: when the student multiply the equation (2) by 2, he only multiplied the left side of the equation by 2, but he needed to multiply the right side as well.
0) is Po= 9, and the population after 7 weeks is P7 = 51. Find an explicit formula for the beetle population after n weeks. Pn how many weeks will it take to reach beetle population 129
Answers
The time it will take to reach population of 129 is 20 weeks
What is Arithmetic progression?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Arithmetic progression with the first term of 9.
The common difference is:
51-9/7 = 42/7 = 6.
6 beetles are added each week.
The general formula after n weeks is
Pn = 9 + 6n.
It will reach 129 when
Pn = 129,
129 = 9 + 6n
129 - 9 = 6n
120 = 6n
n = 120/6
n = 20
Hence, It will take 20weeks to reach beetle population 129
To learn more about Arithmetic progression click on the link
https://brainly.com/question/6561461
#SPJ9
Write an inequality and solve it. Rebecca bought one goldfish for $32. She spends the rest of her money on guppy fish. She starts with $80. Each guppy costs $6. Write an inequality for the number of guppies she can purchase. Part A: Write an inequality to represent the situation. Use g for the variable.
Answers
According to the information given in the statement you have
[tex]32+6g\le80[/tex]Where g is the number of guppy fish that Rebecca can purchase.
Now, solving the inequation you have
[tex]\begin{gathered} 32+6g\le80 \\ \text{ Subtract }32\text{ from both sides of the inequality} \\ 32+6g-32\le80-32 \\ 6g\le48 \\ \text{ Divide }by\text{ 6 on both sides of the inequality} \\ \frac{6g}{6}\le\frac{48}{6} \\ g\le6 \end{gathered}[/tex]Therefore, Rebecca can purchase 6 guppy fish.
A student argued that a pizza cut into 12 pieces was more than a pizza cut into 6 pieces. How would you respond?
Answers
I would respond with a vehement disagreement because using the division operation, the more the divisor, the less the quotient.
What is a division operation?A division operation is one of the four basic mathematical operations.
The division operation breaks a number or object into many parts. The number to be divided is known as the dividend.
The dividing number or parts are called the divisor while the quotient is the result of the division operation.
For instance, when 144 is divided by 12, the result is 12. When the same number is divided by 6, the result is 24. From this, we can determine the division operation that yields more value.
Thus, a pizza cut into 12 pieces does not yield more than a pizza cut into (divided) 6 pieces.
Learn more about mathematical operations at https://brainly.com/question/20628271
#SPJ1
The
Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $175 for each ton of sugar transported. The total cost C (in dollars), for transporting tons is given by the following.
C=3500+175n
Answer the following questions.
(a) If the total cost is $7350, how many tons is the company transporting?
____ tons
(b) What is the total cost of transporting 13 tons?
$___
Answers
Answer: A. 22 tons B. $5775
Step-by-step explanation:
Substitute the values in for C.
Let's start with part a
7350 = 3500+175n
-3500 -3500- Subtract 3500 from both sides to isolate the 175n
----------------------------------------
3,850=175n
divide 175n from both sides to simplify it using the division property of equality
And you get 22=n!
So since n is each ton of sugar transporting, it's 22 tons being transported
FOR PART B
Substitute 13 tons for n since they're asking how many tons
Multiply 175 and 13 to get 2275
Add 2,275 and 3,500 to get 5775
Since they're asking for the amount in dollars, just say $5775
Hope I helped!! Have a wonderful day :))
What would be the annual percentage yield for a savings account that earned $56 in interest on $800 over the past 365 days?
Answers
Substitute
T
= 56
800 into formula
= 365
|=Prt
56 = 800rt
Solve the equation: 365 x800x = 56
365
X
7
100
7
Convert to percentage: X=100
X
7%
The annual percentage yield (APY) for a savings account that earned $56 in interest on $800 over 365 days is 7%.
The APY (annual percentage yield) is calculated using the formula:
(Interest / Principal)x100
By plugging in the values for interest and principal, we can determine the APY.
Given that,
Principal amount: $800
Interest earned: $56
Time period: 365 days
To calculate the annual percentage yield (APY),
Use the formula:
APY = (Interest / Principal)x100
In this case,
The interest earned = $56
The principal (initial amount) = $800.
Plugging these values into the formula:
APY = (56 / 800)x100
= 0.07x100
= 7%
Hence,
The annual percentage yield for this savings account is 7%.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ4
What is the function g(x) that results when translating the function f(x) = |x| to the left 12 units and reflecting it over the x-axis?
Answers
Answer: Translation up 5 units means g(x)=f(x)+5g(x)=f(x)+5. Reflecting this across the x-axis means g(x)=-(f(x)+5)g(x)=−(f(x)+5).
-(4x+5)=-4x-5
−(4x+5)=−4x−5
Step-by-step explanation:
Answer:
g(x) = -|x + 12|
Step-by-step explanation:
Translation to left ≡ f(x + 12)
f(x + 12) = | x + 12 |
Reflection of a function f(x) about the x - axis is keeping the x value same but negating the y values
Reflected f'(x) = -y = -f(x)
Taken together
g(x) = -(|x + 12|)
The number N of cars produced at a certain factory in 1 day after t hours of operation is given by N(V) = 900t- 58 O st$ 10. If the cost C (in dollars) of producing N cars is C(N) = 45,000 + 5000N, find the cost C as a function of the time of the operation of the factory
Answers
The cost written as a function of time of operation is C(t) = 4500000t - 245,000
How to express the cost as a function of time?Given N(V) = 900t- 58 and C(N) = 45,000 + 5000N
To find cost C as a function of the time of the operation of the factory, we will substitute the values of N(V) into C(N). Thus:
Since N(V) = 900t- 58, we have:
C(t) = 45,000 + 5000(900t- 58)
= 45,000 + 4500000t - 290,000
= 4500000t - 245,000
Therefore, the cost as a function of the time of operation is C(t) = 4500000t - 245,000
Learn more about modeling function on:
https://brainly.com/question/24853174
#SPJ1
are the two triagles similar?if yes, complete the similarity statment.select all that apply
Answers
Answer:
The triangles are similar.
[tex]\Delta BAC\text{ \textasciitilde }\Delta YXZ\text{ by SSS similarity}[/tex]Explanation:
Given the triangles in the attached image;
we want to confirm if they are similar.
Let us compare the ratio of corresponding sides of the triangles.
For them to be similar the ratio of the corresponding sides of the triangles must be equal.
[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex]substituting the values in the figure;
[tex]\frac{AB}{XY}=\frac{18}{24}=\frac{3}{4}[/tex][tex]\frac{BC}{YZ}=\frac{27}{36}=\frac{3}{4}[/tex][tex]\frac{AC}{XZ}=\frac{33}{44}=\frac{3}{4}[/tex]The ratio of the corresponding sides are equal.
Therefore, the triangles are similar.
[tex]\Delta BAC\text{ \textasciitilde }\Delta YXZ\text{ by SSS similarity}[/tex]Determine the value(s) of θ (between 0 and 2π) where tan(θ)=1.θ=Determine the value(s) of θ (between 0 and 2π) where tan(θ)=−1.θ=
Answers
In this example, the rapper wants to divide a recipe in half to make a cake for 5 people instead of 10. Explain why he multiplies the first ingredient, ⅔ of a cup sugar, by ½.
Answers
The rapper multiplies the first ingredient, ⅔ of a cup of sugar, by ½ because as he wants to get the cups of sugar required for five people instead of ten, he can use the inverse of division, which is multiplication.
What is multiplication?Multiplication is one of the mathematical operations.
Multiplication uses the multiplicand and multiplier to compute the product, which is also described as the result of the multiplication operation.
The quantity of sugar required for 10 = ⅔
The quantity of sugar required for 5 = ⅔ ÷ 2
⅔ ÷ 2 = ⅔ x ½
= ¹/₃
Thus, by multiplying ⅔ by ½, the rapper gets the cups of sugar required for 5 people instead of 10 as ¹/₃ cups through the division inverse.
Learn more about multiplication operations at https://brainly.com/question/20628271
#SPJ1
In the news, you heard tuition is expected to increase from the current per cost $950 to $2,350 over the next ten years. This represents a __% increase from the current Tuition
Answers
ANSWER
[tex]147.37\%[/tex]EXPLANATION
To find the percentage increase in the tuition, we have to find the difference between the new tuition and the old tuition and divide it by the old tuition.
Therefore, we have that:
[tex]\%_{inc}=\frac{N-O}{O}\cdot100[/tex]Therefore, the percentage increase is:
[tex]\begin{gathered} \%_{inc}=\frac{2350-950}{950}\cdot100 \\ \%_{inc}=147.37\% \end{gathered}[/tex]That is the answer.
I need help please. I can’t do this I’m so lost!
Answers
To solve for the angles in a parallel line:
For a pair of parallel lines:
Corresponding Angles are equal m<1 = m<5 = 143°
Alternate Interior Angles are equal m<4 = m<6
Alternate Exterior Angles are equal m<2 = m<8
Consecutive Interior Angles add up to 180° m<3 + m<6 = 180
... then the lines are Parallel
[tex]\begin{gathered} m<5+m<6=180 \\ 143+m<6=180 \\ m<6=180-143 \\ m<6=37^0 \end{gathered}[/tex]Therefore the consecutive interior angles add up to 180
[tex]\begin{gathered} m<3+m<6=180 \\ m<3+37=180 \\ m<3=180-37 \\ m<3=143^0 \end{gathered}[/tex]Therefore the consecutive interior angles add up to 180
[tex]\begin{gathered} m<3+m<2=180 \\ 143+m<2=180 \\ m<2=180-143 \\ m<2=37^0 \end{gathered}[/tex]Hence the corresponding angle for m<3 = 143° and m<2 = 37°
What is the y-intercept of f(x) =
100-(3) * ?
5
A. (1,0)
B. (0,0)
(¹3)
D. (0, 1)
C.
Answers
Answer:
X intercepts: (100/3,0)
Y intercepts: (0,100)
Write out step by step what needs to be done in order to get the answer to the expressio
Answers
To get the answer for this expression, we can follow the next steps:
1. Obtain the product of each of the multiplications inside the square bracket:
[tex]5\lbrack9(2)-2(8)\rbrack=5\cdot\lbrack9\cdot(2)-2\cdot(8)\rbrack=5\cdot\lbrack18-16\rbrack[/tex]2.Now, subtract what is inside the right brackets, and then multiply the resulting numbers:
[tex]5\cdot\lbrack2\rbrack=5\cdot2=10[/tex]Therefore, the resulting answer is equal to 10.
how do I find b with the equation y=0.023x + b using the points (0, 11.08) and (1,11.06)
Answers
To find b in the equation y = 0.023x + b, you have to replace with a given point into the equation. For example, point (0, 11.08) means x = 0 when y = 11.08, replacing into the formula:
11.08 = 0.023*0 + b
11.08 = b
A street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within tolerated widths must be repaired.
Which of the following absolute value inequalities can be used to determine which streets are within tolerance? Let W be the width of the
street.
Answers
The absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.
We have been given that a street built in the city must be 25 feet in width with a tolerance of 0.5 feet.
Let's consider that W is the width of the street.
Then the absolute value inequalities would be;
|W - 32| ≥ 0.5
Hence, absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
Line LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?thank you ! :)
Answers
ANSWER
[tex]LM=85.5[/tex]EXPLANATION
The length of the midsegment of a trapezoid is equal to half the sum of the lengths of the two bases of the trapezoid.
This implies that:
[tex]LM=\frac{1}{2}(AB+DC)[/tex]Therefore, the length of LM is:
[tex]\begin{gathered} LM=\frac{1}{2}(46+125)=\frac{1}{2}*171 \\ LM=85.5 \end{gathered}[/tex]That is the answer.
The following scatterplot represents the number of negative consumer reviews for a given model of cell phone and the total number of that same cell phone model that were sold. Is it reasonable to predict that if there are 75 negative reviews the number of cell phones sold of that same model will be close to 850,000? Why or why not
Answers
According to the plotted line, we can see that for 75 negative reviews, an approximate number of phones sold is 600,000, that is not close to 850,000. Therefore, it is not reasonable to predict that if there are 75 negative reviews, the number of cell phones sold will be close to 850,000
A. 110 degreesB. 180 degrees C. The measure of the angle can not be determined D. 70 degrees
Answers
Given:
[tex]\angle4=70[/tex]To find
[tex]\angle5[/tex]Since the vertically opposite angles are equal.
So,
[tex]\angle4=\angle7=70[/tex]Then, the corresponding angles are equal.
Therefore,
[tex]\angle7=\angle5=70^{\circ}[/tex]Thus, the measure of angle 5 is 70 degrees.
PLEASE HELP due soon
Answers
Answer:
8x+35≤ 14<3x
x=0
A tractor trailer contains a cab for the driver and the trailer for the cargo. Suppose the weight of the cab is 7,600 pounds, and the weight of the trailer is 10,800 pounds. The trailer is carrying palettes for a shipment where each palette is 1,200 pounds. What is the total weight of the tractor trailer when there are 31 palettes in the trailer?
Answers
The total weight of the trailer is 55,600 pounds including the cab, trailer and the palettes
Weight of the cab = 7600 pounds
Weight of the trailer = 10,800 pounds
Weight of each palette carried by trailer = 1200 pounds
Weight: Weight is the result of multiplying the mass by the acceleration that is acting on it. Usually, it's the mass of the object times the acceleration brought on by gravity.
So, total weight of 31 palettes = 1200*31 = 37200 pounds
Total weight of the tractor = Weight of the cab + Weight of the trailer + Weight of 31 palettes
= 7600 + 10,800 + 37,200
= 55,600 pounds
So, total weight = 55,600
Learn more about arithmetic:
https://brainly.com/question/22260035
#SPJ1
Find the missing value in the ratio table
Answers
Here are the completed tables:
Coffee (ounces) 4 8 12 16
Cream (ounces) 3/8 3/32 1 1/8 1 1/2
Yards 4 8.7 13.6 25
Seconds 6.4 10 15.6 40
What are the missing values?Ratio is a concept that is used in mathematics to compare two or more numbers together. It shows the relationship between two or more numbers. Increase in the value of numbers that ratios to each other increase at a proportional rate.
The first step is to determine the amount of cream that is needed for 1 coffee = 3/8 ÷ 4
= 3/8 x 1/4 = 3/32
Amount of cream needed for 8 coffees = 3/32 x 8 = 3/4
Amount of cream needed for 16 coffees = 3/32 x 16 = 1 1/2
Now determine how much coffee is needed for 1 ounces of cream
4 ÷ 3/8
= 4 x 8/3 = 10 2/3
Amount of coffee needed for 1 1/8 ounces of cream = 10 2/3 x 1 1/8
32 / 3 x 9/8 = 12
Determine how many seconds is in 1 yard : 6.4 / 4 = 1.6
Seconds in 25 yards = 1.6 x 25 = 40
Determine how many yard is in 1 second : 4 / 4.6
Yards in 10 seconds = 4/4.6 x 10 = 8.7
Yards in 15.6 seconds = 4 / 4.6 x 15.6 = 13.6
To learn more about ratios, please check: https://brainly.com/question/9194979
#SPJ1
Desmond bets his buddy Calvin that he can calculate the height of the Cullison Monumentwithout googling it to find out. At 1:30 PM, Desmond measures the monument's shadow(22.5 feet) and Calvin's shadow (3.5 feet). If Calvin is 6.25 feet tall, use similar triangles toestimate the height of the monument.
Answers
Step 1
At 1:30 pm
Monument's shadow= 22.5 feet
Calvin's shadow =3.5 feet
Calvin is 6.25 feet tall
a) for the monument
shadow= adjacent side=22.5 ft
hypotenuse= unknow=h1
height of the monument = opposite side= y1
b) for Calvin
shadow= adjacent side=3.5 ft
hypotenuse= unknow=h2
height of the Calvin = opposite side= 6.25
Step 2
those triangles are similar, so the ratio between the shadow and the height must be constant, so
[tex]undefined[/tex]Solve for y.Simplify your answer as much as possible 6y+34+3y=7
Answers
To solve the given equation for y, first, we add like terms:
[tex]\begin{gathered} 6y+34+3y=7, \\ 9y+34=7. \end{gathered}[/tex]Subtracting 34 from the equation, we get:
[tex]\begin{gathered} 9y+34-34=7-34, \\ 9y=-27. \end{gathered}[/tex]Finally, dividing by 9, we get:
[tex]\begin{gathered} \frac{9y}{9}=-\frac{27}{9}, \\ y=-3. \end{gathered}[/tex]Answer: [tex]y=-3.[/tex]Ma Baker's Pies charges $12 for a pumpkin pie and $14 for an apple pie. Last week, they sold athird as many pumpkin pies as apple pies, for a total of $5,400. How many pumpkin pies were soldlast week ?
Answers
the third part can be expressed as x / 3 of pumpkins with a value of 5,400
[tex]undefined[/tex]The graph below shows Carlos’s speed on his trip to school. Which segment on the graph shows Carlos’s speed decreasing most rapidly? A. Segment CB. Segment EC. Segment FD. Segment I
Answers
Explanation
In the graph we can see different speeds Carlos used on his way to school, subdivided into different segments.
The segment on the graph that depicts Carlos's speed decreasing the most rapidly is given by the segment with the steepest look. By steepest look, this implies that the segment rises of falls sharply, in a form that is almost perpendicular.
Therefore, the right segment will be
Answer: Segment E
formula de la rotacion?
Answers
Answer:
Índice de rotación de personal= (A+D)/PE
Siendo A, el número de personas contratadas durante el período considerado. D, las personas desvinculadas durante el mismo período. PE, es el » promedio efectivo» del período considerado
Step-by-step explanation:
hope it helps have a nice day
