Answers
Table A represents a function.
Define functions.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Functions are crucial instruments in the creation of mathematical models because we continually develop beliefs about connections between variables in nature and society. Typically, functions in school mathematics contain numerical inputs and outputs and are frequently specified by algebraic expressions.
Given,
Table A represents a function,
A visual table with columns and rows that shows the function in relation to the input and output is called a function table. Function tables are frequently referred to as function machines by younger students. Each function has a rule that governs how the input and output are related to one another.
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Related Questions
you are renting a tent for an upcoming camping trip. tents r us charges a non refundable fee of 30$ and 5$ per night that u rent the tent. the function rule for renting the tent for n nights is? if you plan to rent the tent for 8 nights you will have to pay?
Answers
The function rule for renting the tent for n nights is t(n) = 30 + 5n.
The amount of money I have to pay if I rent the tent for 8 nights is $ 70.
Given that:-
Non-refundable fee charged by tents r us to reserve the tent = $ 30
Additional fee charged per night by tents r us = $ 5
We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.
We know that,
Function rule for renting the tent for n nights = Non-refundable fee + charge per night
Hence, we can write,
t(n) = 30 + 5n
Using the formula, putting n = 8, we get
t(8) = 30 + 5*8 = 30 +40 = $ 70.
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joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively. years later when the partnership was worth $1.6 million, thea decided to go to graduate school and sells her part of the partnership to joe.
Answers
To buy thea's share, Joe would need $ 533,333.33.
After buying thea's portion, Joe will own 41.6%.
Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.
Total ratio is = 1+4+7 = 12
hence joe = 1/12
thea = 4/12
taylor = 7/12
therefore share of each person:
1/12 × 1,600,000 = 133,333.33 -- Joe's share
4/12 × 1,600,000 = 533,333.33 -- thea's share
7/12 × 1,600,000 = 933,333.33 -- taylors share
total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil
to buy thea's share, Joe would need $ 533,333.33.
after buying thea's portion, Joe will own :
(1/12 + 4/12) = 5/12 = 0.416 = 41.6%
Joe would require $533,333.33 to purchase Thea's portion.
Joe will hold 41.6% after purchasing Thea's share.
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f(x)=-3x+3 +6; Find ƒ(0)
Answers
SOMEBODY PLS HELP WITH QUESTION 10!!
Answers
The average velocity in the first two seconds after the object is thrown; 0.
What is the average velocity on the first two seconds?It follows from the task content that the average velocity in the first two seconds is to be determined.
Given; h(t) = -16t² + 32t +50
Hence, the average velocity can be determined as the ratio of the change in displacement between two points and the change in time.
Hence, the change in displacement for the first two seconds can be determined from the position function given as;
h(2) = -16(2)² + 32(2) + 50 = 50.
h(0) = -16(0)² + 32(0) + 50 = 50.
Hence, the average velocity is given as; (h2 - h1)/(t2 - t1).
Average velocity = (50 - 50)/(2 -0)
Average velocity = 0/2
Average velocity = 0.
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Which statement about the function
f(x) = |x - 3| + 4 is true?
A.
B.
C.
D.
The minimum value of the function is 4.
The domain is
x > 3.
3
The range is all real numbers.
The axis of symmetry is at
x = -3.
Answers
Answer:
The minimum value of the function is 4.
Step-by-step explanation:
The minimum value of the function is 4.
There is no number of x that when the absolute value of (x-3) can be negative. For x = 3, the value is 0 and f(x) becomes 4 when the 4 is added to 0.
The minimum value of the function is 4.
Not true. If x is > 3, then f(x) will be greater than 4.
The range is all real numbers.
Not true, f(x) can never be less than 4, which occurs when x = 3
The axis of symmetry is at x = -3.
Not true. See attached graph. It is at x = 3.
Estimation A car takes 55.2 seconds to travel 1 mile. How long does it take the car to travel 3.6 miles? First round to the nearest whole number to find the estimated answer. Then find the exact answer.
Answers
After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.
What are mathematical operations?An operation is any mathematical operation that converts zero or more discrete input values into discrete output values.The number of operands affects how complex the operation is.Numerical inputs are converted into numeric outputs in the four mathematical operations (i.e., another number).These include addition, subtraction, division, and multiplication.So, in seconds the car would take to travel 3.6 miles:
The car takes to travel 1 mile: 55.2 secondsThen, calculate as follows to get in how many seconds the car will travel 3.6 miles:
55.2 × 3.6 = 198.72Rounding off: 199 secondsTherefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.
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In a recent experiment conducted by the Department of Energy, light bulbs were tested to measure how long they lasted. Each company submitted 20 light bulbs, which were turned on and left on until they burned out. Here were the results:
-All 20 "Super Bright" light bulbs burned out after exactly 1,500 hours.
-The first "Delightful Bright" light bulb burned out after 1,200 hours, and one additional bulb burned out every 50 hours until they were all burned out.
-One of the "Pretty Bright" light bulbs burned out after just 16 hours. The other 19 bulbs lasted between 1,900 and 2,000 hours.
Which of the following is true?
Choose all answers that apply:
A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.
B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.
C. The distribution of Delightful Bright light bulb life is skewed right.
D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.
Answers
The correct options regarding the distributions are given as follows:
A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.
B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.
D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.
MeanThe mean of a distribution is given by the sum of all observations divided by the number of observations.
For the Super Bright light builds, the mean is given as follows:
Ms = 20 x 1500/20 = 1,500 hours.
For the Pretty Bright lights, the minimum mean is given as follows:
Mp = (16 + 19 x 1900)/20 = 1,805.8 hours
This mean is greater than 1,5000 hours, hence option A is correct.
Interquartile rangeThe interquartile range (IQR) of a distribution is given by the difference between the third quartile and the first quartile of a distribution.
For each distribution, the IQR is given as follows:
Super Bright: 0. (all at 1500).Delightful Bright: 500. (difference of 50 between the 5th observation and the 15th observation).Pretty Bright: less than 100, as the outlier does not count for the IQR.Skewness of Delightful BrightThe delighful bright distribution has a constant increase of 50 in the duration of each bulb, hence the distribution is symmetric around the mean and option c is incorrect.
Standard deviationThe standard deviation is given by the square root of the sum of the differences squared between each observation and the mean.
Since the Super Bright measures are all equal, their standard deviation has the lowest possible value, and option D is correct.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
x^3 - 10 = -2
(my solution first then ill arrange) :
First, we add 10 to each side :
x^3 = 8
Now, we take the cube root of both side :
[tex]\sqrt[3]{8} = x = > x = 2[/tex]
And, we get a rational solution.
So, the correct arrangement is g,d,c
If 4 inches of rain fell in 3 hours, how much rain fell on average each hour? (HURRY PLEASE).
Answers
4(inches) divided by 3(hours) =1.3333333
Answer:
4/3 inches per hour
Step-by-step explanation:
take the number of inches and divide by the time to find the rate
4 inches / 3 hours
1.333333 inches per hour
4/3 inches per hour
PLS HELP ASAP
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2003, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2011, rounded to the nearest whole number. (please include work)
Answers
The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases
What is a linear regression?A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.
The linear regression equation is presented as follows;
y = a + b•x
Where;
[tex] \displaystyle{ b = \frac{ \sum (x - \bar x) \times (y - \bar y)}{ (x - \bar x)^{2} } }[/tex]
[tex] \displaystyle{ a = \frac{ \sum (y ) + b \times \sum (x)}{ n } }[/tex]
[tex] \displaystyle{ \bar x}[/tex] =(0+1+2+3)/4 = 1.5
[tex] \displaystyle{ \bar y}[/tex] =(994+946+928+880)/4 = 937
[tex] \displaystyle{ \sum x}[/tex] =(0+1+2+3) = 6
[tex] \displaystyle{ \sum y}[/tex] =(994+946+928+880) = 3748
n = 4
Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;
y = 991 - 36•x
Which gives;
b = -36
a = 991
From the given parameters, we have;
x = The number of years since 2003
y = The number of newly reported crime cases
Required;
The number of projected new cases in 2011
Solution;
In 2011, x = 2011 - 2003 = 8
Which gives;
y = 991 - 36×8 = 703
The number of newly reported crime cases in 2011 is 703
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The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $81. How much is each allowance?
You
Friend
how much money do you and how much dose your friend have
.
Answers
Your monthly allowance and your friend's monthly allowance is $45 and $36 respectively.
From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.
What is the ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 5+4=9
Now, your monthly allowance = 5/9 × 81
= 45
So, your friend's monthly allowance = 81-45 = 36
Therefore, your monthly allowance and your friend's monthly allowance is $45 and $436 respectively.
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Find the volume of the oblique cylinder below. Round your answer to the nearest tenth if necessary.
Answers
The volume of the oblique cylinder is 1,538. 6 cubic units
How to determine the volumeIt is important to note that the formula for determining the volume of an oblique cylinder is expressed as;
V = πr²h
Where;
v is the volume of the oblique cylinderπ takes the value 3. 14r is the radius of the oblique cylinderh is the height of the oblique cylinderNow, let's substitute the values into the formula
Volume, v = 3. 14 ×(7)² × 10
find the square of the value
Volume, v = 3. 14 × 49 × 10
Multiply the values
Volume, v = 1,538. 6 cubic units
Hence, the volume is 1,538. 6 cubic units
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Answer: 2010.6 units^3
Step-by-step explanation:
volume=πr2
=π multiply 8^2 multiply 10
=π times 64 times 10
=2010.619298
therefore 2010.6 units^3 is the answer
write 6/9 in lowest terms
Answers
Answer: 2/3
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of numerator (6): 1, 2, 3, 6
Factors of Denominator (9): 1, 3, 9
both numbers have a common factor of 3 which is the greatestSteps to Calculate:
1. Find the GCF
2. Divide numerator and denominator by GCF
6/3 = 2
9/3 = 3
Therefore, the lowest term would be 2/3
Alicia's class is making care packages for a local shelter. They can make eight care packages with 240 food items. How many care packages can they make with 510 food items?
Answers
Answer:
61 care packages
Step-by-step explanation:
240 food items = 8 care packages
240/8 = 30
30 food items = 1 care package
240 x 2 = 480
480/8 = 60
480 food items = 60 care packages
510 - 480 = 30
30 food items = 1 care package
60 + 1 = 61
61 care packages
John had k dollars to begin with. He just spent 34 dollars. Using k, write an expression for the number of dollars he has left.
Answers
Answer: k-34
Step-by-step explanation:
k is the front of the expression because it’s what he started with in his situation
to spend money you use - for subtraction
bc its an expression i’m assuming that’s it lol
Which postulate proves the two triangles are congruent?
A. ASA
B. SAS
C. HL
D. SSA
Answers
I hope this helps
An animal shelter had 7 cats , 8 dogs and 5 rabbits available for adoption. what is the ratio of rabbits to total animals at the shelter
Answers
Answer:
1:4
Step-by-step explanation:
There is 7+8+5 = 20 animals total rabbits are 5
5:20 is the same as 1:4
The vertices of △LMN are L(2, 2), M(5, 3), and N(9, 1). Translate △LMN using the vector 〈−2, 6〉.
Answers
Answer:
(0, 8 ) , (3, 9 ) , (7, 7 )
Step-by-step explanation:
under the translation < - 2, 6 >
subtract 2 from the original x- coordinate
add 6 to the original y- coordinate
then
L (2, 2 ) → L' (2 - 2, 2 + 6 ) → L' (0, 8 )
M (5, 3 ) → M' (5 - 2, 3 + 6 ) → M' (3, 9 )
N (9, 1 ) → N' (9 - 2, 1 + 6 ) → N' (7, 7 )
A phone company charges $12 a month with a $20 sign up free.
Answers
Monthly Company charges: $12
Sign up fee: $20
Since we don’t know the amount of months represent this unknown variable with n.
Since $12 corresponds with the amount of months we will multiply $12 with n which make it: 12n. The sign up fee is not monthly so it’s additional.
Let the total cost be represented as T: the equation will be T = $12n + 20
Once again I don’t know what you are asking for, so if this is wrong or not what you are looking for I apologize.
Jan wants to create the perpendicular bisector of line segment AB.
She places her compass on point A and opens it with the width equal to the length of the line segment AB. She makes arcs above and below the line segment.
What could be Jan's next step to create the perpendicular bisector of line segment AB?
A. place the compass on the approximate midpoint and draw intersecting arcs
B. connect each arc with point B using a straightedge
C. connect the two arcs using a straight edge
D. place the compass on point B and complete the same steps that she did for point A
Answers
Next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by
D. put the compass on point B and complete the same steps that she did for point A.
As given in the question,
To draw the perpendicular bisector of given line segment AB
Required steps:
First put the compass on point A and take the measure of the width equal to the length of the line segment AB and draw arcs above and below the given line segment.Now ,put your the compass on point B and repeat the same steps as you have used to draw arc from point A.Join both the arcs using a straight line.line segment draw on the arc to join them is known as perpendicular bisector.Therefore, next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by :
D. put the compass on point B and complete the same steps that she did for point A.
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14.37x14.37 rounded by the nearest mile
Answers
The numbers 14.37x14.37 rounded by the nearest mile is 207 miles.
What is rounding off numbers?It should be noted that rounding of numbers simply means making the numbers more precise to a certain place values.
In this case, 14.37 × 14.37 will be illustrated as:
= 14.37 × 14.37
= 206.4969
= 207
This gives 207 miles.
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Roland needs 8 8 sheets of fabric that are each 45 4 5 yard long. use the drop-down menus to complete the equation. clear check 8 8 sheets 4 4 yards per sheet = = yards 5 5
Answers
Roland needs a 32/5 part sheet of fabric.
Given that,
Roland needs 8 sheets of fabric that are each 4/5 yard long.
We have to determine the length of the sheet of fabric required.
Complete the equation.
According to the question,
To complete the equation following all the steps given below.
Roland needs 8 sheets of fabric that are each 4/5 yard long.
Then,
(a/b)(c/d)
(8/1) (4/5)
32/5
Hence, Roland needs a 32/5 part sheet.
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A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in ascending order.
549.010, 549.101, 549.02, 549.3
101.2, 101.04, 104.21, 110.0
834, 834.19, 834.2, 834.29
392.4, 397.46, 399.53, 399.062
im too lazy
Answers
Answer: 834, 834.19, 834.2, 834.29
Step-by-step explanation:
Other options would be correct if the decimals were not placed where they were.
Is it possible for three planes to intersect along the same line? Explain your
reasoning.
Answers
Answer:
There is a possibility that all three planes will intersect each other but not at a certain point but on the line. This can happen and the best way for its identification is that if the rank of the coefficient matrix, as well as the augmented matrix, is equal to two.
Use the following unit fractions to express 90 miles per hour in feet per second.
5280 ft 60 min
1 mil
1 hr
90 mi
hr
+
ft
sec
, and
60 sec
1 min
(Simplify your answer.)
Answers
Answer:
1235
Step-by-step explanation:
hope
Given the figure below, find the values of x and z.
(14x+35) is congruent to Z
The other angle is (10x+49)
Answers
The values of x and z is 61/38 and 57.47 respectively.
The three angles of a triangle is 14x + 35, z and 10x + 49
It is given that 14x + 35 is congruent to Z
The other angle is (10x+49)
In any trinagle the summation of all three angles of that triangle is 180 degree
here the summation of all three angles that is
14x + 35, z and 10x + 49 is 180 degree
(14x + 35) + (14x + 35) + 10x + 49 = 180 (angle z is same as angle 14x + 35)
14x + 35 + 14x + 35 + 10x + 49 = 180
38x + 119 = 180
38x = 61
x = 61/38
z = 14x + 35
z = 14(61/38) + 35
z = 57.47
Therefore the values of x and z is 61/38 and 57.47 respectively.
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solve the proportion w/6.4 = 1/2
Answers
cross multiply
[tex]\begin{gathered} 2w=6.4\times1 \\ 2w=6.4 \\ w=\frac{6.4}{2} \\ w=3.2 \end{gathered}[/tex]when 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by which power of 10
Answers
Answer:
9th power of 10
Step-by-step explanation:
To find the power of 10 in scientific notation. keep moving the decimal point to the left until you have only one digit to the left of the decimal point. Count the number of places you have moved the decimal point to the left and that is the exponent of 10 in scientific notation
5,708,100,000 does not have a decimal point but you can imagine a d.p at the end of the number
To get only one digit to the left of the d.p, you have to move it 9 places to the left until you get 5.7081
Therefore in scientific notation it is 5.7081 x 10⁹
The power is 9
A monster cookie recipe calls for 2 cups of chocolate chips, 1 cup of nuts and 3 cups of oatmeal. Mary has 9 cups each of oatmeal, chocolate chips, and nuts. If Mary repeats this exact recipe as many times as possible, how many cups of chocolate chips will she use?
A. 2 cups
B. 4 cups
C. 6 cups
D. 8 cups
Answers
Answer:4
Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.
Answer: B
Step-by-step explanation:
which is true about parallel lines? they always intersect at the origin. they have equal slopes. they meet at a angle. the product of their slopes is always 0.
Answers
Answer:
They have equal slopes.
Step-by-step explanation:
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.
