The correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Given a table on which there are two column in which one column represents x values while other column represent the y values
We have to find whether the relationship between x value and y value is linear or exponential
From given table let,
y₁ = 34; y₂ = 41; y₃ = 48; y₄ = 55
x₁ = 1; x₂ = 2; x₃ = 3; x₄ = 4
If the relationship between the x value and y value is linear then the difference between two consecutive value of x value and y value would be equal
So y₂-y₁ = y₄-y₃ and x₂-x₁ = x₄-x₃
Putting the value we get difference of y value 7 and x value as 1 since it is same we can say that the relation ship between x value and y value is linear
Hence the correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values
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What are the sides of ∠E?
Answer:
C. FE and ED
Step-by-step explanation:
The question is asking what are the sides of angle E. I've marked angle E along with its sides in the attached picture.
One side of the angle E has to be ED.
However we have multiple options for the other side. It can be called FE, CE or BE.
So the answers could be any of:
- ED and FE
- ED and CE
- ED and BE
The option that has one of the possible answers is option C: FE and ED.
1. Each side of a square barn is 9 meters long.
a. What is the barn's
perimeter?
b.
What is the barn's area?
Answer:
The area and the perimeter of the square barn which has each side 9 meters long is 81 m² and 36 m.
Step-by-step explanation:
One week, Genesis earned $367.40 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $584.50?
Answer:
Step-by-step explanation:
Givens
time = 22 hourswage = 367.40time2 = ?desired wage2 = 584.50Comment
This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.
Equation
wage/time = wage2/time2 Substitute values.
Solution
367.40 /22 = 584,50 /x Cross multiply
367.40x = 22 *584.50 Simplify the right
367.40x = 12859 Divide both sides by 367.40
x = 12859/367.40
x = 35
Answer
Genesis will have to work 35 hours.
If the exchange rate when converting US Dollars to ZA rands is $1=R17
How much is Zar3400 in US DOLLARS
Answer:
200 US DOLLARS
Step-by-step explanation:
Given; $1=R17
To find: How much is Zar3400 in US DOLLARS
$1=R17
R3400=3400/17 US DOLLARS
=200 US DOLLARS
Hope my answer is right thank you.
Question 7 of 10
Which product is undefined?
A. CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix
B. NP, where N is a 2 x 1 matrix and Pis a 1 x 4 matrix
C. AB, where A is a 3 x 2 matrix and Bis a 3 x 1 matrix
D. HK, where H is a 3 x 3 matrix and K is a 3 x 1 matrix
The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
What is the matrix about?Looking at the product of matrix, note that to multiply the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.
And in this case (propensity), it is not satisfied by the first option because:
C = 3 x 1 and
O= 2 x 1 matrix
In this case CD is therefore undefined.
So we can say that The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
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larry measures an object mass in grams which of the following object is he most likely measuring
A - A lemon
B - A car
C - A surfboard
D - A horse
If Larry is measuring the object's mass, the object he is most likely measuring is; D: A horse.
How to Measure Mass?
There are different units of measurement for different parameters such as meters for length, seconds for time, Amperes for current e.t.c.
Now, we are talking about measurement of an object mass in grams. This means it has to be a living thing and as such from the options, the only living thing is a horse.
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what is the volume of a cone with a diameter of 16 centimeters and a height of 15 centimeters?
Answer:
The correct answer is 8cm.
Step-by-step explanation:
Vol. Of cone= 1/3pi r²h
= 1/3×3.14× 8²×15
= 8×8×5×3.14
64× 5×3.14
= 320×314/100
=16×314=5024 cm³
Hope this helps:) Goodluck!
Answer:
The correct answer is 8cm.
Step-by-step explanation:
Vol. Of cone= 1/3pi r²h
= 1/3×3.14× 8²×15
= 8×8×5×3.14
64× 5×3.14
= 320×314/100
=16×314=5024 cm³
Hope this helps:) Goodluck!
Find the slope of the line: x+4y+8=0
A) -4
B) 1/4
C) -1/4
D) 4
Answer:
C) -1/4
Step-by-step explanation:
respuesta .... es la opcion c
Each pepperoni slice is 78 of an inch long and costs $0.03. Exactly enough pepperoni slices are laid end to end to have a total length of 56 inches. What is the total cost of these pepperoni slices?
The total cost of these pepperoni slices is $1.92
What is the total cost of these pepperoni slices?
Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:
N*(7/8 in) = 56 in
Now we can find the value of N, the number of slices used:
N = (8/7)*56 = 64
And each slice costs $0.03, then the cost of the 64 slices is:
C = $0.03*64 = $1.92
The total cost of these pepperoni slices is $1.92
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can you guys help me with this question
The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
[tex]A_{circle}=radius^2*\pi[/tex][tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
[tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex][tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex][tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]Multiply
[tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex][tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]Simplify the expression
[tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex][tex]A_{circle}=\frac{616\ cm^2}{1}[/tex][tex]A_{circle}=616\ cm^2[/tex]Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle: πr²
Given:
π = ²²⁄₇r (radius) = 14 cmSubstitute the given values into the formula:
[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]
Therefore, the area of the circle is 616 cm².
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If the discount is 40% and the sales price is $78, what is the original price
Answer:
the original price of the product is $109.20
Answer:
109.2
Step-by-step explanation:
First multiply: 78 × 40 = 3120
Then Divide by 100: 3120 ÷ 100 = 31.2
Then add 31.2 to the sales price: 78 + 31.2 = 109.2
Hi can you help me guys please
The height of the cylinder will be 5 units based on the information given.
How to calculate the height?The cylinder has a volume of 45π cubic meters and the radius is 3 units.
The height will be calculated thus:
Volume of a cylinder = πr²h
45π = πr²h
45π = π(3²)h
45π = 9πh
h = 45π/9π
h = 5
Therefore, the height of the cylinder will be 5. units.
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A farmer has 324 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area?
The dimensions of each pen will maximize the total enclosed area are: Length 81 feet; Width 81 feet.
Dimension of each pen
Length = x
Width = y
Area = xy
Perimeter equation is
2(x + y) = 324
x + y = 162
Substituting the perimeter equation
Area = x(162 - x)
Area = -x2 + 162x
If the zeros of the quadratic are 0 and 162, then the median will be where the maximum area occurs.
162/ 2
= 81
Hence, the dimensions are
Length = 81 feet
Width = 162 - 81 = 81 feet
Therefore the dimensions of each pen will maximize the total enclosed area are: Length 81 feet; Width 81 feet.
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64^2 -7y+9 what is the answer
Answer:
y=586.4
Step-by-step explanation:
64^2= 64x64 = 4096
4096-7y+9=0
4105-7y=0 1. +7y on both sides
4105=7y 2. /7 on both sides
y=586.4
Find the length of Side BC.Round to the nearest tenth .
A.29 B.12 C.24 D.33
1 . A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. What was the length of each piece of rope in inches
2. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. what was the number of pints of water Scott drank yesterday
Division is one of the four fundamental arithmetic operations. The number of pints of water Scott drank yesterday is 4.2 pints.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. Therefore, the length of each piece of rope in inches will be,
Length of piece = 14.35 inches/7 = 2.05 inches
Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. Therefore, the number of pints of water Scott drank yesterday is,
Number of pints = 3.5 bottles × 1.2 pints = 4.2 pints
Hence, The number of pints of water Scott drank yesterday is 4.2 pints.
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Describe how you would The list below shows the ages of all the presidents inaugurated in the twentieth century. Make a stem-and-leaf plot to answer the question.
42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54
In a stem-and-leaf plot of the data, how many leaves does stem 5 have?show the number 4 and 89 on a stem-and-leaf plot.
The stem-and-leaf plots for both data set are shown in the attachment below.
Stem 5 would have 10 leaves.
How to Make a Stem-and-leaf Plot?For example, if 23, 24, 25, 28 are data points in a data distribution, 2 would be represented as a stem while 3, 4, 5, 8 would be the leaf of the stem. The data would be represented on the stem-and-leaf plot as: 2 | 3, 4, 5, 8.
Given the data, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, the stem-and-leaf plot is shown in the image attached below.
Stem 5 would have 10 leaves, as shown in the stem-and-leaf plot attached below.
The numbers 4 and 89 are represented on the second stem-and-leaf plot in the attachment below.
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Work out the circumference of this circle.
Give your answer in terms of pi.
Answer:
[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]
Step-by-step explanation:
Given that:Radius = r = 6 mm
Required:Circumference = C = ?
Formula:C = 2πr
Solution:C = 2(π)(6 mm)
C = 12π mm
[tex]\rule[225]{225}{2}[/tex]
Answer:
12π mm
Step-by-step explanation:
Circumference of a circle is given by the formula :
2πr
where r is the radius
We substitute our radius value from the diagram to find our answer:
2×π×r = 2×π×6
12×π = 12π
Units will me mm since this is a length
This is our final answer since we are told to leave it in terms of pi.
Hope this helped and brainliest please
the gas tank in minas car holds 15 gallons. Her car gets between 25 and 30 miles to the gallon. If Mina fills up the gas tank and then drives until she runs out of gas, what is the least number of miles she can drive?
A. 300mi
B. 375mi
C. 405mi
D. 450mi
the lowest mileage rate is 25 miles per gallon.
Multiply 25 by 15 gallons
25 x 15 = 375 miles
Answer: B. 375 miles
Part F What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’s data set on glasses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset
The doctors' mean absolute deviation on glassesThe dataset of doctor A is given as:
643 634 670 658 636 624 641 655 649 629
The dataset of doctor B is given as:
651 625 622 624 631 621 653 647 646 646
Using a statistical calculator, we have:
Doctor A
Doctor A: Mean Absolute Deviation (MAD) = 11.28Doctor B: Mean Absolute Deviation (MAD) = 12Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses
The variation of the two dataIn a dataset, the larger the mean absolute deviations value, the larger the variation.
By comparison, 12 is greater than 11.28
Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset
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I WILL GIVE BRAINLIEST here is a square
Answer:
135 degrees
Step-by-step explanation:
180-90=90/2=45
180-45=135
Hope this helped:)
The error term in a regression equation is said to exhibit homoskedasticty if _____. a. it has the same value for all values of the explanatory variable b. if the error term has a value of one given any value of the explanatory variable c. it has the same variance for all values of the explanatory variable d. it has zero conditional mean
The error term in a regression equation is said to exhibit homoscedasticity if it has the same variance for all values of the explanatory variable.
What is Homoscedasticity?This is a condition in which equal variance is assumed for different groups of data or variables.
The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.
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A sack of pet food costs $15.50.if you buy two sacks the shop only charges $13.25 per sack.What is the percentage discount per sack when you buy two sacks?
The percentage discount per sack when you buy two sacks is 14.5%
How to determine the percentage discount?The given parameters are:
Cost per sack = $15.50Discount cost = $13.25The percentage discount is calculated as:
[tex]Percentage = \frac{Cost - Discount}{Cost} * 100\%[/tex]
This gives
[tex]Percentage = \frac{15.5 - 13.25}{15.5} * 100\%[/tex]
Evaluate
Percentage = 14.5%
Hence, the percentage discount per sack when you buy two sacks is 14.5%
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If f(x)=2 sin 3x+C, then the maximum value of f(x) is:
1)C
2) C+2
3) C+3
4) C+6
Reason:
The largest sin(x) can get is 1, and the same goes for sin(3x).
Consequently, the largest 2sin(3x) can get is 2.
You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.
Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2
The value of p in the equation 2p - 3 = p + 2 Is
Answer:
p = 5
Step-by-step explanation:
Given equation:
2p - 3 = p+2
To Find:
Value of pSoln:
2p - 3 = p + 2
Subtract p from both sides:
=>2p-3−p = p+2-p
=>p-3 = 2
Add 3 to both sides:
=>p−3+3 = 2+3
=>p = 5
Hence,the value of p would be 5.
We can plug the value we got to the original equation to verify:
=> 2p - 3 = p + 2
p = 5=> 2(5) -3 = 5 + 2
[Make sure to simplify using PEMDAS]=> 10 - 3 = 7
=> 7 = 7 [Proved]
Hence,this equation is true.
[tex]\rule{225pt}{2pt}[/tex]
Acronym PEMDAS rule means:
P:ParenthesesE:ExponentsM:MultiplicationD:DivisionA:AdditionS:SubtractionAnswer:
p = 5
Step-by-step explanation:
First we add 3 to both sides to make :
2p = p + 5
Now we subtract p from both sides :
p = 5
Hope this helped and brainliest please
help me help me help me help me
Answer:
1. 4/12, 3/9, 2/6, 5/15
2. 4/8, 8/16, 6/12
3. 2/8, 4/16, 3/12
4. 6/8, 9/12, 4/16
Step-by-step explanation:
I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.
1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.
To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.
Step 1: reduce answer choices
6/16 = 3/8 (done by dividing both terms by 2)
4/10 = 2/5 (divide both by 2)
3/8 = 3/8 (fully reduced)
2/5 = 2/5 (fully reduced)
4/12 = 1/3 (divide both by 4)
5/10 = 1/2 (divide both by 5)
1/2 = 1/2 (fully reduced)
3/9 = 1/3 (divide both by 3)
2/6 = 1/3 (divide both by 2)
5/15 = 1/3 (divide both by 5)
3/8 = 3/8 (fully reduced)
3/4 = 3/4 (fully reduced)
2. This question is solved the same way as question 1.
Step 1: reduce answer choices
2/5 = 2/5
6/9 = 2/3
4/8 = 1/2
3/9 = 1/3
8/16 = 1/2
8/10 = 4/5
7/12 = 7/12
6/12 = 1/2
3. This question is solved the same way as questions 1 and 2.
Step 1: reduce answer choices
3/8 = 3/8
2/8 = 1/4
4/9 = 4/9
2/7 = 2/7
4/16 = 1/4
10/14 = 5/7
6/9 = 2/3
3/12 = 1/4
4. This question is solved the same way as questions 1, 2, and 3.
Step 1: reduce answer choices
6/8 = 3/4
4/9 = 4/9
4/6 = 2/3
9/12 = 3/4
10/12 = 5/6
6/9 = 2/3
12/16 = 3/4
7/9 =7/9
A racehorse weighs 490 kilograms. How much does it weigh in grams?
Answer:
490,000 grams
Step-by-step explanation:
To convert from kilograms to grams - multiply the number of kilograms by 1000. (there are 1000 grams in a kilogram)
[tex]490 * 1000 = 490,000[/tex]
Answer:
490000
Step-by-step explanation:
1 kg : 1000 gram
So,
490 kilograms : 490 ×1000 grams
: 490000 grams
the monthly salary of a married couple is rs 405000plua a festival expenses of 30000calculate the income tax paid by the couple in a year
The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.
What is an income tax?An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.
In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100
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Hey, I need help! ASAP.
The measure of <YXP and <YZQ are 35 and 65 degrees respectively
Equilateral trianglesEquilateral triangles are triangles that has equal sides and angles.
From the given diagram;
<YZQ + 90 + 25 = 180
<YZQ =180 -115
<YZQ = 65degrees
Determine the measure of <YXP
<YXP = 60 - 25 (XYZ is a 60degrees triangle)
<YXP = 35 degrees
Hence the measure of <YXP and <YZQ are 35 and 65 degrees respectively
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Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.
A.
(x + 9)(x + 9)
B.
(5x − 7)(x + 9)
C.
(5x − 7)(x + 9)(x + 9)
D.
(5x2 + 45x)(-7x − 63)