Answer:
Linear Equation 1 — 3xyz
Linear Equation 2 — x = 4 and y = 2
Linear Equation 3 — x = 1 and y = (-1)
Step-by-step explanation:
(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
The required result must be 3xyz.
(Linear Equation 2)
2x − y = 6 ....(1)
x − y = 2 ....(2)
Equation(2)−Equation(1) we get
x − y − 2x + by = 2 − 6
(−x) = (−4)
x = 4
Substitute x = 4 in (1) we get
2x − y = 6
2*4 − y = 6
8 − y = 6
(−y) = 6 − 8
y=2
(Linear Equation 3)
ax + by = a − b .......... (1)
bx − ay = a + b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a²x + aby = a² − ab ..........(3)
b²x − aby = ab + b² ......... (4)
Adding (3) and (4), we get,
(a² + b²)x = a² + b²
x = 1
Now, from (1),
ax + by = a − b
a + by = a − b
by = (−b)
y = (−1)
Hope my answer helps you ✌️
Mark BRAINLIEST
Need help ASAP please
V = l x w x h /3 = 8 x 8 x 12 /3 = 256
The volume would be 256.
Help me with these………
Answer:
5)= U(-3,0), M(-1,4), L(-2,0)
6)= R(-4,2), D(-4,5), L(0,2)
Step-by-step explanation:
The x shouldn't change. If this isn't correct, I apologize. But I'm sure I calculated this right.
The coordinates of the figure after a translation of 5 units up is U' ( -3 , 1 ) , M' ( -1 , 4 ) and L' ( -2 , 0 )
The coordinates of the figure after a translation of 3 units up is R' ( -4 , 0 ) , D' ( -4 , 4 ) , L' ( 0 , 3 ) and F' ( 0 , 0 )
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the translated figure be represented as A
Now , the coordinates of the figure are
a)
The coordinates of the figure are U ( -3 , -4 ) , M ( -1 , -1 ) and L ( -2 , -5 )
And , when the translation is up , the y coordinate increases by d units
The coordinates of the figure after a translation of 5 units up is U' ( -3 , 1 ) , M' ( -1 , 4 ) and L' ( -2 , 0 )
b)
The coordinates of the figure are R ( -4 , -3 ) , D ( -4 , 0 ) and L ( 0 , 0 ) and F ( 0 , -3 )
And , when the translation is up , the y coordinate increases by d units
The coordinates of the figure after a translation of 3 units up is R' ( -4 , 0 ) , D' ( -4 , 3 ) , L' ( 0 , 3 ) and F' ( 0 , 0 )
Hence , the translation is solved
To learn more about translation click :
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To compare the measures of center of two data sets as a multiple of their measures of variation, their measures of variation must be similar. Why do you think this is true?
To compare two data sets, their variation must be similar because the variation will affect many other variables, including the mean.
What is the variation?When referring to data, the variation is about how much the data variates or the range of the data. For example, if you ask people about their age, the data can spread from 10 years old to 90 years old.
Why is variation important?This affects other variables when analyzing data such as the mean, which implies you can only compare two sets of data if the variation is similar.
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20 POINTS MATHEMATICS!! QUESTION IN THE IMAGE
What is the volume of these two prisms added together?
A) 408 in.3
B) 336 in.3
C) 264 in.3
D) 72 in.3
Answer:
408 in³
Step-by-step explanation:
I did the math so hopefully its correct. I'm pretty sure it is.
Emily sold 93 boxes of cookies for a fundraiser. If she sold 60% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
A.
153
B.
558
C.
155
D.
62Emily sold 93 boxes of cookies for a fundraiser. If she sold 60% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
A.
153
B.
558
C.
155
D.
62
Answer:
62;*+"+"+"+"+"+"_+"+"+"++$+#$-_($+$-_+'("!$!(__(($($($($$(_((__++_+_+_+_
Help with this please.
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
The average grain of salt is 0. 0003 meters wide. Rhinovirus, which causes the common cold, is 0. 00000003 meters wide. How many times wider is a grain of salt than Rhinovirus? Choose the correct answer. A. 1 × 102 times B. 1 × 103 times C. 1 × 104 times D. 1 × 105 times
Number of times a grain of salt is wider than Rhinovirus
= width of average grain of salt / width of rhinovirus
=0.0003 / 0.00000003
=1 × 10^4
Hence, the number of times a grain of salt is wider than Rhinovirus is 10,000 times.
Does 6/10+8/100 = 14/10 or 68/10??
Answer:
The answer is 68/100 or 17/25
Step-by-step explanation:
To solve this problem, you need to find common denominators. In this equation, the easiest way to do this is to make both fractions have a denominator of 100. 8/100 is already in the proper denominator, and 6/10 can be multiplied by 10 to get 60/100. After adding, you get 68/100 which simplifies to 17/25
Please Answer Asap Will give brainliest
Two trains, Train A and Train B, weigh a total of 346 tons. Train A is heavier than Train B. The difference of their weights is 238 tons. What is the weight of each train?
Answer:
A=292, B=64
Step-by-step explanation:
A+B=346 equ 1
A>B
A-B=238 equ 2
A=238+B
input into equ 1
238+B+B=346
238+2B=346
collect like terms
2B=346-238
2B=108
divide both sides by 2
B=54
A=238+B
A=238+54
A=292
Please answer all questions and number
help ASAP please and thanks
help me pls thanks :) (also i need to finish my topics fast so i need answers and an explaination)
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
Please help and answer all questions or I will report as incomplete. Thank you!
Answer:
1. 18n+9
2. 6s-54
3. 3x+12
4. 6s
5. 5z+30
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red. Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).
Answer: 0.75 or [tex]\frac{3}{4}[/tex]
Step-by-step explanation: Well there are 2 section colored purple, 2 sections yellow, 3 sections are blue, and 1 section is red.
First lets find the number of favorable outcomes, which would be outcomes with out yellow. 6 out of 8 sections do not have yellow therefore the amount of favorable outcomes is 6.
Now for the total amount of outcomes which is 8.
If we input those numbers in this formula [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] so [tex]\frac{6}{8}[/tex] we get 0.75 or [tex]\frac{3}{4}[/tex].
Please answer ALL QUESTIONS THERE IS MORE THAN 1
Answer:
5f - 8
7m + 7
5m + 8
9w + 58
5x + 10
Step-by-step explanation:
f + 4(f -2)
f + 4f -8
5f - 8
9m + 7 - 2m
7m + 7
5(3 + m) - 7
15 + 5m - 7
5m + 8
9(w + 6) + 4
9w + 54 + 4
9w + 58
a = lx
a = (x+2)5
a = 5x + 10
Worth 20 pts:
There are many cylinders with a height of 18 meters. Let r
Represent the radius in meters and v represent the volume in cubic meters.
Complete he equation that represents the volume v as a function of the radius r.
Complete the table:
Answer: 18, 72, 288
Step-by-step explanation:
The formula for cylinder volume is V=π r^2 h
Substitute: radius =1 and height =18
V= 18 pi
radius=2
V=72 pi
radius=4
V= 288 pi
Of course, pi appears to already be written there for you :)
Hope this helps!
MM
write as a product bx^2+2b^2-b^3-2x^2
PLS HELP ME I NEED AN ANSWER ASAP!!!!! I HAVE RSM ON VALENTINES DAY PLSSSSSSSSSSSSSSS HELP
If you invest $550.00 at a 4% interest rate, what will be the interest?
help asap, pls and thanks :)
Answer:
34 cm^2
Step-by-step explanation:
The formula for the area of a trapezoid is (1/2) * (b1 + b2) * height, where b1 and b2 are the different base lengths. In this problem, b1 + b2 = 4 + 13 = 17cm. The height is given in the figure as 4 cm. Thus, the area is (1/2) * (17cm) * (4cm) = 34 cm^2
Trigonometric area formula: Area = The area of triangle EFG is 34. 8 square units. What is the perimeter of triangle EFG to the nearest unit? 29 units 30 units 41 units 60 units
Answer: 30 units (look at the image for the explanation)
Step-by-step explanation:
Evaluate. 4² - 6 ÷ 2 + 3 =
Answer:
16-3+3= 16 is the answer.
4^2=16 then 6 divided by 2 equal 3 then plus 3= 16
Answer:
16
Step-by-step explanation:
(4²) - (6 ÷2)+3
(4²) - (6 ÷2)+3(16 - 3) + 3
(4²) - (6 ÷2)+3(16 - 3) + 313 + 3
(4²) - (6 ÷2)+3(16 - 3) + 313 + 316
Hence, the correct answer is 16
Width (m)
Area (m2)
1 6
5 10
10 150
11 176
14 266
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
Hours worked vs. Salary
Hours Worked
Salary
0 0
10 $300
20 $600
30 $900
40 $1200
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
Height vs. Age
Height (cm)
Age (years)
160 20
160 25
160 30
160 35
160 40
160 45
160 50
Function? (Yes or No) ________________
If it is a Function what is the:
Domain = _____________
Range = _______________
show all your work and why you think it is a yes or no
I will give brainliest for who ever has the quickest and correct answer!!!
Together, teammates Pedro and Ricky got 2685 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
Answer:
1,483 is the answer
Answer:
Step-by-step explanation:
Let's say Pedro got x hits
and Ricky got y hits.Given,Pedro and Ricky together got 2685 hits.So, the
equation will be as (x+y)=2685................eq (1)
Given,Pedro had 281 more hits than Ricky.So the equation looks like
x=281+y..........eq(2).
substitute eq(2) in eq(1).We get,
2685=(281+y)+y
2685=281+2y
2685-281=2y
2404=2y
2404/2=y
y=1202
substitute y=1202 in eq(2).We get,
x=1202+281
x=1483
So,Pedro hit 1483 and Ricky hit 1202
Name : S.Veda Prakash Naidu
Please answer all questions and number your answers.
Maya measured the height of the seedling she was growing. She made a line plot to record the data. 1/2 is xx, 5/8 is xx, 3/4 is xxxx, 7/8 is xx. What was the growth, in inches, Maya's seedling?
Answer:
2 3/4 (mixed #) or 1.08267716536 (in conversion)
Step-by-step explanation:
the process is shown on the picture
Miguel will spend at least $33 on gifts. So far, he has spent $15. What are the possible additional amounts he will spend?
Use C for the additional amount (in dollars) Miguel will spend.
Write your answer as an inequality solved for C.
Answer:
$18
Step-by-step explanation:
$33-$15(he spent them)
=$18
C=$18
What is the ordered pair ?
-4x+6y=-28
4x-6y=28
HELP PLEASE A cylinder has a radius of 3 cm and a height of 5 cm. Please answer in either fraction, mixed number or decimal.
Answer:
45π
Step-by-step explanation:
V = πr^2h
3^2 = 9
9*5 = 45
45π
(2. 135)
(3. 22.5)
Answer: slay
Step-by-step explanation:
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent?
Answer:
Step-by-step explanation:
Part A: A reasonable domain to plot the growth function would be from 0 to a reasonable maximum number of days, such as 30 or 60, depending on the duration of the study.
Part B: The y-intercept of the graph of the function f(d) represents the initial radius of the algae when d = 0, which would be 9 mm.
Part C: To find the average rate of change of the function f(d) from d = 3 to d = 9, we can calculate the difference in the function values at these two points and divide it by the difference in the input values. The average rate of change represents the average growth rate of the algae over that time period.
help me answer this please
Answer: 22
Step-by-step explanation:
Area of rectangle: 6
Area of triangle: 4+3+1 = 8
8x7=56/2 =28
28-6=22
