Answer:
Step-by-step explanation:
1 km = 0. 621371 miles
28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles
1 hour = 60 *60 seconds = 3,600 seconds
speed of 28,300 km/hr =
17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second
P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
Simplify (a – b)(a2 – 5ab + 2)
Answer:
5ab^2-6a^2b+a^3-2b+2a
Step-by-step explanation:
The simplified expression of expression (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b
What is Expression?An expression is combination of variables, numbers and operators.
To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:
(a + b)(c + d) = ac + ad + bc + bd
Using this property, we can multiply the two binomials as follows:
(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)
Now we can distribute the terms of each binomial:
= a³ – 5a²b + 2a – a²b + 5ab² – 2b
Simplifying the terms, we can combine like terms:
= a³ – 6a²b + 5ab² + 2a – 2b
Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b
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What is the equation of the perpendicular bisector of the line
segment between (-1,5) and (3, 7)?
Answer:
Step-by-step explanation:
d
can someone please help me with this question including a full explnation?
Given :-
Diameter of table = 2.3m Length of cloth to be hanged = 10cm .To find :-
The area of tablecloth required .Solution :-
According to Question ,
r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25mAs we know that ,
Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 m² ≈ 5m²a basket holds n apples. U-Pick 2n-3+ apples, and your friend picks n+4 apples. How many apples do you and your friend pick all together? How many baskets do you need to carry all the apples? Justify your answer.
Answer:
3n+1
Step-by-step explanation:
2n-3+n+4=3n+1
...............
In a walk-a-thon a sponsor will donate $20 and an additional $3 for each mile the participant walks. What is the rate of change in the situation? Fill in your answer in the boxes below.
Answer:
20 + 3x or +3 per mile
Step-by-step explanation:
one-third of the sum of x and 2 as an expression
Answer:
[tex]\frac{1}{3}[/tex](x+2)
Step-by-step explanation:
Hope this helps! :)
Step-by-step explanation:
1) Let the number be x.
2) To find one-third of a number, divide the number by 3 ,
3) x÷3.
HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION
y +2 = 1/2(x +2)
Answer:
Step-by-step explanation:
Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?
Answer:
1. y=20x+100(this is the equation)
2. 260(this is how much he has after 8 weeks)
Step-by-step explanation:
Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].
Johnny is saving money to buy a Nintendo Switch.
He already saved the amount of $100.
He plans to save from his allowance each week is $20
The equation that represents the total savings is mentioned below.
[tex]y=20x+100[/tex]
Therefore, Substitute the values and solve them further.
[tex]y= (20\times 8) + 100[/tex]
[tex]y= 260[/tex]
Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]
For more details refer to the link given below:
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2(x + 4) < 4x - 6 smallest integer
Answer:
The smallest integer is 8
Step-by-step explanation:
2( x + 4 ) < 4x - 6
4x - 6 > 2x + 8
2x > 14
x > 7
The smallest integer is 8
What is 5( x - 3 ) = 5x - 15?
[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]
The answer is 0.LHS = RHS, hence verified.Value of x (substitute 0 in the place of x).
[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]
So, value of x is 0.Find all numbers whose absolute value is 5.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answer:
5 , |-5|
Step-by-step explanation:
2 of the above are the absolute value of 5
The two numbers whose absolute value is 5 are 5 and -5.
Numbers whose absolute value is 5 can be both positive and negative.
The absolute value of a number is its distance from zero on the number line, so any number that is 5 units away from zero in either the positive or negative direction will have an absolute value of 5.
Here are the numbers whose absolute value is 5:
5 (positive 5, because it's 5 units to the right of zero)
-5 (negative 5, because it's 5 units to the left of zero)
Hence, 5 and -5 are the two numbers whose absolute value is 5.
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The opposite angles formed by two intersecting lines are ______?
1)of equal measures/ समान मापाचे
2)supplimentary / पूरक
3)of unequal measures / असमान मापाचे
4)corresponding angles / संगत कोन
Answer:
1)
Step-by-step explanation:
The opposite angles formed by two intersecting lines are of equal measures.
They are called vertically opposite angles.
Due tomorrow please help
Answer:
The choice B.
[tex]x > 4 \\ x < - 1[/tex]
I hope I helped you^_^
Mrs. James needs to have her Jeep repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality represents the greatest number of hours the mechanic can work without exceeding Mrs. James' budget?
Answer:
375 = 40x + 100
Step-by-step explanation:
Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?
Answer: 30
Step-by-step explanation:
40% = 12 | 40% + 40% = 80% | 80% = 24 | 12 / 2 = 6 | 6 = 20% | 40% + 40% + 20% = 30 questions
Please note that i'm not a professor and i might have this wrong.
the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced
If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%
How to find percentage reduction?
The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:
15 - 9 = 6 dollars
Therefore,
percentage reduction = 6 / 15 ×100
percentage reduction= 600 / 15
percentage reduction = 40%
Therefore, the percentage reduction in price is 40%.
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helpppppppppppppppppppppppppppppppppppppppppppppppppp plessssssssssss
screenshot
Answer:
2.511 square kilometers
The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.
Answer:
a
Step-by-step explanation:
Find g(f(x)).
f(x) = x + 1
g(x) = [tex]\sqrt{x} -3[/tex]
Please show work so I can understand it because my teacher has been out all week and I need to know how to do this for a test tomorrow.
Step-by-step explanation:
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[tex]5x^{2} -10x+5-xy+y[/tex]
Please help first person to answer correctly with no links get 50 points and marked as brainliest no links please
Answer:
C, first I'm not sure if it's correct, but hear me out.
Step-by-step explanation:
If we already know that B=34 we need to find out the rest.
B=50 (Estimated)
D=45 (Estimated)
34+50+45
34+50=84+45=129, 129 estimated=130, and since their is no answer choice but C it should be C, I could be very wrong though.
Can someone pls help me
__________
[tex] \: [/tex]
a² = c² - b²
a² = 9² - (√65)²
a² = 81 - 65
a² = 16
a = √16
a = 4
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]
[tex]\\ \sf\longmapsto P^2=81-65[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
I will mark brainly if correct
what are the answers
Answer:
1. £44.82
2. £99.78
3.not sure
4. not sure
which number is bigger 5.72 or 4.75?
Answer:
5.72
Step-by-step explanation:
Answer:
5.72 is bigger then 4.75
Step-by-step explanation:
Dividing Decimals by Decimals Word Problems
The Sanchez family drove 48.9 miles to the river. It took them 1.2 hours to get there. How fast did they drive in miles per hour?
Please answer quickly because this is due tomorrow
Answer:
speed = distance÷time 48.7÷1.2 = 40.58
What does this equal? Show your work pls
Answer:
can u show us the question
Step-by-step explanation:
How do I solve for Y?
Start with the small triangle on the right:
35 + 96 + x = 180
x = 49
Ah, you already have that. Nice!
Now move to the biggest triangle:
x + 77 + (35+y) = 180
but x = 49, so
49 + 77 + 35+y = 180
y = 19
Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the numbers 10, 1, and 0.1 in your explanation.
Answer:
the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1