Answer:
The man's income by the 20th week will be Rs. 1770
Step-by-step explanation:
Given that the income of man in first week is Rs. 60
It is also mentioned that the income increases every week then the previous one.
which means the weekly incomes will be like:
60,63,66,69.....
As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.
Where
[tex]a_1 = 60\\d = 3[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values of d and a_1 we get
[tex]a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n[/tex]
This is the general formula to find the income of any week. Now for 20th week,
n = 20
[tex]a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117[/tex]
The income for 20th week is 117.
As we have to find the total income for 20 weeks
We will use the summation formula for arithmetic sequence.
[tex]S_n = \frac{n}{2}(a_1+a_{20}})[/tex]
Putting the values
[tex]S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.[/tex]
Hence,
The man's income by the 20th week will be Rs. 1770
Express as a trinomial. (3x – 10) (3x - 1)
Answer:
9x² - 33x + 10
Step-by-step explanation:
Given
(3x - 10)(3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 1) - 10(3x - 1) ← distribute both parenthesis
= 9x² - 3x - 30x + 10 ← collect like terms
= 9x² - 33x + 10
Twice a number, increased by the sum of the same number and five.
Answer:
2x+(x+5)
not 100% sure but this is what i got
Step-by-step explanation:
2 X + 3 Y=_ 4
_ 5 x + 4 Y + 13 =0
X = -10
Y = 8
2 X + 3 Y = 4 ---- (i)
5 X + 4 Y + 13 = 0 ---- (ii)
rearranging eqn (ii), we have
5X + 4Y = -13 ----- (ii)
multiply eqn (i) by 5 and eqn (ii) by 2
10X + 15Y = 20 ---- (iii)
10X + 8Y = -26 ---- (iv)
subtracting eqn (iv) from (iii), we have
10X - 10X + 15Y - 8Y = 20 - (-26)
0 + 7Y = 20 + 26
7Y = 56
Y = 56/7
Y = 8
Substituting Y into eqn (i), we have
2X + 3Y = 4
2X + 3(8) = 4
2X + 24 = 4
2X = 4 - 24
2X = -20
X = -20/2
X = -10
find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math
Answer:
wheres A though? Try to provide a picture or something.
Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
They form an acute angle.
They form an obtuse angle.
They point in the same direction.
They point in opposite directions.
Answer:
no its not its b The angle between the vectors is obtuse.
Step-by-step explanation:
oh for the other one
he is right for that one but im right on the other thing for it like it
Both vectors point in the same direction.
Dot products of vector:The dot product of two vectors is given as,
[tex]a\cdot b=ab*cos\theta[/tex]
Where [tex]\theta[/tex] is angle between two vectors.
Given that, [tex]a\cdot b=24,a=4,b=6[/tex]
Substitute values in above relation.
[tex]24=4*6*cos\theta\\\\cos\theta=24/24=1\\\\\theta=cos^{-1}1=0[/tex]
Thus, both vectors point in the same direction.
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15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y=5
and passing through (2, 3)
Answer:
Step-by-step explanation:
We know that parallel line must have the same slope
First we change the given equation to slope intercept form y =mx +b
From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)
find for y by subtracting 3x from both sides of the equation
3x +y = 5 -3x-3x
we get : y = -3x +5
Use the x and y values given (2,3) and substitute in the equation above
to find find for b (remember we need a new y intercept..b)y = -3x + b
3 = -3(2) + b
3 = -6 + b
b = 6 = 3
b = 9
The new equation that's parallel to the given equation would be
y = -3x + 9
Is this graph a function or not a function
Answer:
YEs it is a function
Step-by-step explanation:
Answer:
its a function
Step-by-step explanation:
A function from set X to set Y assigns one of Y's elements to each of X's elements.
Find the value of 5 (3)
Answer:
15
Step-by-step explanation:
You take 5 times 3.
help pleaseeee slope of a line~ if there are two answers ill give brainliest for sure!
Answer:
Step-by-step explanation:
The answer would be 1/3
Hope this helps :)
A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?
Answer:
The probability is;
0.0000003645
Step-by-step explanation:
The probability of packages being early p is 90% = 0.9
The probability of packages being late q will be 1-p = 1-0.9 = 0.1
So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem
That will be;
P(X = 2) = 10 C 2 0.9^2 0.1^8
= 0.0000003645
Answer:
0.19
Step-by-step explanation:
took the quiz
The sum of two numbers is 64 and the difference is 8. What are the numbers?
Answer:
The answer is 36 and 28
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
The addition is one of the four fundamental mathematical operations. The two of the given numbers are 36 and 28.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Let the sum of two numbers be represented by a and b.
Given that the sum of the two numbers is 64. Therefore, we can write,
a + b = 64
Also, it is given that the difference between the two numbers is 8, therefore, we can write,
a - b = 8
Adding the two of the equation formed together, then,
a + b + a - b = 64 + 8
2a = 72
a = 72/2
a = 36
Substitute the value of a in any one of the two equations,
a + b = 64
36 + b= 64
b = 64 - 36
b = 28
Hence, the two of the given numbers are 36 and 28.
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I need to know the measurement of the fourth angle
Answer:
108° Make me Brainliest pls
Answer:
108 degrees
Step-by-step explanation:
All 4 angles of a quadrilateral added together is always equal to 360 degrees.
252 is the sum of 3 angles
therefore, in order to find the fourth measurment, we subtract 360-252
=108
Hope this was helpful
4.There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year. The zookeeper asked Abdulla and Maryam to determine how many pounds of vegetation are required to feed all of the elephants. They wrote their solutions in scientific notation.
Answer:
1.728 × 106 pounds of vegetation
Step-by-step explanation:
From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.
Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
Answer:
A,D
Step-by-step explanation:
The requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Consider trapezoid ABCD,
As we can see the trapezoid is translated 3 units to the left and one unit up,
So the expression of the given translation is given as,
(x, y) ⇒ (x - 3, y +1)
To for the trapezoid A'B'C'D'.
Thus, the requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.
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Hello could I get help with this equation
11a+100=12
Step-by-step explanation:
-8
hope it helps:-) :-) :-) :-)
Answer:
a = -8
Step-by-step explanation: Subtract 100 on both sides to isolate the variable. From there you will have 11a = -88. If you divide on both sides to cancel them out you will get you answer for the variable -8.
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
Answer:
a₉₆ = - 1234Step-by-step explanation:
-12 - 1 = -13 and -25 - (-12) = -13 ⇒ d = -13
[tex]a_n=a_1+d(n-1)\\\\a_1=1\\d=-13\\n=96\\\\a_{96}=1+(-13)(96-1)\\\\a_{96}=1-13\cdot95\\\\a_{96}=1-1235\\\\a_{96}=-1234[/tex]
Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5
Answer:
It is the last answer
Step-by-step explanation:
Find the value of f(4) for the function.
f(x) = - 4(x + 3)
Answer:
-28
Step-by-step explanation:
f(4) is another notation for x = 4
so we just plug-in 4 for x
f(4) = -4((4)+3)
f(4) = -4(7)
f(4) = -28
The value of f(4) for the function is -28
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given a function as f(x) = - 4(x + 3)
f(4) is another notation for x = 4
Therefore we just plug-in 4 for x
f(x) = - 4(x + 3)
f(4) = -4((4)+3)
f(4) = -4(7)
f(4) = -28
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This is solving multiple step equations
Answer:
x=-11/3
Step-by-step explanation:
expand the brackets: 4x+12= 1
this is now a normal equation
solve the equation
-12 from both sides
4x=-11
divide by 4 both sides
x= -11/4
this is because 11 cannot be divided by 4 exactly so we put it in fraction form .
Solve the system by Substitution
4x+4y=−4
y=−7x−7
(-1, 0)
(0, 2)
(0, -4)
(0, -1)
Answer:
(-1,0)
Step-by-step explanation:
I used a graphing calculator and that is the solution
-2x - 6xy - 3y +7x.....need help bc tomorrow have a test.
Step-by-step explanation:
-2x - 6xy - 3y + 7x combine like terms
= (-2x + 7x) - 6xy - 3y
= 5x - 6xy - 3y
Hey there! We will Combine Like Terns for this one.
= −2x + −6xy + −3y + 7x
= (−6xy) + (−2x + 7x) + (−3y)
=−6xy + 5x + −3y
Write down the inequality described by "six more than the value of is at least nine"and solve for x
Answer:
[tex]x\geq 3[/tex]
Step-by-step explanation:
[tex]x+6\geq 9\\x+6-6\geq 9-6\\x\geq 3[/tex]
Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.
a. y = -3x + 2
b. y = - 1/3x + 2
c. y = 3x - 3
d. y = -1/3x - 2
Answer:
i think its A..............
Step-by-step explanation:
A
A parking lot contains 21 sedans. Sedans are found at a ratio of 7:5 to SUVs in the parking lot. How many SUVs are likely to be found in the parking lot?
Answer:
hey are both divisible by 3
7 x 3 = 21
5 x 3 = 15
they are both divisible by 3
Step-by-step explanation:
hope this helps!
Is 16/27 a perfect square
Answer:
No
Step-by-step explanation:
16 is a perfect square but 27 is a perfect cube
1/5 k = 20 solvve for k
Answer:
k=100
Step-by-step explanation:
20x5=100
Answer:
k=100
Step-by-step explanation:
Solve for k by simplifying both sides of the equation, then isolating the variable.
simplify by dividing [ -3/-8] divided by 5/9 (5 points)
A. -15/-72
B. 15/72
C. -27/-40
D. 27/40
Answer: D
Step-by-step explanation:
(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.
I think C was supposed to be -27/40 so D is the correct answer since it's positive.
**PLEASE ANSWER** 20 POINTS, Rebeka claimed the equation 3x + 4 = 10 has two solutions. Explain the error in Rebeka’s claim.
Answer:
x=2
Step-by-step explanation:
3x+4=10
subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
(If you know the answer but you can't answer it put the answer in the comments pls asap)
Answer:
I'm sorry for taking an answer but what's the question? If you tell me the question in the comments I'd be happy to answer : )
1 point
17. A triangle has vertices at A (-3,-1), B (-6, -5),
C(-1,-4).
Which transformations would produce an image with
vertices A' (3,-1), B' (6,-5), C' (1, -4)?
A. A reflection over the x - axis
B. A reflection over the y- axis
C. A rotation 90° clockwise
D. A rotation 90° counterclockwise
Ο Α
The rule for the transformations would produce an image will be;
''A reflection over the y- axis''
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4) transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1, -4)
Now,
We know that;
The rule for the transformation over y - axis will be;
⇒ (x, y) → (- x, y)
So, We get;
The rule for the transformations would produce an image is,
''A reflection over the y- axis''
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