Answers
Area of a rectangle = Width * Length
In our problem,
width = 2n^3
length = 7n^2 + 3n
Area = 2n^3 (7n^2 + 3n)
Distribute the 2n^3
Area = 14n^5 + 6n^4
The required, area of the given rectangle is given as 14n⁵ + 6n⁴.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
What is the area of the rectangle?The area of a rectangle is the product of the length and width of the rectangle.
Here,
In the question, we are given,
length = 7n² + 3n
width = 2n³
Area of the rectangle = length × width
Area of the rectangle = 7n² + 3n × 2n³
Area of the rectangle = 14n⁵ + 6n⁴
The required, area of the given rectangle is given as 14n⁵ + 6n⁴.
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Related Questions
27^x = 9^(x − 4)
x = 8
x = 4
x = −4
x = −8
Answers
Step-by-step explanation:
27^x = 9^(x - 4)
3^3x = 3^2(x - 4)
3x = 2(x - 4)
3x = 2x - 8
3x - 2x = -8
x = -8
what is 149,597,870 in scientific notation
Answers
Answer:
1.4959787 × 10^8
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.
Follow the steps below to see how 149,597,870 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 149,597,870
New Number: 1.49597870
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 4 9 5 9 7 8 7 0
Decimal Count: 1 2 3 4 5 6 7 8
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10^b
a = 1.4959787 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
1.4959787 x 10^8
Step 4
Check your work:
10^8 = 100,000,000 x 1.4959787 = 149,597,870
Hope this helped.
What does this mean?
Answers
Answer:
f(x) = |x| represents the modulus function or absolute value function. It gives us the distance between any point and the origin. Since distance can never be negative so we always consider its positive value only. You can simply multiply the given value with ‘-1’(if the given value is negative).
Step-by-step explanation:
Which of these linear equations best describes the given model?
Choose 1 answer:
y = 0 + 0.25
Y =2+0.5
a) = 0,5 +0.25
û = 0.5x + 0.5
Answers
Define a variable and write an expression for the phrase.
a number divided by 82
Answers
A number divided by 82
Let that number be x, the alphabet x serves a variable in this case.
Therefore the expression would be = x /82
Margaret goes to the county fair with $35. Rides cost $3 each.
Which is the function that gives the amount of money m that Margaret has as a function of the number of rides r that she takes?
Answers
For every ride it’s $3 so 3 is the amount x would be the number of rides.
Evaluate 10 + 2(3 + 2) + 5 + (36÷ 6). 71 31 41 21
Answers
Answer:
31
Step-by-step explanation:
Aarón and Alice are bowling.Alice’s score is twice the difference of Aaron’s score and 5.The sum of their scores is 320. Find each students bowling score.
Answers
Given :
Alice’s score is twice the difference of Aaron’s score and 5.
The sum of their scores is 320.
To Find :
Each students bowling score.
Solution :
Let , score of Aaron is x .
So , score of Alice is 2(x-5) .
Also , Their sum of scores is equal to 320 .
[tex]x+2(x-5)=320\\\\3x-10=320\\\\x=11[/tex]
Therefore , score of Aaron and Alice 11 and 12 .
Hence , this is the required solution .
whats five and one fourth divided by one third with how u got it
Answers
Explanation:
Convert
5
1
4
5
4
1
to improper fraction. Use this rule:
a
b
c
=
a
c
+
b
c
a
c
b
=
c
ac+b
.
5
×
4
+
1
4
÷
1
3
4
5×4+1
÷
3
1
2 Simplify
5
×
4
5×4 to
2
0
20.
2
0
+
1
4
÷
1
3
4
20+1
÷
3
1
3 Simplify
2
0
+
1
20+1 to
2
1
21.
2
1
4
÷
1
3
4
21
÷
3
1
4 Use this rule:
a
÷
b
c
=
a
×
c
b
a÷
c
b
=a×
b
c
.
2
1
4
×
3
4
21
×3
5 Use this rule:
a
b
×
c
=
a
c
b
b
a
×c=
b
ac
.
2
1
×
3
4
4
21×3
6 Simplify
2
1
×
3
21×3 to
6
3
63.
6
3
4
4
63
7 Convert to mixed fraction.
1
5
3
4
15
4
3
Decimal Form: 15.75
Find the sum using the appropriate formula to the given term. 3 + 6 + 9 +... : S10
Answers
Answer:
[tex] S_{10} = 135[/tex]
Step-by-step explanation:
Given sequence is:
3 + 6 + 9 +...
Here,
a = 3, d = 6 - 3 = 3, n = 10
[tex]\because S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_{10} = \frac{10}{2} \{2 \times 3 + (10 - 1) \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 7 \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 21\} \\ \\\therefore \: S_{10} = 5 \times 27 \\ \\ \huge \orange{ \boxed{\therefore \: S_{10} = 135}} \\ \\[/tex]
El radio del círculo es 4 ,pulgadas cuál es el diámetro ?
Answers
El diámetro del círculo será de 8 pulgadas.
Given a point P(8,1) on segment AB with A(-2,3), find the coordinates of B if ap/ab=2/3. The answer should be entered in the form (x,y) without any spaces between characters
Answers
Answer:
The coordinates of point B are (23,-2)
Step-by-step explanation:
Mathematically, what this question is telling us is that the point P divides the segment AB in the ratio 2:3
We are now tasked with finding the coordinates of point B
For point P to have divided the segment in that particular ratio, then, internal division formula would have been used.
Mathematically, the internal division formula is given as;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)
In this particular question case;
(x,y) are coordinates of p = (8,1)
x = 8 , y = 1
m = 2 , n = 3
x1 = -2 , y1 = 3
x2 = x , y2 = y ( coordinates of point B)
So let’s make the substitution;
(8,1) = 2x + 3(-2)/2+3) , 2(y) + 3(3)/(2+3)
(8,1) = (2x-6)/5 , (2y + 9)/5
So therefore; let’s equate
(2x-6)/5 = 8
and 2y+ 9/5 = 1
2x-6/5 = 8
2x -6 = 8*5
2x -6 = 40
2x = 40 + 6
2x = 46
x = 46/2
x = 23
(2y + 9)/5 = 1
2y + 9 = 5 * 1
2y + 9 = 5
2y = 5-9
2y = -4
y = -4/2
y = -2
So the coordinates of point B are (23,-2)
Mariah owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather?
Answers
Answer:
75 cents
Step-by-step explanation:
50 plus 15=75
Answer:
0.75
Step-by-step explanation:
2.25-1.50
Solve for x in the equation x squared minus 4 x minus 9 = 29.
Answers
Answer:
Step-by-step explanation:
x^2 -4x - 9 = 29
x^2 - 4x = 37
x = 2 ±[tex]\sqrt{42}[/tex]
Answer:
x = 2 ± [tex]\sqrt{42}[/tex]
Step-by-step explanation:
x^2 -4x - 9 = 29
x^2 - 4x = 37
x = 2 ± [tex]\sqrt{42}[/tex]
standard form fifteen thousandths
Answers
Answer:
0.015
Step-by-step explanation:
Answer:
15,000
Step-by-step explanation:
A section of wall is being framed. A model of the framing work is shown below. Vertical and parallel lines c, d, and e are cut by diagonal transversal b. The uppercase right angle formed by the intersection of lines b and c is angle A. The uppercase left angle formed by the intersection of lines d and b is 125 degrees. Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
Answers
Answer:
a. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
They are the same side interior angles. Angle A measures 55°.
Are all interior angles 180?If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 180 degrees a straight line.
What are interior angles for example?Interior angles are those that lie inside a polygon. For example, a triangle has 3 interior angles. The other way to define interior angles is "angles enclosed in the interior region of two parallel lines when intersected by a transversal are known as interior angles".
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HELP ME PLS ITS BEEN 20 MINUTES
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
You can combine the two red shaded areas to get a larger portion with an angle of 120°.
The total degrees in a circle is 360° and since [tex]\frac{120}{360} =\frac{1}{3}[/tex],
The area of the combined red shaded area is [tex]\frac{1}{3}[/tex] of the entire area of the circle.
Thus, the probability of choosing the red shaded area is [tex]\frac{1}{3}[/tex]
ctions: Choose the correct answer for each problem below.
1. Divide: 71.5+ 11
a. 65
b. 6.5
C. 0.65
d. 650
2. Divide: 495.06 +0.6
a. 825.1
b. 8,251
C. 82.51
d. 8.251
Answers
What is the perimeter?
Answers
Answer:
D.) 10x + 2y
Step-by-step explanation:
x + 4x + 4x + x = 10x
y + y = 2y
10x + 2y
Hopefully this helps you :)
pls give me brainlest ;)
HELP PLEASE!!!!
Write the first five terms of two different sequences that have 10 as the second term Describe the pattern (in words) in each of your sequences
Answers
Answer:
eh..you probaly shouldnt trust me
Step-by-step explanation:
8, and (8+2) = 10 Therefore the second term is 10. Another arithmetic sequence of common difference-5 and first term 15. The firs two terms of this sequence are: 15, and (15 - 5) = 10. Therefore again a 10 as second term.
Write the sentence as an equation.
Answers
Answer:
141 = 212/u
Step-by-step explanation:
Solve for j 6j+16=4j-10
Answers
[tex]\text {Hello! The answer to your problem is j=-13}[/tex]
[tex]\text {Subtract 4j:}\\\text {6j+16-4j=4j-10-4j}\\\text {2j+16=-10}[/tex]
[tex]\text {Subtract 16:}\\\text {2j+16-16=-10-16}\\\text {2j=-26}[/tex]
[tex]\text {DIVIDE both sides by 2:}\\\text {2j/2=-26/2}\\\text {x=-13}[/tex]
[tex]\text {Hope this helps!}\\\\\text {-LimitedX}[/tex]
Ian is a waiter. He waits on a table of 4 whose bill comes to $110. If Ian receives a 15% tip, how much will he receive?
Answers
Answer:
16.50
Step-by-step explanation:
First do 15% of 100$ then 15% of 10% and add the two values together.
What is the factored form of the expression 144x2 - 49?
A. (12x - 7) (12x + 7)
B. (12x - 7) (12x - 7)
C. (144x + 1)(x - 49)
D. (144x - 1) (x + 49)
Answers
Answer:
A
Step-by-step explanation:
Difference of squares: (a^2 - b^2) = (a - b)(a + b)
(144x^2 - 49) = (12x - 7) (12x + 7)
Answer:
A. (12x - 7) (12x + 7)
Step-by-step explanation:
144x^2 - 49
Rewriting
(12x)^2 - 7^2
Recognizing this is the difference of squares
a^2 - b^2 = ( a-b) (a+b)
( 12x-7) (12x+7)
Please helpppppppp:)))))))
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Since AB bisects AC, AB = BC.
[tex]x+12=6x-23[/tex]
Subtract 12 from both sides:
[tex]x+12-12=6x-23-12[/tex]
[tex]x=6x-35[/tex]
Subtract 6x from both sides:
[tex]x-6x=6x-35-6x[/tex]
[tex]-5x=-35[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-35}{-5}[/tex]
[tex]x=7[/tex]
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch
periods
Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor?
Answers
Answer:
0.2
Step-by-step explanation:
Missing table in the question
Orange - 51 Grape - 30Cherry - 69SolutionTotal number of juice bought:
51 + 30 + 69 = 150Probability of a student choosing grape flavor:
Probability = favorable outcomes / total outcomesP(grape) = 30/150 = 1/5 = 0.2Answer is 0.2
Probability that a student who bought juice chosen at random purchased the grape flavor is 0.2.
According to the question, there are three lunch periods and the number of students that take different flavors of juice is shown below;
Orange - 51Grape - 30Cherry - 69Since probability = Expected outcome/sample space
Sample space = 51 + 30 + 69 = 150
Probability that a student who bought juice chosen at random purchased the grape flavor = 30/150 = 0.2
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Missing parts;
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch periods. Orange Grape Cherry 51 30 69 Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor? O A. 0.2 O B. 0.25 O C. 0.3 D. 0.33
i need HELPP ,, solve for x ,, idkk what it is !!
Answers
Answer:
x = 20
Step-by-step explanation:
[tex]3x + 6x = 180\\9x = 180\\x = 20[/tex]
which two integers have a sum of - 15
Answers
Answer:
-13 and -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
the product as 26 and the sum of the two numbers as 15, one can say that the two numbers are 13 and 2.
f(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))
A. -5x-1
B. 5x +1
C. -7x +1
Answers
Answer:
C
Step-by-step explanation:
f(x) - g(x)
= - x + 4 - (6x + 3)
= - x + 4 - 6x - 3 ← collect like terms
= - 7x + 1 → C
The following is a composite figure. Find the TOTAL AREA of
the figure.
16 in
8 in
16 in
8 in
inches
Answers
for area , you multiply length times height so it’d be 16 x 8 :)
