write a polynomial that represents the length of the rectangle
help please !!
Answers
Answer:
[tex]\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units[/tex]
Step-by-step explanation:
Area of a rectangle = width × length
Therefore, to find the length of the rectangle, we need to divide the area by the width.
Using long division:
[tex]\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}[/tex]
Therefore, the length of the rectangle is:
[tex]0.8x^2-0.7x+0.7[/tex]
Related Questions
1. Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2). Graph BGTS and its image after a translation along (5,0) and a reflection in the x-axis.
Answers
The image is attached with answer
What is a Quadrilateral ?
A quadrilateral is a polygon with four sides , four angles and four vertices.
It is given in the question that
Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).
A graph has to be drawn of
its image after a translation along (5,0) and a reflection in the x-axis.
The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).
The image is attached with the answer .
To know more about Quadrilateral
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Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1.
|2b−3y||+5z
Answers
Answer:
-23
Step-by-step explanation:
simplify the expression
Answers
Answer:
[tex]\sf 10x-2[/tex]Step-by-step explanation:
[tex]\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-2\cfrac{1}{2}\right)[/tex]
We'll need to convert the mixed number 2 1/2 to improper fraction.
[tex]\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-\cfrac{5}{2}\right)[/tex]
Simplify...
[tex]\sf 2x+\cfrac{1}{2}+8x-\cfrac{5}{2}[/tex]
Add similar elements.
[tex]\sf 10x+\cfrac{1}{2}-\cfrac{5}{2}[/tex]
[tex]\sf 10x+\cfrac{-4}{2}[/tex]
Divide numbers..
[tex]\sf 10x-2[/tex]
_______________________
2r + 3s = 14
2( )+ 3s = 14
+3s = 14
3s=
S =
Answers
Answer:
4
Step-by-step explanation:
3s=14-2
3s=12
3s/3=12/3
s=4
This table shows the number of bottled soft drinks sold in a corner store each day during the past week.
For which situation is the mean the best measure of central tendency to use?
A. If the owner wants to know the average number of bottled soft drinks sold per day.
B. If the owner wants to know which day saw the greatest number of sales.
C. If the owner wants to plan on having as many bottled soft drinks in stock to get through the weekend.
D. If the owner wants to know the number of bottled soft drink sales for which the number of sales below it and above it were equal.
Answers
Answer:
A
Step-by-step explanation:
Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome
Select the correct answer.
What is the solution for x in the equation?
Answers
Answer:
Where is the equation?
Step-by-step explanation:
And where are the options to select?
The base of a hexagonal prism has an area of 54 square feet. the height of the prism is 4 feet. find the volume of the prism.
v =ft
Answers
Step-by-step explanation:
v=fgtd (9809)=09843 ans that give 100
Write the equation of the line in fully simplified slope-intercept form.
Answers
Please help me guys, I need some answers
Answers
A one is 12
B is 25
just multiply by 6
Step-by-step explanation:
Answer:
a) 24cm²
b)150cm²
c)600m²
d)864mm²
e)294m²
f)486cm²
g)384mm²
h)1014cm²
Step-by-step explanation:
Find the area of the face, it's a cube so just multiply it by the length you have
2x2=4
It has 6 faces so multiply this by 6
6x4=24
John is ordering a pizza. He wants to choose what he gets randomly. He can get either regular crust or thin crust. Then he can choose either white or red sauce. Last, he chooses either pepperoni, sausage, or ham as his topping. Create a tree diagram below
Answers
When solving a problem, a tree diagram depicts the order in which events must be completed.
What is the relevance of a tree diagram?Tree diagrams are very effective in probability because they clearly and simply record all likely scenarios.
The attached Tree Diagram has been used to depict the problem that John is trying to solve.
Learn more about Tree diagrams at:
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Find the values of a and b if,
ab=12 and a+b=7
Answers
Answer:
Given
Ab = 12
A+b = 7
As a + b = 7,
A and b must be less than 7
A =6
B =2
Ab = 12
6 x 2 = 12
6, 2 < 7
Step-by-step explanation:
Hope this helps
4x3=12
4+3=7
a<7
14
Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
-n + 7 = 2
Answers
-n=2-7
-n=5
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The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
O 3x
O 3x²
O 3x³
O4x
Answers
Answer:
3x^2
Step-by-step explanation:
Area = (length) x (width)
Area = (1x)*(3x)
Area = 3x^2
4 x 12 = 6 x n 4
6
8
12
Answers
Answer:
2
Step-by-step explanation:
4 x 12 = 6 x 4 x n
Which gives
48 = 24n
48/ 24 = n
so n = 2
a discount of $8.40 on something that usaully costs $28.00.What percent discount was received
Answers
Answer: 30%
Step-by-step explanation:
percentage = (discount/total amount)
* 100= (8.40/28)*100=30%
(8x^9y^54)^1/3
Simplify the equation
Answers
Answer:
2x^3 y^18
Step-by-step explanation:
The power of a power (properties of exponents) was used in this problem. Hope this helps! :)
Answer:
[tex]2x^3 y^{18}[/tex]
Step-by-step explanation:
[tex]~~~\left( 8 x^9 y^{54} \right)^{\tfrac 13}\\\\=\left(2^3 x^9 y^{54} \right)^{\tfrac 13} \\\\=\left( 2^3 \right)^{\tfrac 13}\left( x^9 \right)^{\tfrac 13}\left( y^{54} \right)^{\tfrac 13}\\\\=2^{\tfrac 33} \cdot x^{\tfrac 93} \cdot y^{\tfrac{54}3}\\\\=2x^3 y^{18}[/tex]
Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Find the conditional probability of B given that A occurs first.
Enter your answer as a simplified fraction.
Answers
Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
When two dice are rolled, we have these 36 outcomes:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:
[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
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An outlier is a data value that is numerically distant from most of the other data _______ in a dataset.
Answers
a) If any values in the data set are greater than the upper boundary, then those values are the upper outliers.
b) If any values in the data set are less than the lower boundary, then those values are lower outliers.
The complete question is attached with an answer.
What are Outliers?If a number in distribution is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution, then that number is said to be an outlier.
The lower quartile is and the upper quartile of distribution is
Then lower boundary is given by [tex]=Q_1-1.5\times IQR[/tex]
The Upper boundary is given by [tex]=Q_3+1.5\times IQR[/tex]
If any number or value of the distribution is greater than [tex]=Q_3+1.5\times IQR[/tex] then that is called Upper Outlier.
Similarly, if any value or number of the distribution is less than [tex]=Q_1-1.5\times IQR[/tex] then that is called Lower Outlier.
Learn more about Outliers here -
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(A) Find the slope of the line that passes through the given points.
(B) Find the standard form of the equation of the line.
(C) Find the slope-intercept form of the equation of the line.
(-3,4) and (6,4)
(A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The slope is m =
(Type an integer or a simplified fraction.)
B. The slope is not defined.
Answers
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{6 +3}\implies 0[/tex]
hmmm a line with a slope of 0 is a horizontal one, and it has no slope-intercept form.
Check the picture below.
The distance from one high point of a wave to the next wave’s high point is called _____. a. wavelength c. time b. frequency d. distance
Answers
Answer:
Wavelength
Step-by-step explanation:
That distance is the wave length.
Answer: a. wavelength
An experiment consists of spinning the spinner shown. All outcomes are equally likely. Find P(>6). Express your answer as a fraction in simplest form. spinner of 8 numbers
Answers
Answer:
[tex]\boxed{\huge{\sf \dfrac{1}{4} }}[/tex]
Explanation:
Given Total Numbers: 8 numbers
Must be greater than 6, The numbers are 7 and 8 = 2 numbers
Probability:
→ favorable outcomes/total possible outcomes
→ 2/8
→ 1/4
→ 0.25
Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Alang, sold 4% of the cards sold for Mother's Day. How many cards did Alang sell?
Answers
Answer:
10 cards
Step-by-step explanation:
4% of 250 cards
(4/100) x 250 cards
10 cards ✔️
The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.
Answers
Answer:
168cmsqured
Step-by-step explanation:
as for me,15 acts as the lower part of the trapezium while 13 acts as the upper part of the trapezium .so since I know the measurements of the both sides I can easily calculate the area use using the formula indicated in the image.hope it helps
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answers
Answer:
A
Step-by-step explanation:
Answer:
[tex]2x^6y^2[/tex]
Step-by-step explanation:
Step 1: simplify integers in expression
[tex]\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}[/tex]
Step 2: simplify x terms
[tex]\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}[/tex]
Step 3: simplify y terms
[tex]\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2[/tex]
como simplificar 20/36
Answers
Answer:
5/9
Step-by-step explanation:
20÷36
20/36
divide using 2
10/18
divide using 2
5/9
HURRY HELP PLEASE THIS IS AN EMERGENCY
Answers
Answer:
18
Step-by-step explanation:
Well there is 6 there.... ad six and six more (2 layers more) for a total of 18
How many more cubic inches are in the volume of a cylinder with a diameter of 12 inches and a height of 13 inches than in the volume of a cylinder with a diameter of 10 inches and a height of 11 inches?
Answers
Answer:
Approx. 606.02 cubic inches more.
Step-by-step explanation:
[tex]Volume=\pi *(\frac{diameter}{2})^2*height[/tex]
First, let's find the volume of the first cylinder (diameter=12, height=13).
[tex]V=\pi * (\frac{12}{2})^2 * 13\\V=\pi * (6)^2 * 13\\V=\pi * 36 * 13\\V=3.14*36*13\\V=113.04*13\\V=1469.52 in^3[/tex]
Now let's find the volume of the second cylinder (d=10, h=11).
[tex]V_{2}=\pi * (\frac{10}{2})^2*11\\V_{2}=\pi * (5)^2*11\\V_{2}=\pi * 25 * 11\\V_{2}=3.14*25*11\\V_{2}=78.5*11\\V_{2}=863.5in^3[/tex]
Lastly, we can subtract the volume of the second cylinder from the volume of the first cylinder.
This gets us a solution of 606.02 cubic inches.
Which situation is not an example of a digital transaction?
OA. Juliana uses Bitcoin to buy computer software.
B. Jamelle tips a driver by using a rideshare app.
OC. Elsa mails a check to her utility company.
D. Mark scans the QR code on a menu to pay for lunch.
SUBMIT
Answers
Answer:
C
Step-by-step explanation:
mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.
that act itself is not electronic.
at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.
Answer:
C
Step-by-step explanation:
It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.
Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After two weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24? (2 points)
$15.96 per week
$17.41 per week
$17.91 per week
$19.88 per week
Answers
What is the correct expanded from and value of 4^3
Answers
Answer:
4^3 = 4x4x4
Step-by-step explanation:
its just a shortened version of 4x4 3 times