Answer:
The two polynomials are:
(x + 1) and (x² + x)
Step-by-step explanation:
A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.
Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.
Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.
So,
Let's multiply both numerator and denominator by (x + 1) to get;
(x + 1)/(x(x + 1))
This gives; (x + 1)/(x² + x)
Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]
Therefore, the vertical distance through which the car rises is 16.7 m
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Simplify this please
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation:
if the area of square is 2401 sqaure metre,find the perimeter of the sqaure
Answer
P=196
P=4A=4·2401=196
Answer:
196m
Step-by-step explanation:
[tex] \sqrt{2401} = 49[/tex]
[tex]49 + 49 + 49 + 49 = 196[/tex]
The graph below shows the solution to which system of inequalities ?
Answer:
A
Step-by-step explanation:
A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.
To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.
Henry gathered data about the types of nuts in five handfuls of mixed nuts. The data he gathered is shown in the table. Select the points that represent this data.
Answer:
Look below.
Step-by-step explanation:
The location of the coordinate plane will be shown in the graph.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
Henry gathered data about the types of nuts in five handfuls of mixed nuts.
The data he gathered is shown in the table.
Handful Number of peanuts Number of other nuts
A 9 7
B 6 5
C 8 9
D 5 7
E 7 4
The graph is shown below.
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TIME REMAINING
55:50
In May, there were 14 days where the temperature was above 60°F and 17 days when it was below 60°F There were
also 19 days that were sunny. If a two-way table is made to represent the data, which could be the row and column
headings?
O column: sunny, below 60°F, row. not sunny, above 60°F
O column: above 60°F, below 60°F, row: sunny, not sunny
O column: above 60°F, sunny, row: below 60°F, not sunny
O column: sunny, month; row: not sunny, month
Mark this and return
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Submit
A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.
The correct row and column headings for the given dataset are:
Column: above 60°F, below 60°F, Row: sunny, not sunny
Given that:
[tex]Above\ 60^oF=14[/tex]
[tex]Below\ 60^oF=17[/tex]
[tex]Sunny = 19[/tex]
The two-way table would have the following representations;
Above [tex]60^oF[/tex] and Below [tex]60^oF[/tex] as the column entriesSunny and not sunny as the row entriesThe following representations are also possible
Above [tex]60^oF[/tex] and Below [tex]60^oF[/tex] as the row entriesSunny and not sunny as the column entriesBase on the above representations, we can conclude that options (b) is true
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PLEASE SHOW WORK - HELP FAST
100 POINTS
Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?
Answer:
SSS
∆PQR = 43
Step-by-step explanation:
The postulate to solve ∆PQR ≅ ∆STU is SSS. Both of the triangles have all three sides given, which means it can be solved for congruence.
9 + 6y + 5 + 14 = 9 + 8y +14
28 + 6y = 9 + 8y + 14
28 + 6y = 8y + 23
-6y -6y
--------------------------
28 = 2y + 23
-23 -23
---------------------
5 = 2y
---- ----
2 2
2.5 = y
9 + 14 + 6(2.5) + 5
23 + 15 + 5
23 + 20
43
∆PQR = 43
Answer:
Solution given:
In ∆ PQR and ∆ STQ
PQ=ST=9ft given
<Q=<T given
QR=TU = 14ft [given]
S.A.S axiom therom is used to prove
∆PQR ≅ ∆STU
Since ∆PQR ≅ ∆STU
their corresponding side is equal.so
6y+5=8y
5=8y-6y
2y=5
y=5/2
now
perimeter of ∆ PQR=sum of all sides
=9ft +14ft+ 6*5/2+5=43ft
The sales tax for an item was $15.60 and it cost $390 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
15.60 times 100 divided by 390=4%
Step-by-step explanation:
The required sales tax rate percentage is 4%.
The sales tax for an item was $15.60 and it cost $390 before tax. To find the sales tax rate. Write your answer as a percentage.
the percentage is defined as, the composition of something out of whole inbounds of 100.example 10% of 150 = 10 * 150/100
= 15
It shows that 10 percent of 150 is 15.
sales tax = $15.60
cost = $390
To get the sales tax percentage we have to find out the tax composition of tax to the cost. So,
Sale tax percent = sale tax/cost * 100
= 15.60/390 * 100
= 0.04 * 100
= 4 %
Thus, the required sales tax rate percentage is 4%.
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What makes the value of x makes the equation true?
[tex]7x = 80 + 9x[/tex]
Answer:
[tex]x=-40[/tex]
Step-by-step explanation:
You need to find the value of x. To do this, you need to isolate the variable:
[tex]7x=80+9x[/tex]
Move the 80 to the left side of the equation using the reverse operation of '+', which is subtraction:
[tex]7x-80=80-80+9x\\\\7x-80=9x[/tex]
Now move the coefficient, 7x, to the right side of the equation using the reverse operation of addition (because it's a positive number), which is subtraction:
[tex]7x-7x-80=9x-7x\\\\-80=2x[/tex]
Now isolate the variable using reverse operations. The coefficient can also be seen as [tex]2*x[/tex] , so the opposite of multiplication is division. Divide by 2, remembering to do the same on both sides of the equation to keep it stable:
[tex]-\frac{80}{2}=\frac{2x}{2}\\\\ -40=x[/tex]
The value of x is -40.
:Done
Two consecutive integers have a sum of 107. Find the integers.
Answer: 53 and 54
Explanation
Let the consecutive numbers be x and x + 1
ATQ
x + x + 1 = 107
2x = 107 - 1
x = 106/2
x = 53
Therefore the numbers are 53 and 54
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Answer:
x = 53, x + 1 = 54
Step-by-step explanation:
Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):
Regular consecutive numbers: 1, 2, 3
Even consecutive numbers: 2, 4, 6
Since in this problem the numbers are not given you will use variables.
x + x + 1 = 107
Solve:
x + x + 1 = 107
2x + 1 = 107
-1 -1
----------------
2x = 106
--- -----
2 2
x = 53
x + 1
53 + 1 = 54
Hope this helped.
please help me with question2 someone, thanks
Answer:
Step-by-step explanation:
[tex]\frac{3x-y}{4x+5y}=\frac{3}{5}\\\\[/tex]
Cross multiply
5*(3x-y) = 3*(4x + 5y)
5*3x -5*y = 3*4x + 3*5y
15x - 5y = 12x + 15y
15x - 12x = 15y + 5y
3x = 20y
3x = 4y * 5
[tex]\frac{3x}{4y} = 5[/tex]
On Thursday, 40 trains left the station. Eight left late. On Saturday 50 trains left the station. Nine left late. What percentage of trains were not late on each day?
Answer:
Thursday=80%
Saturday=82 %
Step-by-step explanation:
Thursday trains not late=40-8=32
% trains not late=32/40×100=80
Saturday trains not late=50-9=41
% trains not late on Saturday=41/50×100=82
Thomas is making fruit punch for a party. The recipe calls for 5/8 gallon of orange juice to make a full pitcher of punch.
How many full pitchers of punch can Thomas make with 2 gallons of orange juice
Answer:
3 remainder 1
Step-by-step explanation:
We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder
Round 5,693.251 to
thousands
and
tenths
Answer:
5693.251 = 5693.251, rounded to thousands (no change)5693.251 = 5693.3 rounded to tenths (rounded up as hundredths digit is 5)Step-by-step explanation:
Nearest thousandth = 5693.251
Nearest tenths = 5693.3
55.5% repeating as a decimal
Answer:
0.555
Step-by-step explanation:
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
The solution is, as a decimal of 55.5% is, 0.555
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
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the adjoining circle with O has a radius of 14cm ABCD is a square drawn inside the circle calculate the area of the shaded region plzz any help plzz
Answer:
bro just make me the branilist
Find the rectangular coordinates of the point with the polar coordinates. ordered pair negative 7 comma 2 pi divided by 3
Answer:
The rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3)
Step-by-step explanation:
The given polar coordinates is (7, 2·π/3)
Where, the 7 represent the distance, r, from the point of reference and 2·π/3, the angle, θ, from the reference point.
Polar coordinates are represented in rectangular form by the equivalence transformation equation given as follows;
The x-coordinate = Radius, r × cos(θ), which gives
We note that 2·π/3 radians = 2 × 180/3 = 120°
x = 7 × cos(2·π/3) = 7 × cos(120°) = 7 × (-0.5) = -3.5
x = -3.5
The y-coordinate = Radius, r × sin(θ), which gives
x = 7 × sin(2·π/3) = 7 × sin(120°) = 7 × (√3)/2 = 3.5·√3
y = 3.5·√3
Therefore, the rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3).
Can you find the area of the figure?
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
Line AB is the diameter of circle T. Point A is located at (-4, 2) and point B is located at (2, -8). What are the coordinates of the center of this circle?
A. (-3, -5)
B. (-2, -4)
C. (-1, -3)
D. (-4, -2)
Answer:
(-4, 2) y(2, -8)
{-4 y(2, -8), 2 y(2, -8)}
-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)
-y(2, -8)
2 sqrt(5) abs(y(2, -8))
Step-by-step explanation:
D
Answer:
C
Step-by-step explanation:
The center will be the midpoint of the line connecting A and B.
x=(-4+2)/2=-2/2=-1
y=(2-8)/2=-6/2=-3
On a 100 cm measuring stick, marks are made at 19, N, and 99 cm, from left to right. The distance between the marks at N and 99 cm is three times the distance between the marks at N and 19 cm. What number is N?
HELP IM STUCK
Answer:
N is 39
Step-by-step explanation:
The distance between 99 and 19 is:
99 - 19 = 80
So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99
So 80/4 = 20
19 + 20 = 39
N is 39
simplify [tex]x^{2} +10x+9[/tex]
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]
I’ll give brainlist to whoever is right!!!
Answer: Choice C
(-19/2, -33/2)
=========================================================
Explanation:
We'll plug the second equation into the first one
In other words, we'll replace every copy of y with 3x+12 and solve for x
This is an example of the substitution rule.
x-y = 7
x-( y ) = 7
x - (3x+12) = 7
x - 3x - 12 = 7
-2x - 12 = 7
-2x = 7+12
-2x = 19
x = -19/2
Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.
-----------------------------------
If you want to find y based on this x value, then,
y = 3x+12
y = 3(-19/2)+12
y = -57/2 + 12
y = -57/2 + 24/2
y = (-57+24)/2
y = -33/2
This fully confirms choice C is correct.
So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)
In decimal form, this would be (-9.5, -16.5)
Answer:
3. (-19/3, -33/2)
You have to make a equation system :
[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]
Replacing x=-19/2 in the first equation (it's the easiest to solve) :
[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]
*LAST QUESTION, HURRY AND PLEASE ANSWER, WILL CHOOSE BRAINLIEST FOR DETAILS AND ANSWER* How many times larger is the rectangular prism than the cube?
Answer:
The rectangular prism is 30 times larger than the cube.
Step-by-step explanation:
The Cube has a length of 2, a width of 2, and a height of 2.
Volume = length times width times height or V=lwh
2 x 2 x 2= 8
The Rectangular prism has a length of 10, a width of 6, and a height of 4.
10 x 6 x 4= 240
240 divided by eight is 30.
Answer:
30 times larger than the cube.
Step-by-step explanation:
All of the following statements are true, except for which?
A. LIZM
B. FG = JK
C. ZJE ZF
D. LMHG
except for letter a. LIZM
Helen has an old laser printer that can print 900 pages in 1.5 hours. If the speed of printing remains constant, how
long will it take her to print a book of 600 pages? Express your answer in hours.
Answer:
1 hour
Step-by-step explanation:
No. of pages print in 1.5 hours = 900
dividing LHS and RHS by 1.5 so that we get 1 hour in LHS
no. of page print in 1.5/1.5 (1) hours = 900/1.5 = 600.
Thus, it takes 1 hour to print 600 pages.
Given that we have to find how
long will it take her to print a book of 600 pages.
Answer is 1 hour.
if S( 1, 2, 3, 4, 5,6 ) find the probability that a number chosen is more than 4
[tex]|\Omega|=6\\|A|=2\\\\P(A)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
The list of sample space's elements: {1, 2, 3, 4, 5, 6}
The number of elements in sample space: 6
The list of elements belonged to the event "choosing the number larger than 4": {5, 6}
The number of elements in the event: 2
Hence, the probability of event "choosing a number larger than 4":
P = number of event's elements/number of sample space's elements
= 2/6
= 1/3
Kim is y years old. Jasper is twice as old as Kim, or 2y years old. Lorenzo is 2 years older than Jasper, or (2y + 2) years old. Finally, Vinnie is 9 years old. The sum of their ages is y + 2y + (2y + 2) + 9. What is an equivalent way to write this expression?
Answer:
5y+11
Step-by-step explanation:
y+2y+2y+2+9
5y+11
Chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. a. About how much medicine did he make in grams? Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.
Answer:
30.0g
Step-by-step explanation:
In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:
Like
10.357, 57 > 50, rounded to 10.4
12.062, 62 > 50, rounded to 12.1
7.506, 06 < 50, rounded to 7.5
Now
The Sum is
= 10.4g + 12.1g + 7.5g
= 30.0g
Hence, 30.0g medicine required to make in grams
Geometry, please answer question ASAP
Answer:
C.
Step-by-step explanation:
A concave polygon must have atleast an internal angle which is greater than other angles.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
1.2 Exit Ticket
POSSIBLE POINTS: 0.5
Below are the total number of students for each teacher in the Arts department. Round to the nearest tens place in order to estimate the total amount of
students enrolled in an art course,
132, 145, 97, 112, 128, 82
1
2
RE
Answer:
174
Step-by-step explanation:
Given
132, 145, 97, 112, 128, 82
Required
Estimate amount of students in an art class
This is calculated by obtaining the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
Where n is the number of observations
So; n = 6
[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]
[tex]Mean = \frac{696}{6}[/tex]
[tex]Mean = 174.0[/tex]
Hence, the estimated number of students is 174