The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.
What is the Standard Form of a Polynomial?The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.
Given the polynomial:
(8r² - 7r - 9) + (-r² + r)
Distribute to open the bracket
8r² - 7r - 9 - r² + r
Combine like terms
7r² - 6r - 9 (standard form)
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Can you please help me. The question is in the attachment. THIS IS WORTH 15 POINTS
Answer:
Length = 14 and width = 7 cm,
Step-by-step explanation:
Let the width be x cm then the length is 2x cm
2x + 2(2x) = 42
6x = 42
x = 7
Length = 14 and width = 7.
Help with this question please
Answer:
See below
Step-by-step explanation:
(a)
[tex]\angle A\cong \boxed{\angle Z}[/tex][tex]\angle B\cong \boxed{\angle Y}[/tex][tex]\angle C\cong \boxed{\angle X}[/tex](b)
[tex]\overline{AB}\cong \boxed{\overline{ZY}}[/tex][tex]\overline{AC}\cong \boxed{\overline{ZX}}[/tex][tex]\overline{BC}\cong \boxed{\overline{YX}}[/tex](c)
[tex]\triangle CAB \cong \triangle \boxed{XZY}[/tex]find the area use 22/7 for π
Answer:
~201
Step-by-step explanation:
Use the area formula: [tex]A=\pi r^2[/tex]
22/7 x 64 = 201.14
which rounds to 201
The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
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Which is greater: 10 centimeters or 103 millimeters? How much greater?
PLEASE HELP
Answer:
Step-by-step explanation:
103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more
Solve for r. -4 + 2r-5r = 17 = [?] r =
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
The diagram shows a cuboid 4cm 5cm 9cm what is the volume of the cuboid
Answer:
180cm cubed (the tiny three symbol)
Step-by-step explanation:
4 x 5 x 9
(4 x 5) x9
20 x 9
=180cm cubed
Helpppp pleaseeeee is
Answer:
Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)
a. (4/8 - 1/8)/(4/2 - 1/2)
3/8 / 3/2
3/8 x 2/3 = 2/8 = 1/4
y - 1/8 = 1/4(x - 1/2)
y - 1/8 = 1/4x - 1/8
y = 1/4x
b. (1400 - 1200)/(1000 - 500)
200/500 = 2/5
y - 1200 = 2/5(x - 500)
y - 1200 = 2/5x - 200
y = 2/5x + 1000
c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95
y - 13.95 = 13.95(x - 1)
y - 13.95 = 13.95x - 13.95
y = 13.95x
d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156
y = .16(x - 0)
y = .16x
or y = .156x
please help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
---------- HappY LearninG <3 ------
Answer:
the answer is 34
Step-by-step explanation:
see the image
Is this true or false
Answer:
False
Step-by-step explanation:
Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.
8 oz of cream cheese for $1.98 or 1 pound for 3.75?
There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75
Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:
Answer:
See below ~
Step-by-step explanation:
Part 1 - Acceleration when t = 3
Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²Part 2 - Deceleration when t = 12
Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²Part 3 - Total Distance Covered
Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m2. From t = 4 to t = 8
S = 22 x 4 = 88 m3. From t = 8 to t = 15
77m (found in Part 2)Total distance = 66 + 88 + 77 = 231 m
Part 4 - Average Speed
Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s2. Avg. Speed (t = 4 to t = 8)
88/4 = 22 m/s3. Avg. Speed (t = 8 to t = 15)
77/7 = 11 m/sAverage Speed = 16.5 + 22 + 11 / 3
49.5/316.5 m/squestion on absolute value
|x +1|+|x −2|=3
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the price of the computer. Together they had $696 more than they needed to pay. What was the price of the computer
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
PLEASE HELP! 20 POINTS!! PIC ATTACHED :)
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
The area of a rectangle is 6x^2+8x+2. The length of the rectangle is 3x+1. What is the width?
Answer:
A=L*W
Step-by-step explanation:
6x²+8x+2=LX(3x+1)
2x+2
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
What is the median of this data set?
{12, 8, 9, 12, 10, 13, 8}
The median of the data set is 10.
What is the median of the data set?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency.
Data set = 8, 8, 9, 10, 12, 12, 13
Median = 10
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the median of this dataset?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
❖ First, arrange the data in the data set from least to greatest:-
[tex]\textsc{12, 8, 9, 12, 10, 13, 8}\mapsto\textit{8, 8, 9, 10, 12, 12, 13}[/tex]
Now, the median is the number in the middle, or
[tex]\textit{10}[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
Answer:
Here is the ans...hope it helps
hello is anyone free to help me?
Probality is given by the ratio of the number of the one type of product to the total number of the product .
so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple
so green apple = 10- 7 = 3 apples
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
Please help with this! Thanks
a) The arrangement of 9 paintings can be done 9 ways.
b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
a) Here if she has 9 paintings so the number of the arrangements will be
[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]
b) The arrangement of the 4 out of 9 paintings will be
[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]
Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.
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-3(v+1)-3
What is the answer I really need help
Answer:
=-3v-6
Step-by-step explanation:
Distribute:
=(−3)(v)+(−3)(1)+−3
=−3v+(−3)+(−3)
Combine like terms:
=(−3v)+(−3+(−3))
=−3v+−6
=-3v-6
Hope this helps, this was easy!
y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16
22
5.5
17
34
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get started ~
According to question :
[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]
where, k = proportionality constantNow, we have been given that when y = 11, x = 8
Let's plug these values in equation to find value of k ~
[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]
[tex]\sf \dashrightarrow k = 11 \times 8[/tex]
[tex]\sf \dashrightarrow k =88[/tex]
we got the value of proportionality constant. now we have been asked to find the value of y when x = 16
So, let's use the equation ~
[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]
[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]
[tex]\sf \dashrightarrow y = 5.5[/tex]
I hope you understood the whole procedure ~
What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325
The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:
a. 0.2975.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, we have that the events are as follows:
Event A: Carbon emission beyond the permissible emission level.Event B: Test predicts this.We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:
[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]
[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]
Which means that option a is correct.
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If stu=(13x-6), msu=(21x+8) and mut=143 find mst
The value of arc ST in the circle with center at point V is 125 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
mSU = 2 * ∠STU (angle at center is twice angle at circumference)
21x + 8 = 2(13x - 6)
x = 4
mSU = 21(4) + 8 = 92°
mSU + mUT + mST = 360° (angle in a circle)
92 + 143 + mST = 360
mST = 125°
The value of arc ST in the circle with center at point V is 125 degrees.
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The coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l(6,5) and m(1,1).
enter a number in the box to complete the sentence.he perimeter of the quadrilateral is 90units. round your answer to the nearest tenth.
The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.
Given the coordinates of quadrilateral JKLM as:
J(-2,3)K(3,7)L(6,5)M(1,1)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .
JK = √[(3−(−2))² + (7−3)²]
JK = √41
JK ≈ 6.4 units
KL = √[(3−6)² + (7−5)²]
KL = √13
KL ≈ 3.6 units
LM = √(1−6)² +(1−5)²]
LM = √41
LM ≈ 6.4 units
JM = √(1−(−2))² + (1−3)²]
JM = √13
JM ≈ 3.6 units
Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.
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On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.