The quotient of the polynomial exists 5x+6 + (4 / x+6).
What is meant by quotient and remainder?The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).
Given: (5x²+36x+40)/(x+6)
(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)
Dividing the above equation
(6x+40) / (x+6) = 6+(4 / x+6)
Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)
The quotient of the polynomial exists 5x+6 + (4 / x+6).
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Find the mean for the given set of data.
-4,-3,-1,-1, 0, 1
-1 1/3
-1
-3/4
The mean for the given set of data exists at -1 1/3.
What is mean?Mean exists an arithmetic average of the data set and it can be estimated by dividing a totality of all the data points by the digit of data points in the data set. It exists a point in a data set that exists as the average of all the data points we keep in a set.
Mean = (Sum of terms) / (Number of elements)
To find the mean, we must add all of the numbers and then divide them by the number of values you were given.
-4 + -3 + -1 + -1 + 0 + 1 = -8
There exist a total 6 number of elements in the set of data.
Mean = (Sum of terms) / (Number of elements)
Mean = (-4 + -3 + -1 + -1 + 0 + 1) / 6
-4 + -3 + -1 + -1 + 0 + 1 = -8
Mean = -8 / 6
= -4/3 = -1 1/3
The mean for the given set of data exists at -1 1/3.
Therefore, the correct answer is option a) -1 1/3.
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Select the correct answer
The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is xfeet, which equation models
this situation?
A 6x²+x-12=0
B. 6x²+x -13=0
C 6x²+x-26=0
D. 36x² +6x-26= 0
Answer:
Step-by-step explanation:
The area for a triangle is
[tex]A=\frac{1}{2}bh[/tex]
Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:
[tex]13=\frac{1}{2} (6x+1)(x)[/tex]
We can get rid of the denominator of 2 by multiplying it on both sides to get:
[tex]26=(6x+1)(x)[/tex] and simplifying a bit:
[tex]26=6x^2+x[/tex]
Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:
[tex]6x^2+x-26=0[/tex] which is choice C
please help me, i want now
The value of angle C in the triangle is 50°.
How to calculate the triangle?From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.
It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:
= 180° - (60° + 70°)
= 180° - 130°
= 50°
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What is the value of tan D₂ 12 5 O O O O | | 13 5 12
Answer:
12/5
Step-by-step explanation:
to find tan D you need the opposite and the adjacent sides.
12 is opposite D and 5 is adjacent to D
so using the equation tan=Opposite/adjacent
tanD=12/5
Can someone help me please
Answer:
y = x + 2
Step-by-step explanation:
You can find the slant asymptote using polynomial long division because the numerator is one degree higher than the denominator.
(x^2+x+4)/(x-1)
I'm not sure how to show long division but you should get:
x+2 with remainder 6
Then your slant asymptote is y = x + 2
You can graph it on Desmos to verify
Will give you brilliantest
WILL MAKE BRAINLIEST!! Solve for x.
[tex]3x + 2 = 47 \\ 3x = 47 - 2 \\ 3x = 45 \\ x = \frac{45}{3} = 15[/tex]
HELP HURRY pls
Draw the image of AABC under a dilation whose center is P and scale
factor is 3
Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.
How to generated a resulting triangle by transformation rules
In this question we must apply a kind of rigid transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Point of referencek - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting pointLet assume that the point P is the origin of a rectangular system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).
Then, the vertices of the resulting triangle A'B'C' are, respectively:
A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]
A'(x, y) = (- 3, 6)
B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]
B'(x, y) = (- 3, - 3)
C'(x, y) = (0, 0) + 3 · [(2, 0) - (0, 0)]
C'(x, y) = (6, 0)
Finally, we draw the resulting triangle with the help of a graphing tool.
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For the pair of points, find the slope of the line that passes through both points. (1,1) and (5,7)
Answer: 3/2
Step-by-step explanation:
[tex]\frac{7-1}{5-1}=\frac{6}{4}=\frac{3}{2}[/tex]
increase $32 in the ratio 2:5
decrease 54 litter in the ratio 5:1
Answer:
Step-by-step explanation:
32 = 2 : 5
32/7 = 4
2 x 4 : 4 x 5
8 : 20
Rotate the rectangle 90° clockwise about the origin.
The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
How to carry out rotational transformation?We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
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Sauna spent 4/5 of her allowance on food and shopping what fraction of her allowance had she left
Answer: 1/5
Step-by-step explanation: You just subtract 4/5 from 1, or 5/5. And BOOM! you get 1/5.
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10{,}00010,00010, comma, 000 cm^3
3
cubed. The base of the box is 252525 cm by 101010 cm.
The height of the rectangular cereal box is 40 cm.
How to find height of a rectangular prism?Volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
10000 = 25 × 10 × h
10000 = 250h
h = 10000 / 250
h = 40 cm
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If you rolled two dice, what is the probability
that you would roll a sum of 9?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
second
first
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3
5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
The probability you will roll a sum of 9 is 1/4.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is one and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability you will roll a sum of 9 = total times a sum of 9 is derived / total sample spaces
total times a sum of 9 is derived = (3 + 6) , (6 + 3) , (4 + 5) , (5 + 4) Total sample spaces = 36The probability you will roll a sum of 9 = 4/36 = 1/9
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Here is Dan's recipe for breakfast.200ml of milk,50g of oats,30g of barley,40g of raisins.If he uses 100g of oats,how many grans of barley does he need
Answer:60g
Step-by-step explanation:
Hope this the answer
A survey of 400 nurses yielded the following information: 279 were health club members, 215 were smokers, and 160 of the health club members were smokers. how many of the 400 surveyed nurses were health club members or were smokers?
Health club members or were smokers is [tex]334[/tex] from a A survey of [tex]400[/tex] nurses yielded.
How can we find the health club members or were smokers ?
Events of health club members is [tex]P(M)=279[/tex]
Events of smokers is [tex]P(S)=215[/tex]
Probability of health club members and smokers is [tex]p(M and S)=160[/tex]
Probability of health club members or were smokers is =?
So we use the formula
[tex]p(M or S)=p(M)+p(S)-p(M and S)\\ = 279+215-160\\ = 334[/tex]
Probability of health club members or were smokers is [tex]334[/tex]
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Joni and Lori began running from the same point. Joni ran 5 miles west while Lori ran 7 miles north. How far apart were they when they finished
The distance they finishes is 8.6 miles
Given that miles run by Joni is 5 miles and the miles ran by Lori is 7 miles
We need to find the distance they finished
To calculate the total distance along the diagonal line, the Distance Formula first squares the differences between the two x coordinates and the two y coordinates, then adds those squares, and finally calculates their square root.
We know that
According to the Distance formula
= [tex]\sqrt{(5)2+(7)^2}[/tex]
= [tex]\sqrt{25+49}[/tex]
= [tex]\sqrt{74}[/tex]
= 8.6 miles
Therefore the distance finished is 8.6 miles
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If point U is reflected across the x = -3, what are the coordinates of its reflection image?
The coordinates of U after the reflection are: (-5, -3)
How to get the coordinates after the reflection?
By looking at the graph, we can see that the coordinates of point U are:
U = (-1, -3)
And we want to reflect it across the line x = -3.
Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.
The original x-component is x = -1, the distance to the line is:
d = |-3 - (-1)| = 2 units.
Then the new x-component will also be at 2 units of the line, but in the other direction:
new x-component: x = -3 - 2 = -5
The coordinates of U after the reflection are:
(-5, -3)
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When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by:_______
When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
Precedence is known to be a kind of rule that tells the order in which a specific operations need to be carry out in an arithmetic expression.
The precedence of an operator specifies how tightly it binds two arithmetic expressions together.
In the arithmetic expression 4 + 5 * 3 , the answer is 19 and not 27 because the multiplication (*) operator has a higher precedence than the addition (+) operator.
Operator associativity is nothing but how operators of the same precedence are evaluated in an arithmetic expression. It can be either from left to right or right to left.
Therefore, when an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
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What is it the same of?
Answer:
C. [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
When you convert a fraction division into multiplication, you convert the divisor into its reciprocal. The reciprocal of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex]. So you get your answer [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex].
HELP PLEASE IM REALLY STUCK
Find the difference. express the answer in scientific notation. (8.64 times 10 superscript 20 baseline) minus (7.83 times 10 superscript 20 baseline) 8.1 times 10 superscript 19 0.81 times 10 superscript 20 8.1 times 10 superscript 21 0.81 times 10 superscript 40
Answer:
Its A or B
Step-by-step explanation:
Devika buys 30 notebooks and 15 pens. Each book costs Rs40 and that of each pen is Rs15. Find out the total amount she spent.
Answer:
1425
Step-by-step explanation:
Each notebook costs 40, if she buys 30 you can find the total price of notebooks by multiplying the two numbers:
[tex]40*20=1200[/tex]
Each pen costs 15, the same process can be used, multiply price by quantity:
[tex]15*15=225[/tex]
Now just sum the two numbers to find the final price:
1425
Answer:
Step-by-step explanation:
30*40+15*15=
1200+625=
Rs1625
hope this helps
How to determine instantaneous rate of change with pi
The instantaneous rate of change of the function is 5/π
How to determine the instantaneous rate of change?The function is given as
[tex]f(x) =\cos(x - \pi) + 4[/tex]
Where
[tex]x = \pi[/tex]
Calculate f(π) as follows
[tex]f(\pi) =\cos(\pi - \pi) + 4[/tex]
This gives
[tex]f(\pi) =\cos(0) + 4[/tex]
Evaluate the expression
[tex]f(\pi) =5[/tex]
The instantaneous rate of change is then calculated as;
[tex]f'(x) = \frac{f(\pi)}{\pi}[/tex]
This gives
[tex]f'(x) = \frac{5}{\pi}[/tex]
Hence, the instantaneous rate of change of the function is 5/π
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majorly behind, anyone know the answer?
Player A throws the ball 25 yards to Player B. After catching the ball, Player B immediately turns 90 degrees to his left
and runs with the ball for 30 yards. At the end of the play, how far away is the ball from where it started? Round your
answer to the nearest whole number.
Answer:
39
Step-by-step explanation:
A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the car cover in taking 12 steps
Answer:
the cat would take 13 steps
Which graph represents y= cos(2x - π) +5?
The graph that represents y= cos(2x - π) +5 is illustrated below.
What is a graph?It should be noted that a graph simply means a series of connections among variables given.
In this case the graph that represents y= cos(2x - π) +5 is illustrated below.
The graph is attached.
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A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below.
2 lines are drawn from the ground to the top of a building, forming 2 triangles with the ground. The angle of elevation of the first line is 48 degrees. The second line is 20 feet away from line 1. The angle of elevation of the second line is 33 degrees. c is the length of the first line and h is the height of the building. Angle A is the angle to the left of angle 48 degrees, and angle B is the angle at the convergence of the 2 lines with the top of the building.
Which measurements are correct? Round side lengths to the nearest hundredth. Check all that apply.
m∠A = 57°
m∠B = 15°
c ≈ 10.89 ft
h ≈ 8.09 ft
h ≈ 31.28 ft
Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
What is the Sine Ratio?Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
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Answer:
B. and E.
Step-by-step explanation:
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by where the measurements are in meters. What is the width of the cooling tower at the base of the structure
The width of the cooling tower is 36 meters.
What is a cooling tower?A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.
Now we can model the system using; x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;
2 × ✓324
= 2 × 18
= 36 meters
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Missing parts;
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.
36 meters
48 meters
80 meters
89 meters