What is the quotient (2x^3 + 3x - 22) / (x-2)

Answers

Answer 1

Answer:

2x^2+4x+11

Step-by-step explanation:


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Answers

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What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!

Answers

Answer:

41/99

Step-by-step explanation:

There are two types of non terminating decimals. These are: Simple and Mixed

The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.

And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.

So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.

Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.

And the numerator will be the decimal number that keeps repeating itself without the repeating bar.

Therefore, the answer is 41/99.

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By moving point G, how many triangles is it possible to draw, keeping the measure of just one angle constant (in this case, m∠FDE)? In how many instances are all three angle measures of ∆DEF equal to those of the original triangle, ∆ABC?

Answers

Step-by-step explanation:

Keeping,  one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.

At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.

As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.

Answer:

Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.

Step-by-step explanation:

Solve the equation. \dfrac5{13}=t-\dfrac{6}{13} 13 5 ​ =t− 13 6 ​ start fraction, 5, divided by, 13, end fraction, equals, t, minus, start fraction, 6, divided by, 13, end fraction t=t=t, equals

Answers

Answer:

11 /13 = t

Step-by-step explanation:

5/13  = t -6/13

Add 6/13 to each side

5/13 + 6/13  = t -6/13+ 6/13

11 /13 = t

Answer:

[tex]t=\frac{11}{13}[/tex]

Step-by-step explanation:

[tex]\frac{5}{13} = t -\frac{6}{13}[/tex]

Add [tex]\frac{6}{13}[/tex] to both sides.

[tex]\frac{5}{13} + \frac{6}{13} = t -\frac{6}{13} + \frac{6}{13}[/tex]

[tex]\frac{11}{13} =t[/tex]

The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2.2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.

Answers

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²


a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).​

Answers

Yes the value of n is 20

Step-by-step explanation:

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what is 1/8 - 7/8 ? ( its a fraction)

Answers

Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

YO PLZ HELP!! MARKING BRAINIEST!!

Answers

Answer:

x = 26, 16

Step-by-step explanation:

( x-21) ^2 = 25

Take the square root of each side

sqrt(( x-21) ^2) = ±sqrt(25)

x-21 = ±5

Add 21 to each side

x-21+21 = 21±5

x = 21±5

x = 21+5  and x = 21-5

x = 26, 16

A set of five integers has unique mode 7, median 9, and arithmetic mean 11. What is the greatest possible value in the set?

Answers

Answer:

22

Step-by-step explanation:

Since the mean of the set is 11, the sum of the integers in the set must be 11 * 5 = 55. The median must be the 3rd integer, therefore the 3rd integer is 9. Since 9 > 7 and there are only 2 integers less than the median, the 1st and 2nd integers must be 7 and 7 because 7 is the mode. This leaves the last two integers to have a sum of 55 - (9 + 7 + 7) = 32. In order for the last integer (the greatest one) to have the largest value, the fourth integer must be as small as possible. Therefore, the fourth integer is 10 (it can't be 9 because 7 is the only mode) which makes the answer 32 - 10 = 22.

What are the points

Answers

Answer:

Step-by-step explanation:

x-y=6

(0,-6),(6,0)

4x+y=4

(0,4),(1,0)

point of intersection:

Answer:

for first eq

three points are (7,-1) (6,0) and (5,1)

for second eq

three points are (1,0) (0,4) and (-1,8)

point of intersecton is (2,-4)

Step-by-step explanation:

check by substituting if u want

hope i helped

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The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square

Answers

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation:

Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph. (a) Work out the distance Ruth walked.

Answers

Answer:

she walked 6 miles.

Step-by-step explanation:

We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).

We can solve this using a rule of three:

If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?

1 hour           4 miles

1.5 hours       x miles

Solving for x we get:

[tex]x=\frac{1.5(4)}{1} =6[/tex] miles

Thus, she walked a distance of 6 miles

The distance between her home and the library is the number of meters between them.

The distance walked is 6 m

The speed is given as:

[tex]\mathbf{Speed = 4mph}[/tex]

The time spent walking is calculated as:

[tex]\mathbf{Time = 10:30am - 9:00am}[/tex]

[tex]\mathbf{Time = 1.5\ hrs}[/tex]

So, the distance is calculated as:

[tex]\mathbf{Distance = Speed \times Time}[/tex]

Substitute known values

[tex]\mathbf{Distance = 4mph \times 1.5hrs}[/tex]

[tex]\mathbf{Distance = 6m}[/tex]

Hence, the distance walked is 6 m

Read more about distance at:

https://brainly.com/question/9150462

I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared

Answers

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units

Answers

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

Read more about shaded areas at:

https://brainly.com/question/24579466

HELP PLZZZ

If f(x)=3x+2, what is f(5)?

Answers

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers

Answers

Answer:

they are 16 and 4

Step-by-step explanation:

We can call the numbers x and y and we can write:

x - y = 12

x + y = 20

Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.

Answer:

The numbers are 16 and 4

Step-by-step explanation:

Let the two numbers be x and y

x-y = 12

x+y = 20

Add the two equations together

x-y = 12

x+y = 20

-------------------

2x = 32

Divide by 2

2x/2 =32/2

x = 16

Now find y

x+y =20

16+y =20

Subtract 16

y = 20-16

y = 4

Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4

Answers

Answer:

Step-by-step explanation:

P (m) = a (m + 1) + b (m + 1) - c (m + 1)

P (m) = (a + b - c) (m + 1)

There are 2 prime factors

In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180

Answers

Answer: 180

Step-by-step explanation:

Let the tons of ice the ship was carrying when it set sail be y.

We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.

This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:

2/3 × y = 120

2y/3 = 120

2y = 120 × 3

2y = 360

y = 360/2

y = 180

The ship was carrying 180 tons of ice when it set sail

A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?

Answers

Answer:

10

Step-by-step explanation:

12 total and 3 whites

there is 10 11 and 12.

Find f. f '''(x) = cos(x), f(0) = 8, f '(0) = 4, f ''(0) = 9 f(x) =

Answers

Answer:  f(x) = -sin(x) + (9/2)x^2 + 5x + 8

======================================================

Work Shown:

f ''' (x) = cos(x) .... third derivative

f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end

We are given f '' (0) = 9, so we'll make use of this to find C

f '' (x) = sin(x)+C

f '' (0) = sin(0)+C

9 = sin(0) + C

9 = 0 + C

9 = C

C = 9

Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9

------------

Integrate both sides of the second derivative to get the first derivative function

f '' (x) = sin(x)+9

f ' (x) = -cos(x)+9x+D ... D is some constant

Make use of f ' (0) = 4 to find D

f ' (x) = -cos(x)+9x+D

f ' (0) = -cos(0)+9(0)+D

4 = -1 + 0 + D

D = 5

So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5

------------

Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.

f ' (x) = -cos(x)+9x+5

f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant

f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E

8 = 0 + 0 + 0 = E

E = 8

------------

We have

f(x) = -sin(x) + (9/2)x^2 + 5x + E

turn into

f(x) = -sin(x) + (9/2)x^2 + 5x + 8

A pole that is 2.5 M tall cast a shadow that is 1.72M lawn dart at the same time a nearby tower cast a shadow that is 50.5 M long how tall is the tower round answer to the nearest meter

Answers

Answer:

The tower is 73.4 m tall

Step-by-step explanation:

The height of the pole = 2.5 m

The shadow cast by the pole = 1.72 m

Shadow cast by tower = 50.5 m

To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;

[tex]Tan\theta =\dfrac{Opposite \ side \ to\ angle \ of \ elevation}{Adjacent\ side \ to\ angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}[/tex]

[tex]\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}[/tex]

The same tanθ gives;

[tex]Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \ shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}[/tex]

Which gives;

[tex]{Height \ of \ tower } = {50.5} \times \dfrac{2.5}{1.72} = 73.4 \ m[/tex]

Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.

Answers

Answer:

(-7/9, -4/9)

Step-by-step explanation:

i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL

Hope do will on what you are doing :)

If you want you can give me brainliest, it helps me a lot

have a good day :)

Answer:

I got (1,-4) on my Khan

Step-by-step explanation:

Please HELP me with this question! I am really struggling with this...

Answers

Answer:

A) 22°

Step-by-step explanation:

∡DBG = (360° - BD - BG)/2

= (360° - 170° - 146°)/2

= 44°/2

= 22°

ASAP!!! PLEASE help me with this question!

Answers

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

Write the algebric expression of the difference of 'a' and 'b'

Answers

Step-by-step explanation:

An algebraic expression haa atleast one variable and operator sign such as (+,-,×,÷)

According to the question, an algebraic expression should be made from difference of 'a' and 'b'

so, the expression is (a - b) or a - b.

Hope it helps!!!!

the figure is cut into 8 equal pieces shade 3/4 of the figure

Answers

8 pieces divided by 4 is 2. Times that by 3 is 6 therefore the answer is 6

Answer:

You have to shade 6 pieces.

Step-by-step explanation:

Hope it helps!

An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?

Answers

a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.

------------------

b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

------------------

c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

------------------

d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.

In the figure ABCD is a parallelogram. P, Q, R and S are the midpoint of the sides of the parallelogram. Prove that PQ = RS and QR = PS.

Answers

Answer:

ΔRCQ = ΔAPS

QR = PS (CPCTC)

ΔSRD ≅ ΔQPB

PQ = RS (CPCTC)

Step-by-step explanation:

Given that ABCD is a parallelogram, we have;

AD = BC, and DC = AB (Definition of a parallelogram)

AD = AS + SD Given S is midpoint of AD

Similarly,

DC = DR + RC

BC = BQ + QC

AB = AP + PB

RC = DR = AP = PB

BQ = QC = QC = BQ  segments on either sides of midpoint

∠BCA = ∠DAB (opposite interior angles of a parallelogram)

ΔRQC ≅ ΔSPA

ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)

Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Similarly we have;

∠CDA = ∠CBA (opposite interior angles of a parallelogram)

ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)

Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).

Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x + 6y + 5y – 35x

Answers

Answer:

2x - 3x -6y - 5y +35x

Step-by-step explanation:

-3 multiplied by x is -3x

-3 multiplied by +2y is -6y

-5 multiplied by y is -5y

-5 multiplied by -7x is +35x

2x remains the same.

Answer:

c. 2x – 3x – 6y – 5y + 35x

Step-by-step explanation:

edge 2021

(:

Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number. will give brainliest

Answers

Answer:

366 minute

Step-by-step explanation:

first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366

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(13) Some plants retain a great deal of their foliage through much of the spring and summer, but the leaves do not retain their green color for long. (14) There are various pigments of colors, including yellow pigments known as xanthophylls and the orange pigments called carotenoids. (15) Red and purple pigments come from anthocyanins, which are manufactured from the sugars that are trapped in the leaf. (16) These fall colors are actually always present in the leaves throughout the growing season, but only show up in the fall. (17) When all the color pigments are gone during extreme weather conditions, the only pigment that remains are tannins, which are brown. What Makes Leave Change Color? (18) Trees are sensitive to these changes in their environment, so as the season begins to change, the trees "know" to start getting ready for winter. (19) Leaves are green in the spring and summer because that is when they are making the most amounts of chlorophyll. (20) But, as summer ends and autumn comes, the days get shorter and there is not enough light or water for photosynthesis. (21) As a result, the trees will rest and live off the food they stored during the warmer months. (22) They begin to shut down their food-making factories and the bright green fades away from the leaves, revealing the reds, oranges, and yellows. Help to answer the questions.. A cylinder has a volume of 390 cm. If a cone has the same dimensions as the cylinder then what is the volume of the cone. Mr. Weaver invested part of his $6000 inheritance in an account that earns 4%simple interest and the other part in an account that earns 7% simple interest.How much did he invest in each account if the two accounts earned $360 afterthe first year? Why does Rauschenbusch argue that the salvation of individuals is not sufficient to address social problems? You are driving in stop-and-go traffic during the daytime, and someone in another vehicle tells you that your brake lights are not working. You should look for a service station, do all your braking very gently, and:___________.