2. Distribute the -1
(6h + 4) - (2h - 3)

( yx + 4x - 5 )( y + 1 )

.....................................

Answer:

Is E

explanation:

It looks like you have to find the value of the sum,

[tex]C = \displaystyle \frac1{21\times22\times23} + \frac1{22\times23\times24} + \cdots + \frac1{200\times201\times202}[/tex]

so that the n-th term in the sum is

[tex]\dfrac1{(21+(n-1))\times(21+n)\times(21+(n+1))} = \dfrac1{(n+20)(n+21)(n+22)}[/tex]

for 1 ≤ n ≤ 180.

We can then write the sum as

[tex]\displaystyle C = \sum_{n=1}^{180} \frac1{(n+20)(n+21)(n+22)}[/tex]

Break up the summand into partial fractions:

[tex]\dfrac1{(n+20)(n+21)(n+22)} = \dfrac a{n+20} + \dfrac b{n+21} + \dfrac c{n+22}[/tex]

Combine the fractions into one with a common denominator and set the numerators equal to one another:

[tex]1 = a(n+21)(n+22) + b(n+20)(n+22) + c(n+20)(n+21)[/tex]

Expand the right side and collect terms with the same power of n :

[tex]1 = a(n^2+43n+462)+b(n^2+42n+440) + c(n^2+41n + 420) \\\\ 1 = (a+b+c)n^2 + (43a+42b+41c)n + 462a+440b+420c[/tex]

Then

a + b + c = 0

43a + 42b + 41c = 0

462a + 440b + 420c = 1

==>   a = 1/2, b = -1, c = 1/2

Now our sum is

[tex]\displaystyle C = \sum_{n=1}^{180} \left(\frac1{2(n+20)}-\frac1{n+21}+\frac1{2(n+22)}\right)[/tex]

which is a telescoping sum. If we write out the first and last few terms, we have

C = 1/(2×21) - 1/22 + 1/(2×23)

… … + 1/(2×22) - 1/23 + 1/(2×24)

… … + 1/(2×23) - 1/24 + 1/(2×25)

… … + 1/(2×24) - 1/25 + 1/(2×26)

… … + … - … + …

… … + 1/(2×198) - 1/199 + 1/(2×200)

… … + 1/(2×199) - 1/200 + 1/(2×201)

… … + 1/(2×200) - 1/201 + 1/(2×202)

Notice the diagonal pattern of underlined and bolded terms that add up to zero (e.g. 1/(2×23) - 1/23 + 1/(2×23) = 1/23 - 1/23 = 0). So, like a telescope, the sum collapses down to a simple sum of just six terms,

C = 1/(2×21) - 1/22 + 1/(2×22) + 1/(2×201) - 1/201 + 1/(2×202)

which we simplify further to

C = 1/42 - 1/44 - 1/402 + 1/404

C = 1,115/1,042,118 ≈ 0.00106994

set x=0 to get insights.

at x=0 to the functions are

-2(0-2)²+3 = -5

-2(0+2)²-3 = -11

-2(0-2)²+3 = -5

-2(0-2)²-3 = -11

weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.

maybe a + was intended inside the parentheses, dunno.

option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same

Answer:

No

Step-by-step explanation:

x^3• x^3•x^3

We add the exponents

x^(3+3+3) = x^9

x^3•3•3 x^3 *9

9x^3

These are not equal unless

x^9 = 9x^3

Answer:

6w+2

Step-by-step explanation:

Answer:

w^3 + 7w^2 + 6w - 24

Brainliest, please!

Step-by-step explanation:

(w + 4)(w^2 + 3w - 6)

w^3 + 3w^2 - 6w + 4w^2 + 12w - 24

w^3 + 7w^2 + 6w - 24

Answer:

One-half

Step-by-step explanation:

Given

Exponential function

Required

The initial value that shrinks the function by [tex]50\%[/tex]

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where the growth function is:

[tex]r = b^x[/tex]

[tex]a \to[/tex] initial value

For the growth function to shrink by x%, then:

[tex]a =1 - x\%[/tex]

In this case; x = 50. So, we have:

[tex]a =1 - 50\%[/tex]

Express as fraction

[tex]a =1 - \frac{50}{100}[/tex]

Take LCM

[tex]a =\frac{100 -50}{100}[/tex]

[tex]a =\frac{50}{100}[/tex]

Reduce fraction

[tex]a =\frac{1}{2}[/tex]

Answer:

It's D on edge :D

Step-by-step explanation:

Answer:

C=20

Step-by-step explanation:

The value of x is 20. so option C is correct.

In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.

For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.

Find the length of x. Let Assume the triangles are similar.

x/ 12 = 10/ 6

Cross multiplication;

x/ 12 = 10/ 6

x = 12 ( 10/ 6)

x = 20

Hence, the value of x is 20. so option C is correct.

Learn more about similar figure;

https://brainly.com/question/25187489

#SPJ5

The solution to the continuous linear relation is: (2,-7)

The data on the table can be presented as:

Relation A

[tex](x_1,y_1) = (-8,-5)[/tex]

[tex](x_2,y_2) = (-3,-6)[/tex]

Relation B

[tex](x_1,y_1) = (-8,-15)[/tex]

[tex](x_2,y_2) = (-3,-11)[/tex]

Plot the points of each relation and draw a line through the points (see attachment)

Write out the point of intersection of the two lines.

[tex](x,y) = (2,-7)[/tex]

Hence, the solution to the continuous linear relation is: (2,-7)

Read more at:

https://brainly.com/question/20291958

-Answer:

4 lbs of 37% mixed   nuts

Step-by-step explanation:

[tex]\frac{\left(17+.37x\right)}{17+x}\:=\:.88[/tex]

x = 4

Answer:

Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion

Step-by-step explanation:

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

Answer:

A, B, C

Step-by-step explanation:

none of the 4 options changes the shape.

but D changes the size.

C is the only one that also maintains the orientation of the triangle - it only shifts its position.

A and B maintain size and shape, but they do change its orientation.

Answer:

Jada's book was overdue by 1 more day than Juan's book.

...................

Answer:its A

Step-by-step explanation:

i took the quiz

Answer:

2 x ^2 − 2 y^ 2  +  3 x  +  y

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

A and B are the correct options

Answer:

domain) all real numbers

range) all real numbers

Step-by-step explanation:

y=15-9x

there are no illegal values for x that would make the equation invalid so domain is all real numbers

this line is not flat so range is also all real numbers

Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

Circumference of a circle = 2πr

So,

[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]

Answer: Therefore, the circumference of circle is 198 cm.

Step-by-step explanation:

diameter = 63 cm

radius = 63/2 = 31.5 cm

circumference = ?

circumference or perimeter of circle = 2*pi*r

= 2*(22/7)*31.5

= (44/7)*31.5

= 198 cm

Answer:

[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]

Step-by-step explanation:

The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:

Substituting these values into our area formula, we get:

[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]

Answer:

[tex] = { \tt{(0, \: 0)}}[/tex]

Step-by-step explanation:

Let:

[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]

Substitute for y in equation (b) to equation (a):

[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]

Also, y = 0

Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

Answer:

8 cm

Step-by-step explanation:

The length of the whole shape is 13. On the right side, it says the length is 5 cm. You use 13-5 to get the missing length.

Answer:

the answer is 8 cm

Step-by-step explanation:

111111101010100110

Step-by-step explanation:

es 125

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Answer:

[tex]x=-\frac{11}{8}[/tex]

Step-by-step explanation:

Hi there!

[tex](x - 4) - (x + 7) = 8x[/tex]

Open up the parentheses

[tex]x - 4 - x - 7 = 8x[/tex]

Combine like terms

[tex]x -x - 4 - 7 = 8x\\-4-7=8x\\-11=8x[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]

[tex]-\frac{11}{8}=x[/tex]

I hope this helps!

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

Answer:

105897 ft²

Step-by-step explanation:

let, r be the radius, so r = 106 ft

Surface area of a hemisphere,

2πr²+πr²

= 2π×106²+π×106²

= 105897 (rounded to the nearest whole number)