What is the surface area of the cylinder? Please show work.

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

Answer:

A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]

Step-by-step explanation:

We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.

Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.

Answer:

Choice A

Step-by-step explanation:

Let's solve to check.

Given:

x^2 + 8x + 6 = 0

Solution:

We know that,

[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]

So substitute them:

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]

[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]

[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]

Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.

Answer: -7 < x < 3

Step-by-step explanation:

-21 < 3x < 9

-7 < x < 3

Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.

The range of a data-set is given by the difference of the greatest value by the smallest.

In the data-set 10, 30, 15, 17, and 18, we have that:

Hence the range is given by:
R = 30 - 10 = 20.

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Answer:4.6

Step-by-step explanation:

Use the pythagorean theorem, then find the square root using your calculator.

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \

\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \

[/tex]

Answer:

Step-by-step explanation:

Proof

AB||CD                          Given

<1 = <2                           Given

<2 = <3                          Alternate interior angles of Parallel lines

<1 =  <3                          Substitution for <2 from Given.

AC = AB                        the sides opposite equal angles are equal

monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.

Grant can arrange 3 out of 10 plants in the following number of ways:

= 10!/ ((10! - 3!)3!)

= ( 10 x 9 x 8) / (3 x 2)

= 120 ways

The parade organizer can arrange 4 floats out of 8 as:

= 8!/((8! - 4!)4!)

= (8 x 7 x 6 x 5) / (4 x 3 x 2)

= 70 ways

When 4! is written in expanded form, it comes out as:

= (4 x 3 x 2)

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Answer:

They Make 50 cents profit a pack

Step-by-step explanation:

1.89-1.35

Since the amount is compounded monthly, the amount would triple after 26 months

Since the money is compounded monthly, we use the compound interest formula

The amount obtained on compound interest is given by A = P(1 + r)ⁿ where

Now, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"

Since A' = P(1 + r)ⁿ where

So, A' = P(1 + r)ⁿ

= 1000(1 + 0.002625)ⁿ

= 1000(1.002625)ⁿ

Also, since $75 is added monthly, after n months, A" = 75n

So, the total amount added is A = A' + A"

= 1000(1.002625)ⁿ + 75n

Since we require the time when the initial amount would triple, so, A = 3A'

= 3 × 1000

= 3000.

So,

A = 1000(1.002625)ⁿ + 75n

3000 = 1000(1.002625)ⁿ + 75n

3000 - 75n = 1000(1.002625)ⁿ

The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)

So, n = 25.736

≅ 26 months

So, the amount would triple after 26 months

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Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%

Answer:

x = 10

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°

(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°

4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°

Add like terms

33x + 30 = 360°

Subtract 30 from both sides

33x = 330°

x = 10

Answer:

10

Step-by-step explanation:

we should note that the sum of angles of a quadrilateral is equal 360°

therefore,

(4x+23)+(16x+15)+(6x-5)+(7x-3)=360

30 +33x= 360

33x= 360-30

33x= 330

dividing through by 33

x= 330/33

x= 10

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

Answer:

Step-by-step explanation:

Use the equation of area of circle:

Substitute π with 22/7 and r with 35 m as per question.

Correct choice is B (with slight difference)

Answer:

B.  3850 m²

Step-by-step explanation:

The area of the base of the lighthouse can be modeled as a circle.

Area of a circle

[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]

[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]

[tex]\implies \sf A=\dfrac{26950}{7}[/tex]

[tex]\implies \sf A=3850\:\:m^2[/tex]

Therefore, the area of the circular base of the lighthouse is 3850 m²

[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]

[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]

[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]

[tex]\\ \rm\Rrightarrow MN=7.6[/tex]

Answer:

EG=

[tex] \frac{28 }{ \sqrt{3} } [/tex]

EF=

[tex] \frac{56}{ \sqrt{3} } [/tex]

Step-by-step explanation:

You have to memories Trigonometric ratios of 60

Answer:

The roots are 0.5 and 4.

Step-by-step explanation:

-2x^2+9x=4

Rearrange:

-2x^2 + 9x - 4 = 0

x = [-b +/- √(b)^2 - 4ac)] / 2a

Using this quadratic formula the solution is:

x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)

   = (-9 +/- √49) / -4

   = 9/4 +/- (-7/4)

   = 9/4 - 7/4 = 0.5

and 9/4 + 7/4 = 4

Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

Brainlist?????

Answer:

  a.  $19,224.92

Step-by-step explanation:

The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.

__

  cost for base car = 0.83 × $21,276 = $17,659.08

  cost for options = 0.80 × $1,219.80 = $975.84

  cost for destination charge = $590.00

The sum of the dealer's costs is ...

  $17,659.08 +975.84 +590.00 = $19,224.92

Barrons should estimate the dealer's cost to be $19,224.92.

Answer:

L=10y

Step-by-step explanation:

1cm=10mm

Hence, the length in millimeters will be 10 times the value in cm.

The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.

It should be noted that graph simply means a diagram that's used to show the information about a data given.

Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.

Therefore, the correct option is C.

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Answer:

Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!

system%2810b%2B6p=17000%2C3b%2B20p=17000%29

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Let +a+ = the cost of 1 pencil

Let +b+ = the cost of 1 book

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

(1) +6b+%2B+10a+=+17000+

(2) +3b+%2B+22a+=+17000+

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

Multiply both sides of (2) by +2+

and subtract (1) from (2)

(2) +6b+%2B+44a+=+34000+

(1) +-6b+-+10a+=+-17000+

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

+34a+=+17000+

+a+=+500+

and

(1) +6b+%2B+10a+=+17000+

(1) +3b+%2B+5a+=+8500+

(1) +3b+%2B+5%2A500+=+8500+

(1) +3b+=+8500+-+2500+

(1) +3b+=+6000+

(1) +b+=+2000+

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

Step-by-step explanation:

IT,LL

HELP

Step-by-step explanation:

1) The width of the rectangle is 10.2 in.

2) The perimeter of the rectangle is 71.4 in.

3) The area of the rectangle is 260.1 sq.in

The total price of new pair of pants including tax will be $ 51.94.

Everything is stated as if it was a fraction of a hundred in quantity.

Tyshawn went shopping for a new pair of pants.

Sales tax where he lives is 6%.

The price of the pair of pants is $49.

Then the total price of new pair of pants including tax will be

Total cost = 49 x (1 + 0.06)

Total cost = 49 x 1.06

Total cost = $ 51.94

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Answer:

I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )

Step-by-step explanation:

[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]

2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]

3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]

4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]

5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]

6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]

7. The answer should be: [tex]3B_{\left(i\right)}[/tex]

Hope this helps...