x2 - 2x + 2 = 0
solve each equation by graphing. if integral roots cannot be found estimate the roots by stating the consecutive integers between which the Roots lie.​

Answer:

[tex]V=502.5\ cm^3[/tex]

Step-by-step explanation:

The area of the pentagonal base, A = 33.5 cm²

The height of the prsim,h = 15 cm

We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :

[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]

So, the required volume is [tex]502.5\ cm^3[/tex].

Answer:

50:1

Step-by-step explanation:

Rs50=Rs50

100 paise= Rs1

Ratio = 50:1          [ cant be simplified further]

I hope im right!!

Another way:

Rs50= 50 x 100 = 5000 paise

100 paise= 100 paise

Ratio = 5000: 100

[tex]\frac{5000}{100}[/tex] ÷ [tex]\frac{100}{100}[/tex] = [tex]\frac{50}{1}[/tex]

Ratio = 50:1

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1  6  15  20  15  6  1

Decreasing powers of 1 from [tex]1^{6}[/tex] to [tex]1^{0}[/tex]

Increasing powers of 3x from [tex](3x)^{0}[/tex] to [tex](3x)^{6}[/tex]

[tex]1+3x)^{6}[/tex]

= 1.[tex]1^{6}[/tex][tex](3x)^{0}[/tex] + 6.[tex]1^{5}[/tex][tex](3x)^{1}[/tex] + 15.[tex]1^{4}[/tex][tex](3x)^{2}[/tex] + 20.[tex]1^{3}[/tex][tex](3x)^{3}[/tex] + 15.1²[tex](3x)^{4}[/tex] + 6.[tex]1^{1}[/tex][tex](3x)^{5}[/tex] + 1.[tex]1^{0}[/tex][tex](3x)^{6}[/tex]

= 1 + 18x + 135x² + 540x³ + 1215[tex]x^{4}[/tex] + 1458[tex]x^{5}[/tex] + 729[tex]x^{6}[/tex]

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

[tex](1-3x)^{6}[/tex]

= 1.[tex]1^{6}[/tex][tex](-3x)^{0}[/tex] + 6.[tex]1^{5}[/tex][tex](-3x)^{1}[/tex] + 15.[tex]1^{4}[/tex][tex](-3x)^{2}[/tex] + 20.[tex]1^{3}[/tex][tex](-3x)^{3}[/tex] + 15.1²[tex](-3x)^{4}[/tex] + 6.[tex]1^{1}[/tex][tex](-3x)^{5}[/tex] + 1.[tex]1^{0}[/tex][tex](-3x)^{6}[/tex]

= 1 - 18x + 135x² - 540x³ + 1215[tex]x^{4}[/tex] - 1458[tex]x^{5}[/tex] + 729[tex]x^{6}[/tex]

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

Collecting like terms from both expressions

[tex](1+3x)^{6}[/tex] + [tex](1-3x)^{6}[/tex]

= 2 + 270x² + 2430[tex]x^{4}[/tex] + 1458[tex]x^{6}[/tex]

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

(2)

Using Pascal's triangle with n = 5

1  5  10  10  5  1

Decreasing powers of 1 from [tex]1^{5}[/tex] to [tex]1^{0}[/tex]

Increasing powers of 2x from [tex](2x)^{0}[/tex] to [tex](2x)^{5}[/tex]

[tex](1+2x)^{5}[/tex]

= 1.[tex]1^{5}[/tex][tex](2x)^{0}[/tex] + 5.[tex]1^{4}[/tex][tex](2x)^{1}[/tex] + 10.[tex]1^{3}[/tex][tex](2x)^{2}[/tex] + 10.[tex]1^{2}[/tex][tex](2x)^{3}[/tex] + 5.[tex]1^{1}[/tex][tex](2x)^{4}[/tex]+ 1.[tex]1^{0}[/tex][tex](2x)^{5}[/tex]

= 1 + 10x + 40x² + 80x³ + 80[tex]x^{4}[/tex] + 32[tex]x^{5}[/tex]

Answer:1 ton is 32,000 ounces so 3 tons is 96000 ounces + 400 = 96,400 ounces total

Hope this helps :)

Step-by-step explanation:

228 ÷12 =19

So 19 dollars per hour

Now 133÷19= 7 hours

Answer:

144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters

Step-by-step explanation:

Area of a circle, A = πr²

1.)

with a Radius of 12 feets

A = π * 12² = 144πfeets²

2.)

Approximate area :

3.14 * 10.4² = 339.6224 feet²

3.)

with a Radius of 28 cm

A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²

4.

Diameter = 50 cm ; Radius = 50/2 = 25

with a Radius of 25 centimeter

A = 3.14 * 25² = 1962.5 cm²

Answer:

x = 15[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]

Answer:

A. Add -2 to both sides

Step-by-step explanation:

The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

Answer:

48%

Step-by-step explanation:

100/25= 4

so

12×4/ 25×4 = 48/ 100 = 0.48

0.48 ×100 = 48%

Answer:

for the first answer your answer was correct, it was the second answer that was wrong. So the first answer is 2 3/4. The second answer would be 81 centimeters because it grew that much.

Step-by-step explanation:

To find the first answer add the starting height and ending height. To find how much it grew convert the total ending height of the tree to cm by multiply by 100, so 275. Then subtract 356 by 275 because you are finding out how much it grew. Take away 275 from 356 and you get 81

Answer:

5 pounds = 80 ounces

Hope it helps!!!

Answer:

Where are the following expressions?

Step-by-step explanation:

Answer:

160 pieces of gum in 20 days.

Step-by-step explanation:

First we have to find the number of gum she chewed in a day. To do this divide 112 and 14. We got 8. Then multiply the number of gum she chewed in  a day (8) by the number of days (20).

8 x 20 = 160

She chewed 160 pieces of gum in 20 days.

Hope this helps!!

Have a good day!!

Answer:

The answer is A

Becaise Mode is not a measure of centre, and Mean is dramatically changed with the outli

I think that would be correct, Hope it helps!!!

Answer:

1235674895

Step-by-step explanation8

Answer:

a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Step-by-step explanation:

a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:

[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)

Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.

If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:

[tex](h,k) = (4, -6)[/tex]

The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) Now we need to determine the length of each semiaxis:

Major semiaxis ([tex]a[/tex])

[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)

[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]

[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]

[tex]a = 9[/tex]

Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.

Distance between focus and center ([tex]c[/tex])

[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]

[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]

[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]

[tex]c = 5\sqrt{2}[/tex]

Minor semiaxis ([tex]b[/tex])

[tex]c^{2} = a^{2}-b^{2}[/tex] (3)

[tex]b = \sqrt{a^{2}-c^{2}}[/tex]

If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:

[tex]b = \sqrt{31}[/tex]

In this case, the standard equation of the ellipse is defined by this formula:

[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]

If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:

[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]

The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) The lengths of the axes are, respectively:

Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]

Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Answer:

a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is .

c) Major semiaxis (): , Minor semiaxis ():

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Marks of the four exams = 65, 80, 76, 68

Let the mark for the fifth exam be = x

Mean of the five exams = 70

Therefore,

By the problem,

[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]

[tex] = > \frac{289 + x}{5} = 70[/tex]

=> 289 + x = 70 × 5

=> 289 + x = 350

=> x = 350 - 289

=> x = 61

Hence,

Marks of the fifth exam is 61 (Ans)

Answer:

A

Step-by-step explanation:

Answer:

the awnser to your question is letter c

Answer:  x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126

Step-by-step explanation:  Take the log of both sides of your equation:

log(y) = log(400)(1.0065)^x

log (y) = log 400 + log(1.0065)^x

Subtract log(400) from both sides:

log(y) - log 400 = xlog(1.0065)

Divide both sides by log(1.0065)

[log(y) - log(400)]/log(1.0065) = x

Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.

Answer:

x=5, y=2. (5, 2).

Step-by-step explanation:

3x-2y=11

x+2y=9

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

4x=20

x=20/4

x=5

5+2y=9

2y=9-5

2y=4

y=4/2

y=2

Answer:

y ≤ 1

Step-by-step explanation:

Answer:

127/495

Step-by-step explanation:

Turning repeating decimals into fractions is a little like surgery: you need to make sure to "cut out" just the right part to let you simplify. In this case, it'd be very nice if we could deal with that repeating 0...565656... part. Let's start by giving our decimal a name:

[tex]x=0.25656...[/tex]

We're gonna split this into two parts: a number we can operate on, and "knife" to make the incision. For both, we'd like the only part to the right of the decimal to be the repeating part. To make our "knife," we'll multiply both sides of the equation by 10:

[tex]10x=2.5656...[/tex]

To make the number we'll be cutting from, we can shift the decimal point by any multiple of two more to the right. I'll keep things simple and stick with 2. This corresponds to multiplying the "knife" equation by 100 on both sides:

[tex]1000x=256.5656...[/tex]

Surgery time! To cut out the repeating bit, we can now just subtract the "knife" equation from the one above:

[tex]1000x-10x=256.5656...-2.5656...\\990x=254[/tex]

And just like that, it's gone! All that's left to do now is divide both sides by 990 and simplify:

[tex]x=254/990=127/495[/tex]

Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled  6 miles.

Answer:

B ?

Step-by-step explanation:

Answer:

Not enough information.

Step-by-step explanation:

AB + BC + CD + DA = 46

In a parallelogram, opposite sides are congruent.

AB + DA + AB + DA = 46

2AB + 2DA = 46

We have two unknowns and only one equation.

There is not enough information to answer the question.

Answer:

x=2

Step-by-step explanation:

Distribute the 7 across the 2x and 3:

[tex](7)(2x)-3(7)=7[/tex]

[tex]14x-21=7[/tex]

Isolate the x term by adding 21 on both sides:

[tex]14x=28[/tex]

Isolate x by dividing by 14 on both sides:

[tex]\frac{14x}{14}=\frac{28}{14}[/tex]

[tex]x=2[/tex]

If this helped, brainliest answer would be greatly appreciated!

Answer:

x>−9

Step-by-step explanation:

Hope this helps.