What is the volume of the sphere rounded to the nearest whole number if the radius is 3.63 inches?

An expression is defined as a set of numbers, variables, and mathematical operations. The quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be solved as,

[tex]\dfrac{x^3+3x^2-4x+5}{x^2-2}\\\\\\= x + \dfrac{3x^2-2x+5}{x^2-2}\\\\\\= x + 3+\dfrac{-2x+11}{x^2-2}[/tex]

Hence, the quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).

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Answer:

A = (6,6)

Hope this helps!

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

Answer:

165 centimeters

Step-by-step explanation:

An example of calculating BMI using the formula: Height = 165 cm (1.65 m), Weight = 68 kg One centimeter is equal to 0.01 meter: 1cm = 0.01m. You are 65 inches tall. 65 * (2.54) = 165.1 cm.

Answer:

165 cm

Step-by-step explanation:

1.65 meters = 1.65 × 100 = 165 centimeters

Answer:

g(x) = a(x - 23)(x + 4)

Step-by-step explanation:

Weren't there possible answer choices to share?

if this function has zeros at 23 and -4, then the function has the following form:

g(x) = a(x - 23)(x + 4)

Given:

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

To find:

The solution for the given quadratic equation in simplest form by using the quadratic formula.

Solution:

Consider a quadratic equation is defined as [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

We have, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get

[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]

[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex]              [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]

The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].

Hence, the correct option is B.

Answer:

38

Step-by-step explanation:

4*9 1/2=38

Hand written explanation:

4*9=36

4*1/2=4/2=2

36+2=38

Answer:

the answer is actually 38 that is the correct answer for this particular question it's saved 4 * 9 and a half and the answer is 38

Answer: the first one, 2^3x 3^2, correct me if i am wrong

Step-by-step explanation:

Answer:

2^3*3^2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

Answer:

The awnser should be $11

Step-by-step explanation:

You would need to divide the total price Luis pays, $51 by the amount he got 3. From there you would get 17=p but you would have to subtract it by the sale which was $6 and you get $11.

I dont know

I would just pick c

Answer:

1:Exponents are not involved..try this 34% 1/2 + ==% 98) ::*37 21 /) ( ^ 11 56/77

2:make a little close parenthesis and make a little = and % x2 RX then multiply it 9 by 9

3:477/^54*(7632)**% 87÷32×(76*09×23) 2/8=97

4:9a/(92 28 ^^_× (32

Step-by-step explanation:

HOPE IT HELPS!!

Answer:

5

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

Answer:

K = 180 - 45 = 135

J = 180  - 92 =88

Step-by-step explanation:

K = 180 - 45 = 135

J = 180  - 92 =88

Answer:

The first answer to the fourth answer is rational numbers.

Step-by-step explanation:

Rational numbers are usually expressed as fractions or decimals, but rational numbers are never whole numbers. Hope this helps!

Answer:

2,138 in^3

Step-by-step explanation:

I know this is old but other people can find this helpful

Answer:

36 degrees

Step-by-step explanation:

angle 1 and 2 are the same

good luck!

Complementary angles are of 90°.

So, angle 1 + angle 2 = 90°

=> 36° + angle 2 = 90°

=> angle 2 = 90° - 36°

=> angle 2 = 54°

Answer:

1.646 > 1.43

hope this helped

> = greater

Step-by-step explanation:

Answer:

1.646 i think-

Step-by-step explanation:

Answer:

first Q . mirror

Second Q. sight and touch

Answer:    Smoothest surface: mirror

senses being used: sight and touch

hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Let us represent

Steaks = x

Water melons = y

Our system of equations is given as:

x + y = 6.. Equation 1

x = 6 - y

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50.

$2× x + 1.5 × y = $10

2x + 1.5y = 10... Equation 2

Substitute

2(6 - y) + 1.5y = 10

12 - 2y + 1.5y = 10

12 - 10 = 2y - 1.5y

2 = 0.5y

y = 2/0.5

y = 4

Answer:

98 + 37 = 135

180 - 135 = 45

Step-by-step explanation:

u might be asking yourself why added both of the measures .The reason why i added both of the measurements and subtracted it from 180 is that a triangle measures up to 180 if u ever hear someone talkin about an angle that measures more than 180 then that won't be a trianlge ...If u add both of the answers the will surely give u 180 if u don't believe it 98 + 37 +45 = 180

Answer:

1) b   2) b

Step-by-step explanation:

1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).

2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x

Question 1

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Explanation:

Note how we have (x+6) show up twice. What we can do is erase both copies to end up with 5ab-4. Then stick parenthesis around that to get (5ab-4). Effectively what is going on here is that we're pulling out the GCF (x+6).

Lastly, tack on the (x+6) we erased earlier to get the factorization of (5ab-4)(x+6). Because multiplication can be done in any order, this means it's the same as (x + 6)(5ab - 4)

We can use the distribution method, the box method, or FOIL to expand that factorization back out and help confirm we have the correct answer.

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Question 2

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Explanation:

We'll use the factor by grouping method.

Pair up the terms, then factor each grouping pair. From there, you'll follow the ideas mentioned in problem 1 to finish things off.

This is what the steps could look like:

4ab - 7ax + 8b - 14x

(4ab - 7ax) + (8b - 14x) ... pair up terms

a(4b - 7x) + 2(4b - 7x) ... factor out GCF from each group

(a + 2)(4b - 7x) ... use the trick done in problem 1

(4b - 7x)(a + 2) .... the order of multiplication doesn't matter

You can use the distribution method, FOIL method, or box method to help confirm the answer.

Answer:

d

Step-by-step explanation:

Answer:

100% -> 6.50

100 - 25 = 75

75% -> 6.50/100 x 75

            = 4.875

            ≈ 4.88    

Answer:

$4.875 or if rounded $4.88

Step-by-step explanation:

Hope this helped

also u just have to subtract 6.50 by 25%

Answer: 1 hour

Step-by-step explanation: