David draws one card from a deck of cards. What is the probability that he selects a 7?

The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

It can be expressed as 3x³ + 6x² + 8x + 24  + 47 / x - 2

Quotients is the number obtained by dividing one number by another.  

The given expression is;

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

Using synthetic division:

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24 remainder 47

3x⁴ - 4x² + 8x - 1 → Dividend

x - 2 → Divisor

3x³ + 6x² + 8x + 24 → Quotient

47 → Remainder

The quotient is;

[tex]\rm =\dfrac{3x^4-4x^2+8x-1}{x-2}\\\\=\dfrac{(3x^3 + 6x^2 + 8x + 24)(x-2)}{x-2}\\\\=3x^3 + 6x^2 + 8x + 24[/tex]

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

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The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) would be 3x³ + 6x² + 8x + 24.

Quotients are the number that is obtained by dividing one number by another number.

The given expression

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24

remainder is 47

Here,

3x⁴ - 4x² + 8x - 1 = Dividend

x - 2 = Divisor

3x³ + 6x² + 8x + 24 = Quotient

47 = Remainder

The quotient is;

(3x⁴ - 4x² + 8x - 1) / (x - 2)

(3x⁴ - 4x² + 8x +24) (x - 2) / (x - 2)

3x³ + 6x² + 8x + 24

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

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Answer

the answer is a

Step-by-step explanation:

Answer:

A. 6+6+6+6=24

Hope this helps!

Answer:

its a

Step-by-step explanation:

⇒ because if you add 6 four types it equals = 24 inches hope this helped

The factor of the given polynomial are (3x^2-2)(x^2+5)

The polynomial

[tex]3x^4-2x^2+15x^2-10[/tex]

Factoring a polynomial is expressing the polynomial as a product.

The rearranged, grouped, and solved as follows

[tex]3x^4+15x^2-2x^2-10[/tex]

[tex]3x^4+15x^2-(2x^2+10)[/tex]

Factor out the common term

[tex]3x^2(x^2+5)-2(x^2+5)[/tex]

[tex](3x^2-2)(x^2+5)[/tex]

That is the third option is the correct option.

Therefore the factor of the given polynomial are  (3x^2-2)(x^2+5)

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Answer: B) 86°

Step-by-step explanation:

The angles of a triangle always add to equal 180.

So let's call the third angle x and add the other two angles with it.

32+62+x=180

94+x=180

Now we solve for x

Subtract 94 from both sides

94-94+x=180=94

x=86

Answer: [tex]\frac{3}{8}[/tex] of the 3 candy bars

Step-by-step explanation:

       We will divide the total number of candy bars by the portions.

3 candy bars / 8 portions = [tex]\frac{3}{8}[/tex]

                     Each friend will receive [tex]\frac{3}{8}[/tex] of the 3 candy parts

Answer:

2 1/6

Step-by-step explanation:

13/6 is 6/6 + 6/6 + 1/6... each 6/6 = 1 sooo. 2 and 1/6 :)

orrr

6*2 is 12 (closest multiple of 6 to 13, so 2 is whole number w/ 1(/6) as a remainder

Explanation:

A rhombus is a parallelogram in which the diagonals are mutual perpendicular bisectors. The coordinates of the vertices can be used to show ...

When both these conditions are met, the quadrilateral is a rhombus.

__

The diagonals will have the same midpoint (bisect each other) if the sum of the coordinates at the ends of one diagonal is the same as the sum of the end point coordinates of the other diagonal:

  A +C = B +D

  (3, 6) +(9, 6) = (6, 8) +(6, 4)

  (3+9, 6 +6) = (6 +6, 8 +4)

  (12, 12) = (12, 12) . . . . . . midpoints are the same; ABCD is a parallelogram

__

The diagonals will be perpendicular if the sum of the products of the coordinate differences of their end points is zero.

  AC⋅BD = (C -A)⋅(D -B) = (9 -3, 6 -6)⋅(6 -6, 4 -8)

  = (6, 0)⋅(0, -4) . . . . . end point differences; we want their dot-product

  = (6)(0) +(0)(-4) = 0 +0 = 0 . . . . diagonals are perpendicular

_____

Additional comment

The midpoints are computed as (A+C)/2 and (B+D)/2. We have multiplied each of them by 2 to simplify the arithmetic. Our resulting sums of (12, 12) must be divided by 2 to get the actual midpoint of the rhombus: (6, 6).

The notion of "dot product" is a vector notion. Two vectors are perpendicular when their dot product is zero. The dot product is the scalar sum of the products of corresponding coordinates.

Answer: 102 copies

Step-by-step explanation:

4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time

The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

[tex](2x - 1)(x +4)[/tex]

Multiply term by term,

[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]

Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].

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Answer:

1 pound of turkey is 3 dollars

Step-by-step explanation:

Answer:

1 lb of turkey costs 3$

Step-by-step explanation:

You divide the cost by the pound to find the answer

21/7 =3

Answer:

Rotation" refers to an object's spinning motion about its own axis.

"Revolution" refers the object's orbital motion around another object.

For example, Earth rotates on its own axis, producing the 24-hour ( a day.)

Earth revolves about the Sun, producing the 365-day (a year).

Answer:

5.83 cubic feet

Step-by-step explanation:

Volume of block1 :

l = 4 ft

[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]

[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]

                            [tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]

Volume of block2:

  l = 4 ft

  [tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]

            [tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]

                                       [tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]

Amount of concrete to build stairs = Volume of block1 + volume of block2

                                                [tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

The equation is given as:

V - E + F = 2

Where:

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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Answer:

30(2+1)

Step-by-step explanation:

Again, find common highest number. It is 30.

60/30 =2

30/30 = 1

so,

30(2+1)

Answer:

The area is 176.6

Step-by-step explanation:

The formula for the area of a circle is "πr²"

This means you square the radius, and multiply it by pi.

Our diameter is 15, and the radius is half of the diameter.

15 ÷ 2 = 7.5

Next, we square the radius. (7.5)

Let's fill it into the formula.

π7.5²

After squaring, it's this:

π56.25

In your question, pi is 3.14, so let's replace that.

(3.14)56.25

After multiplying we get 176.625, after we round, we get 176.6

176.6 is the area.

Brainliest please?  

Answer:

The area is 176.6

Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.

Step-by-step explanation:

Answer: 5/10 +5/10 =10/10 =1

Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.

When you get 10/10, the first and second box can be figures that sum up to be 10.

It can be 7 and 3, it can be 6 and 4

The fair interval illustrates a sample space

The interval that will make a fair decision is from 5 to 20

From the question, we understand that:

Since they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)

The sample space (S) is calculated as:

S = Highest - Least + 1

S = 10 - 2 + 1 = 9

S = 15 - 3 + 1 = 13

S = 20 - 5 + 1 = 16

S = 25 - 5 + 1 = 21

Only 16 can be divisible by 2

Hence, the interval that will make a fair decision is from 5 to 20

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Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First,  you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

Answer:

Step-by-step explanation:

x+y=10

1.50x+2.50y=22

Then use the the elimination method. The final answer is x=3, y=7.

Answer:

5)

x=13.856

y=8

6)

u=4

v=3.464

Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[5] x = 8 and y =  13.856

[6] v = 4 and u = 3.464

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

[5]

sin60° = x/16 = 1/2

x = 16/2 = 8

cos60° = y/16 = √3/2

y = 16√3/2 = 8√3

Can also be : 8√3 = 13.856

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

[6]

sin30° = 2/u = 1/2

u = 2 x 2 = 4

tan30° = 2/v = √3

v = 2√3

can also be:  2√3= 3.464

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

~lenvy~

5(w. 9)

hope it really helps...!!!

= 4000

= 7000000000

= 4

( to convert back to ordinary form just move the decimal point according to the power. )

Answer:

A. 4000

B. 7000000000

C. 4

Step-by-step explanation:

A. 4×10³

= 4 × 1000

= 4000

B. 7×10⁹

= 7×1000000000

= 7000000000

C. 4×10⁰

(a⁰=1)

= 4×1

= 4

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

$12.50

Step-by-step explanation:

You donate $150 in total in a year.

To find out how much you donated on the first month, remember the relation between a year and number of months.

⇒ 1 year = 12 months

⇒ 1 month = 1/12 year

Finding the amount donated