TIME REMAINING
58:47
The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder,
in cubic units?
2x
O4x?
О2лх
O x2 + 2x
O 2 + x

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

Answer: (x2 - x - 1) • (2x + 1)

Step-by-step explanation:

((2x3 - x2) - 3x) - 1

STEP

2

:

Checking for a perfect cube

2.1 2x3-x2-3x-1 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: 2x3-x2-3x-1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3x-1

Group 2: 2x3-x2

Pull out from each group separately :

Group 1: (3x+1) • (-1)

Group 2: (2x-1) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = 2x3-x2-3x-1

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 2 and the Trailing Constant is -1.

The factor(s) are:

of the Leading Coefficient : 1,2

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -1.00

-1 2 -0.50 0.00 2x+1

1 1 1.00 -3.00

1 2 0.50 -2.50

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

2x3-x2-3x-1

can be divided with 2x+1

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : 2x3-x2-3x-1

("Dividend")

By : 2x+1 ("Divisor")

dividend 2x3 - x2 - 3x - 1

- divisor * x2 2x3 + x2

remainder - 2x2 - 3x - 1

- divisor * -x1 - 2x2 - x

remainder - 2x - 1

- divisor * -x0 - 2x - 1

remainder 0

Quotient : x2-x-1 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-1

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

(x2 - x - 1) • (2x + 1)

Answer:

B) equilateral triangle

E) acute triangle

Step-by-step explanation:

Answer:

357

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = -3-(-7) =-7-(-11) = 4        A1 =  -11

when : n =93 you have the  93rd term  A93

so : A93 = -11 +(93-1)(4)

A93 = 357

Answer and Step-by-step explanation:

The answer is A. 0.

This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)

No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.

#teamtrees #PAW (Plant And Water)

Ramadan Mubarak

Answer:

Angle A measures 80º.

Step-by-step explanation:

Supplementary angles:

Two angles are called supplementary when their measures add to 180º.

In this question:

Angle A measures 7x + 3

Angle B measures 7x + 23

Since they are supplementary:

[tex]A + B = 180[/tex]

[tex]7x + 3 + 7x + 23 = 180[/tex]

[tex]14x + 26 = 180[/tex]

[tex]14x = 154[/tex]

[tex]x = \frac{154}{14}[/tex]

[tex]x = 11[/tex]

Measure of Angle A:

Since x = 11

7*11 + 3 = 77 + 3 = 80º

Angle A measures 80º.

Answer: It would be 410 meters below sea level.

→Pikachu I choose u←

Sure, what do you need help with?

Answer:

The answer would be D

Step-by-step explanation:

X = 3.9 *10^7 - 1.3 * 10^6

X= 3.7 * 10^7

Answer:

Distance between points = 8.6

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(−2−−9)2+(−6−−1)2(-2--9)2+(-6--1)2

= √72+(−5)272+(-5)2

= √49+2549+25

= √7474 = 8.6023

Distance between points (-9, -1) and (-2, -6) is 8.6023

Answer:

There is a 1-a ​chance, where a is the complement of the confidence​ level, that the true value of p will fall in the confidence interval produced from our sample.  ( B )

Step-by-step explanation:

Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence

There is a 1-a ​chance, where a is the complement of the confidence​ level, that the true value of p will fall in the confidence interval produced from our sample Is a complete misinterpretation of the confidence interval therefore it is NOT true

Answer:

11,401 I think!!! if not please say

Answer:

U can divide or multiply

Step-by-step explanation:

Answer:

Between the deductible and the two x-rays, the customer will have to pay $648 in total for the two x-rays.

Step-by-step explanation:

Given that, with a certain medical insurance policy, the customer must first pay an annual $ 150 deductible, and then the policy covers 70% of the cost of x-rays, and the first x-ray cost $ 680, and the second x-ray cost $ 980, to determine how much in total you will need to pay for these x-rays, the following calculation must be performed:

150 + (0.3 x 680) + (0.3 x 980) = X

150 + 204 + 294 = X

648 = X

Thus, between the deductible and the two x-rays, the customer will have to pay $ 648 in total for the two x-rays.

Answer:

Step-by-step explanation:

9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)

    -8.8 + 2.2(1.9x) = 0.66x - 2.64

    -8.8 + 4.18x = 0.66x - 2.64

     4.18x - 0.66x = 8.8 - 2.64

     3.52x = 6.16

     x = 1.75

10). 3.2(1 + 2.6x) = 2.4(x - 3.6)

     3.2 + 8.32x = 2.4x - 8.64

     8.32x - 2.4x = -3.2 - 8.64

     5.92x = -11.84

      x = 2

11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)

     9.2x - 25.3 = 3.9 + 0.8 + 4.4x

     9.2x - 25.3 = 4.7 + 4.4x

     9.2x - 4.4x = 25.3 + 4.7

     4.8x = 30

      x = 6.25

12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)

     0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10

     0.6x - 4.4 = -2.2x + 15.90

     0.6x + 2.2x = 15.90 + 4.4

     2.8x = 20.30

     x = 7.25

Answer:

Step-by-step explanation:

Answer:

A = 66.7 in²

Step-by-step explanation:

The shaded sections of the trapezoid are right triangles.

Therefore the area of the shaded sections = the area of the two triangles

Area of a triangle = ½*bh

✔️Area of the first triangle with the following dimensions:

b = 8 in

h = 9.2 in

Area = ½*8*9.2 = 4*9.2 = 36.8 in²

✔️Area of the second triangle with the following dimensions:

b = 6.5 in

h = 9.2 in

Area = ½*6.5*9.2

= 29.9 in²

✔️Area of the shaded sections = 36.8 + 29.9 = 66.7 in²

Answer:

Step-by-step explanation:

They are not equivalent

When t = 2

Answer:

They are not Equivalent.

Step-by-step explanation:

You can tell that they aren't by doing that equations.

13t-3t=10t

3t-13t=-10t

If you were to inert 2 into t's , spot, it still would not work.

13(2)-3(2), 26-6=20

3(2)-13(2), 6-26=-20

Answer:

1) 49 degrees

2) It is a trapezoid

Step-by-step explanation:

1) the angles of a quadrilateral are 360 degrees, 78 + 102 + 132 + ? = 360

312 + ? = 360

? = 48

Answer:

0ft and 60ft

Step-by-step explanation:

Given

The attached function

Required

Determine the valid values of the domain of the function

To do this, we simply consider the starting point and the end point of the trajectory on the x-axis (i.e. the horizontal distance).

From the attached graph, the horizontal distance starts from 0 and ends at 180.

This implies that the domain is: [tex]0 \le x \le 180[/tex]

From the options, the values that fall in this bracket are 0ft and 60ft

Answer:

The answer is D i.e an=34-4n

Answer:

an=34−4n

Step-by-step explanation:

Answer:

Shopping malls are replacing small shops

Long Answer:

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.

Short Answer:

Yes

Answer:

The total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Step-by-step explanation:

Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).

To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Proof -

The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question

Now,

As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen

So,

The number of ways = 1* ⁹⁹P₃

                                  = [tex]\frac{99!}{(99-3)!}[/tex]

                                  = [tex]\frac{99!}{96!}[/tex]

                                  = [tex]\frac{99*98*97*96!}{96}[/tex]

                                  = 99*98*97

                                 = 941,094

∴ we get

Total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Answer:

1) NO

2) YES

3) YES

4) YES

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

The condition for a function is that each element in the domain can be mapped into only one element in the range.

(Or each input can be mapped into only one output).

Now let's apply this theory to the exercises here.

In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.

Also remember that in the point notation (x, y) the first value is the input and the second is the output.

1)

Here we can see the points (-1, 5) and (-1, 2)

So the input -1 is mapped into two different outputs, 5 and 2.

This means that this is not a function.

2)

In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.

3)

Again, here we can see that each input is being mapped into only one output, then this is a function.

4)

In a graph, the horizontal position represents the input value and the vertical position represents the output value.

One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.

In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.