first off thanks to the ppl who answered before 2nd off i need help again

First, I'm going to separate factor the expression inside of the square root.

sqrt[ (2/18) * (x^5) ]

sqrt[ (1/9) * (x^5) ]

We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.

Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.

ANSWER: (x^2 * sqrt(x)) / 3

(Option 1)

Hope this helps!

9514 1404 393

Answer:

  C.  h ≥ 1.9 in

Step-by-step explanation:

As the final step, divide both sides of the inequality by 5.3:

  (5.3h)/5.3 ≥ 10/5.3

  h ≥ 1.9

Answer:

1540

Step-by-step explanation:

To figure out the answer you must compute 22 choose 3. To compute this, we can plug the values into the Combination formula, which goes like this:

[tex]\frac{n!}{r!(n-r)!}[/tex], where n is the sample size, and r is the amount being chosen. In this case, n is equal to the total 22 players, and r is the 3 players being chosen to fill the bottles. Plugging the values in, we have the answer as

[tex]\frac{22!}{3!(22-3)!}[/tex]. 22 minus 3 simplifies to 19 factorial, and we can expand 22 factorial out from the numerator.

[tex]\frac{22(21)(20)(19!)}{3!(19!)}[/tex]

We can get rid of the 19 factorial from both the numerator and the denominator, and we are left with

[tex]\frac{22(21)(20)}{3(2)}[/tex]

We can cancel out the 3 with the 3 in 21, and we can cancel out the 2 with the 2 in 20. We are left with

[tex]22(7)(10)[/tex]

7 times 10 is equal to 70, and 70 times 22 is equal to 1540 total combinations.

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Answer:

  B. 73.5 in²

Step-by-step explanation:

The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:

  A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²

Answer:

B.) 73.5 in2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

x⁵/³y

Step-by-step explanation:

x⁵/³y is equivalent to ³✓x⁵y.

Answer:

I believe the answer is  d = 32

Step-by-step explanation:

You should isolate the radical, then raise each side of the equation to the power of its index.

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Answer:

  d = 32

Step-by-step explanation:

Add 4, then square, and solve the resulting linear equation.

  √(7d +1) = 15

  7d +1 = 225 . . . . . . square both sides

  7d = 224 . . . . . . . . subtract 1

  d = 32 . . . . . . . . . . divide by 7

the value of Zis 8.

Z =2^3=8

Now we have to,

find the required value of Z.

→ Z = 2^3

→ [Z = 8]

Therefore, value of Z is 8.

Answer:

next term is 3

Step-by-step explanation:

[tex]f(n+1)=-2f(n)\\\\f(1)=-1.5=-\frac{3}{2}f(2)=-2f(1)=-2*(-\frac{3}{2})=3[/tex]

Answer:

3

Step-by-step explanation:

Took the test and got this right.

Answer:

the answer is 24

Step-by-step explanation:

you need to add all the number above

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Answer:

Step-by-step explanation:

We have used the formula shown in Go.ogle Sheets to give the results shown. (We presume Excel has a similar function.)

The result is that the future value of the investment is $113,907.92.

The amount deposited is ($150/mo)(12 mo/yr)(30 yr) = $54,000.

The interest earned is the difference: $113,907.92 -54,000 = $59,907.92.

Answer:

1. x = 2, 3

2. x = -0.607007

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

1.

Step 1: Define

x² - 5x + 6

Step 2: Solve for x

2.

Step 1: Define

Identify

4x³ - 3x² + 2

Step 2: Graph

See Attachment

Step 3: Solve for x

Where the graph crosses the x-axis would be the solution to the polynomial.

x = -0.607

1:

x=2,3

2:

x≈−0.60700729

Answer:

Polynomials are expressions with one or more terms with a non-zero coefficient. A polynomial can have more than one term. In the polynomial, each expression in it is called a term.

Solution given:

1:x²-5x+6

let

f(x)=x²-5x+6

It is polynomial in one variable x

According to definition of variable

f(x)=0

substituting value of f(x)

x²-5x+6=0

Doing middle term factorisation

6=3*2*1

remember that in front of constant term is positive sigh

so we need to add factor of 6 to get 5

I.e. 3+2=5

substituting (3+2) in place of 5

x²-(3+2)x+6=0

x²-3x-2x+6=0

taking common from each two term

x(x-3)-2(x-3)=0

again taking common

(x-3)(x-2)=0

either

x-3=0

or

x-2=0

2:

4x³-3x²+2

let

f(x)=4x³-3x²+2

It is polynomial in one variable x.

According to definition of variable

f(x)=0

we cannot solve it by factoring so solving by graph

Graph is in attachment.

The solution is the x-value of the point of intersection.

x≈−0.60700729

Answer:

c= none of the above

Step-by-step explanation:

-3x- 6/10

This has two separate terms, a term with a variable

-3x  and a term with a constant -6/10

A=3/6x1/10  This has only one term

b=- 3/10x-6  This has a different x term -3/10  which is not -3

c= none of the above

Answer:

7.5

Step-by-step explanation:

The mode is the number that appears most frequently in the set

The number 7.5 appears 3 times which is the most out of all of the numbers, therefore the mode is 7.5

Answer:

y = 5x + 23

Step-by-step explanation:

y2 - y1 / x2 - x1

8 - (-2) / -3 - (-5)

10 / 2

= 5

y = 5x + b

-2 = 5(-5) + b

-2 = -25 + b

23 = b

Answer:

$1487.50

Step-by-step explanation:

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Answer:

  $1487.50

Step-by-step explanation:

The amount of interest due is ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...

  I = $1400×0.125×1/2 = $87.50

The total amount due is the sum of the loan amount and the interest:

  due = $1400 +87.50 = $1487.50

The total amount due after 60 months is $1487.50.

Answer:

-1

Step-by-step explanation:

I solved it the way one-variable equations are solved.

Answer:

-1 is ur answer

Step-by-step explanation:

Answer:

The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]

BC=[tex]7\sqrt{3}[/tex]

again

In right angled triangle BCD

Using Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]

Doing criss cross multiplication

[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]

x=[tex]\frac{7\sqrt{6}}{2}[/tex]

Answer:

y= x^2 + 8

Step-by-step explanation:

x square rooted is x^2 and shifted up 8 unit probably means that it wants the y-intercept to be 8.

its full form is portable document format

Answer:

7x^2 -35x +7

Step-by-step explanation:

7(x^2 – 5x + 1)

Distribute

7x^2 -7*5x +7*1

7x^2 -35x +7

Answer:

1320 ways

Step-by-step explanation:

Number of contestants = 12

Positions that are n be awarded = First, Second, Third

Number of contestants who could be first = 12 (all 12 contestants)

Number of contestants who could be second = 11 (all 12 contestants - first)

Number of contestants who could be third = 10 (all 12 contestants - first and second )

The number of ways prices can be given :

(1st * 2nd * 3rd) = 12 * 11 * 10 = 1320 ways

Answer:

B) 399

Step-by-step explanation:

We want to find the sum of the arithmetic series given that:

[tex]a_1=9, \, d = 3, \text{ and } n = 14[/tex]

In other words, we want to find the sum of the first 14 terms of the series when the first term is 9 and the common difference is 3.

Recall that the sum of an arithmetic series is given by:

[tex]\displaystyle S = \frac{n}{2}\left(a + x_n\right)[/tex]

Where n is the amount of terms, a is the first term, and xₙ is the nth or last term.

We will need to find the last term. We can write a direct formula. The general form of a direct formula is given by:

[tex]x_n=a+d(n-1)[/tex]

Since the initial term is 9 and the common difference is 3:

[tex]x_n=9+3(n-1)[/tex]

Then the 14th or last term is:

[tex]\displaystyle x_{14}=9+3((14)-1)=9+39=48[/tex]

Then the sum of the first 14 terms is:

[tex]\displaystyle \begin{aligned} S_{14} &= \frac{14}{2}\left(9+48\right) \\ \\ &= 7(57) \\ \\ &= 399\end{aligned}[/tex]

Our answer is B.

Answer:

Simple random sampling

Step-by-step explanation:

Every element of the population does have an equal probability of getting chosen in a basic random sampling. The entire population should be included in your sample frame. To conduct this sort of sampling, technologies such as random numbers or other approaches relying completely on chance can be used.

Answer:

2,344.32 units

Step-by-step explanation:

the area = 8× ½× 16 × 36.63

= 2,344.32 units

Step-by-step explanation:

use trigonometry ratios

Answer:

2

Step-by-step explanation:

Answer: [tex]17.5t[/tex]

Step-by-step explanation:

Given

Speed of boat A is [tex]v_a=9\ mi/hr[/tex]

Speed of boat B is [tex]v_b=15\ mi/hr[/tex]

Both are moving perpendicular to each other

Distance traveled by Boat A [tex]x_a=9t[/tex]

Distance traveled by Boat B [tex]x_b=15t[/tex]

Distance between them is given by Pythagoras theorem

[tex]\Rightarrow d^2=(x_a)^2+(x_b)^2\\\\\Rightarrow d^2=(9t)^2+(15t)^2\\\\\Rightarrow d=\sqrt{(9t)^2+(15t)^2}\\\\\Rightarrow d=\sqrt{81t^2+225t^2}\\\\\Rightarrow d=\sqrt{306t^2}\\\\\Rightarrow d=17.49t\approx 17.5t\ \text{miles}[/tex]

Distance between them is [tex]17.5t[/tex]

Answer:

B

Step-by-step explanation:

The square root function's graph is graph (b). This makes logical sense, because, when taking the square root (the principal root in particular), a general rule is that both the input and the output must be positive. Moreover, if one were to create a table of values to find points on the graph of the function, each of the points can be found on graph (b).

[tex]f(x)=\sqrt{x}[/tex]

x         y

1          1

4         2

9         3

16        4

Therefore graph (B) is the correct answer.

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Answer:

Step-by-step explanation:

The attache graph shows the solution region is bounded by lines through the points (-2, 4), (6, 0), and (3, -6).

The solution (x, y) = (-2, 4) gives the maximum value of z: 16.

The solution (x, y) = (3, -6) gives the minimum value of z: -24.