what could tara have written as the result from step 2?

Answer:

C

Step-by-step explanation:

noting that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(-1)(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]

= 4i[tex]\sqrt{5}[/tex] → C

The square root of -80, expressed in simplest terms, is 4i sqrt 5, where 'i' is the imaginary unit.So,option C is correct.

To express the square root of -80 in its simplest terms, we need to use the imaginary unit i, which is defined as the square root of -1. We can rewrite -80 as -1  imes 80, and thus the square root of -80 as the square root of -1 times the square root of 80. We know that the square root of -1 is i, and the square root of 80 can be simplified to the square root of 16 times the square root of 5, which is 4 times the square root of 5. Combining these, we get:
√-80 = √(-1 times 80)
      = √-1 times √80
      = i times 4√5
      = 4i√5.

The correct answer is C- 4i sqrt 5.

Answer:

The answer on edge is

A. the addition property of equality

D. the substitution property of equality

Step-by-step explanation:

cause its the answer

Answer:

optioc C [tex]10^{2}[/tex]

Step-by-step explanation:

we know that

Hecto (h) is a decimal unit prefix in the metric system denoting a factor of one hundred

so

[tex]h=100=10^{2}[/tex]

the answer would be B

Answer: Option B.

Step-by-step explanation:

Descompose the denominator of each fraction into its corresponding prime factors. Then:

[tex]2=2*1\\8=2*2*2=2^3\\10=2*5[/tex]

Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.

Finally you need to multiply them to get that the Least common denominator of [tex]\frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10}[/tex] is. Therefore, this is:

[tex]LCD=2^3*1*5\\LCD=40[/tex]

This matches with the option B.

Answer: First Option

[tex]y + x = 5[/tex]

Step-by-step explanation:

The linear functions have the following form

[tex]ax ^ n + bx ^ m = c[/tex]

Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.

[tex]m=n=1[/tex]

In other words, the linear equations have the form

[tex]ax + by = c[/tex]

Identify among the options the functions that have this form

[tex]y + x = 5[/tex] is a linear function with [tex]a = 1[/tex], [tex]b = 1[/tex], [tex]c = 5[/tex]  and  [tex]m=n=1[/tex]

[tex]y + x^2 = -2[/tex] is not a linear function because [tex]n\neq 1[/tex].

[tex]y = 2x^3 + 1[/tex] is not a linear function because [tex]n\neq 1[/tex]

[tex]3x^2 + y^2 = -4[/tex] is not a linear function because [tex]n\neq 1[/tex] and [tex]m\neq 1[/tex]

Answer:

y + x = 5

Step-by-step explanation:

The graph of [tex]y+x=5[/tex] is a straight line

The graph of [tex]y+x^2=-2[/tex] is a parabola.

The graph of [tex]y=2x^3+1[/tex] is a non-linear curve.

The graph of

[tex]3x^2+y^2=-4[/tex] is an ellipse.

A graph of a linear function  is a straight line.

Therefore y + x = 5 is the correct choice.

Answer: F. The Theoretical Probability is Greater than the Experimental Probability.

Step-by-step explanation: Theoretical probability gives you the odds of every outcome. With flipping a coin, the outcome odds of tails would always be 1/2. Experimental probability is the actual outcome that results from trials. During trials, tails was flipped 8 times. We can simplify 8/20 flips to find that tails was flipped 2/5 flips. In decimal form, 1/2 simbolizes .5 or 50%. 2/5 simbolizes .4 or 40%. The theoretical probability is greater than the experimental probability.

Katrina earned approximately $147.95 that day.

To calculate how much money Katrina earned in one day, we need to take into account her hourly wage as well as her commission from sales. The first part is straightforward: She works 11 hours at an hourly rate of $9.25. To find this portion of her earnings, we multiply the number of hours by her hourly rate:

11 hours * $9.25 per hour = $101.75

Next, we calculate the commission from her sales. Katrina made $385 in sales and gets a 12% commission on these sales:

12% of $385 = 0.12 * $385 = $46.20

To find Katrina's total earnings for the day, we add her hourly earnings to her commission earnings:

$101.75 (hourly earnings) + $46.20 (commission) = $147.95

Therefore, Katrina earned approximately $147.95 that day

Answer:

The correct answer is B.

X=0 and x=-4 is the answer.

6(0)^2=0+24(0)=0

(6(-4)^2= 96) + (24(-4)=-96)=0.

Hope this helps and hope you have a great day and brainiest is always appreciated

Answer:

Solutions are x =0 and x= -4

Second option is correct.

Step-by-step explanation:

The given quadratic equation is [tex]6x^2+24x=0[/tex]

Factored out GCF

[tex]6x(x+4)=0[/tex]

Apply the Zero product property

[tex]6x=0,x+4=0[/tex]

Solve for x

[tex]x=0,x=-4[/tex]

Therefore, the solutions are x =0 and x= -4

Second option is correct.

Answer:

slope = - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x + 3 ← is in slope- intercept form

with slope m = - 6

Answer: -6

Step-by-step explanation:

Ap3x

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]x+3y\leq 6[/tex]

Isolate the variable y

[tex]3y\leq 6-x[/tex]

[tex]y\leq 2-(1/3)x[/tex]

The solution is the shaded area below the solid line

Is below because the symbol of the inequality is less

Is a solid line because the line is included in the solution

The equation of the solid line is [tex]y=2-(1/3)x[/tex]

To graph the solution find the intercepts

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0, x=6 --------> point (6,0)

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0, y=2 -------> point (0,2)

Graph the inequality

see the attached figure

The last option is the answer. x> -4

because as we can see from the number line x is larger than -4 and the dot on the -4 is not filled in so that mean that -4 is not included.

hence the answer is x> -4

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{r})\qquad (\stackrel{x_2}{r}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-r}{r-4}=\stackrel{\stackrel{given}{\downarrow }}{-\cfrac{5}{3}}\implies 3(2-r)=-5(r-4) \\\\\\ 6-3r=-5r+20\implies 6+2r=20\implies 2r=14\implies r=\cfrac{14}{2}\implies r=7[/tex]

Answer:

r = 7

Step-by-step explanation:

looking at the slope -5/3, -5 is the change in y and 3 is the change in x. so, we  have to start from the point ( 4 , r ) and get to the next point ( r , 2 ) by using the given slope. we would first add 3 to our x value in the first point since that's our change in x and we would get r = 7. then we can substitute that in the other point and it works perfectly.

i hope this helps :)

Answer:

The correct function should be  f(x) = 3^(x + 3).

A function assigns the values. The function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

A function assigns the value of each element of one set to the other specific element of another set.

The function that can represent the graph below can be found by plotting the function on the calculator.

f(x) = 3ˣ – 3  ⇒ Black

f(x) = 3⁽ˣ⁺³⁾  ⇒ Red

f(x) = 3ˣ  ⇒ Blue

f(x) = 3ˣ + 3  ⇒ Green

Hence, the function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

Learn more about Function:

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Answer:

{3,5,6,7}

Step-by-step explanation:

We need only to pick numbers from 2 sums, A and B, together

The union of the two sets is:

A U B = {3, 5, 6, 7, 8, 11, 12}.

Option D is the correct answer.

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

The union of two sets A and B, denoted as A U B, is the set that contains all elements that are in either set A or set B or in both.

To find A U B, we combine the elements of both sets and remove any duplicates.

A = {3, 5, 6, 7}

B = {6, 7, 8, 11, 12}

To find A U B, we combine the elements of both sets:

A U B = {3, 5, 6, 7, 8, 11, 12}

Therefore,

A U B = {3, 5, 6, 7, 8, 11, 12}.

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The complete question.

A = {3, 5, 6, 7}
B = {6, 7, 8, 11, 12}

Answer:

it is 6.66

Step-by-step explanation:

The mode is the most frequently occurring value in a data set and is used to find the most repeated data. A data set can be bimodal if it has two modes. So the statement is true.

The statement is true: the mode is used to ascertain the most repeated data in the data set. It is a measure of central tendency that represents the value that occurs most frequently within a set of numbers. If a data set has two modes, it is referred to as bimodal. The mode can be especially useful for understanding the distribution of qualitative or categorical data.

Answer:

This can't be factored right now! But if it is 2z^2+12z+10=0 than it will be factored like this:

2*(z+5)(z+1)

Step-by-step explanation:

2*(z^2+6z+5)=0

2*(z+5)(z+1)

[tex]2x^2-12z+10=0[/tex]

Common multiple is 2.

[tex]2(z^2-6z+5)=0[/tex]

Simplify inside parentheses.

[tex]2(z-5)(z-1)=0[/tex] is your answer

Answer:

{π/4, 5π/4}

Step-by-step explanation:

Tan theta -1=0 could be rewritten as tan Ф = 1.  The tangent function is 1 at Ф = π/4.  As the period of the tangent function is π,

tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.

The solution set is {π/4, 5π/4}.

The solutions of the given equation are -1, 0, -2, 0, -2 for the values of θ in the interval [0, 2π) respectively.

A tangent of an angle is defined as the ratio of the sine of the angle to the cosine of the angle.

tan θ = (sin θ)/(cos θ)

The given equation is

tan θ - 1 =0

solving for the values in between [0, 2π)

In this interval, the possible values for θ(in the case of tan) are 0, π/4, 3π/4, 5π/4, and 7π/4.

So, the solutions are:

for θ = 0,

⇒ tan (0) - 1 = -1

for θ = π/4,

⇒ tan(π/4) - 1 = 0

for θ = 3π/4,

⇒ tan(3π/4) - 1 = -2

for θ = 5π/4,

⇒ tan(5π/4) - 1 = 0

for θ = 7π/4,

⇒ tan(7π/4) - 1 = -2

Thus, the solution set for the given equation in the interval [0, 2π) is {-1, 0, -2, 0, -2}

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Answer:

1.

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

2.

[tex]at^2=2(vt-d)[/tex]

3.

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

Step-by-step explanation:

First, express from the formula [tex]d=vt-\dfrac{1}{2}at^2[/tex] the term [tex]\dfrac{1}{2}at^2:[/tex]

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

Now multiply this equation by 2:

[tex]at^2=2(vt-d)[/tex]

and divide it by [tex]t^2:[/tex]

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

Answer:

9.19

Step-by-step explanation:

Using Law of sines to find other two lengths:

a/sinA=b/sinB

let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45

a/sin45=13/sin90

a=13sin45

a=13(0.707)

  =9.19

As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !

Answer:None of the above it would have to be that's what he pays in 9 months

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Akash is paying $79.99 each month for 3 months.  239.97 is the result of that, so there would be 239.97 less in his checking account.  

Answer:

I believe it is A. Truly sorry if I am incorrect.

Step-by-step explanation:

I used an online calculator.

The CORRECT answer is B

Answer:

A+P=15 or B

Step-by-step explanation:

Trust me u son of a gun. Alexa, play the one song with those guys in paris

The correct statements about any regular polygon are:

What is true about the regular polygon

A regular polygon is convex, meaning all its interior angles are less than 180 degrees.

Its sides are straight line segments.

In a regular polygon, all sides are of equal length (congruent).

Regular polygons have congruent interior angles, meaning all angles within the polygon are equal in measure.

[tex]\bf \sqrt{6x^2}\cdot \sqrt{18x^2}\implies \sqrt{(6x^2)(18x^2)}\implies \sqrt{108x^2x^2}\implies \sqrt{108(x^2)^2} \\\\\\ \begin{cases} 108=&2\cdot 2\cdot 3\cdot 3\cdot 3\\ &2^2\cdot 3^2\cdot 3\\ &(2\cdot 3)^2\cdot 3\\ &6^2\cdot 3 \end{cases}\implies \sqrt{6^2(x^2)^2\cdot 3}\implies 6x^2\sqrt{3}[/tex]

Answer:

the correct answer is option D. 6x²√3

Step-by-step explanation:

It is given that

√6x² * √18x²

To find the value of √6x² * √18x²

√6x² * √18x² = √(6x² ) * (18x²)

 = √(6 * 18 x² *x²)

 = √(6 * 6 * 3 x² *x²)

 = 6x√3

The equivalent of √6x² * √18x² =   6x²√3

Therefore the correct answer is option D.   6x²√3

Answer:

4

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

f(x) = [tex]16^{\frac{1}{2} }[/tex] = [tex]\sqrt{16}[/tex] = 4

Answer:

f(1/2) = 4

Step-by-step explanation:

f(1/2) has the meaning of wherever you see x on the right hand side, you put in 1/2.

f(1/2) = 16^(1/2) = sqrt(16) [A power of 1/2 is a square root]

f(1/2) = 4

Answer: 4

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × ([tex]\frac{60}{6(5)}[/tex]) - 1

= 5 × ([tex]\frac{60}{30}[/tex]) - 1

= (5 × 2)  - 1

= 10 - 1

= 9 → C

Answer:

350

Step-by-step explanation:

771=x+x+71   (x+71 is kids,x is adults)

2x=700

x=350

To find out how many adult tickets were sold, we set up equations based on the given information: total tickets and the difference between student and adult tickets. By solving these equations, we determined that 350 adult tickets were sold.

The question involves determining how many adult tickets were sold for a school play, given that a total of 771 tickets were sold and there were 71 more student tickets than adult tickets. To solve this, we can set up an equation to represent the situation.

Let A represent the number of adult tickets and S represent the number of student tickets. We know that:

Substituting the second equation into the first gives us A + (A + 71) = 771.

Simplifying, we get 2A + 71 = 771.

Subtracting 71 from both sides gives us 2A = 700.

Dividing both sides by 2 gives us A = 350.

Therefore, 350 adult tickets were sold for the school play

Answer:    3/72, but read the explanantion!

Step-by-step explanation: Since we are trying to find 1/9 of 3/8, which is division, we use the method K, C , F

KCF stands for keep, change, flip.

1/9     (keep)             =                1/9

divided by (change) =        multiplied by

3/8 (flip)                    =                8/3

You then proceed with simple multiplication.

1/9*3/8= 3/72

3/72= 4.1666......

Hope this helps!!

Answer:

1/24

Step-by-step explanation:

Multiply:

1     3       1

--- * --- = -----

9    8      24