if log3 8 ≈1.8928, evaluate log3 72

Answer:

Her usual speed is 5 miles an hour.

Step-by-step explanation:

Since it takes one hour for her to run ten miles that means she is running at 10 miles an hour. So if you divide that by 2 it would be five.

Answer:

5x-2x

///////////////

Step-by-step explanation:

Answer:

[tex]5x-2x[/tex]

Step-by-step explanation:

Let's call that number [tex]x[/tex].

when we are asked for a difference we must substract quantities.

In this case we need the difference between five times a number  (the number is represented by [tex]x[/tex]) and twice that number:

five times the number x is equal to

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

twice that number x is equal to:

[tex]x+x=2x[/tex]

thus, the difference is: [tex]5x-2x[/tex]

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

(n-1)^2 = n^2 +1 -2n so the third option form top down

Answer:

n² - 2n + 1

Step-by-step explanation:

You are to square;

(n - 1)²

This is the same as,

(n - 1)(n - 1)

Multiplying the above we get;

n² - n - n + 1

Finally,

n² - 2n + 1

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:    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

i’m sorry this isn’t an answer but hat kind of people play a game like that?

Answer: John is thinking of the number 20

please rate my answer

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:

{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}

Ok I got it.

Question 1 - Demetrius, Jackson, Tyler, and Amelia

Question 2 - Winslow

Question 3 - Joe

Question 4 - Harley and Jasmine

Question 5 - No one recieves fifteen minutes of free time

I hurried this one because Imma go see avengers endgame.

I hope this helps you very much.

I would appreciate making me the brainliest.

Thanks in advance

Answer is C: (-∞, ∞)

Answer:

Step-by-step explanation:

There is no restriction on the input values of x , since it is periodic it can have any real value. Hence the domain of cos (2x) is (-∞,∞).

Because cos is periodic the output value keeps on repeating for any smaller or bigger input x .

[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:

it is 6.66

Step-by-step explanation:

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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72 square inches.

Start by finding the dimensions of the scale drawing. If 36 divided by a number equals 9, then that number is 4. 36 / 4 = 9

So, you need to divide 32 by 4 as well to get 8.

This means the scale drawing is 9 inches long and 8 inches wide.

Finally, to find the area, multiply the length and width together. 9 * 8 = 72

The area of the scale drawing is 72 square inches.

Answer:

Standard form of 245.5 cm - 20 cm

=225.5 cm

Answer:

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Step-by-step explanation:

The two equations Jelani wrote are:

12s+10a=128

16s+21a=232

The coefficient matrix is:

[tex]\left[\begin{array}{cc}12&10\\16&21\end{array}\right][/tex]

The constant matrix is:

[tex]\binom{128}{232}[/tex]

The augmented matrix is the combination of the coefficient matrix and the constant matrix.

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}ax+by=n\\cx+dy=m\end{array}\right\Rightarrow\left[\begin{array}{ccc}a&b&n\\c&d&m\end{array}\right][/tex]

[tex]\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}12s+10a=128\\16s+21a=232\end{array}\right\Rightarrow\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right][/tex]

The answer is B.$28,665!!

Answer:

C

Step-by-step explanation: 17 percent of 24500 is 4165 so 24500 plus 4165 is 28665, therefore the answer is C

mark me brainliest if this is right :)

Answer:

The substitution is

[tex]u = x ^ 4[/tex]

[tex]u ^ 2 -3u +2 = 0[/tex]

Step-by-step explanation:

We have the 8th degree polynomial equation

[tex]x ^ 8 - 3x^4 -+2 = 0[/tex]

To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is [tex]x ^ 4[/tex].

Now make a change of variable

[tex]u = x ^ 4[/tex].

So rewriting the equation in terms of u, we have:

[tex]u ^ 2 -3u +2 = 0[/tex]

Now the initial equation became a quadratic equation

Factoring is left:

[tex](u-2) (u-1) = 0[/tex]

[tex]u = 2[/tex] and [tex]u = 1[/tex]

[tex]x ^ 4 = 2[/tex] and [tex]x ^ 4 = 1[/tex]

Answer:

substitution should be p =  x⁴

Step-by-step explanation:

It is given that,

x⁸ -  3x⁴ + 2 = 0

we can rewrite the equation,

(x⁴)² - 3x⁴ + 2 =0

To find the substitution

Here we can see that x⁴ is common in two terms of the given equation

we can substitute p instead of x⁴, the equation becomes,

p² - 3p +2 = 0

Therefore substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation is p =  x⁴

Answer:

300+4x < (9+5)*x

Step-by-step explanation:

x is number of times Robert goes to the gym

Answer:

5d+ 9d=300+4d

Step-by-step explanation:

Answer on EDGE

data:

2 scored 100

9 scored 95

10 scored 90

3 scored 80

1 scored 70

set of data:

70, 80, 80, 80, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 95, 95, 95, 95, 95, 95, 95, 95, 95, 100, 100

to find the average score of the spelling test, we have to add all of the numbers up and then divide by 2

all of those numbers added up would be 2,265

next, divide 2,265 by 2

2,265 / 2 = 1,132.5

finally, round 1,132.5

= 1,133 (average score of spelling test)

A class of 25 students took a spelling test. The average score of the students on the spelling test is 90.6.

The average data is calculated as follows:

Given that,

A class of 25 students took a spelling test.

The data of scores of those students:

2 students - 100

9 students - 95

10 students - 90

3 students - 80

1 student - 70

Adding all the scores of each student:

2×100 + 9×95 + 10×90 + 3×80 + 1×70 = 2265

Dividing the sum by the number of students (25):

⇒ 2265/25

⇒ 90.6

Therefore, the average of the given data is 90.6.

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Answer:

1/5

Step-by-step explanation:

You expect to get 12 red marbles out of 60 trials.

So, you expect to get a red marbles 12/60 of the times.

We can simplify that 12/60 to 1/5, which is a choice of answers. :-)

We assume here you correctly assume your probability level when you did your forecast of 12/60.  And either you're picking from a small pool and re-insert the marble, or you have a very large amount of marbles (at least 60).

[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:

the answer is 50 percent

Step-by-step explanation:because each of the lines count as 25% and the blue boxes are another 25% each.  so the answer is 50%

I don’t know what the answer is I wish I could help

Answer: $2250

Step-by-step explanation: (2500x.06)=150

150x15=2250

Answer:

I think you want the monthly payment.  (Equation is attached).

Monthly Payment equals 21.10

If you are looking for the total interest paid then we need the

Total Loan Cost Formula. (attached)

The monthly loan rate is .06 / 12 = .005 and

number of payments = 12 months * 15 years = 180

Total Cost = .005 * 2,500 * 180 / 1 -(1.005)^-180

= 3,797.36

Total Cost  3,797.36

Minus Principal 2,500

Equals total interest paid = 1,297.36

Step-by-step explanation:

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:

218°

Step-by-step explanation:

We are given that arc AD is 128° and arc AB is 90°, because the measure of an arc is equal to its corresponding central angle, and ∠APB = 90°, since right angles are 90°.

Also, arc DAB combines arc AD and AB. That means that we add the measures. 90 + 128 = 218°

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⁾.

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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:

5. LA = 301.6 sq. cm.,  SA = 402.1 sq. cm.

6. LA = 377.0 sq. in.,  SA = 603.2 sq. in.

7.  LA = 113.1 sq. cm.,  SA = 169.6 sq. cm.

8. LA = 502.7 sq. cm.,  SA = 603.2 sq. cm.

9. 396 sq. in.

Step-by-step explanation:

The lateral area is the area of all the faces, except the base(s). The surface area is the area of ALL the faces of the shape.

5.

The lateral area of a cylinder is given by the formula:

LA = 2πrh

where r is the radius and h is the height of the cylinder

So, lateral area would be 2π(4)(12) = 301.6 sq. cm.

The surface are would be the lateral area (301.6) PLUS the area of 2 of the circular bases. Circle has an area of πr^2.

So 2 bases would have area of (π(4)^2)*2=100.5

Thus, the surface area = 301.6 + 100.5 = 402.1

6.

The lateral area would be LA = 2πrh

The radius is given as 6 and height as 10. Plugging it would give us:

LA = 2πrh = 2π(6)(10) = 377.0 sq. in.

For the surface area, we would need to add the top and bottom (which are 2 identical circles with area πr^2 each) with the lateral area. So we have:

2 * (π(6)^2)

=226.2

Surface area = 377.0 + 226.2 = 603.2 sq. in.

7.

The radius of the cylinder is 3 and height is 6. We will plug them into the respective formulas.

lateral area:

LA = 2πrh = 2π(3)(6) = 113.1

surface area:

area of 2 circles (top and bottom) = (πr^2)*2 = (π(3)^2)*2 = 56.5

Surface area = 113.1 + 56.5 = 169.6

8.

diameter is given as 8, so radius is half of it. Hence, radius is 4 and height given as 20.

Plugging these values into the respective formula we will get the answer.

lateral area:

LA = 2πrh = 2π(4)(20) = 502.7

surface area:

area of both the circles (top and bottom) PLUS the lateral area of 502.7.

So, surface area = 502.7 + (πr^2)*2 = 502.7 + (π(4)^2)*2 = 603.2  

9.

The frosting area of area of two rectangles (left and right) + area of two rectangles (back and front) + area of rectangle (top).

So, surface area of the frosting part = 2 (4*15) + 2(4*12) + (12)(15) = 396