What is 5 to the fith power

Answer:

142 degrees

Step-by-step explanation:

Since LON is 180 degrees...

9x - 91 + 6x + 76 = 180

15x - 15 = 180

15x = 165

x = 11

MON = 6(11) + 76

MON = 66 + 76

MON = 142

Answer:

The measure of angle k is (1/2)(140°) = 70°.

Answer:

520

Step-by-step explanation:

Is means equals and of means multiply

78 = 15% * W

Change to decimal form

78 = .15 *W

Divide by .15 on each side

78/.15 = .15W/.15

520 = W

Answer:

520

Step-by-step explanation:

78/0.15 = 520

Answer:

16.629

Step-by-step explanation:

Start by setting up the numbers like the first picture. The borrow. To borrow we have to go the whole way over to the 7 since you can't borrow from 0. So the 7 becomes a 6 and the 0 becomes  10. Then the 10 becomes a 9 and the 0 becomes a 10. Then the 10 becomes a 9 and the 3 becomes a 13. Then subtract. Just bring the decimal point down.

Answer:

25 in.

Step-by-step explanation:

Since we know geckos are 2/5 of an Iguana's length, we need to find the length of 1/5.

So if 10 in. is 2/5, 5 in, is 1/5.

Now, since the denominator is 5, we multiply 5 in. by 5.

5x5=25 in.

25 in. is the length of an average Iguana.

Option: A is the correct answer.

The quadratic equation that fits these data is:

            A.   [tex]y=2.09x^2+0.33x+3.06[/tex]

We are given a table of values as:

    x          y

    -4        35

    -3        20

    -2         12

    -1           6

    0           2

     1           6

     2          10

     3          24

     4          38

From the given data values we see that the points follow a parabolic path this means that the line of best fit will has a quadratic equation.

Also, the line that best represents these data points as is done by the regression calculator is:

                A.   [tex]y=2.09x^2+0.33x+3.06[/tex]

Check the picture below.

so if we just find its vertex, we know how many feet it went up by its y-coordinate.

[tex]\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-32}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{64}{2(-32)}~~,~~0-\cfrac{64^2}{4(-32)} \right)\implies \left( \stackrel{\stackrel{\textit{how many}}{\textit{seconds}}}{1}~~,~~\stackrel{\stackrel{\textit{how many feet}}{\textit{it went up}}}{32} \right)[/tex]

Answer:

value of t is greater than equal to -9 / 28.

Step-by-step explanation:

Given Quadratic Polynomial :  tx² + 3x - 7 = 0

Also, It has real solutions.

Standard Quadratic equation, is ax² + bx + c = 0

here, Determinant, D = b² - 4ac

decides nature of the roots.

if D < 0 , roots / solutions are complex

if D = 0 , roots are real and equal.

if D > 0 , roots are real and different.

As given roots are real solutions.

Means Dis either equal to 0 or greater than 0

when D = 0

we have, 3² - 4 × t × (-7) = 0

               9 + 28t = 0

               t = -9 / 28

when D > 0

we have, 3² - 4 × t × (-7) > 0

               9 + 28t > 0

               t > -9 / 28

Therefore, value of t is greater than equal to -9 / 28.

Answer:

2,550

Step-by-step explanation:

3,000 divided by 20 equals 150.

17 multiplied by 150 equals 2,550.

the answer is 2,550 I agree

Answer:

24, 32, 40 can be the lengths of the three sides of a right triangle

Step-by-step explanation:

Pythagoras theorem:

c^2 = a^2 + b^2

40^2 = 1,600

32^2 + 24^2 = 1024 + 576 = 1,600

If the square of the length of the hypotenuse (longest side length)  is equal to the sum of the squares of the lengths of the other two sides then it's a right triangle

So

40^2 = 32^2 + 24^2

1,600 = 1,600

24, 32, 40 can be the lengths of the three sides of a right triangle

Answer:

Step-by-step explanation:

x / 2.25 seconds = 28 times / 12 seconds

multiply by sides by 2.25 seconds

x / 2.25 seconds * 2.25 seconds = 28 times / 12 seconds * 2.25 second

x = 2.3333333  times/ second * 2.25 seconds

x = 5.8333

Answer:

315 times

Step-by-step explanation:

We know that the friend can clap his hands 28 times in 12 seconds. First, we need to know how many times can he clap his hands in 1 second:

To do it we have to divide the times he can clap his hands by the time in seconds:

28/12 = 2.333333

He can clap his hands 2.333333 times in 1 second:

Now we want to know how many times will he clap his hands in 2.25 minutes

We have to change 2.25 minutes into seconds:

1 (minute) = 60 (seconds in 1 minute)

2.25 (minutes) * 60 (seconds in 1 minute) = 135 seconds

After we get the seconds he is going to clap his hands, we have to multiply the times he claps times the seconds:

2.3333333 times * 135 seconds = 315

315 times in 2.25 minutes

For this case we must find the inverse of the following function:

[tex]f (x) = 8 \sqrt {x}[/tex]

For this, we follow the steps below:

We change f (x) to y:

[tex]y = 8 \sqrt {x}[/tex]

We exchange the variables:

[tex]x = 8 \sqrt {y}[/tex]

We solve for y:

[tex]8 \sqrt {y} = x[/tex]

We divide between 8 on both sides of the equation:

[tex]\sqrt {y} = \frac {x} {8}[/tex]

We raise both sides of the equation to the square to remove the root:

[tex]y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}[/tex]

So, the inverse is:[tex]f ^ {- 1} (x) = \frac {x ^ 2} {64}[/tex]

ANswer:

Option C

hence y is 7 ,x is 1/7

hope it helps you

The function can be written as g(x)=(x+15/2)^2 +(-9/4)

Some quadratic equations are difficult to factor and are not presented in a way that enables us to apply the square root property right away. However, by "completing the square," we may transform the quadratic formula into a perfect square trinomial. The square root property is then used to factor the trinomial and answer the equation.

How to Complete the Square in Equations to Solve the Problem

1. Transform the original equation into x2 + bx = c.

2. Add the term required to complete the square to both sides.

3. Factor the trinomial with a perfect square.

4. Apply the square root property to the resulting equation

If x2 + bx is a binomial, then adding  will result in a perfect square trinomial.   is the square of half the coefficient of the linear x.  

A perfect square trinomial can be factored, so the equation can then be solved by taking the square root of both sides.

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ2

Answer:

g(x)=(x+15/2)^2 +(-9/4)

Step-by-step explanation:

Answer:= 1.599 × 107

Step-by-step explanation:

here you go

Answer:

B

Step-by-step explanation:

A parabola is symmetric about the vertex point. The x-coordinate of the vertex is 4.6.

So the parabola has 1 intersection point at x = 0 (origin as shown) and the line of symmetry is at x = 4.6. That is, from 0 to 4.6, it is 4.6 units. Hence, the other intersection point at the x-axis should be from 4.6 to 4.6 units to the right.

Hence, 4.6 + 4.6 = 9.2

The x-intercept would be (9.2, 0)

Correct answer is B

Answer:

16

Step-by-step explanation:

So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.

So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

Answer:

Option B is the correct answer.

Step-by-step explanation:

She used x tulips and some daffodils in the bouquet.

The number of daffodils is equal to the square root of the number of tulips.

[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]

The total number of flowers in the bouquet is 20

That is

             [tex]x+\sqrt{x}=20[/tex]

Solving

         [tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]

Total number is less than 20 so 25 is not possible

Number of tulips used = 16

Option B is the correct answer.

100, 104, 114, 116, 117, 118, 122, 126, 151

That was the correct answer for the test I took

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2 (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {7}, 2 \sqrt {5})\\(x_ {2}, y_ {2}) :( 5 \sqrt {7}, 5 \sqrt {5})[/tex]

Substituting:

[tex]d = \sqrt {(5 \sqrt {7} -3 \sqrt {7}) ^ 2+ (5 \sqrt {5} -2 \sqrt {5}) ^ 2}\\d = \sqrt {(2 \sqrt {7}) ^ 2+ (3 \sqrt {5}) ^ 2}\\d = \sqrt {4 (7) + 9 * (5)}\\d = \sqrt {28 + 45}\\d = \sqrt {73}\\d = 8.5440[/tex]

Answer:

[tex]d = 8.54[/tex]

[tex](\frac{f}{g})(x)=\frac{x^{2} +2x-3}{x^2-9}[/tex]  since x = 4, you plug in 4 into the x's in the equation

[tex](\frac{f}{g} )(4)=\frac{(4)^2+2(4)-3}{(4)^2-9} = \frac{16 + 8 - 3}{16 - 9}[/tex]  Simplify

[tex]\frac{21}{7} =3[/tex]    

so [tex](\frac{f}{g})(4)=3[/tex]

(f + g)(x) = (x² + 2x - 3) + (x² - 9)     Plug in 4 for x

(f + g)(4) = 4² + 2(4) - 3 + (4)² - 9

(f + g)(4) = 16 + 8 - 3 + 16 - 9 = 28

Answer:

Exponent of 5

Step-by-step explanation:

Because there are 5 6s it would be 6 to the exponent of 5.

Given, 6×6×6×6×6

Have to write in Exponent form

So....Its given that there are 5 six so..we can write is as

[tex] = {6}^{5} [/tex]

Answer:

Option A. [tex]17.5\ units[/tex]

Step-by-step explanation:

we know that

The measure of the median is the semi-sum of the bases

so

[tex]\frac{1}{2}(11+24)=17.5\ units[/tex]

Answer:

17.5

Step-by-step explanation:

1/2(11+24)=17.5

Answer:

Required additive inverse is [tex]-7-5i[/tex].

Step-by-step explanation:

Given number is [tex]-7+5i[/tex].

Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].

We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].

Basically we need to change the sign of imaginary term.

imaginary term in given number [tex]-7+5i[/tex] is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is [tex]-7-5i[/tex].

Answer:

Next term doubles

Hope this helps :)

Have a great day !

5INGH

Brainliest please

Step-by-step explanation:

Answer:

$0.2456 / card in ink for printer B

Step-by-step explanation:

The formatting of the data tables isn't great in your question and it's hard to be sure of which numbers go where.

Since the question is about printer B, we'll assume the number of hours for printer B is 50 for week1, 50 for week2 and 3 for week3.

The numbers don't make much sense overall, but let's work with them.

We'll first calculate the ratio of hours worked by printer B with the overall hours all the printers worked, over the 3 weeks:

Printer A : 140 hours

Printer B : 130 hours

Printer C: 145 hours

Total 415 hours total, for the 3 printers.

Ratio of Printer B: 130 / 415 = 31.325%

Total of cards produced:

7,950 + 7,800 + 9,600 = 25,350 cards over 3 weeks.

We'll assume the productivity per hour is the same for all printers, since no indication otherwise.  So, the portion of those 25K cards of printer B should be the same as the ratio of the hours worked:

25,340 * 31.325% = 7941 cards (rounded to the nearest unit)

Since we know printer B ran for 130 hours, and it costs $15/hour in ink, we have:

130 hours * 15$/hour = $1,950 in ink.

Now, we divide by the number of cards:

$1,950 / 7941 cards = $0.2456 / card in ink for printer B

Answer:

b

Step-by-step explanation:

took test

Answer:

Option 1

Step-by-step explanation:

In order to find the value of the function at x=6, we have to replace x by 6 in the given function.

[tex]f(x)=\frac{3}{2}x -\frac{1}{2}[/tex]

Replacing(Substituting) x = 6 in above equation we get:

[tex]f(6)=\frac{3}{2} (6) -\frac{1}{2}\\\\f(6)=9-\frac{1}{2}\\\\ f(6)=\frac{18}{2}-\frac{1}{2}\\\\ f(6)=\frac{17}{2}\\\\ f(6)=8\frac{1}{2}[/tex]

Thus, 1st option gives the correct answer.

Answer:

The correct answer is option 1

8 1/2

Step-by-step explanation:

It is given that,

f(x) = 3x/2 - 1/2

We have to find f(x) when x = 6

To find the value of f(6)

we have, f(x) = 3x/2 - 1/2

when x = 6

f(x) = f(6)

f(6) = (3 * 6)/2 - 1/2

 = 18/2 - 1/2

 = (18 - 1)/2 = 17/2

 = 8 1/2

Therefore the correct answer is first option

Answer: 5

Step-by-step explanation: If Mike Only has $100 To Spend On Games, He Can Buy 5 Games Because We Multiply 20 By 5 To Get A Product Of 100.

Therefore, Mike Can Afford 5 Games With No Money Left.

Have A Fantastic Day!

Be Safe,

Eric

Mike can afford to buy 5 $20 games.

To determine how many $20 games Mike can afford to buy with $100, we divide the total amount of money he has by the cost of one game.

Total money Mike has = $100

Cost of one game = $20

Number of games Mike can afford = Total money / Cost of one game

Number of games Mike can afford = $100 / $20

Number of games Mike can afford = 5

Therefore, Mike can buy 5 games with $100.

Answer:

[tex]E = 3.46\ movies[/tex]

Step-by-step explanation:

The formula to find the error is:

[tex]E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}[/tex]

Where:

[tex]\sigma[/tex] is the standard deviation

n is the sample size

So

n = 80 people

[tex]\sigma[/tex] = 12 movies

Then

[tex]1- \alpha[/tex] = confidence level = 0.99

[tex]\alpha= 1-0.99[/tex]

[tex]\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005[/tex]

We look for the Z value: [tex]Z_{0.005}[/tex]

[tex]Z_{0.005}=2.58[/tex]  Looking in the normal standard tables

Therefore:

[tex]E =2.58*\frac{12}{\sqrt{80}}\\\\E = 3.46\ movies[/tex]

Answer:

You are correct!

:D

Answer:18446744073709600000

Step-by-step explanation:

2^-8*2=2^64=