Considere as mesas com 4 cadeiras, com 6 cadeiras e com 8 cadeiras. ©Shutterstock/jenjira Com base nessa sequência de imagens, qual expressão indica a quantidade de cadeiras utilizadas ao colocarmos n mesas lado a lado?

Answer:

Step-by-step explanation:

[tex]5^3\times\:5^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times\:a^c=a^{b+c}\\5^3\times\:5^5=5^{3+5}\\\\=5^8=390625[/tex]

The solution of the expression will be 5⁻².

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5³ x 5⁻⁵. The expression will be solved as below,

E = 5³ x 5⁻⁵

E = 5³⁻⁵

E = 5⁻²

Hence, the expression will be E = 5⁻².

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Answer:

Each book costs 26 dollars

Step-by-step explanation:

Let b be the price of each book

8*b +17 = 225

Subtract 17 from each side

8b+17-17 = 225-17

8b =208

Divide by 8

8b/8 = 208/8

b =26

Each book costs 26 dollars

Answer: (2, -1)

Explanation: Since one equation has a -5y and the other equation

has a +5y, when we add the equations together, the y's will cancel out.

So we have 5x = 10 and x = 2.

To find y, plug 2 back in for x in either of the two original equations.

I have chosen to plug 2 into the second equation to get (2) + 5y = -3.

Solving from here, y = -1.

So our final answer is the ordered pair (2, -1).

Now, check your answer.

Answer:

0.66

Step-by-step explanation:

Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday.

Total fliers shared= 85+66+99

Total fliers shared= 250 fliers

Fraction of the fliers she gave out on Wednesday= fliers on Wednesday/total fliers

=99/150

= 33/50

= 3.3/5

= 0.66

Answer:

0.66

Step-by-step explanation:

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

Answer:

20

Step-by-step explanation:

From the above question, we were given the following information:

Number of Guests = Frequency

100 – 119 = 45

120 – 139 = 76

140 – 159 = 56

160 – 179 = 17

180 – 199 = 27

Class width can be defined as :

The difference between the upper limits of two consecutive classes, or the difference between the lower limits of two consecutive classes.

The class width for this GFDT : 139 - 119

= 20

Answer:

3840 minutes

Step-by-step explanation:

60x64= 3840

can i have the brainliest, please????

Answer:3840 minutes

Step-by-step explanation:

there is 60 min in an 1 hr so there for you can multiple 64x60 which equals 3840

Answer:

We need to add to the $3.00 we have at the start, what they gave him:

He started with $3.00 and received $10.00:

3.00 + 10.00 = $13.00

Then (when having $13.00) received $30.00:

13.00 + 30.00 = $43.00

Then (when having $43.00) received $100.00:

43.00 + 100.00 = $143.00

Then (when having $143.00) he had another $7.00:

143.00 + 7.00 = $150.00

The answer is $150

I initially had $3

My mom gave me $10

= $10+$3

= $13

My dad gave me $30, my aunt and uncle also gave me $100

= $100+$13+$30

= $143

I had another $7

= $7 + $143

= $150

This makes it a total of $150

Hence the amount i have is $150

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Answer:

  $1108.25

Step-by-step explanation:

Danielle's commission on $4300 in sales is ...

  0.0775 × $4300 = $333.25

That, added to her base salary, gave her weekly earnings of ...

  $333.25 +775 = $1108.25 . . . . Danielle's pay last week

Suppose you want to equate an expression to zero:

[tex]\[\begin{array}{l}20 - 10y - 7y + 9 = 0\\29 - 17y = 0\\17y = 29\\y = \frac{{29}}{{17}}\end{array}\][/tex]

Answer:

Integer

Step-by-step explanation:

On every number line we have both negative and positive numbers. So negative 15 is an integer

Answer:

2/3 +8/3=10/3

Step-by-step explanation:

Step-by-step explanation:

Two of the sides are 4 and 5.  The other four sides are 1, 2, 3, and 6.

The probability of rolling a number other than 4 or 5 on any roll is 4/6, or 2/3.

The probability of rolling no 4s or 5s six times is:

P = (2/3)⁶

P ≈ 0.088

Answer:

-13v^4 + v^3 - 10v (if simplified)

Step-by-step explanation:

combine like terms

(-7v^4 - 5v) - (-5v^3 - 2v)+ ( - 7v - 6v^4 - 4v^3)

-7v^4 + -6v^4 = -13v^4

-5v^3 + -4v^3 = v^3 (the five becomes positive because of the negative sign infront of the parenthesis) Example: -(-5v^3) = +5v^3

-13v^4 + v^3 -5v -(-2v) -7v (now we have the -2 left alone in the parenthesis which means it becomes positive too) Example: -(-2v) = +2v

-5v +2v - 7v = -3v -7v = -10v

Answer: -13v^4 + v^3 - 10v

Answer:I believe the answer is C

Step-by-step explanation:

The y-intercept is 2

Answer:

63 is greater than 48.1 ...

63 > 48.1

Step-by-step explanation:

63 is greater than 48 remember. So you need to remove the [.1] and focus on the 63 and 48.

Thanks!!!!❤❣❤

Answer:

The answer is no

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

6/8 skkssbjsjdsdhdhbddbd dhhdhshshs

Answer:

14/15

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 3 - -11)/( 6 - -9)

    = ( 3+11)/( 6+9)

    = 14/15

Answer:

Step-by-step explanation:

Hello, the sum of the roots is -9=-4-5 and the product is 20=(-4)*(-5) so we can write

[tex]x^2+9x+20=(x+4)(x+5)[/tex]

thanks

Answer:

( x + 4 ) ( x + 5 )

Step-by-step explanation:

For this polynomial, we will factor the coefficient of the x^2 term and the constant.

The coefficient of x^2 is 1, which just factors to 1.

The constant 20 factors into 2 * 2 * 5.

Note, that our middle term coefficient is 9 and thus we want a pairing of 1 with either 2, 4, or 5 to make 9.   4 + 5 = 9, so we will choose that.

Using the standard binomials, we will factor the polynomial:

( x^2 + 9x + 20 )

= ( x + 4 ) ( x + 5)

We can check by performing foil:

= ( x + 4 ) ( x + 5 )

= ( x * x + x * 5) + ( 4 * x + 4 * 5)

= ( x^2 + 5x ) + ( 4x + 20 )

= ( x^2 + 9x + 20 )

Thus, we have successfully factored our polynomial.

Cheers.

Answer:

The teacher woll award the student 96 points for studying for 4 hours

Step-by-step explanation:

The student receives 72 point for preparing a test as long as 3 hours.

If she prepares for another test for 4 hours.

3 hours= 72 points

4 hours=( 72*4)/3

4 hours=72/3 *4

4 hours = 24*4

4 hours= 96 points

The teacher woll award the student 96 points for studying for 4 hours

Answer:

The direction cosines are:

[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex]  and  [tex]\frac{4}{\sqrt{42} }[/tex]  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

Step-by-step explanation:

For a given vector a = ai + aj + ak, its direction cosines are the cosines of the angles which it makes with the x, y and z axes.

If a makes angles α, β, and γ (which are the direction angles) with the x, y and z axes respectively, then its direction cosines are: cos α, cos β and cos γ in the x, y and z axes respectively.

Where;

cos α = [tex]\frac{a . i}{|a| . |i|}[/tex]               ---------------------(i)

cos β = [tex]\frac{a.j}{|a||j|}[/tex]               ---------------------(ii)

cos γ = [tex]\frac{a.k}{|a|.|k|}[/tex]             ----------------------(iii)

And from these we can get the direction angles as follows;

α =  cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )

β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )

γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )

Now to the question:

Let the given vector be

a = 5i + j + 4k

a . i =  (5i + j + 4k) . (i)

a . i = 5         [a.i is just the x component of the vector]

a . j = 1            [the y component of the vector]

a . k = 4          [the z component of the vector]

Also

|a|. |i| = |a|. |j| = |a|. |k| = |a|           [since |i| = |j| = |k| = 1]

|a| = [tex]\sqrt{5^2 + 1^2 + 4^2}[/tex]

|a| = [tex]\sqrt{25 + 1 + 16}[/tex]

|a| = [tex]\sqrt{42}[/tex]

Now substitute these values into equations (i) - (iii) to get the direction cosines. i.e

cos α = [tex]\frac{5}{\sqrt{42} }[/tex]

cos β =  [tex]\frac{1}{\sqrt{42} }[/tex]              

cos γ =  [tex]\frac{4}{\sqrt{42} }[/tex]

From the value, now find the direction angles as follows;

α =  cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )

α =  cos⁻¹ ( [tex]\frac{5}{\sqrt{42} }[/tex] )

α =  cos⁻¹ ([tex]\frac{5}{6.481}[/tex] )

α =  cos⁻¹ (0.7715)

α = 39.51

α = 40°

β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )

β = cos⁻¹ ( [tex]\frac{1}{\sqrt{42} }[/tex] )

β = cos⁻¹ ( [tex]\frac{1}{6.481 }[/tex] )

β = cos⁻¹ ( 0.1543 )

β = 81.12

β = 81°

γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )

γ = cos⁻¹ ([tex]\frac{4}{\sqrt{42} }[/tex])

γ = cos⁻¹ ([tex]\frac{4}{6.481}[/tex])

γ = cos⁻¹ (0.6172)

γ = 51.89

γ = 52°

Conclusion:

The direction cosines are:

[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex]  and  [tex]\frac{4}{\sqrt{42} }[/tex]  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

Answer:

If 12 granola bars are nine dollars,

(12/9)

We divide the amount by the price!

Twelve divided by nine is about $1.33.

The image is rounded to the nearest thousandth

Answer: (3,-10)

Step-by-step explanation:

Using the translated rule that x is increase by 5 and y  is decreased by 7 put it into the equation and solve for  the coordinates of k.

(-2 +5 ) = 3

(-3 -7) = -10

So now the coordinates will be (3,-10)

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

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Answer:

Hello your question has some missing parts attached is the missing part

answer : slightly skewed to the right ( B )

Step-by-step explanation:

From the attached histogram related to the question above, it can be seen that the the right tail is longer than the left tail and this can help us draw the conclusion that the overall shape of the distribution is slightly skewed to the right

Answer:

x = 9 or x = -21

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 12 x - 189 = 0

The left hand side factors into a product with two terms:

(x - 9) (x + 21) = 0

Split into two equations:

x - 9 = 0 or x + 21 = 0

Add 9 to both sides:

x = 9 or x + 21 = 0

Subtract 21 from both sides:

Answer: x = 9 or x = -21

Answer:

y = 120º

Step-by-step explanation:

180 - (33 + 87) = 60

x = 60

180 - 60 = 120

y = 120º

or y = 33 + 87, because the outer angle of one angle equals the other two inner angles.

Answer: 120°

Step-by-step explanation:

If you add up all the triangles angles, it always is 180. So, when you add 33+87, you get 120. This means that x=60 because 120+60 =180.

Then, you also know that x and y together, make a 180° also because it is a straight line. So, y is equal to 120° because 60+120 = 180°.

Hope this helps! :)

Answer:

An Irrational number is a number that cannot be expressed as the ratio of two integers.

Example: [tex]\pi[/tex]

its numbers are infinite