Here is a tricky but fun problem involving large exponents or high powers.
Which of the following numbers is greater, 31¹³ or 17¹⁷?​

Answers

Answer 1

Answer:

17 ^17

Step-by-step explanation:

Its power is bigger

You shouldn't be tricked because 31 is more than 17

Answer 2

Step-by-step explanation:

Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.

31¹³ < 32¹³

= (2⁵)¹³ = 2⁶⁵

= 2(2⁴)¹⁶ = 2 * 16¹⁶

< 16¹⁷ < 17¹⁷.

Hence 17¹⁷ is greater than 31¹³.


Related Questions


If Y varies directly with X,
find y when X =24 if y =5
when X = 30.

Answers

Answer:

We get Y=4 when X =24

Step-by-step explanation:

If Y varies directly with X,  find Y when X=24, if Y = 5  when X= 30.​

We are given If Y varies directly with X, we can write:

[tex]Y\:\alpha\: X\\Y=kX[/tex]

Where k is constant of proportionality

We need to find Y when X=24, first we need to find k, the constant of proportionality.

Now, we are given: If Y = 5  when X= 30.​

We can find value of k

[tex]Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}[/tex]

So, k=1/6

Now, we will find Y when X = 24

and k=1/6

[tex]Y=kX\\Y=\frac{1}{6}(24)\\Y=4[/tex]

So, Y=4 when X =24.

I GIVEEEEE BRAINLILSTTTTT

Answers

Answer:

side of black is 7

side of green is 14

Dilation scale factor is 2

hope this helps :)

please mark branliest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.

Now, we divide the length taken from the figure by the length taken from the original shape.

14/7=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Convert the following equation from standard form to slope-intercept form.
x +y = -3

Answers

Answer:

y=-x-3

Step-by-step explanation:

Slope intercept form is y=, and so we had to get the x to the other side. To do that you would subtract x from each side and then you get your answer.

(hope this helps!!)

PLEASE HELP! please help!!! omgggg

Answers

Answer:

2nd option because the number next to the x is the slope (3) and the added number is your intercept (4)

Step-by-step explanation:

answer:

the secound one :)

Pls help I’ll brainlest grades close today

Answers

Answer:

12.5%

Step-by-step explanation:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100

20 ÷ 80 ÷ 2 × 100

0.25 ÷ 2 × 100

0.125 × 100

12.5 %

Answer:

12.5%

!!!!!!!!

Find the perimeter of a rectangle whose length is 4 cm greater than its height, and whose area is 60 cm².

Answers

Answer:

Perimeter of the rectangle =  32 cm

Step-by-step explanation:

Explanation:-

Let the height of the rectangle = 'x' cm

Thus the length of the rectangle = x + 4 cm

Perimeter of the rectangle = 2 ( length + height )

Area of the rectangle = length X height

Given area of the rectangle = 60 cm²

( length X height ) = 60

( x + 4) x  =60

 x² + 4 x - 60 =0

 x² + 10 x- 6 x - 60 =0

x ( x+10) - 6 ( x + 10 ) =0

(x+10) ( x -6 ) = 0

x = -10  and x =6

we can choose x =6

The height of the rectangle(H) = 'x' = 6 cm

The length of the rectangle (L)= 6 + 4 = 10cm

Perimeter of the rectangle = 2 ( length + height )

                                           = 2 ( 10 + 6 )

                                          = 32 cm

∴ Perimeter of the rectangle = 32 cm

Answer:

32 cm

Step-by-step explanation:

height = x

length = x+4

x(x+4)=60

x^2 +4x=60

make it into quadratic formula

x^2 + 4x - 60 =0

a=1

b=-4

c=-60

4^2-4*1*(-66)

discriminant equals to 256

square root of 256 equals to 16

x=-4+16/2 = 6

x=-4-16/2 = -10

we will use 6

length is x+4 so 6+4 = 10

width is x = 6

10 plus 10 = 20

6 plus 6= 12

20+12=32 cm

ANSWER PLEASE GIVING BRALIEST AND 50 POINTS 50!
Last Tuesday was silly hat day at Karen's school. 213 students wore a silly hat and 497 students did not. What percentage of the students wore a silly hat?

Answers

213+497=710 total students, so 213 wore a silly hat so that would be 30% wore the silly hats

Answer:

bcef

Step-by-step explanation:

Dr. Bethea has 11 pieces of fruit to give out to his 3 children. He wants to give each child the same number of pieces of fruit. How many pieces of fruit will be left over after he gives them out?

Answers

Answer:

2

Step-by-step explanation:

Since in this case they aren't going to cut up the fruit, you find how many times 3 will go into 11 evenly.  3x3=9 which is the largest multiple of 3 that will fit into 11.  11 pieces subtract 9 pieces given to children = 2 pieces left.  Hopefully this helps.  

what number i am between 21 and 31 a multiple of 4 and 7​

Answers

the answer is 28

hope this helps :)

3) What is 95% of 800?

Answers

Answer:

760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

I checked using a calculator

Expand. Your answer should be a polynomial in standard form. p (p2-p-1) = Stuck? Watch a video or use a hint.​

Answers

Answer:

p^3 -p^2 -p

Step-by-step explanation:

p (p^2-p-1)

Distribute

p *p^2-p*p-p*1

Combine

p^3 -p^2 -p

Answer: -p^4+p^3+p^2

Step-by-step explanation: khan academy

find the value of x in the figure​

Answers

Answer:

the value of y = 160

Step-by-step explanation:

exterior angle=sum of two opposite interior angle

y=(180-50)+30

y=160

The answer is = 160


which of the following is equivalent to 4x^2+6x/4x+2​

Answers

Answer:

[tex]4x^2+\dfrac{7}{2}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4x^2+\dfrac{6x}{4x}+2[/tex]

We need to find the equivalent expression for the above.

As, 6x/4x = 3/2

[tex]4x^2+\dfrac{6x}{4x}+2=4x^2+\dfrac{3}{2}+2\\\\=4x^2+\dfrac{7}{2}[/tex]

Hence, the equivalent expression is [tex]4x^2+\dfrac{7}{2}[/tex].

Find the missing angle B

Answers

Answer:

The missing angle B:

m∠B = 25⁰

Step-by-step explanation:

Given the angles

A = 100⁰

C = 55⁰

B = ?

We know that the sum of the angles of triangles is 180⁰.

so

A + B + C = 180⁰

100⁰ + B + 55⁰ = 180⁰

B =  180⁰ - 55⁰ - 100⁰

B =  25⁰

Therefore, the missing angle B:

m∠B = 25⁰

What’s the domain and range of this graph?

Answers

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

Solve for a.
√a-r +m=y

Answers

Answer:

is a mathematics problem and is so easy and square and triangle and rectangle and circle formulas

Step-by-step explanation:

√(a - r) + m = y

√(a - r) = y - m

(a - r) = (y - m)²

a = (y - m)² + r

a = y² - 2my + m² + r.

The answer is the 2nd option.

Eduardo is solving this number riddle by using guess and check.

Thirteen less than my number is twenty-nine. What is my number?



This is a
problem.
Eduardo must find
.
To use guess and check, Eduardo can
13 from
.

Thirteen less than
is twenty-nine.

Answers

Answer:

subtraction, n - 13 is 29, subtract, different numbers, 42.

Answer:

The number is 42

Step-by-step explanation:

Let the number be [tex]x[/tex]

According to the problem,

   [tex]x - 13 = 29[/tex]

⇒ [tex]x = 29 + 13[/tex]

⇒ [tex]x = 42[/tex]

Hence, the number is 42.

please solve
[tex] \frac{7 + 2x}{3} = 5[/tex]

Answers

Answer:

x=-3

Step-by-step explanation:

We move all terms to the left:

7+2x/3-(5)=0

We add all the numbers together, and all the variables

2x/3+2=0

We multiply all the terms by the denominator

2x+2*3=0

We add all the numbers together, and all the variables

2x+6=0

We move all terms containing x to the left, all other terms to the right

2x=-6

x=-6/2

x=-3

When a force of 30 N acts on a certain object the acceleration of the object is 5 m/s^2 if the acceleration becomes is 8m/s ^2 what is the force

Answers

Answer:

48 N

Step-by-step explanation:

The equation for force is

F = m * a

where F is force, m is mass, and a is acceleration

30N = m * 5m/s²

m = 6 kg

F = 6kg * 8m/s² = 48 N

What is 3x6=4(2-3x)-8x

Answers

Answer:

x=- 31/2 or -15 1/2 or -15.5

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

0.5y-2 2/5=1/2y+2.4
solve for y

Answers

Since the sides are different hence the value of y has no solution

Expressions and equations

Given the equation 0.5y-2 2/5=1/2y+2.4

This can be further expressed as:

0.5y- 2.4= 0.5y + 2.4

Collect the like terms

0.5y - 0.5 y = 2.4 + 2.4

0y = 4.8

Since the sides are different hence the value of y has no solution

Learn more on equations here: https://brainly.com/question/22688504

HALLP!! DUE IN 20 MINS!!! PLS HALLP! IF YOU HELP ILL MAKE IT BRAINLIEST! (Only if the answers right tho) Which table represents a nonlinear relationship between the values of x and
y?

Answers

Answer:

Step-by-step explanation:

top right is nonlinnear

Answer:

Bottom left

Step-by-step explanation:

All tables follow linear pattern except the last step in the bottom left table

x increases by 1 but y increases by 3

a change from the previous 1 to 1 increase

what is a corresponding side in any shape​

Answers

Answer:

a corresponding side is a pair of matching sides that are in the same spot of two different shapes. The shapes must be either congruent or similar.

Step-by-step explanation:

Modular arithmetic
Pls a little explaine it

Answers

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

find the coordinates of the foot of the perpendicular from (6,8) the line through(1,5) and (9,3)​

Answers

Answer:

plz follow and thanks me

Step-by-step explanation:

Let (a,b) be the coordinates of the foot of the perpendicular from the point (−1,3) to the line 3x−4y−16=0

Slope of the line joining (−1,3) and (a,b), is m

1

=

a+1

b−3

Slope of the line 3x−4y−16=0 or y=

4

3

x−4,m

2

=

4

3

Since these two lines are perpendicular,m

1

m

2

=−1

∴{

a+1

b−3

}⋅{

4

3

}=−1

4a+4

3b−9

=−1

⇒3b−9=4a−4

⇒4a+3b=5...(1)

Point(a,b) lies on line 3x−4y=16

∴3a−4b=16....(2)

On solving equation (1) and (2) we obtain

a=

25

68

and b=−

25

49

Thus, the required coordinates of the foot of the perpendicular are {

25

68

,

25

49

}

There are 4 new seats in each row in a school auditorium. There are 12 rows in the auditorium. Each new seat cost $58. What is the cost of the new seats?

Answers

Answer:

$232

Step-by-step explanation:

Its $232. Easy Windows

Keep getting this wrong powder help!!

Answers

Man, what type of powder u trynna find?
Baby powder, you can go to CVS.

Is D correct? if not what is? and how many months with the population of the towns be equal​

Answers

Answer:

≈ 10 month

Step-by-step explanation:

50m-38600 = 40600-150m

200m = 2000

m = 10

Violet owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3.25 and each burrito for $7.50. Violet must sell no less than $570 worth of tacos and burritos each day. Also, she must sell a minimum of 30 tacos. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: y>~ 570-3.25x/ 7.50

y>~ -13/30x

x>~30

Step-by-step explanation:

The solution to the inequality in the graph has been shown.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
x + y ≤ 120
x = 120 - y,

x ≥ 30
Or
3.25x+ 7.50 ≥570

Thus, the solution to the inequality in the graph has been shown.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

SOLVE
Express in radian
(a) 70°

Answers

Answer:

I dont understand the question or what I'm looking at try reposting one

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