Write the equation of the line described below in point-slope form.

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

2017 = 32 • 62 + 33

62 = 1 • 42 + 20

Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

Answer:

9x -2

Step-by-step explanation:

6x + 4 - 3x - 2

6x + 3x +4 - 2

9x -2

Answer:

Step-by-step explanation:

(6x + 4) - (3x - 2) simplify

(6x + 4) - (3x - 2)=

6x + 4 - 3x + 2

3x + 6

Step-by-step explanation:

756000000 = 7.56×10⁸.

hope this helps you.

Answer:

7.56   x10^8

.......................................

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line A:

Mark two points in line A.

(1,3) & ( 2 , 5)

[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]

Line B:

(0,5) ; (5,0)

[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]

Answer:

Here,

3

,

(

−

6

)

,

12

,

(

−

24

)

,

...

is the geometric sequn.

w

h

e

r

e

,

1

s

t

t

e

r

m

=

a

1

=

3

and

common ratio

r

=

−

6

3

=

12

−

6

=

−

24

12

=

−

2

and

S

9

=

?

⇒

n

=

9

We know that,

The sum of first n term of Geometric series is :

S

n

=

a

1

(

r

n

−

1

)

r

−

1

Putting ,

a

1

=

3

,

r

=

−

2

and

n

=

9

S

9

=

3

[

(

−

2

)

9

−

1

]

(

−

2

)

−

1

∴

S

9

=

3

[

−

512

−

1

]

−

3

⇒

S

9

=

3

(

−

513

)

−

3

⇒

S

9

=

513

Step-by-step explanation:

Answer:

Step-by-step explanation:

c.r. r=-6/3=-2

[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]

Answer:

A

Step-by-step explanation:

Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.

f(3) = 3^2 + 1 = 10. This must mean that A is the answer.

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

Answer:

[tex]\frac{1}{108}[/tex]

Step-by-step explanation:

Using the rules of exponents

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

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]

[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36

= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]

= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]

= 2 [tex]\frac{1}{6^3}[/tex]

= 2 × [tex]\frac{1}{216}[/tex]

= [tex]\frac{1}{108}[/tex]

Answer:

Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Step-by-step explanation:

Let speed of first bus be x mph

Then speed of second bus = x+10 mph.

Let A and B have a distance d.

Then given that faster bus reached in 3.5 hours.

i.e.  ... i

THe other bus was away from B by 1/6 times d.

Distance travelled by slower bus = 1-1/6 = 5d/6  

Time taken = 3.5 hours

i.e.  ... ii

Divide i by ii to eliminate d.

ie Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Use ii equation

miles

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

Answer:

1) 25

2) 32,768

3) 729

4) 16 or 2^4

5) 117,649 or 7^6

6) 5.29 or 2.3^2

Not sure what 7-12 mean

13) 1 mile 64-63=1

14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37

15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.

16) 8^5= 32,768  6^6= 46,656  5^7= 78,125  5^5= 3,125  4^10= 1,048,576

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Note : -

That square like symbol at the intersection of two lines is 90°.

( 4x - 18 )° and 90° are corresponding angles.

Corresponding angles are equal since lines

a & b are parallel.

4x - 18 = 90

4x = 90 + 18

4x = 108

x = 108 / 4

x = 27

Answer:

-2.43 then -2 2/3 then 2.045 then 2 5/9 that is from least to greatest :) hope this helps

Step-by-step explanation:

i am positive :)

just to make sure you got it i put this in your comments too !

Answer:

x = 0

Step-by-step explanation:

Sorry, couldn't help in Q. 10

The question seems undefined or I haven't seen this question before.

Answer:

a^18

Step-by-step explanation:

(a^2 x a^2 x a^2)^3

first, calculate the product inside the parentheses

(a^6)^3

simplify the expression

a^18

Answer:

25896

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.

It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

Answer:

you can find the answer in this link bit.3ckFc

Step-by-step explanation:

no real solution ig

Answer:

final answer: 58xy

Step-by-step explanation:

24xy + 4xy - 2y + 42xy - 12xy + 2y

(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)

(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy

58xy + ( - 2 + 2)xy

58xy + 0y

58xy

Answer:

1st one is 11

2nd one is -4

3rd one is 0

Step-by-step explanation:

no need

you can trust me :)

Answer:

Step-by-step explanation:

The system is not given to give exact answer.

Possible solution is:

A. (2,7), because this point is true for both equations

B. (4, -6), because this point lies only on one of the two lines

C. (4, -6), because this point makes both equations true

D. (2,7), because the lines intersect the x-axis at these points

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

i hope my answer helps !!

Answer:

Step-by-step explanation:

Simplify the expression:

Substitute values:

Answer:

how watched 3/4 of the movie

Step-by-step explanation:

I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.

P.S when ever using a fraction when typing like 1/4 instead of doing

1

4

do 1/4

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

The higher the negative number the lower it really is.

Answer:

-4.5, -.5, .3, .7,2.3

Step-by-step explanation:

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

Answer:

$4

Step-by-step explanation:

If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.

6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

y=(2x-3)^2 + 7

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.