Hi hope you’re have a great day can I get some help please

(a) This is the same as computing 4⁵⁵ (mod 11). We have

4² ≡ 16 ≡ 5 (mod 11)

4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)

4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)

4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)

Then from here,

4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)

(b) Each term in the sum

4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴

has a common factor of 4ⁿ, so this sum is the same as

4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31

So the sum is indeed divisible by 11 for all integers n.

(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when a = 2.

Answer

$212

Step-by-step explanation:

to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here

percentage/100 x original price = sales tax

6/100 x 200= 0.06 x 200= 12

this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax

200+12= $212

Answer:

2 3/5

Step-by-step explanation:

7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.

Answer:

64

Step-by-step explanation:

-4(m-n)^2

when m=3 and n=-1

-4(3-(-1))^2=

-4(3+1)^2=

-4(4)^2=

-4(16)=-64

correct answer is -64

please mark this answer as brainlist

Answer:

18.6

Step-by-step explanation:

[tex] \frac{ - 18.6}{ - 1} = 18.6[/tex]

please mark this answer as brainlist

Answer:

a. was incorrect a = -0.109569028 so...

y = -0.109569028(x + 7)² + 54

b. It's been the above vertex equation for a parabola then

set y = 40 equal to the parabolic equation, we get

40 = -0.109569028x² - 1.533966392x + 48.631117628

solve for x we get

x = -18.3036867393939 or ~ 18.3 feet

Step-by-step explanation:

y = a(x - h)² + k

(h, k) = vertex = (-7, 54)

x = h is the axis of symmetry -7

y = a(x -(-7))² + 54

y = a(x + 7)² + 54

solve for a by inputting the point (15.2, 0)

0 = a(15.2 + 7)² + 54

-54 = a(22.2)²

-54 = 492.84a

a = -54/492.84

a = -0.109569028

Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

Answer:

60 ft

after subtracting the motor car

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4   (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/

Answer:

awedawedwadddddddddddddddddddddddddddddddd

Step-by-step explanation:

awedwadawaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Using weighed average, it is found that the student will need a GPA of 3.31.

To find a weighed average, each value is multiplied by it's weight.

For the student's average, we have that:

We want the mean to be 3.2, thus:

[tex]\frac{3.15(32) + 14x}{32 + 14} = 3.2[/tex]

[tex]3.15(32) + 14x = 46(3.2)[/tex]

[tex]14x = 46(3.2) - 32(3.15)[/tex]

[tex]14x = 46.4[/tex]

[tex]x = \frac{46.4}{14}[/tex]

[tex]x = 3.31[/tex]

The student will need a GPA of 3.31.

A similar problem is given at https://brainly.com/question/16233451

Answer:

3 million

Step-by-step explanation:

Because 3 Million looks nice

Answer:

The

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think

Answer:

−6+22

Step-by-step explanation:

1. Distribute

10−2(3−6)

10−6+12

2. Add the numbers

10- 6+12

22-6

3. Rearrange Terms

22+6

-6+22

Answer:

Depends, rise over run could be considered a fraction, or if it's a number that has a whole number like one and 3/4 then you just plot the point to the best of your ability. In other words guess.

Answer:3-5=787879. youu

Step-by-step explanation:

Answer:

First point : (0, -3)

Second point : (2, 0)

Y-intercept : -3

Step-by-step explanation:

To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.

1.) 3x - 2y = 6

2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)

3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)

Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.

1.) 3x - 2(-3) = 6

2.) 3x + 6 = 6 (multiply (-2) and (-3))

3.)3x = 0 (subtract 6 on both sides using inverse operations)

4.) x = 0

Now you have your first point which is (0, -3)!

To get your last point, just substitute your y coordinate from the original equation to get x.

1.) 3x - 2(0) = 6

2.) 3x - 0 = 6

3.) 3x = 6

4.) x = 2

Then, substitute the x coordinate from above in the original equation to get the y coordinate.

1.) 3(2) - 2y = 6

2.) 6 - 2y = 6

3.) -2y = 0

4.) y = 0

Second coordinate : (2, 0)

I hope this explanation was helpful!

Answer: $ 140,000

Step-by-step explanation:

Answer:

y=-2.5x-6 is the answer

Answer:

6

Step-by-step explanation:

Answer:

46.3

Step-by-step explanation:

Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).

[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]

Answer:

the quotient is the result so 4.25

Answer:

fv/pv=(1+r)^n

10,000/5000=(1+r%)^12

2=(1+r%)^12

r= 5.95

Step-by-step explanation:

fv/pv=(1 + r)^n

10000/5000=(1 + r%)^12

2=(1 + r%)^12

r=5.95