Please help. I need all of them answered. I will give extra point and brainiest to best answer.

(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:

para saan po yarn anong grade

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:

6

Step-by-step explanation:

Step-by-step explanation:

to find the answer, you want to convert the fractions into decimals.

to do that, you need to divide 1 by the denominato then multiply by the numerator.

ex: 3/4

1÷4=0.25

0.25×3= 0.75

That will give you an idea where to put it in the number line.

hope it helped

Answer:

7:46

Step-by-step explanation:

The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.

Answer:

7:46

Step-by-step explanation:

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:

I believe it is D

Step-by-step explanation:

If I am correct please mark Brainlyiest

The table that shows these data correctly entered in a two-way frequency table is:

                    In Band Not in Band Total

Play                   15                10       25

Do Not Play    5               20       25

Total           20               30       50

A two-way frequency table is a way of organizing and displaying data that shows the frequency of occurrences of two categorical variables.

In such a table, the rows represent one variable, the columns represent the other variable, and the cells show the number (or frequency) of times that each combination of categories occurs.

We have,

A two-way frequency table shows how many times each combination of two categorical variables occurs.

In the table, the rows represent the "play an instrument" variable, the columns represent the "are in band" variable, and the totals are shown at the end of each row and column.

The entries in the table represent the frequency, or the number of students who belong to each combination of categories.

In this case, the two variables are "play an instrument" and "are in band". Based on the given information, we can create the following table:

Thus,

The table that shows these data correctly entered in a two-way frequency table is:

                    In Band Not in Band Total

Play                   15                10       25

Do Not Play    5               20       25

Total           20               30       50

Learn more about two-way frequency here:

https://brainly.com/question/31189964

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Answer:

2cm

Step-by-step explanation:

GIven,

1 cm= 8km

1*2cm=8*2km

2cm=16km

Answer:

60 ft

after subtracting the motor car

Answer:

18.6

Step-by-step explanation:

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

please mark this answer as brainlist

Answer:

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Using this we'll get the answer to the question marks

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

= 2 × 2.5

= 5

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.

Hint :-

Solution :-

The given equation to us is ,

[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]

Convert it to slope intercept form we have ,

[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]

On comparing to the slope intercept form of the line we have ,

As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,

Now using slope point form rewrite the equation of the perpendicular line ,

[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]

Answer:

D

Step-by-step explanation:

The proportions is 2

hope this helps

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:Bb 12. Cyborg 12

Step-by-step explanation:

Right for my test

The required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.

Given that,
At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the cost of the item bought by the beast boy is x, and the item bought by the Cyborg be y,
According to the question,
5x = 8y
x = 8/5y  - - - - - - -(1)
y = x - 1.50  - - - - - -(2)
Substitute the value of equation 1 to equation 2
y = 8/5y - 1.50
5y = 8y - 7.50
7.50 = 3y
y = 2.5
Now, put y in equation 1
x = 8 / 5 × 2.5
x = 8 × 0.5
x = 4
Now, the costs,
5x = 4 × 5 = $20
8y = 8 × 2.5 = $20

Thus, the required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.

Learn more about simplification here: https://brainly.com/question/12501526

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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:

Line 3 and 4

Step-by-step explanation:

Plato

Answer:

awedawedwadddddddddddddddddddddddddddddddd

Step-by-step explanation:

awedwadawaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

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:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

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

Answer:3-5=787879. youu

Step-by-step explanation:

Answer:

3 million

Step-by-step explanation:

Because 3 Million looks nice

Answer:

53, 13, 3, -7

Step-by-step explanation:

When x = -5,

y = -10(-5) + 3

= 50 +3

= 53

When x = -1,

y = -10(-1) + 3

= -10 + 3

= 13

When x = 0,

y = 3

When x = 1,

y = -10(1) + 3

= -7

Hope this helps.. Feel free to mark this as brainliest! :D