PLEWSE HELPPP THESE 2 QUESTIONSSZ

In the sequence 5,10,20,40,80.. I can see that it is doubled each time.

Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.

Good luck! Stay safe!

- Eli <3

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

[tex]S_{(n)}[/tex] =  3·4ⁿ + 51

[tex]S_{(n+1)}[/tex] = 3·4ⁿ⁺¹ + 51

[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9, we have;

[tex]S_{(0+1)}[/tex] - [tex]S_{(0)}[/tex] =  [tex]S_{(1)}[/tex] - [tex]S_{(0)}[/tex] is divisible by 9

Therefore [tex]S_{(1)}[/tex] is divisible by 9 and [tex]S_{(n)}[/tex]  is divisible by 9 for all positive integers n

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Answer:

answer is a

Step-by-step explanation:

Answer:

x ≈ - 5.32 , x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4, that is

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Answer:

x=-5.32 or x=1.32

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y  

1/5x - 2/3(15) = 30

multiply  

1/5x - 10 = 30

isolate the variable  

1/5x = 40

multiply each side by 5  

x = 200

Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30

Put y as 15 and evaluate.

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

Add 10 on both sides.

1/5x = 40

Multiply both sides by 5.

x = 200

Answer:

x > 3

Step-by-step explanation:

Given 2 sides of a triangle then the third side x will be

difference of sides < x < sum of sides , that is

15 - 12 < x < 15 + 12, so

3 < x < 27

Thus x > 3

Answer:

C. 3

Step-by-step explanation:

x > 3

Ed 2020

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

2x-30

Step-by-step explanation:

Expand: 7x-5x-30

=2x-30

Answer:

The center is (-7,-8) and the radius is sqrt (2/3)

Step-by-step explanation:

( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2

The center is (-7,-8) and the radius is sqrt (2/3)

Answer:

center:    (-7,-8)         radius: 2/3

Step-by-step explanation:

i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!

also got this correct on khan academy

The first column is found by plugging in the x values to get corresponding y values. For instance, if x = -5, then y is...

y = x^2+3x-18

y = (-5)^2+3(-5)-18

y = 25-15-18

y = 10-18

y = -8

So that explains how they got -8 in the second column, next to x = -5.

--------------

The column of first differences is found by subtracting the adjacent terms in the y column. The distance from y = -8 to y = -14 is 6 units, so we'll write 6 in the first row of the "first differences" column. The rest of the values of this column are filled out in a similar fashion. This means that you'll need to completely fill out the y column before you can move onto the "first differences" column.

--------------

The second differences is found by subtracting the adjacent first differences. You should find the results of this column are all the same value. This is true of any quadratic function.

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )

Answer:≈ 18.87 cm²

Step-by-step explanation:

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = πr² = π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places

Answer:b=-43.38

Step-by-step explanation:

Answer:

[(a + b), c]

Step-by-step explanation:

Midpoint of a segment with extreme ends represented by ordered pairs [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Midpoint = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)

Coordinates of the midpoint of QS will be,

= [tex](\frac{2a+2b}{2},\frac{2c+0}{2} )[/tex]

= [(a + b), c]

Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].

Answer:

(a+b, c)

Step-by-step explanation:

CORRECT FOR ACELLUS

Step-by-step explanation:

530pm = 17:50 in 24hr/military time

915pm = 21:15 in 24hr/military time

therefore..

24hr/military time. 21:15 - 17:50 = 3.65hr

our time. 3hr 45min

It took Sarah 3 hours and 45 minutes to finish her homework

The answer in 24 hour clock system is 3:45

The calculation can be done as follows

Sarah started her home work at 5:30 pm

She finished at 9:15pm

The time range here is 3 hours, 45 minutes

Please see the link below for more information

https://brainly.com/question/24991186?referrer=searchResults

Answer: a = 3∛2

Step-by-step explanation:

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

Answer:

D

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

=> [tex]x^2-4x+2 = 10[/tex]

Adding 2 to both sides to complete the square

=> [tex]x^2-4x+4 = 12[/tex]

Completing the square

=> [tex](x-2)^2= 12[/tex]

Answer:

Step-by-step explanation:

exact form:

x=+2\sqrt(3+2)

decimal form:

x=5.46410161

Answer:

1+B,2+D,3+E,4+C and 5+A

Step-by-step explanation:

(A)161 (B)130 (C)168 (D)150 (E)132

1. 26 x 5=130

This is Option B, therefore we have the match:1+B

2. 25 x 6=150

This is Option D, therefore we have the match:2+D

3. 22 x 6=132

This is Option E, therefore we have the match: 3+E

4. 21 x 8=168

This is Option C, therefore we have the match: 4+C

5. 23 x 7=161

This is Option A, therefore we have the match:5+A

Answer:

40.39

Step-by-step explanation:

35% discount off 55 is 19.25

$35.75 is the answer

to calculate the tax its 13% rate in your area or what ever

1.13 x 35.75 = 40.39

We have proven that ∠D ≅ ∠A as shown below

From the question, we are to complete the proof

Statements                                           Reasons

  AB ≅ DB                                             1. Given

1. EB ≅ CB

2. ∠ ABC ≅ ∠DBE                                2. Congruent postulate

3. ΔABC ~ ΔDBE                                3. Side-angle-side postulate

4. ∠D ≅ ∠A                                         4. CPCTC (Corresponding parts of

                                                               congruent triangles are congruent.)

Hence, we have proven that ∠D ≅ ∠A  

Learn more on Proof of angles here: https://brainly.com/question/11673033

#SPJ1

Answer:

x = 6

Step-by-step explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.

Answer:

The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.

Step-by-step explanation:

The histogram in question is missing from the question. It was obtained online and is attached to this solution.

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).

For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.

It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.

So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.

Hope this Helps!!!

Answer:

? = 44 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan ? = 46/48

Take the inverse tan of each side

tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)

   ? = 43.78112476

To the nearest degree

? = 44 degrees

Answer:

[tex] \dfrac{1}{a^6} [/tex]

Step-by-step explanation:

[tex] a^{-6}x^0 = [/tex]

[tex] = \dfrac{1}{a^6} \times 1 [/tex]

[tex] = \dfrac{1}{a^6} [/tex]

Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation:

Answer: 380[tex]cm^{2}[/tex]

Step-by-step explanation:

Area of triangle= 14 x 10 = 140

140/2 = 70

4 triangles= 70 x 4 = 280

Area of the square= 10 x 10 = 100

Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]

hello fellow army :)

Answer:

36

Step-by-step explanation:

quick maths

Answer:

36 rectangles

Step-by-step explanation:

Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.

We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.

However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.

Answer:

The slope is -9/2 and the y intercept is 28

Step-by-step explanation:

We want to put this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

18x + 4y = 112

Subtract 18x from each side

18x+4y-18x = -18x+112

4y = -18x+112

Divide each side by 4

4y/4 = -18x/4 +112/4

y = -9/2x + 28

The slope is -9/2 and the y intercept is 28

Answer: D)-9/2; 28

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

81 - 33 = 48

Answer:

48

Step-by-step explanation:

81 - 33 = 48

Do 81 - 30 first = 51

Then do 51 - 3 = 48

Step-by-step explanation:

1/3 and 5/2 can be shown as:

points with 1/6 interval on the number line:

0, 1/6, 2/6, 3/6, 4/6, ..., 15/6