solve this please. find the sum

Answer:

  ___

2.034

over .034

     _

0.92

over 2

  _

0.7

over 7

Step-by-step explanation:

Bar notation of 2.034034.... is  [tex]2.\overline{034}[/tex], 0.9222... is  [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]

Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.

For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.

Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.                  

Bar notation of  3.33333... is written as  [tex]3.\overline{3}[/tex]

Given decimal expansions are

a.  2.034034....

We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.

Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]

b. 0.9222....

We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.

Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]

c. 0.7777....

We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.

Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]

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Answer:

Check Explanation.

Step-by-step explanation:

Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.

From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.

Total Area under the curve = ½×base×height

= ½ × (5-1) × 0.5 = 1 square unit

Area under the density curve where x is less than 4 is a trapezium.

Area of a trapezium = ½ (a+b) h

For the area under the density curve where x is less than 4,

a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3

Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit

In terms of the total area, Area under the density curve where x is less than 4 covers

(0.9375/1) × 100% = 93.75%

Hope this Helps!!!

Answer:

-9

y= x + 3

2

2

Step-by-step explanation:

its simple just follow my steps

Answer:

Step-by-step explanation:

[tex]g^{-1} (-3)=7\\[/tex]

let h(x)=y

y=2x-3

flip x and y

x=2y-3

2y=x+3

[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]

Answer:

             [tex]\dfrac{13}{17}[/tex]

Step-by-step explanation:

all headbands:   20+32+16 = 68

headbands that aren't black:   68-16 = 52

the probability:   [tex]\frac{52}{68}=\frac{13}{17}[/tex]

Answer:

The circumference is 6908 miles.

Step-by-step explanation:

C=πd

C=π*2200

C=3.14*2200

C=6908

Option B is correct.

Answer:

b

Step-by-step explanation:

Answer:

0.58 is where the blue dot on the number line is

Answer:

The blue dot is at -0.58

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

Answer:

6 and 2

Step-by-step explanation:

6+6=12

2+2=4

12+4=16

Answer:

gºf(x)​ = [tex]3x^2 -1[/tex]

Step-by-step explanation:

Given

f(x) = x2

g(x) = 3x - 1

To find

gºf(x)​

To find  gºf(x)​ we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)

lets do that

g(x) = 3x - 1

gºf(x)​ = 3(f(x)) -1

gºf(x)​ = [tex]3x^2 -1[/tex]

Thus, value of  gºf(x)​ is   [tex]3x^2 -1[/tex].

Answer:

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 4ft[/tex]

[tex]Angle, \theta = 45[/tex]

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]

[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes

[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]

[tex]Area = \frac{45}{360} * \pi * 16[/tex]

[tex]Area = \frac{45*16}{360} * \pi[/tex]

[tex]Area = \frac{720}{360} * \pi[/tex]

[tex]Area = 2 * \pi[/tex]

[tex]Area = 2 \pi\ ft^2[/tex]

The above is the area in terms of π

Solving further.... (Take π as 3.14)

[tex]Area = 2 \pi\ ft^2[/tex] becomes

[tex]Area = 2 * 3.14\ ft^2[/tex]

[tex]Area = 6.28\ ft^2[/tex]

Hence, the area of the sector is

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.

Answer:

The correct answer is

[tex]y = -7x -3[/tex]

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]

[tex]y=-7x-3[/tex]

Hope this helps!

- Quinn <3

Answer:

C.

Step-by-step explanation:

First find the pattern. The pattern is you multiply the number before by -3.

Just start with x as the first number.

x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x

Add them all up: -14762

Now multiply by -3:

44286

The required sum of the first 10 terms in the series is given as 44286. Option C is correct.

Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
For Geometric progression,
a = -3
r = 9/-3 = -3

The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286

Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.

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Answer:

The following two equations represent the reflected function:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Step-by-step explanation:

Following are two basic concepts of reflection a point or a function over an axis:

In this question, the function is given:

f(x) = 5(1/5)ˣ

As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.

So the equation of reflected function is:

f(x) = 5(1/5) ⁻ˣ

We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.

(1/5)⁻ˣ = 5ˣ

So equation of reflected function can also be written as:

f(x) = 5(5)ˣ

Answer:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Answer:

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Step-by-step explanation:

Step(i):-

Given series

6+66+666+6666 + ... +666...66 up to 100 digits

Taking common '6'

6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)

Multiply '9' and divisible by'9'

[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]

Multiply inside '9'

[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]

Step(ii):-

we know that sum of geometric series

[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]

we know that

a + a + a+........n terms = n a

[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex]  ....(i)

The sum of the 100 digits in geometric series

[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]

Now the equation (i)

The sum of the digits of the number  

      [tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]

Final answer :-

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Answer:

Hi, please provide a photo or options to pick from. I will answer then.

Step-by-step explanation:

Answer:

It's (B) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer:

the answer is C:x=20 I used a calculator

Answer:

No, she has not bought enough dog food to feed her 4 dogs for 5 days.

Step-by-step explanation:

She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 *  = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.

No, she has not purchased enough dog food to last five days and feeds her four dogs.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.

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Answer: 98 is your answer

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

start with your equation: 1/3x + 4 = 10

first subtract 4 from both sides of the equal sign

now you have: 1/3x = 6

then divide by 1/3 on both sides

which gives you...

x = 18

you can check it by replacing x with 18.

hope this helps!

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}x+4=10[/tex]

Subtract 4 from both sides

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

Multiply both sides by 3

[tex]x=18[/tex]

Answer:

sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.

Answer:

5 faces

Step-by-step explanation:

Faces:

=> 1 rectangular face+4 triangular face = 5 faces

Answer:

a pyramid has has 5 Faces.

Step-by-step explanation:

The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices

a net with a rectanguler base and 4 triangles will form a rectanguler pyramid

Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020

Answer:

I would think it is supplementary.

Step-by-step explanation:

If 2 angles equal 180 degrees, then they are supplementary.

Answer:

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Step-by-step explanation:

Given

[tex]3(x + 3y + 2x - y)[/tex]

Required

Possible Equivalents

To start with; we need to simplify the expression in the bracket;

[tex]3(x + 3y + 2x - y)[/tex]

Collect like terms

[tex]3(x + 2x + 3y - y)[/tex]

[tex]3(3x +2y)[/tex]

At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Solving further, by expanding the bracket

[tex]3(3x +2y)[/tex]

[tex]3*3x +3*2y[/tex]

[tex]9x +6y[/tex]

At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Hence,

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Answer:

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

If

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

then

[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So; 2A - 4B becomes

[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Hence, 2A - 4B is equivalent to

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]