(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smallest absolute value. Then find the decimal equivalent. EX|3.1 X 104- 6.5 X 102| =|31000-650|=|30, 350| is this the largest or smallest? Once you find the largest, start again with new digits and find the smallest. _x10^blank - _ x 10^_

Answers

Answer 1

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.


Related Questions

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]

Answers

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

what is 7-(2x+1)+4x simpilist form

Answers

The answer is 2x +6 hope this helps

Please help me! Im making the first correct answer brainliest!

Answers

Answer:

The answer is most likely c.)

Step-by-step explanation:

It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.

The answer is c it has to be

Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?

Answers

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5

Answers

Answer:

1/40 or .025

Step-by-step explanation:

Just flip the 5 then multiply instead of dividing.

[tex]\frac{1}{8}*\frac{1}{5}[/tex]

You turn 5 into 1/5 by flipping it.

When you multiply them you get.

[tex]\frac{1}{40}[/tex]

or

.025

Hope this helps! Have a blessed day!

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?

Answers

Answer:

Average speed is 15km/h

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

i need help on this please​

Answers

-6 answer to -4+(-2)

3 answer to 7+(-4)

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

four ninths plus nine eighteenths :]

Answers

Answer:  17/18

In words, this is seventeen eighteenths

==========================================

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

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

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

Answer: its 17/18

Step-by-step explanation:

hope it help's ヾ(•ω•`)o

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!

Select the missing property.
(9+3)v

Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property

Answers

Answer:

Associative property of addition

Step-by-step explanation:

yes

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm

Answers

Answer:

it would be -18

Step-by-step explanation:

because you would divide 108 by 6 and you will get -18 each second

Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad

Answers

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12

Answers

Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Here you go!! Hope this helps!

Does anyone know the answers this is Gina Wilson

Answers

Answer:yes

Step-by-step explanation:

n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Answers

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?

Answers

Answer:

420

Step-by-step explanation:

If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.

Answer:

Step-by-step explanation:

The answer is 420

Helps me solve this problem please

Answers

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

HELLPP. ITS URGENT.50 PTS
Please show working.

Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))

Answers

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0

Step-by-step explanation:

Given

α and β are roots of 4x²-5x-1=0

Then the sum and product of the roots are:

α+b = -(-5)/4 = 5/4αβ = -1/4

(i) Roots are α + 1 and β + 1, then we have:

(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0

(ii) Roots are 2 - α and 2 - β, then we have:

(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0

(iii) Roots are α² and β², then:

(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0

(iv) Roots are 1/α and 1/β, then:

(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0

(v) Roots are 2/α² and 2/β², then:

(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0

PLEASE HELP 15 POINTS N BRAINLIEST

Answers

Answer:

OK don't worry we will help you get 15 points

a) Find slope (y2-y1)/(x2-x1)
Pick any two points: (5, 500), (10, 100)
(100-500)/(10-5) = -400/5 = -80
Y = -80x + h
Plot in the points
500 = -80(5) + h
500 = -400 + h
h = 900
b) Y = -80x + 900
(I have to go. I’m sure you can do the rest on your on )

i'll mark you as brainliest​

Answers

Answer:

y = x - 2

Step-by-step explanation:

.

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour


Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4

Answers

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

To know more about standard form:

https://brainly.com/question/29000730

#SPJ2

Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees. Write an integer to represent the change in temperature.

Answers

Answer:

c + 6 degrees= x

Step-by-step explanation:

i need the answer asap i’ll make you the brainliest

Answers

Answer

the second one

In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?

Answers

There were 30% in 2012 to 2013

Please help

Show work if you can

Thank you!

Answers

Answer:

y= -1/2 + 2

Step-by-step explanation:

To find m or the slope you need to find 2 locations that the line intercepts a point on the graph. I used (0,2) and (2,1).

Then you find the difference of the x and y coordinates. (x,y)

X-coordinates: 0 and 2.    0 - 2 = -2

Y-coordinates: 2 and 1.      2 - 1 = 1

A slope fraction is the difference of y over the difference of x coordinates. It would be written as 1/-2 or -1/2. m= -1/2

To find the b value, just look at the y-intercept or where the line intercepts the y-axis. Which is at (0,2). So b=2

describe the slope of the line passing through points A(-2,3) and B(4,-3)

Answers

Answer:

0/2 is ZERO is positive

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

slope = -3 - 3 / 4 - (-2)

slope = -6/6

slope = -1

hope this helped :)
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