Finding the Scale Factor and Finding a Dilated Figure

Answer:

17800

Step-by-step explanation:

a= (t-g)/-0.0035

(-32.3-30)/-0.0035 = 17800

Principal = $400

Rate = 8%

Time = 12 months

Answer:

$32 Interest but total amount after one year is $432

Consider the expression

[tex]\dfrac{x^3-1}{(x+1)^3+1}[/tex]

Factorize the numerator and denominator a difference/sum of cubes:

[tex]\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}[/tex]

Expand the denominator:

[tex]\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}[/tex]

since x = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of x ² + x + 1. This leaves us with

[tex]\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab[/tex]

so that a + b = 673 + 674 = 1347.

Answer:

11 boxes of oranges

Step-by-step explanation:

o*$3 + p * $5 = $68

o+p = 18

o=18-p

54-3p + 5p = 68

2p = 14

p=7

o=11

Answer:

1: the number after is equal to the number before plus 1

2: the number after is equal to the number before plus 4

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I like to let a graphing calculator or spreadsheet do repetitive calculations. It is well worth the few minutes it takes to learn how to enter a formula into any of the available free spreadsheet programs. The Desmos graphing calculator is amazing in its versatility and usefulness.

There are a couple of things that can help make it easier to construct a table of values.

1) recognize the axis of symmetry for this quadratic is ...

  x = -b/(2a) = -25/(2(-5)) = 2.5

So, choosing numbers either side of t=2.5 will cut your work in half.

  h(2) = h(3)

  h(1) = h(4) . . . for example

2) use Horner form to make manual evaluation easier.

  h = (-5t +25)t +2  or  = (5 -t)(5t) +2

__

Attached is a table of values, and their plot on a graph.

Answer:

60x + 42y

Step-by-step explanation:

60 x 10 = 60

7x6 = 42

Answer:

the length would be 3ft and the width would be 2ft

Step-by-step explanation:

this is because the scale is 1cm:4f ft therefore, 12/4=3 and 8/4=2 which is your final answer

Answer:

LENGTH - 3cm / WIDTH - 2cm

Step-by-step explanation:

Well first off, you would use the scale: 1 cm = 4 ft

With 12, you divide by 4. 12 ÷ 4 = 3

With 8, you also divide by 4. 8 ÷ 4 = 2

So, it would be 3 cm long and 2 cm wide.

Answer:

v = 9.5

Step-by-step explanation:

[tex] \\ \tt \frac{4}{5} (v - 7) = 2[/tex]

[tex] \\ \tt \mapsto \frac{4(v - 7)}{5} = 2[/tex]

[tex] \\ \tt\mapsto \frac{4v - 28}{5} = 2[/tex]

[tex] \\ \tt \mapsto4v - 28 = 2 \times 5[/tex]

[tex] \\ \tt \mapsto4v - 28 = 10[/tex]

[tex] \\ \tt \mapsto4v = 10 + 28[/tex]

[tex] \\ \tt \mapsto \: v = \frac{38}{4} [/tex]

[tex] \\ \tt \mapsto \: v = 9\frac{2}{4} \: or \: 9.5 [/tex]

Answer:

W = K m / R^2    expresses weight of ojject

W2 / W1 = (R1 / R2)^2        ratio of W2 to W1

W2 = W1 * (3960 / 3975)^2 = 50 * .992 = 49.62 lbs

Your question is incomplete.

Update: A. -2.5

Answer:

$33.55

Step-by-step explanation:

100-45=55

61 x .55 = $33.55

Answer:

441

Step-by-step explanation:

Answer:

14/45

Explanation:

Make the denominator of both fractions the same

13/36=130/360

2/40=18/360

130/360-18/360=112/360

112/360=14/45

Step-by-step explanation:

cube answer=3

?^3=27

3^3=27

Answer:

3x3x3

Step-by-step explanation:

Since volume is height times width times length, it would be 3x3x3=27. Hope this helps!

Answer:

D. 24

Step-by-step explanation:

5x - 9 + 2x + 21 = 180

7x + 12 = 180

7x = 168

x = 24

Answer:78

Step-by-step explanation:

9514 1404 393

Answer:

  sales person A demonstrates better performance in all of the ratios we computed

Step-by-step explanation:

A: sales per attempt = $3.3M/167 ≈ $19.8k

  sale value per sale made = $3.3M/109 ≈ $30.3k

  sales made per attempt = 109/167 ≈ 65%

__

B: sales per attempt = $2.7M/163 ≈ $16.6k

  sale value per sale made = $2.7M/97 ≈ $27.8k

  sales made per attempt = 97/163 ≈ 60%

Answer:

lenght = 25 cm

widht = 15 cm

Step-by-step explanation:

Dimensions of the screen

375 = (l - 10) × l

375 = l² - 10l

l² - 10l -375 = 0

(l + 15)(l -25)

l = -15 or l = 25

lenght = 25 cm

widht = 25 - 10

widht = 15 cm

Answer:

A,C,D

Step-by-step explanation:

Irrational number that keep going and never stop that DONT have a pattern

For example

1/3=0.3

It keeps going on BUT it repeats therefore its rational

Another example

The square root of 13 is 3.6055.......

it keeps going on BUT it doesn't have a pattern therefore its irratianal

Answer:

it's 10points bro not 20

Answer:

34 mph

Step-by-step explanation:

Average speed = total distance / total time

Total distance = ( 40 × 2 + 30 × 3 )

= 170 miles

Total time = 5 h

So, avg speed = 170/5 = 34 mph

Answer:

Mixed number: 3 1/3

Improper fraction: 10/3

Step-by-step explanation:

Answer:

3 1/3 or 10 / 3

Step-by-step explanation:

7 1/2 divided by 2 1/4 =

Multiply 7 by 2.

7 x 2 = 14

Add 1 to 14 because of the 1 in 1/2.

14 + 1 = 15

7 1/2 turns into 15 / 2.

Do the same for 2 1/4.

Multiply 2 by 4.

2 x 4 = 8

Add 1 to 8 because of the 1 in 1/4.

8 + 1 = 9

2 1/4 turns into 9 / 4.

15 / 2 divided by 9 / 4

KEEP CHANGE FLIP!!

15 / 2 x 4 / 9

15 x 4 = 60 & 2 x 9 = 18

15 / 2 x 4 / 9 = 60 / 18

Let's simplify 60 / 18 by dividing by the greatest common factor; 6.

60 / 6 = 10 & 18 / 6 = 3

10 / 3 = 3 1/3

Hope this helped!

Answer:

7

Step-by-step explanation:

The sum of the two number is 10 + x, which when doubled equals 36. Divide the 36/2, which gets to 18. Move the 10 to the other side which gets 18-10 to get 8. 20 years from now, so add 20. 20+8 is 28. 4 times my present age. So do the inverse and you will get 28/4 which equals 7. You're present age is 7.

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ[tex]\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}[/tex]

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{14}{9}\times -2}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{-28}{9}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

its 5,004,300

sorry for the wrong answer at first i read it wrong

Answer:

Im sorry yo my answer ineed point and i ask a question thnks:(