Q1. Interpreting Direct Proportion

In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)

What is the constant of proportionality k when y=kx: ?

Basically, everything except choice A.

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

Explanation:

All exponential functions can be written into the form y = a*b^x

The b term determines if we have growth or decay.

If 0 < b < 1, then we have decay. If b > 1, then we have growth.

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

For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.

Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.

Choice C has b = 1/3 = 0.33 approximately which is also decay.

Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.

Choices B through D have b values such that 0 < b < 1.

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

Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.

I used GeoGebra to make the graph.

Answer:

D

Step-by-step explanation:

we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.

area of base=1/2×6×8=24 mi²

volume=base area ×height

=24×8

=192 mi³

Answer:

D

Step-by-step explanation:

Send the question?

Must click thanks and mark brainliest

Answer:

110

Step-by-step explanation:

2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110

Here Enjoy :)

Answer:

c random sample

Step-by-step explanation:

I may be wrong but When random sampling is used, each element in the population has an equal chance of being selected (simple random sampling) or a known probability of being selected (stratified random sampling).

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

Answer:

SORRY I don't know second number . I did only first .

Answer:

I say the fourth one just because

9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ [/tex]

They are like terms so you can just easily subtract them directly.

[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ = \boxed{\bf8x {}^{2}} [/tex]

Hope it helps.

RainbowSalt2222

[tex]\\ \sf\longmapsto 11x^2-3x^2[/tex]

[tex]\\ \sf\longmapsto (11-3)x^2[/tex]

[tex]\\ \sf\longmapsto 8x^2[/tex]

Step-by-step explanation:

here's the answer to your question

Answer:

38,250

Step-by-step explanation:

Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.

Answer:

Rs 1155.3

Step-by-step explanation:

1136 * .1 = 113.6

1136 - 113.6 = 1022.4

1022.4 * 1.13 = 1155.3

Answer:

Area = 35 cm^ 2

Step-by-step explanation:

Area = 1/2(a+b) x h

1/2 (5+9) x 5

= 35 cm^ 2

Answered by G a u t h m a t h

Answer:

A = 35  cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases and b₁, b₂ are the bases.

Here h = 5 , b₁ = 9 and b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (9 + 5) = 2.5 × 14 = 35 cm²

Answer:

Step-by-step explanation:

Volume of pyramid = Base area * height

                              = 41.57 * 10

                               = 415.7 cubic inches

Answer:

it's the third one.

Step-by-step explanation:

It should be a bold/filled circle on the line instead of an empty one.

Answer

I don't know the correct answer but I can give you technique. Count the number of guesses above would give you 10, which is our answer to the maximum number of guesses to find a number between 1 and 1000.

Answer:

The similarity statement is RTS and ACB. Other options are correct

Answer:

A

Step-by-step explanation:

The unit price will be the slope of the line which is 8, so the unit price is $8/1 lb

Answer:

cold to hot hope it helps

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.

So,

8x - 12 = 6x + 8

=> 8x - 6x = 8 + 12

=> 2x = 20

=> x = 20/2

=> x = 10

So, the value of x is 10.

please mark this answer as brainlist

Answer:

20%

Step-by-step explanation:

I looked it up and that's what I got

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

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

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

Extra info (optional section)

Use this x value to find each angle shown below

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

Answer:

The answer of this question is 134.83

Answer:

264

Step-by-step explanation:

Volume = Area of cross section x height

Area of cross section = 1/2 bh

1/2 (8x6) = 24

24 x 11 = 264 yd^3