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Katen [24]
2 years ago
10

Determine whether the representation is proportional. y = -9x

Mathematics
1 answer:
34kurt2 years ago
6 0

Answer:

Yes, they are

Step-by-step explanation:

y = -9x

Here y∝ x

Where -9 is constant of proportionality

If "y" increases by factor of 2, then "x" will also increases by factor of 2. Hence, y and x are " directly proportional" to each other.

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If C4=15 and C7=14, what is the result of the logical expression C4>C7 true or false
kvasek [131]
The answer is True because just plug in the numbers

C4=15 and C7=14

logical expression

C4>C7

15>14

That reads to 15 is greater than 14, which is true
3 0
2 years ago
Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both
timurjin [86]

Answer:

6

Step-by-step explanation:

3( 4x - 6)

Let x =2

3( 4*2 -6)

3(8-6)

3*2

6

Check

12x-18

12*2 -18

24-18

6

Both equal 6

4 0
3 years ago
Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m2, and the area of circle
taurus [48]

Solution:

we are given that

Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m^2, and the area of circle R's sector is 49π m^2.

we have been asked to find the ratio of the radius of circle Q to the radius of circle R?

As we know that

Area of the sector is directly proportional to square of radius. So we can write

Area  \  \   \alpha \ \  r^2\\ \\ \Rightarrow A=kr^2\\ \\ \text{where k is some proportionality constant }\\ \\ \Rightarrow \frac{A_1}{A_2}=\frac{r_1^2}{r_2^2}\\ \\  \Rightarrow \frac{r_1^2}{r_2^2}=\frac{A_1}{A_2}\\ \\  \Rightarrow \frac{r_1^2}{r_2^2}=\frac{25 \pi}{49 \pi}\\ \\  \Rightarrow \frac{r_1}{r_2}=\sqrt{\frac{25 \pi}{49 \pi}} \\ \\  \Rightarrow \frac{r_1}{r_2}=\frac{5}{7} \\


7 0
3 years ago
Read 2 more answers
What is 3 In 3 - In 9 expressed as a single natural logarthm?<br> in 3<br> In 6<br> In 18<br> In 27
topjm [15]

Step-by-step explanation:

3 \: In \: 3 - In \: 9 \\  = 3 \: In \: 3 - In \:  {3}^{2}  \\ = 3 \: In \: 3 - 2In \:  {3} \\  = (3 - 2)In \: 3 \\  = In \: 3 \\

Thus first option is the correct answer.

8 0
3 years ago
A bacterium in a petri dish multiplies by a factor of 31 every day. On day O,
Kamila [148]

Answer:

Step-by-step explanation:

Given that,

The bacterial increase a factor of 31 every day ,

Day 0 = 1 bacterium = 31^0

Day 1 = 31 bacterial  = 31¹

Day 2 = 31× 31 bacterial = 31²

Day 3 = 31 × 31 × 31 bacterial = 31³

And so on,

Then, nth day will have

Day n = 31ⁿ bacterial

So, when will the bacterial be 1,000,000,000

Then,

31ⁿ = 1,000,000,000

Take the Natural logarithmic to base 31 of both sides

Log_31 (31)ⁿ = Log_31 (1,000,000,000)

n•Log_31 (31) = Log_31 (1,000,000,000)

Then, log_a (a) = 1

n = Log_31 (1,000,000,000)

Check attachment for better view

Then,

The correct answer is A

8 0
2 years ago
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