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2 years ago

X and y are in direct proportion, when x is 8, y is 12. Which of the following is not a

Mathematics

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

Step-by-step explanation:

if x varies directly as y,

x = ky

8 = 12k

12k = 8

k = 8/ 12

k = 2/3,

x = 2/3 y

now substitute the value of any of the numbers of each pair, and check if it works:

for e.g, find x when y = 15

x = 2/3y

x = 2/3 × 15

x = 10

since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .

ii) x = 2/3y

x = 2/3 × 3, when y = 3

x = 2

hence, this is also a possible pair of x and y values.

iii) x = 2/3y

x = 2/3 × 9 when y = 9

x = 6

again, a possible pair of x and y values.

iv) x = 2/3y

x = 2/3 × 20 when y = 20

x = 40/3

here, when y = 20, x is not 15. it is 40/3.

thus, it can be determined that this is not a possible pair of x and y values.

please try to understand and have a great day!

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X=32

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3 years ago

Please help I don’t know it

navik [9.2K]

Answer:

109

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HI PLEASE HELP ME WITH MY CALCULUS 1 HW? I AM REALLY STUCK. I need help with parts d,e,g.

asambeis [7]

(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when $t=0$ and $t=3$ , and because the velocity function is continuous, you need only check the sign of $v(t)$ for values on the intervals (0, 3) and (3, 6).

We have, for instance $v(1)\approx-0.91$ and $v(4)\approx0.91>0$ , which means the particle is moving the positive direction for $3$ , or the interval (3, 6).

(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

$\displaystyle\int_0^6|v(t)|\,\mathrm dt=\int_0^3-v(t)\,\mathrm dt+\int_3^6v(t)\,\mathrm dt$

which follows from the definition of absolute value. In particular, if $x$ is negative, then $|x|=-x$ .

The total distance traveled is then 4 ft.

(g) Acceleration is the rate of change of velocity, so $a(t)$ is the derivative of $v(t)$ :

$a(t)=v'(t)=-\dfrac{\pi^2}9\cos\left(\dfrac{\pi t}3\right)$

Compute the acceleration at $t=4$ seconds:

$a(t)=\dfrac{\pi^2}{18}\dfrac{\rm ft}{\mathrm s^2}$

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)

6 0

3 years ago

A scientist had 3/4 liter of solution. HE used 1/6 of the solution for an experiment..How much solution did the scientist use fo

Leviafan [203]

Answer:

$\frac{1}{8}\ liter$

Step-by-step explanation:

we know that

To find out how much solution the scientist used for the experiment multiply 3/4 by 1/6

$(\frac{3}{4})(\frac{1}{6})=\frac{3}{24}\ liter$

simplify

$\frac{3}{24}=\frac{1}{8}\ liter$

8 0

3 years ago

Which data set could be represented by the box plot shown below?

Fudgin [204]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

<u>Interpreting Box Plots</u>

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

Minimum Value
First Quartile, $Q_1$
Median, $Q_2$
Third Quartile, $Q_3$
Maximum Value

In the box plot, the following rules applies

The whisker starts from the minimum value and ends at the first quartile.

The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

Minimum Value=1
First Quartile =6

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

Median=12
Thrid Quartile=16

The right whisker extends from 16 to 19.

Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

6 0

3 years ago