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2 years ago

15

Dana said that speed, s, could be either an independent or dependent variable. Write a situation where speed, s, is an indepen

dent variable. Then write a situation where speed, s, is a dependent variable.

1 answer:

Alinara [238K]2 years ago

4 0

Answer:

As dependent variable;

speed = distance/time

As independent variable

distance = speed * time

Step-by-step explanation:

When we say dependent variable, we mean that the value of the speed depends on some values.

When we say independent, we mean the value of some quantities is dependent on the speed.

As dependent variable;

speed = distance/time

As independent variable

distance = speed * time

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If sinx=2cosx then, what is the value of sin2x?

Travka [436]

sin(x) = 2cos(x)
tan(x) = 2
tan⁻¹[tan(x)] = tan⁻¹(2)
x ≈ 63.4

sin(2x) = sin[2(63.4)]
sin(2x) = sin(126.8)
sin(2x) ≈ 0.801

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2 years ago

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If a figure is cube, then it has eight vertices

lesya692 [45]

Yes a cube has eight vertices

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3 years ago

Serena has 3 3/5sq meters of wrapping paper for presents. Her grandmother has 1 1/2sq meters of wrapping paper. How much wrappin

levacccp [35]

Answer:

Total wrapping papers Serena and her grandmother = 51/10

Step-by-step explanation:

Serena's wrapping paper for parents:

$3\frac{3}{5}=\frac{18}{5}$ sq meters

Grandmother's wrapping paper:

$1\frac{1}{2}=\frac{3}{2}$ sq meters

In order to determine the combined wrapping papers for both Serena and grandmother, all we need is to add both.

i.e.

Total papers = Serena's wrapping paper + Grandmother's wrapping paper

$=\frac{18}{5}+\frac{3}{2}$

$=\frac{36}{10}+\frac{15}{10}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{36+15}{10}$

$=\frac{51}{10}$

Therefore, total wrapping papers Serena and her grandmother = 51/10

3 0

2 years ago

State the rule obeyed by the variables in each relation diagram below

labwork [276]

Answer:

y = 2x + 1

Step-by-step explanation:

You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.

3 times 2, and plus1

gives you 7.

Test it on the other numbers.

-1 times2, and plus1

2(-1)+1 = -1

2(0)+1 = 1

2(1)+1 = 3

2(2)+1 = 5

It works for all the numbers.

You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"

(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.

If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.

6 0

2 years ago

Plz help me solve this question ASAP without using algebra, Thank u‼️

VashaNatasha [74]

Let cost of 1 box of red pen = x

Let cost of 1 box of black pen = y

Gaga bought 5 red box and her sister 4 black box then total cost is given by

5x+4y

Given that total cost was $44

so equation will be 5x+4y=44...(i)

After exchange

Gaga= 4 red box + 1 Black box

Sister = 1 red box + 3 Black box

then cost for Gaga = 4x+1y

cost for sister = 1x+3y

Given that cost for both after exchange is same so we get

4x+1y = 1x+3y

or 4x-1x = 3y-1y

or 3x = 2y

or 3x/2=y ...(ii)

plug (ii) into (i)

5x+4y=44

5x+4(3x/2)=44

5x+12x/2=44

5x+6x=44

11x=44

x=4

Now plug value of x into (ii)

y=3x/2=3*4/2=12/2=6

Hence cost of 1 box of red pen = $4

And cost of 1 box of black pen = $6

---

If you want to get solution without solving both equations then just graph both equations and find the intersection point.

You will see that graph intersect at (4,6) which gives x=4, y=6

6 0

2 years ago