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3 years ago

Find the constant of proportional (r) in the equation y = rx

Mathematics

1 answer:

RUDIKE [14]3 years ago

4 0

Answer:

Constant of proportionality,

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation: .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,

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The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the spee

weeeeeb [17]

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

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3 years ago

If x^y = z is there any way to find y if you know x and z?

Rzqust [24]

We make use of $y = \log_x(z)$ to solve for y, when you know x and z

<h3>How to solve for y?</h3>

The expression is given as:

x^y = z

The above expression is an exponential expression.

Start by taking the logarithm of both sides

y log(x) = log(z)

Divide both sides by log(x)

$y = \log_x(z)$

Hence, we make use of $y = \log_x(z)$ to solve for y, when you know x and z

Read more about exponential functions at:

brainly.com/question/11464095

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2 years ago

Is ABD = CDB?? Justify the answer I will mark the brainiest :))

mel-nik [20]

Yes ABD=CBD since they both are just half of the triangle

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2 years ago

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Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?

Vinil7 [7]

Step-by-step explanation:

The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199

so bike cost $199

then 520%×199= 1034.8

or 520%×321=1669.2

so the percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.

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2 years ago

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Find the constant of proportional (r) in the equation y = rx​

Find the constant of proportional (r) in the equation y = rx