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3 years ago

How do you make X the subject of the formular in: Y=Bx + C

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

Answer:

Step-by-step explanation:

Bx + C = Y

Bx = Y - C

x = (Y - C)/B

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Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back

ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar = 10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 = t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0

3 years ago

Drawing Conclusions

maksim [4K]

Answer:

Some of the Exponents = -2 that is true, not 2.

Step-by-step explanation:

Let's check one at a time.

(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.

$6^{0} =1$ and $6^{1}$ = 6 (no exponent. 6 $\neq$ 1 therefore this statement is False.

(b)The sum of the exponents is -2.

let's check , if the base is same we can add the exponents that is the exponent rule.(well established).

if we add exponents in the given expression we get.

$6^{1} 6^{0} 6^{3} =6^{1+0+(-3)} =6^{-2}$ , therefore we can see that the sum of the exponents = -2 this is true.

(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to $\frac{1}{36}$ which we can see that $\frac{1}{36} \neq 65.6-7$ ,therefore this statement is false as well.

3 0

3 years ago

Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) Slope of the line m = ∞

b) Slope of the line m =0

Step-by-step explanation:

Explanation:-

Step(i):-

Given points are ( 7,7) and (7,-8)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

$m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite$

m = ∞

Step(ii):-

Given points are (-6,7) and (9,7)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

$m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0$

Slope of the line m =0

6 0

3 years ago

A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three pre

yarga [219]

Answer:

0.684

Step-by-step explanation:

According to the scenario, computation of the given data are as follows

Seasonal index = Average value for July ÷ Average over all months

Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3

= 390 ÷ 3 = 130

And, average over all months = 190

So by putting the value in the formula, we get

Seasonal index = 130 ÷ 190

= 0.684211 or 0.684

Hence, approximate seasonal index for July is 0.684.

6 0

3 years ago

Which of these is an example of a discrete random variable?

34kurt

Answer:

Step-by-step explanation:

7 0

3 years ago