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3 years ago

Please help me out, This was due yesturday.

Mathematics

1 answer:

frozen [14]3 years ago

6 0

9514 1404 393

Answer:

A. y-intercept should be (0, -6)

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

y = mx + b

where m is the slope and b is the y-intercept. These parameters in your equation are ...

m = -3/4

b = -6

This means the y-intercept is at y = -6. Written as an ordered pair, the point is ... (0, -6).

In Step 1, the y-intercept should be (0, -6).

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luda_lava [24]

1) the car has travelled 210 miles in 3.5 hours
2) No because the line stops at (1,50)

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3 years ago

Dan earns £9.90 per hour how much will he earn for 6 hours work?

stich3 [128]

£9.90 Per hour * 6 hrs = £59.4

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4 years ago

The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46

natka813 [3]

Answer:

7.9982

Step-by-step explanation:

-The function for an earthquake's magnitude is given by R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

$R = 0.67\ log(0.37E) + 1.46,\ \ E=15,500,000,000 \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982$

Hence, the earthquakes magnitude is 7.9982

7 0

4 years ago

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f

Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

$P(A) = 0.0286 + 0.1*0.9714 = 0.12574$

Probability of you winning and fireworks going off:

100% of 1/35, so $P(A \cap B) = 0.0286$

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275$

0.2275 = 22.75% probability that you actually won that round

8 0

3 years ago

The value of x in the equation log(x-1)9=2 is

mel-nik [20]

$\log_{(x-1)} 9=2$

the domain:
$x-1 >0 \ \land \ x-1 \not=1 \\
x>1 \ \land \ x \not= 2 \\
x \in (1; 2) \cup (2;+\infty)$

the equation:
$\log_{(x-1)}9=2 \\
(x-1)^2=9 \\
\sqrt{(x-1)^2}=\sqrt{9} \\
|x-1|=3 \\
x-1=3 \ \lor \ x-1=-3 \\
x=4 \ \lor \ x=-2$

4 is in the domain
-2 is not in the domain

The answer:
$x=4$

***
Also, the answer in 13 is {8}. -3 is not in the domain. Replace x with -3 and you'll see:
$x=\sqrt{5x+24} \\
-3=\sqrt{5 \times (-3)+24} \\
-3=\sqrt{-15+24} \\
-3=\sqrt{9} \\
-3=3$
It's not true so -3 isn't a solution to this equation.

4 0

3 years ago

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Please help me out, This was due yesturday. ​

Please help me out, This was due yesturday.