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konstantin123 [22]
3 years ago
6

What is the distance between (8, -3)(4,−7)

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= -0.15x-2.77

0= -0.15x-2.77

0.15x= -2.77

x= -2.77/0.15 = -18.00

The x intercept for this straight line is -18.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= -0.15×0-2.77

y= -2.77

The y intercept for this straight line is -2.77

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8 0
3 years ago
What is the measure of angle 1?
Wittaler [7]

28................................................

5 0
2 years ago
Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. I
astraxan [27]
Procedure:

1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

2) Substract the result from the initial content of the tank (1000 liters).

Hands on:

Integral of (6 - 6e^-0.13t) dt  ]from t =0 to t = 60 min =

= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =

6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

2) 1000 liters - 313.865 liters = 613.135 liters

Answer: 613.135 liters



 

3 0
3 years ago
Refer to the data above. What number represents the slope of the line, if the points on the graph above were joined?
Dmitrij [34]

Answer:

slope = 40

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 80) and (x₂, y₂ ) = (4, 160) ← 2 points on the line

m = \frac{160-80}{4-2} = \frac{80}{2} = \frac{40}{1} = 40

4 0
3 years ago
There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu
Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100

P(Red) = \frac{55}{200}\times100

P(Red) = 27.5\%

Hence Probability of picking Red ball is 27.5%.

6 0
3 years ago
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