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Norma-Jean [14]
2 years ago
13

Pls help to find the coordinate on the line. Will mark brainliest. Thank you!!!

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
3 0

The coordinate of point R is 11/40, so the correct option is C.

<h3>How to find the coordinate of point R?</h3>

On the number line we can see that:

M = -1/4

T = 5/8

There are 5 segments between T and M, and the difference between T and M is:

5/8 - (-1/4) = 5/8 + 2/8 = 7/8

The measure of each segment will be equal to:

m = (7/8)/5 = 7/(8*5) = 7/40

Now, coordinate R is 2 segments to the left of T, so the coordinate of point R is given by:

R = 5/8 - 2*(7/40)

R = 25/40 - 14/40 = 11/40

The correct option is C.

If you want to learn more about number lines:

brainly.com/question/4727909

#SPJ1

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Nvm

Step-by-step explanation:

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3 years ago
Math graph equation. <br> (Picture.)
vladimir1956 [14]

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3  and when x = 1 then  y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

                               =(1-3) / (1-0)

                                =-2

So

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

so

b=3


Now the equation of the line in this form is

y = mx + b

which is

y = -2x + 3

5 0
3 years ago
What is the value of log 27^9?
KengaRu [80]

Answer:   The answer is \dfrac{2}{3}.


Step-by-step explanation: We are given to find the value of \log_{27}9.

Here, we will be using the following properties of logarithm.

(i)~\log a^b=b\log a,\\\\(ii)~\log_ba=\dfrac{\log a}{\log b}.

So, we will be solving the given problem using these two as follows.

\log_{27}9=\dfrac{\log9}{\log27}=\dfrac{\log 3^2}{\log 3^3}=\dfrac{2\log 3}{3\log 3}=\dfrac{2}{3}.

Thus, the required value is \dfrac{2}{3}.

4 0
3 years ago
Read 2 more answers
A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
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300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
6 0
3 years ago
Read 2 more answers
A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When
Lapatulllka [165]

Answer:

6.56% probability that a real emergency situation exists.

Step-by-step explanation:

We have these following probabilities:

A 0.4% probability that a real emergency situation exists.

A 99.6% probability that a real emergency situation does not exist.

If an emergency situation exists, a 95% probability that the alarm sounds.

If an emergency situation does not exist, a 2% probability that the alarm sounds.

The problem can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem:

What is the probability of a real emergency situation existing, given that the alarm has sounded.

P(B) is the probability of there being a real emergency situation. So P(B) = 0.004.

P(A/B) is the probability of the alarm sounding when there is a real emergency situation. So P(A/B) = 0.95.

P(A) is the probability of the alarm sounding. This is 95% of 0.4%(real emergency situation) and 2% of 99.6%(no real emergency situation). So

P(A) = 0.95*0.04 + 0.02*0.996 = 0.05792

Given that the alarm has just sounded, what is the probability that a real emergency situation exists?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.004*0.95}{0.05792} = 0.0656

6.56% probability that a real emergency situation exists.

6 0
3 years ago
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