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Reil [10]
3 years ago
10

A student solved the equation below by graphing. mc024-1.jpg Which statement about the graph is true? The curves do not intersec

t. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide.

Mathematics
2 answers:
Margarita [4]3 years ago
6 0
Given \log_6(x-1)=\log_2(2x+2)

I attached a graphical solution to the equation. The blue curve represent \log_2(2x+2) while the red curve represent \log_6(x-1)

From the equation, it can be seen that the curves representing the two terms in both sides of the equation does not meet.
Therefore, the statement about the graph that is true is "The curves do not intersect".

Greeley [361]3 years ago
5 0

Answer:

a. the curves don't intersect

Step-by-step explanation:

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Find the volume of a spere with radius of 7​
choli [55]

Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.

Therefore V = 4/3 * 3.14 * 7^3

= 4/3 * 3.14 * 343

= 4/3 * 1077.02

= 1,436.02667 cubic units

6 0
3 years ago
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Makayla was training for a 2k run. it was tiring, and she had to stop and walk to the finish line.if she had run 650 meters out
jonny [76]
She ran 21 inches. Thats your answer. sorry if im wrong
7 0
3 years ago
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While shopping at the school bookstore Ric purchased 4 book covers for $1.25 each and a pen that cost 2/5 as much as a book cove
Anvisha [2.4K]

Answer: Ric will get $4.50 back in change

Step-by-step explanation: $1.25 each cover times 4 covers is $5. 2/5 of 1.25 is .50. add $5 and $.50 is $5.50. if he pays with a ten, subtract, and he will get $4.50. hope this helpedd❤️

4 0
2 years ago
A call center data set shows that in a sample of 30 ​individuals, 11 had prior call center experience. If we assume that the pro
ira [324]

Answer:

P(X > 5) = 0.1164 to 4 d.p.

The parameters are defined in the explanation.

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of potential hires = 10

x = Number of successes required = number of potential hires that have prior call centre experience = more than half; that is, x > 5

p = probability of success = probability that any potential hire will have experience = (11/30) = 0.367

q = probability of failure = probability that any potential hire will NOT have experience = 1 - p = 1 - 0.367 = 0.633

P(X > 5) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10)

Inserting the parameters and computing the probabilities for each of those values of X,

P(X > 5) = 0.11641775484 = 0.1164 to 4 d.p.

Hope this Helps!!!

4 0
3 years ago
A plane flew 720 mi with a steady 30 mi/h tailwind. The pilot then returned to the starting point, flying against that same wind
NNADVOKAT [17]

Answer:

Plane's speed is 150 miles/hour

Step-by-step explanation:

Let the plane's airspeed be x

Speed of wind is 30 miles/hour

When a plane flew with the wind , Speed = (x+30)

So, the speed plain with wind on going = (x+30)

Since we are given that on returning plane fly against the wind .

So,When a plane flew against the wind , Speed = (x-30)

So, the speed plain against wind on returning = (x-30)

Distance = 720 miles .

Time = \frac{Distance}{Speed}

So, time on going  =\frac{720}{(x+30)}

Time on returning  =\frac{720}{(x-30)}

Now we are given that the total time for the whole trip (going + returning) = 10 hours.

So,  \frac{720}{(x+30)}+\frac{720}{(x-30)}=10

\frac{720x-21600+720x+21600}{(x+30)(x-30)}=10

720x-21600+720x+21600=10(x+30)(x-30)

720x+720x=10(x+30)(x-30)

1440x=10(x^2 -[30]^2)

144x=x^2 -900

x^2-144x -900=0

x^2-150x+6x -900=0

x(x-150)+6(x -150)=0

(x-150)(x+6)=0

x= 150,x= -6

So, the plane's speed is 150 miles/hour

4 0
3 years ago
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