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oksano4ka [1.4K]
3 years ago
6

The distance a cargo ship travels is proportional to time. In 2 hours, the ship travels 53 miles. The relationship between dista

nce and time can be represented as y = kx, where x is the time, in hours, and y is the distance, in miles. What is the value of k for this ship?​
Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:26

Step-by-step explanation:

The reason i got 26:

-we substitute the letters(variables) and have 52=(k)2

but what is k? k is y divided by x (just like y is k times x)

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Find the velocity in meters per second of a baseball thrown 38m from third base in 1.7s
frosja888 [35]
1.7 s<span>, then the </span>velocity<span> of the </span>baseball<span> is 22.35 </span>m/s<span> toward first base. hope this helps.</span>
3 0
2 years ago
Given that f(x) = x2 + 3x + 6 and g(x) = the quantity of x plus two, over three, solve for f(g(x)) when x = 1
MaRussiya [10]
Easy
f(g(1))
evaluate g(1) then plug thatin for x in f(x)
g(1)=(x+2)/3
g(1)=(1+2)/3
g(1)=1

f(g(1))=
f(1)=(1)^2+3(1)+6
f(1)=1+3+6
f(1)=10
f(g(1))=10
3 0
2 years ago
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In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16
Natali5045456 [20]

Answer:

The number of candidates is 136.

Step-by-step explanation:

3 0
2 years ago
3q(p-q)+2r(p-q)-S(q-p)<br> Can u solve it step by step
Artyom0805 [142]

Answer:

-3q² + 3qp + 2rp - 2rq + Sq - Sp

Step-by-step explanation:

first part

3q(p-q) = 3qp - 3q²

second part

2r(p-q) = 2rp - 2rq

third part

S(q-p) = Sq - Sp

then we put it all together

3qp - 3q² + 2rp - 2rq + Sq - Sp

in the right place possibly

-3q² + 3qp + 2rp - 2rq + Sq - Sp

8 0
2 years ago
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5
N76 [4]
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
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The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
5 0
3 years ago
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