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3 years ago

a line that passes though the point (4,-8) and has a slope of 3/2 write a equation in the slope-intercept form this line

Mathematics

1 answer:

Mashcka [7]3 years ago

6 0

Answer:

y=3/4x-11

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=3/4(x-4)

y+8=3/4x-12/4

y+8=3/4x-3

y=3/4x-3-8

y=3/4x-11

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Tems11 [23]

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2 years ago

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

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Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

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Answer:

Step-by-step explanation:

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3 years ago

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians

Gennadij [26K]

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer:

<h3>Arc length is 11.30 feet</h3>

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = $\frac{2 \pi }{7}$ radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

$s = r \times \theta$

Where,

s is the arc length

r is the radius

$\theta$ is the central angle in radians

Substituting the values we get,

$s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30$

Thus, arc length is 11.30 feet

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