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dem82 [27]
2 years ago
12

Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8

Mathematics
1 answer:
pashok25 [27]2 years ago
3 0

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

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A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f
krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0
3 years ago
The average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00. Assuming a normal distribution, if 77 percent
jek_recluse [69]

Answer:

22.97

Step-by-step explanation:

Given that the average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00.

Let x be the average cost an IRS Form 1040 tax filing at Thetis Tax Service

P(X is given

From std normal distribution table we find 77th percentile z value.

z=0.74

Corresponding X value = 155

i.e. 0.74=\frac{155-138}{s} where s is the std deviation

Simplify to get

Std deviation  = \frac{17}{0.74} \\=22.97

8 0
2 years ago
A) y B) y&gt;x<br> C) y+x = 1<br> D) y/x = 1
Bond [772]

Answer:

The answer should be C

6 0
2 years ago
Please help me with this problem! I am so confused: This system of equations shows x by itself on the left side of one equation.
andrew-mc [135]

Answer:

x=-6

y=4

Step-by-step explanation:

x=-y-2        x=-y-2             x=-y-2         x=-y-2         x=-y-2   x=-4-2   x=-6

0.5x+y = 1  0.5(-y-2)+y=1  -0.5y-1+y=1  -y-2+2y=2  y=4       y=4       y=4

7 0
2 years ago
Would this be h=4 or h=12?<br> 4=h-8
blsea [12.9K]

Answer:

H=12

Step-by-step explanation:

12-8=4

hope this helps!!

4 0
2 years ago
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