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ANTONII [103]
2 years ago
6

H(t)=(t+3)

Mathematics
1 answer:
Anarel [89]2 years ago
3 0

Answer:

0

Step-by-step explanation:

h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1

The average rate of change is the change in h over the change in t.

(h(-1) − h(-5)) / (-1 − (-5))

= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)

= (4 + 5 − 4 − 5)) / 4

= 0

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An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room
Lina20 [59]
Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.

Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.

The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft

Answer:
41.5 feet of baseboard.

7 0
3 years ago
Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)? A. .34 B. .51 C. .17 D. .68
s2008m [1.1K]

Answer:

0.51

Step-by-step explanation:

Mathematically, for two individual events;

P(AnB) = P(A) * P(B)

P(A n B) = 0.6 * 0.85 = 0.51

8 0
2 years ago
Read 2 more answers
$32 earrings marked up 20% ,,, I need explanation on how to figure out??
Ludmilka [50]
32*1.2=38.4 (.2 is the 20%, and the 1 adds the percent to the original cost making it a mark up)
5 0
3 years ago
Which equation represents the same line as the points in the table
vodomira [7]

Answer:

y=\frac{-3}{4} x+2

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

m=\frac{y2-y1}{x2-x1}

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

m=\frac{2-5}{0--4}

Simplify:

m=\frac{-3}{4}

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

y=\frac{-3}{4} x+2

7 0
3 years ago
Read 2 more answers
The line CD passes through the points C (2, -1) and D (1, 1). Which of the
inn [45]

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

3 0
2 years ago
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