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White raven [17]
3 years ago
11

Including the bus driver, there are 15 people on a bus. During the bus ride, each person produces 750 BTUs (British Thermal Unit

s). The interior of the bus measures 38 feet by 8.5 feet by 6.25 feet. How many BTUs per cubic foot are produced? Enter your answer, rounded to the nearest hundredth, in the box.
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
It is going to be 5.57 BTUs per ft^3
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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
What is the slope of a line that contains the points(-13,8) and (-2,-1)
anygoal [31]

Answer:

slope = -(9/11)

Step-by-step explanation:

slope=\frac{-1-8}{-2-(-13)} =\frac{-9}{-2+13} =-\frac{9}{11}

I hope this help you

7 0
2 years ago
Find the slope-intercept form of the lines with the following properties.
Vikentia [17]

Hello!

If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.

m = 3, y = 3x + b (substitute the ordered pair)

4 = 3(1) + b (simplify)

4 = 3 + b (subtract 3 from both sides)

b = 1

Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.

6 0
3 years ago
The following formula relates 3 equantities: force(F),mass(m),and acceleration(a)
weqwewe [10]
We know, Force = mass × acceleration


( i ) :

Given,
Force = 25 units
Mass = 10 units
Acceleration = ?


Solution,

Applying the formula of force,
➡ Force = mass × Acceleration

⏩ 25 = 10 × acceleration

⏩ 25 / 10 =acceleration

⏩ 2.5 units = acceleration




( ii ) :


Given,
Force = 25 units
Acceleration = 5 units
Mass =?



Solution :

Applying formula,
➡ Force = mass × acceleration

⏩ 25 = 5 × mass

⏩ 25 / 5 = mass

⏩ 5 units = mass



\:
5 0
3 years ago
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