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Tatiana [17]
3 years ago
8

A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are doubled.

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
4 0
The formula for the surface area of a prism is
A = 2 (wh + wl + lh)
where A is the surface area
w is the width
l is the length
h is the height

w = 8 x 2 = 16
l = 6 x 2 = 12
h = 4 x 2 = 8
substitute to the given formula

A = 2 ( (16 x 12) + ( 16 x 8 ) + ( 12 x 8) )
A = 832 sq cm is the surface area of the new rectangular prism
Levart [38]3 years ago
3 0

Answer:

832 cm2

Step-by-step explanation:

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Why is the answer C?
baherus [9]

Step-by-step explanation:

∫₋₂² (f(x) + 6) dx

Split the integral:

∫₋₂² f(x) dx + ∫₋₂² 6 dx

Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0.  But we can also show this algebraically.

Split the first integral:

∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Using substitution, write the first integral in terms of -x.

∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Flip the limits and multiply by -1.

∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Rewrite f(-x) as -f(x).

∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

The integrals cancel out:

∫₋₂² 6 dx

Evaluating:

6x |₋₂²

6 (2 − (-2))

24

6 0
3 years ago
Calculate the constant of variation if y varies directly as x.
timama [110]
You have not provided the complete question (value of y at a certain value of x), therefore, I cannot give u a specific final answer. However, I can explain how to solve this problem and you can apply on the numbers you have.

y varies directly with x means that as x increases, y also increases and vice versa.
This can be represented by the following equation:
y = kx
where k is the constant of proportionality.

Solving this for k, we would find that:
k = y/x

Examples:
If we are given that y = 4 at x = 2, then:
k = y/x = 4/2 = 2
If we are given that y = 1 at x = 3, then:
k = y/x = 1/3
In general, if we are given that y = a at x = b, then:
k = a/b

Hope this helps :)
6 0
3 years ago
Billy's plant grows at least 2 inches a month.
emmainna [20.7K]
We can assume that this growth rate can be expressed as y = mx + b as long as the slope is constant, because a quadratic or exponential formula wouldn't make much sense in this situation. If it is growing at least 2 inches a month, the slope (m) will be 2. As x (month) increases by 1 month, y (plant's height) increases by 2 inches. You could make it more, but as long as you plot the points in such a way that the slope for these points are 2 or higher, you will get the answer correct. If you have any other questions or need to clarify more about what you wanted let me know and I'll help.
5 0
3 years ago
Read 2 more answers
Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind
LUCKY_DIMON [66]

Answer:

D. 11

Step-by-step explanation:

T = total savings

w = number of weeks

Paige:

T = 350 + 25w

Cindy:

T = 190 + 40w

In how many weeks will Cindy have more money in her savings than Paige

Equate the total savings of both of them

350 + 25w = 190 + 40w

Collect like terms

350 - 190 = 40w - 25w

160 = 15w

w = 160/15

w = 10.67

Approximately,

In 11 weeks, will Cindy have more money in her savings than Paige

Check:

Paige:

T = 350 + 25w

= 350 + 25(11)

= 350 + 275

= 625

Cindy:

T = 190 + 40w

= 190 + 40(11)

= 190 + 440

= 630

3 0
3 years ago
5. ALGEBRA Reka Maharis drove her vehicle to and from
Marta_Voda [28]

Answer:

the number of miles is 14,722

Step-by-step explanation:

The computation of the number of miles drive last year is shown below:

= Total cost ÷ cost per mile

= $1,560 + $3,740 ÷ $0.36 per mile

= $5,300 ÷ $0.36 per mile

= 14,722 miles

Hence, the number of miles is 14,722

7 0
3 years ago
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