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Shkiper50 [21]
2 years ago
15

5 in

Mathematics
1 answer:
Ugo [173]2 years ago
5 0

Step-by-step explanation:

for such regular figures the volume is always

ground area × height.

the volume of the green box (bar on a rectangle) at the bottom is therefore

16×7×3 = 336 in³

the volume of the red object on top (based on a right-angled triangle) we get

5×3/2 × 6 = 5×3×3 = 45 in³

so, the total volume is the sum of both sub-volumes :

336 + 45 = 381 in³

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In 2015 there were 759 laptops at lightning high school starting a 2016 the school box 75 more laptops at the end of each year t
nikdorinn [45]

Answer:

Step-by-step explanation:

Given the following :

Number of laptops in 2015 = 759

t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.

Number of laptops in the school in 2020:

4 0
3 years ago
City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

6 0
3 years ago
Find the value of x and the value of y.
kodGreya [7K]

Answer:

6√3 = x           y =12

Step-by-step explanation:

Since the two sides of the triangles have equal angles then two sides have equal length

the sum of interior angles of triangles is 180° then the last angle is 60°

then the triangles have perfect sides of 12

y = 12

to calculate x

sin Ф = opposite/hypothenus

sin 60° = x/12

sin 60° = √3/2

( √3/2 )  x 12  = x

6√3 = x

3 0
3 years ago
A rectangular garden has a length that is modeled by the expression 2 x – 7 and a width of 3 x 2 + 4 x. Part A: What is the area
borishaifa [10]
Area: (2x - 7) * (3*2 + 4x)
          (2x - 7) * (6 + 4x)
                  8x-42

Perimeter: 2(2x - 7) + 2(3*2 + 4x)
5 0
3 years ago
Read 2 more answers
Suppose f(x)=x^3 find the graph of f(x+1)
Basile [38]
F(x+1) = (x + 1)^3
= 3x + 3
= 3(0) + 3
= 3


I think is 3
5 0
3 years ago
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