Find the LCM of 200 and 240.

A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank. 15 yd, 12yd,

slavikrds [6]

Answer:

1440 yd³

1200 yd³

Step-by-step explanation:

A local aquarium purchased a new turtle tank for their giant turtle exhibit for their giant turtle exhibit.

By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid

We can determine volume by using the formula i.e

V = (Length) × (Width) × (Height),

then the volume of the tank will be

V = 15 × 12 × 8 =

V=1440 yd³.

Now , by using dimensions 15 yd by 8 yd by 10 yd

The volume will be,

V = 15 × 8 × 10 = 1200yd³

6 0

3 years ago

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to

satela [25.4K]

Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

$\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\ \\ \Rightarrow y-2=-7x \\ \\ \Rightarrow y=-7x+2$

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

$\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\ \\ \Rightarrow y-1=2(x-4)=2x-8 \\ \\ \Rightarrow y=2x-7$

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is (1, -5)

Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).

Part C:

From part A, we have that p(x) = -7x + 2, given that $g(x) = 1 + 1.5^x$

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0

3 years ago

Which of the following statements are never true? Select all that apply. Three points are coplanar Two planes meet in exactly on

statuscvo [17]

Answer: Two planes meet in exactly one point

Two lines meet at exactly two points

Step-by-step explanation:

From the given statements there are two statements which are never true :-

1) Two planes meet in exactly one point .

Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.

2) Two lines meet at exactly two points

Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.

7 0

3 years ago

Paolo says that his bicycle is hard to pedal. Mia looks at the bicycle and tells him he needs to oil the chain. Explain why oili

fgiga [73]

It would help the chain run smoother and work better and faster.

6 0

3 years ago

Read 2 more answers

What is the domain and range of each function graohed below?

andriy [413]

Domain is the x values you can use
range is the y values

a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)

range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)

b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]

range is from -4 to 2, not including -4
range is R=(-4,2]

5 0

3 years ago

Read 2 more answers