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garik1379 [7]
2 years ago
7

A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius

r increases at the rate of 0.07 inches per second, and that r = 36 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t, and find the volume when t = 400 seconds.
Mathematics
1 answer:
lord [1]2 years ago
7 0
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form y=mx+c where m is the rate of increase and c is the value of y when x=0

We have 
m = 0.07 
c=36 when t=0

So the equation is r=0.07t+36

The length of the radius when t=400 seconds is
r=0.07(400)+36
r=64 inches
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Can a triangle be formed with side lengths 15, 7, and 6? Explain.
Blizzard [7]

Answer:

<h3>No.</h3>

Step-by-step explanation:

The sides would be unbalanced. To get the sides of a triangle, you have to add up the first two sides. The two sides combined usually have to be less than or equal to 15 to be considered "balanced". 22 is greater than 15, so that would leave you with an unbalanced triangle, sometimes considered degenerate. A degenerate triangle is a flat triangle that almost looks like a line. The triangle's vertices all lie on the same line, which makes it look very flat. That's why degenerate triangles are rarely considered "balanced" in regards to unit measures. So, given this is an unbalanced triangle, the answer to your question would be no.

Hope this helps!

6 0
1 year ago
The equations in elimination method are written in the standard form as _______________.ax - by = cax + by + c = 0Ax + By = Cax
laiz [17]

Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

Ax+By=C

8 0
10 months ago
The base of a parallelogram is 21 yards. Find the height if the area of the parallelogram is 525 square
11Alexandr11 [23.1K]

Answer:

25 yards

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

  1. Opposite sides  and angles are congruent .
  2. Opposite angels are congruent (D = B).
  3. Consecutive angles are supplementary (A + D = 180°).  
  4. The diagonals bisect each other

Area of a parallelogram = base x height

Area = 525

base = 21 yards

height = ?

525 = 21 x height

divide both sides of the equation by 21 to find the value of the height

525 / 21 = height

height = 25 yards

5 0
3 years ago
Which expression results in a sum or difference of five and six fifty fourths? (3 points) a eight and seven ninths minus three a
Genrish500 [490]

Answer:

a)  eight and seven ninths minus three and four sixths

Step-by-step explanation:

The required result is 5\frac{6}{54}

a)

8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9}  -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}

b)

6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9}  -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}

c)

4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9}  +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}

d)

3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9}  +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}

6 0
2 years ago
Drag one or more expressions into each box to
ASHA 777 [7]

Answer:

the right answer is x(x+2)

3 0
3 years ago
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