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monitta
3 years ago
15

Mrs. Patterson but a set of building blocks for her son each cube shaped block measured 4 cm on one side what is the volume of s

ix building blocks
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Given:

The shape of all building blocks is a cube of side 4 cm.

To find:

The volume of six building blocks.

Solution:

Volume of a cube is:

V=a^3

Where, a is the side length of the cube.

Putting a=4, we get

V=(4)^3

V=64

It means the volume of each building block is 64 cubic cm.

Now, the volume of six building blocks is

Volume=6\times V

Volume=6\times 64

Volume=384

Therefore, the volume of six building blocks is 384 cubic cm.

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Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa
Misha Larkins [42]

Answer:

y = 2x − 1

Step-by-step explanation:

By eliminating the parameter, first solve for t:

x = 4 + ln(t)

x − 4 = ln(t)

e^(x − 4) = t

Substitute:

y = t² + 6

y = (e^(x − 4))² + 6

y = e^(2x − 8) + 6

Taking derivative using chain rule:

dy/dx = e^(2x − 8) (2)

dy/dx = 2 e^(2x − 8)

Evaluating at x = 4:

dy/dx = 2 e^(8 − 8)

dy/dx = 2

Writing equation of line using point-slope form:

y − 7 = 2 (x − 4)

y = 2x − 1

Now, without eliminating the parameter, take derivative with respect to t:

x = 4 + ln(t)

dx/dt = 1/t

y = t² + 6

dy/dt = 2t

Finding dy/dx:

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t) / (1/t)

dy/dx = 2t²

At the point (4, 7), t = 1.  Evaluating the derivative:

dy/dx = 2(1)²

dy/dx = 2

Writing equation of line using point-slope form:

y − 7 = 2 (x − 4)

y = 2x − 1

6 0
3 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?
WARRIOR [948]
Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6

Comparing this to the original equation, f(x) = x^2, we have the following transformations:

The graph is widened.
The graph is shifted left 3 units.
6 0
4 years ago
Luis jumped 73 inches. Kathy jumped 59 inches
hammer [34]

Answer:

14

Step-by-step explanation:

73 - 59=14

4 0
4 years ago
Read 2 more answers
Solve for x.<br><br> x2−10=−5<br><br><br><br> x=±5√<br><br> x=±15−−√<br><br> x=±35√<br><br> x=±50−−√
aksik [14]

Answer:

x=±5√

hope this helped

Brainliest?

5 0
3 years ago
Read 2 more answers
Pls help imma give brainly
meriva

Answer:

D. 62.8 in.

Step-by-step explanation:

<u>Given:</u>

C=?

D=r*2=10*2=20<u><em>(r=radius which in this case is 10. Multiply by 2 to get diameter)</em></u>

π=3.14

<u>Explanation:</u>

C=(3.14)(20)

C=62.8

6 0
3 years ago
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