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3 years ago

Place the indicated product in the proper location on the grid. (3x^2y^6)^7

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

(3x²y⁶)⁷
(3x²y⁶)(3x²y⁶)(3x²y⁶)(3x²y⁶)(3x²y⁶)(3x²y⁶)(3x²y⁶)
2187x¹⁴y⁴²

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Comment all that apply

choli [55]

90°
∠AEF is a right angle
∠CEF is a straight angle
m∠CEF = m∠CEA + m∠BEF

4 0

3 years ago

The formula is not giving me the answer I want

il63 [147K]

so is this the formula you trying to get an an see for?

4 0

3 years ago

david a high school senior was wondering if the cost of attending college is worth the expense. he collected the following data

dimulka [17.4K]

Answer:

Part A: Based on the information collected, who will have the higher mean annual salary?

College graduates have a higher mean by about $20,000

Part B: If you were to graph this data, what would be important to consider?

The data should be graphed on the same axis and scale so comparisons are possible

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

4 0

3 years ago

If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.

Ivenika [448]

Answer:

The answer to your question is: (2a + 2b)²

Step-by-step explanation:

a² + b² = z

ab = y

Which is equivalent to 4z + 8y ?

Substitution

4(a² + b²) + 8(ab)

Simplify 4a² + 4b² + 8ab

Order 4a² + 8ab + 4b² It's a perfect square trynomial

Factorize (2a + 2b)²

7 0

3 years ago

Read 2 more answers