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3 years ago

What is the value of the expression? 4 to the second power plus 3 to the 3rd power

2 answers:

7 0

$4\ to\ the\ second\ power=4^2=4\cdot4=16\\\\3\ to\ the\ 3rd\ power=3^3=3\cdot3\cdot3=9\cdot3=27\\\\4\ to\ the\ second\ power\ plus\ 3\ to\ the\ 3rd\ power:\\\\4^2+3^3=16+27=\huge\boxed{43}$

Romashka-Z-Leto [24]3 years ago

3 0

4 to the second power: 4²
3 to the third power: 3³
4*4=16
3*3*3=27
16+27=43

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Rewrite the expression as an algebraic expression in x. <br> cos(tan−1 x)

zhenek [66]

It's hard to type and hard to read the "inverse tangent" function, as you've seen (above).

So, use "arctan x" instead.

Then the problem becomes: "differentiate cos (arctan x)."

You must apply first the rule for differentiating the cosine function, and next apply the rule for differentiating the arctan function:

(d/dx) cos (arctan x) = - sin (arctan x) * [1/(1+x^2)]

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2 years ago

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ladessa [460]

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2 years ago

Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8 What is P(B) written as a decimal? Round to

Leona [35]

P(B) = 0.75.

For independent events, P(A and B) = P(A)*P(B). This gives us

1/8 = 1/6(x)

Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
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5 0

3 years ago

PLLSSSSSSS ASAP ANSWER BRAINLIEST

Kisachek [45]

Answer:

Table C

Step-by-step explanation:

To find the constant of proportionality, you need to divide y by x

Table A has a constant of proportionality of $\frac{1}{3}$ <em>which is 0.3333 repeating</em>

Table B has a constant of proportionality of $\frac{3}{5}$ <em>which is 0.6</em>

Table C has a constant of proportionality of $\frac{3}{10}$ <em> which is 0.3</em>

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3 years ago

ABCD is a trapezium AD and BC are parallel

Orlov [11]

Part (a)

<h3>Answer: 12.1</h3>

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

<h3>Answer: 15.1</h3>

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

$C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\$

$d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\$

Segment CD is roughly 15.1 cm long.

3 0

2 years ago

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