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3 years ago

2. Which expression is equal to: X + x + x + x A 4+x B) x - 4 © 4x D х 4

Mathematics

1 answer:

Masteriza [31]3 years ago

4 0

Answer:

C. 4x

Step-by-step explanation:

x means 1x, so the coefficient is 1.

1x + 1x + 1x + 1x

Ignore the x's for a bit.

1 + 1 + 1 + 1

That gives you 4

Hence 4x (don't forget the variable)

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Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square?

garri49 [273]

Given:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

Area of a square:

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

$A=s^2$

$A=8^2$

$A=64 \ in^2$

Thus, the area of the square is 64 square inches.

Area of the four circles:

The area of one circle is given by

$A=\pi r^2$

Substituting r = 2, we have;

$A=4 \pi$

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

Area of the remaining square:

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

$Area = 64-16 \pi$

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

5 0

3 years ago

What is the coefficient in the expression x / 3 + 7

galben [10]

1/3 is the coefficient. It's the number that is being multiplied with the variable.

6 0

4 years ago

Read 2 more answers

Y = (x + 3)^2 -4 and identify the axis of symmetry

Vikki [24]

Answer:

Step-by-step explanation:

the line for equation : x = - 3

7 0

4 years ago

A farmer who grows genetically engineered corn is experiencing trouble with corn borers. A random check of 5,000 ears revealed t

Ivenika [448]

Answer:

Probability that an ear of corn selected at random will contain no borers is 0.4966.

Step-by-step explanation:

We are given that the distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears.

Let X = Number of borers per ear

The probability distribution of the Poisson distribution is given by;

$P(X=x) = \frac{e^{-\lambda }\times \lambda^{x} }{x!} ; x = 0,1,2,3,......$

where, $\lambda$ = parameter of this distribution and in our question it is proportion of bores in the total ears = $\frac{3500}{5000}$ = 0.7

SO, X ~ Poisson( $\lambda$ = 0.7)

Now, probability that an ear of corn selected at random will contain no borers is given by = P(X = 0)

P(X = 0) = $\frac{e^{-0.7}\times 0.7^{0} }{0!}$

= $e^{-0.7}$ = 0.4966

Hence, the required probability is 0.4966.

6 0

3 years ago

-45 + s = -105, s = what is the answer

hjlf

Answer:

-60

Step-by-step explanation:

s=-105+45

=-60

hope it helps

4 0

3 years ago

2. Which expression is equal to: X + x + x + x A 4+x B) x - 4 © 4x D х 4​

2. Which expression is equal to: X + x + x + x A 4+x B) x - 4 © 4x D х 4