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andrezito [222]
2 years ago
6

Solve this please with steps b^4-3b^3-10b^2

Mathematics
1 answer:
gtnhenbr [62]2 years ago
8 0

Answer:

Step-by-step explanation:

There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.

b^4-3b^3-10b^2

First, factor out a b^2

b^2(b^2-3b-10)

Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2

b^2((b-5)(b+2))

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?
Andrew [12]

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

15^2=AB^2+12^2

solve for AB

AB^2=15^2-12^2\\AB^2=81\\AB=9\ units

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

6 0
3 years ago
......,................​
dem82 [27]

Answer:

A

Step-by-step explanation:

Given

4n² + 4(4m³ + 4n² ) ← distribute terms in parenthesis by 4

= 4n² + 16m³ + 16n² ← collect like terms

= (4n² + 16n²) + 16m³

= 20n² + 16m³

= 16m³ + 20n² ← in standard form → A

3 0
3 years ago
According to internal revenue records 1.65 of all household tax returns are audited.according to humane society 38% of all house
Paul [167]

Answer:

0.627%

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of a randomly selected household to be audited and owns a dog = P(A ∩ B) = P(A) x P(B)

where A = household tax returns audited

B = percentage of households that own dogs

0.0165 x 0.38 = 0.627%

4 0
2 years ago
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square
lianna [129]

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

8 0
3 years ago
Which pair of numbers has 2 as its greatest common factor
weeeeeb [17]

Answer:

6 and 12 have the greatest common factor of 2

5 0
2 years ago
Read 2 more answers
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