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3 years ago

15

What restrictions are there on the range of the function H(w) below?

1 answer:

Aleksandr-060686 [28]3 years ago

5 0

Answer:H(w) > 0

Step-by-step explanation:

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Your friend Jamie rolled a number cube and got the number 5. in his next turn he says he won’t be able to roll another 5 because

konstantin123 [22]

No, the probability of getting a 5 is 1/6, but you could roll any number of fives in a row. It is just as likely to get rolled the second time as it was the first.

8 0

3 years ago

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Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u /> $a^2=b^2+c^2-2bc\cdot cos(A)$

<u>Identify angles and sides</u>

<u /> $m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

<u>Solve for side "a"</u>

<u /> $a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

8 0

2 years ago

The factorization of x2 + 3x – 4 is modeled with algebra

meriva

Option C: (x+4) and (x-1) are the factors of the equation

Explanation:

Given that the equation is $x^{2} +3x-4$

We need to determine the factors of the equation.

Splitting the middle term, we get,

$x^{2} +4x-x-4$

Grouping the terms, we have,

$x(x+4)-1(x+4)$

Let us factor out the term (x+4), we have,

$(x+4)(x-1)$

Thus, the factors of the equation are (x+4) and (x-1)

Hence, Option C is the correct answer.

4 0

3 years ago

A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.

kenny6666 [7]

Answer:

$p:y = 3x-10$

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

$A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3$

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

$y - y_1 = m(x - x_1)$

The point intercept form of line can be written as:

$y = mx + c$

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

$y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10$

which is the required slope intercept equation of line p.

4 0

3 years ago

Which term is a perfect square of the root 3x4?<br>

KiRa [710]

Answer:

2√3

Step-by-step explanation:

√3x4 = √12 = 2√3

5 0

3 years ago

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