please help i dont understand

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

Answer:

the correct answer is 2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

Unit rate is literally 1/x.

Step-by-step explanation:

U can figure out the rest!

Answer:

Domain:  ( − ∞ , ∞ )

Range:  ( 0 , ∞ )

Step-by-step explanation:

Let l be the length of the rectangle and w be the width of the rectangle. Therefore, the area of the rectangle is given by the formula:

We know that the area of the rectangle is given as 81m².

So, 81 = lw

Let's solve for w: w = 81/l

The perimeter of the rectangle is given by the formula: Perimeter of Rectangle = 2(Length + Width)P

= 2(l + w)

Substituting the value of w from the above equation: P = 2(l + 81/l) This is the required expression to calculate the perimeter of the rectangle in terms of length. In order to find the perimeter of a rectangle, we need to know the length and width of the rectangle. We can then use the formula for the perimeter of a rectangle, P = 2(l + w), and substitute the value of w that we just found: P = 2(l + 81/l) This is the required expression to calculate the perimeter of the rectangle in terms of length l.

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The results most probably be invalid because the subjects were voluntary sample.

What is sample in statistics?

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Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

b

Step-by-step explanation:

g

Answer:

Step-by-step explanation:

3x + y = 6

4x + 2y = 8

-6x - 2y = -12

4x + 2y = 8

-2x = - 4

x = 2

3(2) + y = 6

6 + y = 6

y = 0

(2,0)

Answer:

$1281.39

Step-by-step explanation:

use formula given

Answers ↓

angle 1 → 90°

angle 2→ 44°

angle 3 → 90°

angle 4 → 46°

I hope this helps u

Step-by-step explanation:

LCM of 7 and 5 is 35

now will make the denominator equal,

10+7/35

So, Ram's work = 10/35

Shyam's work = 7/35

so

Ram > Shyam

hope it helps

The proof of cosec(2A) + cot(4A) = cot(A) - cosec(4A)  is shown below.

Using the trigonometric identities:

cosec(θ) = 1/sin(θ)

cot(θ) = 1/tan(θ) = cos(θ)/sin(θ)

We can rewrite the equation as:

1/sin(2A) + cos(4A)/sin(4A) = cos(A)/sin(A) - 1/sin(4A)

Next, let's simplify the expression on the left side by finding a common denominator:

(sin(4A) + cos(4A))/(sin(2A) x sin(4A)) = cos(A)/sin(A) - 1/sin(4A)

[(cos(A) x sin(4A) - sin(A))/(sin(A)  x sin(4A))]  = [(cos(A) - sin(A))/(sin(A) x sin(4A))]

or, sin(4A) + cos(4A) = cos(A) - sin(A)

Using the double-angle identity sin(2A) = 2sin(A)cos(A):

2sin(A)cos(A) + cos(4A) = cos(A) - sin(A)

Next, double-angle identity cos(2A) = 1 - 2sin²(A):

2sin(A)cos(A) + cos(2A)cos(2A) = cos(A) - sin(A)

Using the identity cos(2A) = 1 - 2sin²(A) again:

2sin(A)cos(A) + (1 - 2sin²(A))(1 - 2sin²(A)) = cos(A) - sin(A)

Expanding and simplifying the equation:

2sin(A)cos(A) + 1 - 4sin²(A) + 4sin⁴(A) = cos(A) - sin(A)

4sin⁴(A) - 4sin²(A) + 2sin(A)cos(A) - sin(A) - cos(A) + 1 = 0

Now, let's factor the equation:

(2sin(A) - 1)(2sin(A) + 1)(2sin²(A) - 1) = 0

We know that sin(A) cannot be equal to 1 or -1, so the equation reduces to:

2sin²(A) - 1 = 0

This is equivalent to the identity sin²(A) + cos²(A) = 1, which is true for all angles A.

Therefore, the equation cosec(2A) + cot(4A) = cot(A) - cosec(4A) holds true.

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Answer:

h(0) = 10

h(4) = 16

Step-by-step explanation:

h(0) = 2(0)² - 3(0) + 10 = 10

h(4) = 2^4 = 16

If the points be, A(3, 2), B(-2, -3) and C(2, 3) then the given triangle is a right angled triangle.

The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two arms of the right angle.

By their angles, triangles can also be categorized. There are three sharp angles in a triangle (less than 90 degrees). There is a right angle and two acute angles in a right triangle. In addition, an acute triangle has two angles that are equal in size to the obtuse angle (which is more than 90 degrees).

Let the given points be, A(3, 2), B(-2, -3) and C(2, 3).

Therefore,

\($& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2} \text { units } \\\)

\($& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13} \text { units } \\\)

\($& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2} \text { units }\)

Now, we can see that,}

\($& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\($& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

The complete question is:

Do the points (3, 2), (-2, -3) and (2, 3) form a triangle? If so, name the type.

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The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer: [-4, 4]

Step-by-step explanation:

       The domain of a relation is all of the possible x-values graphed.

       This means everything between and including -4 and 4 is our domain. This can be written in a few different ways, but I am going to write it using interval notation. This means I will use brackets because the -4 and 4 are included in the domain.

       [-4, 4]

Answer: 1. 2a+14

               2.10x

              3.3m+3n

Step-by-step explanation: Hope this helps!

Answer:

x=\(\frac{x}{yz}\)

Answer:

119 degrees

Step-by-step explanation:

The angles are vertical, which means they have the same measurement.

"Vertical Angles are the angles opposite each other when two lines cross. Vertical, in this case, means they share the same Vertex"

Answer:

$12.45

Step-by-step explanation:

To find the rental cost, plug in 30 as x

c(x) = 0.09x + 9.75

c(30) = 0.09(30) + 9.75

c(30) = 12.45

So, the total rental cost for 30 miles is $12.45

Answer:

no solution

Step-by-step explanation:

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

Answer:

two or four

Step-by-step explanation:

Any degree-X polynomial can have up to 8 zeros (some of them can have multiciplity higher than 1).

The polynomial can be written as:

f(x) = (x-a)(x-b)(x-c)(x-d)(x-e)(x-f)(x-g)(x-h)

and we're already told that there are 2 x-intercepts, one with multiplicity 1. Let's assign those x-intercepts a and b=c=d (multiplicity 3).

We're left with (x-e)(x-f)(x-g)(x-h), where e, f, g and h need to be non-real complex numbers (otherwise they'd provide x-intercepts).

The complex zeros (more accurate term than imaginary) must come in pairs - if a number c is a zero of the function, its conjugate is a zero too. That means that we need to have an even number of complex zeros.

We can either have 4 distinct complex zeros, or 2 complex zeros, each with multiplicity of 2.

Solving a system of linear equations by the graphical method consists of representing the equations of the system and the solution of this is the point of intersection between the graphs.

Since a single line passes through 2 points, then to graph the first equation, you can give two arbitrary values to x, replace them in the equation and find their respective y-coordinates.

So if for example, you take x = 1 and x = 2, you have

Graph the ordered pairs found and join them to obtain the graph of the first equation:

Now do the same with the second equation. If for example, you take x = 0 and x = -1, you have

Graph the ordered pairs found and join them to obtain the graph of the second equation:

Finally, as you can see the graphs of the equations intersect in the ordered pair (-2, -1), therefore the solution of the given system of equations is

Answer:

3a + b = 180

Step-by-step explanation:

Supplementary angles are angles that, when added, equal 180 degrees.

Let's use a to represent the unknown angle, and b to represent its supplement:

3a + b = 180

According to the author  discusses Tanaina culture from the perspective of an informed outsider.

The correct option is D.

The author is neutral while also being well knowledgeable on the Tanaina people's subtleties. As a result, we can conclude that the author describes Tanaina Culture from the perspective of an informed outsider.

Tanaina religion was based on animism, which held that all things in nature were imbued with supernatural powers and that guardian spirits hovered over everyone. There were several taboos, tokens, and amulets. Shamanism was also quite influential; some shamans became chiefs.

The term comprehension refers to comprehending. When you don't understand a difficult word, you'll probably need to check it up in a cool, down-to-earth online dictionary!

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The total distance traveled over the interval 0 < t < 8 is: 32/3 + 16/3 + 176/3 = 224/3.

To find the displacement over the given interval, we need to integrate the velocity function:

∫v(t)dt = ∫(t^3 - 10t^2 + 24t)dt = (1/4)t^4 - (10/3)t^3 + 12t^2

Now we can evaluate the displacement over the different intervals:

0 < t < 4:

(1/4)(4)^4 - (10/3)(4)^3 + 12(4)^2 = 32/3

4 < t < 6:

(1/4)(6)^4 - (10/3)(6)^3 + 12(6)^2 - [(1/4)(4)^4 - (10/3)(4)^3 + 12(4)^2]

= -16/3

6 < t < 8:

(1/4)(8)^4 - (10/3)(8)^3 + 12(8)^2 - [(1/4)(6)^4 - (10/3)(6)^3 + 12(6)^2]

= 176/3

Therefore, the displacement over the entire interval 0 < t < 8 is:

32/3 - 16/3 + 176/3 = 64/3

To find the distance traveled over the given interval, we need to break down the motion into the different intervals of direction:

0 < t < 4: The particle is moving in the positive direction, so the distance traveled is the same as the displacement, which is 32/3.

4 < t < 6: The particle is moving in the negative direction, so the distance traveled is the absolute value of the displacement, which is 16/3.

6 < t < 8: The particle is moving in the positive direction, so the distance traveled is the same as the displacement, which is 176/3.

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The total distance traveled over the interval 0 < t < 8 is: 32/3 + 16/3 + 176/3 = 224/3.

To find the displacement over the given interval, we need to integrate the velocity function:

∫v(t)dt = ∫(t^3 - 10t^2 + 24t)dt = (1/4)t^4 - (10/3)t^3 + 12t^2

Now we can evaluate the displacement over the different intervals:

0 < t < 4:

(1/4)(4)^4 - (10/3)(4)^3 + 12(4)^2 = 32/3

4 < t < 6:

(1/4)(6)^4 - (10/3)(6)^3 + 12(6)^2 - [(1/4)(4)^4 - (10/3)(4)^3 + 12(4)^2]

= -16/3

6 < t < 8:

(1/4)(8)^4 - (10/3)(8)^3 + 12(8)^2 - [(1/4)(6)^4 - (10/3)(6)^3 + 12(6)^2]

= 176/3

Therefore, the displacement over the entire interval 0 < t < 8 is:

32/3 - 16/3 + 176/3 = 64/3

To find the distance traveled over the given interval, we need to break down the motion into the different intervals of direction:

0 < t < 4: The particle is moving in the positive direction, so the distance traveled is the same as the displacement, which is 32/3.

4 < t < 6: The particle is moving in the negative direction, so the distance traveled is the absolute value of the displacement, which is 16/3.

6 < t < 8: The particle is moving in the positive direction, so the distance traveled is the same as the displacement, which is 176/3.

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Answer:

p + n ≠ 18

Step-by-step explanation: