Where would -(-3) be on a number line?

The measure of the obtuse angle with vertex P is 30 degrees.

We have,

If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.

Let's call the measure of this obtuse angle x.

By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.

Therefore, we can write the equation:

60 degrees + 90 degrees + x = 180 degrees

Simplifying this equation, we get:

x = 180 degrees - 60 degrees - 90 degrees = 30 degrees

Therefore,

The measure of the obtuse angle with vertex P is 30 degrees.

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Answer it is 456y5445t6y5432

Step-by-step explanation:

ww

500 represents the initial amount of medication, since when t=0, a=500.

Answer:

It will be 2x -1

If x=2

2*2 - 1 = 4 - 1 = 3

Step-by-step explanation:

7 - x    If x=2

7 - 2 = 5

11 - 3x   If x=2

11 - 3*2 = 11 - 6 = 5

2x -1   If x=2

2*2 - 1 = 4 - 1 = 3

4x - 3    If x=2

4*2 - 3 = 8 - 3 = 5

Answer:

that's the answer

Step-by-step explanation:

for the next time, dont post you derivative questions on brainly, there is a lot of websites that can solve this for you with steps.

Answer: x = -1 or x = 5/3

Step-by-step explanation:

|3x - 1| = 4

=> 3x - 1 = 4 or 3x - 1 = -4

=>x = 5/3 or x = -1

Answer:

0.2005

Step-by-step explanation:

Mean, m = 65000

Standard deviation, σ= 7000

Sample size, n = 25

Let X = random variable of salary

Recall:

Z = (μ - x) /(σ/√n)

P(62500 ≤ x ≤ 64000) =?

Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)

P(2500 / 1400 ≤ z ≤ 1000/1400)

P = (1.79 ≤ z ≤ 0.714)

Using the normal distribution table or a Z probability calculator

0.4633 - 0.2624

= 0.2009

Answer:

\( \frac {x}{3} + 6 = 8 \)

Step-by-step explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; \( \frac {10}{5} = 2\)

Hence, translating the word problem in this scenario into an algebraic expression, we have;

\( \frac {x}{3} + 6 = 8 \)

Simplifying further, we have;

\( \frac {x}{3} = 8 - 6 \)

\( \frac {x}{3} = 2 \)

Cross-multiplying, we have;

x = 3 * 2

x = 6

Answer:

A=p2-2p-3

Step-by-step explanation:

The area for a triangle is given by:

A=1/2bh

The base is p + 1 and the height is 2p - 6. Therefore:

A=1/2(p+1)(2p-6)

Simplify the second term:

A=(p+1)(1/2)(2p-6)=(p+1)(p-3)

Distribute:

A=p(p-3)+1(p-3)

Distribute:

A=p2-3p+p-3

Combine like terms:

A=p2-2p-3

Answer:

It is also 124 degrees.

Step-by-step explanation:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

46 and -19

Step-by-step explanation:

That's the answer

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

\(2.83*10^{9}\)

Step-by-step explanation:

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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To solve the exercise you can first find the slope of the line using this formula

In this case, for example, you can take the points (-3,2) and (0,0). So, you have

Now, you can use the point-slope formula and solve for y. The point-slope formula is

So, you have

Therefore, the equation that best represents the graph is

Answer:

Step-by-step explanation:

It seems like you have provided the dimensions of a cylinder, not a cone. To calculate the volume of a cylinder with a diameter of 12 meters and a height of 2 meters, we can use the formula:

Volume = πr^2h

where r is the radius of the cylinder (half of the diameter). So first, we need to find the radius:

r = d/2 = 12/2 = 6 meters

Now we can plug in the values and calculate the volume:

Volume = π(6 meters)^2(2 meters)

Volume = π(36 square meters)(2 meters)

Volume = 72π cubic meters

Therefore, the volume of the cylinder is 72π cubic meters.

Answer:

40 inches = 3.33333333 feet.

40 ounces = 2.5 pounds.

Step-by-step explanation:

Hope this helped

Answer:

-4

Step-by-step explanation:

-4 is closer to 0 and -11 is further from xero making it it a less value than -4

Answer:

-1 is not in the domain of (f o g)(x)

Step-by-step explanation:

f(x) = sqrt(x - 9)

g(x) = -6x - 3

(f o g)(x) = f(g(x)) = sqrt(g(x) - 9)

(f o g)(x) = sqrt(-6x - 3 - 9)

(f o g)(x) = sqrt(-6x - 12)

Let x = -1:

(f o g)(-1) = sqrt(-6(-1) - 12)

(f o g)(-1) = sqrt(6 - 12)

(f o g)(-1) = sqrt(-6)

Since sqrt(-6) is not a real number, -1 is not in the domain of (f o g)(x).

Answer:

A, B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the perimeter of the rectangle

add the lengths of the rectangle's four sides

24 + 11 + 24 + 11 = 70

Answer:

Step-by-step explanation:

A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2

Answer:

c

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:-(-1,026/3

Step-by-step explanation:

Answer:

Step-by-step e6/8 or in simple terms, 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/2 is just 2/4

2/4+1/4 = 3/4

=)