Two parallel lines, m and n, are cut by the transversal k as shown. suppose m∠1 = 60°. Complete the statements below.

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Given:

The unit population density of a state is 104 people per mi².

Also, the state has 196,352mi².

Therefore, the population of the state will be the multiplication of the unit population density and the square miles of the state.

Hence,

Therefore, the population of the state is 20,420,608 people.

Answer:

764,000

Step-by-step explanation:

multiply 10 to each other 5 times, then multiply 100,000 by 7.64

The answer you are looking for is 764,000.

Solution/Explanation:

Writing out the problem

7.64×10⁵

Since 10⁵ or 10×10×10×10×10=100,000

We can write this:

7.64×100,000

When you multiply these together, you will get 764,000.

So, therefore, the final answer to your question is 764,000.

Hope that this has helped answer your question for you. Good day to you.

Answer:

amita can only use and it is only 2

2

The answer is, the object will hit the ground after 6 seconds.

The red point indicates the time when the object will hit the ground. As you can see in the graph is after 6 seconds.

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

Given:

Graph of function.

Sol:

Non-linear of any function is defined as a graph which not a straight line and a given graph is not a straight line so it's a non-linear graph.

Decreasing function: If the value of "x" increases then the value of y decreases so it's a decreasing function.

So the -2 to 1 function is decreasing.

Increasing Function: if "x" is increasing the value of "y" is also increase

Part A.

The speed is given by

In our case, the distance is 3.8x10^5 kilometers and the time is 2.16x10^3 minutes. By substituting these values we get

Part B.

We can rewrite the speed as

which is the product of two fractions.

Part C.

The first fraction is

and the second fraction is

This fraction can be written as

Therefore, the answers for part C are

Part D.

Yes, the values are written in scientific notation. Then, the speed is given by

which gives

then, the result is

We get the length of AC as 14 units when we have AC = x, BC = 2 x - 18 and AB = 4 units.

We are given that the length of AB = 4.

We are also given the expressions:

AC = x and BC = 2 x - 18

We need to find the value of AC

We know that:

AB + BC = AC

Substituting he values, we get that:

4 + 2 x - 18 = x

Combining the like terms, we get that:

2 x - 14 = x

2 x - x = 14

x = 14

So, we get that,

AC = x

AC = 14 units.

Therefore, we get the length of AC as 14 units when we have AC = x, BC = 2 x - 18 and AB = 4 units.

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The number of ways that the spinner can be colored is 21 ways.

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Based on the information given, the number of ways will be to select 2 out of 7. This will be:

= 7! / (7 - 2)!2!

= 7! /5!2!

= (7 × 6) / 2

= 42/2

= 21

There'll be 21 ways.

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Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

(0,10)

Step-by-step explanation:

Answer:

(0,10)

Step-by-step explanation:

See picture

Answer:

Step-by-step explanation:

$37.76

Step-by-step explanation:

32*1.18=37.76.

Hope this helps!

Answer:

Yup that's a scientific number alright.

Answer:

Step-by-step explanation:

The scientific notation 1019e-9 is same as 1019×10^-9 or 1019×10-9. Thus, to get the answer to 1019e-9 as a decimal, we multiply 1019 by 10 to the power of -9.

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

I don’t understand you language

Step-by-step explanation:

Make it in English

Deena is 420 miles from home in 12 hours.

The graph is shown below. The graph is linear

From the question, we are to determine how far Deena is from home in 12 hours

From the given linear equation,

y = 35x

We are to determine how far Deena is from home in 12 hours

That is,

x = 12 hours

Put x = 12 into the equation,

∴y = 35(12)
y = 420 miles

Hence, Deena is 420 miles from home in 12 hours.

The graph is shown below. The graph is linear

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Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

Step-by-step explanation:

\(\mathrm{4(2y-4)-11y}\)

Apply the distributive property:-

\(\mathrm{8y-16-11y}\)

Combine like terms:-

\(\mathrm{8y-11y=\bf-3y}\)

\(\mathrm{-3y-16}\)

_________________________

Hope this helps! :)

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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Answer:

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events (9/10).

0.729

The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

6

Step-by-step explanation: