PLEASE HELP ME
Write the equation from each line

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Answer:

x=5

Step-by-step explanation:

Since the triangles are similar we can use ratios to solve

4.5     7.5

---- = ------

3            x

Using cross products

4.5x = 3 * 7.5

4.5x = 22.5

Divide each side by 4.5

x = 22.5/4.5

x=5

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Answer:

She would have written 6 2/3 pages.

Step-by-step explanation:

2 2/3 pages = 1 hour

6 2/3 pages = 2 1/2 hours

The function that represents the graph below is given as follows:

c. y = 4x³.

Before defining the function which defines the graph, we must obtain the domain and the range of the function, as follows:

As the function has a range of all real values, we know that it is a cube function and not a square function, removing options a and b.

The function is positive and negative as follows:

Hence the function has a positive leading coefficient, meaning that option c is the correct option.

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Answer:

StartFraction sugar Over flour EndFraction

Step-by-step explanation:

cups of milk = 3

cups of flour = 6

cups of sugar = 2

cup of oil = 1

Milk : flour

= 3 : 6

= 1 : 2

= 1/2

Sugar : milk

2 : 3

= 2 / 3

Oil : sugar

1 : 2

= 1 /2

Sugar : flour

2 : 6

= 1 : 3

= 1/3

The lowest ratio is StartFraction sugar Over flour EndFraction

StartFraction milk Over flour EndFraction .

StartFraction sugar Over milk EndFraction

StartFraction oil Over sugar EndFraction

StartFraction sugar Over flour EndFraction

Answer:

THE ANSWER IS D

Step-by-step explanation:

edg mannnn

Answer:

12 1/9 \(\sqrt{3}\)

Step-by-step explanation:

Answer:

Yes, because lines m1 and m2 have the same slope of -2

Step-by-step explanation:

For given two lines L1 and L2 with slope m1 and m2 respectively, the condition for the two lines to be parallel is for the two equations to have the same slope. If m1 = m2, the meaning is that the line L1 and L2 are parallel to each other no matter the equation of the lines in question.

The general equation of a line is y = mx+c where;

m is the slope and c is the intercept.

Even though we are not given the equation of both lines, the base line is that for two lines to be parallel to each other, they must have the same slope.

The correct option is therefore "Yes, because lines m1 and m2 have the same slope of -2"

If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero, then there is no significant difference in the shelf life of the two brands of doughnuts. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero, then there is a significant difference in the shelf life of the two brands.

Based on the question, a grocery store wants to determine whether there is a difference in the shelf life of two different brands of doughnuts.

They took a random sample of 40 boxes of each brand and determined the shelf life in days. A 95% confidence interval for the difference in mean shelf life between Brand A and Brand B was found.

Unfortunately, you didn't provide the actual values of the confidence interval. However, I can still explain how to interpret it.

1. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero (e.g., -2 to 3 days), then there is no significant difference in the shelf life of the two brands of doughnuts. This means that at a 95% confidence level, we cannot conclude that one brand has a longer or shorter shelf life than the other.

2. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero (e.g., 1 to 4 days), then there is a significant difference in the shelf life of the two brands. This means that at a 95% confidence level, we can conclude that one brand has a longer or shorter shelf life than the other, depending on the sign of the interval (positive or negative).

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Answer:

\((x+1-i)(x+1+i)\)

Step-by-step explanation:

\((x+1-i)(x+1+i)\\\\=(x+1)^2 -i^2~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=x^2 +2x +1 -(-1)\\\\=x^2 +2x +1+1\\\\=x^2 +2x +2\)

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

A) 11,752.8 feet

B) 105,715.8 feet

C)The helicopter

Step-by-step explanation:

Helicopter:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(5280^{2}\) + \(10500^{2}\) = \(c^{2}\)

27878400 + 110250000 = \(c^{2}\)

138128400 = \(c^{2}\)

\(\sqrt{138128400}\) = \(\sqrt{c^{2} }\)

11752.8 ≈ c  Answer is rounded to the nearest tenth

Plane:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(4500^{2}\) + \(10560^{2}\) = \(c^{2}\)

20250000 + 11155584400 = \(c^{2}\)

11175834400 = \(c^{2}\)

\(\sqrt{11175834400}\) = \(\sqrt{c^{2} }\)

105715.8 =c Rounded to the nearest tenth

Answer:

D) $4.00

Step-by-step explanation:

This is because looking closely, the slope is 8/2, it goes up 8 and over 2 make it 8 divided by 2 giving you 4, therefore the choice narrow down to 4, or 4 dollars

Answer:

Nina has drove 80 mph.

Step-by-step explanation:

400 miles 5 hours

400 dived by 5= 80

Answer:

10

Step-by-step explanation:

E = V + 1/2mv^2

700 = 300 + 1/2*8*v^2

400 = 4v^2

100 = v^2

v = 10

=================================================

Explanation:

Let's isolate x in the first equation.

x-2y = 3

x = 3+2y

Then we'll plug this into the second equation

Afterwards, solve for y.

2x + 4y = 6

2(3+2y)+4y = 6

6+4y+4y = 6

8y+6 = 6

8y = 6-6

8y = 0

y = 0/8

y = 0

Use this to find x.

x = 3+2y

x = 3+2(0)

x = 3

The solution is therefore (x,y) = (3, 0)

If you were to graph both lines, then they would intersect at the location (3,0).

-----------------------------

Checking the answer:

Plug x = 3 and y = 0 into the first equation.

x-2y = 3

3-2(0) = 3

3 - 0 = 3

3 = 3 that works

Repeat for the other equation

2x+4y = 6

2(3) + 4(0) = 6

6 + 0 = 6

6 = 6 that works as well

Both equations are true when (x,y) = (3,0).

The solution is confirmed.

Answer:

4x+3150-6x=2876

-2x=-274

x=137

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.

Paul.

The solution of the given situation is that about 137 childern tickets were sold and 388 admission tickets were sold.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium.

Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold then the equation is;

4x+3150-6x=2876

-2x=-274

x=137

Now,

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 admission tickets were sold.

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So the value of x is 10

Given that line GI bisects angle DGH so that the measurement of angle DGI is x-3 and the measurement of angle IGH is 2x-13.

Since GI bisects that means the angle is cut into 2 equal angles or

DGI = IGH

Bisect means to cut into two even halves. If you bisect a 90 degree angle you create two 45 degree angles,

So by bisection

x - 3 = 2x - 13

Solving for x

13 - 3 = 2x - x

10 = x

or

x = 10

Therefore the value of x is 10.

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20882

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

The vector v1 from point O to point E is given by <Δx, Δy, Δz>.

The vector v1 from point o to point e is the directed line segment that connects point o to point e. In other words, it is the vector that starts at point o and ends at point e.

To find the vector v 1, you can subtract the coordinates of point o from the coordinates of point e. Thus, v 1 = (xe - xo)i + (ye - yo)j + (ze - zo)k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

To find the vector v1 from point O to point E, you need to follow these steps:

Step 1: Identify the coordinates of point O and point E. Let's assume the coordinates of point O are (x1, y1, z1) and point E are (x2, y2, z2).

Step 2: Calculate the differences between the coordinates of point E and point O. Subtract the coordinates of point O from point E:
Δx = x2 - x1
Δy = y2 - y1
Δz = z2 - z1

Step 3: Represent the vector v1 from point O to point E using the differences in coordinates:
v1 = <Δx, Δy, Δz>

That's it! The vector v1 from point O to point E is given by <Δx, Δy, Δz>.

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Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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Answer:

r = \(\sqrt{\frac{V}{h\pi } }\)

Step-by-step explanation:

V = πr²h ( isolate r² by dividing both sides by hπ )

\(\frac{V}{h\pi }\) = r² ( take square root of both sides )

\(\sqrt{\frac{V}{h\pi } }\) = r

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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The equation for the forested area for t years after 1990 is  

y =  34400 \((0.983)^t\).

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Here the initial forest area a = 34400 square kilometer.

Average rate = 1.7% = 1.7/100 = 0.017.

Now using exponential decay formula then,

=> y = a\((1-b)^t\)

Where t = number of years.

=> y = 34400(\(1-0.017)^t\)

=> y =  34400 \((0.983)^t\)

Hence the equation for the forested area for t years after 1990 is  

y =  34400 \((0.983)^t\).

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Answer:

195

Step-by-step explanation:

Answer:

The temperature at 9 am = -14.7°F

Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F

Between 12pm and 3 pm = 3.1+5.1 = 8.2°

Between 3pm and 6 pm = 8.2-14.5 = -6.3°F

Answer:

Well x=3.375

Step-by-step explanation:

That's all I got.... sorry......

Answer:

4.9 in =34.3 ft

1.6 in= 11.2 ft

The area of the rectangle is 384.16 ft?

Step-by-step explanation:

I took the test and got it right :)