Given AC with A(3, 4) and C(-9, -2), if B partitions AC such that the ratio of AB to BC is 1:5, find the coordinates of B.

Answer:

x=79

Step-by-step explanation:

180-101=79

Jesus loves you!

Answer:

It is 79

Step-by-step explanation:

Since the lines are parrelel that means that the angle that is next to the 101 is corresponding to x. So then we do 180-101 which is 79

If the size of an object doubles, the new distance needs to be square root of 2 times the original distance to keep the same angular size.

To relate the size of an object (x) to the distance to the object (d), you can use the small-angle formula. This formula is θ = x/d, where θ represents the angular size of the object.

If the size of an object doubles, you need to find the new distance (c) in order to keep the angular size the same.

To calculate the new distance (c), you can rearrange the small-angle formula. Since the angular size (θ) remains the same, the new size of the object will be 2x.

So, the equation becomes θ = 2x/c.

To find the new distance (c), you need to solve for c. Rearrange the equation as c = 2x/θ.

Now you can plug in the values for the new size of the object (2x) and the angular size (θ) to calculate the new distance (c).

Remember to use consistent units for accurate results.

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An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.

Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.

A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions

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Graphing the equation 3x - 2y = -6 over the range x = -10 to x = 10:

To graph the equation 3x - 2y = -6, we need to rearrange it in the form y = mx + b, where m is the slope and b is the y-intercept.

3x - 2y = -6

-2y = -3x - 6

Divide both sides by -2:

y = (3/2)x + 3

Now we have the equation in slope-intercept form.

To graph the equation, we can plot a few points and draw a line through them. Let's choose some x-values from the range -10 to 10 and find the corresponding y-values.

For x = -10:

y = (3/2)(-10) + 3

y = -15 + 3

y = -12

For x = 0:

y = (3/2)(0) + 3

y = 0 + 3

y = 3

For x = 10:

y = (3/2)(10) + 3

y = 15 + 3

y = 18

Plotting these points (-10, -12), (0, 3), and (10, 18) on the graph and drawing a line through them, we get the graph of the equation 3x - 2y = -6.

Using the graphical method to solve the pair of equations:

The given equations are:

10x = 5y

-3x + y = 1

To solve these equations graphically, we need to plot their graphs on the same coordinate plane and find the point where they intersect, which represents the solution.

Rearranging the second equation in slope-intercept form:

y = 3x + 1

Now we have the equations in the form y = mx + b.

Plotting the graphs of the equations 10x = 5y and y = 3x + 1, we can find the point of intersection, which represents the solution to the system of equations.

The point of intersection is the solution to the system of equations.

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Answer:

x = 2 ; y = 3

Step-by-step explanation:

3x = 6

x = 2

4y = 12

y = 3

For the data of people who receive loans will not make payments on time, the probability that over 6% will not make timely payments is equals to the 0.0384. So, option(b) is right one.

We have a data of people who receive loan from bank based on past experience. Probability that people who receive loans will not make payments on time = 4% = 0.04

Number of approved loans = 300

We have to determine the probability that over 6% will not make timely payments. Now, Let X be a random variable represents the people who not make payments on time. There the probability distribution is follows the binomial distribution, \(X \: \tilde \: Binomial (n, p)\)

here, probability of success, P(X) = 0.04 and n = 300 and X = 0.06 × 300 = 18, so we can use Binomial Probability distribution formula, P(x, n, p) = ⁿCₓpˣ(1 - p)⁽ⁿ⁻ˣ⁾

So, probability that over 6% will not make timely payments, P(x > 18)

= ³⁰⁰C₁₈ p¹⁸(1 - p)⁽³⁰⁰⁻¹⁸⁾

= 0.0384

Hence, required probability is 0.0384.

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Answer:

  a = 2/3

Step-by-step explanation:

A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.

  a = 2/3

_____

Additional comment

You can see the relationship between a root index and an exponent if you consider what the root means.

Consider a cube root, for example. When you cube the root, you get the original number:

  (∛x)·(∛x)·(∛x) = x

Now, let's write the root as a power of x: x^a.

  (x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x

We know this product is ...

  x^(a+a+a) = x^(3a) = x^1

This tells us that ...

  3a = 1   ⇒   a = 1/3

That is, ∛x = x^(1/3).

Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).

No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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Reject the null hypothesis because \($p$\)-value \($=0.0045$\) is less than the Significance level x=0.025.

The null hypothesis is a widely used statistical theory that states that for any given single observable variable, there is no statistical relationship or significance between any two sets of observed data and measured events.

According to the given information

\(& H_0: \mu=57 \\\)

\(& H_a ; \mu > 57 \\\)

\(& \alpha=0.025 \\\)

\(& \text { Test Statistic }=2.61\)

So,

This is right tailed test

\(& \text { Using } z \text { table } \\\)

\(& p(z > 2.61) \\\)

\(&= 1-p(z < 2.61) \\\)

\(&= 1-0.9955 \\\)

\(& p \text {-value }= 0.0045\)

Reject the null hypothesis because \($p$\)-value \($=0.0045$\) is less than the Significance level x=0.025.

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The probability that Milo selected either a science course or a math course is 7/19 (or 0.3684210526).

Using this strategy, Milo has a 36.84% chance of selecting either a science or math course. This strategy is highly risky and unreliable, as there is no guarantee that Milo will select a course he is interested in or capable of taking. Additionally, Milo has a 63.16% chance of selecting a course he may not be interested in or able to take. There is no assurance that Milo will succeed with this strategy, and it could put him at a disadvantage in his academic career. As such, it is not recommended that Milo use this strategy to register for classes.

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a. Number of students touched locker i18: 6 students touched locker $\# 18$.List of students who touched locker $\# 18$: Students $1, 2, 3, 6, 9,$ and $18$ touched locker $\# 18$. Initially, all lockers were closed, including locker $\# 18$.

Let's calculate the lockers that are opened and closed after each student has walked by .Locker $\# 18$ will be open at the end since it will be touched by an odd number of students. Specifically, the locker will be open after students $1, 2, 3, 6, 9$, and $18$ walk by.

b. Number of students touched locker \# 25: 3 students touched locker $\# 25$.List of students who touched locker $\# 25$: Students $1, 5,$ and $25$ touched locker $\# 25$.Initially, all lockers were closed, including locker $\# 25$.

Let's calculate the lockers that are opened and closed after each student has walked by. Locker $\# 25$ will be closed at the end since it will be touched by an even number of students. Specifically, the locker will be closed after students $1$ and $5$ walk by.

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To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

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Maximize Z = -2x1 + x2 - 4x3 + 3x4 subject to the following constraints:

x1 + x2 + x3 + 2x4 + s1 = 4,

-x1 + x3 + x4 - s2 = -1,

2x1 + x2 + s3 = 2,

and x1 + 2x2 + x3 + 2x4 = 2, where x1, x2, x3, x4, s1, s2, s3 ≥ 0.

To reformulate the given problem in the standard form of a linear programming model, we need to convert all the inequalities into equations and express all variables as non-negative.

The standard form of a linear programming problem is as follows:

Maximize (Z) = c1x1 + c2x2 + c3x3 + c4x4

Subject to:

a11x1 + a12x2 + a13x3 + a14x4 = b1

a21x1 + a22x2 + a23x3 + a24x4 = b2

a31x1 + a32x2 + a33x3 + a34x4 = b3

an1x1 + an2x2 + an3x3 + an4x4 = bn

x1, x2, x3, x4 >= 0

Now let's reformulate the given problem:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 <= 4

-x1 + 0x2 + x3 + x4 >= -1

2x1 + x2 + 0x3 + 0x4 <= 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4 >= 0

The reformulated linear programming problem in standard form is as follows:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 + s1 = 4

-x1 + x3 + x4 - s2 = -1

2x1 + x2 + s3 = 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4, s1, s2, s3 >= 0

Note: The reformulated problem includes slack variables s1, s2, and s3 to convert the inequalities into equations, and all variables are non-negative.

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Answer:

  y = -1/4x -6

Step-by-step explanation:

You want the equation of the graphed line that crosses the y-axis at -6 and intersects the point (4, -7).

The slope of the line is its rise divided by its run. The first grid crossing to the right of the y-axis is at the point (4, -7). This is 1 unit down and 4 units right of the y-intercept.

  m = rise/run = -1/4

We already know the y-intercept is -6, so the line in slope-intercept form is ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -1/4x -6 . . . . . line with slope -1/4 and y-intercept -6

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Therefore,  D. Yes, because the function is continuous on the interval [-1,2] and differentiable on the interval (-1,2).

Explanation:
To apply the Mean Value Theorem, the function must be continuous on the interval and differentiable on the open interval.
In this case, the function f(x) = 6 - x^2 is continuous on the interval [-1,2] and differentiable on the open interval (-1,2). Therefore, the Mean Value Theorem applies to this function on the given interval.
The Mean Value Theorem guarantees the existence of at least one point in the open interval (-1,2) where the slope of the tangent line is equal to the average rate of change of the function over the interval [-1,2].

Therefore,  D. Yes, because the function is continuous on the interval [-1,2] and differentiable on the interval (-1,2).

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Answer:

what should i answer?

Step-by-step explanation:

we know that a whole circle is found using π\(r^{2}\).

So π\(10^{2}\) = 314

so now we know that the whole circle is 314 squared units, we need to find the specific portion.

Oh wait, i learned this lol,

formula for area of sector

As (areas of sector) = π\(r^{2}\)(\(\frac{θ}{360}\))

As (areas of sector) = π\(10^{2}\)(\(\frac{θ}{360}\))

100 times 3.14

314 (43/360)

314(0.12)

As (areas of sector) = 37.68

I hope this finds you well, and have a great day.

Answer:

54

Step-by-step explanation:

JL = JK+ KL

Since K is the midpoint

JK = KL

8x+11 = 14x-1

Subtract 8x from each ide

8x+11-8x = 14x-1-8x

11 = 6x-1

Add 1 to each side

11+1 = 6x-1+1

12 = 6x

Divide by 6

12/6 = 6x/6

2 = x

JL = JK+ KL

    = 8x+11 + 14x-1

    = 22x+10

    = 22*2 + 10

    = 44+10

   = 54

Answer:

JL = 54

Step-by-step explanation:

JK = 8x + 11

KL = 14x - 1

Find x:

JK = KL

8x + 11 = 14x - 1

12 = 6x

x = 2

JL = JK + KL

JL = 8x + 11 + 14x -1

JL = 22x + 10

JL = 22(2) + 10

JL = 54

The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

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In table the missing entity are :

1. On June 26, the values are a is 0 ,  b is $ 1300 , c is $1300 , d is $20.8 and e is $ 1320.8

2. On June 27, the values are f is $ 1320.8  , g is 0 , h is $ 1300 , I is $ 41.93 and j is $ 1341.93

3. On June 28, the values are k is $ 1341.93 , l is 0 , m is $ 1300 , n is $ 63.40 and o is $ 1363.40.

What is compound interest ?

The interest on savings that is calculated using both the original principal and the interest accrued over time is called compound interest.

It is given that , the initial deposit is of $1300 on date 26th of June.

The rate of compound interest = 1.6%

We know that the formula to find out the compound interest on a deposit is given by:

CI = P × \([1 + \frac{r}{100}]^{t}\)

Here : P is the principal amount and r is the rate of interest in %.

On June 26 :

Opening balance = 0

Deposit = $ 1300

Principal used = $ 1300

Compound interest will be :

CI = 1300 × \([1 + \frac{1.6}{100}]^{1}\)

CI = $ 1320.8

This is the ending balance.

Interest = 1320.8 - 1300 = $ 20.8

On June 27 :

Opening balance = $ 1320.8

Deposit = 0

Principal used = $ 1300

CI =  1300 × \([1 + \frac{1.6}{100}]^{2}\)

CI = $ 1341.93

This is the ending balance.

Interest = 1341.93- 1300 = $ 41.93

On June 28 :

Opening balance = $ 1341.93

Deposit = 0

Principal used = $ 1300

CI =  1300 × \([1 + \frac{1.6}{100}]^{3}\)

CI = $ 1363.40

This is the ending balance.

Interest = 1363.40 - 1300 = $ 63.40

Therefore , in table the missing entity are :

1. On June 26, the values are a is 0 ,  b is $ 1300 , c is $1300 , d is $20.8 and e is $ 1320.8

2. On June 27, the values are f is $ 1320.8  , g is 0 , h is $ 1300 , I is $ 41.93 and j is $ 1341.93

3. On June 28, the values are k is $ 1341.93 , l is 0 , m is $ 1300 , n is $ 63.40 and o is $ 1363.40.

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The surface area of the prism is 96 cm²

Surface area is the sum of the areas of all the faces (or surfaces) of a three-dimensional object.

The length and width of the rectangular face are 4.5 cm and 3 cm, respectively, so the area is:

4.5 cm x 3 cm = 13.5 cm²

Since there are two rectangular faces on the prism, the total area for the pair is:

= 2 x 13.5 cm²

= 27 cm²

Similarly for the another face

3 cm x 3 cm = 9 cm²

Since there are two square faces on the prism, the total area for the pair is:

= 2 x 9 cm²

= 18 cm²

The area of one of the rectangular faces that is not congruent to the first two:

= 8.5 cm x 3 cm

= 25.5 cm²

Since there are two rectangular faces that are not congruent to the first two, the total area for the pair is:

= 2 x 25.5 cm²

= 51 cm²

Now we can find the total surface area by adding the area of each pair of faces:

= 27 cm² + 18 cm² + 51 cm²

= 96 cm²

Therefore, the surface area of the rectangular prism is 96 square centimeters.

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Answer:

5

Step-by-step explanation:

When we order all the numbers from the data set, we can spot the middle one, which is the median:

3, 3, 4, 5, 5, 5, 6, 8, 8

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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The volume of the sphere is given by the formula V = (4/3)*pi*R³, and in this case the volume is V = 3,052.08 yd³

The volume of a sphere of radius R is given by the formula below:

V = (4/3)*pi*R³

Where pi = 3.14

Here we can see that the radius is 9yd, then the volume of that sphere will be:

V = (4/3)*3.14*(9yd)³

V = 3,052.08 yd³

Sothe volume of the sphere is 3,052.08  cubic yards.

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Answer: your question is blurry

Step-by-step explanation: