BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯. What is AC? Enter your answer in the box. units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answer:

Step-by-step explanation:

... g=10m/s??

Answer:

The diameter of Pluto is 2200

Step-by-step explanation:

Let u = the diameter of Uranus

Let e = the diameter of Earth

Let m = the diameter of Mars

Let p = the diameter of Pluto

u = 52000

e + m + p = 52000 - 30000

e + m + p = 22000

e = 2m

m = 3p or p = m/3

substitute 2m for e and m/3 for p in the bold equation above and solve for m

2m + m + m/3 = 22000  Multiply all the way through by 3 to clear the fraction.

6m + 3m + m = 66000  Combine like terms

10m = 66000  Divide both sides by 10

m = 6600

P = m/3

p = 6600/3 = 2200

Answer:

You'recorrect it's C :>

Step-by-step explanation:

96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16.

Because he wanted the audience glued to their seats, the stage manager pasted paste on the programmes.

Even before the first rehearsal, the stage manager is involved in the performance. During

He or she is in charge of preparing all the materials during what is known as "PREP WEEK."

for the opening of the rehearsals. The first step is for actors to completely TRUST the stage management.

Being structured from the first minute of the first rehearsal is essential to gaining that trust.

The stage manager is accountable for attending each rehearsal during the rehearsal time to

aid the director, create CUE SHEETS, let the actors know what the director wants, and all the

Develop strong working connections with DEPARTMENT HEADS, who are perhaps the most crucial, everyone involved in the show.

The director frequently moves on to another production after the first performance.

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In the last two games, a basketball player has scored 94 points altogether.

The mathematical average of two or more numbers is known as the mean. It can be calculated using either the geometric or arithmetic mean methods.

Given, After 8 matches a basketball player has a mean of 27 points. After ten matches his mean was 31 points.

mean =  sum of total observation / no. of observations

let the sum of total points scored in 8 matches be x

x/8 = 27

x = 216

after three more matches, his mean was 31.

new mean = x + (points in last three games)/(8+2)

31 = (x + (points in last three games))/10

x + (points in last three games)=  310

we know that x = 216

216  + (points in last three games) = 310

points in the last three games = 310 - 216

Points in the last two games = 94

therefore, a basketball player scores a total of 94 points in the last two games.

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120 numbers greater than 4000 can be formed with the digits 2 3 4 5 and 6 when no digit is repeated.

In order to find out how many numbers greater than 4000 can be formed with the digits 2, 3, 4, 5 and 6 without repeating any digit, we can use permutation. The formula for permutation is n!/(n-r)! Where n is the total number of digits and r is the number of digits in the number.

In this case, n=5 and r=4.

Therefore, the formula is 5 x/(5-4)! which is 5x/(1x) = 5! = 5x4x3x2x1 = 120.

This means that there are 120 numbers greater than 4000 that can be formed with these five digits without repeating any digit.

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To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial. if the highest degree is 2, it is a quadratic equation.

A quadratic equation is an equation of degree 2. The standard form of a quadratic equation is:

ax² + bx + c = 0,  with a ≠ 0

To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial.

Example 1:

2x + 1 = 0

This is not a quadratic equation since its highest degree is 1

Example 2:

2/x² + x = 0

This is not a quadratic equation, since  2/x²  = 2x⁻²

Example 3:

4 - 5m² = 3m

This is a quadratic equation, since the highest degree is 2. Furthermore, it can be transformed to the standard form:

- 5m² - 3m + 4 = 0

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The cost for each pot of ivy is obtained as $4.

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Suppose the cost of each host and ivy be x and y respectively.

Then, the system of equations for money spent by Mark and Shannon can be written as,

4x + 4y = 44                 (1)

2x + 5y = 34                 (2)

Multiply equation (2) by 2 then subtract from (1) to get,

4x + 4y - 2(2x + 5y) = 44 - 2 × 34

⇒ -6y = -24

⇒ y = 4

Hence, the cost of each pot of ivy is given as $4.

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If Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. The percent of decrease in pay is: 22.75%.

Using this formula to find or determine the percent decrease

Percent decrease = Original Value – New Value/Original value

Let plug in the formula

Percent decrease  = $40 per hour - $30.90 per hour / $40 per hour

Percent decrease = $9.10 /  $40 per hour × 100

Percent decrease = 22.75%

Therefore the percent decrease is 22.75%.

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Answer:

a)(1.5,-4) true , (-4,-4) false / b) (0,-5) and (2,-4) are false and the other 2 is true / c) shade under the line d) they are not included because they are if you take any point on the line ot won't be less that 15

Step-by-step explanation:

in a) you substitute the x and the y to the equation and check if they are equal to 15 , b) you do the same thing but this time you check if its under 15 c) its less than so its below the line , d) already answered

Using the provided values with the data for the per ride fee and per mile cost, The answer is 10 miles.

The term "cost" can have a variety of meanings depending on the context in which it is used. In general, it refers to the amount of money or resources that must be expended in order to acquire or produce something. In a business setting, cost typically refers to the expenses associated with manufacturing or acquiring a product or service, such as materials, labor, and overhead. In a personal finance context, cost might refer to the expense of purchasing a good or service, such as a car or a vacation.

Selling price, also known as the "price point" or "retail price," is the amount at which a product or service is offered for sale to the customer. It is the final price that the customer pays, which includes all costs associated with producing and bringing the product or service to market, as well as any profit margin that the seller wishes to make. The selling price is determined by a number of factors, such as the cost of production, competition, market demand, and the seller's desired profit margin.

total = 11.5

remaining = 11.5-4 =  7.5

distance  =  7.5 /0.75 =10 miles

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Answer:

-131

Step-by-step explanation:

2mn4-15m2n+p

input each value in the letter

2(2)(3)4-15(2)2(3)+ (-1)

= -131

The value of the given expression is 143.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 2mn⁴-15m²n+p.

Here, m=2, n=3 and p=-1

Now, 2×2×3⁴-15×2²×3+(-1)

= 324-180-1

= 143

Therefore, the value of the given expression is 143.

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Note that this prompt is an exercise on Metric Units for distance. The names and corresponding speeds from least to the greatest in Miles/Hour are listed below:

The most frequent units of distance in the metric system are

Then you also have:

To solve the problem of graduation as regards the above listed names, we must convert all distances to miles.

A) Julie's Distance is 62 Miles/Hr (Given, hence no computation required)

B) Monalo's Distance is 311,520 Feet/Hr

Note that:

1 Foot = 0.000189394 miles

Thus, 311,520 Feet in miles =

311,520 x 0.000189394

= 59.00001888

Thus,

Monalo's Distance in Miles/Hr [tex]\approx[/tex] 59 Miles/Hr

C) Leshawn 1,448 meters per minute

We must convert to Hour for sake of consistency.

Since there are 60 minutes in an hour, we have the distance in meters are:

1448 x 60

= 86,880 meters/Hr

Next, we must now convert meters to Miles. Recall that

1 Meter = 0.000621371 Miles

Thus,  86,880 meters/Hr in miles is

86,880 x 0.000621371

= 53.98471248/Hr

Therefore,

Leshawn's distance in Miles [tex]\approx[/tex] 54 Miles/Hr

Given the above, the names and corresponding speeds from least to greatest in miles per hour is:

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Full Question:

List the names and corresponding speeds from least to greatest in miles per hour. Julie 62 miles per hour Manalo 311,520 feet per hour and Leshawn 1,448 meters per minute

From the set given, A ∪ B =

Information given in the question

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

A ∪ B, is called A union B. To solve for A ∪ B, we take all the elements of set A and all the elements of set B together

= {1, 3, 5, 7, 9} +  {2, 4, 6, 8, 10}

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Hence this equals integers from 1 to 10 inclusive

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The graph that represents the rational function f(2x) is given by:

Graph C.

The transformation to a function that generates an horizontal compression or stretch is in the domain of the function, as follows:

f(ax).

Then whether the transformation is a compression or a stretch depends on the absolute value of a, as follows:

In this problem, the transformation is defined as follows:

g(x) = f(2x).

Meaning that it is an horizontal compression by a factor of 1/2.

The vertical asymptote has the coordinate given as follows:

x = 2.

After the compression, the coordinate is given as follows:

x = 2 x 1/2

x = 1.

Which means that Graph C is the correct graph for the rational function after the transformation.

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The composition of two functions, g(x) and h(x), is written as (g•h)(x).

Function in math is a relationship between two variables where one variable determines the behavior of the other. It is a mathematical expression that assigns each element in a set to a specific output. Functions can be used to represent things like motion, growth, and decay. They are used to create models that can be used to make predictions and analyze data. Functions are used throughout mathematics and science and can be used to solve real-world problems.

This means that the output of function g(x) is used as the input of function h(x). In this case, (g•h)(x) is equal to h(g(x)). So, (g•h)(x) = h(x-2) = (x-2)^2 - 1.

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The corresponding angle of angle 8 is angle 4.

When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, same interior angles, alternate exterior angles, vertically opposite angles.

In the diagram, j and k are parallel line cut by the transversal t. Let's find the corresponding angle of 8.

Corresponding angles are the angles which are formed in matching corners with the transversal when two parallel lines are intersected by any other line. corresponding angles are congruent.

Therefore,

∠4 is corresponding to ∠8.

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The radius of convergence, r, of the series [infinity] 6(−1)nnxn n = 1 is 1.

The radius of convergence is the distance from the point of convergence to the origin. It tells us the distance at which a series converges or diverges. In this series, the point of convergence is at x = -1, so the radius of convergence, r, is the distance between -1 and the origin, which is 1. This means that the series converges for any x such that |x+1|<1, or in other words, for any x such that -2<x<0.

Outside of this range, the series will diverge and will not converge. This can be determined by looking at the terms of the series. For |x+1|>1, the terms of the series will become larger and larger, resulting in divergence. For |x+1|<1, the terms of the series will become smaller and smaller, resulting in convergence.

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Answer: 7+35j

Step-by-step explanation: First we have to distribute 7 to 1 and 5j. So, (7*1)+(7*5j). So our final answer would be 7+35j

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.

given

by newton's method

y = x3 − 2x − 2, x1 = 0

y′(1)=6−12+6

y′(1)=0

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

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The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by integrating x + xy with respect to x from 0 to 4 and then integrating with respect to y from 0 to 1.

The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by:

1. Integrate 4x with respect to x from 0 to 4:

∫04x dx = [x2/2]04

= (42/2) - (02/2)

= 16/2

2. Integrate xy with respect to x from 0 to 4:

∫04xydx = [x2/2]41

= (41/2) - (01/2)

= 1/2

3. Add the two integrals together to get the final answer:

16/2 + 1/2

= 8 + 1/2

= 8.5

The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by first integrating 4x with respect to x from 0 to 4, which gives 16/2, and then integrating xy with respect to x from 0 to 4, which gives 1/2. Adding these two integrals together yields 8 + 1/2, or 8.5.

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The difference between the size of the two forces is 1.5 N.

The relationship between the Pressure, Force, and Area can be seen in their equation, Pressure = Force/Area. According to this equation, pressure equals the force applied to a surface divided by the area on which that is exerted.

In essence, increasing the forces exerted on a surface will increase the pressure. However,  decreasing the force decreases the pressure.

Using the equation:

Pressure = Force/Area.

20 N/m² = Force/0.06 m²

Force_1 = 20 N/m² * 0.06 m²

Force_1 = 1.2 N

Force_2 = 45 N/m² * 0.06 m²

Force_2 = 2.7 N

The difference between the size of the forces are:

= 2.7 N - 1.2 N

= 1.5 N

Therefore, we can conclude that the difference between the size of the two forces is 1.5 N.

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The angles that satisfy the inequality are  270° < A < 360°, 90° < B < 180° and 180° < C < 270°.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A circle is a unit circle.

A).

cos(A) > 0 and sin(A) < 0.

And that property is in between 270° < A < 360°

That means, value of A will be in fourth quadrant.

B).

cos(B) < 0 and sin(B) > 0.

And that property is in between 90° < B < 180°

That means, value of B will be in the second quadrant.

A).

cos(C) < 0 and sin(C) < 0.

And that property is in between 180° < C < 270°

That means, value of A will be in third quadrant.

Therefore, the angles that satisfy the inequality.

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Therefore , the solution of the given problem of equation comes out to be $88.

A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.

Here,

First, it takes Phil 3 hours do carve a giant boomerang after carving a little one in just 2 hours. He has 24 hours must carve as many boomerangs as possible. Cath can embellish ten boomerangs. Assume that x represents the quantity of small tomahawks and y represents the quantity of giant boomerangs. In light of the facts provided, the following expression can be created.

Here,

2x + 3y = 24 hours in equation 1.

Eq. 2: x + y = 10 

Take y = 10 - x from equation 2 as equation 3.

Step 2: We obtain by substituting equation 3 for equation 1

2x + 3y equals 2x + 3(10 - x) = 24, 2x + 30 -3x equals 24, -1x equals -6, and therefore x = 6.

In equation 2, change x to 6 to make

Since x + y = 6 + y = 10, y = 4

Therefore, they ought to produce four huge and six mini boomerangs.

Step 3: Next, we determine how much money they will earn. Each little boomerang will bring in $8, while each big one will bring in $10. So

4 x 10 for each huge boomerang and 6 x 8 for each mini boomerang

=(6 × 8)+ (4 × 10) = 48 + 40 = $88.

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Answer:

hypotenuse = 4

Step-by-step explanation:

   Given triangle is a right-angled triangle. To find the unknown side, use Pythagorean theorem.

      hypotneuse² = leg₁² + leg₂²

                             [tex]\sf = (2\sqrt{3})^2 + 2^2\\\\= 2^2*(\sqrt{3})^2 + 4\\\\= 4*3 + 4\\\\= 12 + 4\\\\=16[/tex]

         [tex]\sf hypotenuse = \sqrt{16}\\[/tex]

                           [tex]\sf = \sqrt{4*4}\\\\ = 4[/tex]

Yay! This one isn't that bad.  

Think of it like this:

123 = 123

1 = 1, 2 = 2, and 3 = 3.  

For angles, ABC = ABC, A = A, B = B, and C = C.

If you know that example SOQ = WHO, then S = W, O = H, and Q = O.  Nothing else though, unless there's a diagram and you are given information stating otherwise.

Hope that helps! xx And please make sure that you are not posting any questions about exams or tests.  That could endanger your grade.  I've seen quite a few exam questions on here, and teachers check these things.  And even if they don't, be honest! :) Honesty Policy.  

To do dilatation a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.

A coordinate plane is a system that graphs and describes the position of points and lines. It consists of horizontal (x) and vertical (y) axes.

We can perform dilatation for a point or line in a coordinate plane system based on specific criteria.

Dilation is a form of image transformation that produces a new image, which is larger, or smaller, based on a certain scale factor. The new image is the same in shape, but different in size.

The rule of dilatation:

[tex]D_{k}[/tex](x,y) = (kx, ky)

where [tex]D_{k}[/tex] is the point of the new image and k is the scale factor.

When we want to dilate a triangle ABC, the result can be found by multiplying its original points with the scale factor.

For example:

Triangle ABC (-2,2), (-2,3), (1,2) is dilated by a scale factor of 2. The new triangle A'B'C' will be A’(-4,4), B’ (-4,6), and C’ (2,4).

Thus, to dilate a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.

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The three examples of exponential decay are radioactive decay, carbon-14 dating, and medical imaging.

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. The most common type of radioactive decay is alpha decay, in which the nucleus emits an alpha particle (a helium nucleus) and transforms into an atom with a mass number that is four less than the original atom.

Carbon-14 dating is a method for determining the age of objects that contain organic material by measuring the radioactive decay of carbon-14. Carbon-14 is a radioactive isotope of carbon that is present in all living things in a constant amount.

When an organism dies, the carbon-14 begins to decay and is not replaced. The half-life of carbon-14 is 5730 years, which means that after 5730 years, half of the carbon-14 will have decayed.

Medical imaging, such as X-rays and CT scans, use ionizing radiation, which can damage living tissue. The amount of damage is a function of the radiation dose and the sensitivity of the tissue. The damage is typically repaired by the body, but at high doses, the damage can be permanent and result in cell

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Answer:

A≈28.27mi²

Step-by-step explanation:

Answer:

11 2 point and 6 3 point baskets

Step-by-step explanation:

Let x be the number of 2-point baskets the basketball player made, and let y be the number of 3-point baskets. We know that the player made a total of 17 shots, so x + y = 17. We also know that the player scored 40 points, and each 2-point basket is worth 2 points and each 3-point basket is worth 3 points, so 2x + 3y = 40.

We can solve this system of equations using substitution. From the first equation, x = 17 - y. Substituting this expression for x into the second equation, we get 2(17 - y) + 3y = 40. Expanding the left side, we get 34 - 2y + 3y = 40. Simplifying, we get y = 6.

Substituting this value for y back into the first equation, we get x = 17 - 6 = 11. Therefore, the basketball player made 11 2-point baskets and 6 3-point baskets.

The ordered pair for the solution to the system? of equations is (13/27, - 31/9).

Given is the system of equations as follows -

3x - 8y = 29

3x + y = -2

We have the following system of equations -

3x - 8y = 29

3x + y = -2

We can write -

3x + y = - 2

y = - 2 - 3x

So, we can write the first equation as -

3x - 8y = 29

3x - 8(- 2 - 3x) = 29

3x + 16 + 24x = 29

27x = 29 - 16

27x = 13

x = 13/27

Then, the value of [y] will be -

y = - 2 - 3x

y = - 2 - 3(13/27)

y = - 2 - 13/9

y = - (2 + 13/9)

y = - (18 + 13)/9

y = - 31/9

Therefore, the ordered pair for the solution to the system? of equations is (13/27, - 31/9).

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