2) If there was a discount of 20%, what is the final deconstructed
percent? *
A.0.8%
B.120%
C.20%
D.80%

Answer:

Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin

Step-by-step explanation:

Given

x - y

5 - 10

10 - 20

15 - 30

Required

Determine if the data are proportional

The dataset is small; so, we can derive the relationship by observation.

By observing the x and y values, the relationship is:

y = 2x --- i.e. multiply x values by 2.

This is further proven by:

y = 2 * 5 = 10

y = 2 * 10 = 20

y = 2 * 15 = 30

y = 2 * 0 = 0 --- the origin

Hence, the dataset is proportional and it passes through the origin.

Answer:

1) x = 10

m<LOH = 55

m<GOH = 85

m< KOG = 40

2) x = 3

m<CQR = 22

m<BQC = 53

m< AQB = 33

m< PQA = 72

3) x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4) x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

Step-by-step explanation:

1)

Straight line = 180°

So

4x + 15 + 9x - 15 + 4x = 180

17x + 10 = 180

x = (180-10)/17

x = 10

m<LOH = 40

m<GOH = 85

m< KOG = 55

2)

Straight line = 180°

So

7x + 1 + 56 - x + x + 30 + 24x = 180

31x + 87 = 180

x = (180 - 87) / 31

x = 3

m<CQR = 72

m<BQC = 33

m< AQB = 53

m< PQA = 22

3)

Straight line = 180°

So

2x + x + 4 + x - 4 = 180

4x = 180

x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4)

Straight line = 180°

So

2(3x + 4) + 11x - 3 + 8x = 180

6x + 8 + 19x -3 = 180

25x + 5 = 180

x = (180 -5) / 25

x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

I hope my answer helps you.

The measure of angle B from the given hexagon ABCDEF is 108°.

In geometry, a hexagon or sexagon is a six-sided polygon or 6-gon creating the outline of a cube. The total of the internal angles of any simple hexagon is 720°.

In the given hexagon ABCDEF, ∠A=170°, ∠C=133°, ∠D=102°, ∠E=117° and ∠F=90°.

Here, ∠A+∠B+∠C+∠D+∠E+∠F=720°

170°+∠B+133°+102°+117°+90°=720°

612°+∠B=720°

∠B=720°-612°

∠B=108°

Therefore, the measure of angle B from the given hexagon ABCDEF is 108°.

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Answer:

To find the vertex form of the quadratic equation, we need to first find the equation in standard form, which is:

f(x) = a(x - r)(x - s)

where r and s are the roots of the quadratic equation and a is a constant.

From the problem statement, we know that the roots of the quadratic equation are -2 and 6. Thus, we can write:

f(x) = a(x + 2)(x - 6)

To find the value of a, we can use the point (1, 15) that the function passes through. We substitute x = 1 and f(x) = 15 into the equation:

15 = a(1 + 2)(1 - 6)

15 = -15a

Thus, a = -1.

Substituting this value of a into the equation, we get:

f(x) = -(x + 2)(x - 6)

To convert this equation into vertex form, we need to complete the square. We can do this by adding and subtracting (2/2)² = 1 from the equation:

f(x) = -(x + 2)(x - 6) + 1 - 1

= -(x + 2)² + 16

Therefore, the vertex form of the equation of f(x) is f(x) = -(x + 2)² + 16.

Step-by-step explanation:

Hi if u have more questions , feel free to ask me on my pa d let or sn ap or disco r d

Answer: y=3/4x+4

Step-by-step explanation:

Answer:

0.6 squares per circles

3:5

Step-by-step explanation:

if you are looking for a different answer just comment on this

\(\huge\pmb{Hi!}\)

Here's what a ratio looks like:

Let's assume we have numbers a and b.

The ratio of a to b is:

a:b

So, let's figure out the ratio of squares to circles:

9:15

Is the ratio in its simplest form? No, it isn't. We can divide 9 and 15 by 3.

\(\huge\boxed{\star{Answer:3:5\star}}\)

Hope it helps! Enjoy your day!

~Just a determined gal

\(\bf{^e^r^u^t^a^N\:^t^n^e^l^i^S\)

The expression that can be used to represent the total money earned is $12x - $15.

The first step is to determine the total amount earned this wek. This can be determined by multiplying the earnings per hour by the total hours/

Total earnings = $12 ×x = $12x

Now subtract the late delivry charge = $12x - $15

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Answer:

12x-15

Step-by-step explanation:

khan

Answer:

see explanation

Step-by-step explanation:

Find the difference using the absolute value function, that is

| - 8 - 4 | = | - 12 | = 12

or

| 4 - (- 8) | = | 4 + 8 | = | 12 | = 12

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

In order to complete the square for the given equation x^2+16x=18, the number added to both sides is 64.

Complete the square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. To complete the square, add or subtract the same value to both sides. In this case, add the square of half the coefficient of the x -term, (b/2)^2 to both sides of the equation. Hence, the number to add would be (16/2)^2 = 64.

Thus,

x^2+16x + 64 =18 + 64

x^2+16x + 64 =82

x^2+ 2*8x + 64 =82

(x + 8)^2 = 82

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Answer:

She spent 7 minutes on her math homework.

Step-by-step explanation:

Answer:

C . x/12

Step-by-step explanation:

The translational angular momentum of the space junk about location D just before the collision can be found by plugging the values of r_perp and p.

To calculate the translational angular momentum of the space junk about location D, we need to consider its linear momentum and the perpendicular distance from location D to the line of motion.

Step 1: Identify the linear momentum of the space junk
Linear momentum (p) is the product of mass (m) and velocity (v). Assuming we know the mass and velocity of the space junk, we can find its linear momentum:

p = m * v

Step 2: Determine the perpendicular distance (r_perp) from location D to the line of motion
As mentioned, r_perp remains the same at locations A, B, and just before reaching C.

Step 3: Calculate the translational angular momentum (L) about location D
Translational angular momentum is given by the formula:

L = r_perp * p

Since r_perp and p remain constant at locations A, B, and just before reaching C, the translational angular momentum of the space junk about location D will be the same at all these locations.

So, the translational angular momentum of the space junk about location D just before the collision can be found by plugging the values of r_perp and p into the formula above.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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For given triangle the exact lengths will be y=6.92 cm and x=3.1 cm.

What is a triangle's definition?

In geometry, triangles are polygons having three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The sum of three triangle angles equals 180°. The triangle is enclosed by a single plane. Triangles are classified into three sorts based on the angles they have.

Acute Angle Triangle - A triangle with all of its angles smaller than 90°.

Obtuse Angle Triangle - A triangle with a larger than 90° angle.

One of the angles of a triangle with a right angle is 90°.

Now,

As given angles are 90°, 60° and 30°.

and one side= 6cm

then

sin 60=P/h=6/y

y*√3/2=6

y=6/0.866

y=6.92 cm

then By Pythagoras Theorem

x²=6.92²-6²

x²=45.8-36

=9.8

x=√9.8

x=3.1 cm

Hence,

          the exact lengths will be y=6.92 cm and x=3.1 cm.

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: {4,5,6}

Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.

In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.

Answer:

yeeeeeeeeeeeet

Step-by-step explanation:

thx for points

The equation that represents the line of best fit for the figure is given as follows:

y = 5.6x + 21.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

From the graph, we have that the relation is increasing, meaning that it has a positive slope, that is:

m = 5.6.

When x is equals to zero, the value of y is close to 20, hence the intercept b is given as follows:

b = 21.

Hence the function is:

y = 5.6x + 21.

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Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer: 51 degrees

Step-by-step explanation:

The limit is equal to 0.

To find the derivative of a logarithmic function, we use the formula:

d/dx ln(u) = 1/u * du/dx

where u is the argument of the logarithm.

In this case, we are asked to find the derivative of ln(2x), so u = 2x and du/dx = 2.

Therefore, d/dx ln(2x) = 1/(2x) * 2 = 1/x.

For dy/ds:

y = (1/P) * ln(2x) - x * ln(x) + ln(Vin(x)) - (1/2x) * ln(2x)

We can simplify this expression by using the logarithmic rules:

y = (1/P) * ln(2x) - x * ln(x) + ln(Vin(x)) - ln((2x)^(1/2x))

y = (1/P) * ln(2x) - x * ln(x) + ln(Vin(x)) - ln(e^(ln(2x)/(2x)))

y = (1/P) * ln(2x) - x * ln(x) + ln(Vin(x)) - ln(e^(1/2 * ln(2x)/x))

y = (1/P) * ln(2x) - x * ln(x) + ln(Vin(x)) - ln((2x)^(1/2x))

Now, we can find the derivative of y with respect to s:

dy/ds = (1/P) * d/ds ln(2x) - ln(x) - x * d/ds ln(x) + d/ds ln(Vin(x)) - d/ds ln((2x)^(1/2x))

Using the previous result, we have:

dy/ds = (1/P) * (1/x) - ln(x) - x * (1/x) + (1/Vin(x)) * d/ds Vin(x) - d/ds (1/2x) * ln(2x)

We need to use the chain rule to find d/ds Vin(x):

d/ds Vin(x) = dVin/dx * dx/ds

But we don't have the expression for dVin/dx, so we cannot simplify this further.


To use L'Hospital's Rule, we need to take the derivative of both the numerator and denominator of the limit separately, and then evaluate the limit again.

In this case, we have:

lim x^2 / (e^(1/x) - 1)

Taking the derivative of the numerator gives:

d/dx (x^2) = 2x

Taking the derivative of the denominator gives:

d/dx (e^(1/x) - 1) = -(1/x^2) * e^(1/x)

Now, we can evaluate the limit again:

lim x^2 / (e^(1/x) - 1) = lim (2x) / (-(1/x^2) * e^(1/x))

We can simplify this expression by multiplying both the numerator and denominator by x^2:

lim (2x) / (-(1/x^2) * e^(1/x)) = lim (2) / (-(1/x) * e^(1/x)) = 0

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The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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Answer: A=12

Step-by-step explanation:

Shoe Sizes:                            Frequency:
3                                              11
4                                              A
5                                              7

The frequency is how many people have the shoe sizes. For example, 11 people have shoe size 3, and 7 people have shoe size 5. Since 30 people's shoe sizes were recorded, 30 - (11+7) will be the answer.

30 will be from the 30 people whos shoe sizes were recorded. The 11 will be from the people with shoe size 3, and the 7 will be from the people with shoe size 5. So, 30 - 18 = 12.

12 people have shoe size 4.

Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.

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Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)