PLEASE HELP!!!!
Which sides (if any) are parallel? You must show all work for full credit

The value of composite function g(f(-2) is when f(x) = x^2+9 and g(x) = x-9 is 4

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

We are given two functions  f(x) = x^2+9 and g(x) = x-9

and we are asked to find g(f(-2))

this term means we first substitute f(x) in the place of x in function g

We get

g(f(x))= f(x) - 9

Now substitute the value of f(x) in the above function

g(f(x))= x^2+9 -9

g(f(x))= x^2

g(f(-2))= (-2)^2

g(f(-2))= 4

Hence the value of the function if 4

To learn more about functions please refer the following link

https://brainly.com/question/10439235

#SPJ1

Answer:

im terreb.le at math

Step-by-step explanation:

Answer:

285 dancers

Step-by-step explanation:

\(\frac{acrobats}{dancers}\) = \(\frac{13}{15}\) = \(\frac{247}{x}\)

After cross-multiplication:

13x = ( 15 )( 247 )

13x = 3705

x = 285 dancers

Answer:

$45.36

Step-by-step explanation:

1 dinar = $1.4

32.4=?

32.4*1.4

$45.36

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

Answer:

Step-by-step explanation:

Area of the shape of the table = Length * Breadth (Rectangular in nature)

Area of the study table = 2m * 1.25m

Converting the units to cm

Since 100cm is equivalent to 1m, hence;

Area of the study table = 200cm * 125cm

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².

The number of square designs = Area of the study table/area of one square design

= 25000/100

= 250

Hence the number of such design on the study table is 250

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer:

B. x = 5

Step-by-step explanation:

Trapezoid are quadrilateral because they have 4 sides. From trapezoid above, the side NO is parallel to side MP and are known as the base.

Answer:  about 15

Step-by-step explanation:

Answer:

15 is the answer

Step-by-step explanation:

Answer: Mean Absolute Deviation (MAD): 7

Hope this helps u!

Have a good day and stay safe!

Answer:

7

Step-by-step explanation:

\(\frac{3+4+7+8+8+9+10}{7}\)

\(\frac{49}{7}\)

49 ÷ 7 = 7

Answer: $2.10

Step-by-step explanation:

$19.60 - $11.20 = $8.40 for all pendants

$8.40/4 = $2.1 for each pendant

Answer:

Each pendant costs $2.10.

Step-by-step explanation:

The total cost for necklaces is $19.60. The total cost of beads is $11.20. to find the total cost of pendants subtract 11.2 from 19.6 to get 8.4. $8.40 is the total cost of all four pendants. The question asks for the cost per pendant so you will need to divide this total cost. by 4 to get the cost of each pendant. 8.4/4=2.1. Each pendant costs $2.10.

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

You can learn more about optimal mix at: brainly.com/question/30629565

#SPJ11

The set of ordered pairs that does not represent a function is:

{(-3, 4), (-5, 4), (7, -3), (2, -9)}

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is uniquely associated with exactly one element in the range. In simpler terms, a function assigns a unique output value to each input value.

hence we investigate the ordered pairs to find the one that has a repeated y value and this can be seen in {(-3, 4), (-5, 4), (7, -3), (2, -9)}

where at x = -3 gave y = 4 and x = -5 gave y = 4

Learn more about ordered pairs at

https://brainly.com/question/1528681

#SPJ4

Answer:

W(4,3)

Step-by-step explanation:

how is that a square?

Firstly we need to find how many students passed chemistry or biology

60-8=52 studdnts passed biology or chemistry

Let number of students who passed chemistry is x, than number of students who passed biology is 52-x.

\(52 - x - x = 6 \\ - 2x = - 46 \\ x = 23\)

So, 23 students passed chemistry, than

23+6=29 students passed biology

Answer: 23 students passed chemistry and 29 students passed biology

Answer:

23 students passed chemistry and 29 students passed biology

Step-by-step explanation:

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

\(\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}\)

Step-by-step explanation:

\(\sf 7y-15=-29\)

Using the additive property of equality, we add 15 to both sides of the equation.

\(\sf 7y-15+15=-29+15\)

\(\sf 7y=-14\)

Using the inverse property of multiplication, we divide both sides of the equation by 7.

\(\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}\)

\(\sf y = -2\)

The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

Learn more about the growth rate here:

https://brainly.com/question/29291084

#SPJ1

While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

Learn more about linear regression here

https://brainly.com/question/32505018

#SPJ11

Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.

Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.

Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.

However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.

Learn more about aquifers

brainly.com/question/32294539

#SPJ11

The 17-ft ladder leaned against a building so that the angle between the ground and the ladder is 82º reaches approximately 16.4 feet up the building.

To solve this problem, we can use trigonometry. We know that the ladder is the hypotenuse of a right triangle, with one leg being the height of the ladder on the building and the other leg being the distance from the base of the ladder to the building. We can use the sine function to find the height of the ladder on the building:
sin(82º) = height of ladder on building / length of ladder
Solving for the height of the ladder on the building, we get:
height of ladder on building = length of ladder x sin(82º)
Plugging in the values we know, we get:
height of ladder on building = 17 ft x sin(82º) ≈ 16.4 ft
So the ladder reaches about 16.4 feet up the building.

To know more about trigonometry, visit:

https://brainly.com/question/12068045

#SPJ11

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4

To arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.

In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.

From the data given,

35/4 > √72 > 25/3 > 8.4

Learn more on number line here;

https://brainly.com/question/12399107

#SPJ1

The weight of the water in the full waterbed mattress is approximately 1,747.2 pounds to the nearest pound.

The weight of the water in a full waterbed mattress measuring 7 ft by 4 ft by 1 ft can be calculated by multiplying the volume of the mattress by the weight of water per cubic foot.

Using the given weight of water (62.4 lbs/ft³), the weight of the water in the mattress can be determined.

To calculate the weight of the water in the mattress, we first need to calculate the volume of the mattress. The volume of a rectangular solid can be found by multiplying its length, width, and height. In this case, the volume of the waterbed mattress is 7 ft × 4 ft × 1 ft = 28 ft³.

Next, we multiply the volume of the mattress by the weight of water per cubic foot (62.4 lbs/ft³) to find the weight of the water. Multiplying 28 ft³ by 62.4 lbs/ft³ gives us a weight of approximately 1,747.2 lbs.

Therefore, the weight of the water in the full waterbed mattress is approximately 1,747.2 pounds to the nearest pound.

To learn more about cubic foot visit:

brainly.com/question/31398709

#SPJ11

Estimation involves using a convenient value, close to the actual value, for calculations; especially in the absence of a calculator. The estimated number of gallons she needs to get to the station is 3 gallons.

Given that:

\(Speed= 70mph\)

\(Time = 1.25hr\) ---- equivalent of 1hr 15mins

\(Rate = 30 m/gallon\)

First, she will need to estimate the distance she can cover using:

\(Distance= Speed \times Time\)

An estimate of the calculation is:

\(Distance= 70mph \times 1.5 = 105m\)

The number of gallons is then estimated as follows:

\(Gallons = D ista nce\div Rate\)

Because the estimated distance is 105 m; she can use 35 as an estimate the rate of miles per gallon; instead of 30

\(Gallons = 105m \div 35m/gallon\)

\(Gallons = 3gallon\)

So, the estimated number of gallons she needs is 3 gallons.

We can check if the estimate is true or close by calculating the actual values.

\(Distance= Speed \times Time\)

\(D i s t a n c e= 70mph \times 1.25hr=87.5m\)

\(Gallons = D ista nce\div Rate\)

\(Gallons = 87.5m \div 30m/gallon =2.92m\)

Hence, the estimated number of gallons she needs to get to the station is 3 gallons.

Read more about estimation at:

https://brainly.com/question/16099852

Answer:

isometry

Step-by-step explanation:

The maximum number of electrons in the 3d orbital, which is 10.

The quantum numbers for the 3d orbital are:

- Principal quantum number (n) = 3
- Angular momentum quantum number (l) = 2 (d orbital)
- Magnetic quantum number (m) = -2, -1, 0, 1, 2 (five possible values for the d orbital)
- Spin quantum number (s) = -1/2, 1/2 (two possible values for electrons)

The maximum number of electrons in the entire 3d shell is 10. This is because the d orbital can hold a maximum of 5 pairs of electrons (2 electrons per pair), and there are 5 possible values for the magnetic quantum number (m) in the d orbital.

In general, the maximum number of electrons in an entire shell is given by the formula 2n^2, where n is the principal quantum number. For the 3d orbital, the principal quantum number is 3, so the maximum number of electrons in the entire shell is 2(3^2) = 18. However, the question specifically asks for the maximum number of electrons in the 3d orbital, which is 10.

Learn more about Quantum numbers

brainly.com/question/16977590

#SPJ11

F = (WTW)H and I is the identity matrix where stationary point in the NMF problem where the KKT conditions are satisfied.

To prove the relationship for a stationary point in the Non-negative Matrix Factorization (NMF) problem where the Karush-Kuhn-Tucker (KKT) conditions are satisfied, we start with the following expression:

IV - WHIV = 0

where I is the identity matrix, V is the non-negative input matrix, W and H are non-negative factor matrices, and the superscript T denotes matrix transpose.

Taking the trace of both sides of the above expression, we get:

tr(IV) - tr(WHIV) = 0

Now, we can use the trace property tr(ABC) = tr(CAB) to rewrite the second term:

tr(WHIV) = tr((IV)T(WH)) = tr(VT(WH))

Substituting this back into the previous equation, we get:

tr(IV) - tr(VT(WH)) = 0

Using the KKT conditions, we know that:

WH >= 0

V - WH >= 0

(WH)(V - WH) = 0

From the last condition, we have:

(WH)(V - WH) = WHV - (WH)^2 = 0

Rearranging, we get:

WHV = (WH)^2

Substituting this into the previous equation, we get:

tr(IV) - tr(VT(WH)) = 0

tr(V) - tr(WHVT) = 0

tr(V) - tr((WH)^2T) = 0

tr(V) - tr(H(WTWH)) = 0

Thus, we have proved the relationship:

IV - WHIV = WV - WHIF

where F = (WTW)H and I is the identity matrix.

This relationship holds for a stationary point in the NMF problem where the KKT conditions are satisfied.

Learn more about Non-negative Matrix Factorization (NMF)

brainly.com/question/30848398

#SPJ11