Sydney is trying to pick out an outfit for the first day of school. She can choose from 3 pairs of pants, 7 t-shirts, 8 sweaters or hoodies, and 4 pairs of shoes. How many different outfits does Sydney have to choose from?

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

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Answer:

-2 degrees C

Step-by-step explanation:

So first let's see how many hours passed by:

3 p.m. to 10 p.m is 7 hours

Let's see how much the temperature changed:

-20 - ( -6 )

-20 + 6

-14

Now to find how much the temp changed per hour, divide the amount the temp changed by the amount of hours:

-14 / 7 = -2

The temp dropped 2 degrees C each hour.

Answer:

-2

Step-by-step explanation:

You have to find the difference between-6 and -20 which will equal -14.

You would then have to divide -14 by 7, as there is a 7 hour difference between 3pm and 10pm.

-14 ÷ 7 = -2.

Hope that helps :)

Answer:

slope = -13/28

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) = (7-(-6))/(-11-(17) = 13/-28

The figure shown can be divided into three rectangles , the two yellow ones and the blue one.

As the width of the yellow triangles is 1 unit and the length of the entire shape is 8 units , it can be calculated that the length of the blue triangle is 6 units ( as shown in second picture )

\(\therefore \: area \: of \: figure \: = \: area \: of \: two \: yellow \: triangles \: \times area \: of \: blue \: triangle\)

\(area \: of \: figure \: = 2( \: l \times b \: ) + ( \: l' \times b' \: ) \\ \dashrightarrow \: area \: = 2(5 \times 1) + (6 \times 1) \\ \dashrightarrow \: area = 10 + 6 \\ \dashrightarrow \: \boxed{area \: = 16 \: {units}^{2} }\)

hope helpful! :)

Answer:

504

Step-by-step explanation:

A = (.5bh)*6

Plug in your known numbers

A = (.5*12*14)*6

Since there is nothing missing just multiple together and you'll get

Answer:

-79

Step-by-step explanation:

First Identify the sequence

-28 to -45 is -17

-45 to -62 is -17

This is an Arithmetic Sequence because it is constant

(Constant ; same throughout)

Two Formulas:

a60=28 -45 -62

or

an= -17(60)-11

Answer: that four of them are stupid

Step-by-step explanation:

Answer:

25% :D

Step-by-step explanation:

Answer:

80  4

Step-by-step explanation:

80 + 4 = 84

80/4=20

Hope this helps :)

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

Answer:

18.67 cups of flour per serving.

Step-by-step explanation:

Since you only need to know how many cups of flour there are per serving, you can ignore the white and brown sugar.

112/6=18.67 cups of flour per serving.

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

The value  of f(17) as per the sequence is 70.

Given that:-

f(1) = 6

f(n) = f(n - 1) + 4

We have to find the value of f(17).

Let us find the pattern of the values.

f(2) = f(1) + 4 = 6 + 4 = 10

f(3) = f(2) + 4 = 10 + 4 = 14

f(4) = f(3) + 4 = 14 + 4 = 18

Hence, we can see that the values of f(n) are increasing by 4.

Hence, we can write the pattern as:-

f(n) = f(1) + (n-1)*4 = f(1) + 4(n-1)

Hence, we can find f(17) as:-

f(17) = 6 + 4*(17-1) = 6 + 4*16 = 6 + 64 = 70.

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However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

Step-by-step explanation:

If the rate of change of sales is inversely proportional to the time t, this is expressed mathematically as ΔS ∝ 1/Δt

ΔS = k/Δt where k is the constant of proportionality

If ΔS = S₂-S₁ and Δt = t₂-t₁

S₂-S₁ = k/ t₂-t₁

If the sales after 2 and 4 weeks are 162 units and 287 units respectively, then when S₁  = 162, t₁ = 2 and when   S₂ = 287, t₂ = 4.

On substituting this values into the given functions, we will have;

287 - 162 = k/4-2

125 = k/2

cross multiplying

k = 125* 2

k = 250

Substituting k = 250 into the function ΔS = k/Δt

ΔS = 250/Δt

S = 250/t

Hence the value of S as function of t when the sales after 2 and 4 weeks are 162 units and 287 units, respectively is expressed as S = 250/t

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

area 1

Step-by-step explanation:

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

x=3 y=2 (3,2)

Step-by-step explanation:

200x + 300y = 1200(-1)

100x + 400y = 1100(-2)

-200x - 300y = -1200

200x + 800y = 2200 (x's cancel)

500y = 1000 (divide by 500)

y = 2 (plug in 2 for y in on of the equations) *best to use the easiest equation*

200x + 300y = 1200

200x + 300(2) = 1200

200x + 600 = 1200 (subtract 600 from both sides)

200x = 600 (divide by 200)

x = 3

Answer:

Step-by-step explanation:

$373 - $74 = $299

299 divided by 23 = 13

13 months (?)

Using Pythagorean theorem we can find AC:

\(AC = \sqrt{12^2-6^2} = \sqrt{108} = 6\sqrt{3}\)

In right triangle, the tangent is defined as the ratio of the opposite side to the adjacent side. This is:

tan 60 = opposite side / adjacent side

tan 60 = 6√3  /  6

tan 60 = √3

Answer:

0.3

Step-by-step explanation:

You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.

Hope this helps!

I think that chart is a bit overdue or inaccurate xd

The length of the highway on the map would be 2.5 inches.

Length is a measure of distance or size. It can be measured in a variety of ways, including inches, centimeters, meters, feet, miles, and more. Length is an important concept in mathematics, science, engineering, and many other fields. It is used to calculate distances, dimensions, surface area, and more. It is also used to measure the time it takes to travel a certain distance. Length is an important concept that is used to measure and compare objects.

To calculate this, divide the total mileage of 700 miles by the 200 miles represented by 3/4 inch. This gives you a ratio of 3.75:1. Multiply this ratio by the 3/4 inch length to get the total length of the highway on the map. 3/4 inch multiplied by 3.75 equals 2.8125 inches, which can be rounded to 2.5 inches.

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Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

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The rate in mm/minutes is 4/7 mm/ minutes.

Rate is the total length per time. In order to determine the rate, the total length knit would be divided by the total time.

Rate = length / time

The first step to take is to convert cm to mm. In order to do this, the rate of conversion has to be known.

1 cm = 10mm

2cm = 2 x 10 =  20mm

Now that conversion has taken place, the rate can now be determined.

Rate = 20 / 35 = 4/7 mm/minutes

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B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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