Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
Find the value of x. PLEASE HELP - test tomorrow
The answer is 59.
I need to show my work.
THANK YOU!!!!!
Answer:
b and 59° are vertical angles so they are equal.
b=59°
Money that is collecting interest in a bank account doubles in value every 8
years.
When the account was opened, it had 8, or 23 dollars in it. After 32 years, the
account balance has doubled 4 times, increasing by a factor of 24,
It now has a balance of 23. 24. Expressed as a power, how much money, in
dollars, is in the account after 32 years?
A. 24
d
B. 27
C. 212
D. 47
Answer:
2 to the power of 7
Step-by-step explanation:
add the powers when it is multiplication
7/10 divided by 4/5 in simplest form
Answer:
7/8
Step-by-step explanation:
7/10 ÷ 4/5
Copy dot flip
7/10 * 5/4
Rewriting
7/4 * 5/10
7/4 * 1/2
7/8
7/10 divided by 4/5 in simplest form is 7/8.
How to express 7/10 divided by 4/5 in simplest formTo divide the fraction 7/10 by 4/5, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 4/5 is 5/4.
So, (7/10) ÷ (4/5) is equivalent to (7/10) * (5/4).
Multiplying the numerators and denominators:
(7 * 5) / (10 * 4) = 35/40
The fraction 35/40 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 5.
Dividing both the numerator and denominator by 5:
35 ÷ 5 = 7
40 ÷ 5 = 8
Therefore, 7/10 divided by 4/5 in simplest form is 7/8.
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Under her cell phone plan, Zendaya pays a flat cost of $42 per month and $4 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Zendaya can use while staying within her budget.
Answer: 4x + 42 < 50
Step-by-step explanation: $42 is the flat price so that is our constant; $4 per gigabyte is our variable. If she wants to keep her bill UNDER $50 dollars a month you would put a less than symbol.
Answer:
Step-by-step explanation:
i did the work and i got 4x + 42 < 50
Rounded to the nearest tenth, what is the perimeter of the triangle?
60°
5 cm
30°
Answer:
11.0 cm
Step-by-step explanation:
Answer:
11.8 cm
Step-by-step explanation:
2.5 + 5 + 2.5√3 = 7.5 + 2.5√3 = 11.8 cm
How do you simplify (2/3) with a sqrt of 2
A mathematical model is a simplified description of a system or a process. In your opinion, how are mathematical models helpful? What are the advantages and disadvantages of using a model? In what ways are mathematical models linked to the fields of chemistry, biology, and physics? Cite several examples.
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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Exercise 1.2
A person has G¢60 to spend on two goods, X and Y, whose respective prices are GH¢6 and GH¢4.
(a) Draw a budget line showing all the different combinations of the two goods that can be bought within the given budget.
(b) What happens to the original budget line if the budget is increased by 20%?
(c) What happens to the original budget line if the price of X is halved?
(a) The maximum combination of X and Y is (10, 15).
(b). The new maximum combination of X and Y is (12, 18).
(c). The new maximum combination of X and Y is (20, 15).
To draw the budget line, we need to determine the different combinations of goods X and Y that can be bought within the given budget.
The budget line represents all the possible combinations of X and Y that can be purchased with G¢60.
Let's assume the quantity of good X is represented on the x-axis and the quantity of good Y is represented on the y-axis.
The combinations, we can start with the maximum quantity of each good that can be purchased with the given budget.
Given that the price of X is GH¢6 and the price of Y is GH¢4, we can calculate:
Maximum quantity of X = G¢60 / GH¢6 = 10
Maximum quantity of Y = G¢60 / GH¢4 = 15
Now, we can plot the budget line connecting this point with the origin (0, 0).
The budget line represents all the combinations of X and Y that can be purchased with G¢60.
|
15 +---------------------
|
|
|
10 + /
| /
| /
| /
Y | /
| /
5 + /
| /
| /
| /
0 +-----------------------
0 5 10 15 X
(b) If the budget is increased by 20%, the new budget will be 120% of the original budget.
New budget = 120% of G¢60 = 1.2 × G¢60
= G¢72
To draw the new budget line, we repeat the steps from part (a) using the new budget of G¢72.
Maximum quantity of X = G¢72 / GH¢6 = 12
Maximum quantity of Y = G¢72 / GH¢4 = 18
Plotting the new budget line:
|
18 +---------------------
|
|
|
12 + /
| /
| /
| /
Y | /
| /
6 + /
| /
| /
| /
0 +-----------------------
0 6 12 18 X
(c) If the price of X is halved, the new price of X will be GH¢6 / 2 = GH¢3.
To draw the new budget line, we keep the budget and the price of Y the same as in the original scenario.
Only the price of X changes.
Maximum quantity of X = G¢60 / GH¢3 = 20
Maximum quantity of Y = G¢60 / GH¢4 = 15
Plotting the new budget line:
|
15 +---------------------
|
|
|
20 + /
| /
| /
| /
Y | /
| /
5 + /
| /
| /
| /
0 +-----------------------
0 5 10 15 X
Note that the slope of the budget line changes in both cases, reflecting the changes in the budget and the price of X.
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60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
The price of a pizza plus 12% delivery charge comes to a total cost of $17.92. What was the price of the pizza?
Answer:
i believe the answer is 14.93 dollars.
Step-by-step explanation:
The population of a city of 826,000 people decreases 3% per year.
Determine what the population of that city would be after 10 years.
Answer:
588200
Step-by-step explanation:
3% of 826,000 is 24780, 24780 x 10 years is 247800
826,000-247800= 588200
A die is rolled nine times and the number of times that two shows on the upper face is counted. If this experiment is repeated many times, find the mean for the number of twos.
Answer:
\(E(x) = 1.5\\\)
Step-by-step explanation:
Given
\(n = 9\) -- number of rolls
Required
The mean of 2's
The distribution follows binomial distribution where:
\(X \to Binomial(n,p)\)
In this case:
\(p= \frac{1}{6}\) ---- the theoretical probability of rolling 2
So, the mean of 2's is calculated using:
\(E(x) = np\)
\(E(x) = 9 * \frac{1}{6}\)
\(E(x) = \frac{9}{6}\)
Simplify
\(E(x) = \frac{3}{2}\) or
\(E(x) = 1.5\\\)
a real number that is not a natural
Answer:
Irrational numbers: Real numbers that are not rational. Purely imaginary numbers: Numbers that equal the product of a real number and the square root of −1. The number 0 is both real and purely imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Answer: well it natural because it is exist
Step-by-step explanation:
there are 15 picecs of fruit in a bowl and 6 of them are apples. what percentage of the pieces of fruit in the bowl are apples
Answer:
0.06 %
Step-by-step explanation:
Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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what is the sum of 1.34 0.065 4.03
Answer:
5.435
Step-by-step explanation:
Q) 1.34 + 0.065 + 4.03 = ?
→ 1.34 + 0.065 + 4.03
→ 5.435
Hence, the sum is 5.435.
Help, will mark brainliest, and show work
Answer:
\(x=10\)
Step-by-step explanation:
Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).
Thus, we can set up the following proportion:
\(\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}\)
0.392 is what percent of 28?
Pleasee
Answer:
28% of 0.392=0.10976
Step-by-step explanation:
1. We assume, that the number 0.392 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.392 is 100%, so we can write it down as 0.392=100%.
4. We know, that x is 28% of the output value, so we can write it down as x=28%.
5. Now we have two simple equations:
1) 0.392=100%
2) x=28%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.392/x=100%/28%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for what is 28% of 0.392
0.10976
The library is 10 kilometers south of Aaron’s home the school is 10 kilometers east of Aaron’s home how many kilometers to the nearest tenth of a kilometer is the liberty from the school
There are 14.1 kilometers to the nearest tenth of a kilometer is the liberty from the school
How to determine how many kilometers to the nearest tenth of a kilometer is the liberty from the school?The given parameters are
Library = 10 kilometers south of Aaron’s home
School = 10 kilometers east of Aaron’s home
The number of kilometers to the nearest tenth of a kilometer is the liberty from the school is calculated as
Distance = √Library² + School²
Substitute the known values in the above equation
So, we have
Distance = √10² + 10²
Evaluate the exponents in the above equation
So, we have
Distance = √100 + 100
Evaluate the sum in the above equation
So, we have
Distance = √200
Evaluate the exponents in the above equation
So, we have
Distance = 14.1
Hence, there are 14.1 kilometers to the nearest tenth of a kilometer is the liberty from the school
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1. determine grams of agarose required to make 60 ml of a 0.8% (w/v) agarose solution in 1x tae (tris base-acetic-acid-edta): express answer with two decimals.
The grams of agarose required to prepare a 0.8% (w/v) agarose solution is 0.48 grams.
To make a 0.8% (w/v) agarose solution in 1x TAE, you will need to calculate the grams of agarose required using the formula:
Grams of agarose = (volume of solution in ml) x (percentage of agarose solution)
In this case, the volume of solution is 60 ml and the percentage of agarose solution is 0.8%.
Grams of agarose = (60 ml) x (0.8%)
Grams of agarose = (60 ml) x (0.008)
Grams of agarose = 0.48 g
In conclusion, you will need 0.48 grams of agarose to make 60 ml of a 0.8% (w/v) agarose solution in 1x TAE.
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4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
A number n minus the sum of the number and eight
The algebraic expression for the sentence in this problem is given as follows:
n - (x + 8).
How to obtain the algebraic expression for the sentence?The sentence in this problem is given as follows:
"A number n minus the sum of the number and eight".
The sum of an unknown number x and eight is given as follows:
x + 8.
The subtraction of the number n by the expression is given as follows:
n - (x + 8).
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HELP ME HELP ME
What is the slope of the line?
4 divided by 0.572 whats the answer
Answer:
6.993006
Step-by-step explanation:
repeated
3. Letx = -5 and y=-*
0
Which expression has a negative value?
A. x + y
B. x - y
C. X. y
D.
Y
Answer:
A
Step-by-step explanation:
I don't really understand the numbers but if both X and Y are negative, then adding the 2 will result in a negative value. Multiplying 2 negative values will be positive, as will dividing them, and sometimes subtracting will too.
Find the area and circumference of a circle with a radius of 13cm. ::note:: answers can be written in decimal form to the nearest hundredth (for example, 9.42) or in terms of pi (for example if you wanted to say 3π
you could write 3 pi--the pi symbol is not available to Area=
Circumference=
Answer:
14cm
Step-by-step explanation:
Answer:
28 cm2
14 cm
Step-by-step explanation:
-4(6x + 7) = -316 What is the answer?
Answer:
\(x=-\frac{43}{3}\)
Step-by-step explanation:
\(-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}\)
Answer:
x=12
Step-by-step explanation:
hope this helps! -4(6x + 7) = -316=x=12
3. The fuel economy of a car, measured in miles per gallon, is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour. What's the fuel economy of the car when it
travels at an average of 20 miles an hour?
O A. 20 miles per gallon
O B. 26.63 miles per gallon
4
O C.-10.02 miles per gallon"
O D. 22.38 miles per gallon
O Mark for review (Will be highlighted on the review page)
Answer:
The Answer Will Be D
Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.
Which pair of angles are interior angles?
Efia draws this scale drawing of two famous landmarks. Each
inch in the drawing represents 400 ft on the actual landmark.
Approximately how much taller is the actual Eiffel Tower than
the actual Space Needle? Show your work.
The eiffiel tower will be 32.49 times larger than the drawing because the drawing wil be about 2.7 inches if each inch represents 400 ft since the eifell tower is about 1083 feet.