Answer:
C
Step-by-step explanation:
If 75 capsules of a drug cost $60, what would 40 capsules of the same drug cost?
At a college, 4/5 of the students take an English class. Of these students, 5/6 Composition. Which fraction of the students at the college take Composition?
The fraction of students who take Composition at the college is 2/3.
Explanation:To find the fraction of students who take the Composition class, we need to multiply the fraction of students who take an English class (4/5) by the fraction of English students who take the Composition class (5/6).
Multiplying these fractions, we get (4/5) * (5/6) = 20/30 = 2/3.
Therefore, 2/3 of the students at the college take Composition.
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To test upper h 0 : mu equals 72 versus upper h 1 : mu less than 72, a simple random sample of size nequals20 is obtained from a population that is known to be normally distributed, and the sample standard deviation is found to be 6. complete parts (a) and (b) below.
the expression sinx + cotx cosx can be simplified to___. A. cotx B. cscx C. cosx sinx D. secx
Answer:
Solution-
∵ cotx = (cosx÷sinx)
∴ The given expression can be written as
sinx + cotx·cosx = sinx + ( cosx÷ sinx).cosx
⇒sinx +(cosx)²÷sinx = [ (sinx)² + (cosx)²] ÷ sinx
⇒ 1÷ sinx = cosecx = cscx
using the identity (sinx)²+(cosx)²=1
∴ option B is correct.
hey can you please help me posted picture of question
Evaluate log416 -2 1/2 2
16 = 4²
So, by the definition of logarithms
[tex]\log_4{16}=2[/tex]
Which conversion requires multiplication? Use the metric table to help answer the question.
Answer:
centimeters to kilometers
Step-by-step explanation:
this is not a question i just need someone to make sure i did #16 right. Thanks;)
PLZ HELP NOOOOW!!
Sarah ran around a track 1 1/2 times. The track in 3/4 of a mile long.
How many miles did Sarah run?
Q # 1 solve the problem
A real estate broker sold your house for $189,000. The broker's commission was 4.5 percent of the selling price. How much would you get for the house after the commission is paid?
Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants.
For every 777 plants in Coco's garden, there are 2_____ plants.
Which of the following sets shows all the numbers from the set {0, 0.5, 1, 2.5, 3} that make the inequality 2a + 3 ≥ 8 true?
{2.5, 3}
{1, 2.5, 3}
{0, 0.5, 1}
{0.5, 1}
Explain how you got your answer
PLEASE AND THANK YOU
Answer: A
Step-by-step explanation:
find the center and radius of the circle (x+8)^2+(y-2)^2=25
A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
Answer:
B on edge 190
Step-by-step explanation:
What is the slope of the line y = 3?
change -115 degrees to radian measure in terms of pi
Answer:
-23/36 pi
Step-by-step explanation:
(-115 x pi) / 180
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with the tickets sold. $1,760 = $20t. What is the unit rate in the equation above?
A certain country's postal service currently uses 6-digit zip codes in most areas. how many zip codes are possible if there are no restrictions on the digits used? how many would be possible if the first number could not be 0?
For a 6-digit zip code with no restrictions, there would be 1,000,000 possible zip codes. If the first digit could not be a '0', the number of possible zip codes would decrease to 900,000.
Explanation:We're dealing with a counting problem here. This problem involves basic principles of combinatorics.
Firstly, if there are no restrictions on the digits used, each of the six positions in the zip code can hold any digit from 0 to 9. There are 10 choices (from 0 to 9) for each of the 6 digits in the zip code which leads to 10^6 = 1,000,000 possible zip codes.
However, if the first number could not be 0, there are 9 possible choices for the first digit and 10 choices for each of the remaining 5 digits. Therefore, the number of possible zip codes would be 9 * 10^5 = 900,000.
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What is 3km 9hm 9dm +7km 7dam
A Fermi estimate is an estimate of a very large number found by using geometry to estimate measurements of a real-world objects
True
or
False
False. A Fermi estimate doesn't rely on geometry. It's a method for approximating large numbers using basic assumptions and math.
False. A Fermi estimate is not reliant on geometry to estimate measurements of real-world objects.
Instead, it's a method for making quick, rough approximations of quantities or numbers, especially when precise data is unavailable or impractical to obtain. Named after physicist Enrico Fermi, this approach involves breaking down complex problems into simpler components, making reasonable assumptions, and using basic mathematics to arrive at an estimate.
While geometry might be employed in some cases, Fermi estimates primarily focus on leveraging broad understanding and educated guesses to reach ballpark figures rather than precise calculations based on specific measurements.
It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messages than pictures. How many text messages, x, and pictures, y, did you send?
This is a problem of system of linear equations. We form two equations from the conditions given in the problem, and solve the system of equations to find the number of text messages and pictures sent.
Explanation:This is a problem of system of linear equations. Here are two conditions mentioned: The total cost and difference of number of text messages and pictures.
Let's denote the number of text messages as x and pictures as y as per your question.
From the cost, we have the equation: $0.05x + $0.10y = $4.
From the difference of the number of sent messages and pictures, we have: x = y + 5.
Now we can substitute x from the second equation into the first one, get the value for y, and calculate the value for x after. Here you have step-by-step solution for your problem.
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Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. How many grams of coffee beans foes Diana uses when company comes?
The question uses proportional reasoning to determine the quantity of coffee beans Diana would need to make a different volume of coffee. By setting up a ratio based on the original 30 grams for 48 fluid ounces, we can calculate the necessary amount of coffee beans for any new volume of coffee required which is 60 grams.
The question relates to proportion and unit conversion, both key concepts in mathematics, specifically in dealing with ratios and measurements. Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. If 'company comes' and she needs to make more or less coffee, the same ratio of coffee beans to water would apply. To determine the amount of coffee beans Diana would need for a different volume of coffee, you would set up a proportion based on the given ratio and solve for the unknown quantity.
To calculate the amount of coffee beans for a new volume, you can use the following steps:
Determine the new volume of coffee in fluid ounces.
Set up a ratio comparing 30 grams of coffee beans to 48 fluid ounces.
Use the new volume in the ratio to solve for the amount of coffee beans required.
For example, if Diana wants to make 96 fluid ounces of coffee for her company, the proportion would be:
30 grams / 48 fluid ounces = X grams / 96 fluid ounces
Solving this gives us X = (30 grams * 96 fluid ounces) / 48 fluid ounces = 60 grams. Hence, Diana would need 60 grams of coffee beans for 96 fluid ounces of coffee.
the quotient of a number and 9 is equal to the same number decreased by 40. what is the number
function is a line points (3,2), (5,8), and (8,y) what is y
if a horse weighs 500kg and a spider 1g how many spiders weigh the same as one horse??
what is the best estimate for the total weight of these cold meat 1 7/8 lb of Bologna 1 and 1/2 pounds of ham and 7/8 lb of roast beef
Select whether the number is rational, irrational, or imaginary. 1/4
The value of number 1 / 4 is a Rational number.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
We have to given that;
The number is,
⇒ 1 / 4
Now, Number 1 / 4 is of the form p / q (fraction form).
Hence, We can say that;
The value of number 1 / 4 is a Rational number.
Thus, It is a Rational number.
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The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.
The exponential function gotten from the table is given by y = 4(1/2)ˣ
Exponential function
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
From the table, at point (0, 4):
4 = ab⁰a = 4At point (3, 1/2):
y = abˣ1/2 = 4b³b = 1/2The exponential function gotten from the table is given by y = 4(1/2)ˣ
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2(3y-1)3(y-4)=13 please show step by step