Answer:
Ok, I did this unit a little while ago but I think I solved it:
Hyp = 16
Opp = 8
Adj = 13.856
0 = 30 degrees
Step-by-step explanation:
You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.
Now you have to use the pythagorean theorem for the third side (adj), so:
a^2 + 8^2 = 16^2
The answer would be around 13.856 (round to what's required.)
Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:
sin-1(0)=8/16
so on your calculator, you should put:
sin-1(8/16)
the angle measure is 30, meaning its a 30 60 90 triangle.
The area in square feet of a rectangular field is x²-120 x+3500 . The width, in feet, is x-50 . What is the length, in feet?
The length of a rectangular field refers to the measurement of the longer side of the rectangle, which represents the distance between its two opposite ends, typically denoted as "l" in mathematical equations or formulas.
To find the length of the rectangular field, we need to divide the area by the width.
Given that the area is x² - 120x + 3500 and the width is x - 50, we can use the formula for area of a rectangle:
Area = Length * Width
Plugging in the given values, we have:
x² - 120x + 3500 = (x - 50) * Length
To solve for the length, we can divide both sides of the equation by x - 50:
(x² - 120x + 3500) / (x - 50) = Length
Simplifying the equation, we have:
Length = (x² - 120x + 3500) / (x - 50)
Therefore, the length of the rectangular field, in feet, is (x² - 120x + 3500) / (x - 50).
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50 hundredths = ______ thousandths equals?
Answer:
50/100 = 500/1000 or alternatively .50 = .500
Answer:
500
Step-by-step explanation:
50 hundredths written in standard form is 0.50 .
**Adding zeroes to the end of a decimal does not change the value of the number.
1 hundredth = 0.01
1 thousandth = 0.001
So, if there are 50 hundredths, how many thousandths would there be?
The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.
Back to the example, 1 hundredth = 10 thousandths:
0.01 = 0.010
If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.
0.50 = 0.500
50 hundredths = 500 thousandths
Stock price after a company reported a decrease in its sales, the price of the
company's stock began to drop by $0.25 every day the stock market was open, monday
through friday. the company continued to struggle for 6 weeks before reporting that
sales had improved. at that point, the stock price stopped dropping. during that
difficult 6-week period, the company's stock price continued to drop by $0.25 per day
each weekday. what was the change in the price of the company's stock from the
beginning of the 6-week period to the end of it?
The change in the price of the company's stock from the beginning of the 6-week period to the end of it is a decrease of $7.50.
The change in the price of the company's stock from the beginning of the 6-week period to the end of it is calculated by multiplying the number of weekdays in 6 weeks by the daily decrease in stock price.
First, we need to determine the number of weekdays in 6 weeks. There are 5 weekdays in a week, so we multiply 5 by 6 to get 30 weekdays.
Next, we multiply the number of weekdays (30) by the daily decrease in stock price ($0.25) to find the total decrease in stock price over the 6-week period.
30 weekdays * $0.25 decrease per day = $7.50
Therefore, the change in the price of the company's stock from the beginning of the 6-week period to the end of it is a decrease of $7.50.
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
1. A Young Girl Reading
Emily is reading a stapled comic, but 4 of
the pages are missing.
Pages 6 and 39 are missing.
Which other pages are missing?
How many pages did the comic have
originally?
Dongleon Cro
What are the pages that she didn’t read and how many pages are there in the comic?
The number of pages she didn't read are 5,6,39 and 40
The number of pages that are in the comic are 40 pages.
Calculating number of pages of a bookThe leave of a book contains both an odd number and an even number.
This means the page 1 and 2 is on a paper. Therefore, other pages she didn't read are pages 5 and 40.
The stabled comic book contains a total of 40 pages.
This is because the leaves of a book = 2 pages
From the question, if page 39 is among the missing pages, then the original number of pages of the comic = 40 pages.
Therefore, the number of pages she didn't read are 5,6,39 and 40 and the number of pages that are in the comic are 40 pages.
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martina's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs martina per pound, and type b coffee costs per pound. this month's blend used four times as many pounds of type b coffee as type a, for a total cost of . how many pounds of type a coffee were used?
Martina used 16 pounds of type A coffee in her blend.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
Let's assume that Martina used x pounds of type A coffee in her blend. Since the blend used four times as many pounds of type B coffee as type A, the amount of type B coffee used would be 4x pounds.
The total cost of the blend is given as the sum of the cost of type A and type B coffee, so we can write:
Cost = Cost of type A + Cost of type B
= x* + 4x*
Simplifying the expression, we get:
Cost = ( + 4) x
We are given that the total cost of the blend is , so we can write:
( + 4) x =
Solving for x, we get:
x = / ( + 4)
Substituting the given values, we get:
x = / ( + 4)
= / ( + 4)
= / ( + 4)
Therefore, Martina used 16 pounds of type A coffee in her blend.
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Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?
Answer: 140
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Khan academy answer
for an independent-measures t statistic, what is the effect of increasing the number of scores in the samples?
Increasing the number of scores in the samples for an independent-measures t-statistic has the effect of increasing the likelihood of rejecting the null hypothesis while having little or no effect on measures of effect size.
As the sample-size increases, the t-statistic becomes more robust and accurate, which leads to a more precise estimate of the population parameter. This increased precision reduces the variability in t-statistic, which makes it easier to detect small differences between the means of the independent groups.
With a larger sample size, the t-statistic's sampling distribution approaches a normal-distribution, allowing for more reliable statistical inference. This results in a narrower confidence interval and a smaller p-value, increasing the likelihood of rejecting the null hypothesis when there is a true difference between the groups.
Therefore, increasing number of scores in samples enhances power of independent-measures t-statistic.
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When an expression is in its simplest form it has no _________ or _______ ________
Fill in the blanks.
Janelle has to solve this system of equations:
3x+5y=7
3x+5y=-4
She says, "I can tell just by looking that this system will have no solutions." What does she mean? How can she tell?
Step-by-step explanation:
The slopes of the lines are the same....so they are parallel and do not intersect.....so no solutions
slope = -3/5 for both lines
Answer:
Step-by-step explanation:
Subtract equation 2 from equation 1:
3x + 5y = 7
-(3x + 5y) =-( -4)
0 + 0 = 13
0 ≠ 13 No Solution
Can a shape have the perimeter be the same as the area?
Answer:
In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.
Step-by-step explanation:
Answer maybe
Step-by-step explanation:
A small town has 3000 inhabitants. At 8 AM, 240 people have heard a rumor. By noon half the town has heard it. At what time will 90% of
By analyzing the given information, it can be determined that 90% of the small town's population, which consists of 3000 inhabitants, will have heard the rumor by approximately 1:30 PM.
The initial information states that at 8 AM, 240 people had heard the rumor. This implies that (240/3000) * 100 = 8% of the town's population knew about the rumor at that time. By noon, half of the town has heard the rumor, meaning 50% of 3000 inhabitants or 1500 people have heard it. This indicates that the rumor spread to an additional (1500-240) = 1260 people during this time frame.
To determine the time when 90% of the town's population will have heard the rumor, we can calculate the percentage increase from the initial 8% to 90%. The difference between these percentages is 90% - 8% = 82%. Since 1260 people heard the rumor between 8 AM and noon, it is reasonable to assume a similar rate of increase for the remaining 82% of the population.
To find the time, we can calculate the time it took for the initial 8% to increase to 82% by dividing the increase in percentage (82%) by the increase in people (1260). This gives us (82/1260) = 0.0651 percentage increase per person. To reach 82% (90% - 8%) of the population, we can divide 82% by 0.0651, resulting in approximately 1260 / 0.0651 = 19344 people.
Since the initial 240 people heard the rumor at 8 AM and an additional 1260 people heard it by noon, the total number of people who have heard the rumor by noon is 240 + 1260 = 1500. To reach 19344 people, the rumor will need to spread to 19344 - 1500 = 17844 more people.
Considering the similar rate of increase, it can be estimated that it will take the same amount of time to reach this additional number of people as it took to reach the first 1500 people. Hence, by extrapolating this, it can be approximated that by approximately 1:30 PM, 90% of the small town's population will have heard the rumor.
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How many solutions does this equation have 3(x+1)-5=3x-2
Answer:
Infinite.
Step-by-step explanation:
3(x+1)-5=3x-2
3x+3-5=3x-2
3x-2=3x-2
True for any number.
Answer:
that has only one solution
Step-by-step explanation:
1. g(x) = f(x) - 7
how do u solve these?
Answer:
g' (×)=f
Step-by-step explanation:
g (×)=f×-7
g' (×)= d÷d× (f×-7)
d÷d×(f+g)=d÷d×(f)+d÷d=(g)
g' (×)=d÷d×(f×)-d÷d×(7)
g'(×)=f-d÷d×(7)
g'(×)=f-0
g'(×)=f
Please help me :3 these are my questions and i need help.Any at all will be appreciated
I think you did this. I don't really know.
find how many natural numbers under 100 are not divisible by either, 2,3,5,7 b) use this result to determine how many prime numbers less than 100 there are
Answer:
a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.
There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:
11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
b.) Use this result to determine how many prime numbers less than 100 there are.
Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.
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Solve the system by substitution -10x+2y=-32 9x=y
an online travel service offers a package that will save 10 percent. what will your cost be if you buy the package?
Answer:
Step-by-step explanation:
i don't know
A 6 sided cube with sides labeled 1,2,3,4,5 and 6 is rolled 50 times. What is a good prediction for the number of times 5 will be rolled?
Answer:
A good prediction is that the number 5 will be rolled 8 times
Step-by-step explanation:
Here, we want to get the number of times 5 would occur in a roll of 50
firstly, we need the probability of having a 5 come up
To do this, we have to divide the number of 5’s by the count of possible numbers
We have this simply as 1/6
Now, we have to multiply this by 50
we have this as;
1/6 * 50 = 8.333
This is approximately 8
so we have it that in 50 rolls, we can have the number 5 coming up 8 times
five families each have 3 kids. each kid has a 1/4 chance of having blue eyes. what is the probability that at least 2 of the 5 families have at least 2 kids with blue eyes?
On solving the provided question, we can say that Probability of at least 2 of the 5 families have at least 2 kids with blue eyes P =\(10/37 = 0.2703\)
what is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.
The likelihood that two or more of the three kids have blue eyes is = \((1/4 *1/4 * 1/4) + 3(1/4 * 1/4 * 3/4) = 10/64.\)
However, since it is assumed that at least one child has blue eyes, the possibility of their being no blue-eyed offspring is excluded. \((3/4 * 3/4 * 3/4) = 27/64\) is eliminated, leaving 37/64 as the remaining valid domain. As a consequence, the reciprocal of the remaining valid domain (64/37) must be multiplied by the result in (1) above (10/64). This results \(10/64 * 64/37 = 10/37.\)
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How many ways can seven finalists for a job be selected from eleven interviewees?
help please, do working outs too i don’t understand it
1.) The line with the greatest slope.
The greater the slope of the line, the more upright it is. Observing the given graph, the line with the greatest slope is line a.
2.) Lines that are parallel.
Two lines are parallel if they do not have an intersection with each other at any point in the graph. We can see that line b and line d, do not intersect at any point in the graph and are thus parallel lines.
3.) Line with a negative slope
A line with a negative slope is a line that goes downwards from left to right, in the graph we can see that line e and line f goes downwards from left to right.
4.) Line that is perpendicular to the y-axis.
A line that is perpendicular to the y-axis, is a line that is parallel to the x-axis. Looking at the graph, line c is perpendicular to the y-axis.
What is the volume of a sphere with a radius of 9.7 ft, rounded to the nearest tenth of
a cubic foot?
Answer:
3923
Step-by-step explanation:
Have a nice day!
Answer:
3823.0 or 40
Step-by-step explanation:
Delta math
Simplify (w^5/x^3)^8
Given the expression
\((\frac{w^5}{x^3})^8\)Use the facts that
\((\frac{a}{b})^n=\frac{a^n}{b^n},(a^m)^n=a^{mn}\)So, the expression can be simplified as:
\(\begin{gathered} \frac{(w^5)^8}{(x^3)^8}=\frac{w^{5\cdot8}}{x^{3\cdot8}} \\ =\frac{w^{40}}{x^{24}} \end{gathered}\)3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.3 ounces of cereal (as labeled on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces. Which of the following is an appropriate statement of the null hypothesis?
A) The machine fills the boxes with the proper amount of cereal.
B) The average is 24.3 ounces (H0: μ = 24.3)
C) The machine is not filling the boxes with the proper amount of cereal (H0: μ ≠ 24.3 ounces).
D) The machine is not putting enough cereal in the boxes.
E) The average is less than 24.3 ounces (H0: μ < 24.3).
F) The machine fills the boxes with an average of 23.6 ounces (H0: μ = 23.6).
Answer:
B.
Step-by-step explanation:
The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.
So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.
Hope this helps!
The average U.S. resident uses 100 gallons of
water per day. The population of the United
States is about 3.23 x 108. About how
many gallons of water do U.S. residents use
each day? Express your answer in scientific
notation.
Answer:
3.4884 x 10^4
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The total number of gallons of water do U.S. residents use
each day is \(3.23 \times 10^{10}\).
Given that, total numbers of gallons of water uses each day = 100 and population of US = \(3.23 \times 10^8\).
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Now, the total number of gallons of water US resident use each day = US population × Number of gallons of water US resident use each day
= \(3.23 \times 10^8 \times 100\)
= \(3.23 \times 10^8 \times 10^2\)
=\(3.23 \times 10^{10}\)
Therefore, the total number of gallons of water do U.S. residents use
each day is \(3.23 \times 10^{10}\).
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the nutty professor sells cashews for $7.70 per pound and brazil nuts for $4.80 per pound. how much of each type should be used to make a 27 pound mixture that sells for $6.41 per pound?
The amount that each type would be 11.87 lbs of cashews and 15.13 lbs of brazil nuts
1. First, find the total cost of 27 lbs of the mixture: 27 lbs x $6.41/lb = $171.07.
2. Next, find the cost of cashews and brazil nuts in the mixture. Cashews cost $7.70/lb and brazil nuts cost $4.80/lb.
3. Subtract the cost of the brazil nuts from the total cost of the mixture: $171.07 - (27 lbs x $4.80/lb) = $105.27.
4. Divide the cost of the cashews ($105.27) by the cost of one pound of cashews ($7.70): $105.27/$7.70 = 13.66 lbs.
5. Subtract the number of pounds of cashews (13.66) from the total pounds of the mixture (27) to find the number of pounds of brazil nuts: 27 - 13.66 = 15.13 lbs.
6. Therefore, the mixture should contain 11.87 lbs of cashews and 15.13 lbs of brazil nuts.
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the alexander family and the chen family each used their sprinklers last summer. the water output rate for the alexander family's sprinkler was 30l per hour. the water output rate for the chen family's sprinkler was 40l per hour. the families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 2250l. how long was each sprinkler used?
The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.
To find out how long each sprinkler was used, we can set up a system of equations. Let's say the Alexander family used their sprinkler for x hours, and the Chen family used their sprinkler for y hours.
From the given information, we know that the water output rate for the Alexander family's sprinkler is 30 liters per hour. Therefore, the total water output from their sprinkler is 30x liters.
Similarly, the water output rate for the Chen family's sprinkler is 40 liters per hour, resulting in a total water output of 40y liters.
Since the combined total water output from both sprinklers is 2250 liters, we can set up the equation 30x + 40y = 2250.
We also know that the families used their sprinklers for a combined total of 65 hours, so we can set up the equation x + y = 65.
Now we can solve this system of equations to find the values of x and y, which represent the number of hours each sprinkler was used.
By solving the equation we get,
The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.
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The engineer's model of a sugar factory has a floor area of 30 inches by 52 inches. The floor area of the model is __________ square feet.
The floor area of the engineer's model of the sugar factory is 10.825 square feet.
To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.
The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.
To find the floor area, we multiply the length by the width:
Area = Length × Width
= 2.5 feet × 4.33 feet
= 10.825 square feet
It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.
In actuality, a sugar factory would have much larger dimensions.
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