Hi!
Your answer is 52.
To start off, let's start with some facts that will help us solve this:
Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
Triangles (all of them) have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
\(67 +?=180\)
\(?=113\)
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
\(15+113+x=180\)
\(128+x=180\)
\(x=52\)
Therefore, x is equal to 52.
1. Julie had saved 105 coins from her daily allowance. If the coins consist of 5-peso coins and 10-peso coins amounting to ₱950, how many of each kind of coin did she have?
Answer:
p of the ten-peso coins
105-p of the five-peso coins
Step-by-step explanation:
hope it helps
a scientist claims that 60% of u.s. adults believe humans contribute to an increase in global temperature. a 95% confidence interval for the proportion of u.s. adults who say that the activities of humans are contributing to an increase in global temperatures is found to be (0.626, 0.674). does this confidence interval support the scientist's claim?\
The scientist claims that 60% of U.S. adults believe humans contribute to an increase in global temperature. A 95% confidence interval for the proportion of U.S. adults who hold this belief is found to be (0.626, 0.674). This confidence interval supports the scientist's claim.
To determine if this confidence interval supports the scientist's claim, we need to examine whether the claimed proportion of 60% falls within the confidence interval.
The confidence interval (0.626, 0.674) indicates that we are 95% confident that the true proportion of U.S. adults who believe humans contribute to an increase in global temperature lies between 0.626 and 0.674. Since the claimed proportion of 60% falls within this range, it is within the confidence interval.
Therefore, we can conclude that the confidence interval supports the scientist's claim. This means there is strong evidence to suggest that a significant majority of U.S. adults believe humans contribute to an increase in global temperature, as the lower bound of the confidence interval is 62.6% and the upper bound is 67.4%.
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Find the indicated one-sided limits, if they exist. (if an answer does not exist, enter dne.)
The limit doesn't exist.
What is a limit?
The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.
In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.
A function's limit is typically expressed in formulas as
\(\lim_{x \to c } F(x) = L\)
It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.
\(F(x) = -x+8 ,x\leq 0\)
\(F(x) = 4x+9 , if x > 0\)
\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)
\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)
\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)
So limit doesn't exist
For limit to exist
\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)
must be satisfied
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The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
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the major difference between simple random samples and systematic samples is that the latter are not selected randomly. select one: true false
Its true that major difference simple random samples and systematic samples is that the latter are not selected randomly.
Simple random samples are those samples which are selected from the population totally randomly
here , each data point have equal probability of being chosen.
The data point are independent to each other. This sampling technique requires the reach throughout the total scope of the population.
That's why for sample random sample population size should be small for effective result
whereas , Systematic samples are those samples which are selected in a proper systematic order .
Here , only the starting point is being selected randomly and then next data points are selected as pre-defined order.
So , The major difference between simple random samples and systematic samples is that the latter are not selected randomly.
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Which value is equivalent to 4/64?
Answer:
4/64 value is equivalent to 1/16
Solve for x. 1/4+1/2+x=−3/4 Enter your answer as a fraction in simplest form in the box.
Answer:
yes!! finally a question i can solve:
so,
Step-by-step explanation:
Exact Form:
x = − 3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = -1 1/2
A popular roller coaster ride lasts 8 minutes. There are 24 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time? Multiple Choice A) 24 B) 6 C) 3 D) 8
An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.
To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:
Number of people per minute = Number of people on the roller coaster / Duration of the ride
Number of people on the roller coaster = 24
Duration of the ride = 8 minutes
Number of people per minute = 24 / 8 = 3
Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
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calculate the slope of the line (-6,-3) (-2,-3)
Answer:
There is no slope
Step-by-step explanation:
When finding the slope both numbers have to be positive without positive numbers you will not have a positive slope there fore no slope
6. probability regan is standing at the origin of the xyz plane. she then takes 50 unit steps (each in the postive x, y, or z direction). on any given step, the probability she takes a step in the positive x direction is 0.2, the probability she takes a step in the positive y direction is 0.5, and the probability she take a step in the positive z direction is 0.3. what is the probability that she ends up on the point (22, 8, 20) or the point (50, 0, 0)?
The probability that Regan ends up on either (22, 8, 20) or (50, 0, 0) is approximately 6.25 * 10^(-16).
To find the probability that Regan ends up at the point (22, 8, 20) or the point (50, 0, 0), we need to consider the individual probabilities of each step and calculate the overall probability.
Let's start by finding the probability of Regan ending up at (22, 8, 20):
The x-coordinate of (22, 8, 20) is 22. To reach this point, Regan needs to take 22 steps in the positive x direction. The probability of taking a step in the positive x direction is 0.2.
Therefore, the probability of Regan reaching x = 22 is (0.2)^22.
Similarly, the y-coordinate of (22, 8, 20) is 8. To reach this point, Regan needs to take 8 steps in the positive y direction. The probability of taking a step in the positive y direction is 0.5. Therefore, the probability of Regan reaching y = 8 is (0.5)^8.
The z-coordinate of (22, 8, 20) is 20. To reach this point, Regan needs to take 20 steps in the positive z direction. The probability of taking a step in the positive z direction is 0.3.
Therefore, the probability of Regan reaching z = 20 is (0.3)^20.
To find the overall probability of Regan ending up at (22, 8, 20), we multiply these probabilities together:
(0.2)^22 * (0.5)^8 * (0.3)^20 = 6.25 * 10^(-16) (approximately)
Now, let's find the probability of Regan ending up at (50, 0, 0):
The x-coordinate of (50, 0, 0) is 50. To reach this point, Regan needs to take 50 steps in the positive x direction. The probability of taking a step in the positive x direction is 0.2. Therefore, the probability of Regan reaching x = 50 is (0.2)^50.
To find the overall probability of Regan ending up at (50, 0, 0), we multiply this probability:
(0.2)^50 = 8.88 * 10^(-39) (approximately)
To get the total probability of ending up at either (22, 8, 20) or (50, 0, 0), we add the individual probabilities:
6.25 * 10^(-16) + 8.88 * 10^(-39) = 6.25 * 10^(-16) (approximately)
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The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular
Answer:
angle
Step-by-step explanation:
A N G L E
A N S W E R
The diffusion equation can be written as R2=4Dt where R is the average displacement, D is the diffusion constant, and t is the time. What can you say about the relationship between average displacement squared (R2) and time (t)? (Is it linear, exponential, etc.?)
Question 10
For the analysis, we will include a trendline on our R2 vs. t graph. The trendline equation has the form y=mx+b. Which variable from the diffusion equation corresponds to y in the trendline equation? Which variable from the diffusion equation corresponds to x in the trendline equaton?
Question 11
Given your answer to question 10, how could you solve for the diffusion constant in terms of the slope and a constant?
Question 12
Suppose your trendline equation is y=1.24x+5.63 Solve for the diffusion constant.
The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:
D = 1.24/4 = 0.31
What is a Diffusiοn?Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.
This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.
Answer tο Questiοn 9:
The relatiοnship between average displacement squared (R²) and time (t) is linear.
Answer tο Questiοn 10:
The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.
Answer tο Questiοn 11:
We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.
The diffusiοn equatiοn: R2 = 4Dt
The trendline equatiοn: y = mx + b
Substituting the cοrrespοnding variables, we get:
R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant
Sο, we have:
R2 = 4Dt
y = mx + b
Equating the twο equatiοns, we get:
y = 4Dx + 0 (since b = 0)
Cοmparing this with the trendline equatiοn y = mx + b, we can see that:
m = 4D
Therefοre, we can sοlve fοr 'D' as:
D = m/4
Answer tο Questiοn 12:
Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.
Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:
D = 1.24/4 = 0.31
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You can buy 6 cans for green beans at the Sendiks for $3.80. You can buy 12 of the same cans of beans at
Sam's Club for $6.90. Which place is the better buy? Show the work to prove your answer.
Answer:
Sendiks.
Step-by-step explanation:
Sendiks- 6 ÷ 3.80= $1.58 per can
Sam's Club- 12÷6.90= $1.74 per can
find two real numbers that have a sum of 14 and a product of 38
To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.
From the problem statement, we have the following information:
Equation 1: x + y = 14 (sum of the two numbers is 14)
Equation 2: xy = 38 (product of the two numbers is 38)
To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:
From Equation 1, we can express y in terms of x by subtracting x from both sides:
y = 14 - x
Now we substitute this value of y into Equation 2:
x(14 - x) = 38
Expanding the equation, we have:
14x - x^2 = 38
Rearranging the equation to bring it to quadratic form:
x^2 - 14x + 38 = 0
Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
For our quadratic equation, the coefficients are:
a = 1, b = -14, c = 38
Substituting these values into the quadratic formula, we have:
x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))
x = (14 ± √(196 - 152)) / 2
x = (14 ± √44) / 2
x = (14 ± 2√11) / 2
Simplifying further, we have:
x = 7 ± √11
So we have two possible values for x: 7 + √11 and 7 - √11.
To find the corresponding values of y, we can substitute these values of x back into Equation 1:
For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11
For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11
Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).
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if the population of san diego grows by 3.5% per year how long will it take the population to double?
It will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year
How to calculate long will it take the population to doubleTo find out how long it will take for the population to double, we can use the rule of 70. The rule of 70 states that to find the approximate number of years it takes for a quantity to double, divide 70 by the annual growth rate as a percentage.
In this case, the annual growth rate is 3.5%, so we can calculate the doubling time as follows:
70 / 3.5 = 20
Therefore, it will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year.
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TRUE or FALSE: Squaring a number and taking the square root are opposites (they undo each other).
Answer:
True
Step-by-step explanation:
Take the square of 3, for example. The answer is 9. If you find its square root, the square root is 3, showing it is true.
Answer: True.
Step-by-step explanation: One thing to be careful of though is when solving equations. When you square values and square root them later, you are opening the door for extraneous solutions. But yes, Squaring and square rooting a value will undo the process and result in the original number.
I need help please! This is urgent!
Answer:
first 35 out of 100 then second person 34 out of 99
Step-by-step explanation:
n a given year, there are 10 million unemployed workers and 120 million employed workers in an economy.
In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.
The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.
Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.
Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.
By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.
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which number line shows -4 , 1,1 and 2 correctly plotted
Answer:
C
Step-by-step explanation:
The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.
the answer is c :) lol it's the correct one I think
help me baaaaaaaaaaaaaaaalls
Answer:
The correct scale faction the first pentagon dilated by to create the second pentagon is 1.25.
Step-by-step explanation:
Since the second pentagon is a dilation of the first pentagon, we can conclude these pentagons are similar, meaning the shape retained all of its previous angles, and all the corresponding sides are dilated by a common scale factor. Since we know the values of a pair of corresponding sides, we can use those to find the scale factor of dilation.
The corresponding side of the original pentagon is 4 units, and the corresponding side of the dilated pentagon is 5 units. Since the first pentagon dilated to become the second, in order to solve the scale factor the pentagon dilated by, we'd have to divide the side given on the second pentagon by the corresponding side of the first, which will be 5 ÷ 4 = 1.25. Therefore, that will be the scale factor the pentagon dilated by.
Have a great day! Feel free to let me know if you have any more questions :)
PLEASE HELP ME PLS PLS pLLS!!!
Answer:
the value of x is (5,1) ......
Rectangle ABCD has AB = 4 and BC= 8. Construct arc AE centered at B with E on side BC and construct arc CF centered at E with F along side AD. What is the area of AFCE, the region shaded in blue?
in blue?
Answer: 16
Step-by-step explanation:
Note that if you move the shaded area in square \(FABE\) to square \(DFEC\), the shaded area is exactly half that of the entire rectangle.
The area of the entire rectangle is \(4(8)=32\), so the area of the shaded region is 16.
The diameter of a circle is ____
the length of its radius.
Answer:
The diameter of a circle is twice the length of its radius.
Step-by-step explanation:
Or you can say double
A sales person makes $200 each week plus additional $24 per sale. The sales person wants their weekly paycheck to be at least $500
After 4 years, $20,000 deposited in a savings account with simple interest had earned $800 in interest. What was the interest rate?
The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.
We can use the formula for simple interest to solve the problem:
Simple interest = (Principal * Rate * Time) / 100
where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.
We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:
$800 = (20,000 * Rate * 4) / 100
Multiplying both sides by 100 and dividing by 20,000 * 4, we get:
Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%
Therefore, the interest rate for the savings account is 5%.
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what is the opposite of -89?
Answer:
89
Step-by-step explanation:
12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.
Answer:
32
Step-by-step explanation:
given the triangle is right triangle
c^2 = a^2 + b^2
40^2 = 24^2 + b^2
1600 = 576 + b^2
b^2 = 1024
b = 32
can someone tell me the area and explain
Answer:
120ft^2
Step-by-step explanation:
because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.
find the indicated probability. round your answer to 6 decimal places when necessary. you are dealt one card from a 52-card deck. find the probability that you are not dealt a 5.
Answer:
Of the 52 cards, 4 are fives.
So the probability that a 5-card hand has no fives is:
(48/52)(47/51)(46/50)(45/49)(44/48) =
.658842 = 65.8842%
On a bicycle, Shante rides for 3 hours and is 29 miles from her house. After riding for 7 hours, she is 65 miles away.
Shante rides at an average speed of 9.33 miles per hour.
We need to determine how many miles Shante rode per hour. We can set up an equation to solve this problem:
3 hours x M (miles per hour) = 29 miles
7 hours x M = 65 miles
We can then solve this equation to find out the number of miles she rode per hour:
3M = 29
M = 29/3
M = 9.67 miles per hour.
Therefore, Shante rode at an average rate of 9.67 miles per hour.
Now, we can find her average speed by dividing the total distance she has traveled by the total time she has traveled:
Therefore, Shante rides at an average speed of 9.33 miles per hour.
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