The value of x which is the missing angle of the right angle triangle is; 31°
How to find the angle of a right angle triangle?A right-angled triangle is defined as a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.
Now, this means that when one of the angles is 90 degrees, then the sum of the other two angles will be 90 degrees because the sum of angles in a triangle is 180 degrees. Thus;
If α = 61°, then;
x + α = 90
x + 61 = 90
x = 91 - 60
x = 31°
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What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.
Price controls in the Florida orange market The following graph shows the annual market for Florida oranges, which are sold in units of 90-pound boxes Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Florida Oranges 50 45 Price 20 (Dollars per box) 40 Ouantit Quantity Supplied 80 Demanded (Millions of boxes) Supply 35 (Millions of boxes) & 30 25 l 20 15 I I Demand I I I I 0 80 1 60 240 320 400 480 560 640 720 800 QUANTITY (Millions of boxes) In this market, the equilibrium price is per box, and the equilibrium quantity of oranges is on boxes 200
The equilibrium price is the price at which the quantity demanded equals the quantity supplied.
Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.
From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.
Therefore, the equilibrium price in this market is approximately $30 per box.
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What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
Help please someone please give me the correct answer
I will mark you brainliest for the correct answer!!
This is a test!!!
Answer:
Angle X and W are verticalStep-by-step explanation:
It's wrong statementWhat is the Greatest Common Factor of:
4yz and 2y^2
An outlier in a data set can significantly affect the value of the mean but not the median.a. Trueb. False
True. An outlier in a data set can significantly affect the value of the mean but not the median.
This is because the median is the middle value in a data set and is not affected by extreme values, while the mean is calculated by adding all the data values and then dividing by the total number of values, which can be significantly affected by extreme values or outliers.
To illustrate this, let's consider the data set {1, 2, 3, 4, 1000}. The median value of this data set is 3, since that is the middle value. The mean of this data set is 205, since it is calculated by adding all the values (1+2+3+4+1000) and dividing by the total number of values (5). The outlier value of 1000 has a significant effect on the mean, changing it from an average of 3.2 (1+2+3+4/4) to an average of 205 (1+2+3+4+1000/5). The median, however, remains unchanged (3). Therefore, it can be concluded that an outlier in a data set can significantly affect the value of the mean but not the median.
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What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.
Answer
-4
Step-by-step explanation:
Therefore, slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.
Blaise has just launched the website for their company that sells nutritional products online. Suppose X = the number of different pages that a customer hits during a visit to the website.
a. Assuming that there are n different pages in total on her website, what are the possible values that this random variable may take on?
b. Is the random variable discrete or continuous?
2. Let Y = the total time (in minutes) that a customer spends during a visit to the website.
a. What are the possible values of this random variable?
b. Is the random variable discrete or continuous?
a. The possible values of the random variable X are integers from 1 to n, where n is the total number of different pages on the website.
b. The random variable X is discrete.
b. The possible values of the random variable Y are all non-negative real numbers, that is, Y ≥ 0.
b. The random variable Y is continuous.
a. a. Since a customer can only hit one page at a time, the number of pages they hit in a single visit can only be an integer from 1 to n, where n is the total number of pages on the website.
Therefore, the possible values of the random variable X are X = {1, 2, 3, ..., n}.b. A random variable is discrete if it can only take on a countable number of values, which is true for X. Therefore, the random variable X is discrete.
b. The total time a customer spends on the website can be any non-negative real number. Therefore, the possible values of the random variable Y are Y ≥ 0. Since Y can take on any value within a range, it is a continuous random variable.
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Determine whether the pair of lines appear to be parallel or perpendicular.
1. The lines are perpendicular because they are always the same distance apart and never intersect.
2. The lines are parallel because they are always the same distance apart and never intersect.
3. The lines are parallel because they intersect at a right angle.
4. The lines are perpendicular because they intersect at a right angle.
Answer:
4
Step-by-step explanation:
The lines are perpendicular because they intersect at a right angle.
Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
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Whatis the domain of the function?
Answer:
x > 0
Step-by-step explanation:
The domain of a function is all of the "x" values which the function assumes. According to this graph, as you approach the right, it seems like the function keeps going until infinity. As you approach the left, the function seems to be unable to have "x" values equal and less than 0. In other words, the line of the function starts at an "x" value close to 0. Therefore, "x" can be any value above 0.
if akayla painted 1/3 of a wall in 20 minutes how long will it take her to paint 4 walls
Answer:
240 minute or 4 hours
Step-by-step explanation:
We can use a ratio to solve
1/3 wall 4 walls
------------- = ----------------
20 minutes x minutes
Using cross products
1/3 x = 20 *4
1/3 x = 80
Multiple each side by 3
1/3 x* 3 = 80*3
x = 240 minutes
Divide each side by 60 to change to hours
x = 240/60
x = 4 hours
I NEED HELP ASAP ITS MY LAST MISSING ASSIGNMENT THAT I HAVE FOR ALGEBRA !!
Answer:
Step-by-step explanation:
For the slope of a line formula to be used,
Slope (m) of a line = \(\frac{\triangle y}{\triangle x}\)
1). \(-\frac{3}{4}=\frac{\triangle y}{4}\)
Δy = -3
2). \(\frac{2}{3}=\frac{\triangle y}{6}\)
Δy = \(\frac{2\times 6}{3}\)
Δy = 4
3). \(-\frac{3}{2}=\frac{\triangle y}{8}\)
Δy = \(-\frac{3}{2}\times 8\)
Δy = -12
4). \(\frac{3}{4}=\frac{\triangle y}{4}\)
Δy = 3
Boden's account has a principal of $400 and a simple interest rate of 4.4%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4 years.
How to calculate simple interest?Mathematically, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P represents the principal or starting amount.R represents the interest rate.A represents the future value.T represents the time measured in years.Substituting the given parameters into the simple interest formula, we have;
S.I = 400 × 4.4/100 × 4
S.I = 400 × 0.044 × 4
S.I = $70.4.
Next, we would calculate the future value as follows;
S.I = A - P
Future value, A = S.I + P
Future value, A = $70.4 + $400
Future value, A = $470.4.
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PLEASE HELPPPPP!!!!!!!!!!!!!!! SHOW WORK
Answer:
17. A. 180 in²18. B. 234 in²Step-by-step explanation:
#17
Total surface area is:
A = 8(3*2 + 6*2) + 2(3*6) = 180 in²Correct option is A
#18
Total surface area is:
A = 2(9*9) + 4(2*9) = 234 in²Correct option is B
What is the solution of the equation 2x y 4 and 3x 2y =- 1?
The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2
We have, the sets of equations as:
2x+y=4 and 3x-2y=-1?
As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)
As here to solve the value of x and y we will first equalise the co-efficient of x.
Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3
So, for equalising, we will first multiply the first equation by 3 and the second by 2,
Thus, we will get it as:
6x+3y=12 ----(iii)
6x-4y=-2----(iv)
Now subtracting (iv) from (iii)
We will get,
7y = 14
=>y=2
Putting the value of y in (i),
2x=4-y = 4-2 =2
=>x = (2/2)=1
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The complete question may be like:
What is the solution of the equations 2x+y=4 and 3x-2y=-1?
v∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
if vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B is at
Answer:
see explanation
Step-by-step explanation:
A translation of 6 units up means adding 6 to the y- coordinate
A translation of 3 units left means subtracting 3 from the x- coordinate
The translation rule is (x, y ) → (x - 3, y + 6 ) , then
A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )
B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )
What is the difference between an atom and an ion?
A. The number of electrons
B. The atomic mass
C. The number of neutrons
Atoms are neutral particles. Because they have an equal number of protons and electrons.
Ions are electrically charged particles that can be created by either taking electrons away from neutral atoms to form positive ions or adding electrons to neutral atoms to produce negative ions.
The quantity of protons remains constant during the formation of an ion.
In a neutral atom, there are exactly as many electrons as protons. The total number of protons and neutrons in the atom's nucleus is equal to the mass number (M) of the atom. The difference between the atomic number and the mass number of the atom (M) is equal to the number of neutrons.
The amount of an element's atomic mass expressed in units of atomic mass. It is roughly equivalent to the mass number—the sum of the protons and neutrons in an atom—or to the average number that takes into account the relative abundances of various isotopes.
The difference between the atomic number and the mass number of the atom (M) is equal to the amount of neutrons (Z).
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.
Help help help plz plz hi hi
Answer:
Angle b=41.
Step-by-step explanation:
(2x+8) + (2x+8)=180...4x+16=180... subtract 16 from 180...4x=164 divide by 4 you get 41.
Answer:
The Real Answer is 82 721 x 912 Because of its high rotation
Step-by-step explanation:
Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
he have paid back at the end of the loan period?
9514 1404 393
Answer:
$2038.85
Step-by-step explanation:
The value of the loan at that point is given by ...
A = P(1 +rt) . . . . . Principal P, rate r, time t (years)
A = $1850(1 + 0.1225·(10/12)) = $2038.85
Ricardo will have paid back $2038.85 at the end of the loan period.
_____
Additional comment
We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.
The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.
I need help checking over this
Answer:
3
Step-by-step explanation:
2xy⁴ + 2x²y - 3y² + 10x³
In descending order
2xy⁴ + 10x³ + 2x²y - 3y²
Now, In this polynomial the second term is 10x³ and it's degree is 3
Thus, The answer is 3
-TheUnknownScientist
7 1/2 divided by 3/4 equals?
Answer:
The answer is 9 3/5
I hope this helps :)
What is 3.142 rounded to the nearest hundredth?
Answer:
3.140
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
-----
Tina's dog bed cost $10.00 to
make. If Tina's gross profit margin
from selling the dog bed is 50%,
what was the sale price of the
dog bed?
$[?]
Round to the nearest whole number.
Enter
Answer:
The answer is 15
Step-by-step explanation:
Based on the given conditions, formulate:: 10×(50%+1)
Calculate the sum or difference: 10×1.5
Calculate the product or quotient: 15
Hope this helps!
What is the equation of line l
Answer:
Step-by-step explanation:
B
please help ! and box answers
(a) What will be the length of the wire? in (b) What will be the diameter of the wire? men
Among fatal plane crashes that occurred during the past 70 years, 503 were due to pilot error, 90 were due to other human error, 326 were due to weather, 382 were due to mechanical problems, and 643 were due to sabotage.What is the most serious threat to aviation safety, and can anything be done about it?
A. Sabotage is the most serious threat to aviation safety. Airport security could be increased.
B. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered.
C. Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. D. Pilot error isPilot error is the most serious threat to aviation safety. Pilots could be better trained.
Sabotage is the most serious threat to aviation safety. Airport security could be increased.
The relative normal probability plot of aeroplane crashes is derived by using its concept:
Error of the pilot: 503/1944 = 0.258.
90/1944 erroneous by humans: 0.046.
326/1944 = 0.167 for weather.
issues with the mechanics: 382/1944 = 0.196.
643/1944 = 0.330 sabotage.
Sabotage provide the chief concern as a result of the higher relative frequency; therefore, airport security could be increased.
Define Relative Frequency.
The number of desired outcomes divided by the total number of outcomes yields a relative frequency.
The total number of accidents in this problem is provided by:
503+90+326+382+643 = 1944
Following are the relative frequencies of each cause:
Error of the pilot: 503/1944 = 0.258.
90/1944 erroneous by humans: 0.046.
326/1944 = 0.167 for weather.
issues with the mechanics: 382/1944 = 0.196.
643/1944 = 0.330 sabotage.
Due to Sabotage provide the greatest concern as a result of the increased relative frequency; therefore, airport security should be increased.
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Suppose two quantities, A and B, have different dimensions. Determine which of the following arithmetic operations could be physically meaningful.
a. B-A
b. A-B
c. A+B
d. AB
e. A/B
Answer:
d. AB
e. A/B
Step-by-step explanation:
From the concept of homogeneity of dimension. The principle is that if two quantities occurs in the same direction, addition and subtraction of those two variable tends to occur but if two quantities occur in different direction, then we can only have either the division and multiplication of those quantities.
From the given information;
Suppose two quantities, A and B, have different dimensions.
The arithmetic operations that could be physically meaningful are :
d. AB
e. A/B
(xy^2+x)dx + ( yx^2+y )dy =0
Answer:
(y^2+1)(x^2+1)=k
Step-by-step explanation:
It looks like it is possibly separatable.
Let's try.
Factor the x out on first term and factor the y out on second term:
x(y^2+1)dx+y(x^2+1)dy=0
Subtracting y(x^2+1)dy on both sides:
x(y^2+1)dx=-y(x^2+1)dy
Divide both sides by (y^2+1)(x^2+1):
x/(x^+2+1)dx=-y/(y^2+1)dy
Integrate both sides..
Use substitution u=x^2+1 and v=y^2+1...so du= 2x dx and dv=2y dy.
.5du/u=-.5dv/v
.5ln|u|=-.5ln|v|+c
Multiply both sides by 2:
ln|u|=-ln|v|+c
Plug in our substitutions :
ln|x^2+1|=-ln|y^2+1|+c
Absolute values unnecessary since insides are positive always.... also -ln(y^2+1)=ln(1/(y^2+1))
e^ on both sides:
x^2+1=k(1/y^2+1)
(y^2+1)(x^2+1)=k
1) What is measured by the denominator of the z-score test statistic?
a. the average distance between M and µ that would be expected if H0 was true
b. the actual distance between M and µ
c. the position of the sample mean relative to the critical region
d. whether or not there is a significant difference between M and µ
The correct answer is a. the average distance between M and µ that would be expected if H0 was true.
The denominator of the z-score test statistic measures the average distance between the sample mean (M) and the population mean (µ) that would be expected if the null hypothesis (H0) was true.
Option a. "the average distance between M and µ that would be expected if H0 was true" is the correct description of what is measured by the denominator of the z-score test statistic. It represents the standard error, which is a measure of the variability or dispersion of the sample mean around the population mean under the assumption of the null hypothesis being true.
Option b. "the actual distance between M and µ" is not accurate because the actual distance between M and µ is not directly measured by the denominator of the z-score test statistic.
Option c. "the position of the sample mean relative to the critical region" is not accurate because the position of the sample mean relative to the critical region is determined by the numerator of the z-score test statistic, which represents the difference between the sample mean and the hypothesized population mean.
Option d. "whether or not there is a significant difference between M and µ" is not accurate because the determination of a significant difference is based on comparing the calculated test statistic (z-score) to critical values, which involve both the numerator and the denominator of the z-score test statistic.
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