Answer:
see explanation
Step-by-step explanation:
A rational number can be expressed in the form
\(\frac{a}{b}\) ← where a and b are integers
An example is
\(\frac{2}{3}\)
- 5 can be expressed as \(\frac{-5}{1}\) and is therefore rational
Numbers which are not rational are irrational
π and \(\sqrt{2}\) are examples of irrational numbers
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(3, 0), Q(0, 3), R(5, 5) 0 LRPQ = 67 X
To find the angles of the triangle with vertices P(3, 0), Q(0, 3), and R(5, 5), we can use the distance formula to determine the lengths of the sides and then apply the Law of Cosines to find the angles. The given information states that angle LRPQ is equal to 67 degrees.
To determine the other two angles, we can calculate the lengths of the sides PQ, QR, and RP using the distance formula. The length of PQ is √((0 - 3)² + (3 - 0)²) = √18. The length of QR is √((5 - 0)² + (5 - 3)²) = √29, and the length of RP is √((5 - 3)² + (5 - 0)²) = √13.
Next, we can use the Law of Cosines to find the angles. Let's denote angle P as α, angle Q as β, and angle R as γ. We have the following equations:
cos(α) = (18 + 13 - 29) / (2 * √18 * √13) ≈ 0.994 (rounded to three decimal places)
cos(β) = (18 + 29 - 13) / (2 * √18 * √29) ≈ 0.287 (rounded to three decimal places)
cos(γ) = (13 + 29 - 18) / (2 * √13 * √29) ≈ 0.694 (rounded to three decimal places)
To find the angles, we can take the inverse cosine of these values. Using a calculator, we get α ≈ 7 degrees, β ≈ 71 degrees, and γ ≈ 37 degrees (rounded to the nearest degree).
Therefore, the three angles of the triangle are approximately 7 degrees, 71 degrees, and 37 degrees.
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Amanda buys some back-to-school clothes. She buys three T-shirts at $9.00 each, two pairs of jeans at $20.00 each, and five pairs of socks at $3.50 each. What is the total cost of her purchases?
Answer:
the correct answer is 84.5$
Step-by-step explanation:
The way how i got this because 3*9 for the t shirts
2*20 for the jeans
and 5*3.50 for the socks
Answer:
$84.50
Step-by-step explanation:
So we know she buys 3 nine dollar shirts
$9.00 times 3 shirts is $27.00
She also buys two pairs of jeans
$20.00 times 2 is $40.00
Finally she buys 5 pairs of socks
$3.50 times 5 is 17.50
so lets add it all up
27.00
40.00
17.50
=84.50
(please help quickly!!!!) The number of meters a student swam this week are listed.
250, 500, 500, 650, 700, 700
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals about 550.
The median is the best measure of variability and equals 575.
The range is the best measure of variability and equals 450.
The IQR is the best measure of variability and equals 200.
Answer:
d
Step-by-step explanation:
took test
formal charge formula
Answer:
FC = V - N - (B/2)
Step-by-step explanation:
FC = formal charge
V = number of valence electrons
N = number of nonbonding valence electrons
B = total number of electrons shared in bonds
Ruby is visiting San Francisco. From her hotel she walks 1 block east and 4 blocks south to a coffee shop. Then she walks 2 blocks west and 2 blocks south to a museum. Where is the museum in relation to her hotel?
Answer:
6 blocks south and one block west
Step-by-step explanation:
Answer:
i don't know if i'am correct but that would be 6 blocks south and 2 west.
Step-by-step explanation:
On Saturday Tami petaled to the state park at 21 mi/hr. After lunch she rode back at 14 mi/hr. if her total riding time was 5 hours, how far was it to the park?
What is the value of \(\frac{81^4}{3^5}\)? (Express your answer in exponential form.)
Answer:\(3^1^1\\\)
Step-by-step explanation:
\(\frac{81^4}{3^5}\)
\(\frac{3^1^6}{3^5}\)
The base is same power can be add or subtract
\(3^1^6^-^5\)
\(3^1^1\)
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answer:(-8,-4)
Step-by-step explanation:
The perimeter of the rectangle below is:
A.18x + 28.
B.17x + 28.
C.42x.
D.25x + 18
Answer:
18x + 28 is the perimeter
Step-by-step explanation:
As perimeter is the som of all side
So P = 6x+8 + 3x+6 + 6x+5 + 2x+2 + 3 + x+4
= 6x+3x+6x+2x+x + 8+6+5+2+3+4
= 18x + 28
An animal shelter currently has 40 cats in it. Next month they expect the number of cats to increase by 15% over the number this month. Which of the following is the number of cats they expect next month
Answer:
46
Step-by-step explanation:
15% of 40 is 6 so you add 6 to 40
Answer:46
Step-by-step explanation:
15% of 40=?
multiply 15 by 40 and divide by 100
15 * 40 / 100 = 6
add 6 to 40
40+6=46
Therefore, the number of cats that they expect is 46.
If yu were to randomly survey 500 people each from two largest us cities would this be a random study why or why not HELP NEEDED ASAP !
Answer:
If you're timed then I would say,
Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.
I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(
Answer:
No, its nat a random sample
Step-by-step explanation:
Its not a random sample because you have already selected two populations (the two largest US cities) which may or may not be representative of the vast majority of the country.
Hope this helps:)
Show how the greatest common factor of the numbers 10 and 15 can be used to reduce the fraction 10/15.
Answer:
2/3
Step-by-step explanation:
The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.
Identify which of these methods can be used to distort a bar graph Select all that apply. A. stretching the vertical scale □ B. starting the vertical axis at a point other than the origin □ c. making the width of the bars proportional to their height
There are two methods that can be used to distort a bar graph. These are: A. stretching the vertical scale and B. starting the vertical axis at a point other than the origin. Therefore, the correct options are (A) and (B).
Distorting a bar graph means changing the way it looks so that it presents data in a way that is misleading or confusing to the viewer. To achieve this, the person creating the graph may use certain methods, including stretching the vertical scale, starting the vertical axis at a point other than the origin, and making the width of the bars proportional to their height.
Stretching the vertical scale refers to the act of increasing the distance between the values on the vertical axis. By doing this, the differences between the data values will appear larger than they actually are, and this can lead the viewer to draw incorrect conclusions.
On the other hand, starting the vertical axis at a point other than the origin means that the graph will not start at zero. This makes the differences between the data values appear more significant than they actually are, which can also mislead the viewer. In contrast, making the width of the bars proportional to their height is not a method of distorting a bar graph. Instead, this method is used to create a more accurate and representative graph, especially when the data points are close to each other. Therefore, the correct options are (A) and (B).
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Decide whether the given ordered pair is a solution of the system.
x+y=5
X-y= 3
; (4,1)
Is the given ordered pair a solution to the given system?
A. Yes, because (4,1) makes both equations true.
B. No, because (4,1) makes neither equation true.
C. No, because (4,1) only makes the equation x + y = 5 true.
D. No, because (4,1) only makes the equation x-y = 3 true.
Answer:
A. it is true for both equations
Step-by-step explanation:
x = 4 and y = 1
sub these values into the equations
4 + 1 = 5
4 - 1 = 3
Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.
(–2, –5) and (–7, –3)
(–1, 1) and (–6, –1)
(0, 0) and (2, 5)
(1, 0) and (6, 2)
(3, 0) and (8, 2)
Answer:
B, D, E
Step-by-step explanation:
If a line is parallel to another line, then the slope has to be the same. Thus we first want to find the slope of the line given, by using the slope formula: m = (y_1 - y_0)/(x_1 - x_0): (2 - 4)/(-2-3) = 2/5
We proceed to find the slope of the following answer choices:
A. (-3-(-5))/(-7-(-2)) = -2/5
B. (-1-1)/(-6-(-1)) = 2/5
C. (5 - 0)/(2-0) = 5/2
D. (2-0)/(6-1) = 2/5
E. (2-0)/(8-3) = 2/5
Thus, we have B, D, E
Answer:
B, D, E On Edge
Step-by-step explanation:
edge22
Need ASAP!
Factor the expression 16x^2+25
Answer:
(4x+5i)(4x-5i)
Step-by-step explanation:
Select the most accurate statement regarding the risk tolerance parameter. 1 The risk tolerance parameter of a highly profitable firm is likely to be smaller than the risk tolerance parameter of a less profitable firm. 2 The smaller the risk tolerance parameter, the greater the tolerance for risk. 3 The risk tolerance parameter of a large firm is likely to be smaller than the risk tolerance parameter of a small firm. 4 The risk tolerance parameter influences the relationship between a payoff and the utility of the payoff. 5 The risk tolerance parameter is a value between 0 and 1.
The most accurate statement regarding the risk tolerance parameter is:
The risk tolerance parameter influences the relationship between a payoff and the utility of the payoff.
The risk tolerance parameter is a measure of an individual's or firm's willingness to accept risk in exchange for potential reward. It influences the utility function, which maps payoffs to the utility they provide.
A higher risk tolerance parameter implies a greater willingness to accept risk, and a lower risk tolerance parameter implies a lesser willingness to accept risk. The parameter can be any positive number, not just between 0 and 1. Statements 1, 2, and 3 are incorrect.
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Which of the following fractions are equivalent to
24
18
? Select all that apply.
where are the choices? Since its a select all that apply u should send what the options are
Find the selling price of a suit if a store
paid $140 for it, and it was marked up 80%
over the cost.
Answer:
$252
Step-by-step explanation:
The store paid $140 for the suit. Let's first find the 80% of $140.
$140 x 80% = $112
So now we just need to add $112 to $140.
$140 + $112 = $252
The area of a rectangular window is 5742 cm^2. If the length of the window is 87 cm, what is its width
Answer:
Area=length × width
5742cm^2=87cm × width
5742=87width
Divide both side by by 87
width =66cm
\(\sqrt{45)\)
The required solution to the given radical expression √45 is 3√5.
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The radical expression is given in the question
√45
As per the given question, the required solution would be as:
√45 = √(3 × 3 × 5)
√45 = 3√5
Thus, the solution to the given expression is 3√5.
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PLEASE ANSWER QUICK AND BE RIGHT ITS 80 POINTS
DETERMINE THIS PERIOD
pls answer asap 7 - 3 r = r - 4 ( 2 + r)
Answer:
no real answer
Step-by-step explanation:
distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r
then we have 7-3r=-8-3r
from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.
since 7 doesn't equal -8, there is no answer.
if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers
A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a
set number of boards.
Part A
Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents
this situation.
6(x + 18) = 192
What is the value of x in Jarred's equation?
A. 11
B. 14
C. 29
D. 35
Answer:
The answer is B, 14.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: I took the test and got it correct :)
Find the distance from albertos horseshoe to Rebecca's horseshoe explain
Answer:
Wheres the picture?
Step-by-step explanation:
Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?
I really need help!! (can you show step by step guide? (
Answer:
Look below
Step-by-step explanation:
(i) Sharon is not correct because in the first bag, the proportion is of red counters to yellow counters.
In the second bag, the proportion is of red counters to all the counters in the bag. Therefore the proportions are not the same.
(ii) Let x be the total amount of counters (in each bag)...
Then the amount of red counters would be
\(\frac{1}{5} x\)
And the amount of yellow counters would be
\(\frac{4}{5} x\)
For the second bag, the amount of red counters would be
\(\frac{1}{4} x\)
And the amount of yellow counters would be
\(\frac{3}{4} x\)
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. The sample size is large enough if each expected count is Select one:
a. 5 or higher
b. 25 or higher
c. 10 or higher
d. 15 or higher
e. 20 or higher
The correct answer to the given question about chi-square distribution and sampling distribution is a. 5 or higher.
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. Generally, a sample size of 5 or higher is considered large enough for this approximation. This is because the chi-square distribution approaches a normal distribution as the degrees of freedom increase, and a sample size of 5 or more provides enough degrees of freedom for the approximation to be valid. However, if any expected count is less than 5, then the approximation may not be reliable, and alternative methods should be considered (such as Fisher's exact test or the Monte Carlo method).
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The James family bought 7 bags of cookies. Each bag had 13 cookies. They have since eaten 27 of the cookies. How many cookies do they have left?
I need help finding the x
Answer:
the answer is x=11......