Answer:
B
Step-by-step explanation:
\( \frac{1 \times 2}{4 \times 2} + \frac{1 \times 2}{4 \times 2} + \frac{3}{8} = \frac{2}{8} + \frac{2}{8} + \frac{3}{8} = \frac{7}{8} \)
pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
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Find the value of x. Geometry
╭⋟───────────────
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
Given,
< BAG = 2x°
< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]
< CAD = x°
____________________
Value of x = ?
____________________
From the figure we can see that,
< BAG + < BAC + < CAD = 180° (supplementary angles)
____________________
So to solve,
\( < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30\)
⏩ The value of x is \(\boxed{30}\)
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\(RainbowSalt2^{2}2^{2}\) ღ
───────────────⋞╯
a complete graph is one in which there is an edge connecting every vertex to every other vertex. for what values of n does complete graph with n vertices have an euler circuit? a hamiltonian circuit
A complete graph is one in which there is an edge connecting every vertex to every other vertex. In order to determine for what values of n a complete graph with n vertices has an Euler circuit and a Hamiltonian circuit, let's discuss the definitions and requirements of each type of circuit.
1. Euler Circuit: An Euler circuit is a path that traverses each edge of a graph exactly once and returns to its starting vertex. For a graph to have an Euler circuit, all vertices must have an even degree (number of edges connected to the vertex).
2. Hamiltonian Circuit: A Hamiltonian circuit is a path that visits every vertex in a graph exactly once and returns to its starting vertex. A complete graph always has a Hamiltonian circuit, regardless of the number of vertices.
Now, let's determine for what values of n a complete graph has an Euler circuit:
In a complete graph with n vertices, each vertex is connected to every other vertex, which means the degree of each vertex is (n-1). For a complete graph to have an Euler circuit, all vertices must have an even degree. This implies that (n-1) must be even, so n must be odd.
So, for a complete graph with n vertices to have an Euler circuit, n must be an odd number.
In summary:
- A complete graph with n vertices always has a Hamiltonian circuit.
- A complete graph with n vertices has an Euler circuit if n is an odd number.
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HEEEELLLLPPPPPPPPP !!!!
Answer:
Step-by-step explanation:
Common difference = 5
a₁ = 24
a₆ = a₁ + (6-1)5 = 49
A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. event a is defined as drawing a black tile from the bag on the first draw, and event b is defined as drawing a white tile on the second draw. if two tiles are drawn from the bag, one after the other without replacement, what is p(a and b) expressed in simplest form?
P(A and B) expressed in the simplest form is (B) 2/21.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.To express P(A and B) in the simplest form:
P(A and B) means that you need to multiply the two probabilities together since both A and B need to happen. The probability of drawing a black tile on the first draw is 4/15 since there are 15 total tiles and 4 of those are black. On the second draw, the bag is already missing a tile, and there are therefore 14 tiles remaining. For the second one, the probability is 5/14, since there are 14 total tiles and 5 of them are white. Multiplying these two together, we get 4/15 × 5/14 = 20 / 210 = 2/21.Therefore, P(A and B) expressed in the simplest form is (B) 2/21.
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The complete question is given below:
A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. Event A is defined as drawing a black tile from the bag on the first draw, and event B is defined as drawing a white tile on the second draw.
If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in the simplest form?
A. 4/45
B. 2/21
C. 4/15
D. 5/14
The distance from the Earth to the Moon is 384 000 km. Work out the time it would take a car travelling at 100 km/h to travel 384 000 km. Give your answer in days
(Show your working out)
Answer:
3840
Step-by-step explanation:
thbyrtjnbyj
Help help help someone please help me
The answer to this question is B
Step-by-step explanation:
What is this? im so confused. PLEASE HELP!
Answer:
Its probably X times 4
Step-by-step explanation:
The reason might be that X represents the number of episodes in the show. If we multiply it by 4 we'll probably get the expression so it must be : 4xx
10 times the sum of half a number x and 4 is 6
Answer:
-10.4
Step-by-step explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x
step by step
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now solve for x
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Simplify to create an equivalent expression
-3z-(-z-2)
-3z-(-z-2) can be simplified as follows:
-3z + z + 2
Combining like terms, we get:
-2z + 2
Therefore, the equivalent expression is -2z + 2.
30 points for answer!!!!!
Answer: it’s the third answer or C (K’ (0,3) L’ (0,-2) M’ (-1,-2) N’ (-3,-2))
Step-by-step explanation:
A circular park is 1/3 mile long. Mr. M walks on this track, completing each lap in
1/12 of an hour. What is Mr. M's walking speed? Include the unit of measure.
Answer:
1.7 m/s
Step-by-step explanation:
1/3 mile = 536 m
1/12 hour = 5 minutes = 300 second
volecity = s/t = 536 / 300 = 1.7 m/s
9514 1404 393
Answer:
4 miles per hour
Step-by-step explanation:
Speed is the ratio of distance to time:
speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4
Mr. M's walking speed is 4 miles per hour.
evaluate the expression (3 • 2) to the second power
Answer:
6
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
3x2 =6
Then 6 to the 2and power and its 36
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
A retailer purchases some merchandise with an invoice price of $19,500 and terms of sale of 5/15, n/45. What is the net amount due (in $) on the order if a partial payment of $10,800 is made on the 15th day? (Round your answer to the nearest cent.)
The net amount due on the order after partial payment done is $8700
Given,
A retailer purchases some merchandise;
The invoice price for the merchandise = $19,500
Terms of sale for the merchandise = 5/15, n/45
On 15th day partial payment done = $10,800
We have to find the net amount due on the order after partial payment is done.
Here,
Net amount due = Invoice price - Partial payment
Net amount due = 19,500 - 10,800
Net amount due = 8700
That is,
The net amount due on the order after partial payment done is $8700
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A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
Radhikabought a house for Rs. 5, 20,000, and she spent Rs. 80,000 on its repair. She sold it for Rs. 6, 40,000. Find her profit or loss percent
Radhika bought a house for Rs. 5,20,000 and spent Rs. 80,000 on repairs. She sold the house for Rs. 6,40,000.
To calculate her profit or loss percentage, we need to determine the overall gain or loss and express it as a percentage of the cost price.
To find the profit or loss percentage, we first need to calculate the total cost incurred by Radhika. This includes the purchase price of the house and the amount spent on repairs:
Total cost = Purchase price + Repair cost
Total cost = Rs. 5,20,000 + Rs. 80,000
Total cost = Rs. 6,00,000
Now, we can calculate the overall gain or loss by subtracting the total cost from the selling price:
Overall gain or loss = Selling price - Total cost
Overall gain or loss = Rs. 6,40,000 - Rs. 6,00,000
Overall gain or loss = Rs. 40,000
To find the profit or loss percentage, we divide the overall gain or loss by the total cost and multiply by 100:
Profit or loss percentage = (Overall gain or loss / Total cost) × 100
Profit or loss percentage = (Rs. 40,000 / Rs. 6,00,000) × 100
Profit or loss percentage ≈ 6.67%
Therefore, Radhika made a profit of approximately 6.67% on the sale of the house.
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Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times
Answer:112
Step-by-step explanation: 1/4 divided by 28/1 = 1/112
Answer:
112 and very light
Step-by-step explanation:
A. B. C. D. 1 2 Steps For Sally b = 11 For Sally m = 2(11) + 4 For Mike b = 22 4 For Mike m = 2(22+4) In which step did Mike make an error? 3 Mike's Work Step 1 Step 2 Step 3 Step 4
In Step 3, Mike made an error. He incorrectly calculated his value for m by multiplying 2 by 22 instead of 2 by (22 + 4). The correct equation should have been m = 2(22 + 4).
Which step did Mike make an error?Sally's formula for calculating b is correct:
b = 11
Sally's formula for calculating m is also correct:
m = 2(11) + 4 = 26
Mike's formula for calculating b is correct:
b = 22
However, Mike's formula for calculating m is incorrect. Instead of using the formula m = 2(b + 4), he used the formula m = 2(22 + 4), which gives him a value of 50 instead of the correct value of 50.
Therefore, Mike made a mistake in Step 3. He computed his answer for m erroneously by multiplying 2 by 22 rather than 2 by (22 + 4). The proper formula would have been m = 2(22 + 4).
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short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.
Answer:
y = 2x^2 + 8x - 24
Step-by-step explanation:
This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.
(x - 1)(x + 5) = x² + 4x – 2
Step by step if possible please
Answer:
solve or simplify? if solve, what is x
Step-by-step explanation:
n the metric system, each millimeter increment is equal to _____.A. 1/1000 of a centimeterB. 1/100 of a centimeterC. 1/10 of a centimeterD. 10 centimeters
The answer is C. 1/10 of a centimeter.
Find the different between compound interest payable anually and half anually for a amount Rs14000 at the rate of 12•\•per annum for 2 yrs.
Answer:
$113.08
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
14,000(1.12)^2 = 17,561.60
14,000 ( 1 + 0.12/2)^(2x2) = 17674.68
Difference : 17674.68 - 17,561.60 = $113.08
is 2.1 lower or greater than 2.061
We can see that 2.1 is greater than 2.061.
Please help me I need to finish this :)
Find the perimeter of WXYZ. Round to nearest tenth if necessary.
Answer: 23.1
Step-by-step explanation:
The coordinates of the vertices are W(-2, 4), X(3, 1), Y(4, -4), and Z(-1, -3).
Using the distance formula,
\(WX=\sqrt{(-2-3)^{2}+(4-1)^{2}}=\sqrt{34}\\\\XY=\sqrt{(3-4)^{2}+(1-(-4))^{2}}=\sqrt{26}\\\\YZ=\sqrt{(4-(-1))^{2}+(-4-(-3))^{2}}=\sqrt{26}\\\\WZ=\sqrt{(-2-(-1))^{2}+(4-(-3))^{2}}=\sqrt{50}\)
So, the perimeter is \(\sqrt{34}+\sqrt{26}+\sqrt{26}+\sqrt{50} \approx \boxed{23.1}\)
Solve the equation for x. 2 3 x −1 9 x + 5 = 20 x =
Answer:
5/2
Step-by-step explanation:
23x-19x+5=2x
23x-19x-2x=5
2x/2=5/2
x=5/2
Answer: The correct answer is 27
Step-by-step explanation: EDGE 2022
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
\(y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line\)
While playing football, John lost 4 yds, then gained 15 yds, then lost 4 yds. How many yards did he gain from the three plays?
Answe
Step-by-step explanation:
Show your work on paper, or in the larger box below. If there is a solution, enter it numerically. If there is no solution, type "None" in both boxes.
{3x−5y=6−3x−8y=−6
The solution to the system of equations is x = 2 and y = 0.
How to solve the equationTo solve the system of equations:
3x - 5y = 6 ...(1)
-3x - 8y = -6 ...(2)
We can use the method of elimination or substitution. Let's use the elimination method.
Step 1: Multiply equation (1) by 3 and equation (2) by 1 to create coefficients for x that will cancel each other out when added.
Multiply equation (1) by 3:
9x - 15y = 18 ...(3)
Multiply equation (2) by 3:
-9x - 24y = -18 ...(4)
Step 2: Add equations (3) and (4) together to eliminate the x variable.
(9x - 15y) + (-9x - 24y) = 18 + (-18)
-15y - 15y = 0
-39y = 0
Simplifying, we find that -39y equals 0.
Step 3: Solve for y.
Divide both sides of the equation by -39 to isolate y:
-39y / -39 = 0 / -39
y = 0
Step 4: Substitute the value of y back into either equation (1) or (2) to solve for x.
Let's substitute y = 0 into equation (1):
3x - 5(0) = 6
3x = 6
x = 6 / 3
x = 2
Therefore, the solution to the system of equations is x = 2 and y = 0.
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