Answer:
11 3/4
31 5/8
Step-by-step explanation:
1. 54 1/2 - 42 3/4
= 109/2 -171/4
= 218-171/4
= 47/4
= 11 3/4
2. 45 3/8 - 11 3/4
= 363/8 -55/4
= 363-110/8
= 253/8
= 31 5/8
A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map?
Answer:
7.5 cm
Step-by-step explanation:
40:1
× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm
sorry if its incorrect
Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I
Answer:
I'd say the second one. the others are all showing a linear relatiknship
Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same
pace, how long will it take her to write a 400-page book?
Which proportion could be used to solve this problem?
A team manager buys a team jacket and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $10.70. The team manager spends a total of $293 for the team jackets and team cups. Enter an equation that models the situation with u, the cost of one team jacket.
Answer:
293/10=u
thats the equations
A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?
Answer:
No
Step-by-step explanation:
Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.
Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.
Hope it helps,
Please mark me as the brainliest
Thank you
A particle moves along a horizontal line so that its position at time t, t ≥ 0, is given by
s(t) = 40 + te^−t/20.
Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Answer:
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
Step-by-step explanation:
Given - A particle moves along a horizontal line so that its position at time t,
t ≥ 0, is given by s(t) = 40 + te^−t/20.
To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Proof -
Velocity, v(t) = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]
Now,
[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] = [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]
= 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]
= [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
Now,
For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]
Now,
[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]
= [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]
Now,
Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get
[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]
⇒t = 40
Now,
Check that the point is minimum or maximum
Calculate [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]
Now,
[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]
= [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]
⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex] > 0
∴ we get
t = 40 is point of minimum
So,
The minimum velocity be
v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]
= [tex]-2e^{-2 } + e^{-2 }[/tex]
= [tex]-e^{-2 }[/tex]
⇒v(40) = [tex]-e^{-2 }[/tex] units
∴ we get
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
3-gallon container of disinfectant costs $52.80. What is the price per cup?
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to prevent terrorism. Suppose a particular surveillance system has a 96% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 200 million, and one of these 200 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist
Answer:
0.9976 = 99.76% probability that he/she actually is a future terrorist
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Person identified as a future terrorist
Event B: Person is actually a future terrorist.
Probability that a person is identified as a future terrorist:
96% of [tex]\frac{1000}{200000000}[/tex]
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
So
[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]
Probability of being identified and being a future terrorist:
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]
What is the probability that he/she actually is a future terrorist
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]
0.9976 = 99.76% probability that he/she actually is a future terrorist
Find cos (P)
Q
74
70
P
24
R
A.
37
12
В.
35
37
C.
12
Answer:
cos P = 71.09
Step-by-step explanation:
cos = [tex]\frac{adajcent}{hypotenuse}[/tex]
cos P = [tex]\frac{24}{74}[/tex]
cos P = 0.324
cos-1 of 0.324 is 71.09
cos P = 71.09
factor this quadratic polynomial -8x^2+8
Answer:
This is my answer
Step-by-step explanation:
-8×12+8
-96+8
-88____so this is the answer I solved it properly
Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation
Answer:
the congruent the congruent???
Step-by-step explanation:a dilation a dilation with two factors???
The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.
Option A is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
We have,
Dilation:
It changes the size of the figure so, the transformed figure is not congruent with the original figure.
Scale factor = 1 will not change the size of the figure.
Scale factor = 2 will change the size of the figure.
Reflection:
It does not change the size or the shape.
Rotation:
It does not change the size or the shape.
Thus,
The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.
Learn more about circle here:
https://brainly.com/question/11833983
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If you partition ¼ into 6 equal segments, how long is each segment?
Answer:
1/24
Step-by-step explanation
I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.
I need help and I don’t know how to check it
Answer:
y=2x+3
Step-by-step explanation:
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+0
Step-by-step explanation:
Factorise
7lm - 21lmn
Answer:
7lm - 21lmn
taking common 7lm
7lm(1-3n)
The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.
The students in her homeroom
B.
Players whose names are randomly selected from a hat
C.
The players in the starting lineup
D.
All players over 5 feet tall
E.
Every 5th player selected from an alphabetical roster of the team
The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).
What is Representative Sample?A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.
For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.
Learn more about representative sample here: https://brainly.com/question/30490266
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i need help with this pls.
Answer:
The answer is D
Step-by-step explanation:
Plug all of the numbers in and they all work with the problem.
Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.
Answer: the ray is K to A
Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point
(I would like to see the answer choices please)
anime recommendations
Answer:
what genre babe♀️
Answer:
It depends on a lot what kind you like and if u have watched a lot
the promised Neverland
Black Clover
Aot
HxH
Monster
Code grass
The classroom of the elite
Psycho pass season 1 only
COMEDY
The disastrous life of saiki k
Kaguya sama love is war
please help me im almost done!
Answer:
if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true
I put the answers in bold
hope this helps!
Step-by-step explanation:
Help ASAP pls I will give 10 points
Answer:
it is thr 3rd answer hope it help you
Need it now. I'll give you another 100 when done if all i right.
This it the test please do as fast as posible and show work. thank you and sorry
What is a angle called when two angles share a common side and a common vertex
Answer:
Adjacent Angles
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.
HELP ASAP!! In a right triangle, the longer leg is twice the shorter leg and the hypotenuse is 8 more than the shorter leg. Find the length of the shorter leg.
Answer:
We can't find an exact number, but the answer is x.
a square with 4 congruent isocelies triangles if the length of x is 12 what's the length of the feet
Answer:
ya yeet 69 420 peepeepoopoo check
Step-by-step explanation:
I HAVE 69 CHILDREN WJANAJSNJSSJJSJSJSJSJDJDJDJDJDJDJDJDJDHDJDBDNDJDJJDJDJDJDYFUWOQOZJCBFBDJXKWJWIFOIGCHBSJQLSOCOCFHHWJWKWROTOGU HSNQJXshsnanqmqmqn1j1n1nNNNNNNRRRRRRRRRGGGRRRRRRRNNNNEEEEEEEEQQQQQQWWWWWAAAAARRRRRRRRRRRRNNNNNIIIIIIIGGGGGGGGGEEEEERRRRRRRRRRRnbjjjjjjWhat slope is being shown in the equation:
y-9=-3(x+6)
Answer this correctly I’ll give brainalist + 10 points
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2
The piping connection to the vacuum pump should be
Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system
Step-by-step explanation:
Answer i am smart
Step-by-step explanation:
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245