The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years​

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.

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Answer:y=x+0

Step-by-step explanation:

Answer:

Step-by-step explanation:

EB = 1.25×BC

x+5 = 1.25(x+1)

x+5 = 1.25x + 1.25

3.75 = 0.25x

x = 15

Answer:

4800 1 x 24 x 25 x 8

Step-by-step explanation: 1 x 24 x 25 x 8

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.

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.

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Answer:

P = 4 / ( 4 + 3 +1 )

= 4 / 8

= 4 / 8 =  1 / 2

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The probability that it is red is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A bag with 8 marbles

4 red marbles,

3 blue marbles,

and 1 yellow marble.

So, the probability that it is red

= 4 / ( 8)

= 1/2

Hence, the probability that it is red is 1/2.

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Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

Answer:

We can't find an exact number, but the answer is x.

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.

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

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%

Answer:

it is thr 3rd answer hope it help you

Answer:

I'd say the second one. the others are all showing a linear relatiknship

Answer:

The answer is D

Step-by-step explanation:

Plug all of the numbers in and they all work with the problem.

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

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).

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.

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Answer:

ya yeet 69 420 peepeepoopoo check

Step-by-step explanation:

This it the test please do as fast as posible and show work. thank you and sorry

Answer:

13

Step-by-step explanation:

Answer:

7lm - 21lmn

taking common 7lm

7lm(1-3n)

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

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

Answer:

This is my answer

Step-by-step explanation:

-8×12+8

-96+8

-88____so this is the answer I solved it properly

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:

Answer:

A and F

Step-by-step explanation:

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

Answer:

293/10=u

thats the equations

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