an electric pole of height 25 m casts a shadow of 20 m.find the height of a tree, if it casts a shadow of 12 m under similar conditions​

Answers

Answer 1

Answer:

9.6

Step-by-step explanation:

20 divided by 25 = 0.8

Then, 0.8 times 12 = 9.6

I bet that helped! :D


Related Questions

write your answer in simplest radical form​

Answers

Answer:

n = 8√2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60°

Opposite = 4√6

Hypothenus = n =?

The value of n can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = 4√6 / n

√3/2 = 4√6 / n

Cross multiply

n × √3 = 2 × 4√6

n × √3 = 8√6

Divide both side by √3

n = 8√6 / √3

Rationalise

n = 8√6 / √3 × (√3/√3)

n = 8√(6×3) / 3

n = 8√18 / 3

Recall

√18 = √(9×2) = √9 × √2 = 3√2

Thus,

n = 8√18 / 3

n = 8 × 3√2 / 3

n = 8√2

PLS HELP!!!
Solve x^2 – 4 = 5 by graphing the related function.

A) There are two solutions: 3 and –3.


B) There are two solutions: ±1.


C) There is one solution: 1


D) There are no real number solutions.

Answers

Answer:

A

Step-by-step explanation:

Because we can rearrange the equation and get:

x²=5+4

x²=9

[tex]x = \sqrt{9} [/tex]

[tex]x = + 3 \: \: or \: \: - 3[/tex]

A) There are two solutions: 3 and -3
Plug in 3 into X, so it will be 3^2=9
9-4= 5, that makes 3 a solution.
Plug in -3 into X, so it will be -3^2=9
9-4=5, that makes -3 a solution.

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.

value of the discriminant k > 0
Options:
B^2 - 4ac= 0
B^2 - 4ac is greater than 0
B^2 - 4ac is less than 0

Answers

Answer:

Step-by-step explanation:b

No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.

One real root. The graph touches the  x -axis in one place.  →

Two real roots. The graph crosses the x -axis twice.

Help please. I need the answer

Answers

No, this is not a function. We can see if this is a function by doing the vertical line test. 5, 0 is assigned to 5, 3 and 5, 8 which means it fails the vertical line test.
Yes this is a function as every x-value has a y-value

in a school every student have two participate at least one of the activities athletes or music in a class of 50 students 30 participate in athlete and 25 students participate in music​

Answers

Answer:

In a class of 50 students, 30 participated in athletics and 25 participated in music. Drawing a Venn- diagram , calculate how many students ...

Answer:

ok

Step-by-step explanation:

t7y7y8 I am not going out for the

Please I need help please!!!!
I need the answer ASAP…!!!!!!
If you know the answer please tell me

Answers

Answer:

x=−16/3 or x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x2+10x−8=24

Step 2: Subtract 24 from both sides.

3x2+10x−8−24=24−24

3x2+10x−32=0

Step 3: Factor left side of equation.

(3x+16)(x−2)=0

Step 4: Set factors equal to 0.

3x+16=0 or x−2=0

Question 7 Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 28 - 472 - 10-2
0 11
O 27
O 56
O 59

Answers

The answer for the expression is 56

The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which table represents
this relationship?
x
y
y
x
y
*
y
* 1
0
4
4
1
4
2
8
0
O
o
2
8
2
8
4
8
4
16
من
12
3
16
5
12
8
32
N

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choose the table in which all of the y-values are 4 times the corresponding x-values.

If there is a row in a table in which y is not 4x, reject that table. For example, in the first row of the first table we have x=0, so y = 4(0) = 0, but the table has y=4. The first table can be rejected.

Answer:D got the question and got it right

Step-by-step explanation:

x y

2 8

4 16

8 32

Questions
1) Identify the missing features of this map ?

2) Write north , south , east or west to complete each sentence?

a) The rowboats are _____ of the campfire .

b) The camping trailers are _______ of the tent .

c) The cabins are ______ of the tents

d) The campfire is ______ of the camping trailers

e) The island is _____ of the cabins .

Do answer

Answers

Answer:

it is missing a scale because it should be at the bottom of the map

what is Newton's Law of Cooling?

Answers

Answer:

Newton's law of coming states that the rate at which an object cools is proportional to the differences in temperature between the object and the object's surroundings.

Answer:

It is the rate of heat loss of a body that is directly proportional to the difference in the temperatures between the body and its surroundings.                                                  Q= h* A* (T(object) -T(environment) )

please give me correct answer​

Answers

Answer:

answer of question number 1 is 2400, 2880, 3600 respectively.

answer of question number 2 is 1384 and 1680.

Step-by-step explanation:

100×24=2400

120×24=2880

150×24=3600

692×2=1384

420×4=1680

Helpppp please !! Thank you :)

Answers

Answer: Because they are corresponding angles (second option is the answer).

Answer:

second option...because they are corresponding angles..

STEP BY STEP EXPLANATION: corresponding angles are formed when two parallel lines are intersected by the transversal

the corresponding angles are 2 and 6

Identify the domain of the graph given below.

Answers

Answer:

(-∞,∞) is the domain.

2 is the range

Step-by-step explanation:

HELP PLEASE, WILL GIVE BRAINLYIST NOW

Answers

Answer:

Step-by-step explanation:

I think you got it correct. The reciprical of this function is y = x.

The answer is A you got it correct

What is the value of the expression, written in standard form?

Answers

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 - (-4) = 10^2

The answer is 2 * 10^2 or 200.

How many edges are there?
A. not enough information
B. 15
C. 7
D. 10

Answers

My answer is 15 and the other person who answered is wrong because they only counted the ones visible and not the ones that are not visible as the figure is a 3d object.

The number of edges in the given figure is 15. The correct option is B.

What is geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The shape is made up of the triangular prism and the trapezoidal prism the total number of edges in the shape will be 15.

Therefore, the number of edges in the given figure is 15. The correct option is B.

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How long will it take for money to double if it is invested at 7% compounded monthly?

Answers

Use the rule of 72 for the monthly compound:
About 10.3 years

write your answer in simplest radical form​

Answers

Answer:

q = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{2\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2q = 2[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

q = [tex]\sqrt{2}[/tex]

An analyst has developed the following probability distribution for the rate of return for a common stock.
Scenario Probability Rate of Return
10 0.34 -19%
20 0.48 8%
30 0.18 26%
a. Calculate the expected rate of return. Round your answer to 2 decimal places.
b. Calculate the variance and the standard deviation of this probability distribution. Use the percentage values for your calculations (for example 10% not 0.10). Round intermediate calculations to 4 decimal places.

Answers

Answer:

a) 2.06

b) variance = 270.90 , std = 275.14

Step-by-step explanation:

a) Determine Expected rate of return

attached below is the calculated table for the solution provided

∴ Expected rate of return = ∑ Xp(x) = -6.46 + 3.84 + 4.68 = 2.06

b) Determine the variance and standard deviation

Variance ( Vx ) = E(x)^2 - [ Expected rate of return ]^2

                         = 275.14 - ( 2.06 )^2 ≈ 270.90

standard deviation = √ variance = √270.90 = 16.459

note : E(x)^2 = ∑ x^2 p(x) = 275.14

You can run at a speed of 4 mph and swim at a speed of 2 mph and are located on the shore, 6 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island

Answers

9514 1404 393

Answer:

  5.423 miles

Step-by-step explanation:

Let x represent the distance to run. Then the remaining distance to the point that is closest to the island is (6-x) miles. The straight-line distance (d) to the point x from the island is given by the Pythagorean theorem:

  d² = 1² +(6 -x)² = x² -12x +37

  d = √(x² -12x +37)

The total travel time is the sum of times running and swimming. Each time is found from ...

  time = distance/speed

  total time = x/4 + d/2 = x/4 +(1/2)√(x² -12x +37)

__

The total time will be minimized when its derivative with respect to x is zero.

  t' = 1/4 +(1/4)(2x -12)/√(x² -12x +37) = 0

Multiplying by 4 and combining fractions, we can see the numerator will be ...

  √(x² -12x +37) +2x -12 = 0

Subtracting the radical term and squaring both sides, we get ...

  4x² -48x +144 = x² -12x +37

  3x² -36x +107 = 0

The quadratic formula tells us the smaller of the two roots is ...

  x = (36 -√(36² -4(3)(107)))/(2(3)) = (36 -√12)/6 ≈ 5.423 . . . mi

You should run 5.423 miles west to minimize the time needed to reach the island.

__

A graphing calculator solves this nicely. The attached graph shows the time is a minimum when you run 5.423 miles.

10x^3 - 25x^2 + 20
How to factor this

Answers

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  [tex]5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)[/tex]

Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.

Answers

Answer:1.5

Step-by-step explanation:

Instructions: State what additional information is required in order
to know that the triangles in the image below are congruent for the
reason given
Reasory. AAS Postulate

Answers

Answer:

YWX = DFE

Step-by-step explanation:

AAS means angle angle side. so, we need 2 angles and 1 side.

we have 1 side and one angle confirmed.

so, we need one of the other two angles (W or Y vs. F or D) confirmed.

they probably want W and F as answer, as Y and D would make it a special case of AAS : ASA.

Find a vector v that is perpendicular to the plane through the points

A=(5,−4,4), B=(−5,0,−3), and C=(−4,2,−5).
v =

Answers

The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Points are,

A = (5,−4,4), B = (−5,0,−3), and C = (−4,2,−5).

Hence, We get;

AB = [- 10, 4, - 7]

AC = [-9, 6, -9]

So, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = AB x AC

⇒ v = (- 10, 4, - 7) x (- 9, 6, - 9)

⇒ v = (6, - 27, - 24)

Thus, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

Learn more about the multiplication visit:

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Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

Answers

Answer:

A)

[tex]k=0[/tex]

B)

[tex]\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}[/tex]

C)

[tex]\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}[/tex]

A)

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

[tex]\displaystyle (20) = 20e^{k(1)}[/tex]

Simplify:

[tex]1= e^k[/tex]

Anything raised to zero (except for zero) is one. Therefore:

[tex]k=0[/tex]

B)

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

[tex]\displaystyle (40) = 20e^{k(1)}[/tex]

Simplify:

[tex]\displaystyle 2 = e^{k}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}[/tex]

By definition, ln(e) = 1. Hence:

[tex]\displaystyle k = \ln 2[/tex]

Therefore:

[tex]2k+1 = 2\ln 2+ 1 \approx 2.3863[/tex]

C)

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

[tex]\displaystyle (10) = 20e^{k(1)}[/tex]

Simplfy:

[tex]\displaystyle \frac{1}{2} = e^k[/tex]

Take the natural log of both sides:

[tex]\displaystyle \ln \frac{1}{2} = k\ln e[/tex]

Therefore:

[tex]\displaystyle k = \ln \frac{1}{2}[/tex]

Therefore:

[tex]\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931[/tex]

A real estate agent has 1717 properties that she shows. She feels that there is a 60`% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 55 properties in one week. Round your answer to four decimal places.

Answers

Answer:

[tex]P(x \le 5) = 0.0110[/tex]

Step-by-step explanation:

Given

[tex]n = 17[/tex] -- number of properties

[tex]p = 60\%[/tex] --- probability of selling a property

Required

[tex]P(x \le 5)[/tex]

The question is an illustration of binomial probability, and it is calculated using:

[tex]P(x ) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)[/tex]

[tex]P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}[/tex]

[tex]P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086[/tex]

[tex]P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039[/tex]

[tex]P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799[/tex]

[tex]P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948[/tex]

[tex]P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842[/tex]

So, we have:

[tex]P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842[/tex]

[tex]P(x \le 5) = 0.01059420251[/tex]

[tex]P(x \le 5) = 0.0110[/tex]

Solve the equation for x 11x=110

Answers

Answer:

x = 10

Step-by-step explanation:

11x = 110

Divide both sides by 11

11x/11 = 110/11

x = 10

An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X 5 the number of months between successive payments. The cdf of X is as follows:

0 x<1
0.30 1< x <3
F(x)= 0.40 3< x <4
0.45 4< x <6
0.60 6< x <12
1 12< x

Required:
a. What is the pmf of x?
b. Using just the cdf, compute P(3< x <6)and P(4< x)

Answers

Answer:

(a)

[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]

(b)

[tex]P(3 \le x \le 6) = 0.30[/tex]

[tex]P(4 \le x)=0.60[/tex]

Step-by-step explanation:

Given

[tex]F(x) = \left[\begin{array}{ccc}0& x<1 &\\0.30&1 \le x<3 &\\0.40&3 \le x < 4& &0.45 &4 \le x<6 &\\0.60 & 6 \le x < 12 & & 1 & 12 \le x\end{array}\right[/tex]

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]

The calculation is as follows:

[tex]0.30 - 0 = 0.30[/tex]

[tex]0.40 - 0.30 = 0.10[/tex]

[tex]0.45 - 0.40 = 0.05[/tex]

[tex]0.60 - 0.45 = 0.15[/tex]

[tex]1 - 0.60 = 0.40[/tex]

The x values are gotten by considering where the equality sign is in each range.

[tex]1 \le x < 3[/tex] means [tex]x = 1[/tex]

[tex]3 \le x < 4[/tex] means [tex]x = 3[/tex]

[tex]4 \le x < 6[/tex] means [tex]x=4[/tex]

[tex]6 \le x < 12[/tex] means [tex]x = 6[/tex]

[tex]12 \le x[/tex] means [tex]x = 12[/tex]

Solving (b):

[tex](i)\ P(3 \le x \le 6)[/tex]

This is calculated as:

[tex]P(3 \le x \le 6) = F(6) - F(3-)[/tex]

From the given function

[tex]F(6)= 0.60[/tex]

[tex]F(3-) = F(1) = 0.30[/tex]

So:

[tex]P(3 \le x \le 6) = 0.60 - 0.30[/tex]

[tex]P(3 \le x \le 6) = 0.30[/tex]

[tex](ii)\ P(4 \le x)[/tex]

This is calculated as:

[tex]P(4 \le x)=1 - F(4-)[/tex]

[tex]P(4 \le x)=1 - F(3)[/tex]

[tex]P(4 \le x)=1 - 0.40[/tex]

[tex]P(4 \le x)=0.60[/tex]

Please help me with this question

Answers

Answer:

The sum of 1/6 and 1/7 would be 13/42, or, if you wanted the answer in decimal form rounded to the nearest hundredth, it would be about 0.31.

To find the sum of 1/6 and 1/7, we cannot simply add the numerators together and maintain the same denominator. This is because 1/6 and 1/7 have different denominators, so we don't know which denominator to maintain!

To fix this we need to find a number that is divisible by both 6 and 7. One easy way to do this is to multiply the two numbers together:

6 x 7 = 42

If we were to change the denominator to 42 for each fraction, we could add the numerators together and maintain a denominator of 42. However, this means we must change the numerator of each fraction along with its denominator.

Let's start with 1/6. We can multiply 6 by 7 to obtain 42, but this means we also have to multiply 1 by 7 to keep the fraction proportionate. If the fraction does not maintain the same proportion, it will be a completely different fraction!

We know that 1 x 7 = 7, so it is safe to say that 1/6 is equal to 7/42.

We can apply the same logic to 1/7. Since 7 x 6 is 42 we need to multiply 1 by 6 along with 7. Note: you cannot multiply each number by 7 this time, because 7 x 7 would be 49, not 42. In multiplying the numerator and denominator by 6 we know that 1/7 = 6/42.

Now we have an equation of:

6/42 + 7/42

Now we can add it as we would normally by adding the numerators and keeping the denominator to get:

6/42 + 7/42 = 13/42

If you needed the answer in decimal form it would be about 0.3095238095, or 0.31 rounded to the nearest hundredth.

I hope this helped.

9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversely
proportional to the number people n working. Twelve people can assemble the set in 5 hours.
Write an equation to represent the situation.

Answers

Answer:

The situation that represents this situation is:

[tex]t = \frac{60}{n}[/tex]

Step-by-step explanation:

The amount of time t needed to assemble the set is inversely  proportional to the number people n working.

This means that:

[tex]t = \frac{k}{n}[/tex]

In which k is the constant of proportionality.

Twelve people can assemble the set in 5 hours.

This means that for [tex]n = 12, t = 5[/tex]. We use this to find k.

[tex]t = \frac{k}{n}[/tex]

[tex]5 = \frac{k}{12}[/tex]

[tex]k = 12*5 = 60[/tex]

Write an equation to represent the situation.

[tex]t = \frac{60}{n}[/tex]

Other Questions
Find the solution of x 13 = 25, and verify your solution using substitution.options:A) x = 12, 12 + 13 = 25, 25 = 25B) x = 39, 39 13 = 25, 25 = 25C) x = 37, 37 13 = 25, 25 = 25D) x = 38, 38 13 = 25, 25 = 25 The Thames Barrier is a (16)________major____ part of the flood defence scheme for protecting London (17)___________rising water level. The defenses (18)__________ included raised embankments and (19)_________________ flood gates at strategic points, including the Barking Barrier. The unique structure that is the Barrier spans the 520 meter wide Woolwich reach and (20) ______________ of 10 separate movable gates, each pivoting and supported between concrete structures which house the operating machinery. When raised, the four main gates (21)____________ stand as high as a five storey buildings and as wide as the opening of Tower Bridge. Each (22)___________3700 tonnes. During the first twelve years of (23)___________, the Barriers has been closed twenty times to protect London. (24)___________ the Barrier from the comfortable cafeteria. Picnic on the riverside. Picnic on the riverside embankment. Enjoy beautiful view from the riverside walk. Visit the shop which stocks a large selection of souvenirs, books and Barrier information. There is a children play are suitable for 4- to 12- year olds, located adjacent to the riverside walk. A visit to the spectacular Thames Barrier is a (25)_____________experience. 16. A. major B. frequent C. similar D. various 17. A. against B. for C. between D. with 18. A. and B. also C. still D. too 19. A. addition B. add C. additional D. additionally 20. A. consists B. includes C. involves D. contains 21. A. which B. every C. each D. none 22. A. measures B. costs C. calculates D. weighs 23. A. operation B. surgery C. vocation D. profession 24. A. Sight B. View C. Hear D. Explore 25. A. forgettable B. memorable C. forgetful D. memorized 40 points The gaseous vapor which the Germans used against the French divisions near Ypres last Thursday, contrary to the rules of The Hague Convention, introduces a new element into warfare. The attack of last Thursday evening was preceded by the rising of a cloud of vapor, greenish gray and iridescent. That vapor settled to the ground like a swamp mist and drifted toward the French trenches on a brisk wind. Its effect on the French was a violent nausea and faintness, followed by an utter collapse. It is believed that the Germans, who charged in behind the vapor, met no resistance at all, the French at their front being virtually paralyzed.Germans Use Blinding Gas to Aid Poison Fumes,New York Tribune (27 April 1915)How do you think American readers felt when reading this article?a.ready to go to warc.fascinated by the new weaponb.impressed by the Frenchd.frightened by the GermansPlease select the best answer from the choices providedABCD Simplify the complex number -16+8. What can help reduce problems during pregnancy? (check all that apply)Nutritious diet that follows My Plate guidanceDrink caffeineAvoid AlcoholAvoid multivitaminsGet regular, moderate levels of exerciseVisit doctor on a regular basis throughout pregnancy The moon Phobos orbits Mars(mass = 6.42 x 1023 kg) ata distanceof 9.38 x 106 m. What is its period oforbit?[?]s The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax? Suppose you have a stack ADT (i.e., an Abstract Data Type that includes operations to maintain a stack. Design a flowchart or suitable logical diagram to show you could implement a queues enqueue and dequeue operations using two stacks, stack 1 and stack 2. Music class is often seen as a fun extracurricular activity. Generally, individuals that study music achieve more exceptional scores in subjects such as math and language arts. However, music programs in schools are often underfunded or are given less attention than the typical academic subjects. Which of the following is an underlying assumption of the argument above?a. Music needs to be introduced at an early age for the benefits to be fully realized.b. Learning to play an instrument can be fun but expensive.c. Individuals who study music tend to be more intelligent. Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies? Pada pendapat anda, mengapakah manusia Zaman Prasejarah tinggal di lembah sungai dan di dalam gua? The answer the the question pictured Pls if anyone knows the answer with work included/steps that will be greatly appreciated :) for 6 just want to know is it w y x or z What is the scale factor of this dilation? A 2/3B 1 1/2C 3D 5 Heather has $45.71 in her savings account. She bought six packs of markers to donate to her school. Write an expression for how much money she has in her bank account after the donation Some people feel that soldiers who fought in a war shouldn't speak out againstit, but these soldiers often reply that they understand the problems better thananyone else. What do you think? Which of the following are true statements about the Java wrapper classes (Select all that apply.): Select one or more: a. Objects of these type are immutable b. Objects of these types are mutable c. The wrapper classes do not have no-arg constructors d. The wrapper classes do have no-arg constructors Which of the following is not a characteristic of a strong thesis for a personalessay?A. Presents one pointB. Comes from your own experiences and thoughtsC. Is of interest only to youD. Is of interest to you and your reader . What happened in the Soviet Union after the Cuban Missile Crisis?Nuclear weapons were dismantled.Victory was declared.Khrushchev was driven from power.Supplies were secretly taken to Cuba. Choisis la meilleure conjugaison pour completer la phrase suivante.