Which subatomic particles are located in the nucleus of an He-4 atom?

The average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25  .

In the question ,

it is given that

the position of the particle that travels along the x-axis at time t is given by the function

x(t)=2t²+t

the average speed of the particle can be calculated by using the formula

average speed = (change is distance)/(change in time)

particle position at t=2

x(2) = 2(2)²+2 = 2*4+2 = 10

particle position at t=10

x(10) = 2(10)²+(10)

= 2*100+10

= 200+10

= 210

So, change in distance = 210-10= 200

change in time = 10-2 = 8

Putting the values in the average speed formula we get

average speed = 200/8

= 100/4

=25

Therefore , the average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25  .

The given question is incomplete , the complete question is

A particle travels along the x-axis such that its position at time t is given by the function x(t)=2t²+t . What is the average speed of this particle over the interval 2 ≤ t ≤ 10?

(a) 4

(b) 25

(c) 32

(d) 200

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Yes, the number of scoops proportional.

Define Proportional

A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.

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Answer:

(4x + 3)(2x + 5)

4x(2x + 5) +3(2x + 5)

8x^2 +20x +6x + 15

8x^2 +26x + 15

so, g(h(x))=8x^2 +26x +15

again

(4x + 3)(2x +5).0

0

so, g(h(0))=0

Answer:

Step-by-step explanation:

13.

m1 is 120 because angle 120 and angle 1 are tranversal angle

So now we know that angles m1 and m2 are vertically opposite angle

Then m2 = 120

m1 = 120

m2 = 120

14.

angle 1 and 105 have the sum of 180 because they are Interior angles on the same side of the transversal

So angle 1 equals 180-105=75

angle 2 and angle 1 are on a line so the sum of the 2 angles are 180

So: 180 - 75 = 105

m1 = 105

m2 = 75

Answer

The height of the child in a year time = 124.8 cm

Explanation

The child is currently 120 cm tall.

The child grows 4% bigger in 1 year.

We now need to calculate how tall the child is in that 1 year.

New height for the child = (Current height) + (Increase in height)

Current height = 120 cm

Increase in height = 4% of 120 cm = 0.04 × 120 = 4.8 cm

New height for the child = (Current height) + (Increase in height)

= 120 + 4.8

= 124.8 cm

Hope this Helps!!!

The probability that this person choosen only visited one of the two places is 9/20

What is Probability?

Probability is a measure of the possibility that an event to occur.

 The probability for an event to occur= Possible outcome /Total outcome

to get the possible out come we must Know the number of people that visited ET and NDC only.

using set theory;

if x is the no of people that visited both places then,

8-x =ET only

13-x= NDC only

5= none visited ET and NDC

x+13-x+8-x+5=20

collect like terms

26-x= 20

x =6

therefore ET only= 2

NDC only= 7

probability of ET = 2/20

probability of NDC= 7/20

therefore probability that the person chosen only visited one place = p(ET)+P(NDC)= 7/20+2/20

= 9/20

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Answer:

12.5 hours

Step-by-step explanation:

The flat rate is the base, in which no matter how long you rent it for, they'll still charge you that much. You have 200 dollars, and negative 75 is 125 dollars, which you can spend on the hours. Assuming you can rent the jet ski for half an hour, you can divide 125 by 10 for the amount of hours, and the answer is 12.5 hours. However, if you can't rent the jet skis for half an hour, the answer is 12 hours.

Answer: I don't know why I'm here

Step-by-step explanation: help

Answer:

3x2-11x-4

Step-by-step explanation:

The determinant of the given matrix is [tex]2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4[/tex]

Determinant of the matrix:

Determinant of the matrix is defined as a scalar value which is associated with the square matrix.

Given,

Here we have the matrix show in the question.

Now, we need to find the determinant of the matrix.

To find the determinant of the matrix we have to do the following steps:

1) First we have to pick any row or column in the matrix. It does not matter which row or which column you use, the answer will be the same for any row or column.

2) After the selection you have to multiply every element in that row or column by its cofactor and add. The result is the determinant.

This process can be elaborated in the following steps:

[tex]=(b+c)^2 \times ((a+c)^2 \times (a+b)^2 - b^2 \times c^2) -a^2 \times (b^2 \times (a+b)^2 - b^2 \times c^2) +a^2 \times (b^2 \times c^2 - (a+c)^2 \times c^2)[/tex]

When we expand the equation then we get,

[tex]=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+c^2b^2+2acb^2 -b^2c^2) -a^2 \times(b^4+2b^3a+b^2a^2 -b^2c^2) +a^2 \times(b^2c^2 -c^4-2c^3a-c^2a^2)[/tex]

Group the similar terms and arrange them in order,

[tex]=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+2acb^2) -a^2 \times (b^4+2b^3a+b^2a^2-b^2c^2) +a^2 \times (-c^4-2c^3a+b^2c^2-c^2a^2)[/tex]

Again we have to expand it and then we get,

[tex]= a^4b^2+2a^4bc+a^4c^2+c^4a^2+2c^4ab+2a^3b^3+6a^3b^2c+6a^3bc^2+2a^3c^3+6c^3ab^2+a^2b^4+6a^2b^3c+10a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4 -b^4a^2-2b^3a^3-b^2a^4+b^2c^2a^2 -c^4a^2-2c^3a^3+b^2c^2a^2-c^2a^4[/tex]

After the simplification, the resulting determinant is

[tex]=2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4[/tex]

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The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5)  = 4

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5)  = 4

Hence, the expression represented by the statement is 6(t - 5)  = 4

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The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.

If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.

If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.

Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.

6y/6 = −7x/6 + 4/6

y = −7/6x + 2/3

The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.

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Answer:

Step-by-step explanation:

k = x+8

c= x+5

j= x+5

3x+18=72

x = 18

Chris = 23

Kieran = 26

Jermaine = 23

Answer:

Chris = 17 goals

Kieran = 25 goals, and

Jermaine = 30 goals

Step-by-step explanation:

Let K, J, and C stand for the goals scored by Kieran, Jermaine, and Chris, respectively.

We learn that:

K = C + 8    [Kieran scored 8 more goals than Chris]

J = K + 5     [Jermaine scored 5 more goals than Kieran]

K + J + C = 72  [Altogether they have scored 72 goals]

-----

We have 3 equations and 3 unknowns.  Therefore, we should be able to find a solution by rearranging and substituting.  

Let's start with K + J + C = 72 and find ways to eliminate two of the three variables.

We can substitute for K since  K = C + 8

K + J + C = 72

(C+8) + J + C = 72

Rearrange:

2C+8 + J  = 72

We can also substitute for J since J = K + 5

2C+8 + J  = 72

2C+8 + (K + 5)  = 72

Again, we can substitute for K since (K = C + 8)

2C+8 + (C+8) + 5  = 72

2C+8 + (C+8) + 5  = 72

3C +21  = 72

3C = 51

C = 17

---

Since C = 17, we can find K with K = C + 8

K = C + 8

K = 17 + 8

K = 25

---

Since K = 25, we can find J with J = K + 5

J = K + 5

J = 25 + 5

J = 30

===

We find:

C (Chris) = 17 goals

K (Kieran) = 25 goals, and

J (Jermaine) = 30 goals

17 + 25 + 30 = 62 total goals.

Answer: 3, 9, and 9

Step-by-step explanation:

X+3x+3x=217x=21x=33, 9, 9=21

The equivalent expressions when y = 2 and y = 5 are the expressions that have the same numeric value when y = 2 and when y = 5.

Equivalent expressions are expressions that have the same numeric value.

Hence, the equivalent expressions when y = 2 and y = 5 have the same value when y = 2 and y = 5.

This numeric value is calculated replacing each instance of y by 2 when y = 2 and each instance of y by 5 when y = 5.

For example:

Different numeric values, hence not equivalent, just an example as to how you should proceed.

You will do this for all expressions, and when you find equal values for y = 2 and for y = 5, then they will be equivalent.

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See explanation below

An ellipse has a standard equation formula written as:

When the sign between the x^2 and y^2 terms is positive, then it is a ellipse

An hyperbola has a standard equation written as:

when the sign between the parenthesis of x^2 and y^2 terms is minus, then it is an hyperbola

A circle has a general formula written as:

The terms x^2 and y^2 are not divided by a constant. Also the left side of the equation represents the square of the radius

Parabola has a vertex form of equation written as:

Here, we only have term x^2, no y^2. y has an exponent of 1. Also a constant of a

Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]

Step-by-step explanation:

[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]

Each bird would receive 1/9 cup of bird food.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given an area model with 12 shaded parts and 6 unshaded parts. The shaded part is labeled two-thirds. Adela divided Two-thirds of a cup of bird food equally among 6 birds.

The dividend would be

⇒ 2/3

The divisor would be

⇒ 6

The division expression would be

⇒ 2/3

Divided by 6

Rewrite the division expression to get

⇒ 2/3 × 1/6

⇒ 2 / 18

⇒ 1/9

Therefore, each bird would receive 1/9 cup of bird food.

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Answer :- 60 cm^2

Step-by-Step Solution :-

Let ABCD be the Rectangle.

Given :

AD = 12 cm

BD = 13 cm

To Find : Area of ABCD

Solution :

In ∆ADB,

AD = 12 cm and BD = 13 cm

By Pythagoras Theorem,

(BD)^2 = (AD)^2 + (AB)^2

13^2 = 12^2 + (AB)^2

169 = 144 + (AB)^2

AB^2 = 169 - 144 = 25

AB = √25

Therefore, AB = 5 cm

Now, to find the Area,

Area of Rectangle = length × breadth

Area of ABCD = 12 × 5

Therefore, Area of ABCD = 60 cm^2

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

Answer: (5x - 1)(x + 9)

Step-by-step explanation:

    Please note the method of factoring may differ per class, but this is how I was taught.

    First, we will multiply the coefficient of x² by the constant.

5 * -9 = -45

   Next, we will find two numbers that add up to 44 (coefficient of x) and multiply to -45 (the number we got above).

-1 * 45 = 45

-1 + 45 = 44

       -1 and 45 ✓

   Now, we can start to factor. First, we will rewrite 44x.

5x² + 45x - 1x - 9

   Then, we will factor by grouping.

5x(x + 9) -1(x + 9) ➜ (5x - 1)(x + 9)

      The completely factored form is:

                    (5x - 1)(x + 9)

If a survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. The  percent of the youths surveyed prefer reading electronic books is: 54%

Given data:

Youth book preference

Print = 34

Electronic = 40

Now let determine the percentage using this formula

Total = Print + Electronic book

Total = 34 +40

Total = 74

Now let determine the percentage of youth that preferred reading electronic book which  is calculated as :

Percentage = 40 / 74

Percentage = 0.54 × 100

Percentage = 54 %

Therefore we can conclude that 54% like to read electronic book.

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The approximate volume of the pyramid when it's 75% full is 303.75 inches³.

The volume of a square base pyramid can be represented as follows:

volume of the square base pyramid = 1 / 3 Bh

where

Therefore, the square bas pyramid has a base side of 9 inches and height of 15 inches. Let's find the volume when it's 75% full.

B = 9² = 81 inches²

h = 15 inches

Therefore,

volume of the square base pyramid = 1 / 3 × 81 × 15

volume of the square base pyramid = 81 × 5

volume of the square base pyramid = 405 inches³

Therefore, when it's 75% full

volume  = 75% of 405

volume = 75 / 100 × 405

volume = 30375 / 100

volume = 303.75 inches³

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Answer:

35 yards above sea level

Step-by-step explanation:

12 + 38 - 15

50 - 15

35

After combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

As given in the question,

Given expression is equal to :

-4r -2r + 5

Now combine the like terms to get the equivalent expression we have,

Like terms of the given expression -4r -2r + 5 are -4r and -2r

( -4r -2r) +5

= -r (4+2) +5

= -6r +5

Equivalent expression of the given expression -4r -2r + 5  is -6r +5.

Therefore, after combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

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Answer:

x = -2

Step-by-step explanation:

If m(x) = 4x + 15 and m(x) = 7, the we can substitute and get the equation:

4x + 15 = 7

x = -2

Answer:

1.)|4x-2|=-6

This eguation has not solution.

Answer:

the first one; absolute value cannot be negative

Step-by-step explanation:

|4x-2| = -6

add 2

|4x| = -4

divide 4 on both sides

x = -1

|4x-2| = 6

repeat the same steps

x = 2

The equation that have same solution to 3x-12=24 is 4x - 30 = 18.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is illustrated as:

3x - 12 = 24

Collect like terms

3x = 24 + 12

3x = 36

Divide through by 3.

3x / 3 = 36 / 3

x = 12

In this case, 4x - 30 = 18 will be:

4x - 30 = 18.

Collect like terms

4x = 18 + 30.

4x = 48

Divide

x = 48/4

x = 12

Therefore, 4x - 30 = 18 has same solution.

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