Please help i do not know how to do this its for my little brother!

The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

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;

A road is 2/7 of a mile long

And, a crew needs to repave 2/3 of the road.

Now, The length of the section that needs to be repaved is,

⇒ 2/3 of 2/7

⇒ 2/3 × 2/7

⇒ 4 / 21 miles

Thus, The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

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Respuesta:

190 km

Explicación paso a paso:

Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:

a = 2/3*c

b = 2*c

d = a + b

Ahora bien sabemos que d = 80, reemplazamos y nos queda:

80 =  a + b

tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:

80 = 2/3*c + 2*c

80 = 8/3*c

c = 80*3/8

c = 30

ahora calculamos tanto a como b:

a = 2/3*30 = 20

b = 2*30 = 60

Ahora, el recorrido total es la suma de todos los tramos:

Total = a + b + c + d

Total = 20 + 60 + 30 + 80 = 190

Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km

The magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

Since in a certain region of space, the potential is given by v = 2x − 5x²y 3yz²,

The electric field, E = -grad(V) where grad(V) = (dV/dx)i + (dV/dy)j + (dV/dz)k

Since V = 2x − 5x²y + 3yz²

dV/dx = d(2x − 5x²y + 3yz²)/dx

= d2x/dx - d5x²y/dx + d3yz²/dx

= 2 - 10xy + 0

= 2 - 10xy

dV/dy = d(2x − 5x²y + 3yz²)/dy

= d2x/dy - d5x²y/dy + d3yz²/dy

= 0 - 5x² + 3z²

=  - 5x² + 3z²

dV/dz = d(2x − 5x²y + 3yz²)/dz

= d2x/dz - d5x²y/dz + d3yz²/dz

= 0 - 0 + 6z

=  6z

So, E = -grad(V)

= -[(dV/dx)i + (dV/dy)j + (dV/dz)k]

= -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

So, the electric field at (-2, 2, 0) is

E = -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

E = -[(2 - 10(-2)(2))i + (- 5(2)² + 3(0)²)j + (6(0))k]

E = -[(2 + 40)i + (- 5(4) + 0)j + (0)k]

E = -[42i + (-20 + 0)j + (0)k]

E = -[42i - 20j + 0k]

E = -42i + 20j - 0k

So, the magnitude of E at (-2, 2, 0) is

|E| = √[(-42)² + 20² + 0²]

=  √[1764 + 400 + 0]

= √2164

= 46.52 V/m

So, the magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

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Answer:

18/12

Step-by-step explanation:

Answer:

5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

because you have a 50 % 50% shot of getting either.

Answer:

20

Step-by-step explanation:

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

4

Step-by-step explanation:

i think i am correct but if im not sorry

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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Answer:

Step-by-step explanation:

You want to compare various statistics related to Graduates and Non-graduates based on the given stem-and-leaf plot.

The number of responses in the 40s can be found by counting the leaves that have a stem of 4:

  Graduates: 6

  Non-graduates: 8

More Non-graduates had responses in the 40s.

The range for each group is found by subtracting the minimum value from the maximum:

  Graduates: 56 -21 = 35

  Non-graduates: 53 -23 = 30

The median of the group of 17 Graduates is the 9th element in the list, 41.

The median of the group of 18 Non-graduates is the average of the 9th and 10th elements in the list:

  (39+40)/2 = 39.5 . . . . . . less than 41

Graduates had the greater median number of hours.

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Answer:

x=4

Step-by-step explanation:

checked my answer its right

Answer:

6/4

Step-by-step explanation:

The equation that shows the relationship between the number of cups and pints is c = 2p.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

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Answer:

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

Answer:

\({ \tt{volume = length \times height \times width}}\)

\({ \tt{volume = (12 \times 5 \times 4) \: {in}^{3} }} \\ \\ { \boxed{ \tt{ \: volume = 240 \: {in}^{3} \: }}}\)

x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000. This can be obtained by understanding the question and observing the equations.

Given that total number of seats is 10,000 and there are two levels pricing.

Thus by observing the equation, x + y = 10,000,

10,000 is the sum of 2 variable which obviously will be the number of tickets in level 1 and number of tickets in level 2.

Since there are two level pricing,

50x + 150y = 75,000 represent the addition of total cost of tickets of level 1 and 2.

Hence x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000.

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The value of the given expression is -1.

Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

so,

1/4 (-4/1) (3/5) (-5/6) (-2)

= 1/4 × -4 × 3/5 × -5/6 × -2

= -1 × -1/2 × -2

= -1

Hence the value of the given expression is -1.

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Answer:

28$

Step-by-step explanation:

This statistics is an example of the "interference theory" in motor learning.

Interference theory suggests that when individuals learn multiple skills or movements in a random order, they perform better in retention and transfer tests compared to those who learn the same skills or movements in a blocked or constant order. The random practice group in this scenario was able to better transfer their knot-tying skills to new situations because they learned the knots in a more varied and unpredictable way, which helped them develop more adaptable and flexible motor patterns.

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|CD| is parallel to |AB|

Also;

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

Enrique used the difference of squares pattern incorrectly when factoring in step [3].

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation as -

3x² = 27

The correct way of solving a equation is as follows -

3x² = 27

3x² - 27 = 0

3(x² - 9) = 0

In the step above, Enrique made a mistake. Enrique used the difference of squares pattern incorrectly when factoring.

(x² - 9) = 0

x² = 9

x = ± 3

Therefore, Enrique used the difference of squares pattern incorrectly when factoring in step [3].

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Answer:

(4x + 7)(x - 2)

Step-by-step explanation:

Synthetic division can be a very useful tool in factoring, although there are certainly other methods.

-14 is the constant term; its factors here MAY include ±2 and/or ± 7.

Let's use synthetic division to determine whether or not 2 is a root of the quadratic:

2   /   4    -1    -14

               8     14

    --------------------

         4     7      0

Because the remainder here is zero (0), we have verified that 2 is a root and (x - 2) is a factor of 4x^2 - x - 14.  Note that the remaining coefficients, 4 and 7, indicate that the other factor is 4x + 7.

Thus, 4x^2– x - 14 = (4x + 7)(x - 2)

Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

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The speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

.Let "t" be the time taken to travel 78 miles downstream and "t" be the time taken to travel 42 miles upstream.

The distance traveled downstream is 78 miles, so we can write:78 = (10 + x)t ... equation (1)

The distance traveled upstream is 42 miles, so we can write:42 = (10 - x)t ... equation (2)

Solving equations (1) and (2) for "t", we get:t = 78 / (10 + x) ... equation (3)

t = 42 / (10 - x) ... equation (4)

We can equate the value of "t" from equations (3) and (4) since the time is the same.

We get:78 / (10 + x) = 42 / (10 - x)

Multiplying both sides by (10 + x)(10 - x), we get:78(10 - x) = 42(10 + x)

Simplifying, we get:780 - 78x = 420 + 42x

Adding 78x and subtracting 420 from both sides, we get:120x = 360x = 3

Therefore, the speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

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Answer:

Step-by-step explanation:

If S is the midpoint of R and S and the coordinate R(-9, 4) and S(2, -1), we are to find T.

Usimg the midpoint formula;

\(M(X, Y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\ where; X = \frac{x_1+x_2}{2}\\Y = \frac{y_1+y_2}{2}\)

Given \(x_1 = -9, y_1 = 4, X = s \ and \ Y = -1\), to get the other coordinate T (x2, y2), we will use the formula above as shown;

\(X = \frac{x_1+x_2}{2}\\2 = \frac{-9+x_2}{2}\\cross \ multiply\\2*2 = -9+x_2\\4 = -9+x_2\\x_2 = 4+9\\ x_2 = 13\)

Similarly to get y2;

Y = y1+y2/6

-1 = 4+y2/2

cross multiply

-1*2 = 4+y2

-2 = 4+y2

y2 = -2-4

y2 = -6

Hence the coordinate T is (13, -6)

There are 89 data points included in this frequency distribution.

To determine the number of data points included in the frequency distribution, we need to add up the frequencies in each category.

According to the frequency distribution provided, there are:

40 data points that fall in the category of "01-05"

12 data points that fall in the category of "06-10"

14 data points that fall in the category of "11-15"

12 data points that fall in the category of "16-20"

11 data points that fall in the category of "21-25"

To find the total number of data points, we add up the frequencies in each category:

Total number of data points = 40 + 12 + 14 + 12 + 11 = 89

Therefore, there are 89 data points included in this frequency distribution.

Since a week is not specified in the given data, we cannot determine how many weeks of data are included in this frequency distribution.

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❄ Hi there,

\(\sf{\dfrac{1}{6}\approx0.167}\), rounded to 3 DP (decimal places)

\(\left\vert\textsf{Decimal Places = Number of digits after the decimal point}\vert\)

Why round? Because the entire number goes on for ever and ever.

So, we need to round. 1/6 rounded to 3 decimal places is 0.167. We have 3 numbers after the decimal point.

❄

Answer:

There is one solution

Step-by-step explanation:

4x + 6 = 6x - 2

Subtract 4x from each side

4x-4x + 6 = 6x-4x - 2

6 = 2x-2

Add 2

6+2 = 2x

8 = 2x

Divide by 2

8/2 = 2x/2

4=x