a bus can take 20 girls at a time to school. the bus mahes 4 trips to take x number of girls to school. find x

Answer:

Allison tuvo el mejor récord

Step-by-step explanation:

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be \(d(s) = 0.0056\cdot s^{2} + 0.14\cdot s\), where \(d\) is the stopping distance measured in metres and \(s\) is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of \(d(s)\).

2) Add the function \(d = 7\,m\).

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

scaled up 2 times

Step-by-step explanation:

The surface area of a cylinder is

Where r = 6cm and h = 12cm.

The lateral surface area would be

Because is the first term of the surface area formula.

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Since the fourth derivative of \(f(x) = e^(-2x)\) is also \(e^(-2x),\) we have:

\(|(e^{(-2c)})(x - a)^4| \leq 0.001 * 4\)

The Taylor series is a mathematical representation of a function as an infinite sum of terms that are calculated from the function's derivatives at a specific point. It provides an approximation of a function around a particular point using a polynomial expansion.

The general form of a Taylor series for a function f(x) centered at a point a is:

\(f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...\)

where f'(a), f''(a), f'''(a), etc., represent the derivatives of the function evaluated at the point a.

To determine the values of x for which the function\(f(x) = e^(-2x)\)can be replaced by the Taylor polynomial with an error not exceeding 0.001, we need to consider the remainder term in the Taylor series expansion.

The Taylor series expansion of\(f(x) = e^(-2x)\)centered at x = 0 is given by:

\(f(x) ≈ 1 - 2x + (2x^2)/2! - (4x^3)/3! + ...\)

The remainder term for the nth-degree Taylor polynomial is given by:

\(R_n(x) = (f^(n+1)(c))(x - a)^(n+1)/(n+1)!\)

where f^(n+1)(c) is the (n+1)th derivative of f(x) evaluated at some point c between x and a, and a is the center of the Taylor series expansion.

To find the values of x for which the error does not exceed 0.001, we set the remainder term R_n(x) less than or equal to 0.001 and solve for x.

In this case, since the Taylor polynomial is given up to the third-degree term, we consider the remainder term R_3(x):

\(R_3(x) = (f^(4)(c))(x - a)^4/4!\)

To ensure the error is less than or equal to 0.001, we have:

\(|(f^{(4)}(c))(x - a)^4/4!| \leq0.001\)

Simplifying, we get:

\(|(f^{(4)}(c))(x - a)^4| \leq 0.001 * 4\)

Since the fourth derivative of \(f(x) = e^(-2x) is also e^(-2x),\)we have:

\(|(e^{(-2c)})(x - a)^4| \leq 0.001 * 4\)

Now, we can solve for the values of x that satisfy this inequality. However, without knowing the specific range or interval of x, I cannot provide the exact values or interval notation

To know more about Taylor series visit:

https://brainly.com/question/28168045

#SPJ4

Answer:

it not clear maybe you can take an other pohto

sorry

Step-by-step explanation:

Answer:

10 - B = U

Step-by-step explanation:

U stands for the unopened bottles

for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)

The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.

therefore the equation 10 - B = U shows the amount of unopened bottles

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

Learn more about system equation

brainly.com/question/32645146

#SPJ11

Answer:

-3 = -3x

9x^2 = 9

4x = 4x^2

Answer:

19.4

Step-by-step explanation:

Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

Answer:

B. y = 4x2

Step-by-step explanation:

Answer: The quadratic function y=4x^2 has the narrowest graph.

Part 1

we have the formula

so

Poconos NY C=15 degrees

substitute in the formula

Canada, C=5

substitute

Part II

Holiday Inn ------> 80n+10

Days Inn ------> 110n-50

Part III

For n=3

substitute in each expression

Holiday Inn -----> 80(3)+10=$250

Days Inn ------> 110(3)-50=$280

therefore

The cheaper hotel is Holiday Inn

Part IV

Holiday Inn -----> cheaper hotel

Canada ----> the temperature is less than NY

therefore

Notice that we can divide the polygon in two regular polygons:

then, we can find the area separately:

adding both areas, we get:

therefore, the area of the polygon is 258 square centimeters

Answer:

both Jenna and Mia got the same answer because the answer they got is correct but they used their own techniques to reach for the answer.

Mia's steps are time efficient enough by shortening the length of the sum and jumping steps...

Jenna is also correct in her own way, she wrote the full steps and explanation of the answer stepwise which is time consuming but cannot be wrong at the end throughout the steps. Even if she gets wrong she can quickly find the place of the mistake.

Answer:

Step-by-step explanation:

length of the rectangle = 2.5 m

breadth of the rectangle = 1.6 m

Perimeter of rectangle = 2( l + b )

= 2 × 4.1

= 8.2 m

Hope this helps

plz mark as brainliest!!!!!

X is used as a Place holder for the value(s) in math. Oh and angle BAG should be around 135!

Answer:

C

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

Using the given formula

P = 2(l + w)

  = 2(\(\frac{2}{3}\) + \(\frac{1}{3}\) )

   = 2(1)

   = 2 units

Answer:

i think its abc stays same, bac gets smaller, and acb gets bigger

for the second part, abc same, bac bigger, acb smaller

Step-by-step explanation:

if you picture the triangle in your head that probably would help

If we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.

Here Given in the question that Point C is movable and it moves towards point B.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same.  Therefore ∠ABC will remain the same.

If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.

Therefore if we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.

If we take point C far from point B, then the thing will be reversed except ∠ABC.

Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Learn more about the angle

here: https://brainly.com/question/788198

#SPJ2

The position vector from (3, − 8,0) to ( − 9, − 7, − 6) is  (-12, 1, -6).

To find the position vector, we need to add this vector to the initial point (3, -8, 0). This gives us:
(3, -8, 0) + (-12, 1, -6) = (-9, -7, -6)
In mathematics, position vector refers to a vector that describes the position of a point relative to an origin point. In this question, we are asked to find the position vector that is equal to the vector from (3, -8, 0) to (-9, -7, -6).

To find the position vector, we need to add the vector from the initial point to the final point to the initial point itself. This gives us the endpoint of the vector, relative to the origin. The position vector is important in many applications, such as physics, engineering, and computer graphics, where it is used to describe the position of an object or point in space.

To know more about position vectors visit:

https://brainly.com/question/31289161

#SPJ11

Answer:

13

Step-by-step explanation:

We can write the following inequality to find the answer:

7x + 3 < 100 (where x is our answer and x is an integer)

7x < 97

x < 13.86

The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.

try 15? kwqjwkjjsjshejqjdwjejdjhwksjdwkjsekjrskjfkskdjeekjee

The question requires expressing the integral of a vector field over the surface of the tetrahedron T in terms of a double integral over a region in the xy-plane.

Let the vertices of the tetrahedron T be denoted as A, B, C, and D respectively, where A = (5,0,0), B = (0,5,0), C = (0,0,5), and D = (0,0,0).

We can use the divergence theorem to relate the surface integral of a vector field F over T to a triple integral of the divergence of F over the region R enclosed by T.

Using this theorem, we have:

∬S F · dS = ∭R div F dV

where S is the surface of T, dS is the outward unit normal vector to S, R is the region enclosed by T, and dV is the volume element.

Let F(x, y, z) = 6(2, y, z) be the given vector field.

Then, we have

div F = 6(∂/∂x(2) + ∂/∂y(y) + ∂/∂z(z)) = 6(0 + 1 + 1) = 12

Therefore,

∬S F · dS = ∭R div F dV

= ∭R 12 dV

To express this triple integral as a double integral over the xy-plane, we can project R onto the xy-plane.

Since the tetrahedron is symmetric with respect to the xy-plane, we can find the projection of one of the triangular faces onto the xy-plane and use that to determine the bounds of integration for the double integral.

The triangular face with vertices B, C, and D projects onto the triangle with vertices (0,0), (0,5), and (5,0) in the xy-plane.

Let this region be denoted as Q.

Then, we have:

∭R 12 dV = 12 ∭R dV

= 12 volume of tetrahedron T

The volume of T can be found using the formula for the volume of a tetrahedron:

volume of T = 1/3 |AB · AC x AD|

= 1/3 |(5,0,0) · (0,5,0) x (0,0,5)|

= 1/3 |(-25,0,25)|

= 25/3

Therefore,

∬S F · dS = ∭R div F dV

= 12 ∭R dV

= 12 (volume of tetrahedron T)

= 100

We can also express the double integral over Q as:

∬Q f(x,y) dA = ∫0⁵ ∫0^(5-x) f(x,y) dy dx

where f(x,y) = v(x,z) evaluated at z = 0.

Therefore, we have:

∬S F · dS = 100 = ∬Q f(x,y) dA

= ∫0⁵ ∫0^(5-x) f(x,y) dy dx

= ∫0⁵ ∫0^(5-x) v(x,0) dy dx

Hence, the given surface integral is equivalent to the double integral of v(x,0) over the region Q in the xy-plane, which can be evaluated using the above formula.

To learn more about vector field here:

brainly.com/question/29815461#

#SPJ11

The common difference in the sequence 7, 12, 17, 22, 27,… is that the difference between two numbers increases by five in the ascending order.

A sequence can be referred to or considered as the set of observations, which usually consists of numbers arranged in such a way that they described a common characteristic between them. A sequence can be exhaustive or inclusive, depending upon the numbers being used in the continuity of the sequence. It can also be said that a sequence is a logical arrangement.

Learn more about a sequence here:

https://brainly.com/question/21961097

#SPJ4

Complete question

what is the common difference in the sequence 7, 12, 17, 22, 27, ...?

Answer:

None of the following

Step-by-step explanation:

Answer:

Radius duh

Step-by-step explanation:

Assuming that Rodney is standing on level ground, the distance from his feet to the top of the 25-foot tall flagpole can be calculated using the Pythagorean theorem. The distance is approximately 26.2 feet.

In this problem, we can imagine a right triangle with the flagpole as the vertical side and the distance Rodney walks as the horizontal side. The distance from Rodney's feet to the top of the flagpole is the hypotenuse of this triangle. Let's call this distance "d". We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse\((d^2)\)is equal to the sum of the squares of the other two sides. In this case, we have:

\(d^2 = 10^2 + 25^2\)

Simplifying this equation gives us:

\(d^2 = 100 + 625\)

\(d^2 = 725\)

Taking the square root of both sides, we get:

d ≈ 26.2

Therefore, the distance from Rodney's feet to the top of the flagpole is approximately 26.2 feet.

Learn more about Pythagorean theorem here: https://brainly.com/question/14930619

#SPJ11

Answer:

5x-4y = -32

Step-by-step explanation:

First write the equation in point slope form

y-y1 = m(x-x1)

y - -2 = 5/4 ( x- -8)

y+2 = 5/4 (x+8)

Multiply each side by 4 to clear the fraction

4( y+2 )= 4*5/4 (x+8)

4y +8 = 5(x+8)

4y+8 = 5x+40

Subtract 4y from each side

8 = 5x-4y +40

Subtract 40 from each side

-32 = 5x-4y

5x-4y = -32

Answer:

The answer is

Step-by-step explanation:

To write an equation of a line given a point and slope use the formula

y - y1 = m( x - x1)

where

m is the slope

( x1 , y1) is the point

From the question

slope = 5/4

point (-8 , -2)

So the equation of the line is

Multiply through by 4

4y + 8 = 5( x + 8)

4y + 8 = 5x + 40

5x - 4y = 8 - 40

We have the final answer as

Hope this helps you