How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of

4 1/2 mph

Answer:

-5,7

Step-by-step explanation:

please make me brainiest thx

Answer:

-5/9

Step-by-step explanation:

Slope of line a is,

m = (1-10) / (1-6)

= (-9) / (-5)

= 9/5

Slope of line b is -1/m

-1/m = -1 / (9/5) = -5/9

Answer:

Slope of line b: -5/9

Step-by-step explanation:

(6,10) and (1,1)

m = (10-1)/(6-1)

m = 9/5

Answer:

Step-by-step explanation:

I have "and" but not "or"

"and" is when your talking about the decimal point for example:

1.2

one, and, two tenths

The region enclosed by the curves y = x, y = 3x, and y = -x + 4 needs to be sketched, and its area should be found.

To sketch the region enclosed by the curves, we need to plot the three given curves on a coordinate plane. The first curve is y = x, which represents a straight line passing through the origin (0,0) with a slope of 1. The second curve is y = 3x, which is also a straight line passing through the origin but with a steeper slope of 3. The third curve is y = -x + 4, which represents a line with a y-intercept of 4 and a negative slope of -1. By plotting these three lines on the same coordinate plane, we can see that they intersect at three points: (0,0), (1,3), and (3,1). The region enclosed by these curves is a triangular region with vertices at these three points. To find the area of this triangular region, we can use the formula for the area of a triangle: A = (1/2) * base * height. Let's draw the graph:

     |

   4 |         .  (2, 2)

     |      .

     |   .

     | .

   0 |_____________________

     0     1     2     3     4     5     6

In this graph, the first equation (y = x) is depicted by a diagonal line passing through the origin (0,0). The second equation (y = 3x) is a steeper line, while the third equation (y = -x + 4) is a downward-sloping line with a y-intercept of 4. In this case, the base of the triangle is the distance between the points (0,0) and (3,1), which is 3 units. The height of the triangle is the distance between the point (1,3) and the line y = -x + 4, which is also 3 units. Substituting these values into the area formula, we get A = (1/2) * 3 * 3 = 4.5 square units.

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Answer:

The answer is 9y + 18

Step-by-step explanation:

Multiply using the distributive property.

Hoped this helped!

A random sample of 80 people were selected and 50 were found to be male. The 95% confidence interval for the proportion of gamers based on the sample is (0.575, 0.825).

To calculate the confidence interval, we use the formula:

CI = "p ± Z * √("p(1-"p)/n)

where "p is the sample proportion, Z is the critical value corresponding to the desired confidence level (95% in this case), and n is the sample size.

In this scenario, the sample proportion "p is calculated by dividing the number of male gamers (50) by the total sample size (80), giving us "p = 50/80 = 0.625.

The critical value Z for a 95% confidence level is approximately 1.96 (assuming a large sample size).

Substituting the values into the formula, we have:

CI = 0.625 ± 1.96 * √(0.625(1-0.625)/80)

Calculating the values within the formula, we find:

CI = (0.575, 0.825)

Therefore, the 95% confidence interval for the proportion of gamers in the population, based on this sample, is (0.575, 0.825).

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The inequality that represents this situation is y - 2x > 16.

Let's start by finding Terry's current winning percentage:

Terry's current winning percentage = 18/35 = 0.5143 (rounded to 4 decimal places)

We want to find out how many of the remaining games Terry needs to win for her winning percentage to be greater than Sandra's winning percentage, given that Sandra doesn't win any more games. Sandra's current winning percentage is:

Sandra's current winning percentage = 24/36 = 0.6667 (rounded to 4 decimal places)

Let x be the number of remaining games and y be the number of games Terry needs to win. Since there are a total of x remaining games and Terry wins y of them, she will have won a total of 18 + y games out of 35 + x games. Therefore, her winning percentage after winning y of the remaining games would be:

(18 + y) / (35 + x)

We want this winning percentage to be greater than Sandra's winning percentage:

(18 + y) / (35 + x) > 24/36

Multiplying both sides by 36(35 + x), we get:

36(18 + y) > 24(35 + x)

Simplifying the left-hand side:

36(18 + y) = 648 + 36y

Simplifying the right-hand side:

24(35 + x) = 840 + 24x

Substituting these simplifications back into the inequality, we get:

648 + 36y > 840 + 24x

Simplifying:

12y - 24x > 192

Dividing both sides by 12:

y - 2x > 16

Therefore, the inequality that represents this situation is:

y - 2x > 16

So Terry needs to win more than twice as many remaining games as the number of games Sandra has won more than her in order to have a winning percentage greater than Sandra's winning percentage.

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The requried solutions with the help of the quadratic formula have been shown.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
1.
To solve the equation x² + 2x - 3 = 0 using the quadratic formula, we'll first identify the coefficients:

a = 1
b = 2
c = -3

Now we can plug these values into the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

x = (-2 ± √(2² - 4(1)(-3))) / 2(1)

x = (-2 ± √(16)) / 2

x = (-2 ± 4) / 2

This gives us two possible solutions:

x₁ = (-2 + 4) / 2 = 1

x₂ = (-2 - 4) / 2 = -3

Therefore, the solution set is {least: -3, greatest: 1}.

Similarly,
2. the solution set is {least: 3 - √(5), greatest: 3 + √(5)}.
3. the solution set is {least: -5, greatest: -1}.
4. the solution set is { -5/2, 1/2 }

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Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, 1 )

m = \(\frac{1-5}{0-4}\) = \(\frac{-1}{-1}\) = 1

Answer:

1

Step-by-step explanation:

Hi there!

\(slope=\frac{y_2-y_1}{x_2-x_1}\) where the two given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (4,5) and (0,1)

\(=\frac{5-1}{4-0}\\=\frac{4}{4}\\= 1\)

Therefore, the slope of the line is 1.

I hope this helps!

Answer:

63 degrees

Step-by-step explanation:

Angle IGH is 40 degrees because it is vertical to angle BGD.

Angle HIG is 77 degrees because it is a linear pair with CIH.

Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees

Answer:

21 cm²

Step-by-step explanation:

Applying,

A = (a+b)h/2............. Equation 1

Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.

From the diagram

Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)

Substitute these values into equation 1

A = 3(5+9)/2

A = 3(14)/2

A = 3×7

A = 21 cm²

Using elimination method, the general solution of the given system of differential equations is x = c1t³ + c2t² + 4/5(D - 3)t² and y = 4/5t²D².

The given system of differential equations is:

(7D-4)[x]+(5D-2)[y] =15t²...(i)

(4D-2)[x]+(3D-1)[y] = 9t²...(ii)

Simplifying the given system of differential equations, we get:

7Dx - 4x + 5Dy - 2y = 15t²...(iii)

4Dx - 2x + 3Dy - y = 9t²...(iv)

Multiplying equation (iii) by 3 and equation (iv) by 5, we get:

21Dx - 12x + 15Dy - 6y = 45t²...(v)

20Dx - 10x + 15Dy - 5y = 45t²...(vi)

Multiplying equation (iii) by 5 and equation (iv) by 2, we get:

35Dx - 20x + 25Dy - 10y = 75t²...(vii)

8Dx - 4x + 6Dy - 2y = 18t²...(viii)

Now, subtracting equation (viii) from equation (vii), we get:27Dx - 16x + 19Dy - 8y = 57t²...(ix)

Subtracting equation (vi) from equation (v), we get: Dx - y = 0=> y = Dx...(x)

Substituting the value of y from equation (x) into equation (iii), we get:

7Dx - 4x + 5D²x - 2Dx = 15t²=> 5D²x + 3Dx - 15t² - 4x = 0...(xi)

Now, solving the equation (xi), we get:5D²x + 15Dx - 12Dx - 4x - 15t² = 0=> 5Dx(D + 3) - 4(D + 3)(D - 3)t² = 0=> (D + 3)(5Dx - 4(D - 3)t²) = 0=> Dx = 4/5 (D - 3)t²...Putting y = Dx in equation (x), we get:y = 4/5 t² D²

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Answer:

Step-by-step explanation:

A1=BH

=15mm×7mm

=300mm2

A2=BH

=15mm×5mm

=75mm2

A3=BH

=8mm×5mm

=40mm2

A1+A2+A3=Atotal

300mm2+75mm2+40mm2=Atotal

415mm2=Atotal

Answer:

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.572 cm/min.

Step-by-step explanation:

To find the rate at which the diameter of the snowball decreases, we need to relate the surface area and the diameter of the snowball.

The surface area of a sphere is given by the formula:

A = 4πr^2

where A is the surface area and r is the radius of the sphere.

Since the diameter (d) is twice the radius (r), we can write the formula for surface area in terms of the diameter as:

A = π(d/2)^2

A = (π/4)d^2

We are given that the surface area is decreasing at a rate of 9 cm^2/min. So, we can express this rate of change as:

dA/dt = -9

where dA/dt represents the rate of change of surface area with respect to time (t).

To find the rate at which the diameter (d) decreases when the diameter is 10 cm, we need to find dd/dt (rate of change of the diameter with respect to time) when d = 10.

First, differentiate the equation for the surface area with respect to time:

dA/dt = (π/4)(2d)(dd/dt)

-9 = (π/2)(10)(dd/dt)

-9 = 5π(dd/dt)

Now, solve for dd/dt:

dd/dt = (-9)/(5π)

Using a calculator, this simplifies to approximately -0.572 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.572 cm/min.

Step-by-step explanation:

5x-4x =24

1x = 24

X = 24/1

X = 24 ans.there is no value of 1 then also I have written so u can understand.

All rectangles are square is a false statement

The given statement is false statement.

What is a rectangle and square?

A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.

We are given a statement All rectangle are squares.

As every side of a square is of equal length And only opposite sides are of equal length in rectangle

All rectangles are not square

Hence the statement is not true

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The value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation in one variable is:

4 - 3p = -5p - 24

After solving:

5p - 3p = -24 - 4

2p = -28

p = -28/2

p = -14

Thus, the value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

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1. The company needs to sell 180 vacuum cleaners to break even.

2. The company needs to sell 5,180 vacuum cleaners to make a $500,000 profit.

3. The company will make a profit of $50,000 if 500 vacuum cleaners are sold.

4. The company will make an additional profit of $10,000 for every 100 additional vacuum cleaners sold.

(1) To break even, the company's total revenue needs to equal its total cost.

The total cost consists of the overhead cost plus the cost per unit multiplied by the number of units sold.

Let's denote the number of vacuum cleaners to be sold as x:

Total cost = Overhead cost + (Cost per unit \(\times\) Number of units sold)

Total cost = $18,000 + ($150 \(\times\) x)

The total revenue is calculated by multiplying the selling price per unit ($250) by the number of units sold:

Total revenue = Selling price per unit \(\times\) Number of units sold

Total revenue = $250 \(\times\) x

To break even, we set the total cost equal to the total revenue:

$18,000 + ($150 \(\times\) x) = $250 \(\times\) x

Solving this equation will give us the number of vacuum cleaners the company needs to sell to break even.

(2) To make a $500,000 profit, we need to consider the profit as the difference between total revenue and total cost:

Profit = Total revenue - Total cost

Profit = ($250 \(\times\) x) - ($18,000 + ($150 \(\times\) x))

We can set this equation equal to $500,000 and solve for x to find the number of vacuum cleaners the company needs to sell.

(3) To find the profit when 500 vacuum cleaners are sold, we substitute x = 500 into the profit equation:

Profit = ($250 \(\times\) 500) - ($18,000 + ($150 \(\times\) 500))

(4) To determine the additional profit for every 100 additional vacuum cleaners sold, we need to calculate the difference in profit between selling x vacuum cleaners and selling x + 100 vacuum cleaners:

Additional Profit = Profit (x + 100) - Profit (x)

By evaluating the profit equation for both x and x + 100, we can find the difference.

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The work done by a force can be calculated by taking the dot product of the force vector with the displacement vector whether the force and displacement vectors are consecutive or anti-congruent.

The formula of the dot product is-

A ⋅ B = |A| |B| cos(θ)

Here A and B are the vectors  |A| and |B| which represent their magnitudes, and θ is the angle between them.

The angle between the force and displacement vectors is either 0 degrees (cos(0) = 1) or 180 degrees (cos(180) = -1) depending on whether they are parallel or antiparallel. The dot product becomes: in these circumstances.

A ⋅ B = |A| |B| (1) = |A| |B| (cos(0)) = |A| |B|

When the vectors are parallel or antiparallel, the angle is 0 or 180 degrees, respectively, and the cosine term is 1 or -1. This occurs since work done is defined as the dot product of the force and displacement vectors multiplied by the cosine of the angle between them.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The radius of the cylinder exists 1.93mm.

Let V be the volume of the cylinder exists 200 mm³

r be the radius

h be the height exists 17

Volume of cylinder, V = π r²h

200 = π r² (17)

200 = 53.40707 r²

200 =  53.41 r²

simplifying the above equation, we get

r² = 200/53.41

r² = 3.74461 = 3.74

r² = 3.74

r = 1.933907961 = 1.93

Therefore, r = 19.3

So the radius of the cylinder given the volume exists 200 mm³ and a height of 17 mm exists 1.93 mm.

Therefore, the radius of the cylinder exists 1.93mm.

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The distance from the sun to the other focus is 5.01 × 10⁹ m.

(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;

2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.

(b) To express this in terms of solar radii, we set up a ratio;

(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2

Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.

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Complete question is;

The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.

Answer:

20.24

Step-by-step explanation:

Recall SOH, CAH, TOA and realize that TOA is the easiest one

we have

\(tan(39)=\frac{x}{25}\\tan(39)*25=x\\20.24=x\)

Answer:

1st option

Step-by-step explanation:

The solution to f(x) = g(x) is at the points of intersection of the 2 graphs

The graphs intersect at

x = - 3.5 and x = - 0.5 ← solutions

Answer:

g=12

Step-by-step explanation:

divide both sides by 13

13g=156

g=156/13

g=12

Answer:

No

Step-by-step explanation:

To be a function, there can only be 1 output for each input.

3/4 has two outputs (3 and 5), so this is not a function.

The number of ways to plan her schedule of menus for the 20 school days is 10^20.

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.

For each day, there are ten different choices for what she will cook that day. 20 decisions are made, one for each day with ten different possibilities for each choice.

The complete question is: A school cook plans her calendar for the month of February in which there are 20 school days. She plans exactly one meal per school day. Unfortunately, she only knows how to cook ten different meals.

How many ways are there for her to plan her schedule of menus for the 20 school days if there are no restrictions on the number of times she cooks a particular type of meal?

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Answer:

The mean is 7 nd the median is 8

Step-by-step explanation:

Answer:

It would be negative 13 because if add a positive nine to a negative 22 you get negative 13.

Step-by-step explanation: