Convert 11.2 kilometres into miles.
Use
8 km = 5 miles

-1

Step-by-step explanation:

..................

The expression represents women more than men (in millions) were enrolled in colleges in the united states is 2001 is (d) 0.13(26)-1.25.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

M(t)=0.08t+6.18 represents the number of men enrolled.

W(t)=-0.21t+4.93 represents the number of women enrolled.

t =represents the number of years after 1975.

for year 2001: t = 2001 - 1975 = 26 years

Women than men Enrolled in college in 2001=?

Total no. of women more than men= W(t) - M(t)= (0.21t+4.93) - (0.08t+6.18)= 0.13t - 1.25

Total number of Women more than men is 0.13t - 1.25 millons.

Total number of Women more than men in 2001 is 0.13(26) - 1.25 millons.

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Complete Question is:

Jason research the number if women and men enrolled in colleges in the united states.

w(t)=-.21t+4.93 represents the number of women enrolled,

m(t)=0.08+6.18 represents the number of men enrolled,

t represents the number of years after 1975

which expression represents how many more women than men (in millions) were enrolled in colleges in the united states in 2001.

A)  0.39(2001) + 11.11

B)  0.39(26) +11.11

C)  0.13(2001) - 1.25

D) 0.13(26) - 1.25

The volume of the region is 480 cubic units.

Given the region that is defined as-1 ≤ y ≤ -z - z + 2, z2 ≤ x2 + y2 ≤ 202

Let's evaluate the following integral to find the volume of the region: V = ∫∫∫ dV

Here, the limits of integration for z are 0 and 20.

Limits of integration for y are -1 and -z - z + 2, which can be simplified to -2z + 2.

Limits of integration for x are -√(400 - y2) and √(400 - y2).

Therefore, the integral becomes V = ∫₀²₀ ∫₋₂ᶻ⁺²₋₂ᶻ⁺²₀ ∫₋√(400-y²) ᵠ√(400-y²) dy dx d

a) Let's first evaluate the innermost integral.

Therefore, we integrate with respect to y. ∫₋√(400-y²)ᵠ√(400-y²) dy = y |√(400-y²) ᵠ√(400-y²)=-√(400- ᶻ²) + √(400- ᶻ²)=-2 √(400 - ᶻ²)

Here, N = 2

b) Next, let's use the answer to part (a) to evaluate the second integral.

V = ∫₀²₀ -2 √(400 - ᶻ²) dz= [-2/3 (400- ᶻ²)^(3/2)] ₀²₀= (-2/3) [(400 - 400)^(3/2) - (400)^(3/2)]= -12.0c)

Finally, let's compute V by evaluating the outermost integral.

V = ∫∫∫ dV= ∫₀²₀ ∫₋₂ᶻ⁺²₋₂ᶻ⁺²₀ -12.0 dzdx = ∫₀²₀ [12 (z - 10)] dx= [12x(z - 10)] ₀²₀= 480

Hence, the volume of the region is 480 cubic units.

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Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

(3x+1)^2 + 2(3x+1) - 4

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1

No, Billy will not be able to reach the border before the cops arrive in 9 minutes.

To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.

Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.

Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.

time = 1.9 km / 13 km/h = 0.146 hours

To convert hours to minutes, we multiply by 60:

0.146 hours * 60 minutes/hour = 8.76 minutes

Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.

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The simplest form of the given expression is 5x^3-5x^2.

We have given that

\(2x^3 - x^2 + 3 (x^3 - 4x^2)\)

We have to determine the simplest form of the given expression.

The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.

Use the distributive property we get,

\(2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\\)

Add like terms we get,

Therefore we get,

\(=5x^3-5x^2\)

Therefore the simplest form of the given expression is 5x^3-5x^2.

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The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

Step-by-step explanation:

use known angles and rules to find unknown values

vertical angles (pairs of angles on opposite sides of an intersection) are equivalent

supplementary angles (angles found next to each other on a line) add up to 180 degrees

opposite interior angles are equivalent

And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"

using these rules you can find all missing angles.

1= 75

2=180-75=105

let me know if you need more help than this

Answer:

36/40 or 90%

Step-by-step explanation:

First convert it to a fraction, which in this case is 36/40.

To find the percentage, we need to find an equivalent fraction with the denominator of 100. Multiply both numerator & denominator by 100.

36/40 × 100/100

= (36 × 100/40) × 1/100 = 90/100

Therefore, the answer is 90%.

If you are using a calculator, simply enter 36÷40×100, which will give you 90 as the percentage.

To find the rate of change of temperature at point P(2, -2, 2) in the direction toward point Q(3, -4, 3).

we need to calculate the gradient of the temperature function at point P and then find its projection onto the direction vector PQ.

1. Calculate the gradient of the temperature function:

The gradient of T(x, y, z) is given by:

∇T = (∂T/∂x)i + (∂T/∂y)j + (∂T/∂z)k

Taking partial derivatives of T(x, y, z) with respect to x, y, and z:

∂T/∂x = -2600xe^(-x^2-2y^2-z^2)

∂T/∂y = -5200ye^(-x^2-2y^2-z^2)

∂T/∂z = -2600ze^(-x^2-2y^2-z^2)

Evaluate the partial derivatives at point P(2, -2, 2):

∂T/∂x = -5200e^(-8)

∂T/∂y = 10400e^(-8)

∂T/∂z = -5200e^(-8)

2. Calculate the direction vector PQ:

PQ = Q - P = (3 - 2)i + (-4 - (-2))j + (3 - 2)k = i - 2j + k

3. Find the rate of change of temperature at point P in the direction toward point Q:

D-f(2, -2, 2) = ∇T · PQ

              = (∂T/∂x)i + (∂T/∂y)j + (∂T/∂z)k · (i - 2j + k)

              = -5200e^(-8)i + 10400e^(-8)j - 5200e^(-8)k · (i - 2j + k)

              = -5200e^(-8) + 20800e^(-8) + (-5200e^(-8))

              = 10400e^(-8)

Therefore, the rate of change of temperature at point P(2, -2, 2) in the direction toward point Q(3, -4, 3) is 10400e^(-8).

2. To find the direction in which the temperature increases fastest at point P, we need to find the direction vector of the gradient at point P.

At point P(2, -2, 2):

∇T = -5200e^(-8)i + 10400e^(-8)j - 5200e^(-8)k

So, the direction in which the temperature increases fastest at point P is (-5200e^(-8))i + (10400e^(-8))j - (5200e^(-8))k.

3. To find the maximum rate of increase at point P, we need to calculate the magnitude of the gradient at point P.

At point P(2, -2, 2):

∇T = -5200e^(-8)i + 10400e^(-8)j - 5200e^(-8)k

The magnitude of ∇T is given by:

|∇T| = sqrt((-5200e^(-8))^2 + (10400e^(-8))^2 + (-5200e^(-8))^2)

     = sqrt(270400

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Answer:

13,600 feet above sea level

Step-by-step explanation:

The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level

Answer:

-60

Step-by-step explanation:

substitute x with -5

12 (-5) = 60

Answer:

Step-by-step explanation:

12 times (-5)

= (-60)

or 12 x -5

= -60

Answer:

Read below.

Step-by-step explanation:

There is an infinite amount of numbers larger than 0.68 but here are some for you:

1, 2, 3.4, 4.1289, 190, 2198, 0.7, 0.72578

Answer:

slope of staircase 1= 3/5

slope of staircase 2= -2/3  (i only put negative because the staircase is going upward in the left direction, but you can be the judge of whether it's positive or negative)

Step-by-step explanation:

hope this helps :)

The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

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Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let \(M(a) = 40.8-1.1\cdot a\), where \(a\) is the age of the dairy cow, measured in years, and \(M(a)\) is the predicted milk production, measured in gallons per week.

Besides, we consider \(a_{1}\) and \(a_{2}\), such that \(a_{1}\ne a_{2}\), we define the difference between predicted milk productions (\(\Delta M\)) below:

\(\Delta M = -1.1\cdot (a_{2}-a_{1})\) (1)

If we know that \(a_{1} = 5\,yr\) and \(a_{2} = 10\,yr\), then the difference between predicted milk productions is:

\(\Delta M = -1.1\cdot (10-5)\)

\(\Delta M = -5.5\,\frac{gal}{week}\)

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

The solution to the equation is -4. The number line has been attached below. The solution has been obtained by using algebraic equation.

What is algebraic equation?

A mathematical phrase is said to as "algebraic" if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). The expression must satisfy the algebraic equation, and it must have an equals to sign.

We are given an equation as 6 = 10 + t

On solving this, we get

⇒6 = 10 + t

⇒t = -4

The number line representing the solution to the equation has been attached below.

Hence, the solution to the equation is -4.

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The cost C (in dollars) for ordering and storing x units is C= 2x+ 500,000/x. So, by using calculus technique we get that an order size of 500 units will produce a minimum cost.

To find the order size that will produce a minimum cost, we need to take the derivative of the cost function with respect to x and set it equal to zero. Then we can solve for x.

C(x) = 2x + 500,000/x

C'(x) = 2 - 500,000/x^2

Setting C'(x) equal to zero, we have:

2 - 500,000/x^2 = 0

Solving for x, we get:

x^2 = 500,000/2

x = \(\sqrt{(250,000)\)

x ≈ 500

Therefore, an order size of 500 units will produce a minimum cost.

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The expected number of balls in the first bin would be (1/n)^n

It is given that,

The number of balls and bins is same

If so, then there should always be one ball in each container. The likelihood that every ball will land in the first bin is (1/n)^n.

For example -

Let there be three balls and three bins. Put an A, B, and C next to each ball. The bins are marked 1, 2, and 3. Ball A is likely to land in bin 1 with a 1/3 chance. However, there is a 1/3 chance that ball B will land in bin 1, and there is a 1/3 chance that ball C will land in bin 1. As a result, bin 1 should have a value of 1/3 + 1/3 + 1/3 = 1. The expected values of bins 2 and 3 follow a similar rationale.

By the same reasoning, bins 2 and 3 should likewise have anticipated values of 1.

How likely is it that all three balls will fall into bin one?

1/3 x 1/3 x 1/3 = 1/27, or in the general situation, (1/n)^n, which equals (1/3)^3.

Hence, the expected number of balls in the first bin would be (1/n)^n

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The distance between the two cities, Ottawa and Toronto, as determined by Greg and Max is 280.37 miles.

What is a Speedometer?

What is Distance?

How is Distance Calculated?

The distance between two locations can be calculated using the formula,
d = s x t,------ (1)

where \(d\) is the distance travelled, \(s\) is the average speed, and \(t\) is the total time.

In the given question, it is given that Greg and Max travel from Ottawa to Toronto with an average speed of 40 mph and 30 mph for the return trip.

So, \(s_{1}=40 mph\) and \(s_{2}=35mph\).

The total travelling time for the round trip, T = 15h  ------(2)

Let the distance from Ottawa to Toronto be x.

From (1), we get that, the formula for the time taken is,

\(t=\frac{d}{s}\)

So, the time taken to travel from Ottawa to Toronto,

\(t_{1} =\frac{d}{s_{1} } \\\implies t_{1} =\frac{x}{40}\)      ------- (3)

And, the time taken for the return trip (back from Toronto to Ottawa),

\(t_{2} =\frac{d}{s_{2} } \\\implies t_{2} =\frac{x}{35}\)      --------(4)

Here, the total time travelled from the round trip is equal to the sum of the time taken to travel from Ottawa to Toronto and back from Toronto to Ottawa.

T = t_1 + t_2------(5)

Substituting the values of (2), (3), and (4) in (5), we get

15 = x/40 + x/35
--> 15 = 0.0535x

Simplifying,

x = 15/0.0535
--> x = 280.37 miles

Therefore, the distance between the two cities as determined by Greg and Max is equal to 280.37 miles.

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Answer:

4p+3

Step-by-step explanation:

Because 4 has the variable p next to it, 4 can not be the same as 6 or 3 because they are whole numbers. So the only thing you can do here is 6-3, which is 3.

Answer:

31764 is the answer ....

Hope it helps!!!

Answer: 12,600 + 31,764

Step-by-step explanation:

Answer:

-35 and 7

Step-by-step explanation:

7 - 35 = -28

35 has a (-) sign, and 7 has a (+) sign

Addition can be defined as the process of adding two numbers. The two integers with different signs that have a sum of -28 are -29 and 1.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

An integer is a number that can be written without using a fractional component.

Given that the two integers with different signs have a sum of -28. Therefore, we can write,

Hence, the two integers with different signs that have a sum of -28 are -29 and 1.

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The total cost of the things bought from the grocery store is $23.5.

The total cost will be calculated thus:

Cheese: = $2.99 × 0.5 = $1.495

Sliced ham = $4.29 × 2 = $8.58

Bread = $2.49 × 2 = $4.98

Chips = $3.00 + $1.99 = $4.99

Salsa = $6.78

Total cost = $26.82

There's a $4.00 coupon off. The value will be:

= $26.82 - $4.00

= $22.82.

Total cost with sales tax = $22.82 + ( 3% × $22.82) = $23.5

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Linear Pair of Angles: two angles that form a straight line - they are supplementary.A linear pair of angles refers to two adjacent angles that add up to 180 degrees.

It is important to note that the sum of the angles in a linear pair of angles will always equal 180 degrees. A linear pair of angles must be adjacent, meaning that they share a common vertex and a common side but no other interior points.

Linear pairs of angles can be used to solve problems involving complementary, supplementary, and vertical angles. Since they add up to 180 degrees, they are considered to be supplementary angles. This is because supplementary angles are two angles that add up to 180 degrees.

Therefore, a linear pair of angles is also supplementary because it contains two adjacent angles that add up to 180 degrees. In other words, if two angles form a straight line, then they are considered to be supplementary.

The use of linear pairs of angles is prevalent in geometry problems involving parallel lines, triangles, and polygons.

The concept of a linear pair of angles is also important in understanding the different types of angles, including acute, obtuse, and right angles. For instance, an acute angle can form a linear pair with an obtuse angle, while a right angle can only form a linear pair with another right angle.

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The property that is illustrated by the given statement is called: A. Transitive property of equality.

The transitive property of equality states that, if two quantities, a and b, are equal to each other, and the second quantity, b, is equal to a thrid quantity, c, then, the first quantity equals the third quantity (a = c).

Using the same logic, ΔABC ≅ ΔXYZ.

Therefore, the property that is illustrated by the given statement is called: A. Transitive property of equality.

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Answer:

2

Step-by-step explanation:

2^3= 2*2*2

factors of 8= 1,2,4,8

factors of 2= 1,2

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1