Hector is visiting a cousin who lives 390 miles away. He has driven 60 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

Answer:

233982

Step-by-step explanation:

Answer:

233,982

Step-by-step explanation:

222840x0.05=11142

222840+11,142= 233,982

The answer is (1,-5), If you put those two on a graph, that point is where they collide.

Answer:

b(3b−10)(b−1)

Step-by-step explanation:

b(3b−10)(b−1)

Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

Answer:

a

Step-by-step explanation:

y-2/x+3= -4

-4x-12=y-2

y=-4x-12+2

y=4x-10

1 yard = 3 feet

3ft * 2 yards = 6 feet

$1.26 / 6ft = $0.21 / ft

The probability of the die falling on "six" for the first time on the last throw is (5/6)^3 * (1/6).

a. To calculate the probability of the die falling on "six" just once in four throws, we can use the binomial probability formula.

The probability of a success (getting a "six") in a single throw is 1/6, and the probability of failure (not getting a "six") is 5/6. Since we want exactly one success, the formula is:

P(exactly one "six") = (number of ways to choose one success) * (probability of success) * (probability of failure)^(number of failures)

Using this formula, we have:

P(exactly one "six") = (4 choose 1) * (1/6) * (5/6)^(3)

Calculating this probability:

P(exactly one "six") = (4! / (1! * 3!)) * (1/6) * (5/6)^3 = 4 * (1/6) * (5/6)^3 ≈ 0.1608 or 16.08%

b. To calculate the probability of getting at least one "six" in four throws, we can use the complement rule. The probability of not getting any "six" in a single throw is 5/6. Therefore, the probability of not getting any "six" in all four throws is (5/6)^4. To find the probability of getting at least one "six," we subtract this probability from 1:

P(at least one "six") = 1 - P(no "six") = 1 - (5/6)^4

Calculating this probability:

P(at least one "six") = 1 - (5/6)^4 ≈ 0.5177 or 51.77%

c. To calculate the probability of getting a "six" for the first time on the last throw, we need to calculate the probability of not getting a "six" in the first three throws and then getting a "six" on the fourth throw. Since the probability of not getting a "six" in a single throw is 5/6, we have:

P(first "six" on the last throw) = (probability of no "six" in first three throws) * (probability of "six" on the fourth throw)

P(first "six" on the last throw) = (5/6)^3 * (1/6)

Calculating this probability:

P(first "six" on the last throw) = (5/6)^3 * (1/6) ≈ 0.0694 or 6.94%

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Answer:

-6

Step-by-step explanation:

-6 is the answer .

Hope it helps you

Answer:

-6

Step-by-step explanation:

Answer:

4/10 or 0.4

Step-by-step explanation:

I just need 20 charecters

Answer:

slope = 0.4

Step-by-step explanation:

HOPE THIS HELPS :)

The approximate total population of California and Texas is 40.646 × 10^7, option A.

To find the approximate total population of California and Texas, we add the population of both states. The population of California is 38,040,000, and the population of Texas is 2.606 × 10^7. Adding these two numbers gives us a total population of approximately 40.646 × 10^7.

Option A, 40.646 × 10^7, is the closest approximation to the total population and is the correct answer. Option B, 40.646 × 10^6, is one order of magnitude smaller and does not represent the combined population accurately. Option C, 6.410 × 10^7, is much smaller than the actual total population. Option D, 6.410 × 10^14, is much larger than the actual total population.

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The area of rectangle DEFG is 16 square units and its perimeter is 12 units.

To find the area, we can use the formula: Area = length x width We can find the length and width by calculating the distance between the coordinates of opposite sides of the rectangle.

Length = EF =

\( \sqrt{} ((2-1)^2 + (1-3)^2)\)

=

\( \sqrt{} (2 + 4) = \sqrt{} (6)\)

Width = DG =

\( \sqrt{} ((-3+2)^2 + (1+1)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)

The area of rectangle DEFG = length x width =

\( \sqrt{} (6) x \sqrt{} (6)\)

= 6 x 2 = 16 square units.

To find the perimeter, we can add up the lengths of all four sides: Perimeter = DE + EF + FG + GD

DE =

\( \sqrt{} ((1+3)^2 + (-3+(-1))^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)

EF =

\( \sqrt{} ((2-1)^2 + (1-3)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)

FG =

\( \sqrt{} ((2+2)^2 + (1+1)^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)

GD =

\( \sqrt{} ((-2+3)^2 + (-1-1)^2) = \sqrt{} (1 + 4) = \sqrt{} (5)\)

The perimeter of rectangle DEFG =

\( \sqrt{} (20) + \sqrt{} (6) + \sqrt{} (20) + \sqrt{} (5) \)= 12 units.

Hence, The area of the rectangle is 16 square units and the perimeter is 12 units.

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Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

The magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m². The magnitude of the torque acting on the coil is approximately 0.068 N·m.

(a) To find the magnitude of the magnetic dipole moment (M) of the coil, we can use the formula M = NIA, where N is the number of turns, I is the current flowing through the coil, and A is the area of the coil. For the circular coil, the area is given by A = πr², where r is the radius. Substituting the values N = 21, I = 11.8 mA = 0.0118 A, and r = 4.8 cm = 0.048 m, we can calculate the magnetic dipole moment as M = NIA = 21 * 0.0118 * π * (0.048)² ≈ 0.079 A·m².

(b) The torque acting on the coil can be calculated using the formula τ = M x B, where M is the magnetic dipole moment and B is the magnetic field strength. The magnitude of the torque is given by |τ| = M * B, where |τ| is the absolute value of the torque. Substituting the values M ≈ 0.079 A·m² and B = 0.350 T, we can calculate the magnitude of the torque as |τ| = M * B ≈ 0.079 A·m² * 0.350 T ≈ 0.068 N·m.

Therefore, the magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m², and the magnitude of the torque acting on the coil is approximately 0.068 N·m.

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Answer:

5a^2 + 22a + 8

Step-by-step explanation:

As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values

The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.

In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).

The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.

This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.

The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.

These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.

By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.

Therefore, option (a) is correct.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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Answer:

12 cups of flour needed for 8 tablespoons of sugar

Step-by-step explanation:

2 times 4 = 8

4 times 3 equals 12

The ratio of coins to notes in a bag is 3 to 8.

The total number of coins is 24.

Let there be y number of notes in the bag. Then we can write,

On solving we get,

Thus there are 64 notes in the bag.

The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.

The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.

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Answer:

D

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

x in (-oo:+oo)

x/8 = 0.625 // - 0.625

x/8-0.625 = 0

1/8*x-0.625 = 0 // + 0.625

1/8*x = 0.625 // : 1/8

x = 0.625/1/8

x = 5

x = 5

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

x = 5

Step-by-step explanation:

First convert the decimal to an improper fraction

That's

So we have

Multiply through by 8

That's

We have the final answer as

Hope this helps you

Answer:

5x - 4y = -20

y = x + 5

y = -x + 5

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b, with b being the y-int.

If the equation does not have an x, y, or b, it is not a slope-intercept form.

5x - 4y = -20 (can be rearranged to y = 5/4x + 5)

y = 1, x = 5/4, b = 5

y = x + 5y

x = 1, y = 1, b = 5

y = -x + 5

x = -1, y = 1, b = 5.

Other answer choices does not have all three variables.

The solution to the multiplication 125 * 4 given the sample multiplication is; C) 500

We are given the following multiplications;

50 * 4 = 200

75 * 4 = 300

Now, we want to multiply 125 * 4

This can also be expressed in form of its factors as;

25 * 5 * 4

From 50 * 4 = 200, we can factorize to get;

25 * 2 * 4 = 200

25 * 4 = 200/2

Similarly, 75 * 4 = 300 can be factorized as;

15 * 5 * 4 = 300

Thus;

5 = 300/(15 * 4)

Thus;

25 * 5 * 4 = 25 * 4 * 5 can then be expressed as;

(200/2) * (300/(15 * 4))

= 100 * 5

= 500

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The given value, 55%, is a statistic. A statistic is a numerical summary of a sample.

To determine whether it is a statistic or a parameter, we need to understand the definitions of these terms:

- Statistic: A statistic is a numerical value that describes a sample, which is a subset of a population. It is used to estimate or infer information about the corresponding population.

- Parameter: A parameter is a numerical value that describes a population as a whole. It is typically unknown and is usually estimated using statistics.

In this case, since the study includes all 3237 seniors at the college, the value "55%" represents the proportion of the entire population of seniors who own a computer. Therefore, it is a statistic.

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Answer:

45:36:50

Step-by-step explanation: