Eric´s mother drives to work in 20 min when driving at her usual speed. When traffic is bad, she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric´s mother´s usual speed?

Based on the graph of the function g(x) = −2x − 8, the x-intercept is equal to -4.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

By critically observing the graph of g(x) = −2x − 8, the x-intercept is -4. This ultimately implies that, the function g(x) = −2x − 8 would cross the x-coordinate (x-axis) at point (-4, 0.

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Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

The area of the canvas is 12 square inches and the minimum selling price is (a) $1.30

Here, we have

A rectangular frame that is 3 inches by 4 inches:

This means that

So, we have

Area = Base * Height

So, we have:

Area = 3 * 4

Evaluate

Area = 12

Hence, the area, in square inches, of the canvas is 12 sq inches

Start by calculating the Revenue using

Profit = Revenue - Cost

Where

Profit = 420

Cost = 400 * 0.25 = 100

So, we have

Revenue - 100 = 420

Revenue = 520

For the minimum selling price, we have

Minimum = Revenue/Number of brownies

So, we have

Minimum = 520/400

Evaluate

Minimum = 1.30

Hence, the minimum selling price is $1.30

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Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer: 52.5

Step-by-step explanation:

35 dollars 30% off is $24.5, 27 dollars 30% off is $18.90, and 13 dollars 30% off is $9.10 so all together it equals 52.5.

The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws

The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.

This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.

In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.

The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.

In response to the query,

The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct

The question is incomplete , the complete question is

The Gambler's Fallacy is due to

(1) greed.

(2) bad luck.

(3) failing to treat each throw of the dice as independent of previous throws.

(4) treating each throw of the dice as independent of previous throws.

(5) regression toward the mean.

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Answer:

$4.64

Step-by-step explanation:

24.76-1.56= 23.20

23.20/5= 4.64

so the other 5 people had to pay $4.64

hope this helps :)

The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.

Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.

Volume of rectangular closet = Number of boxes * Volume of 1 cubical box

6 * 9 * 5 = n * (1*1*1)

Therefore, n = 270 boxes.

To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.

Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height

Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.

Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.

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A linearly independent set that generates the subspace of diagonal matrix in M2x2(F) is {[1,0;0,0], [0,0;0,1]}.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a, b∈F.

A linearly independent set of vectors that generate this subspace is {[1,0;0,0], [0,0;0,1]}. Any diagonal matrix can be written as a linear combination of these two vectors.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a,b∈F. This means that all the diagonal entries in the matrix must be non-zero. To find a linearly independent set that generates this subspace, we can start by considering the simplest form of a diagonal matrix, which is [1,0;0,0]. This vector is linearly independent, as it cannot be expressed as a linear combination of any other vector in the space. Similarly, [0,0;0,1] is also linearly independent, as it can't be expressed as a linear combination of any other vector.

These two vectors form a linearly independent set that generates the subspace of diagonal matrices in M2x2(F). Any diagonal matrix can be written as a linear combination of these two vectors. For example, the matrix [2,0;0,3] can be expressed as 2[1,0;0,0]+3[0,0;0,1]. Thus, this set of vectors is sufficient to generate the entire subspace.

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The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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9514 1404 393

Answer:

Step-by-step explanation:

The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.

For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.

__

Here, we'll list the growth factor and the rate of change:

  growth factor ⇒ rate of change

  0.8 ⇒ 20% decay

  1.4 ⇒ 40% growth

  0.2 ⇒ 80% decay

  0.6 ⇒ 40% decay

  1.6 ⇒ 60% growth

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:7x

Step-by-step explanation:because you can’t multiply them like 2*2 so you just put them together

Answer:

since we don't have to go back in and you can come over you

Answer:

25 pieces

Step-by-step explanation:

12.5 * 16= 200 ounces

therefore 200/8=25

Answer:

attached below

Step-by-step explanation:

minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75

(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.

Here,

An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.

The distance between two complex numbers a + bi and c + di can be found using the formula:

√((c - a)² + (d - b)²)

So, the distance between 3-2i and 6-i is:

√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10

And the distance between 3-2i and c is:

√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)

Since these distances must be equal, we have:

√((c - 3)² + (c + 2)²) = √10

Squaring both sides:

(c - 3)² + (c + 2)² = 10

Expanding both sides:

c² - 6c + 9 + c² + 4c + 4 = 10

Combining like terms:

2c² + 10c + 5 = 10

Subtracting 10 from both sides:

2c² + 10c - 5 = 0

This is a quadratic equation, which can be solved using the quadratic formula:

c = (-b ± √(b² - 4ac)) / 2a

Where a = 2, b = 10, and c = -5. Plugging these values into the formula:

c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2

c = (-10 ± √(100 + 40)) / 4

c = (-10 ± √(140)) / 4

c = (-10 ± 10√2) / 4

So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.

The product of these two solutions is:

c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)

= (100 - 100√2 + 100) / 16

= (200 - 100√2) / 16

(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.

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The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Answer:

Step-by-step explanation:

m(x) =2^x+1 increases / positive infinity

n(x) =10^x^-2+5 decreases / the line y=5

p(x) =-e^x-2 increases / the line y=-2

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Since two side sides of the triangle and an angle is known, we apply the Cosine rule

Formula for Cosine rule is given below,

Where a is distance between the house and pier,

b is the distance between the house and restaurant,

c is the distance between the pier and the restaurant,

C is the angle opposite c

Substituting the variables into the given formula above,

Hence, the distance from the pier to the restaurant is 2.19 miles.

Answer:

The answer is 7

Step-by-step explanation:

Answer:

I think C. is it

Step-by-step explanation:

The cosine of the angle opposite the side of length 5.64 meters is 0.4536.

In a triangle, the cosine of the angle opposite a side is given by the formula:

cos(angle) = (a^2 + b^2 - c^2)/(2ab) where a, b, and c are the lengths of the sides of the triangle and angle is the angle opposite the side of length c. Given the side lengths of the triangle as 3.18 meters, 7.82 meters and 5.64 meters, the side opposite angle we want to find is 5.64 meters.

so we can use the above formula and substitute the values,

cos(angle) = (3.18^2 + 7.82^2 - 5.64^2)/(23.187.82) = 0.4536

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We were given a graph that represent the price in function of the number of flowers, we were also given a point on the graph, and from that, the question asks us to calculate the unit rate.

The unit rate is a constant that describes the relationship between two variables, and how they vary. For our case, the unit rate will describe the price per flower. To solve this problem, we need to divide 3 by 5.

The unit rate is equal to 0.6 $/flower.

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft