After leaving his house, Milton drove 25 minutes to take his oldest son to the middle school and then drove 15 minutes to take his two younger daughters to the elementary school. Next, Milton drove 35 minutes to work. If Milton arrived at work at 9:15 a.M., what time did he leave his house?

Answer:

B and C

Explanation:

Number of the problems in total = 20

Number that he has finished = 4

So, the number of homework Thomas still needs to complete

=20-4

=16

Expressing this as a percentage, we have:

Therefore, the equivalent of the percentage obtained above are:

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3

The break-even point in units per month is 800.

To calculate the break-even point, we need to determine the number of units at which the revenue equals the total cost. In this case, the fixed cost per month is $4,800, and the variable cost per widget is $9. The selling price per widget is $15.

Let's assume the break-even point is x units:

Total Revenue = Total Cost

The total revenue is given by the selling price multiplied by the number of units: 15x

The total cost is the sum of the fixed cost and the variable cost per unit multiplied by the number of units: 4,800 + 9x

Setting the total revenue equal to the total cost, we have:

15x = 4,800 + 9x

Simplifying the equation, we subtract 9x from both sides: 6x = 4,800

Finally, dividing both sides by 6, we find the break-even point:

x = 4,800 / 6 = 800

Therefore, the break-even point in units per month is 800. This means that the company needs to sell 800 widgets per month to cover all costs and break even.

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Answer: D. W

Step-by-step explanation:

Graph W is the only graph that intersects the right of x, so if you increase the value of the equation, the value of x increases.

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Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer:

A, C, and E.

Step-by-step explanation:

I looked up what half a mile was in meters, yards, and feet, and it told me these were the right answers.

The equivalent to 1/2 mile:

A. 804.5 meters

C. 880 yards

E. 2,640 feet

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

To convert 1/2 mile to other units of distance:

1/2 mile = 0.5 mile

A. 804.5 meters ≈ 0.5 miles

(1 mile ≈ 1609 meters, so 0.5 miles ≈ 804.5 meters)

B. 845 meters ≈ 0.524 miles (1 mile ≈ 1609 meters, so 845 meters ≈ 0.524 miles)

C. 880 yards ≈ 0.5 mile (1 mile = 1760 yards, so 0.5 mile = 880 yards)

D. 3,520 yards ≈ 2 miles (1 mile = 1760 yards, so 2 miles = 3520 yards)

E. 2,640 feet ≈ 0.5 mile (1 mile = 5280 feet, so 0.5 mile = 2640 feet)

F. 10,560 feet ≈ 2 miles (1 mile = 5280 feet, so 2 miles = 10560 feet)

Therefore, the distances that are equivalent to 1/2 mile are A, C, E.

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Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

The rate of change is negative 1.25. The negative of 1.25 represents 1.25 feet is drain every hour. The number 1 represents 1 foot of water that is already present in the pool.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The Gutierrez family and the Kim family both have pools.

The Gutierrez family is filling their pool, which is modeled by the equation

y = x + 1

The Kim family is draining their pool, which is modeled by the equation

y = -1.25x + 5

In both equations, x represents the time in hours and y represents the depth of the water in the pool in feet.

These two situations can be described by the following system of equations:

Then the rate of change for the Kim family's pool will be

Rate of change = -1.25

The negative of 1.25 represents 1.25 feet is drain every hour.

Looking at the equation for the Gutierrez family's pool.

y = x + 1

The number 1 represents 1 foot of water that is already present in the pool.

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The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

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Answer:

(0.5,3.5)

Step-by-step explanation:

First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:

from (-2,9) to (3,-2)

from (-5, 6) to (6,1)

To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0

For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is

(-2-9)/(3-(-2)) = -11/5

Therefore, our equation is

y= (-11/5)x + b

To solve for b, we can plug a point in, like (3,-2). Therefore,

-2=(-11/5)*3+b

-2=-33/5+b

-10/5=-33/5+b

add 33/5 to both sides to isolate b

23/5=b

Our equation for one diagonal is therefore y=(-11/5)x+23/5

For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have

1=(-5/11)*6+b

11/11 = -30/11 + b

add 30/11 to both sides to isolate b

41/11 = b

our equation is

y = (-5/11) x + 41/11

Our two equations are thus

y = (-5/11) x + 41/11

y=(-11/5)x+23/5

To find where they intersect, we can set them equal to each other

(-11/5)x+23/5 = y = (-5/11) x + 41/11

(-11/5)x + 23/5 = (-5/11)x + 41/11

subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients

(-11/5)x + (5/11)x = 41/11-23/5

11*5 = 55, so 55 is one value we can use to make the denominators equal.

(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)

(-121/55)x+(25/55)x = (205/55) - (253/55)

(-96/55)x = (-48/55)

multiply both sides by 55 to remove the denominators

-96x=-48

divide both sides by -96 to isolate x

x=-48/-96=0.5

plug x=0.5 into a diagonal to see the y value of the intersection

(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5

The Misfit of Demon King Academy

Answer:

There's no proportional relationship between number of laps and minutes.

Step-by-step explanation:

The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.

So therefore, the relationship between the x and y cannot be proportional.

We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.

Answer:

\(x=\frac{21}{4}\)

Explanation:

\(\frac{2x+3}{15}\cdot \:10=\frac{9}{10}\cdot \:10\)

\(2x+3-3=\frac{27}{2}-3\)

\(\frac{2x}{2}=\frac{\frac{21}{2}}{2}\)

\(x=\frac{21}{4}\)

\(=5,25\)

(Its the same as the answer above; though I wrote in fraction equation)

Answer:

c: on a number line, c is to the left of d

The probability that a randomly selected person is male given the person is left-handed is 13/200.

Option A is the correct answer.

We have,

Number of total people.

= 87 + 13 + 89 + 11

= 200

Now,

The number of males who is left-handed.

=  13

Now,

The probability that a randomly selected person is male given the person is left-handed.

= 13/200

Thus,

The probability that a randomly selected person is male given the person is left-handed is 13/200.

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Answer:

They are

Step-by-step explanation:

one of the angles is the same

Answer: These triangles are NOT similar. If these triangles were similar, all the angles would have to be equal. Therefore, the angles in each triangle would be 47, 56, and 71 degrees. When we sum 47 + 56 + 71, we get 174 which is not equal to 180 degrees. Therefore, these triangles are NOT similar.

Answer:

The correct answer is (A).

Step-by-step explanation:

Because the data came from 3 groups in a randomized experiment, the appropriate test is a chi-square test for homogeneity.

To determine the approximate rolling distance for a child on a bike weighing 110 lbs, we would need the regression line equation derived from a statistical analysis.

The regression line represents the relationship between the weight of the bike and the rolling distance. With the regression line equation, we can substitute the weight of 110 lbs into the equation to estimate the corresponding rolling distance. The regression analysis would have been performed using a dataset with various bike weights and their corresponding rolling distances. By analyzing the data, the regression line provides an approximation for predicting the rolling distance based on the weight of the bike.

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Answer:

\( \large{\boxed{\sf Hypotenuse = 16.97\ cm }}\)

Hypotenuse=16.97 cm

Step-by-step explanation:

Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .

p

\( \begin{gathered}\sf\qquad\longrightarrow \)

Area =

\(\dfrac{1}{2}(base)(height)\\\end{gathered}\)

⟶Area=21(base)(height)

\( \begin{gathered}\sf\qquad\longrightarrow\)

\( 72cm^2=\dfrac{1}{2}(x)(x)\\\end{gathered} \)

⟶72cm2=21(x)(x)

\( \begin{gathered}\sf\qquad\longrightarrow x^2=\)

144cm^2\\\end{gathered}⟶x2=144cm2

\( \begin{gathered}\sf\qquad\longrightarrow x\)

\( =\sqrt{144cm^2}\\\end{gathered}⟶x=144cm2 \)

\(\sf\qquad\longrightarrow \pink{x = 12cm }⟶x=12cm \)

Hence we may find hypotenuse using Pythagoras Theorem as ,

\( \sf\qquad\longrightarrow h =\sqrt{ p^2+b^2}⟶h=p2+b2 \)

Here p = b = 12cm ,

\(\begin{gathered}\sf\qquad\longrightarrow h \)

=\sqrt{ (12cm)^2+(12cm)^2}\\\end{gathered} \)

⟶h=(12cm)2+(12cm)2

\( \begin{gathered}\sf\qquad\longrightarrow h\)

\( =\sqrt{144cm^2+144cm^2}\\\end{gathered}\)

⟶h=144cm2+144cm2

\( \begin{gathered}\sf\qquad\longrightarrow h\)

=\sqrt{288cm^2}\\\end{gathered}⟶h=288cm2

\( \sf\qquad\longrightarrow \pink{ hypotenuse=\)

16.97cm }⟶hypotenuse=16.97cm

Hence the hypotenuse is 16.97 cm .

\)

Answer:

5 1/2

Step-by-step explanation:

12 3/4 - 7 1/4

The probability of drawing one blue marble on the first draw is 4/10. Since we do not replace the marble, there are only 9 marbles left in the bag, so the probability of drawing a green marble on the second draw is 2/9.

The probability of drawing one blue marble and one green marble is the product of the probabilities of each event:

(4/10) x (2/9) = 8/90 = 4/45

Therefore, the probability of drawing one blue marble and one green marble is 4/45.

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Answer:

Step-by-step explanation:

Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:

\(tanA=\frac{5}{7}\)

Hit the 2nd button on your calculator then the tan button which displays:

\(tan^{-1}(\)

Enter 5/7 after that open parenthesis and hit = to get that

A = 35.54°

The correct option is a) (-7, 3) which is the midpoint of the segment.

To find the midpoint of a segment, we need to use the midpoint formula:

Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )

The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.

It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.

Using the coordinates given in the diagram, we can substitute them into the formula:

Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )

Midpoint = ( (-4)/2 , 6/2 )

Midpoint = ( -2 , 3 )

However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.

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Answer:

25 1/5

Step-by-step explanation:

5 + 6 + 4 + 8 = 23

1/3 + 2/3 = 1

23 + 1 = 24

4/5 + 2/5 = 1 1/5

24 + 1 1/5 = 25 1/5

You have worked 25 1/5 hours this week.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

Given that you have worked these hours this week:

5 4/5, 6 1/3, 8 2/5, 4 2/3.

Apply the addition operation, and we get

⇒ 5 4/5 + 6 1/3 +8 2/5 + 4 2/3.

⇒ 29/5 + 19/3 + 42/5 + 14/3

⇒ 29/5 + 42/5 + 19/3 + 14/3

⇒ 71/5 + 33/3

⇒ 71/5  + 11

Take LCM between terms,

⇒ (71 + 55)/5

⇒ 126/5

⇒ 25 1/5

Thus, you have worked 25 1/5 hours this week.

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As the speed of a ship increases, the time remaining in the journey decreases

This implies that the speed of the ship is inversely proportional to the time

Therefore, this is a negative correlation because the relationship between the speed of the ship and the time remaining is not a direct one

The answer is a negative correlation

Answers:

5.8x10-7= 51

5.15x10^6= 5150000

6.37x10-^2= 637

5.545x10-7= 55450000

Answer:

Domain → (-∞, ∞)

Range → (-2, ∞)

Step-by-step explanation:

1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).

From the graph attached,

Function is defined for all real values of x.

Therefore, domain of the function will be (-∞, ∞).

On y-axis values of the function vary from -2 (excluding 2) to positive infinity.

Therefore, range of the function will be (-2, ∞).

2). Average rate of change of a function in the interval (a, b) is defined by,

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

By using this expression we can find the average rate of change in the given interval.

Please give the correct interval for which the average rate of change is to be calculated.

The Bell state is entangled, we can use the concept of separability or Schmidt decomposition. It cannot be expressed as a tensor product of two single-qubit states, and there is only one term in its Schmidt decomposition, which proves its entanglement

To show that a two-qubit state is entangled, we can use the concept of separability. A state is separable if it can be expressed as a tensor product of two single-qubit states. If a state cannot be written in this form, then it is entangled.

To show that the Bell state |Φ+⟩=1/√2(|00⟩+|11⟩) is entangled, we can attempt to write it as a tensor product of two single-qubit states. Let's assume that:

|Φ+⟩ = |a⟩ ⊗ |b⟩

where |a⟩ and |b⟩ are single-qubit states.

Then, we can write:

|Φ+⟩ = 1/√2 (|0⟩ ⊗ |0⟩ + |1⟩ ⊗ |1⟩)

Comparing this to the expression for the Bell state, we can see that it cannot be expressed as a tensor product of two single-qubit states. Therefore, it is entangled.

To mathematically prove that the Bell state is entangled, we can use the concept of Schmidt decomposition. The Schmidt decomposition expresses any two-qubit state as a sum of tensor products of orthonormal states, with non-negative coefficients. If a state can be written as a single term in the Schmidt decomposition, then it is separable. If not, then it is entangled.

The Schmidt decomposition of the Bell state is:

|Φ+⟩ = 1/√2 (|0⟩ ⊗ |0⟩ + |1⟩ ⊗ |1⟩)

The coefficients in this decomposition are both 1/√2, which are non-negative. However, there is only one term in the decomposition, which means that the state is not separable and is entangled.

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Answer:

7-3x<0

7 < 3x

3x > 7

x > 7/3

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Answer:

7-3x<0

7-3+5

-1

__&96&6$96&6 $96$6*"586*6)*5)"-*-*6*=$6=*)5$)5"

The probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

The odds for rolling a 6-sided die and getting a 2 are 1:5 or 1/5. This means that the probability of rolling a 2 is 1/6, and the probability of not rolling a 2 is 5/6. To find the odds against rolling a 6-sided die and getting a 2, we simply invert the odds for rolling a 2, which gives us the odds of rolling any number other than 2. The odds against rolling a 6-sided die and getting a 2 are therefore 5:1 or 5/1. This means that the probability of not rolling a 2 is 5/6, and the probability of rolling a 2 is 1/6. It's important to note that the odds against an event are not the same as the probability of that event not occurring. The odds against an event refer to the ratio of the number of unfavorable outcomes to the number of favorable outcomes, while the probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

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Answer:

y > 3x - 1

Step-by-step explanation:

To find out what the linear inequality of the graph:

We need to determine its slope and y-intercept. Given the following points on the graph: (1, 2) and (0, -1)

Let (x1,  y1) = (1, 2)

(x2, y2) = (0, -1)

To solve for slope, we'll use the formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{-1 - 2}{0 - 1} = \frac{-3}{-1} = 3\)

Therefore, the slope = 3.

Next, we must determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). One of the points we used to solve for the slope reflects the coordinates of the y-intercept, (0, -1). Therefore, the y-intercept (b) =  -1.

Now that we have our slope and y-intercept, we can establish the linear equation in slope-intecept form:

y = 3x - 1.

Since the upper half of the region is already shaded, then it means that the inequality symbol must be ">". Therefore, the linear inequality of the graph is y > 3x - 1.

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