Marie is reading a 271-page book. She has already read 119 pages. She uses the equation 119+8h=271 to find out how long it will take her to finish the book if she reads at about 8 pages per hour.

Solve for h.

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Minor of 2: -3

Cofactor of 2: -18

Minor of -8: -2

Cofactor of -8: 16

Minor of 5: -1

Cofactor of 5: 5

Minor of 3: 9

Cofactor of 3: -3

Minor of 9: -2

Cofactor of 9: -18

Minor of 6: -3

Cofactor of 6: 18

Minor of -1: -3

Cofactor of -1: 3

Minor of -2: 6

Cofactor of -2: -12

Minor of -3: 5

Cofactor of -3: -5

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.

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Answer:

ff

Step-by-step explanation:

f

The correct option is b. that there is no preference between the colors.

A null hypothesis is a sort a statistical hypothesis that asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believably of a theory. It also is written as H0 and is also known to simply as "null."

Some characteristics of null hypothesis are-

So, for this issue, three new colors again for Jeep Grand Cherokee car have been proposed. Its null hypothesis that there is no difference between the colors, that are silvered-blue, almond, and willow green.

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The complete question is-

Three new colors have been proposed for the jeep grand cherokee vehicle. they are silvered-blue, almond, and willow green. the null hypothesis for a goodness-of-fit test would be

a. willow green is preferred over the other colors.

b. that there is no preference between the colors.

c. any one color is preferred over the other colors.

d. impossible to determine.

Answer:

Salmat po sa lahat

Step-by-step explanation:

ako ay from pilipinas na padpad lng dito ^_^

The width of the cooling tower is 36 meters.

A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.

Now we can model the system using;  x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;

2 × ✓324

= 2 × 18

= 36 meters

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Missing parts;

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters

48 meters

80 meters

89 meters

The domain of the total cost function C = 1.50T + 12 is the set of non-negative integers.

Two or more expressions with an Equal sign is called as Equation.

The domain of the function is all non-negative integers, since the number of toppings on a pizza cannot be negative or a fraction of a topping.

Therefore, the domain is {0, 1, 2, 3, ...}

This means that the function is defined for any non-negative integer value of T.

If the customer orders a pizza with 3 toppings, then the total cost would be C = 1.50(3) + 12 = $16.50.

If the customer orders a plain cheese pizza with no toppings, then the total cost would be C = 1.50(0) + 12 = $12.

Therefore, the domain of the total cost function C = 1.50T + 12 is the set of non-negative integers.

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The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

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Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

The values of k for local maxima is k = 1 and k = -1

The given function is,

   f(x) = kx⁴ - 2k³x²

⇒ f'(x) = 4kx³ - 4k³x

⇒f''(x) = 12kx² - 4k³

To find a local maximum at x = 1, we need f'(1) = 0 and f''(1) < 0.

Therefore, set  f'(1) = 0,

⇒4k(1)³ - 4k³(1) = 0

⇒4k - 4k³ = 0

⇒4k(1 - k²) = 0

From this, we can see that either k = 0 or k = ±1.

However, we have to check the second derivative to determine if these are local maximums,

⇒f''(1) = 12k(1)² - 4k³

For k = 0, f''(1) = 0, which means there isn't a local maximum.

For k = 1, f''(1) = 8 < 0, which means there is a local maximum.

For k = -1, f''(1) = -8 < 0, which means there is also a local maximum.

Therefore,

The values of k that give a local maximum at x = 1 are k = 1 and k = -1.

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Answer:

D and E are the only true statements

Step-by-step explanation:

D is true because:

the probability of rolling a 1 is 1/6 and the spinner landing on blue or green is 2/3

1/6 × 2/3 = 2/18 = 1/9

E is true because:

the probability of rolling an even number (1, 3, 5) is 1/2 and the spinner landing on blue is 1/3

1/2 × 1/3 = 1/6

1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.

Here, the BAC = 0.1%

Time span = 4 hours

We know,

BAC is a measure of alcohol in the blood as a percentage

Alcohol leaves the body at an average rate of 0.015 g/100mL/hour

Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

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Answer:

Step-by-step explanation:

Consider a utlity bill which shows a minimum initial cost plus variable costs dependent upon how many units are sold.

Then:  total cost ≥ (fixed cost) + (unit cost)(number of units sold)  

This involves the "equal to or greater than" concept.

The circumference of the Ferris wheel is equal to the distance it travels in one complete rotation. In this case, the Ferris wheel rotates three times, so the distance it travels is three times the circumference of the wheel.

We can set up an equation to solve for the diameter of the wheel using the given information.Circumference of the Ferris wheel = distance it travels in one complete rotation = 235.5 ft / 3 = 78.5 ftCircumference of the Ferris wheel = πd, where d is the diameter of the Ferris wheel.78.5 = πdDivide both sides by π to solve for d.d = 78.5 / π ≈ 25.01 ftTherefore, the diameter of the Ferris wheel is approximately 25.01 feet.Explanation:To find the diameter of the Ferris wheel, we need to start by using the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter.

Since we know that the Ferris wheel travels 235.5 feet in three rotations, we can find the distance it travels in one complete rotation by dividing this distance by three. This gives us a distance of 78.5 feet per rotation .Next, we can set up an equation using the formula for the circumference of a circle:78.5 = πd Divide both sides by π to isolate d:d = 78.5 / πWe can use a calculator to find an approximate value for this expression :d ≈ 25.01Therefore, the diameter of the Ferris wheel is approximately 25.01 feet.

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Answer:

3/4

Step-by-step explanation:

i am in confusionn to what ur asking??

The probability that a roll chosen at random and utilized by the manufacturer has problems is 0.032.

Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics. Probability is a mathematical representation of the likelihood or potential that an event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics.

So, the probability

\(=\frac{80}{100}*0.03+\frac{20}{100}*0.04\\=0.8*0.03+0.2*0.04\\=0.024+0.008\\=0.032\)

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Answer:

5

Step-by-step explanation:

Average rate of change is slope, which is change in y over change in x:

\(\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5\)

The average rate of change of the function is 5.

The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.

The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.

The value of the function for x = 6 is:

f(6) = 5(6) + 2

f(6) = 32

The value of f(x) for x = -2 is:

f (-2) = 5(-2) + 2

f(-2) = -10 + 2

f(-2) = -8

The average rate of change of the function is given by:

( f(6) - f(-2) )/ (6 - (-2))

= ( 32 - (-8))/ (6 + 2)

= ( 32 + 8)/8

= 40/8

= 5

Hence, the average rate of change of the function is 5.

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The equation y' = x + y + 1  is not seperable. Therefore the statement is false.

In mathematics, an ordinary differential equation (also known as an ODE) is an equation made up of one or more functions of a single independent variable and its derivatives. A function having one or more derivatives is a component of a differential equation.

Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

If you can express a differential equation as y′=f(x)g(y), where f(x) is only a function of x and g(y) is only a function of y, then the problem is separable. Here, it is not the situation.

But we are not limited to solving separable differential equations. We frequently use integrating factors to solve linear first-order differential equations, such as this one. Using the product rule, multiply your differential equation by an integrating factor—in this example, e—and you get (eyy)′=eyy+eyy′=eyx,

which you may integrate to get your differential equation's solution. Finding integrating factors for generic linear first-order differential equations of the type y′+p(x)y=q may be done in a general way (x).

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The number of bacteria that will be there after 3 hours is 6400

What is exponential growth model?

What transpires when you repeatedly multiply by the same amount is described by an exponential growth model. It has a wide range of uses, especially in the economics and life sciences. A population that doubled annually would represent a straightforward exponential growth scenario. For instance, y=A(2)x.

After 1 hour there are 100 bacteria

After 2 hours there are 200 bacteria

Let x be hours and y be the number of bacteria

\(y = ab^{x}\)

where, a is initial value and b is growth factor.

After 1 hours, there are 100 bacteria. So, the point is (1,100). Put x=1 and y=100

100 = ab ⇒ (1)

After 2 hours, there are 200 bacteria. So, the point is (2,200). Put x=2 and y=200

200 = ab² ⇒ (2)

Dividing eq (2) and eq(1)

\(\frac{200}{100} = \frac{ab^{2} }{ab}\)

b = 2

Putting the value of b in eq 1

100 = 2a

a = 50

When x = 3 what is the y value

y = 50 * \(2^{7}\)

  = 50*128

  = 6400

Therefore, the number of bacteria after 3 hours is 6400.

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Answer:

33

Step-by-step explanation:

d (segment length) = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\\)

x1 = -12     y1 = 4

x2 = 21     y2 = 4

So coz of y1 = y2

d = x2 - x1

d = 21 - (-12)

d = 21 + 12

d = 33

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Given the image of the situation: Image text: A person is standing at point A looking up to the top of a radar tower located at point B. The distance from point A to point B is 150 feet. Angle 4 is formed by the horizontal line and the line from the person to the top of the radar tower.

Angle 4 is also formed by the horizontal line and the line from the top of the radar tower to the person. What is the description of angle 4 as it relates to the situation below?

The description of angle 4 as it relates to the situation below is: angle 4 is the angle of elevation from the person to the radar tower (a).Explanation: An angle of elevation is the angle formed by a horizontal line and a line of sight that is directed upward.

Therefore, in this situation, Angle 4 is the angle of elevation from the person to the radar tower. Angle 4 is the angle between the line of sight from the person to the top of the radar tower and the horizontal line drawn through the person.

Hence, the answer is option (a). Therefore, option (a) is the correct description of angle 4 as it relates to the situation in the given image.

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Using Rule of thumb,

1) A common rule of thumb is to spend no more than 30% of your income on rent. Therefore, the maximum amount you should spend on rent is:

$2,800 x 0.3 = $840

2) Using the same rule of thumb, the maximum amount you should spend on rent is:

$1,900 x 0.3 = $570

3) To afford an $820/month apartment, you should aim to spend no more than 30% of your income on rent:

$820 = 0.3x

x = $2,733.33

So your monthly income must be at least $2,733.33 to afford the apartment.

4) Following the same reasoning, your monthly income must be at least:

$900 = 0.3x

x = $3,000

5) To start renting, you need to pay first and last month's rent, plus a $650 security deposit, for a total of:

$665 x 2 + $650 = $1,980

So you would need $1,980 to start renting the apartment.

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Hallie's father can buy 4 movie tickets with his $20.00.

To find out how many movie tickets Hallie's father can buy with $20.00, we need to know the price of one movie ticket. Let's assume that the price of one movie ticket is $5.00.

To find out how many movie tickets he can buy, we can divide the total amount of money he has ($20.00) by the price of one ticket ($5.00).
$20.00 ÷ $5.00 = 4

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To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The entire interval over which the function, f(x), is positive is (-∞,1).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The set X is referred to as the function's domain, while the set Y is referred to as the function's codomain.

According to the question,

The function has positive values corresponding to the interval from negative infinity to one.

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The time taken for John to pass Chad is 147.0 seconds.

Given: Chad's speed, v1 = 4.12 m/s

John's speed, v2 = 4.67 m/s

Distance between them, s = 98 m

Let's assume that John passes Chad after t seconds.

Chad's distance = v1t

John's distance = s + v2t

Since both are moving in the same direction, John passes Chad when:

John's distance = Chad's distance + Distance between them

Therefore, s + v2t = v1t + 98 ms = 98 m/(v2 - v1)

Putting the values of v1 and v2, s = 98 m/(4.67 m/s - 4.12 m/s) = 686.6 m

Therefore, John will take: t = s/v2 = 686.6 m/4.67 m/s≈ 147.0 s (rounded to one decimal place)

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