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The area of the quadrilateral PQRS is (a) 48

From the question, we have the following parameters that can be used in our computation:

The figure

We understand that

This means that

Height = 6

Base = √(10² - 6²) = 8

So, we have

Area = Height * Base

This gives

Area = 6 * 8

Evaluate

Area = 48

Hence, the area of quadrilateral PQRS is (a) 48

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If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

9

Step-by-step explanation:

Because 8 and 9 are the numbers because they're the greatest consecutive integers you can have without it going past 17 because sum means adding so you're adding the two consecutive integers and 9 is the largest so That's the answer

Given that,

the two numbers are consecutive

The two numbers are

x and x + 1

Sum of the numbers = 17

x + (x + 1) = 17

x + x + 1 = 17

2x = 17 - 1

2x = 16

x = 16/2

x = 8

Therefore, the two numbers are x = 8 and x + 1 = 9

9 is the greater integer

Answer:

By making y alone

Step-by-step explanation:

3y-14=16

   +14  +14

3y=  30

divide 3 on both sides

y=10

Hope this helps!

Given the polynomial function:

Where, 300 feet per second is the initial velocity.

To find the height of the projectile at each given time, substitute the given time for t and evaluate.

We have:

• t = 1 sec

• t = 2 sec

• t = 10 sec

• t = 14 sec

The probability that a student earns a grade of B is 0.25 or 25%.

We are given that;

The frequency table

Now,

To find the probability that a student earns a grade of B, we need to divide the frequency of students who earned a grade of B by the total number of students:

P(B) = frequency of B / total frequency

The frequency of students who earned a grade of B is 35 and the total frequency is:

28 + 35 + 56 + 14 + 7 = 140

Substituting these values into the formula above, we get:

P(B) = 35 / 140 = 0.25

Therefore, by probability the answer will be 0.25 or 25%.

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Answer:

9.3 hrs to finish

Step-by-step explanation:

(10.5 - 2.75)ft / (5/6 ft/hr) = 9.3 hrs to go

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where \((x_1,y_1)\) and \((x_2,y_2)\) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

\(m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5\)

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

\(y=5x+b\)

Now, determine the y-intercept.

\(y=5x+b\)

⇒ Plug in one of the given points:

\(6=5(2)+b\\6=10+b\\b=-4\)

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

\(y=5x-4\)

\(y=5x-4\)

Answer:

Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

Each pencil cost $0.51

Step-by-step explanation:

Answer:

45 Feet

Step-by-step explanation:

4.5 divided by 0.5=9

9 times 5=45

Hoped this helped!

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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Answer:

-----------------------------

Current population is 370000 people.

Growth rate is 6.25%.

The population after 8 years will be:

Answer:

22

actual answer was 21.99

Answer:

It is a negative slope :)

Answer:

0.125 mm

Step-by-step explanation:

A/L=W

W=0.125

Option A.

Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.

STEP - BY -STEP EXPLANATION

What to find?

The second step in sketching the graph of a rational function.

To answer the given question, we will follow the steps below:

Step 1

Define a rational function.

In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials.

Step 2

Arrange the order of finding the rational fraction.

The points of interest in graphing are the asymptotes and intercepts. (Maxima and minima are also useful, but may not be as easy to find.

So, the steps in finding the rational fractions are;

• Find the function's zeros and vertical asymptotes and plotting them on a number line.

• Choose test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.

• Usetest numbers to find where the function is positive and where it is negative

• the function's graph and plotting additional points as guides when needed.

Observe from the above that the second step in sketching the graph is: Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number .

Therefore, the correct option is Option A. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Step-by-step explanation:

We know the slope-intercept form of line equation is

y = mx+b

where m is the slope and b is the y-intercept

Given the points

Finding the slope between (-8,-5) and (-8,-9)

(x₁, y₁) = (-8,-5)

(x₂, y₂) = (-8,-9)

slope = m = (y₂-y₁) / (x₂-x₁)

                = -9 - (-5) / -8 - (-8)

                = -9+5 / -8+8

                = -4 / 0

                = ∞

Thus, the slope = m = ∞

In other words, whatever the value of y is, the x-value always remains constant.

In other words, the line will be vertical and the slope of a vertical line will be undefined.

Thus, the equation of this line is:

x = -8

The line graph is also attached.

Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Step-by-step explanation:

30-(12-7)= red pens

30-19

11

Probability=

11/30

Answer:

$6,000

Step-by-step explanation:

Percentages are really a really easy concept to understand.

We know that 100% of $300,000 is 300,000

This means that 10% of $300,000 is 30,000

and 1% of $300,000 is 3,000

If 1% of 300,000 is 3,000 than 2% is equal to 6,000

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

109.25 US dollars

Step-by-step explanation:

115 * 0950

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Answer: 7 inches

Step-by-step explanation:

l x w = a

16 x w = 112

w = 112/16

w = 7