In a triangle PQR,the sides PQ, QR and PR measure 15 in, 20 in and 25 in respectively.

it takes Lindiwe's teacher 300 seconds to walk to her classroom and the break is 50 minutes long.

To convert 3 km to meters we multiply by 1000 (since there are 1000 meters in 1 km).

3 km = 3,000 meters

Therefore, Lindiwe walks 3,000 meters from home to school during weekdays.

3.2 To convert 5 minutes to seconds, we multiply by 60 (since there are 60 seconds in 1 minute).

5 minutes = 5 x 60 = 300 seconds

Therefore, it takes Lindiwe's teacher 300 seconds to walk to her classroom.

To find the length of Lindiwe's break, we subtract the start time from the end time:

11:20 - 10:30 = 0:50

The break is 50 minutes long.

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Answer: x = 1, x = -1

Step-by-step explanation:

\((3x^{2} -2) + (2x^{2} -6x+3)\\3x^2 -2 +2x^2 -6x+3\\5x^2-6x^2 +1\\-x^2 +1=0\\-x^2 = -1\\x^2=1\\\sqrt{x^2}=\sqrt{1} \\x = 1, -1\)

The probabilities are given as follows:

a) Less than 17 minutes: 0.8487.

b) More than 27 minutes: 0.0498.

c) Between 17 and 27 minutes: 0.1015.

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = 1 - e^{-\mu x}\)

The probability of finding a value higher than x is:

\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)

The mean and the decay parameter for this problem are given as follows:

\(m = 9, \mu = \frac{1}{9} = 0.1111\)

Hence the probability of less than 17 minutes is of:

P(X < 17) = 1 - e^(-0.1111 x 17) = 0.8487.

The probability of less than 27 is of:

P(X < 27) = 1 - e^(-0.1111 x 27) = 0.9502.

Then the probability of more than 27 is of:

P(X > 27) = 1 - 0.9502 = 0.0498.

The probability of between 17 and 27 minutes is given as follows:

0.9502 - 0.8487 = 0.1015.

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Answer:

Step-by-step explanation:

180 x 0.6 = 108

108 x 0.05 = $5.40

108 + 5.4 = $113.40

Regarding the objective function C = 3x + 4y, the minimum and the maximum value are given as follows:

The objective function is defined as follows:

C = 3x + 4y.

The extremas of the function, that is, the minimum and the maximum values, can be obtained at either of these following points:

These extreme values are the numeric values at these points.

In this problem, there is only a single curve, hence the vertices are given as follows:

(0,0), (0,4) and (4,0).

Then the numeric values of the objective function are these points are given as follows:

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The value of x in the equation is x = -1 and x = -4.67

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

3x^2 + 13x + 4 = 0

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

x = (-b ± √(b² - 4ac)) / 2a

where a = 3, b = 13, c = 4

So, we have

x = (-13 ± √(13² - 4 * 3 * 4)) / 2 * 3

x = (-17 ± √(169 +- 48)) /6

x = (-17 ± 11) /6

Expand

x = (-17 + 11)/6 and x = (-17 - 11)/6

Evaluate

x = -1 and x = -4.67

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Answer:

54 centimeters

Step-by-step explanation:

Answer:

1) The store selling for 1.1 per 3 lbs

2) $6.24

Step-by-step explanation:

1)

1.1/3 = 0.37

0.78/2 = 0.39

0.37 is cheaper so it's a better deal

2)

\(\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24\)

Answer:

1.10 for 3 is the better deal.  It will cost $6.24 for the pencils.

Step-by-step explanation:

Do two separate problems but find how much it is for 1 carrot.  So the first is:$1.10 divided by 3 carrots = .366 or 37 cents per carrot.

The second one is: .78 divided by 2 carrots = .39 cents per carrot.

If you break 24 students into groups of 3, that would be 8 groups. 24 divided by 3 = 8.  

8 sets of 3 pencils is .78 x 8 = $6.24

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Final answers:

Explanations

Answer:

22 degrees is the answer

Step-by-step explanation:

Answer:

Answer is 15 I hope this help

The equation to determine how much george will pay for a student ticket is 1/3x + 15 = 19 and george pay $12 for a student ticket.

Given:

George and his dad are planning to attend the state fair. an adult ticket is $19. the price of an adult ticket is one third the price of a student ticket plus $15.

Let x be the price of student ticket.

from the given statement:

1/3x + 15 = 19

x + 45 = 19*3

x + 45 = 57

x = 57 - 45

x = 12.

Therefore the equation to determine how much george will pay for a student ticket is 1/3x + 15 = 19 and george pay $12 for a student ticket.

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the simplified expression is:

\(1 / ( y^{24} * x^{18 })\)

To simplify the expression:

\(( y^4 / x^{(-3)} )^{(-6)}\)

We can use the property of negative exponents, which states that x^(-n) is equal to \(1 / x^n\).

First, let's apply this property to the denominator:

\(x^{(-3)} = 1 / x^3\)

Now, we can rewrite the expression as:

\(( y^4 / (1 / x^3) )^{(-6)}\)

To simplify further, we can apply the rule of dividing fractions, which states that \((a / b)^n\) is equal to \((a^n / b^n)\):

\(( y^4 * x^3 )^{(-6)}\)

To simplify even more, we can apply the power rule, which states that \((a^m)^n\) is equal to a^(m*n):

\(y^{(4*{(-6)})} * x^{(3*{(-6)})}\)

Simplifying the exponents, we have:

\(y^{(-24)} * x^{(-18)}\)

Finally, using the property of negative exponents, we can rewrite the expression with positive exponents:

\(1 / ( y^{24} * x^{18} )\)

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The given statement that Adverse selection occurs because of asymmetric information is true . Because it happens when one party have no idea about other party .

Adverse Selection:

Adverse selection generally refers to the situation in which the seller has information that the buyer does not have or, conversely, knows about aspects of the product's quality. In other words, it is a case of misusing asymmetric information. Information asymmetry, also known as information impairment, occurs when one party to a transaction has more important knowledge than the other party.

For example, corporate managers may be more willing to issue stock if they know that the stock is overvalued relative to its true value. Buyers may suffer losses by purchasing overvalued stocks. In the used car market, sellers can learn about vehicle defects and charge buyers extra fees without disclosing the problem.

A common consequence of negative selection is that consumers lack information from sellers and manufacturers, increasing costs and creating market asymmetries.

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Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

The following system of inequalities is represented by the graph

x+y>3

-x+y< -4

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Consider the  inequalities:

x+y>3-------(1)

-x+y< -4------(2)

Find x and y intercepts of both by considering them as equations by using equal sign in the place of  inequality sign

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

-x+y= -4------(4)

Find x and intercepts of these 2 equations:

we get x intercept when y=0 ( substitute y=0 into the respective equations and find x)

we get y intercept when x=0  ( substitute x=0 into the respective equations and find y)

x intercept of (3) is (3,0)

y intercept of (3) is (0,3)

x intercept of (3) is (4,0)

y intercept of (3) is (0,-4)

plot these points on a the plane and join them with lines

use dotted line and shade under the lines because of less than symbol

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The cooking time for Erica's 7-pound roast is 196 minutes.

To determine the cooking time for Erica's 7-pound roast, we can set up a proportion based on the relationship between the weight of the roast and the cooking time.

Let's assume that the cooking time is directly proportional to the weight of the roast. Therefore, the proportion can be set up as follows:

(Weight of 3-pound roast)/(Cooking time for 3-pound roast) = (Weight of 7-pound roast)/(Cooking time for 7-pound roast)

Using the values given in the problem, we can substitute the known values into the proportion:

(3 pounds)/(84 minutes) = (7 pounds)/(x minutes)

To solve for x, we can cross-multiply and then solve for x:

3 * x = 7 * 84

3x = 588

x = 588/3

x = 196

It's important to note that cooking times can vary depending on factors such as the type of oven and desired level of doneness. It is always a good idea to use a meat thermometer to ensure that the roast reaches the desired internal temperature, which is typically around 145°F for medium-rare to 160°F for medium.

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Answer:

3

Step-by-step explanation:

add all numbers

Answer:3

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

\(\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}\)

Yes, with sides 8,9 and 12 triangles can be formed.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

From the triangle property, the sum of the two sides of the triangle should be greater than the third side.

From the given data the sum of the two sides is greater than the third side.

8 + 9 > 12

17 > 12

Hence, with sides 8,9 and 12 triangles can be formed.

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Answer:

please screen shot it so we cna help you

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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The fan is sitting at a height of about 313.55 feet above the field.

We know that the fan is seated at a distance of 200 feet from the home plate and the angle of depression is 62°.

One of the primary six trigonometric functions, the tangent function is typically expressed as tan x. In a right-angled triangle, it is the ratio of the angle's opposite and adjacent sides that is taken into account. The cosine, denoted by the symbol cos, is the proportion of the neighboring side of a right triangle to the hypotenuse.

Let us find the height of the fan above the field. We can use the tangent function to find the height of the fan above the field.

tanθ = opposite/adjacent

Where θ = 62°, adjacent = 200 ft, and the opposite is the height of the fan above the field.

So, tan 62° = opposite / 200ft

=> opposite = 200 ft × tan 62°≈ 313.55 ft

Therefore, the fan is sitting at a height of about 313.55 feet above the field.

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Answer:

3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(k-5)/(2-1)

m=(k-5)/1

m=k-5

k-5=3

k=3+5

k=8

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

5) y=mx+b where m=slope and b=y-intercept.

Answer:

The Answer is C

In the concept of inequality, the function that represents their saving based on the number of week is

w1 = $10 + x

w2 = $330 + x

And in the 170th week b0th of them have the same amount.

Inequality:

Inequality refer the non equal relation between two expressions.

Given,

Cole and Mikey both have summer jobs. Each of them is trying to save money in order to buy a car. Mikey already has $10 in his savings, while Cole has $330 in his saving account.

Here we need to find the function that represents their savings.

Let us represents the w1 as Cole savings and w2 as Mickey savings.

And x represents the amount of money saved per week.

So, the equation of their savings is written as,

w1 = $10 + x

w2 = $330 + x

So, to calculate Mikey and Cole have the same amount or money, then we have to equate the given expression, then we get,

$10 + x = $330 + x

2x = $340

x = 340/2

x = 170

At the 170th week both has the same amount.

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