Use quadratic regression to find
the equation of the parabola
going through these 3 points.
(3,-12), (-2,43), (2,-5)

During your drive, you will pick up a signal from the transmitter for a distance of approximately 78.4 miles.

To determine the distance at which you will pick up a signal from the transmitter during your drive, we can use the concept of the Pythagorean theorem.

Let's consider a right triangle where the distance north of the transmitter is 56 miles (the length of the triangle's vertical leg) and the distance east of the transmitter is 55 miles (the length of the triangle's horizontal leg). The hypotenuse of this triangle represents the distance from the transmitter to your position while driving.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse:

hypotenuse^2 = vertical leg^2 + horizontal leg^2

Let's substitute the values:

hypotenuse^2 = 56^2 + 55^2

hypotenuse^2 = 3136 + 3025

hypotenuse^2 = 6161

Taking the square root of both sides to find the hypotenuse:

hypotenuse = √6161

hypotenuse ≈ 78.4 miles

Therefore, during your drive, you will pick up a signal from the transmitter for a distance of approximately 78.4 miles.

Please note that this calculation assumes a direct line of sight and does not account for any obstructions or variations in signal strength.

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Answer:

Step-by-step explanation:

do it your self

just know its not b.....

Answer

5

Step-by-step explanation:

Formula for distance between two points:

d = \(\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }\)

d = \(\sqrt{(-2-3)^{2} + (2-2)^{2} }\)

d = 5

Answer:

\(\displaystyle m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (3, 0)

Point (4, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

The breadth of the garden is 17.625 meters.

To find the breadth of the garden, we can subtract the area of the road surrounding the garden from the total area of the rectangle formed by the length and breadth of the garden.

Given that the width of the road is 6 meters and the total area of the road is 564 square meters, we can calculate the area of the garden by subtracting the road area from the total area.

Total area = Length * Breadth

564 = (20 + 2 * 6) * Breadth

564 = 20 * Breadth + 12 * Breadth

564 = 32 * Breadth

Now, divide both sides of the equation by 32 to isolate the breadth:

Breadth = 564 / 32

Breadth ≈ 17.625 meters

Therefore, the breadth of the garden is approximately 17.625 meters.

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Answer:

your answer will be option D. 14.1 cm^2

Step-by-step explanation:

hope it helps u

have a great day!!!

Answer: October 7

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

it's 1 L

Step-by-step explanation:

it's pretty easy just do some multiplication

Answer:

you didn't add options for the sentences, but

x-5 =-10 (add 5 to both sides to get x alone)

x= -5

so anything that has to do with x equaling - 5 would be correct

after reading through the sentences, the correct answer is:

a number subtracted from five is equal to negative ten

because that sentence is saying " 5 - n = - 10 " and that's not what's happening

Step-by-step explanation:

Answer:

width=4.75cm

length=12.25cm

Step-by-step explanation:

let the width of the rectangle=x

the length=3x-2

Given that perimeter=34cm,

2(x)+2(3x-2)=34

2x+6x-4=34

8x-4=34

8x=38

x=38/8=4.75cm

Therefore,

width=4.75cm

length=12.25cm

The side lengths of the triangle are CA = 42.0 and BC = 36.4

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

The triangle

Using the tangent rratio, we have

tan(60) = BC/21

So, we have

BC = 21 * tan(60)

Evaluate

BC = 36.4

Next, we have

CA = √[36.4^2 + 21^2] -- pythagoras theorem

Evaluate

CA = 42.0

Hence, the side lengths are CA = 42.0 and BC = 36.4

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The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

Length equal 12

Step-by-step explanation:

16^2+b^2=20^2

256+b^2=400 (subtract 256 on both sides)

b^2=144 (square root)

b=12

As per the concept of fraction, we can express 8 feet as 2 ²/₃ yards.

The term fraction refers to the numerical values which are a part of the whole.

8 feet can be expressed in another way.

In order to convert to a yard measurement, we divide the length by the conversion ratio.

Here we know that 1 yard = 3 feet

=> yards = feet ÷ 3

Here we have calculated the measurement of 8 feet.

So, the equivalent yard measurement is expressed as,

=> yards = 8/3

When we convert it into mixed fraction form,  we get,

=> 2 ²/₃ yards.

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The complete question is:

F) 2*1/3 yards G) 2*1/2 yards H )2*2/3 yards J )2*3/4 yards. A clothesline rope is 8 feet long. Which of these is another way to express 8 feet? answer choices -A/FB/GC/HD/J

The first 4 terms of the sequence are -5, -2, 1, 4

What is a sequence?

A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.

Solution Explained:

Given,  
\(a_{1} = -5\\a_{n} = a_{n-1} + 3\)

Assuming n ≥ 2, we get

\(a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2\)

\(a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1\)

\(a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4\)

Hence, the first 4 terms of the sequence are -5, -2, 1, 4

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Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

After buying tickets and drinks the total cost is 29.18 and using 5.00 off coupon, the cost of one drink is 11.59

As per the question statement, 2 tickets cost 11.00 and they bought 2 drinks and used a 5.00 off coupon. The total cost was 29.18. We are supposed to find out the cost of one drink.

Let the cost of one drink be "x"

Cost of 2 tickets = 11

Off coupon is of 5.00

Cost of two drinks = \(2x\)

Total money paid = 29.18

Hence, \(11+2x-5=29.18\\2x=29.18+5-11=23.18\\x=\frac{23.18}{2} \\x=11.59\)

Therefore the cost of one drink is \(x=11.59\)

This question was a classic example of how to form equations when all the given conditions are in statements.

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Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Answer:

D.144

Step-by-step explanation:

\(\frac{7}{x} = \frac{84}{156-x}\)

⇔ 84x = -7x + 1092

⇔ 91x = 1092

⇔ x = 12

⇒ AC = 156 - x = 156 - 12 = 144

The value of house will be worth $119,600 in four years.

To calculate the value of the house in four years, we need to first determine the total increase in value over that period. Since the value is increasing by $2400 per year, the total increase over four years will be 4 times $2400, or $9600.

Next, we can add the total increase to the current value of the house to find the future value. The current value is given as $110,000, so adding the $9600 increase gives us a future value of $119,600.

Therefore, we can conclude that the value of house will be worth $119,600 in four years, assuming that the annual increase in value remains constant at $2400. It is important to note that this calculation is based on a simple linear model and does not take into account other factors that may affect the value of the house, such as changes in the housing market or renovations made to the property.

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Answer:

5×x×2× base× high u see me

Answer:

A. F'G' = 3 & G'H' = 5.

Step-by-step explanation:

Translations of any shape will not change the side lengths and will be congruent to the original shape.

The area under the standard normal curve corresponding to Z < 0.75 is 0.7734. This is obtained using standard normal distribution tables.

We are supposed to use the tables to find the probability of the given range. We look up the probability associated with Z = 0.7 and Z = 0.05 in the standard normal distribution table. The probability for the given range is obtained by subtracting the two probabilities from each other.

We look at the value of Z on the left column and the value in the first column and determine the intersection point. The value of the intersection point gives us the area under the curve to the left of the corresponding value of Z.

Here, Z < 0.75, so we look at the row for 0.7 and the column for 0.05. This intersection point gives us a probability of 0.2734. We write this as:

P(Z < 0.75) = 0.7734.

Therefore, the area under the standard normal curve corresponding to Z < 0.75 is 0.2734.

We find the probability associated with Z = 0.7 and Z = 0.05 from the tables and subtract the two probabilities from each other to get the probability of the given range. Thus, P(Z < 0.75) = 0.7734.

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Answer:

1, It has a definite volume but no definite shape.

Step-by-step explanation:

Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.

The trigonometric function has the following exact value: csc θ = √170 / 7

Herein we must determine the exact value of a trigonometric function, that is, the cosecant function, based on the coordinates of a vector generated by a point and the origin of the Cartesian plane. The trigonometric function is defined below:

csc θ = 1 / sin θ = 1 / [y / √(x² + y²)] = √(x² + y²) / y

Where:

If we know that x = - 11 and y = 7, then the exact value of the cosecant function is:

csc θ = √[(- 11)² + 7²] / 7

csc θ = √170 / 7

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