Find the midsegment.

Find The Midsegment.

Answers

Answer 1

Answer:

14

20+8=28/2

your welcome


Related Questions

Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?​

Answers

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Perform your Houdini Math Magic on my question please lol.

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2x + 40 = 62 describes this situation. What does the variable x represent?

A. The number of jumping jacks Diego does
B. The number of push-ups Diego does
C. The number of jumping jacks Noah does
D. The number of push-ups Noah does

Answers

Answer:

d is the answer you need.

The number of push-ups Noah does.

i need help!!!! does anyone know this..!!???

i need help!!!! does anyone know this..!!???

Answers

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

How to determine the period of the frequency factor b given above?

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Solve these please!!!​

Solve these please!!!

Answers

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

What is a quadrilateral?

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

13 + (1/2) × √(10.4) × √(1.8) ≈ 15.16 square units

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

The coordinates of the point B is (5, 8)

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

The coordinates of the point C is C(√(12.8) + 5, 4)  ≈ (8.58, 4)

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

The coordinate of the pint D is about; D(8,58, 1.21)

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In the circle below, suppose ark KLI = 247 deg and m angle LKJ = 124 deg . Find the following.

In the circle below, suppose ark KLI = 247 deg and m angle LKJ = 124 deg . Find the following.

Answers

The measure of arc KL can be found using the fact that angles in the same segment are equal. The angles m arc KL = m arc KLI = 247 degrees.

What is circle?

In geοmetry, a circle is a twο-dimensiοnal shape cοnsisting οf all pοints that are a fixed distance (called the radius) frοm a given pοint (called the center). A circle is a set οf pοints that are equidistant frοm the center. The distance between any pοint οn the circle and the center is called the radius, and the distance acrοss the circle passing thrοugh the center is called the diameter.

The measure of angle JLI can be found using the fact that angles on a straight line add up to 180 degrees. Therefore,

m angle JLI = 180 - m angle LKJ = 180 - 124 = 56 degrees.

The measure of arc JKI can be found using the fact that the measure of an inscribed angle is half the measure of the arc it intercepts. Therefore,

m arc JKI = 2 * m angle JLI = 2 * 56 = 112 degrees.

Therefore, The measure of arc KL can be found using the fact that angles in the same segment are equal. The angles m arc KL = m arc KLI = 247 degrees.

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Please help !!!!! Which of the values are greater than or equal to point N?
R
M
N
+
0
M
N
Р

R.
None of the above

Please help !!!!! Which of the values are greater than or equal to point N?RMN+0MNR.None of the above

Answers

I assume that P and R are greater than N

If one foot is
equivalent to 12
inches, how many
inches are in 3 feet?


*Bonus: What is
another name for that
length?

Answers

Answer:

36 am I wright

because in this case we should always multiply

Scenario: I am interested in selling cookies in my online bakery store. But before that, I need to find out how much I should price it to maximize revenue. I surveyed 1500 people and found out that if I price it at $2.00 a cookie then 800 people would buy it. If I price it at a dollar more at $3.00. a cookie, then 600 people would buy it. On the other hand, if I price it at a dollar less at $1.00 a cookie, then 1000 people would buy it. Based on this information, I noticed that for every one dollar increase in price, 200 fewer people would buy it. 1. Solve the scenario problem above for the optimal item price that maximizesrevenue. Be sure to show all your work and reflect on your findings.

Answers

the Let number of people = y

Let price = x

Gradient = -200

\(\begin{gathered} -200\text{ = }\frac{y\text{ - 800}}{x\text{ - 2}} \\ y\text{ - 800 = -200(x - 2)} \\ y\text{ - 800 = -200x + 400} \\ y\text{ = -200x + 400 + 800} \\ y\text{ = -200x + 1200} \end{gathered}\)

Revenue = price X number of people

\(\begin{gathered} R(x)\text{ = x }\times\text{ y} \\ R(x)\text{ = x(-200x + 1200)} \\ R(x)=-200x^2\text{ + 1200x} \\ R^{\prime}(x)\text{ = -400x + 1200} \\ To\text{ maximize , R(x) = 0} \\ -400x\text{ + 1200 = 0} \\ 400x\text{ = 1200} \\ x\text{ = }\frac{1200}{400} \\ \text{x = 3} \end{gathered}\)

Optimal item price = $3

Solve y = ax² + c for x.
O x
x= ± √ay-c
O
O
x = ±₁
X=
X=
у-с
a
y
y + c
a

Solve y = ax + c for x.O xx= ay-cOOx = X=X=-ayy + ca

Answers

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spent on each cost as a percent, fraction and decimal.
[Food: $500 Rent: $1,200 Transportation: $300]
[Fraction: 25/100 60/100 15/100
[Percent: 25% 60% 15%
[Decimal: 0.25 0.60 0.15
Find the sum of each row in the table. Explain why these sums make sense.
FIRST PERSON TO ANSWER GETS A HEART, BRAINLIEST, AND 100 POINTS!

Answers

Answer:

FOOD:

Fraction = 1/4

Decimal = 0.25

Percent = 25%

RENT:

Fraction = 6/10

Decimal = 0.60

Percent = 60%

TRANSPORT:

Fraction = 3/20

Decimal = 0.15

Percent = 15%

These sums make sense because he payed for each they all add up to the monthly payment he has to do.

Step-by-step explanation:

Hope this helped!
brainliest please!

i need big help because this is due today

i need big help because this is due today

Answers

Answer:

Step-by-step explanation:

x     |  y

30  | 6

60  | 12

90  | 18

120 | 24

The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?

Answers

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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Which layer of Earth is best characterized as a layer of soft, hot rock?(1 point)

inner core
inner core

crust
crust

outer core
outer core

mantle

Answers

Answer: Mantle

Hope this helps!

determine the coordinates of the intersection of the diagonals of abcd with vertices a(-4, 6), b(5, 6), c(4, -2), and d(-5, -2).

Answers

The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).

The equation of diagonal AC is the equation of the line joining

(−4,6) and (4,−2)

Using the two point formula of a line, we have

           (y−6) / (x+4) = 6−(−2) / (−4−4)

                       x + y = 2

The equation of diagonal BD is the equation of the line joining

(5,6) and (−5,−2)

Using the two point formula of a line, we have

           (y−6) / (x−5) = 6−(−2) /  5−(−5)

                           5y = 4x+10

Multiply equation x + y = 10 by 5 to get 5x+5y=10

Replace 5y=4x+46 using 5x+5y=10

        5x + (4x+10) = 10

        5x + 4x +1 0 = 10

           9x + 10 = 10

               9x=0

                 x=0

Substitute x=0 in eqn(1), To get 0+y=2

                                                         y=2

The point of intersection of the diagonals of the given quadrilateral is (0,2)

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What are the additive and multiplicative inverses of h(x) = x - 24?
additive inverse: j(x) = x + 24; multiplicative inverse: k(x) =
1
X-24
1
additive inverse: j(x) = = ; multiplicative inverse: k(x) = -x + 24
X-24
additive inverse:j(x) = -x + 24; multiplicative inverse: k(x) =
1
X-24
O additive inverse: j(x) = -x + 24; multiplicative inverse: k(x) = x + 24

What are the additive and multiplicative inverses of h(x) = x - 24?additive inverse: j(x) = x + 24; multiplicative

Answers

Answer:

Additive inverse : j(x) = -x + 24

Multiplicative inverse : k(x) = 1/x-24

Step-by-step explanation:

I literally have no idea how, I got this answer off of quizlet :) have a good day.

The additive inverse and multiplicative inverse is -x+24 and 1/x-24.

Additive Inverse and Multiplicative inverseAdditive Inverse

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

Multiplicative inverse

The multiplicative inverse is a number is a value of which when multiplied by the original number, results in 1.

Given

h(x) = x - 24

To find

The additive inverse and multiplicative inverse.

How to get the additive inverse and multiplicative inverse?

h(x) = x - 24 is given,

Additive inverse simply means changing the sign of the number and adding it to the original number, then

h'(x) = -x + 24, on adding

h(x) + h'(x) = x - 24 - x + 24 = 0

The multiplicative inverse is a number is a value of which when multiplied by the original number, then

\(\rm h'(x) = \dfrac{1}{x - 24}\), on multiplying we get,

\(\rm h(x) * h'(x) = (x-24)\dfrac{1}{x - 24} = 1\)

The additive inverse and multiplicative inverse is -x+24 and 1/x-24.

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Estimate 2.21x5.1 i guess need help please I don’t want to fell this class

Answers

Answer:

10

Step-by-step explanation:

Im guessing since you have to estimate it then u have to round them up. So if you move both of their points by 2 spaces (divide both by 100) They will be 221x510.

Round them up to 200x500.

That woule be 100 000. Then at the end just dont forget to divide by 10000.

Hope this was helpful

answer: 11.271 or 11.28

explanation:

4w+5z=30 solve for w

Answers

Answer:

\(w=\frac{30-5z}{4}\)

Step-by-step explanation:

\(4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}\)

Hope this helps.

12 / 0.96 please answer this i need it​

Answers

Answer:

12.5

Step-by-step explanation:

g (x)=√-3x+6
Look at photo please

g (x)=-3x+6Look at photo please

Answers

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Rowanda jogged 2.17 kilometers farther than Terrance. Select the values that could represent how far each student jogged. Select all that apply.

A Rowanda: 6.8 km, Terrance: 4.63 km
B Rowanda: 4.5 km, Terrance: 2.43 km
C Rowanda: 7.23 km, Terrance: 5.06 km
D Rowanda: 3.52 km, Terrance: 1.45 km

Answers

Answer:

A and C

Step-by-step explanation:

6.8 - 2.17 = 4.63

7.23 - 2.17 = 5.06

Kasey spent $46.20 on 12 gallons of gasoline. What was the price of 1 gallon of gasoline?

Answers

The answer is 3.85 per 1 gallon

Answer:

$3.85

Step-by-step explanation:

To do this, we are finding the Unit Price.

12 gallons to 1 gallon is to divide by 12.

So, we divide 46.20 by 12.

The answer to this is 3.85

So, the price for 1 gallon of gas is $3.85

Hope this helps! If you want you can hit the crown

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Due to a manufacturing error, eight cans of regular soda were accidentally filled with diet soda and placed into a 24-pack. Suppose that two cans are randomly selected from the 24-pack. Complete parts (a) through (C). (a) Determine the probability that both contain diet soda. P(both diet) = 0.1014 (Round to four decimal places as needed.) (b) Determine the probability that both contain regular soda. P(both regular) = 0.4348 (Round to four decimal places as needed.) Would this be unusual? No Yes O (c) Determine the probability that exactly one is diet and exactly one is regular Plone diet and one regular) = 0.4638 (Round to four decimal places as needed.)

Answers

The probability that both contain regular soda is not unusual as it is greater than 0.05. So, no this would be unusual.

Given:

Total cans = 24

Number of diet sodas = 8

Number of regular soda = 24 - 8 = 16

x = Number of cans selected from 24 cans = 2

(a)

P( both diet) = .........?

P( both diet) = P(First Diet) * P(Second Diet | First Diet)

P( both diet) = 8/24 * 7/23

P( both diet) = 0.1014

(b)

P( Both regular) = ........?

P( Both regular) = P( First regular ) * P(Second Regular| First regular)

P( Both regular) = 16/24 * 15/23

P( Both regular) = 0.4348

Since the probability is > 0.05, it is not unusual.

(c)

P( One Diet and One Regular) = ............?

P( One Diet and One Regular) = P( First Diet and Second Regular or First Regular and Second Diet)

P( One Diet and One Regular) = P( First Diet and Second Regular) + P(First Regular and Second Diet)

P( One Diet and One Regular) = [ 8/24  * 16/23 ] + [ 16/24 * 8/23 ]

P( One Diet and One Regular) = [ 0.2319 ] + [ 0.2319 ]

P( One Diet and One Regular) = 0.4638

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Find y and x need to get the answer asap

Find y and x need to get the answer asap

Answers

Answer:

x = 30

y = 120

Step-by-step explanation:

okay so , 3x - 30 = 60 (opposite each other)

60 + 30 = 90

90 / 3 = 30

x = 30

all angles have to equal 360

we already have two 60 degrees

60 + 60 = 120

360 - 120 = 240

240 / 2 = 120

y = 120

Avery's recipe ask for 100ml of milk. She only has a 10ml measuring cup. How many times will she need to fill her measuring cup to get the right amount of milk for her recipe

Answers

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .

Answers

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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a model for a binary response has a continuous predictor. if the model truly holds, the deviance statistic for the model has an asymptotic chi-squared distribution as the sample size increases. it can be used to test model goodness of fit.

Answers

When a model for a binary response has a continuous predictor and if the model truly holds, the deviance statistic for the model has an asymptotic chi-squared distribution as the sample size increases. This is true.

How to illustrate the information?

The calculated split points are used to "bin" the continuous predictor variables' ranges into subranges. Each bin has the ability to take part in the creation of various if-then logical conditions.

A continuous predictor exists in a model for a binary response. The deviance statistic for the model has an asymptotic chi-squared distribution as the sample size rises if the model is valid. It can be used to gauge how well a model fits.

In this case, the degrees of freedom is equal to the number of covariate patterns minus the number of model parameters plus one if the model is fit.

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Complete question

A model for a binary response has a continuous predictor. if the model truly holds, the deviance statistic for the model has an asymptotic chi-squared distribution as the sample size increases. it can be used to test model goodness of fit. True or false.

A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?

Answers

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

What is the probability?

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

z = (x - μ) / (σ / √n)where

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Frank has 63 baseball and hockey cards. Three times the number of baseball cards minus four times the number of hockey cards is 126. How many of each kind of card does he own? Frank has Blank 1 baseball cards and Blank 2 hockey cards.

Answers

Therefore, Frank has 54 baseball cards and 9 hockey cards.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The expressions on either side of the equals sign can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Here,

Let's use algebra to solve the problem.

Let B be the number of baseball cards that Frank has, and let H be the number of hockey cards that he has. Then we have two equations:

B + H = 63 (the total number of cards is 63)

3B - 4H = 126 (three times the number of baseball cards minus four times the number of hockey cards is 126)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for H:

H = 63 - B

Substitute this expression for H in the second equation:

3B - 4(63 - B) = 126

Simplify and solve for B:

3B - 252 + 4B = 126

7B = 378

B = 54

Now we can use either of the two equations to solve for H. Let's use the first one:

B + H = 63

54 + H = 63

H = 9

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PLEASE HELP!!!!!!!!!!!

What are the benefits and limitations of quadratic models in real world applications such as bridge design?

Answers

The benefits of using quadratic models in real-world applications include: -They are versatile and can be used for a variety of problems.

Why are Quadratic Models important?

Researchers may find the quadratic model to be a useful data analytic approach for helping them identify the combined impacts of achievement goals on academic accomplishment.

We anticipate that future studies on the impact of academic achievement goals will frequently use the quadratic model to analyze their data.

Situations that can be approximated by quadratic functions include tossing a ball, firing a cannon, jumping off a platform, and hitting a golf ball.

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A worker earning an hourly wage changes positions within a company. The new position comes with a 20% raise in hourly wage. The
worker also receives a $2 increase in hourly wage. Use composition of functions to write a function that represents the worker's new
hourly wage when the 20% raise is applied before the $2 raise.
f(x) =

Answers

This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.

What is function?

A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.

Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.

by the question.

let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:

\(f(x) = (1.20x) + 2\)

In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.

We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:

\(g(x) = 1.20x\)

\(h(x) = x + 2\)

Using function composition, we can write the function for the worker's new hourly wage as:

\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)

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