16x + 9 = 9y - 2x
need the step and answer.

When placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

A trifecta in horse racing involves selecting the first three finishers in a race in the correct order. To determine whether it involves combinations or permutations, we need to understand the difference between the two.

Combinations and permutations are both methods of counting the number of ways to arrange or select objects. The main difference lies in whether the order of selection or arrangement matters.

In the case of a trifecta, the order of the selected horses does matter. For example, if the winning horses are Horse A, Horse B, and Horse C, selecting them in the order ABC is different from selecting them in the order BAC or CAB.

Therefore, a trifecta involves permutations rather than combinations. Permutations consider the order of the selected objects, while combinations do not.

In summary, when placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

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Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$170\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &14 \end{cases} \\\\\\ A=170\left(1+\frac{0.06}{1}\right)^{1\cdot 14}\implies A=170(1.06)^{14}\implies A\approx 384.35\)

Answer:

\(\large \boxed{\mathrm{view \ explanation}}\)

Step-by-step explanation:

∠BED is measuring 90 degrees (right angle).

The opposite angle of angle ∠BED will also be 90 degrees because of vertical angles.

∠AEC is measuring 90 degrees (right angle).

The angles on a line add up to 180 degrees.

∠AEC and ∠AEB add up to 180 degrees.

90 + ∠AEB = 180

∠AEB = 90

∠AEB is measuring 90 degrees (right angle).

Angles in a circle around the center add up to 360 degrees.

∠BED + ∠AEC + ∠AEB + ∠CED = 360

90 + 90 + 90 + ∠CED = 360

∠CED = 90

∠CED is measuring 90 degrees (right angle).

Answer:

I earn $99. my friend earns $85. We both earn $184

Step-by-step explanation:

Steps

Amount i earn per hour = 44.55 / 9 = $4.95

Amount my friend earns = 51 /12 = $4.25

Amount earned in 20 hours

4.95 x 20 = 99

4.25 x 20 = 85

Answer: H = 3t + 8

Step-by-step explanation:

Given the following :

Initial height of plant = 8 inches

Rate of growth = 3 inches per month

Let H = height of plant ; t = time in months

Expression to represent the height, H, t months after purchase ;

Height of plant after t months will be ;

Initial height which is a constant is added to the rate of growth multiplied by the number of months after purchase.

Mathematically,

H = 8 + (3 × t)

H = 3t + 8

Answer:

H= 10+4t

Step-by step explanation:

The y-intercept of the function is 10 which represents the initial height of the plant when it was purchased.

that is the correct answer^^^

Answer:

672 litres.

Step-by-step explanation:

Convert the measurements to cm:

14 m = 1400 cm

The capacity = 1400 * 8 * 60

= 672,00 cm^3

There are 1000 cm^3 in 1 litre so the answer is

672 litres.

Answer

Explanation

Given:

mm

A.

To determine the measure of \(\begin{gathered} m\angle TRQ+m\angle QRS=180 \\ 145+m\angle QRS=180 \\ \text{Simplify and rearrange} \\ m\angle QRS=180-145 \\ m\angle QRS=35\degree \end{gathered}\)

Therefore, m

B.

To determine the measure of \(\begin{gathered} m\angle QRS+\angle S+\angle Q=180 \\ 35+y+4y=180 \\ \text{Simplify and rearrange} \\ 35+5y=180 \\ 5y=180-35 \\ 5y=145 \\ y=\frac{145}{5} \\ y=29\degree \end{gathered}\)Now, we plug in y=29 into m\(\begin{gathered} m\angle Q=4y \\ m\angle Q=4(29) \\ m\angle Q=116\degree \end{gathered}\)Therefore, m

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

Now the y-ccordinate of the point G will be:-

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

The spring compressed in stopping the ore car is  4.4719 m.

For answer this we will apply the rule of the conservation of energy,

The conservation of energy principle states that in a closed system, the energy of interacting objects or particles remains constant. Kinetic energy, sometimes known as the energy of motion, was the first type of energy to be identified. The total of the kinetic energy of the particles before collision and the sum of the kinetic energy of the particles after collision are identical in some particle collisions, known as elastic collisions.

where:

\(E_i=E_f\)

First, we will call:

\(E_i\):the automobile is parked

\(E_f\):when the spring is shortened

so:

\(E_i=E_f\)

\(mgh=\frac{1}{2}kx^2\)

where M is the vehicle's mass, g is gravity, h is height, K is the spring's constant, and X is the compressed spring used to halt the ore car. By substituting values, we obtain:

4800×9.8×13.8=\(\frac{1}{2}\times 410000\times x^2\)

calculating x:

x = 4.4719 m

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Answer:

$562.43

Step-by-step explanation:

A hypothesis test is the significance test we will do.

Given;

Our goal is to find out whether students' self-reported grade point averages and their transcript-reported GPAs differ from one another. What kind of significant test will you administer to your class of 50 SRS students?

hypothesis test:

To decide or judge the value of a parameter, such as the population mean, hypothesis tests are utilized. A hypothesis test can be conducted using either the critical value approach or the P-value approach. There are two sorts of errors made when doing a hypothesis test: Type I Error and Type II Error. Because a sample statistic is being used to make conclusions or judgments about the value of a parameter, the decision obtained may be incorrect.

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Answer:

11

Step-by-step explanation:

6 2/8 = 6 1/4

6 1/4 + 4 3/4 = 10 4/4

11

Answer:

11

Step-by-step explanation:

add the whole numbers and fractional parts of the mixed numbers separately

(6+4) +(2/8+3/4)

10+(2/8+3/4)

10+1

11 is the answer

which measure of center can you most accurately estimate from this information: Median

The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.

Calculating the median

The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.

For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.

The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.

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the complete question is:

The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.

Which measure of center can you most accurately estimate from this information?

1. mean

2. median

Answer:

does that mean x=-2? because if so then:

F(x)=36

Step-by-step explanation:

(-2-4)^2

-6^2

36

F(x)=36

Answer:

hmmm tough question

Step-by-step explanation:

Answer:

  3334 N·m

Step-by-step explanation:

Work is the product of force and distance. The force used in the product is the force that is in the direction of motion.

__

The horizontal component of the applied force is ...

  F = (35 N)cos(30°) ≈ 30.311 N

Then the work done is ...

  W = Fd

  W = (30.311 N)(110 m) = 3334 N·m

A parametric description of the solution set of a linear system is the same as solving the system is the false statement.

If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.

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Answer:

50 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

sussy

1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

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Marsha deposited $5500 into savings with 5% interest rate

1st year, Marsha will earn : \(0.05 \times 5500 = 275\)

2nd year, Marsha will earn: \(0.05 \times 5775 = 288.75\)

3rd year, Marsha will earn: \(0.05 \times 6063.75 = 303.19\)

4th year, Marsha will earn: \(0.05 \times 6366.94 = 318.35\)

Answer:

Tan R= Tan P

Step-by-step explanation:

Answer:

2(x-2) + 3 (4x-1) = 0​

x = 1/2

E(X) = 1.88.  E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.

E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:

E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)

= -0.36 + 1.52 + 0.72

= 1.88

Therefore, E(X) = 1.88.

E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:

E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)

= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)

= 0.72 + 6.08 + 4.32

= 11.12

Therefore, E(X^2) = 11.12.

Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.

E((3X + 2)^2) = E(9X^2 + 12X + 4)

= 9E(X^2) + 12E(X) + 4

Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:

E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4

= 100.08 + 22.56 + 4

= 126.64

Therefore, E((3X + 2)^2) = 126.64.

Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.

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Incomplete Question:

Let X be a random variable with the probability distribution below. Find

E(X)

and

EX2

and​ then, using these​ values, evaluate

E(3X+2)2.

x

−2

4

6

f(x)

18

38

12

Find E(X).

E(X)=

​(Simplify your​ answer.)

Find EX2.

EX2=

​(Simplify your​ answer.)

Evaluate

E(3X+2)2.

E(3X+2)2=

​(Simplify your​ answer.)

please make sure answer is correct and answer quickly.

The function Y = 4b + 5 can be written in function notation as k(b) = 4b + 5.

Given function is,

Y = 4b + 5

We have to write the function in function notation.

Given the name of the function as k.

This function can be written as,

k(b) = 4b + 5

Hence the correct form of writing the given function in function notation is k(b) = 4b + 5.

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the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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