I need da answer to it and more

Answer:

D) Infinitely many

Step-by-step explanation:

Given system of equations

\(\left \{ {{6x+18y=9} \atop {y=-\frac{1}{3}x+\frac{1}{2} }} \right.\)

Substitute second equation into first equation

\(6x+18y=9\\\\6x+18(-\frac{1}{3}x+\frac{1}{2})=9\\ \\6x-6x+9=9\\\\9=9\)

Therefore, since both sides are equal to each other no matter what, there are infinitely many solutions.

You can confirm that there are infinitely many solutions by looking at the graph of both functions. They overlap each other, so every solution will work.

Answer:

Step-by-step explanation:

Given:

Solution:

         y = -1/3x + 1/2  

            18(y = -1/3x + 1/2)

            18y = -6x + 9

Since both the equations are the same, this system of equations has infinitely many solutions.

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{4}}}\implies \cfrac{4+2}{-6}\implies \cfrac{6}{-6}\implies -1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-1}(x-\stackrel{x_1}{4}) \\\\\\ y+2=-x+4\implies y=-x+2\)

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

For similar question on gross salary.

https://brainly.com/question/28905653  

#SPJ8

Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

To learn more about Percentage decrease theory, visit

brainly.com/question/29653352

#SPJ1

The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

To learn more about factorizing click :

https://brainly.com/question/804076

#SPJ1

The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

Answer:

follow me and I will answer it

Answer:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

B. {4}

Step-by-step explanation:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

⇒ We didn't include 2 in this because 2 = 2, not greater than 2.

⇒ We also didn't include 11 for the same reason. 11 = 11, not less than 11.

B. First of all, this tells us that x is a natural number, i.e. x ≥ 1

The second thing it tells us is that x = 4. So the answer is {4}

(I may have misunderstood B. If I'm not correct, I'm really sorry. )

Given: \(\textsf{Slope = -3, Passes through (3, -4)}\)

Find:  \(\textsf{Equation in slope-intercept form}\)

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point.  Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

Plug in the values

Distribute

Subtract 4 from both sides

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be \(y = -3x + 5\).

Answer:

40

Step-by-step explanation:

In the minute number 2, you can see the intersection point in 40 packs.

Best regards

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

Learn more about dependent variables here:

https://brainly.com/question/30386143

#SPJ1

Answer: 8 leaves per type of leaf

Step-by-step explanation:

56/7 = 8 leaves per type of leaf.

Answer:

8

Step-by-step explanation:

56/7 = 8

Answer:

Im sorry I can't understand you

Answer:

48%

Step-by-step explanation:

Finding percents

P * 75 = 36

Divide each side by 75

P = 36/75

P =.48

Change to percent form

P = 48%

Answer:

48%%%%%

Step-by-step explanation:

Answer:

-6y^3+7y^2-2

Step-by-step explanation:

(-2y^3+2y^2-9)+(-4y^3+5y^2+7)

-2y^3-4y^3+2y^2+5y^2-9+7

-6y^3+7y^2-2

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

for such more question on values

https://brainly.com/question/11546044

#SPJ8

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

For more such questions on arithmetic

https://brainly.com/question/7882626

#SPJ8

Answer:

The appropriate solution is:

(a) 0.1056

(b) 0

(c) 0.9544

Step-by-step explanation:

The given values are:

Mean,

\(\mu = 75\)

Standard deviation,

\(\sigma = 4\)

(a)

⇒  \(P(x>80)=1-(x<80)\)

                     \(=1-P[\frac{x-\mu}{\sigma} <\frac{80-75}{4} ]\)

                     \(=1-P[\frac{x-\mu}{\sigma} <\frac{5}{4} ]\)

                     \(=1-P(z<1.25)\)

By using the table, we get

                     \(=1-0.8944\)

                     \(=0.1056\)

(b)

According to the question, the values are:

\(n\) = 64

\(\mu_\bar{x}\) = 75

Now,

⇒  \(\sigma_\bar{x}\) = \(\frac{\sigma}{\sqrt{n} }\)

         = \(\frac{4}{\sqrt{64} }\)

         = \(\frac{4}{8}\)

         = \(0.5\)

⇒  \(P(\bar {x} >80 ) = 1 - P(\bar x <80 )\)

                      \(=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]\)

                      \(=1-P(z<10)\)

By using the table, we get

                      \(=1-1\)

                      \(=0\)

(c)

As we know,

⇒ \(\sigma_\bar x\) = \(\frac{\sigma}{\sqrt{n} }\)

        = \(\frac{4}{\sqrt{64} }\)

        = \(\frac{4}{8}\)

        = \(0.5\)

then,

= \(P(74< \bar x <76)\)

= \(P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]\)

= \(P(-2<z<2)\)

= \(P(z<2)-P(z<-2)\)

By using the table, we get

= \(0.9772-0.0228\)

= \(0.9544\)

Any line perpendicular to line C must have a slope equal to -3/2.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the slopes is -1, then if the slope of the line perpendicular to line C is x, then we can write:

x*(2/3) = -1

Solving for x we get:

x = -3/2

That is the slope of the perpendicular line.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

Step-by-step explanation:

Im assuming that the cost of the house isn't per day, so it would be 6 days. I just added 60 to 1180 and counted how many times i added it. To check my work, you can just subtract 1180 from 1540, then divide by 60.

Sorry if this is wrong, but i tried my best. If its correct do you mind making me brainliest lol

Answer:

(i) To compute the value of the fund based on the withdrawals required, we can use the formula for the future value of an annuity due:

FV = P * ((1 + r)^n - 1) / r) * (1 + r)

where FV is the future value of the annuity, P is the annual payment, r is the interest rate per period, n is the total number of periods, and the extra (1 + r) factor is because the payments are made at the beginning of each period.

In this case, P = €25,000, r = 0.065, n = 20. We want to find the future value at the end of the 20-year period:

FV = 25000 * ((1 + 0.065)^20 - 1) / 0.065) * (1 + 0.065)

FV ≈ €743,704.96

Therefore, the value of the fund based on the withdrawals required is approximately €743,704.96.

(ii) To compute the amount of each deposit needed in order to maintain the fund, we can use the formula for the present value of an ordinary annuity:

PV = P * ((1 - (1 + r)^(-n)) / r)

where PV is the present value of the annuity, P is the annual payment, r is the interest rate per period, and n is the total number of periods.

In this case, PV = €743,704.96, r = 0.065, n = 20. We want to find the annual payment:

PV = P * ((1 - (1 + 0.065)^(-20)) / 0.065)

P ≈ €22,630.53

Therefore, the amount of each deposit needed in order to maintain the fund is approximately €22,630.53.

(iii) To compute the total interest earned over the entire 50 years, we can subtract the total deposits from the total withdrawals, and then subtract the initial balance. The total deposits are the annual deposit amount times the number of years (30), and the total withdrawals are the annual withdrawal amount times the number of years (20). The initial balance is the present value of the annuity that we calculated in part (ii).

Total deposits = €22,630.53 * 30 = €678,915.90

Total withdrawals = €25,000 * 20 = €500,000

Initial balance = €743,704.96

Total interest earned = Total withdrawals - Total deposits - Initial balance

Total interest earned = €500,000 - €678,915.90 - €743,704.96

Total interest earned ≈ -€922,620.86

Note that the negative sign indicates that the insurance company actually earned interest on this annuity, rather than the couple earning interest on their investment. This is because the withdrawals are greater than the deposits, and the interest rate earned by the insurance company is greater than the interest rate paid to the couple.

Step-by-step explanation:

So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

To learn more about slope from the given link:

https://brainly.com/question/2491620

#SPJ1

Answer:

2^16, 4^8 & 16^4

Step-by-step explanation:

=> (4^3)^2 × 4^2 = 4^6 × 4^2 = 4^8

=> 4^8 = (2^2)^8 =2^16

=> 4^8 = (4^2)^4 = 16^4

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

To learn more about points refer to :

https://brainly.com/question/10626715

#SPJ1