Which of the following is the equation of the line that has x-intercept -2 and y-intercept -6?
А. y=-3x - 6
B. y=-2x - 6
C. y=-6x-2
D. y = 3x - 2

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Your equation will be the following.

3/4x-10≥5

Three fourths of a number would be \(3/4x\)

Decreased by 10 would be subtracted by \(10\).

Greater than or equal to 5 would be \(\leq 5\)

If this helped please mark me as brainliest!

\(S_1 = \frac{a+b}{2}h = \frac{7+9}{2}*5=\frac{18*5}{2}= 9 * 5 = 45~m^2\)

\(S_\triangle = \frac{ab}{2} = \frac{5*9}{2} = \frac{45}{2} = 22,5~m^2\)

\(S = S_1 + S_\triangle = 45 + 22,5 = 67,5~m^2\)

Answer: 67,5 m².

Answer:

Rat rat rat rat:)

Step-by-step explanation:

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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The value of cos Θ /2 and tan Θ /2 can be found to be:

We are given that  90° < Θ < 180°,  which means that theta would be in the second quadrant.

We can therefore use half - angle formulas to find cos Θ /2 and tan Θ /2.

To find cos Θ /2, we have:

cos(Θ/2) = ±√((1 + cos(Θ))/2)

cos(Θ/2) = ±√((1 - √(4/13))/2)

cos(Θ/2) = √((1 - √(4/13))/2)

To find tan Θ /2, we have:

tan(Θ/2) = ±√((1 - cos(Θ))/(1 + cos(Θ)))

tan(Θ/2) = ±√((1 + √(4/13))/(1 - √(4/13)))

tan(Θ/2) = √((1 + √(4/13))/(1 - √(4/13)))

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The full question is:

Suppose that tan Θ = - 3/2 and 90 °< Θ < 180 °.

Find the exact values of cos Θ /2 and tan Θ /2

The odds that a random baseball player chosen from this population weighs less than 160 pounds is approximately 0.1587, or 15.87%.

To calculate the odds that a random baseball player chosen from this population weighs less than 160 pounds, we need to use the concept of standard normal distribution.

Given:

Mean weight (μ) = 175 pounds

Standard deviation (σ) = 15 pounds

To determine the probability of a player weighing less than 160 pounds, we need to convert this value to a standard score (z-score) using the formula:

z = (X - μ) / σ

where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

Plugging in the values, we have:

z = (160 - 175) / 15

z = -15 / 15

z = -1

Now, we need to find the probability associated with the z-score of -1 using a standard normal distribution table or a calculator.

Looking up the z-score of -1 in a standard normal distribution table, we find that the probability corresponding to this z-score is approximately 0.1587.

Therefore, the odds that a random baseball player chosen from this population weighs less than 160 pounds is approximately 0.1587, or 15.87%.

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Answer:

The answer is equivalent

Answer:

2180

Step-by-step explanation:

35x24=840

50x5=250

add those tou get 1090

multiply by 2

2180

(a) For the null hypothesis, we would use the claim that the average weight of a healthy 3-month-old colt is equal to 60 kg, that is,

H0 : μ = 60 kg.

(b) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is less than 60 kg, that is,

H1: μ < 60 kg.

(c) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is greater than 60 kg, that is, H1: μ > 60 kg.

(d) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is different from 60 kg, that is, H1: μ ≠ 60 kg.

(e) For the test in part (b), the area corresponding to the p-value would be on the left of the mean because the alternate hypothesis is one-tailed and represents a left-tailed test.

For the test in part (c), the area corresponding to the p-value would be on the right of the mean because the alternate hypothesis is one-tailed and represents a right-tailed test.

For the test in part (d), the area corresponding to the p-value would be on both sides of the mean because the alternate hypothesis is two-tailed and represents a two-tailed test.

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Answer: The value of x is 3.45%

Step-by-step explanation:

We can solve the problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time in years

In the first year, Charlie gets 2% interest, compounded annually. So, using the formula, we have:

A1 = 4000(1 + 0.02/1)^(1*1)

A1 = 4080

After the first year, Charlie has £4080 in her account. For the next two years, she gets x% interest, compounded annually. Using the formula again, we have:

A2 = 4080(1 + x/100/1)^(1*2)

A2 = 4080(1 + x/100)^2

Finally, after three years, Charlie has £4228.20 in her account. So, we can set up an equation:

A1 * A2 = 4000 * (1 + 0.02) * 4228.20

Substituting the values of A1 and A2, we get:

4080(1 + x/100)^2 = 4366.4496

Dividing both sides by 4080, we get:

(1 + x/100)^2 = 1.0694

Taking the square root of both sides, we get:

1 + x/100 = 1.0345

Subtracting 1 from both sides and multiplying by 100, we get:

x = 3.45

Therefore, the value of x is 3.45%.

Overloading in object-oriented programming enables class methods with different parameter lists and return types to perform distinct tasks based on input parameters, improving readability and reducing code complexity.

In the object-oriented model, if class methods have the same name but different parameter lists and/or return types, they are said to be Overloaded.

In object-oriented programming (OOP), overloading refers to the ability of a function or method to be used for a variety of purposes that share the same name but have different input parameters (a parameter is a variable that is used in a method to refer to the data that is passed to it).In object-oriented programming, method overloading allows developers to use the same method name to perform distinct tasks based on the input parameters. The output of the method is determined by the input parameters passed. This enhances the readability of the program and makes it easier to use because it minimizes the number of method names used for distinct tasks.The overloaded method allows the same class method to be used to execute a variety of operations.

It's a great feature for developers because it lets them write fewer lines of code. Overloaded methods are commonly employed when the same task can be completed in multiple ways based on the input parameters.

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The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

the unit of length ,mass , and time are same in both the system , thus, the SI system is the extended from of MKS system.

and why is the subject math lol

True, If the end index for slicing specifies a location after the end of the alphabet, Python will use the list's length instead.

What is slicing?

In Python, there is a concept of string, list and tuples. Sometimes it is required to access part of those string, list and tuples. This is known as slicing.

In case of slicing, suppose the the end index specifies a position beyond the end of the list, Python will return to the default length of the string. So there will be no error if the end index specifies a position beyond the end of the list.

So the above sentence is a true sentence.

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Answer:

7x-5-5x=15

7x-5x =15+5

2x=20

X=20/2

X=10

Answer = 10

Answer:

The surface area is 70 yards

Step-by-step explanation:

The formula for surface area is (SA)=2lw+2lh+2hw. Meaning it would be 2 times (8 times 3 + 8 times 1 + 3 times 1) which equals 70 yards.

The average value of f(x, y, z) = z over the region bounded below by the xy-plane, on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, and bounded above by the cone z = \(\sqrt{(x^2 + y^2)}\) is 0.

To find the average value of a function f(x, y, z) = z over the given region, we first define the boundaries. The region is bounded below by the xy-plane, meaning all points have z = 0.

It is bounded on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, which represents a solid sphere centered at the origin with a radius of 9. Finally, it is bounded above by the cone z = √\(\sqrt{(x^2 + y^2)}\), where the height of the cone is equal to the distance from the origin.

To calculate the average value, we need to find the volume of the region and compute the triple integral of f(x, y, z) = z over that volume.

However, since the function f(x, y, z) = z is an odd function with respect to z and the region is symmetric, the positive and negative contributions of z will cancel each other out, resulting in an average value of 0.

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Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

10 ft²

Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

Volume = Base Area x Height

In our case we are given

Volume = 15 ft³ and Base Area = 1.5 ft

Substituting these known values into the formula gives:

Volume = Base Area x Height

15 = Base Area x 1.5

Base Area = 15 / 1.5

Base Area = 10 ft²

The value of the mathematical expression 4⁻² x 4⁵ will be 64.

What is a mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 4⁻² x 4⁵

Now,

Solve the expression as;

⇒ 4⁻² x 4⁵

By apply the rule of exponent, we get;

⇒ 4⁻² ⁺ ⁵

⇒ 4³

⇒ 4 x 4 x 4

⇒ 64

Therefore, The value of the mathematical expression 4⁻² x 4⁵ will be 64.

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The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.

The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.

Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%

Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.

To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years

Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:

Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33

Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:

Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400

Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.

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Answer: The incenter

Step-by-step explanation:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.

Answer:

x = 7 (the number of students)

Step-by-step explanation:

let students = x , adults =y

Equation 1: the  total number of them

x+y=25  (25 because there are 5 for free)

Equation 2: the total price of them

2x+5y=104       (student cost 2$, adult cost 5$)

so we have two equations

x+y=25      (by multiply this equation by -2)

so it will be -2x-2y=-50

by adding 2 equations

-2x-2y=-50

2x+5y=104

0+3y = 54   divide both side by 3

y=18      (the number of adults)

by sub. in Equation (x+y=25)

x+18=25

x=25-18

x = 7 (the number of students)

Answer:

I think 90

Step-by-step explanation:

a+c/2*m

1. The average speed of a car traveling at 50 km/h for 30 minutes, and then at 71 km/h for one hour is 64km/hr.

2. If a racing car has to maintain an average speed of 180 km/h for four laps of a racetrack so that the driver can qualify for a race and the average speed of the first lap is 150 km/h and that of the second lap, 170 km/h, then the average speed of the last two laps is 20km/hr to ensure that the driver qualifies.

1. To calculate the average speed of the car, follow these steps:

Therefore, the average speed of the car is 64 km/h.

2. To calculate the average speed of the last two laps to ensure that the driver qualifies, follow these steps:

Therefore, the average speed for the last two laps must be 20 km/h to ensure the driver qualifies.

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The solutions to the differential equation y' = 2y are y = 0 and y = 2x. The solution y = 0 represents a constant function. The solution y = 2x represents a family of exponential functions.

The given differential equation is y' = 2y, where y' represents the derivative of y with respect to x. To solve this equation, we can separate variables by moving all terms involving y to one side and terms involving x to the other side:

dy/y = 2dx

Next, we integrate both sides of the equation. The integral of dy/y is ln|y|, and the integral of 2dx is 2x:

ln|y| = 2x + C

Here, C is the constant of integration. To simplify the equation, we can rewrite it as:

|y| = e^(2x + C)

Since e^(2x + C) is always positive, we can remove the absolute value sign:

y = ±e^(2x + C)

Now, let's consider the two cases separately.

Case 1: y = 0

If y = 0, then the exponential term becomes e^C, which is a constant. This implies that y remains zero for all values of x. Therefore, y = 0 is a solution to the differential equation.

Case 2: y ≠ 0

If y ≠ 0, we can rewrite the solution as:

y = ±e^C * e^(2x)

Since e^C is a constant, we can replace it with another constant, let's call it K:

y = ±K * e^(2x)

Here, ±K represents a family of exponential functions that grow or decay exponentially with a rate proportional to 2. Each value of K corresponds to a different solution to the differential equation.

In summary, the solutions to the differential equation y' = 2y are y = 0 and y = ±K * e^(2x), where K is a constant. The solution y = 0 represents a constant function, while y = ±K * e^(2x) represents a family of exponential functions.

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Am sorry but it think you have forgotten to write the equation or to add an image

Answer:

$322000

Step-by-step explanation:

A woman owns the W½ of the NW¼ of the NW¼ of a section.

= 640/2/4/4 = 20 acres

She wants to buy remaining of NW 1/4  = 640/4-20 = 140 acres.

It would cost = 140*2300 = $322000

Therefore, it cost $32000 to purchase the part.

Answer:

\(\begin{cases}y \geq -\dfrac{1}{2}x+2\\\\y > 2x-3\end{cases}\)

Step-by-step explanation:

Find the equations of the two lines by substituting two points on each line into the slope formula to find the slope, then substituting the found slope and one of the points into the point-slope formula.

Equation of Line 1

Points on the line:  (0, 2) and (2, 1).

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-2}{2-0}=-\dfrac{1}{2}\)

Substitute the found slope and one of the points into the point-slope formula:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-2=-\dfrac{1}{2}(x-0)\)

\(\implies y=-\dfrac{1}{2}x+2\)

Equation of Line 2

Points on the line:  (0, -3) and (2, 1).

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-3)}{2-0}=-\dfrac{4}{2}=2\)

Substitute the found slope and one of the points into the point-slope formula:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-(-3)=2(x-0)\)

\(\implies y=2x-3\)

When graphing inequalities:

As the line for equation 1 is solid and there is shading above the line, the line is represented by the inequality:

\(\boxed{y \geq -\dfrac{1}{2}x+2}\)

As the line for equation 2 is dashed and there is shading above the line, the line is represented by the inequality:

\(\boxed{y > 2x-3}\)

Therefore, the system of linear inequalities shown in the graph is:

\(\begin{cases}y \geq -\dfrac{1}{2}x+2\\\\y > 2x-3\end{cases}\)