simplify 4y - 8y2 + 9y - 7y2.

The slope of the line is 1 and the y intercept is 2.

The linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

Let n represent the number of inches a plant grows after m months.

Taking two points (0, 2) and (6, 8), the equation is given by:

\(n-n_1=\frac{n_2-n_1}{m_2-m_!} (m-m_1)\\\\n-2=\frac{8-2}{6-0}(m-0) \\\\n=m+2\)

Therefore the slope of the line is 1 and the y intercept is 2.

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rAnswer: x-intercept: (-0.75, 0)

y-intercept: (0, 3/7)

Step-by-step explanation: An x and y intercept is the point when the line crosses the x and y axis respectively. When a line crosses the x axis, the y value is 0 and when the line crosses y axis, the x value is 0. This means   we can set y and x equal to 0 and solve for the other variable.

To solve for the x intercept, we set y equal 0 so:

-4x + 7(0) = 3

-4x = 3

x = -(3/4)

so we get

(-3/4, 0) or (-0.75, 0) for our x int

For the y intercept we set x equal 0:

-4(0) + 7y = 3

7y = 3

y = 3/7

so we get

(0, 3/7) for our y int

Answer:

6m 67cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

.75=3/4

8.75 cups divided by 12 cupcakes  = .73 (rounded up) cups of flour per cupcake

Answer:

2/16

5/40

Step-by-step explanation:

7384(x)748 (8967-888)

Answer: \((x,y) \to (4x,4y)\) which is choice (3)

======================================================

Explanation:

The general transformation of \((x,y) \to (kx,ky)\) describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

----------------------

Extra info:

The value of the real life expression is, simple interest = $12.5

The real life expression is given as:

simple interest = ($100) (0.05/year) (2.5 years

Divide 1 year by 1 year

simple interest = ($100) (0.05) (2.5)

Rewrite the equation as a product of factors

simple interest = ($100) * (0.05)*  (2.5)

Evaluate the product of 0.05 and 2.5

simple interest = ($100) * 0.125

Evaluate the product of $100 and 0.125

simple interest = $12.5

Hence, the value of the real life expression is, simple interest = $12.5

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Answer:

True

Step-by-step explanation:

Rectangles are a 2D shape that is actually a special type of parallelogram. It's sides are not parallel, but they share some other common traits that make them a special parallelogram. Hope this helps!

ln(6x) - ln(6y) = ln(6x/6y)

To simplify the expression ln(6x) - ln(6y) using the properties of logarithms, we can combine the two logarithms into a single logarithm by applying the quotient rule of logarithms.

The quotient rule states that ln(a) - ln(b) is equal to ln(a/b). In this case, we have ln(6x) - ln(6y). By applying the quotient rule, we can rewrite it as ln((6x)/(6y)).

Simplifying further, we can cancel out the common factor of 6 in the numerator and denominator, resulting in ln(x/y). Therefore, the expression ln(6x) - ln(6y) can be written as ln(x/y), where x and y are positive numbers.

By combining the two logarithms using the quotient rule, we obtain a single logarithm that represents the ratio of x to y. This simplification can be useful for further calculations or analysis involving logarithmic functions.

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Answer:

a) 11m

b)4.1cm

Step-by-step explanation:

if 1 cm = 2m

hence,

5.5cm = (5.5 x 2) = 11m

if 2m = 1cm

hence,

8.2 = (8.2 ÷ 2) = 4.1cm

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added

The product of the terms zw is 76{ cos(3π/16)+i sin (3π/16) }.

Given that,

The equation are z = 38[cos(π/8)+i sin(π/8)] and w = 2[cos(π/16)+i sin(π/16)]

We have to find the product of the zw.

Finding the product of two or more numbers in math is done through multiplication. It is a fundamental mathematical operation that is frequently applied in everyday situations. When combining groups of similar sizes, we use multiplication.

Take the equation,

zw= (38[cos(π/8)+i sin(π/8)])×(2[cos(π/16)+i sin(π/16)])

zw=(38×2){Cos(π/8+π/16)+i sin(π/8+π/16)}

zw= 76{ cos(3π/16)+i sin (3π/16) }

Therefore, the product of the terms zw is 76{ cos(3π/16)+i sin (3π/16) }.

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The time in 1800 more hours from 1300 hours on a 24-hour clock would be 0500 hours.

The time given is in the 24-hour format, which means 1300 hours is equivalent to 1:00 PM.

To find the time in 1800 more hours, we need to add 1800 hours to the current time of 1300 hours.

When we add 1800 to 1300, we get 3100. However, in a 24-hour clock, the time only goes up to 2359 before starting over at 0000. Therefore, we need to subtract 2400 from 3100 to get the correct time.

3100 - 2400 = 700

So, the time in 1800 more hours from 1300 hours on a 24-hour clock would be 0700 hours, which is equivalent to 7:00 AM.

However, the question asks for the time in 24-hour format, so we need to express the answer as 0500 hours, which is equivalent to 5:00 AM.

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Answer:

my question was the same but nobody answered

Answer:

my question was also same

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Step-by-step explanation:

given :

log 2 = a and log 3 = b

log 120 =?

solution :

log 120 = log 12×10

= log 2²×3×10

= log 2²+log3 +log 10

= 2.log 2 + log 3 + log 10

= 2a + b + 1

Answer:

POINT A

Step-by-step explanation:

it is 4 units to the left and 6 units up of the origin

Answer:

2 1/12

The answer should be 2 1/12

(Two and one over twelve)

or

(Two and a one twelfth)

Answer:

2.1

Step-by-step explanation:

...........................

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

Answer:

Chesa will make 4 gallons of soup this year.

Step-by-step explanation:

If you multiply 32 times 2 you will get 64. You then find out how many cups are in a gallon. If 16 cups are in a gallon, you then divide 64 by 16. Your answer should be 4.

Answer:

Chesa will make 4 gallons of soup this year.

Step-by-step explanation:

The 4-2-1 rule is a guideline used to help determine the amount of water an individual needs to drink each day.

The rule states that an individual should drink 4 liters of water for every 50 pounds of body weight, 2 liters of water for every 50 pounds of body weight if they are exercising, and 1 liter of water for every 50 pounds of body weight if they are in a hot or dry environment.

To calculate how much water you need to drink using the 4-2-1 rule, simply follow these steps:

1. Determine your body weight in pounds.
2. Divide your body weight by 50 to get the number of 50-pound increments in your weight.
3. Multiply the number of 50-pound increments by 4 to get the amount of water you need to drink if you are not exercising or in a hot or dry environment.
4. Multiply the number of 50-pound increments by 2 to get the amount of water you need to drink if you are exercising.
5. Multiply the number of 50-pound increments by 1 to get the amount of water you need to drink if you are in a hot or dry environment.
6. Add the amounts from steps 3, 4, and 5 together to get the total amount of water you need to drink each day.

For example, if you weigh 150 pounds, you would need to drink 4 liters of water for every 50 pounds of body weight (150 / 50 = 3), 2 liters of water for every 50 pounds of body weight if you are exercising (3 x 2 = 6), and 1 liter of water for every 50 pounds of body weight if you are in a hot or dry environment (3 x 1 = 3). Therefore, you would need to drink a total of 13 liters of water each day (4 + 6 + 3 = 13).

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The coefficient of determination (R²) for the simple linear regression model fitted to the given data is 0.9.

The coefficient of determination (R²) measures the proportion of the total variance in the dependent variable (y) that can be explained by the independent variable (x) in a linear regression model.

It ranges from 0 to 1, where 0 indicates no linear relationship and 1 indicates a perfect linear relationship.

To find R², we need to calculate the sum of squares total (SST), sum of squares regression (SSR), and sum of squares error (SSE).

SST represents the total variation in y, SSR represents the variation in y explained by the regression model, and SSE represents the unexplained or residual variation.

Given that y₁ = 1, y₂= 2, y₃ = 3, y₄ = 4, and y₅ = 5, we can calculate the means of x and y, which are both 3.

The SST can be calculated as the sum of squared differences between each y value and the mean of y, which equals 10.

The SSE is given as s² = 1 multiplied by the degrees of freedom (n - 2), where n is the number of observations (5), resulting in SSE = 3.

Finally, SSR can be obtained by subtracting SSE from SST, which gives SSR = 7.

Using these values, we can calculate R² as SSR divided by SST:

R² = SSR/SST

= 7/10

= 0.7.

Therefore, the coefficient of determination for the given linear regression model is 0.7, indicating that 70% of the total variance in y can be explained by the linear relationship with x.

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The monthly annuity yield would be $1,962.85. To calculate this, first determine the number of months between age 59 and 70 (which is 132 months).

Then use the present value formula to solve for the monthly payment: $300,000 = PMT x ((1 - (1 + (0.085/12))^(-132))/(0.085/12)). Solving for PMT, you get a monthly payment of $1,962.85, which is the monthly annuity yield.

It's important to note that this calculation assumes that the annuity payments stop at age 70 and that there are no additional fees or taxes associated with the annuity. It's always a good idea to consult with a financial advisor to determine the best retirement strategy for your individual circumstances.

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Answer:

D. The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.

Step-by-step explanation:

The correct description of the vector is that the magnitude is √(113) and therefore the direction angle is 41°.

The magnitude of the vector is the length of the vector which can be calculated from the coordinate of its endpoint.

Let (x1,y1) and (x2,y2) are the coordinate of the two endpoints of a vector V.

The magnitude of the vector= |V|= √(y2-y1)²+(x2-x1)²

We have,

Origin of vector = (0,0)

And,

Terminal point = (8, 7)

Here,

a = 8 and  b = 7

Now,

To find the magnitude of the vector, we are going to use;

Formula, |v| = √(a² + b² )

|v| = √(8² + 7² )

|v| = √(64 + 49)

|v| = √113

So, the magnitude of the vector is √113.

Now,

Direction angle is find out using ;

Θ = tan ⁻¹ (b / a)

So, Here,

Θ = Angle Direction

Now,

Θ = tan ⁻¹ (7 / 8)

Θ = 41°

Therefore, the proper description of the vector is that the magnitude is √(113) and also the direction angle is 41°.

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Answer:

The mean is 3

Step-by-step explanation:

The data recorded by Ben shows the attendance log of his classmates over a given period of time.

This refers to a simple chart that resembles a histogram that is used to represent small data.

Hence, we can see that because Ben tracked the attendance of the class over a given time period with the frequency on a frequency table, a sample of a dot plot has been provided below,

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Answer: took the

Step-by-step explanation:

Answer:

∠ ADC = 113° , ∠ ABC = 85°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , then

∠ ADC + ∠ ACD + ∠ CAD = 180° , that is

∠ ADC + 39° + 28° = 180°

∠ ADC + 67° = 180° ( subtract 67°  from both sides )

∠ ADC = 113°

---------------------------

DA is an angle bisector of ∠ BAC , then

∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then

∠ ABC + ∠ BAC + ∠ ACB = 180° , that is

∠ ABC + 56° + 39° = 180°

∠ ABC + 95° = 180° ( subtract 95° from both sides )

∠ ABC = 85°

As given by the question

There are given that the numbers;

Now,

First make a table of numbers and their frequency.

So,

Now,

From the dot plot of the given numbers and their frequency.

So,

The dot plot of the given number is shown below:

Answer:

okay so basically it would be  choice A.

hope this helps ;)

- ♥

The cost of an $8,000 car including 5½% tax is 8440.