You had 23 dollars to spend on 4 avocados. They were very green. After buying them you had 11 dollars. How much did each avocado cost?

Answer:

root(7/2) and root (-7/2) are the roots then (x-root(7/2))(x-root(-7/2))= some quadratic polynomial then divide f(x) by this quadratic polynomial to get the other two roots

Step-by-step explanation:THE QUESTION IS HARD

Answer:

20.4 years (nearest tenth)

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for t:

\(\implies \sf 15000=6000\left(1+\frac{0.045}{12}\right)^{12t}\)

\(\implies \sf \dfrac{15000}{6000}=\left(1.00375\right)^{12t}\)

\(\implies \sf 2.5=\left(1.00375\right)^{12t}\)

\(\implies \sf \ln (2.5)=\ln \left(1.00375\right)^{12t}\)

\(\implies \sf \ln (2.5)=12t \ln \left(1.00375\right)\)

\(\implies \sf t=\dfrac{\ln (2.5)}{12 \ln (1.00375)}\)

\(\implies \sf t=20.40017123\)

Therefore, it would take 20.4 years (nearest tenth) for the investment to reach $15,000.

Answer:

2/5

Step-by-step explanation:

If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.

Answer:

STEP 1: Change f (x) to y.

STEP 2: Interchange x and y in the equation. x → y. y → x.

STEP 3: Isolate the exponential expression on one side (left or right) of the equation.

Step-by-step explanation:

Answer:

D. pi

Step-by-step explanation:

Answer:

258751

Step-by-step explanation:

multiply and you'll get the answer

Answer:

x = 3

Step-by-step explanation:

2 + 6x = 20

6x = 18

x = 3

Hopefully this helps!

Brainliest please?

Answer:

2+6x=20

2-        -2

6x/6=18/6

=3

Step-by-step explanation:

↳- Answer -༉‧₊˚✧

This is super easy! The answer would be 38.3 because the question is asking how much more yards of stiped fabric does Pam have than floral fabric. Meaning that the question has to do with subtraction.

I hope this helped you somehow!! :)

- Cherry ❁ཻུ۪۪♡

Answer:

3645

Step-by-step explanation:

65610/18=3645

The correct statement regarding whether the triangle is equilateral is given as follows:

No, AB is not congruent to AC.​

An equilateral triangle is a triangle in which all the side lengths have the same measure.

Given the coordinates of the side lengths, we use the formula for the distance between two points to obtain the side lengths.

For example, the length AB is given as follows:

AB = sqrt([8 - 1]² + [-9 - 0]²)

AB = sqrt(130).

The length AC is given as follows:

AC = sqrt([1 - 9]² + [-9 - 8]²)

AC = sqrt(353).

AB is different of AC, hence the triangle is not equilateral.

More can be learned about equilateral triangles at https://brainly.com/question/1058720

#SPJ1

The general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

We are given the differential equation: d²y/dx - 36y = cosh(3x).

In this case, the homogeneous equation is d²y/dx - 36y = 0.

The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.

Since the roots are distinct and real, the general solution for the homogeneous equation is given by:

\(y_h = C_1e^{6x} + C_2e^{-6x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

The term cosh(3x) can be written as a linear combination of exponential functions using the identities:

\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)

Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)

Now, we assume the particular solution has the form:

\(y_p = A_1e^{3x} + A_2e^{-3x}\)

where A₁ and A₂ are undetermined coefficients.

Substituting these derivatives into the original differential equation, we get:

\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)

To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:

9A₁ - 36A₁ = 1/2,

9A₂ - 36A₂ = 1/2.

Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.

Thus, the particular solution is:

\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)

Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

To know more about differential equation here

https://brainly.com/question/30074964

#SPJ4

Answer:

  (-5x +y +1)(5x -y +1)

Step-by-step explanation:

You want the factored form of 1-25x²+10xy-y².

We recognize the last three terms as those of a perfect square trinomial:

  25x² -10xy +y² = (5x -y)²

Using this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.

  1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)

  = (-5x +y +1)(5x -y +1)

__

Additional comment

The forms we used here are ...

  (a -b)² = a² -2ab +b²

  a² -b² = (a -b)(a +b)

<95141404393>

The probability of rolling double ones or double sixes at least once in three rolls is 1 - 0.701 = 0.299, or approximately 29.9%.

There are a total of 6 x 6 = 36 possible outcomes when rolling a pair of dice, assuming the dice are fair and unbiased.

The probability of rolling double ones or double sixes on any one roll is 2/36 = 1/18. So, the probability of NOT rolling double ones or double sixes on any one roll is 1 - 1/18 = 17/18.

The probability of not rolling double ones or double sixes on all three rolls is \((17/18) \times (17/18) \times (17/18) = (17/18)^3 = 0.701.\)

Therefore, the probability of rolling double ones or double sixes at least once in three rolls is 1 - 0.701 = 0.299, or approximately 29.9%.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

\(y = (1/5) x^5 + Ce^ {(-x^5)}\) is the general solution of the given differential equation.

The given differential equation is:

y' + 5x⁴ y = x⁴

To solve this equation, we can use an integrating factor. First, we need to multiply both sides of the equation by the integrating factor, which is \(e^{(int 5x^4 dx)}\):

\(e^{(int 5x^4 dx) }y' + 5x^{4} e^{(int 5x^4 dx)} y = x^4 e^{(int 5x^4 dx)}\)

The integral of 5x⁴ is (5/5)x⁵ = x, so the integrating factor is \(e^{(x^5)}\):

\(e^{(x^5)} y' + 5x^{4} e^{(x^5)} y = x e^(x^5)\)

Now we can recognize the left-hand side as the product of the derivative of the product of \(e^{(x^5)\)and y:

\((d/dx)[e^{(x^5)} y] = x^4 e^{(x^5)}\)

Integrating both sides with respect to x, we get:

\(e^{(x^5)} y = (1/5) x^5 e^{(x^5)} + C\)

where C is the constant of integration. Dividing both sides by \(e^{(x^5)}\), we get the general solution:

\(y = (1/5) x^5 + Ce^(-x^5)\)

where C is an arbitrary constant.

\(y = (1/5) x^5 + Ce^{(-x^5)}\) is the general solution of the given differential equation.

Learn more about Integration:

https://brainly.com/question/30094386

#SPJ1

The mean of the given data is approximately 39.7.

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

In the given data set, the mean can be calculated as the sum of all the values divided by the number of entity in the data.

mean = {33.2+38.6+41.9+44.0+42.9+36.2+41.7+39.8+43.5+30.5+39.2} / 12

mean = 119 / 3

mean = 39.7

The mean of the data set is calculated as 39.66666 which is approximately 39.7.

Learn more on mean here;

https://brainly.com/question/1136789

#SPJ1

Answer:

Subtract 2 from both sides to get:

2 x = 4 w

Then, you could divide both sides by 2 to get:

x = 2 w

Therefore, the value of x is 2 w.

Answer:

  20 mph

Step-by-step explanation:

Given that a dolphin swam 7 1/2 miles in 3/8 hour, you want its average speed in miles per hour.

The average speed is the ratio of distance to time:

  speed = distance/time

  speed = (7 1/2 mi)/(3/8 h) = (15/2)(8/3) mi/h = 20 mi/h

The dolphin's average speed was 20 miles per hour.

Answer:

Hi friend! the answer is 64/3 or 21.3333333 or 21 1/3

Step-by-step explanation:

Answer:

64/3

Step-by-step explanation:

becaseu of math bro

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Answer:

1/4

Step-by-step explanation:

According to the question we can get

26/52 × 26/52

= 1/2 ×1/2

= 1/4

\(\mathrm{Domain\:of\:}\:\left|x-6\right|-6\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

\(\mathrm{Range\:of\:}\left|x-6\right|-6:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-6\:\\ \:\mathrm{Interval\:Notation:}&\:[-6,\:\infty \:)\end{bmatrix}\)

\(\mathrm{Axis\:interception\:points\:of}\:\left|x-6\right|-6:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\left(12,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)\)

\(\mathrm{Asymptotes\:of}\:\left|x-6\right|-6:\quad \mathrm{None}\)

\(\mathrm{Extreme\:Points\:of}\:\left|x-6\right|-6:\quad \mathrm{Minimum}\left(6,\:-6\right)\)

The main answer to your question about the sample worksheet would be the method or calculation used to determine the lower bound of compression for the process.

To compute the lower bound of compression, you would need to follow these steps:

Start by identifying the original size of the data or file before compression. This could be measured in bytes, kilobytes, or any other unit of measurement.

Then, determine the size of the data or file after compression. Again, this can be measured in the same unit as the original size.

Calculate the percentage decrease in size by using the formula:

Compression percentage = [(Original size - Compressed size) / Original size] * 100

Substitute the actual values into the formula and perform the calculations.

To further explain the calculation, let's assume the original size of the data is 500 kilobytes (KB) and after compression, it becomes 250 KB. Using the formula, we can find the compression percentage:

Compression percentage = [(500 KB - 250 KB) / 500 KB] * 100
                     = (250 KB / 500 KB) * 100
                     = 0.5 * 100
                     = 50%

Therefore, the lower bound of compression for this process is 50%.

In conclusion, the main answer to your question is to calculate the compression percentage using the given formula. In this example, the lower bound of compression is determined to be 50%.

To learn more about lower bound of compression visit:

brainly.com/question/30002795

#SPJ11

Answer:

b

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y /change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=3−(−2)9−(2)

Simplify.m=5/7

Answer:

Step-by-step explanation:

1) \(\overline{AC}\) bisects \(\overline{BD}\) and \(\overline{BC} \parallel \overline{AD}\) (given)

2) \(\overline{AE} \cong \overline{EC}\) (a bisector splits a segment into two congruent parts)

3) \(\angle BCE \cong \angle EAD\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) \(\angle CBE \cong \angle EDA\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) \(\triangle BEC \cong \triangle DEA\) (AAS)

Answer:

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

Use two points on the line:

Find the slope using slope equation:

Find the y-intercept using the point-slope equation and one of the points, (1, 6):

Convert it into slope-intercept form:

Answer:

  b > 1

Step-by-step explanation:

You want to know the conditions on an exponential function that represents growth.

The value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.

The relation represents growth when b > 1.

An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.

In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.

When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.

To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:

For x = 0, \(2^0\) = 1

For x = 1, \(2^1\) = 2

For x = 2, \(2^2\) = 4

For x = 3, \(2^3\) = 8

For x = 4, \(2^4\) = 16

As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.

It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.

In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.

Learn more about exponential function on:

https://brainly.com/question/12626186

#SPJ4

Answer:

B

Step-by-step explanation:

203.95 is equal to 4 of the tickets plus 11.95

You can write this as

203.95=4(price of ticket)+11.95

4(price of ticket)=192

Divide by 4

The price of a ticket is 48.

The equation would be 11.95+48t because its 48 times the amount of ticket plus the service fee.

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-