Thomas is saving pennies in a jar. The first day he saves 3 pennies, the second day 12 pennies, the third day 48 pennies, and so on. How many pennies does Thomas have on the eighth day?

we are given

[tex]f(x)=3-4x+6x^2-5x^3[/tex]

we can see that this is polynomial

so, firstly we will find degree and leading coefficients

Degree:

It is the highest exponent of the polynomial

highest exponent is 3

so, degree=3

which is odd

Leading coefficient:

It is the constant term multiplied to highest exponent term

we can see that

constant term is -5

so, leading coefficient is -5

which is negative

End behavior:

degree is odd and leading coefficient is negative

so, it rises to left and falls to right

or we can also write as

[tex]x-->-\infty, y-->\infty[/tex]

[tex]x-->\infty, y-->-\infty[/tex]

Answer:

Ends up in Quadrants II and IV

Step-by-step explanation:

Since the leading coefficient is −5 and the degree is 3, the function has the behavior described.

Team tool Bella gathered 15 pounds of wood in 1/3 of an hour.

1/3 of an hour is equal to 1/3 of 60 mins = 1/3 * 60 mins = 20 mins

We have to find their speed in pounds per hour( 60 mins).

Pounds of woods gathered in 1 hour or 60 mins = 15/20*60

= 15 * 3

= 45 pounds

Therefore, their speed in pounds per hour is 45 pounds / hour

Hope this helps ..!!

Thank you :)

Answer:

[tex]\frac{3\±\sqrt{3}}{3}[/tex]

Step-by-step explanation:

Whe have the function [tex]3x^2-6x+2=0[/tex]

To solve this equation we must factor.

To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

[tex]\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

Where:

a = 3

b = -6

c = 2

Then

[tex]\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}[/tex]

finally the correct answer is  [tex]\frac{3\±\sqrt{3}}{3}[/tex]

Final answer:

To solve the quadratic equation 3x² - 6x + 2 = 0, apply the quadratic formula with a=3, b=-6, and c=2, ultimately finding the solutions x = 1 + √(3) / 3 and x = 1 - √(3) / 3.

Explanation:

To solve the quadratic equation 3x² - 6x + 2 = 0, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a) where a, b, and c are coefficients from the equation ax² + bx + c = 0. In this equation, it is given a = 3, b = -6, and c = 2. Substituting these values into the formula gives us:

x = (6 ± √((-6)² - 4 · 3 · 2)) / (2 · 3)

x = (6 ± √(36 - 24)) / 6

x = (6 ± √(12)) / 6

x = (6 ± 2 √(3)) / 6

x = 1 ± √(3) / 3

The two possible solutions for x are then x = 1 + √(3) / 3 and x = 1 - √(3) / 3.

The correct answer is 1.

To solve this problem, we need to evaluate the expression [tex]146 \div 144[/tex]and determine which of the given options it is equal to.

The calculation can be represented as:

[tex]146 \div 144 = \frac{146}{144}[/tex]

We can simplify this fraction by finding the common factor between the numerator and denominator and dividing both by that factor.

[tex]\frac{146}{144} = \frac{73 \times 2}{72 \times 2} = \frac{73}{72}[/tex]

Now, we can divide the numerator by the denominator to find the final value.

[tex]\frac{73}{72} = 1.0138\overline{8}[/tex]

Therefore, the expression [tex]146 \div 144[/tex] is approximately equal to 1.

Complete question:

The expression [tex]146 \div 144[/tex] is equal to _____.

A) [tex]142[/tex]

B) [tex]2[/tex]

C) [tex]14^{10}[/tex]

D) [tex]1[/tex]

Answer:  The required common ratio of the given geometric sequence is -3.

Step-by-step explanation:  We are given to find the common ratio of the following geometric sequence :

-2,   6,   -18,   54,   .    .    .

We know that

if a(n) denotes the nth term of a geometric sequence, then the common ratio is given by

[tex]r=\dfrac{a_{n+1}}{a_{n}}.[/tex]

For the given sequence, we see that

[tex]\dfrac{a(2)}{a(1)}=\dfrac{6}{-2}=-3,\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{-18}{6}=-3,\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{54}{-18}=-3,\\\\\vdots[/tex]

Therefore, the common ratio is given by

r = -3.

Thus, the required common ratio of the given geometric sequence is -3.

Step-by-step explanation:

The answer is A: (32 × ^5)/7

Answer:

Its actually C his whole explanation is wrong

Step-by-step explanation:

Final answer:

The gym teacher's belief is justified by using the empirical rule, which describes the distribution of data in a normal distribution. Since 68% of the girls fall within 1 standard deviation of the mean, it's likely that 95% fall within 2 standard deviations, supporting her height range belief.

Explanation:

The gym teacher's belief can be justified by understanding the properties of the normal distribution and the empirical rule. The empirical rule states that for a normal distribution:

Approximately 68% of the data will fall within 1 standard deviation (±1σ) of the mean.

Approximately 95% of the data will fall within 2 standard deviations (±2σ) of the mean.

Approximately 99.7% of the data will fall within 3 standard deviations (±3σ) of the mean.

In the teacher's class, 68% of the girls are between 5'2” and 5'6”, which is within 1 standard deviation of the mean height of 5'4”. Therefore, it's likely that 95% of the girls would fall within 2 standard deviations, which explains her belief that 95% of the girls would be between 5’0” to 5’8”.

The function y=4^-2x represents exponential decay. The percent rate of change is 6.25%.

The function y=4-2x represents exponential decay. In an exponential decay function, as the value of x increases, the value of y decreases. On the other hand, in exponential growth, as the value of x increases, the value of y increases.

The percent rate of change can be found by determining the decay factor, which is equal to 1 divided by the base of the exponential function raised to the power of the exponent.

In this case, the decay factor would be 4-2 = 1/16. To find the percent rate of change, we can convert the decay factor to a percentage by multiplying it by 100%, so the percent rate of change would be 1/16 * 100% = 6.25%.

Solution:

Value of Stock three weeks ago = [tex]49 \frac{1}{4}[/tex]

Current value of stock = [tex]49 \frac{7}{8}[/tex]

Total increase= [tex]49 \frac{7}{8}[/tex]-[tex]49 \frac{1}{4}[/tex]=[tex]\frac{5}{8}[/tex]

So, we can conclude from above two observation, that

The market value of that stock or bond has rose higher the reason being value of the  organization  or product i.e stock is slanting in upward direction.Why value of  organization has increased because company has cordial relationship with it's employees, clients and the people attached with this  organization, means distribution of profit is equally shared between owner and people attached with this organization.  

Answer:

Option A -  [tex]log_7 50=2.010[/tex]            

Step-by-step explanation:

Given : The expression [tex]log_7 50[/tex]

To find : Which of the following is equivalent and rounded to three decimal places.

Solution :

We solve the given expression  [tex]log_7 50[/tex] using calculator

We get, [tex]log_7 50=2.0103821378[/tex]

Rounded to three decimal places

[tex]log_7 50=2.010[/tex]

Therefore, Option A is correct.

Answer:for oddysey the answer to number 6 is 10833

Step-by-step explanation:

Answer:

the answer is C.] 343

To compare the amount of paint Enya would use to paint all but the bottom surface of the storage cupboard to the amount she would use to paint the entire prism, calculate the surface area of the prism and the surface area of all but the bottom surface of the prism. Then, divide the surface area of all but the bottom surface by the surface area of the entire prism and multiply by 100. Round the final answer to the nearest tenth.

To compare the amount of paint Enya would use to paint all but the bottom surface of the storage cupboard to the amount she would use to paint the entire prism, we need to calculate the surface area of the prism and the surface area of all but the bottom surface of the prism.

Step 1: Calculate the surface area of the prism by adding the areas of all its faces. The prism has two rectangular faces with dimensions 2.3 ft by 3.6 ft, two rectangular faces with dimensions 2.3 ft by 2.3 ft, and one rectangular face with dimensions 3.6 ft by 2.3 ft.

Step 2: Calculate the surface area of all but the bottom surface of the prism by subtracting the area of the bottom surface from the total surface area of the prism. The bottom surface has dimensions 2.3 ft by 2.3 ft.

Step 3: Calculate the percentage by dividing the surface area of all but the bottom surface of the prism by the surface area of the entire prism and multiplying by 100. Round the final answer to the nearest tenth.

Answer:

(0.9)(0.77)  

Step-by-step explanation:

(0.9)(0.77)  

Since the two events are independent you can use the multiplication rule