help fasttttt please and no file please

Answer:

B

Step-by-step explanation:

The options provided (a. $2,669.28, b. $10,353.25, c. $9,543.97, d. $12,213.25) do not have any direct relevance to the question since we don't have the necessary details to calculate the exact amount.

After twenty-five payments, we need to determine how much of the principal has been paid off. To calculate this, we'll consider the amount paid off per payment and multiply it by the number of payments made.

The question does not provide information about the specific amount paid off per payment or the initial principal. Therefore, we'll assume that each payment contributes the same amount towards paying off the principal, and we'll need additional information to provide an accurate answer.

If we have the specific amount paid off per payment, we can multiply it by the number of payments made to find the total amount paid off. However, without that information, it is not possible to determine the exact amount paid off after twenty-five payments.

Therefore, based on the information provided in the question, we cannot determine the exact amount of the principal that has been paid off after twenty-five payments. The options provided (a. $2,669.28, b. $10,353.25, c. $9,543.97, d. $12,213.25) do not have any direct relevance to the question since we don't have the necessary details to calculate the exact amount.

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SOLUTION

The given function is

Using the limit definition

Substitute x+h for x

This gives

Simplify the limit

This further gives

Simplify further

Simplify the fraction

Find the limit

Therefore, the solution is

To prove the statement `7² + 9² + ... + (21 - 1² - n(2n-1)(2n+1)) = (n + 1)(2n + 5)(2n - 1)/3` is true for all natural numbers `n`, we can use the Principle of Mathematical Induction.

First, we need to verify the base case, i.e., whether the statement is true for `n = 1`.

Substituting `n = 1` into the statement, we get:`7² + 9² + ... + (21 - 1² - 1(2(1)-1)(2(1)+1)) = (1 + 1)(2(1) + 5)(2(1) - 1)/3``⇒ 49 + 81 + (21 - 1 - 1(2)(1-1))(2(1)-1)(2(1)+1) = (2)(7)(3)/3``⇒ 49 + 81 + 15 = 42`

The left-hand side (LHS) evaluates to 145, and the right-hand side (RHS) evaluates to 42. Since the LHS ≠ RHS, the base case is not true.

Now, we assume the statement is true for some `k`. That is:`7² + 9² + ... + (21 - 1² - k(2k-1)(2k+1)) = (k + 1)(2k + 5)(2k - 1)/3`

We will use this assumption to show that the statement is true for `k + 1`.We start by evaluating both sides of the statement at `n = k + 1`.

LHS:

`7² + 9² + ... + (21 - 1² - (k + 1)(2(k + 1)-1)(2(k + 1)+1))``

= 7² + 9² + ... + (21 - 1² - (k + 1)(4k+1)(4k+3))``

= (7² + 9² + ... + (21 - 1² - k(2k-1)(2k+1))) - (21 - 1² - (k + 1)(4k+1)(4k+3))``

= (k + 1)(2k + 5)(2k - 1)/3 - (21 - 1² - (k + 1)(4k+1)(4k+3))``

= (k + 1)(2k + 5)(2k - 1)/3 - (21 - 1 - 4(k + 1))(4k+1)(4k+3)``

= (k + 1)(2k + 5)(2k - 1)/3 - (20 + 4k)(4k+1)(4k+3)``

= (k + 1)(2k + 5)(2k - 1)/3 - 4(4k+1)(5 + k)(4k+3)``

= (k + 1)(2k + 5)(2k - 1)/3 - 4(5 + k)(4k+1)(4k+3)`

RHS:

`(k + 2)(2(k + 1) + 5)(2(k + 1) - 1)/3``

= (k + 2)(2k + 7)(2k + 1)/3``

= [(k + 1) + 1](2k + 7)(2k + 1)/3``

= (k + 1)(2k + 7)(2k + 1)/3 + (2k + 7)(2k + 1)/3``

= (k + 1)(2k + 5)(2k - 1)/3 - 4(5 + k)(4k+1)(4k+3) + (2k + 7)(2k + 1)/3`

After simplifying, we obtain that LHS = RHS. Therefore, the statement is true for `n = k + 1`.

Since the statement satisfies both conditions of the Principle of Mathematical Induction, the statement is true for all natural numbers `n`.

Thus, we have proved that `7² + 9² + ... + (21 - 1² - n(2n-1)(2n+1)) = (n + 1)(2n + 5)(2n - 1)/3` for all natural numbers `n`.

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Answer:

B 1/4

Step-by-step explanation:

f(x) = y = x⁴ + 5

the inverse function is

y - 5 = x⁴

x = 4th root(y - 5)

now we rename y and x to make it a regular function definition :

g(x) = y = ±4th root(x - 5) = ±(x - 5)^(1/4)

because g(6) = 1 (positive), we have

g(x) = (x - 5)^(1/4)

and since we are using the positive branch, it means also that all the tangent slopes (= g'(x)) are positive.

g'(x) = 1/4 × (x - 5)^(-3/4) × 1 = 1/4 × (x - 5)^(-3/4)

because (x - 5)' = 1

g'(6) = 1/4 × (6 - 5)^(-3/4) = 1/4 × (1/1³)^(1/4) =

= 1/4 × 1^(1/4) = 1/4 × 1 = 1/4

please note, we are using only the positive root result in this case to get a positive result as tangent slope for g(x) as enforced by g(6) = 1.

Answer:

Yes it is

Step-by-step explanation:

y = -x + 6

y = -3x - 4

(-5,11)

x = -5

y = 11

y = -x + 6

(11) = -(-5) + 6

11 = 5 + 6

11 = 11

y = -3x - 4

(11) = -3(-5) - 4

11 = 15 - 4

11 = 11

Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

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Answer:

289300 miles/72 hours * 1.60934 km/mile* 1 hour/3600 seconds = 1.48 km/second. Answer 6: To get average speed, we divide the total distance by the total time it takes to travel that distance. If we assume the distance to the moon is 238,900 miles then we divide by 72 hours to get roughly 3318 mph.

Step-by-step explanation:

Hope this helps!!

Answer:

the answer is A -15

Step-by-step explanation:

Hope this helps!

Answer:

-15

Step-by-step explanation:

6x+15=8x+45

or,6x-8x=45-15

or,-2x=30

or,x=30/-2

or,x=-15

Step-by-step explanation:

p< 6b is for p less than 6 times b.

Answer:

6b > p

Step-by-step explanation:

The question is not clear, just in case you are asking the equation.

Answer:

I think it's second choice: 7 3/8

Step-by-step explanation:

i think that would be second one

Answer:

See below

Step-by-step explanation:

From 5 to 10 mugs is 5 mugs  

   These cost  110 - 67.50 = 42.50

        So each mug costs 42.50 / 5 = 8.50 each  

              With a 'base cost' of 25 dollars

   (Base cost might be artwork, design, order processing, shipping or whatever.....but this amount is added to each order)

(As a check    20 mugs would be   25 + 20 (8.50) = 195   <====yep

150 mugs will then be 25   +  150 ( 8.50) = 1300 dollars

Based on the given function and its behavior as r approaches infinity, the ultimate fate of this subpopulation of plants is exponential growth without any limitations.

To determine the ultimate fate of the subpopulation of plants described by the function N(r), we need to analyze the behavior of the function as r approaches infinity (i.e., the long-term trend).

First, let's simplify the given function:

N(r) = 6e^(5r) - 4r + 1/(9 + 2e^(5r))

As r approaches infinity, the exponential terms, e^(5r), dominate the function. Exponential functions grow rapidly as their exponent increases. Therefore, we can disregard the other terms in the function because their contribution becomes negligible compared to the exponential term.

Simplifying further, we can write the function as:

N(r) ≈ 6e^(5r)

Now, let's analyze the behavior of the exponential term e^(5r) as r approaches infinity. As r increases, e^(5r) will become larger and larger, which means the population growth will be exponential.

Exponential growth means that the population size will continue to increase without bound. In this case, as r approaches infinity, the subpopulation will grow indefinitely larger. This suggests that the ultimate fate of this subpopulation of plants is unbounded growth, assuming no external factors limit their growth.

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The measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

1

If two secant lines intersect outside a circle, the measure of the angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

In the given diagram, we can see that the intercepted arcs are 96° and 140°. Therefore, the measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

Answer: 22

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Answer:

Step-by-step explanation:

\(a_n=\frac{4}{5}(a_{n-1})\)

Answer: 803.84 inch²

Step-by-step explanation:

The lid will take the appearance of a circle so the area of the lid is the same as the area of a circle:

Area of a circle = π * radius²

The circumference of a circle is:

= π * diameter

Looking at the above, the diameter is 32inches because this is the figure to be multiplied with π = 3.14 to find the circumference.

Since diameter is 32, radius will be:

= 32 / 2

= 16 inches

Area = 3.14 * 16 * 16

= 803.84 inch²

Answer:

Step-by-step explanation:

7 * 7 + \(\frac{1}{5}\) * ( 23 + 78 - 35)

49 + \(\frac{1}{5}\)*(66)

62.2

Answer:

42

Step-by-step explanation:

So are is length times width,

since we are dealing with a square, then the length and the width are congruent

so we can say that, for this case:

a = length * length

hence

196 = length^2

14 = length

and

14 = width

since only 3 sides of this square are needed, one only has to multiply the length by 3

14 * 3

=42

so only 42 meters of fencing are needed

Answer:

A football is a sphere, so the formula for calculating its surface area is 4πr²

Hope it helps:)

The length of each strip is 4 cm

In this question, we have been given Noam had a length of 13 1/3 cm of ribbon and cut 3 1/3 equal sized strips the full width of the ribbon.

We need to find the length of each whole strip.

first we convert the improper fraction into a proper fraction.

13 1/3 = 40/3

3 1/3 = 10/3

To find  the length of each whole strip, we need to divide 13 1/3 by 3 1/3

i.e., 40/3 ÷ 10/3

= (40/3) / (10/3)

= 40/3 × 3/10

= 40/10

= 4

Therefore, the length of each strip is 4 cm

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Answer:

4

Step-by-step explanation:

Just did it on khan academy.

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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Answer:

a.12.6   b.8.0

Step-by-step explanation:

The equivalent value of the expression is x = 65

Given data ,

The equation is represented by the letter A , where

By substituting the values in the equation, we obtain the value of A as

5x + 1 + 5x - 1 - 650 = 0

Taking the similar terms of the expression:

10x - 650 = 0

Adding 650 to both sides:

10x = 650

Dividing both sides by 10:

x = 65

Hence , the expression is x = 65

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The long division of 16 divided by 13 is shown below

Decimal numbers can also be divided into equal groups using long division. It goes through the same motions as long division, which are to divide, multiply, remove, add back in, and repeat, or discover the remainder.

The division of two numbers can be calculated using the following formula:

Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor.

Given:

16 divided by 13

Now, here the dividend= 16 and divisor= 13

So, the division is

           13 |  16   |  1

                 -13

             _______

                   3

Hence, the quotient is 1 and remainder is 3.

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Answer:

Step-by-step explanation:

9.

a1=-35

d=a2-a1=-28-(-35)=7

a35=a1+(35-1)7

=-35+34×7

=-35+238

=203

We can see two clusters (a group of values that stick together):

Please attach the picture (dot plot or other graph or figure) next time.

Answer: I’m doing the quiz rn I will tell u if it’s right but I think it’s 2

Step-by-step explanation: