Help with number 2

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Answer:

Exponential

Step-by-step explanation:

This equation represents an exponential function because it will have exponential growth. The equation has a variable as an exponent which causes exponential growth. If it were linear there would be constant growth and a common difference.

Answer:

5880972

hope it helps..

Answer:

A, B and P are colinear

Step-by-step explanation:

Given

Line AB

Point P

Required

Determine the relationship between A, B and P

From the question, we understand that P is a point on Line AB;

This means that between the edges of line AB, lies point P; The term for this kind of relationship is colinear relationship

Hence, A, B and P are colinear.

See Attachment for illustration

One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

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The value of r and ∅ are (a). r = 10 and ∅ = 2, (b). r = 2 and ∅ = 2 and (c). r = 1/2 and ∅ = 2.

In addition to the rectangular form, a complex number can also be represented in polar form. Typically, we write complex numbers as z = x + iy, where i is an imaginary integer. However, in polar form, complex numbers are modeled as a union of argument and modulus.

We have z = 2 (cos2 + isin2)

And given polar form is r(cos∅ + sin∅), where 0≤∅≤2π

To solve (a):

5z = 5 x 2 (cos2 + isin2)

5z = 10 (cos2 + isin2)

Comparing with the standard form,

r = 10 and ∅ = 2

To solve (b):

\(\bar{z}\) = conjugate of 2 (cos2 + isin2)

\(\bar{z}\) =2 (cos2 - isin2)

Comparing with the standard form,

r = 2 and ∅ = 2

To solve (c):

If z is a non-zero complex number and z=x+iy,

the (multiplicative) inverse of z, denoted by z⁻¹ or 1/z, is When z is written in polar form,

so that

z = r\(e^{(i)(\theta)}\)= r (cos θ+i sin θ), where r ≠ 0,

the inverse of z is (1/r) \(e^{(i)(-\theta)}\) = (1/r)(cos θ−i sin θ).

1/z = 1/2 (cos2 - isin2)

Comparing with the standard form,

r = 1/2 and ∅ = 2

Therefore, the values  (a). r = 10 and ∅ = 2, (b). r = 2 and ∅ = 2 and (c). r = 1/2 and ∅ = 2.

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Answer:50%

Step-by-step explanation: i think

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

B may be hjjjjjjjjjjjjj

Answer:

the third one to the left

Step-by-step explanation:

Answer:

x = 80°

Step-by-step explanation:

Find attached the complete question with diagram. Also find attached the diagram used for solving the question.

There area 3 angles in the diagram:

x + 8, 2x + 12, x + 20

Let the interior angles be labelled a, b, and c

a+ 2x+12 = 180° (sum of angles on a straight line)

a= 180-(2x+12) = 168 -2x in degrees

b+ x+20 = 180° (sum of angles on a straight line)

b = 180-(x+20) = 160 -x in degrees

c+ x+8 = 180° (sum of angles on a straight line)

c = 180-(x+8) = 172-x in degrees

a+b+c = 180° (sum of angles in triangle)

(168 -2x)° + (160 -x)° + (172-x)° = 180°

500 -4x = 180

500-180 = 4x

320 = 4x

x = 320/4

x = 80°

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

Step-by-step explanation:

we know this is a 2 dimensional shape so m*3 out, its m not ft so only answer is

24 m*2

Answer:

x+3 and x+ 2

=3x(x) 2x

=6x

Answer:

That is wrong bc it says quotient and quotient means a division sign which i dont see on your answer,

Step-by-step explanation:

The correct answer should be...

3/2x

Im srry if wrong (and the "/" means division)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Answer:

g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)

Step-by-step explanation:

From the graph, f(2) = 1

g(2) = 0.5(4)² = 8

So g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

what is your problem?    

Step-by-step explanation:

The value for f'(x) is a) f'(0) = -3/2,  b)  \(f'(0) = \frac{-15}{2} * cos(2^{(\frac{3}{2})})\).

To find the derivative f'(x) of the given functions, apply the chain rule and the power rule of differentiation. Calculate f'(x) for each function and evaluate f'(0).

a. f(x) = arctan(e⁽⁻³ˣ⁾)

To find f'(x), use the chain rule:

f'(x) = d/dx [arctan(e⁽⁻³ˣ⁾)]

= (1 / (1 + (e⁽⁻³ˣ⁾)²)) × d/dx[e^⁽⁻³ˣ⁾]

= (1 / (1 + e⁽⁻⁶ˣ⁾)) × (-3e⁽⁻³ˣ⁾)

To evaluate f'(0), substitute x = 0:

f'(0) = (1 / (1 + e⁰)) × (-3e⁰)

= (1 / 2) × (-3)

= -3/2

Therefore, f'(0) = -3/2.

b. \(f(x) = sin((x^3 - 5x + 2)^{(\frac{3}{2})})\)

To find f'(x), use the chain rule and the power rule:

\(f'(x) = \frac{d}{dx} sin((x^3 - 5x + 2)^{(\frac{3}{2})})\)

\(= cos((x^3 - 5x + 2)^{(\frac{3}{2})}) * \frac{d}{dx} [(x^3 - 5x + 2)^{(\frac{3}{2})}]\)

\(= cos((x^3 - 5x + 2)^{(\frac{3}{2})}) * \frac{3}{2} (2x^2 - 5)\)

To evaluate f'(0), substitute x = 0:

\(f'(0) = cos((0^3 - 5(0) + 2)^{(\frac{3}{2})}) * (\frac{3}{2}) * (2(0)^2 - 5)\)

\(= cos(2^{(\frac{3}{2})}) * (3/2) * (-5)\)

= \(\frac{-15}{2} * cos(2^{(\frac{3}{2})})\)

Therefore, \(f'(0) = \frac{-15}{2} * cos(2^{(\frac{3}{2})})\).

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The classmate who said the nth term of this geometric sequence is the n - 1 term multiplied by 10 stated the correct answer.

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, the nth term of a geometric sequence is given by this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows:

r = a₂/a₁

r = 0.1825/0.01825

Common ratio, r = 10.

Now, we can calculate the nth term of this geometric sequence as follows:

aₙ = a₁rⁿ⁻¹

aₙ = 0.01825 × 10ⁿ⁻¹

Assuming n = 2, we have:

a₂ = 0.01825 × 10²⁻¹

a₂ = 0.01825 × 10

a₂ = 0.1825

Assuming n = 3, we have:

a₃ = 0.01825 × 10³⁻¹

a₃ = 0.01825 × 10²

a₃ = 1.825

aₙ = (n - 1) × 10

Therefore, the nth term of this geometric sequence is the n - 1 term multiplied by 10.

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To find how much x represents of a y quantity as a percentage, we just find their ratio(x/y) and multiply by a hundred. Applying this to our situation, we just need to find the ratio between 19.2 and 20, and multiply by 100.

19.2 is equal to 96% of 20.

Answer:$49.50

Step-by-step explanation:

First you have to find what 10% of 55 is. So if you times 10% by 55 you come out with $5.5. So after that you must subtract 5.5 from 55 which comes out to $49.50.

Answer:

15 or -23

Step-by-step explanation:

I think you probably already turned this in but in case you haven't:

ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?

So there's two directions we could go.

Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)

But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)

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Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.

Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.

For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at

time t = 3.2 + (0.5 x t)

where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.

Once we have these values, we can rearrange the formula to solve for

k:k = rate of increase / original value

For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:

k = 0.5 / 3.2k = 0.15625

To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:

Mass at time t = 3.2 + (0.15625 x 8)

Mass at time t = 4.5 kg

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Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Step-by-step explanation:

6.5+6.5=diameter

Answer:

13 cm

Step-by-step explanation:

The diameter is twice the radius

The radius is 6.5 cm

diameter = 2 * 6.5 = 13 cm

Answer:

40 plus 19/ 9-3=40

19.

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Answer:

x=4

Step-by-step explanation:

i used mathaway

3x+2 = 7x-14