Find the equation of an exponential function, f(x) = ab^x, given the following points: (3, 10) and (4, 30)

Answer: The Egyptians, Babylonians, and Archimedes.

Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi.  At the time, Egyptians devised the approximated value of pi as 3.1605.  Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.  

Hopefully, this helps you!

Graph the solution of the inequality 4.5k>18 is equal to  k > 4 ( see image), by using the inequality equation.

Based on the given conditions,

4.5k>18

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

To solve given graph,

We can write,

4.5k>18

4.5k - 18 > 0

4.5k > 18

k > 18/4.5

We can get the division,

k > 4   (We can see image)

Therefore,

4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.

To learn more about information visit Inequality :

brainly.com/question/14301369

#SPJ1

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The parallel lines divide the side lengths proportionally.

  21/14 = (x+3)/x

  1.5 = 1 +3/x . . . . perform the division

  0.5 = 3/x . . . . . .subtract 1

  x = 6 . . . . . . . . . multiply by 2x

Answer:

y=5x+22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-(-5))

y+3=5(x+5)

y=5x+25-3

y=5x+22

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about  radical innovation :

https://brainly.com/question/14298323?

#SPJ4

The complete question is:

identify a characteristic of change managers that an organization should consider when employing people.

→ Change managers are nonconformists who take risks.

→ Having a large number of conformist is effective for an organization.

→ Change managers are usually regarded as peacemakers who follow rules.

→ Having a large number of radical innovators is effective for an organization.

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about radical innovation here:

brainly.com/question/14298323?

#SPJ11

Answer:

20%

Step-by-step explanation:

I know you want a quick answer so here lol.

Answer:

The correct answer is 20%

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

definition : the Vertex  of an angle is the common endpoint of two rays that form the angle.

angle 5   vertex M

angle 3    vertex  P

angle 8     vertex O

angle NMP   vertex M

In a first-order all-pass filter, the transfer function in the Laplace domain can be represented as H(s) = (s - z) / (s - p), where 'z' represents the zero and 'p' represents the pole of the filter. To understand why the pole and zero locations must be symmetrical with respect to the jω axis (imaginary axis), let's examine the filter's frequency response.

When analyzing a filter's frequency response, we substitute s with jω, where ω represents the angular frequency. Substituting into the transfer function, we get H(jω) = (jω - z) / (jω - p). Now, consider the magnitude of the transfer function |H(jω)|.

If the zero and pole are not symmetric with respect to the jω axis, then their distances from the axis would differ. As a result, the magnitudes of the numerator and denominator in the transfer function would not be equal for any given ω. Consequently, the magnitude response of the filter would be frequency-dependent, introducing gain or attenuation to the signal.

To maintain the all-pass characteristic, which implies that the filter only introduces phase shift without changing the magnitude of the input signal, the pole and zero must be symmetrically positioned with respect to the jω axis. This symmetry ensures that the magnitude response is constant for all frequencies, guaranteeing an unchanged magnitude but only a phase shift in the output signal, fulfilling the all-pass filter's purpose.

Learn more about frequency response

https://brainly.com/question/33346461

#SPJ11

Answer:

Step-by-step explanation:

Seven less than the product of a number n and 1/6 is no more than 94, translating:

Solving for n:

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

C. x + 12 > 2

Step-by-step explanation:

Given:

Twelve more than x is greater than two

Required:

Translate to symbols

Solution:

Twelve more than x can be represented as "x + 12"

Greater than is represented by the symbol ">"

Two represented as "2"

Therefore, the translation to symbols would be:

x + 12 > 2

Answer:

The answer is C

Step-by-step explanation:

HOPE it helps!!:))))

Answer:

See Explanation

Step-by-step explanation:

Given

\(Jean = \frac{2}{3}\)

\(Terry = \frac{1}{3}\)

\(Steve = \frac{1}{5}\)

Required

Represent them on number line

Start by getting the LCM of the denominators of the three fractions;

The denominator are: 3 and 5

\(LCM = 15\)

This means that, the number line will be divided into 15 partitions;

Next, we get the position of each fraction as follows;

\(Jean = \frac{2}{3} * 15\)

\(Jean = \frac{30}{3}\)

\(Jean = 10\)

Jean will be represented on the 10th point

\(Terry = \frac{1}{3} * 15\)

\(Terry = \frac{15}{3}\)

\(Terry = 5\)

Terry will be represented on the 5th point

\(Steve = \frac{1}{5} * 15\)

\(Steve = \frac{15}{5}\)

\(Steve = 3\)

Steve will be represented on the 3rd point

See Attachment for number line

Answer:

Jean climbed  of the distance up the cliff. This is marked on the number line.

Terry climbed  of the distance less than Jean. Use addition to find the height to where Terry climbed.

So, Terry climbed  of the total distance.

Steve climbed  of the total distance more than Jean. Use addition to find the point to where Steve climbed.

So, Steve climbed  of the total distance.

Step-by-step explanation:

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

$5.25

Step-by-step explanation:

Answer:

x (378) + y (378) =

Step-by-step explanation:

First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:

3.00 x 378 = x (378) =

2.00 x 378 = y (378) =

So:

x (378) + y (378) =

im sorry if i got it wrong-

The yield rate from initial inquiry through surgery can be calculated by considering the percentage of patients who successfully complete each step of the process.

Step 1: Initial patient calls: 14,000 calls per year
Step 2: Screening out: 25% of initial calls are screened out, which means 75% of the calls proceed to the next step.
Step 3: Showing up for intake appointment: Of the 75% not screened out, 72% show up for their intake appointment. This means 75% * 72% = 54% of the initial calls show up for their intake appointment.
Step 4: Not showing up for surgery: Of the patients who appear for their intake appointment, 40% do not show up for their surgery. Therefore, 60% of the patients who appeared for their intake appointment proceed to the surgery stage.

Now, we can calculate the yield rate by multiplying the percentages of each step:
Yield rate = 75% (step 2) * 72% (step 3) * 60% (step 4)
Yield rate = 0.75 * 0.72 * 0.60 = 0.324 = 32.4%

The yield rate from initial inquiry through surgery is 32.4%.

To know more about percentage , visit ;

https://brainly.com/question/34240731

#SPJ11

Answer:

y = -x - 6

Step-by-step explanation:

Slope = m = -1

Equation of line: y = mx + b

y = - x + b

Plugin x = -1 and y = -5 in above equation

-5 = -(-1) + b

-5 = 1 + b

-5 - 1 = b

b = -6

Equation of the line: y = -x - 6

The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Jasmine be represented as S₁ = 34 km/h

Let the speed of Chelsea be represented as S₂ = 65 km/h

Now , the distance traveled by Jasmine = J

And , the distance traveled by Chelsea = C

The measure of J = measure of C

So , the distances are the same

Let the time taken by both Jasmine and Chelsea be T

Now , Speed = Distance / Time

Substituting the values in the equation , we get

Distance D = 34T

And , distance D = 65T

Now , the total distance D = 59.4 km

So , 34T + 65T = 59.4

On simplifying the equation , we get

99T = 59.4

T = 0.6 hours

Hence ,

The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ1

Answer:

\(\Huge \boxed{300 \° }\)

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

Answer:

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

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

Answer:

I hope this helped a little, the equation is some you'll have to make on your own, sorry!

Answer:

the answer is at the bottom

Step-by-step explanation:

please mark me as brainliest<3

answer is attatched

In this problem we have that

JK=KL

JM=LM

and

KM is a common side

therefore

triangle KJM and triangle KLM are congruent by SSS

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer: Greater

Step-by-step explanation:

Answer:

179 is greater than 31

Answer:

Step-by-step explanation:

A discount of 40% was allowed on the price

To find the price after the discount first calculate the discount and subtract it from the original price

That's

\( \frac{40}{100} \times 7000\)

= 2800

So the price after the discount is

#7000 - #2800

Which is

Hope this helps you

Answer:

Tammy has 2 cookies.

Step-by-step explanation:

Subtract 5-3.

Answer: 6800

Step-by-step explanation:

24000 divided into 20

8000-1200

The rate of speed is the rate at which the total distance is traveled in the time taken.

The Space Explorer B travel 6.67 times faster than Space Explorer A.

The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,

\(s=\dfrac{d}{t}\)

Here, \(d\) is the distance traveled by the object and \(t\) is time taken but the object to cover that distance.

Given information-

The equation given in the problem is,

\(y=8000\)

Here, \(y\) represented the number of miles that the satellite, Space Explorer B, flies in hours.

The satellite, Space Explorer A, flies 24000 miles in 20 hours.

The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,

\(s=\dfrac{24000}{20}\\s=1200\)

Thus the Space Explorer A, travels 1200 miles per hour.

As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,

\(d=\dfrac{8000}{1200} \\d=6.67\)

Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.

Learn more about the rate of speed here;

https://brainly.com/question/359790

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Flip the Equation}}\)

\(\text {Before: -3+2v=-7}\\\text {After: 2v-3=-7}\)

\(\text {\underline {The Next Step is to Add both sides by 3}}\)

\(\text {-3+3=0 (this cancels out)}\\\text {-7+3=-4}\)

\(\text {Your New Problem Is: 2v=-4}\)

\(\text {\underline {The Final Step is to Divide both sides by 2}}\)

\(\text {2v/2=0 (This cancels out. Leaving v by itself)}\\\text {-4/2=}\)

\(\text {Your Answer Would Be:}\)

\(\huge\boxed {v=-2}\)

\(\text {Best of Luck!}\)