is y= 2(3)^x an exponential function

The missing length of the right triangle is 13.41 inches.

A right angle triangle has one of its angles as 90 degrees.

The side length of a right triangle can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

Therefore,

x² = 18² - 12²

x² = 324 - 144

x² = 180

x = √180

x = 13.416407865

x = 13.41 inches

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Answer:

Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...

Step-by-step explanation:

Answer: B

Step-by-step explanation: Hope this help :D

Answer: The answer is B X, 20, 21, 22 and Y, 200, 400, 600

Step-by-step explanation:

I hope this helps have a good and blessed day.

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

These give rise to two equations. (x and y are in degrees)

  6y +6y +4x = 360

  6y = 2(2x)

Substituting the latter into the former gives ...

  6y +6y +6y = 360

  y = 20 . . . . . . . . . . . . divide by 18

Then using this in the second equation, we have ...

  6(20) = 4x

  30 = x . . . . . . . . divide by 4

The measures of x and y are 30° and 20°, respectively.

Answer: add 2 to the input to have the output.

Step-by-step explanation: X=The Input and you have to mulitiply the input by the positive number then add it to the original number to get the output.

Answer:

The answer is C

Step-by-step explanation:

If two fifths of the class is 42 just do 42 + 42 + 21 = 105 to find how many seniors there is.

Answer:

1646.5 g mineral oil

Step-by-step explanation:

i think thag the answer

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

Answer: -1

Step-by-step explanation:

Order of Operations, 5 to the power of 2 is 25 24-25 is -1 Hope this helps!

Answer:

-1

Step-by-step explanation:

24 - 5^2

24-25

=25-24

= -1

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

The numbers are 24, 25 and 26.

Step-by-step explanation:

For number 1.

i am to lazy to do the rest

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

The given exponential expression, (2xy³)⁻², on simplifying becomes 1/2²x²y⁶.

In the question, we are asked to simplify the given expression, (2xy³)⁻².

The given expression is an exponential expression.

Some of the exponential laws that are used to simplify exponential expressions are as follows:

The Product of Powers Rule: \(x^m * x^n = x^{m+n\)

The quotient of Powers Rule: \(x^m \div x^n = x^{m-n\)

The Power of a Power Rule: \((x^m)^n = x^{mn\)

The Power of Product Rule: \((xy)^n = x^n*y^n\)

The Power of Quotient Rule: \((x / y)^n = x^n / y^n\)

The Zero Power Rule: \(x^0 =1\)

The Negative Exponent Rule: \(x^{-n} = (1/x^n)\).

Using these laws of exponents, we can simplify the given expression, (2xy³)⁻², as follows:

(2xy³)⁻²

= 2⁻²x⁻²y⁻⁶ {Using The Power of a Power Rule: \((x^m)^n = x^{mn\)}

= 1/2²x²y⁶ {Using The Negative Exponent Rule: \(x^{-n} = (1/x^n)\)}

Thus, the given exponential expression, (2xy³)⁻², on simplifying becomes 1/2²x²y⁶.

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a) The dot product of v and -v is -1.

b) The dot product of v + w and v – w is 2v.w

c) The dot product of v – 2w and v + 2w is 4||w||^2 - 4v.w

(a) For any unit vector v, the dot product of v and -v can be found as follows:

v · -v = ||v||||-v||cos(θ) = ||v||||v||cos(180°) = -||v||^2 = -1, where ||v|| represents the magnitude of the vector v and θ is the angle between the vectors.

Since v and -v are unit vectors, their magnitudes are equal to 1, so ||v||^2 = 1. Thus, the dot product of v and -v is -1.

(b) For any unit vectors v and w, the dot product of v + w and v – w can be found as follows:

(v + w) · (v – w) = ||v + w||||v – w||cos(θ) = (||v||||v|| + 2v · w + ||w||||w||)cos(θ) = 2v · w

where θ is the angle between the vectors v + w and v – w, and v · w is the dot product of v and w.

(c) For any unit vectors v and w, the dot product of v – 2w and v + 2w can be found as follows:

(v – 2w) · (v + 2w) = ||v – 2w||||v + 2w||cos(θ) = (||v||||v|| + 4||w||||w|| - 4v · w)cos(θ) = 4||w||^2 - 4v · w

where θ is the angle between the vectors v – 2w and v + 2w, and v · w is the dot product of v and w.

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Answer:

y2-y1 / x2-x1

-4/3

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

When given two points, the slope is found by

m = (y2-y1)/(x2-x1)

   = (-3- -7)/(3 -6)

    = (-3+7)/(3-6)

    = 4/-3

   = -4/3

Answer:

7n + 1/5 + 2q

Step-by-step explanation:

Identify like terms

(4n + 3n) + (6/35 + 1/35) + (6q -4q)

Add like terms

7n + 7/35 + 2q

7/35 simplifies to 1/5

Answer: −200y−125

Step-by-step explanation:

Answer:

44 hours

Step-by-step explanation:

If you set up a proportion 10/125= x/550. Then you cross multiply and get 125x=5500 and divide by 125. Now you have x=44

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

22

Answer:

f(x)=-3/2x+3

Step-by-step explanation:

y intercept is 3, slope is -3/2

f(x)=-3/2x+3

Take 2 points

Slope:-

\(\\ \rm\Rrightarrow m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}\)

Equation of line in point slope form

\(\\ \rm\Rrightarrow y-3=-3/2x\)

\(\\ \rm\Rrightarrow y=-3/2x+3\)

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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We have that:

Let's name each side of it with f(x) and g(x):

Then, we have that:

Then, the answer is C

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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