Explain why the initial value of any function of the form
f(x) = a(bº) is equal to a.

Answers

Answer 1
In the function f(x) = a(b^x), the initial value is always a. This is because a is independent on x. So, when x changes, b^x will change as well but a will remain the same


Related Questions

Joe surveyed a random sample of people at a
movie theater one day to determine whether more
people preferred action movies or comedies. Of
the 11 people surveyed, 35.5% preferred action
movies. Based on this information, about how
many of the 350 people attending the theater that
day would be expected to prefer action movies?

Answers

Answer:

124

Step-by-step explanation:

350 times 35.5% = 124.25 and obviously .25 of a person cant go to a movie so you round down to 124.

Please i need your help

Answers

Answer:

Can you take a full picture

Step-by-step explanation:

Answer:
Choice A:
Final price:-  $17.50
Saved amount :-7.50


Choice B:
Final price: $24.00

Saved amount: $8.00

Therefore the choice A is better deal.

the entry to record the purchase of materials using a job costing system would include a
A. credit to work-in-process inventory
B. debit to accounts payable
C. debit to raw materials inventory
D. debit to work-in-process inventory

Answers

C

Debit to raw materials inventory
C. Debit to raw materials inventory

Add
3 2/7 + 7 5/14 as fractions

Answers

Answer:

Step-by-step explanation:

There are two methods of doing this

one is in the pin and another:

3 2/7 =23/7

7 5/14= 103/14

23/7 + 103/14 = Lcm 14

23/7 *2= 46/14

46/14 + 103/14 =149/14

149/14 = 10 9/14

During a period of 30 working days, Deborah was late 80% of the time. How many days was she late?

Answers

Fairly straightforward question. She works 30 days and is late 80% or 0.8
We can model our equation
Num days late = late percentage * num working days
Basically fine portion of working days that she was late.

Num days late = 0.8 * 30=24

So Deborah was late 24 out of 30 working days. Would appreciate a brainliest

two regular polygons shown are similar the area of the smaller figure is about 390cm^2 choose the best estimate for the larger figure

Answers

Step-by-step explanation:

c.is correct your welcome

Write the inequality shown in the diagram on the left.

Answers

Answer:

x<3

Step-by-step explanation:

The answer is x<3.

If the point were filled it would be one of these for example ≥

2. What is the surface area of the rectangular prism? (1 point)
5 mm
4 mm
21.5 mm
O480 mm
0427 mm
213.5 mm2
255 mm2

Answers

I would be pick A on the test I just took it

Draw a line from the US Customary measurement on top to its approximate metric equivalent or
the bottom
US customary: 2 inches
5 pounds
8 pints
Metric: 4 liters 50 grams
5cm
1 Liter 2 kg

Answers

Answer:

  see table below

Step-by-step explanation:

The exact metric conversions for length, mass, and volume are ...

An inch is 2.54 cm.

A pound is 0.45359237 kg.

A pint is 0.473176473 liters.

The approximate conversions would be ...

 2 inches ≈ 5 cm

  5 pounds ≈ 2 kg

  8 pints ≈ 4 liters

Coach Lopez wants to divide his soccer team into smaller, equal-sized groups of players for practice He notices that he can divide his team evenly into groups of 3 Complete the statements below about the number of players on Coach Lopez's team en form smaller equal-size groups because the number of students on his team is the number of players on the team has factors ould possibly have ✓ players on his team 19 21 or 23​

Answers

Answer: Coach Lopez wants to divide his soccer team into a smaller, equal-sized group of players for practice. He noticed that he divided his team evenly into groups of 3.

Coach Lopez can form smaller equal-sized groups because the number of students on his team is a prime number.

This means that the number of players on the team has three factors.

Coach Lopez could possibly have 12 players on his team.

what is 613157 rounded to the nearest hundred thousand

Answers

Answer:

600,000

Step-by-step explanation:

Your answer would be 600,000 because in the hundred thousands place there is a 6.

And that 6 in the hundred thousands place is asking the ten thousands place for help also the digit in the ten thousands place is a 1.

So if you know the rule the 6 can't round up because the 1 is below 4./the rule is 4 and below keep it low 5 or more give it one more.

Ok so the 1 is below 4 and can't bring 6 up so 6 has to stay in it's lane at 600,000

Hope this helps have a great afternoon:)

Answer:

Its 600000

Step-by-step explanation:

Hundred thousand refers to 6 numbers so we look at the number after 6 and its less than 5 so we round it back to 0

HELP ME NEED QUICKLY

Answers

Answer:

2.02

....

.....

.....

......

......

Brainliest if correct

Answers

Answer:

3/8 & 4/8

Step-by-step explanation:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

x - 1/8 = 3/8

x = 4/8    

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:



Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)
Part B: What are the initial value and slope of the graph, and what do they represent?

Answers

Step-by-step explanation:

Part A

Let the triangles be ADC and BEC.

Point D has coordinates of (0, 154), point E has coordinates of (0, 110).

The triangles have dimensions as below

ΔADC

⇒ base AD = 2, height DC = 154 - 66 = 88

The slope of AC

⇒ m = DC/AD = 88/2 = 44

ΔBEC

⇒ base BE = 1, height EC = 110 - 66 = 44

The slope of BC

⇒ m = EC/BE = 44/1 = 44

As we can see the slopes are equal

Part B

The y-intercept or initial value is represented by the point C and has coordinates of (0, 66)

The line is:

y = 44x + 66

The initial value is the depth of 66 m where the shark is.

The slope is the 44 m increase of the depth every minute.

please answer the question I give you 50 point​

Answers

First, you find the volume of each box
Volume = Length * Width * Height

Box A
V = 13 * 40 * 5
V = 2600 cm^3

Box B
V = 8 * 10 * 25
V = 2000 cm ^3

Box C
V = 11 * 20 * 30
V = 6600 cm ^3

Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used

The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)

The total volume of the boxes together can be found with simple addition

2600 + 2000 + 6600 = 11200 cm ^3

Answer:

First, you find the volume of each box

Volume = Length * Width * Height

Box A

V = 13 * 40 * 5

V = 2600 cm^3

Box B

V = 8 * 10 * 25

V = 2000 cm ^3

Box C

V = 11 * 20 * 30

V = 6600 cm ^3

Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used

The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)

The total volume of the boxes together can be found with simple addition

2600 + 2000 + 6600 = 11200 cm ^3

i don’t know how to solve for this

Answers

SOH CAH TOA

Opposite is 7

Y is the hypotenuse - longest side

So, x is the adjacent

Find y first, we've got opposite & hypotenuse

=> SOH or Sin

Sin(30) = o/h

Sin(30) = 7/h

x h

h x sin(30) = 7

÷ Sin(30)

H = 14

Pythagoras' Theorem: a^2 + b^2 = c^2

(which I've already rearranged, to find value of x)

Square root of 14^2 - 7^2 = 7 root 3.

Thus, the missing lengths should be 14 and 7 root 3.

The answer is:

y = 14

x = 7 root 3

(root => a square root)

Hope this helps!

A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the
room.

Answers

Answer: 5 meters

Why?:

Let the width of the room be denoted by 'W'

Since the room is three times as long as its width, the length will be '3W'

remember perimeter of a rectangle is =  2(length + width) and is given in the question as 40 meters.

      Perimeter =  2 (length + width)

                 40 = 2 (3W + W)

                 40 = 2 (4W)

                 40 = 8W

(Dividing both sides by 8), gives

                 5 = W

Answer:

l = 15

w = 5

Step-by-step explanation:

l = 3w

40 = 2l + 2w

40 = 6w + 2w

40 = 8w

8w = 40

w = 40/8

w = 5

l = 15

According to a PNC Financial Independence Survey released in March 2012, today’s adults in their 20’s “hold an average debt of about $45,000, which includes everything from cars to credit cards to student loans to mortgages. (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20’s has a mean of $45,000 and a standard deviation of $12,720. Find the probability that the average debt of a random sample of 144 U.S. adults in their 20’s is: a) Less than $42,600 b) More than $46,240 c) $43,190 to $46,980

Answers

Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:

a) 0.0119 = 1.19%.

b) 0.121 = 12.1%.

c) 0.9257 = 92.57%.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of [tex]\mu = 45000[/tex].The standard deviation is of [tex]\sigma = 12720[/tex].A sample of 144 is taken, hence [tex]n = 144, s = \frac{12720}{\sqrt{144}} = 1060[/tex].

Item a:

The probability is the p-value of Z when X = 42600, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{42600 - 45000}{1060}[/tex]

[tex]Z = -2.26[/tex]

[tex]Z = -2.26[/tex] has a p-value of 0.0119.

The probability is of 0.0119 = 1.19%.

Item b:

The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{46240 - 45000}{1060}[/tex]

[tex]Z = 1.17[/tex]

[tex]Z = 1.17[/tex] has a p-value of 0.879.

1 - 0.879 = 0.121.

The probability is of 0.121 = 12.1%.

Item c:

The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:

X = 46980:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{46980 - 45000}{1060}[/tex]

[tex]Z = 1.87[/tex]

[tex]Z = 1.87[/tex] has a p-value of 0.9693.

X = 43190:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{43190 - 45000}{1060}[/tex]

[tex]Z = -1.71[/tex]

[tex]Z = -1.71[/tex] has a p-value of 0.0436.

0.9693 - 0.0436 = 0.9257.

The probability is of 0.9257 = 92.57%.

To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213

algebra 2
I have no idea what to do please explain

Answers

Answer:

So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.

100 points! need asp tho

Answers

I don’t really understand the question

Carly spends 9 hours each day working at her job. What percentage of her day does she spend at work?​

Answers

Answer: 37.5%

Step-by-step explanation:

Your car gets about 20 miles per gallon. You are planning to drive to
who live about 850 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and to return home?

Answers

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

Graph y=-2x+5 please help fast

Answers

Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

The required graph of the equation y = -2x +5 has been shown.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

Learn more about graphs here:

brainly.com/question/16608196

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Find the equation of the parabola with points (-3,15), (0,-6), & (2,10)

Answers

Answer:

  (d)  y = 3x² +2x -6

Step-by-step explanation:

The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).

__

Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.

The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)

The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)

The only reasonable choice is D:

  y = 3x² +2x -6

__

Additional comment

You get the same answer if you use a regression tool.

Answer:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

Step-by-step explanation:

In general, the equation of a parabola is in the form [tex]y = a\, x^{2} + b\, x + c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]a \ne 0[/tex].

Let [tex]y = a\, x^{2} + b\, x + c\![/tex] denote the equation of this parabola for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]a \ne 0[/tex]. A point [tex](x_{0},\, y_{0})[/tex] is on this parabola if and only if the equation of this parabola holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex]:

[tex]y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c[/tex].

Thus, each of the three distinct points on this parabola would give a equation about [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

The equation for [tex](-3,\, 15)[/tex] would be [tex]15 = (-3)^{2}\, a + (-3)\, b + c[/tex].The equation for [tex](0,\, 6)[/tex] would be [tex]6 = 0^{2}\, a + 0\, b + c[/tex].The equation for [tex](2,\, 10)[/tex] would be [tex]10 = 2^{2}\, a + 2\, b + c[/tex].

Simplify the equations:

[tex]\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.[/tex].

Solve this linear system of three equations and three unknowns for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.[/tex].

Therefore, the equation of this parabola would be:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

I need helpppppppppp

Answers

Answer: A local swiming

Deepak can type 2000 words in minutes. How many words Can he type in 37 minutes ​

Answers

Answer:

74,000 words he can type in 37 minutes

can you help me with math homework?
thank you

100 + 10 + (10 - 5)²

Answers

Answer:

•100 + 10 + (10 - 5)²=135

Explanation:

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

Question

100 + 10 + (10 - 5)²

Answer:

Step by step explanation:

=100 + 10 + (10 - 5)²

=100 + 10 +5²

=100 + 10 + 25

=110 + 25

=135

I hope this helps


You purchase a TV for $2,750.
The sales tax is 7.5%. What is the
total price including sales tax?

Answers

Sales tax: $206.25

■ Cost/Price before ST: $2,750.00

■ Total Cost/Price including ST: $2,956.25

Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in 30 seconds. The other car travels around the track in 50 seconds. If both cars start from the same place, how long will it take for them to meet at the same place if they continue to race?

Answers

They go up and down side to side like a rollocoster 12+12 =28

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

What is the time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

Here given that,

Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.

Case 1 :-

Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.

Case 2:-

Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.

Combining case 1 and case 2, we get

[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

To know more about the time

https://brainly.com/question/346088

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write a polynomial that represents the area of the square

Answers

Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

side=x+4

Area:-

side²(x+4)²x²+8x+16units²
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