Write an exponential function in the form y=ab^x that goes through points (0,6) and (5, 6144)
Given:
An exponential function goes through points (0,6) and (5, 6144).
To find:
The exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
It goes through points (0,6) and (5, 6144). It means the equation must be satisfied by these two points.
Putting x=0 and y=6, we get
[tex]6=ab^0[/tex]
[tex]6=a[/tex]
Putting a=6, x=5 and y=6144, we get
[tex]6144=6b^5[/tex]
[tex]\dfrac{6144}{6}=b^5[/tex]
[tex]1024=b^5[/tex]
Taking 5th root on both sides, we get
[tex]\sqrt[5]{1024}=b[/tex]
[tex]4=b[/tex]
Putting a=6 and b=4, we get
[tex]y=6(4)^x[/tex]
Therefore, the required exponential function is [tex]y=6(4)^x[/tex].
help its really urgent
Answer:
QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.
Step-by-step explanation:
Its self explanatory (just kidding dont know how to explain)
PLease please
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent error?
please
Answer:
He spent 150% than what he estimated.
Step-by-step explanation:
15 ÷ 10 = 1.5 = 150%
Answer: 66.67%
Step-by-step explanation: The first step is to divide 10 by 15 to get the answer in decimal form: 10 / 15 = 0.6667 Then, I multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.6667 * 100 = 66.67%
what is m CDJ?
please help me I'm super confused.
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.
Answer:
34 degrees
Step-by-step explanation:
So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!
Will give brainliest
Answer:
Trapezoid
Step-by-step explanation:
The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.
Not triangle because has four vertices.
A jar contains 93 marbles, of which 32 are blue, 20 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answer: 52:41
Step-by-step explanation:
Hannah weighed 7.2 pounds at birth. Her weight was recorded at each of her infant doctor visits. The records from her appointments from birth to six months are shown in the table below. 1. Find the line of best fit: 2. Estimate Hannah's weight at her one-year visit:
So If Hannah weighed 7.2 lb at birth during the six months that are shown on the table hanna puts on 8.7 during those six months so if we’re estimating what her weight will be at her one year visit
8.7(what she put on during the six months)+ 15.9 (her weight now)= 24.6
Answer: I estimate she will weigh 24.6lb at her one year visit
Hope this helps
How many cartwheels can Suzy do? :)
Answer:
100 :)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
) The Deerfield Township mayor would like to know where his constituents stand on a tax break for local small business that will appear on the upcoming election ballot. To get a better sense he decides to conduct a poll in the community. a. Describe the appropriate intended population the mayor should study. Be specific. b. Describe a method that could be used to select a random sample of size 150 from the intended population. Be as detailed as you can, and pretend you are explaining this to someone with no statistical experience. c. What is the sample for this study
Answer:
a.) Citizens of Deerfield Township who have the right to vote.
B.) Stratified Random Sampling
C.) The citizens in each strata, 150 voters
Step-by-step explanation:
Deership Citizens who have voting right.
B.)
Stratified Random sampling : A random selection of voters based on criteria such as Dividing the whole township into districts and then random samples of voters is chosen from each district. For instance, if there are 15 different districts, a random sample of 10 voters is chosen from each district.
15 * 10 = 150
C.) The sample refers to a subset of the population which when chosen at random is representative of the larger population. The sample in the study are the voters in each strata.
Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?
The value of 34 + 5 ⋅ 5 = ___.
Answer:
59
34+5×5=34+25=59
What is the percent of the shaded portion of the
figure??
60%
80%
20 %
.60%
HELP MEEE PLSSSSSSSS
A man wishes to keep some money in savings de-
posit at 25% compound interest so that after 3
years he can buy a car for N150000. How much
does he need to deposit now?
Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.25)^t[/tex]
[tex]P(t) = P(0)(1.25)^t[/tex]
[tex]150000 = P(0)(1.25)^3[/tex]
[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]
[tex]P(0) = 76800[/tex]
He needs to deposit N76800 now.
TRUE OR FALSE PLEASE
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
I'm pretty sure...im 99% sure that this is the correct answer
Answer: You are correct. The answer is choice A. Nice work.
Explanation:
Assuming Ramon did his steps correctly, ending up with 53 = 477 means that the original equation doesn't have any solutions.
Consider an example such as x+5 = x+6
We can subtract x from both sides to end up with 5 = 6, but that's a false statement. So no value of x can be plugged into x+5 = x+6 to lead to a solution. This idea applies to Ramon's original equation. The equation 53 = 477 is a contradiction (the left side contradicts the right side since the numbers don't match).
You take your favorite teacher out to lunch. The total
cost of your meals was $37.50. You want to add a 20%
tip. What is the new final total?
Answer:
it would be 45 total with the 20%
Study the data set shown. Then answer the questions below.
a. Any number that is not the minimum or maximum could be removed without changing the range.
b. Removing the number 97 changes the range.
What is set ?
In mathematics, a set is a collection of distinct objects, called elements or members, that are treated as a single entity. Sets can contain any type of object, such as numbers, letters, or other mathematical objects.
To find a number that could be removed from the data set without changing the range, we need to determine the minimum and maximum values in the set. In this case, the minimum value is 53 and the maximum value is 97, so any number that is not the minimum or maximum could be removed without changing the range. For example, we could remove the number 85:
53 54 63 63
68 68 68 74
82 85 92 88
89 92 92 97
The range of the data set is still 97 - 53 = 44.
To find a number that could be removed from the data set that would change the range, we need to identify a number that is either the minimum or maximum value. For example, we could remove the number 97:
53 54 63 63
68 68 68 74
82 85 85 88
89 92 92
b. The range of the data set is now 92 - 53 = 39, which is smaller than the original range of 44.
Therefore, removing the number 97 changes the range.
To know more about set visit :
https://brainly.com/question/13458417
#SPJ1
Factor the expression -18y-27
Answer:
-9(2y+3) Tip: Download photo math lol : )
What is the midpoint of AB?
Answer:
the answer is weenie I THINK i coudl be wrong tho
Step-by-step explanation:
:)
Determine the length of side .qs
Question options:
A)
2.4
B)
3.4
C)
5.7
D)
1.9
Answer:
i don't know this i think its 3.4 or 1.9
Answer:
A) 2.4
Step-by-step explanation:
Find the measure of angle x in the figure below:
15 degrees
25 degrees
30 degrees
60 degrees
Answer:
30°
Step-by-step explanation:
180-75-75=30
Plot the points (-10,3) and (-10, –6)
Well, basically this is how it is graphical, you can also check on your scientific calculator because it is a prendicular line, I hope it has served you
This is so important please help
Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
[tex]r=\sqrt{(2-(-1))^2+(-4-0)^2}[/tex]
[tex]r=\sqrt{(2+1)^2+(-4)^2}[/tex]
[tex]r=\sqrt{(3)^2+(-4)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
Now, the equation of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
[tex](x-(-1))^2+(y-0)^2=5^2[/tex]
[tex](x+1)^2+y^2=25[/tex]
Therefore, the first option is correct, i.e., [tex](x+1)^2+y^2=25[/tex].
Helppppp pleaseeee thanks ✏️
Answer:
H
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
That means
180= 25 + 45+ unknown angle
180= 70 + unknown angle
180 - 70 = unknown angle
110 = unknown angle
A moving company
travels 180 miles in 4
hours on Monday. At
this rate, how long
will it take them to
drive 270 miles?
Answer:
6 hours
Step-by-step explanation:
180/4 is 45 so we do 270/45 which is 6 hours
pls give brainliest haven't got one yet
Find the mode 24,22,46,23,20,25,24
Answer:
24
Step-by-step explanation:
We are given a strand of numbers and are asked to find the mode.
To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.
20, 22, 23, 24, 24, 25, 46
Looking at the strand we see that 24 appears the most, therefore 24 is the mode.
Answer:
24
Step-by-step explanation:
Put the numbers in order.
20, 22, 23, 24, 24, 25, 46
Count how many of each number.
20
22
23
24, 24
25
46
The number that appeared the most is the mode.
24 appeared twice and the other numbers appeared only once.
Joey pays $35.85 each month for his new stereo what does he pay each year
Answer:
$430.20
Step-by-step explanation:
35.85 x 12= 430.20
Can someone help me, please????
Answer: -12
Step-by-step explanation:
if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit
Answer:
-12 degrees
Step-by-step explanation:
Fahrenheit and Celsius
10 degree fahrenheit
What is the celsius?
____________________
Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.
Find the slope given: (-99, 38) & (-99,722)
m =
Answer:
722-30=y
-99--99=x
(0,692)
I hope this helps, have a nice day :)
Step-by-step explanation:
PLEASE HURRY! I'M BEING TIMED! A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t. Plant A Time in weeks, t 60 80 100 120 Height in inches, h 90 120 150 180 Plant B h = StartFraction 4 t Over 3 EndFraction A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360). If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
Answer:
200 inches
hope that helps :)
Step-by-step explanation:
Answer:
B-200 inches
Step-by-step explanation:
What about this one thank you so much
Answer:
19 is the answer
Step-by-step explanation: