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].
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
Look at image to get the questions
Answer:
Step-by-step explanation:
What do you have to do solve it or what
HI i need help i will give brainliest to correct answer.
Answer:
Top picture: 1/3
middle picture: 1
bottom picture: 1/2
Step-by-step explanation:
rise over run
A 2.5-kg bag of grass seed covers an area of 1200 m2. How much seed is needed to cover a square park with side length 500 m?
Answer:
520.83 k g of seed
Step-by-step explanation:
Answer:
A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?
Step-by-step explanation:
Math 7th grade... help pls thanks
Answer:
35
Step-by-step explanation:
1 bracelet costs $7
5 bracelets is 7*5=35
As we can see with the numbers they gave us every bracelet costs 7 dollars, 1 =7, 2=14 and so on. With this information we can just take the number 5 and multiply it by 7 which would equal 35. Or you could add 7 to 21 and then 7 to 28. Whichever one works for you.
Hope this helped
A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost
Answer:
$10
Step-by-step explanation:
So the total amount of money needed is $110
And the bat is $100 more than the ball
So basically subtract $100 from $110
And you get $10 So the answer is $10
(8x^2 – 7x – 2) – (6x^2 – x + 3)
Answer: = -2x-5
Step-by-step explanation:
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.
Please answer! will mark brainilest eight tenths plus nine tenths equals
Answer:
it equals 17 tenths
Step-by-step explanation:
Answer:
the answer will be 0.7 for sure
Step-by-step explanation:
for the steps
the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9
so when you calculate (add) both
0.8+0.9
gives
0.7
On a particularly rainy day the amount of rainfall measured in a rain gauge increased at a
rate of 1.5 inches each hour for 4 hours. What is the total change in the amount of rain that
has fallen after 4 hours?
What is the value is x
X=
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(2x +1)/12 = (x +4)/8
2(2x +1) = 3(x +4) . . . . . multiply by 24
4x +2 = 3x +12 . . . . . . . eliminate parentheses
x = 10 . . . . . . . . . . . . . . subtract 2+3x
George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?
(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m
PLEASE ASAP!
Answer:
Take 148÷37. Which equals 4. The answer is C.
Pls help me I will give brainliest
Answer:
Step-by-step explanation:
a^8/c
Answer:
a8
b
10
/c
a^8/c
Step-by-step explanation:
Can I pls get the Brainlist
Find the measure of angle 1
A. 90
B. 110
C. 180
Answer:
90°
Step-by-step explanation:
Create and manipulate a data frame.
i) Create a `data.frame` named `my.trees` that has the following columns: - `
Girth = c(10.3, 10.6, 10.8, 13.5, 13.7, 13.8, 14.0)` - `
Height = c(70, 65, 63, 72, 81, 83, 66)` - `
Volume = c(10.3, 10.3, 10.2, 16.4, 18.8, 19.7, 15.6)`
ii) Extract the second observational unit.
iii) Extract the `Height` column referring to it by name.
iv) Print out a data frame of all the observations except for the firt observation.
I need help in my really struggle in math
Answer:
.
Step-by-step explanation:
.
Answer:
tell me a problen and I will help you solve it
Step-by-step explanation:
How are 4.730 and 4.73 eqivalent
Which of the following statements is true?
4 x 23 is less than 23, since 23 is less than 1.
4 x 34 is greater than 34, since 4 is greater than 1.
4 x 44 is equal to 1, since 44 is equal to 1.
4 x 65 is less than 4, since 65is less than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Step-by-step explanation:
A twin-engined aircraft can fly 816 miles from city A to city B in 4 hours with the wind
and make the return trip in 6 hours against the wind. What is the speed of the wind?
Answer:
,mnl.khvmfjdrykytdd7ir rvrtuy
Step-by-step explanation:
Pls help me answer the question attached
Answer:
A.
Step-by-step explanation:
(2/3)*6.75=4.5
7. Find the Value of x. SHOW YOUR WORK OR NO CREDIT!!!!!
Answer:
x=21.9317121994
Step-by-step explanation:
You just look at the half triangle and use the Pythagorean Theorem. One side of the triangle is 9 (half of 18), the other is 20, so you find the hypotenuse.
9²+20²=x²
81+400=x²
481=x²
√481=x
x=21.9317121994
answer please quick its due
Answer:
a
Step-by-step explanation:
Answer asap please!! Sorry man my computer is mad dirty
Answer:
C. between 4.4 and 4.6Step-by-step explanation:
Because if you add 22 and 8 together you get 30 and once you get 30 you subtract 10 gaining 20 and then you divide 20 getting [tex]2\sqrt{5}[/tex].
22+8= 30
30-10= 20
[tex]\sqrt{20} = 2\sqrt{5[/tex]
Answer:
B
Step-by-step explanation:
If wrong don't rate and I'll edit it
Why does paying off the highest interest rate credit card first make the most mathematical sense?
Answer:
Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
Randy bought 3 identical shirts and paid a sales tax of $2.84. The total cost was $50.18. What was the cost of each shirt?
Answer:
$15.78
Step-by-step explanation:
I) Remove tax:
$50.18 - $2.84 = $47.34
II) Construct an equation to find the cost of each shirt:
47.34 = 3s
III) Solve:
Divide each side by 3:
15.78 = s
Each shirt costed $15.78
Answer:
15.78
Step-by-step explanation:
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
NEED THIS IN 10 MINUTES PLEASE
Answer:
5) $82
6) 300
Step-by-step explanation:
If y=x is your linear regression equation, and if x = temperature and y = $ of ice cream sales, then...
5) x = 82, and given that y=x, then y = $82
6) y = $300, and given that y=x, then x = 300
This doesn't really require algebraic calculation, so I wonder if the linear regression equation obtained from the scatter plot is correct.
A portable basketball hoop is on sale for 25% off the original price of $142. What is the sale price?
Carla is fundraising for her school. She buys t-shirts for $7.50 each and then she sells the t-shirts with a markup of 150%. What is the selling price of each t-shirt?
Dinner costs $22.50. Apply sales tax of 9.5%. Then add a 20% tip to the after tax bill. What is the final cost of dinner?
Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt
Find the total account balance for a $400 investment that earns a 6% simple interest rate over a 5 year period. Use the formula I = Prt.
Sweatshirts are on sale for 35% off the regular price, x. What expression can be used to find the sale price of a sweatshirt.
Answer in order.