The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
Learn more about exponent rule here:
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What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.
You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month
We must see which thing would make the conditional statement a false statement. We will see that the correct option is:
"You go to the gym for an hour a week and lose 7 pounds in a month"
So we start with the conditional statement:
"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"
Remember that the general conditional statement is:
If P, then Q.Where P is the hypothesis and Q is the conclusion.
The conditional statement is false if:
P is true and Q false.
So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).
With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.
"You go to the gym for an hour a week and lose 7 pounds in a month"
If you want to learn more about conditional statements, you can read:
https://brainly.com/question/10714086
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.
why do you need to find the number that is halfway between 1 and 1 1/2
Answer:
Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.
We are told there is a need to find the Number that is halfway between 1 and 1½.
Step-by-step explanation:
What is the distance between the following points?
Answer choices
A 9
B 10
C square root of 21
D square root of 58
Answer: 9 is incorrect the anwser is acactually D . The square root of 58
Step-by-step explanation:
pls help what is the answer
What is Decrease 20g by 10% please?
Answer:
18
Step-by-step explanation:
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
−3x+5y=2x+3y ordered pairs
Answer:
y=5/2x
Step-by-step explanation:
5x=2y
y=5/2x
you cant get ordered pairs from this directly you will only get an equation
the perimeter of a square is 72 inches, what is its area?
Answer:
A = 324 in²
Step-by-step explanation:
A square has 4 congruent sides s , then
s = 72 ÷ 4 = 18 in
The area (A) of a square is calculated as
A = s² = 18² = 324 in²
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Learn more on law of logarithms here: https://brainly.com/question/11587706
Answer: C
Step-by-step explanation:
If you don't want to read it all
Rosanne is making a swirled pudding dessert to bring to her friend's barbecue. She mixes
chocolate and vanilla pudding in a large bowl for the adults. Then, she decides to make a smaller
portion for the kids. In a small bowl, Rosanne mixes half the amount of chocolate pudding and half
the amount of vanilla pudding. Which bowl of pudding is more chocolaty?
Answer:
None of the bowls
Step-by-step explanation:
It's because the amount of chocolate and vanilla in the pudding is the same,
which is why both are chocolatey; none are more chocolatey
Answer:
none
Step-by-step explanation:
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
Ben bowled 153 and 192 in his first two games. What must he bowl in his third
game to have an average of at least 170?
in his third game in order to have an average of at
Ben must bowl at least
least 170.
Which of the following is a true statement of the figure?
Answer:
1st one is correct
Step-by-step explanation:
please mark my answer in brainlist plz
A tree cast a shadow 21 meters long
The angle of elevation for the sun is 51 degrees
What is the height of the tree?
Step-by-step explanation:
I do not understand .____.
I watch television from 5 o clock until half past. How long do I watch for?
Answer:
5:30
Step-by-step explanation:
Important info:
watch television from 5 o clock until Half Past.
Question to Answer:
How long did you watch.
Note:
Half of 1 Hour = 30 Minutes
Solution:
5:30
Therefore You watch television until 5:30
Determine which of the following terms are considered to be like terms with the expression 3xy. Select all situations that apply.
A) 3 x ∙ y
B) 1/2( xy)
C) -2 ∙ x ∙ y
D) 4 ∙ x + y
E) ( x)( y)
F) 2 x^2 y
Answer: Down there there is the correct answer step by step
I hope it helps you!
d.One rectangle weighs what
Answer:
the answer is 2
Step-by-step explanation:
because 7 + 2 = 9 then 9+2=11
The average diameter of a red blood cell is 0.000007m. calculate the radius. (Use formula: Radius= Diameter/2) Thank you in advance:))
Answer:
Radius = 0.0000035m
Step-by-step explanation:
0.000007m / 2 = Radius
Radius = 0.0000035m
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
Which is greater? -4.84 or -8.48
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
If the perimeter of a regular hexagon is 1 foot, each side is
how many inches long?
Answer:
2 or...?
Step-by-step explanation:
The hexagon is 2 inches long
Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.
If you want to know more on hexagons go here:
https://brainly.com/question/30849168
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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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2
10) Ronnie charged his Customers a llat fee or $25 to fix computers. Then he charged $20 for each hour
fixing the computer. ir Ronnie made $175 ofr of his first customer, how many hours did he spend working?
thworkabeets.com
Answer:
7.5 hours
Step-by-step explanation:
y=mx+b, where y is cost and x is hours.
175 = 20x + 25
150 = 20x
7.5 = x
He worked 7.5 hours
The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.
Answer:
Step-by-step explanation:
t2 = a*r
t2 = 6
t5 = a*r^4
t5 = 162
162/6 = ar^4 / ar
r^3 = 27
r = 3
6 = a*3
2 = a
Sum = a(r^n - 1)
=======
r - 1
n = 5
a = 2
r = 3
Sum = 2(3^5 - 1)
=======
2
Sum = 242
How to factor 10n^2 +n -3
and 2d^2=8de+6e^2
Answer:
(5+-1) (2+2
Step-by-step explanation:
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer:
The answer is 9 ( C on edge)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
C on edge
I took the test
1) -88 ≤ -8(x+6)
2) 43 > -5k + 3 ≥ 8
Please show work :)
[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
