Answer:
1/81
Step-by-step explanation:
In h(x)=3^x, replace each instance of x with -4:
h(-4) = 3^(-4), or
1
h(-4) = ----------- = 1/81
3^4
[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]
if h(x)=3^x then h (-4) =
[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{\mathbb{\tt { EXPLANATION:}}}[/tex]
In h(x) = 3^x , you must replace each instance of with -4:
h(-4)=3^(-4)
[tex]h(4)= \frac{1}{3^4} = \frac{1}{81} [/tex]
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→X x K i m 0 2 x XA bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?
a: B(t) = 325(0.0995)t
b: B(t) = 325(0.005)t
c: B(t) = 0.05(325)t
d: B(t) = 325 + 12(0.005)t
The required, function that models the balance of Stephani's account is
[tex]B(t) = 325(0.005)^t[/tex]. Option B is correct.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, can be determined using the given information.
Given:
Bank charges a fee of 0.5% per month for having a checking account.
Stephani's account has $325 in it.
The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, is:
b: [tex]B(t) = 325(0.005)^t[/tex]
In this function, the initial balance is $325, and the bank charges a fee of 0.5% per month, which is equivalent to 0.005 as a decimal. The exponent "t" represents the number of months, and with each passing month, the balance is reduced by 0.5%.
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A principal was buying T-shirts for his school's chess club and found that the total cost
in dollars could be found by the function f(x) = 9x + 19, where x is the number of
members in the club. If there are at least 8 members on the team but not more than
11, then which of the following statements describes the function?
A. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 72 and 99.
B. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 91 and 118.
C. The values of x and f(x) must both be whole numbers between 91 and 118.
D. The values of x and f(x) must both be whole numbers between 9 and 19.
Tim is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1/5
of the sundaes are mint ice cream and
1/2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
12
Step-by-step explanation:
1/5 mint = 6
30 - 6 = 24
Half of 24 is 12
12 is chocolate
so 12 must be vanilla
Please help me with this
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
Solve the below equations put the answer in radical form.
solve the following question
Answer:
g) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex], h) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]
Step-by-step explanation:
We proceed to solve each equation by algebraic means:
g) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex]
1) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex] Given
2) [tex]\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }[/tex] Definition of division
3) [tex]\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}[/tex] [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]
4) [tex]\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)[/tex] Associative property
5) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex] [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/Result
h) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex]
1) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex] Given
2) [tex]\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }[/tex] Definition of division
3) [tex]\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}[/tex] [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]
4) [tex]\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }[/tex] Factorization/Distributive property
5) [tex]\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right][/tex] Modulative and commutative properties/Associative property
6) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex] [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/Definition of division/Result
If p(x)= 2^x, what is the value of p(3) - p(2)?
Answer:
4
Step-by-step explanation:
p(3) = 2³ = 8
p(2) = 2² = 4
8-4 = 4
What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex]
Find the area of this parallelogram.
A)
20 cm2
B)
24 cm²
40 cm²
Answer:
It's 40cm²
Step-by-step explanation:
Base times height.
Legs are 5ft and 25ft what is the hypotenuse round to the nearest tenth
Answer:
15ft
Step-by-step explanation:
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answer:
772 hamburgers sold on monday
Step-by-step explanation:
add the problem
The ratio of people at a baseball game to bags of peanuts sold is 12:1. If there are 480 people, how many bags of peanuts will be sold?
I don't know how you 50th your mind to the fact 7days 7days I know that was 50th and I had no doubt about that can happen in a few months but his dream is the next one to get money to go some other time and do a few more pains in your car and get a better feel of what is the best thing for the use sharks live to the point in which 50th the world is not healthy and it
Answer: 40
Step-by-step explanation: For every 12 people, 1 bag of peanuts is sold. So for 480 people, which is 40 of 12 people, there must be 40 of 1 bag of peanuts, or 40 bags of peanuts, hope this helps!
What is the area of the triangle?
24
7
25
units2
A bag contains 9 and 54 blue marbles. If a representative sample contains 3 white marbles, then how many blue marbled would you expect to contain? Explain
Answer:
There should be 18 blue marbles in the representative sample.
Step-by-step explanation:
Given that a bag contains 9 white and 54 blue marbles, if a representative sample contains 3 white marbles, to determine how many blue marbles would you expect to contain the following calculation must be performed:
9 = 3
54 = X
54 x 3/9 = X
162/9 = X
18 = X
Therefore, there should be 18 blue marbles in the representative sample.
help me bros, this question is a big part of my grade!!
Answer:
6.
m1 : 61
m2 : 61
m3 : 29
7.
m1 : 87
m2 : 45
m3 : 45
m4 : 52
Make a bowl of Pho wit 3 ingredients that cost 14.50.
Will choose brainliest
Answer: $8 bowl, noodles, bean sprouts, beef
Step-by-step explanation:
The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate
Answer:
gg
Step-by-step explanation:
gfg
2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
NO LINKS PLEASE
SOMEONE HELP IM DESPERATE
FIND THE EXACT VALUE OF EACH TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE
Answer: 45
Step-by-step explanation: 360-315=45
what are some good editing apps i use alight motion and capcut
:))))))
Step-by-step explanation:
videochamp, picsart
Picsart , Inshot , Gandr , Photo lab and Viva video.
98 = x + 55 what is it????
Answer:
x = 43
Step-by-step explanation:
x = 98 - 55
x = 43
Answer:
x=43
Step-by-step explanation:
have a nice day and stay safe:)
Please help me with the answer!!!
5x = 7x - 8
7x - 5x = 8
2x = 8
x = 8 ÷ 2
x = 4
Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32
Answer:
25
Step-by-step explanation:
Given the expression x^2 - 10x + 8 = 0.
According to completing the square method
Subtract 8 from both sides
x^2 - 10x + 8 - 8 = 0 - 8
x^2 - 10x = -8
Complete the square
Add the square of half of coefficient of x to both sides
Coefficient of x = -10
Half of Coefficient of x = -10/2
Half of Coefficient of x = -5
Square of Half of Coefficient of x = (-5)^2
Square of Half of Coefficient of x = 25
Add (-5)^2 to both sides
x^2 - 10x + (-5)^2 = -8 + (-5)^2
(x-5)^2 = -8 + 25
(x-5)^2 = 17
Hence the required constant that was added is 25
Can i get help please i will mark brainlest
Answer:
7. 78
8. 169
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Which statement is true?
Answer:
C would be your answer!
Step-by-step explanation:
How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to
the volume of a cylinder with a radius of 8 inches and a height of 6 inches?
Answer:
they are the same
Step-by-step explanation:
We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.
Volume of cylinder 1 will be -
V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π
Volume of cylinder 2 will be -
V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π
So, we can write that -
V(1)/V(2) = (288π)/(384π)
V(1)/V(2) = (288)/(384)
V(1)/V(2) = 3/4
Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.
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Can someone help me with this. Will Mark brainliest.
Answer:
B ( -1, -8)
Step-by-step explanation:
A ( -7, -6)
midpt (-4, -7)
Equation:
(x + 3, y - 1)
Solve for B:
(-4, -7)
(x + 3, y - 1)
( -1, -8)
Find the value of x to the nearest tenth.
Answer:
2.8
Step-by-step explanation:
√(4² - 2²) = √12
=> √[(√12)² - 2²] = √8 ≈ 2.8
Solve for x and y
7x - 3y = 4 and -10x + 3y = 2
A. x = -2, y = -6
B. x = 6, y = -2
C. x = 2, y = -6
D. x = 6, y = 2
i get alot of these please help
Answer:
18 is 3 more than 9- false
18 is 3 times as much as 6 - true
9 is 3 times as much as 27- false
9 is 3 more than 6 - true