The function y = 100 ( 0.25 ) ˣ is an exponential decay function.
An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.
We are given a function:
y = 100 ( 0.25 ) ˣ
We need to tell whether is is a exponential growth or decay function.
We can see that the value of a ˣ = (0.25) ˣ
So, the value of a = 0.25.
Since, it is a decimal and not an integer, its value will decrease with the increase in exponent x.
So, it will be a exponential decay function.
Therefore, we get that, the function y = 100 ( 0.25 ) ˣ is an exponential decay function.
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You want to purchase a new bike that costs 134.98. To save for the bike, you mow your neighbor’s yard for 45$ each week. How much money will you have left over if you buy the bike after saving for 4 weeks
Answer: $44.02
Step-by-step explanation: 180 - 135.98 =
44.02
Evaluate
3²• 3 -⁵
———-
5-²
Answer:
0.926
Step-by-step explanation:
Simplify exponents
[tex](3^2*3^{-5})/5^{-2}\\(3^2*0.004)/5^{-2}\\(9*0.004)/5^{-2}\\(0.037)/5^{-2}\\0.037/0.04\\= 0.926[/tex]
Which is a true statement?
1. An object with more power does the same amount of work in less time.
2. Power is the amount of force exerted on an object over a unit of time.
3. An object with more power does the same amount of work in more time.
4. The work done on an object depends on how much time it takes to do the work.
A bakery sells apple pies for $9.15. If the pie has a diameter of 6 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
a $1.30
b $0.64
c $0.32
d $0.08
Based on the diameter of the pie, and the cost of the apple pie, the approximate cost per square inch of the apple pie is $0.32
How to find the approximate cost?First, find the area of the apple pie sold by the bakery because this will be needed to find the approximate cost per square inch.
Area of the pie will be the area of a circle:
= π x radius x radius
Radius is:
= 6 / 2
= 3 inches
The area of the apple pie is:
= π x 3 x 3
= 28.29 inch²
The approximate cost per square inch is:
= 9.15 / 28.29
= $0.32
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Answer: the answer is C $0.32
Step-by-step explanation:
This answer is proving the other person's answer correct
I got the questions on this test correct so I know the answer
Here is photo proof that it is correct
You can trust me because I always try my best to provide the correct answers on these tests. Have a good day FLVS students :)
What type of number is √/2?
Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9. What did Mari forget?
Answer: She forgot to add there signs
Step-by-step explanation:
Since both numbers are negative, you have to add their absolute values and then add their signs so its -9
Answer:
Step-by-step explanation:
She forgot to keep the same sign as the numbers being added (SAK) same , add , keep
1. Which of the following does NOT show an identity property?
4x1=4
5+1=5
3-0=3
2+1=3
Answer: The Answer is 5+1=5 or B
Step-by-step explanation:
This is because 5+1 does not = 5
Select the postulate that is illustrated for the real numbers.
5 · 1 = 5
The postulate is which illustrated the above expression is the multiplication identity.
As we are the given expression for the real numbers 5 . 1 =5, Jere the ". " depicts the multiplication symbol, and the here 1 is called the identity element. According to the postulate, it is said that the identity element which is the 1 in the group of rational numbers, when multiplied with any real number in a given mathematical system leaves the result of the product unchanged.
Such as 4 . 1=4
7 . 1 =7
12 . 1= 12
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Write a function for each situation. Then find the value of each function after five years. Round to the nearest dollar. A baseball card bought for $ 50 increases 3 % in value each year.
$57.96 is the value of each function after five years.
How does exponential growth utilise e?
e is the constant growth rate that all processes that are growing continuously share. With e, you may compare a simple growth rate—where all change occurs at the end of the year—with a compound, continuous growth rate, where growth occurs once per nanosecond or quicker.Let the principle sum be P
Let the number of years be n
Thus the total sum for n years is
P( 1 + 3/100)ⁿ → P( 103/100)ⁿ
= $50 ( 103/100)⁵
= $57.96
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Write each equation in exponential form.
log 0.0001=-4
The exponential form of the given equation is 0.0001 = [tex]10^{-4}[/tex]
The exponential function is the inverse of the logarithmic function and vice versa. This means that the logarithm of a given number, say x, is the exponent to which another fixed number that is the base b, must be raised, so as to produce that number x. Mathematically this means,
logₐ x = y
then x = [tex]a^{y}[/tex]
Here, we are given a logarithmic function- log 0.0001 = -4
since no base is given, we always assume it to be 10
thus, the function can be written as- 0.0001 = [tex]10^{-4}[/tex]
Hence, the exponential form of this equation is 0.0001 = [tex]10^{-4}[/tex].
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What is the classification for this polynomial?
-3m²n²
Click on the correct answer.
monomial
binomial
trinomial
Answer:
Monomial
Step-by-step explanation:
This is a monomial because there is only one term.
Monomial = one term.
Binomial = two terms
Trinomial = three terms
Hope this helps!
Please mark as brainliest if correct!
4 = 3а - 14 how do you get the problem set up
Answer:
Step-by-step explanation: 4=3a-14 then you add 14 to both sides and to isolate 3a should it look like this 18=3a then you divide 3 and to isolate "a" and you should 6=a
hope this helped :D
Answer:
a = 6
Step-by-step explanation:
Switch the sides
[tex]4=3a-14\\= 3a-14=4[/tex]
Group(right side)
[tex]3a-14=4\\3a-14+14=4+14[/tex]
Simplify arithmetic
[tex]3a=4+14\\3a=18[/tex]
Isolate "a"
[tex]3a=18\\\frac{3a}{3}=\frac{18}{3}[/tex]
Simplify this improper fraction by splitting it into its least common multiples
[tex]a=\frac{6 \times 3}{1 \times 3}[/tex]
Factor(Cancel GCF)
[tex]a = 6[/tex]
Concerns, let me know, otherwise, have a great day!
Sean is exploring a coral reef 91 feet below sea level and liz is hiking 91 feet above sea level. Who is hiking farther away from sea level
They are about same distance from sea level.
Sean is exploring a coral reel below level= 91 feet
Liz is hiking above sea level= 91 feet
When, we compare both distance from sea level, both have the sane distance. Although, the distance between both Sean and Liz is 91+91= 182 feet.
When compare the level of both , both are at 91 feet one is below the sea level and another is above the sea level. Hence, both are at the same distance from the sea level.
Hence, the correct answer is both at 91 feet from seal level.
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To avoid a storm, a passenger-jet pilot descended 0.27 mile in 0.6 minute. What was the plane's average change of altitude per minute???????
Answer:
the ratio of distance descended over time
Step-by-step explanation:
Find the two real solutions of each equation. x²=0.25
Answer:
x = 0.5, −0.5 i think
Step-by-step explanation:
bc 0.5 x 0.5 is 0.25 and in multiplication 2 negs equal a positive
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
23.04 x 1021
23.04 x 1022
2.304 x 1021
2.304 x 1022
The product of 4.5 x 1012 and 5.12 x 109 written in scientific notation is 23.04 x 110308
It is given that,
Two numbers are 4.5 x 1012 and 5.12 x 109
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 X 10^8 in scientific notation.
We need to find the product of both numbers and then find the final answer in scientific notation form
(4.5 x 1012) x ( 5.12 x 109 )
(4.5 x 5.12) x ( 1012 x 109)
23.04 x 110308
Hence, the product of 4.5 x 1012 and 5.12 x 109 written in scientific notation is 23.04 x 110308
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help please, will give brainliest! :)
The value of y is equal to 18.
What is the value of a variable related to geometric system?
In this problem we have a geometric system generated by two lines intersecting each other and generating two pairs of angles supplementary to each other. The system of linear equations representing the situation is presented below:
(8 · y - 13) + (3 · x + 4) = 180
3 · x + 8 · y = 189 (1)
(10 · x - 19) + (3 · x + 4) = 180
13 · x = 195 (2)
The solution to this system is (x, y) = (15, 18). The value of y is equal to 18.
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Moya is moving to a new house and packing up. She has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service. How much more do her clothes weigh than her books? How much is her shipping cost of she has to pay $80 per kg of books and $200 per kg of clothing?
The difference in her clothes and her books will be 57kg.
The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be $19800.
How to calculate the value?From the information, Maya has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service, the difference in her clothes and her books will be:
= Weight of clothes - Weight of books
= 127 kg - 70 kg
= 57 kg
The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be:
= 127(200) - 70(80)
= 25400 - 5600
= $19800
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1.15e-10 I can found the answer please help me
Answer: 0.000000000115
Step-by-step explanation: 1.15e-10 = 1.15x10^-10
You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to complete the game, you lose 3 points. You complete the game in 2 minutes 12 seconds using 30 correct moves. What is your score?
Answer:
1464
Step-by-step explanation:
Answer:
1104 points
Step-by-step explanation:
50 points for 30 correct moves is 1500 points
2 minutes and 12 seconds is equal to 132 seconds
at 132*-3 for each second is -396
1500-396 =1104 points
Which expression is equivalent to 9x + 4y + 2x - y²?
Answer:
11x + 4y - y^2
Step-by-step explanation:
You plus the same variables, in this time you got 9x and 2x so it's 11x!
Answer:
11x + 4y - y²
Step-by-step explanation:
9x + 4y + 2x - y²
combine like terms
11x + 4y - y²
the height of a triangle is twice its base the area is 144cm³ find the base
Answer:
Base = 12cm
Height = 24cm
Step-by-step explanation:
Hello glittersplanet,
The formula for the area of a triangle is A = 1/2 b * h where A equals the area, b equals the base, and h equals the height. You are given the area in this problem.
Let the following conditions apply:
Base = x
Height 2x <-------Problem states the height is twice its base, correct?
Therefore:
A = 1/2 b*h
144 = 1/2 (x)(2x)
Simplify by removing the fraction by multiplying through by 1/2 and you are left with x^2 correct? Therefore:
144 = x^2
x = √144
x = 12
Therefore, base = x = 12 while height = 2x = 2(12) = 24
x = √144
Footing-x=12
Height-x2=24
Plot 8,1 , and -3 on the number line.
Answer:
8 would come on the 3rd notch past 5( is behind 10 2 notches.
1 would come one notch after 0.
-3 would come 3 notches befor 0 and 2 notches after -5.
Step-by-step explanation:
Hope it helps! =D
2x+36=8x solve for x NO WORDS
Answer:
x = 6
Step-by-step explanation:
Subtract, simplify, subtract
[tex]2x+36-36=8x-36\\2x=8x-36\\2x-8x=8x-36-8x\\[/tex]
Simplify
[tex]-6x=-36[/tex]
Divide
[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]
Reverse the equation by the fraction rule
[tex]\rightarrow \frac{6x}{6}\\= x\\\rightarrow \frac{36}{6}\\= 6\\6 = x\\\uparrow\downarrow\\x = 6[/tex]
What is this? ба + 12 = 2(за - 8)
It's a simple linear (first degree) equation in ' a '.
It has no solution.
14,040-50x = 12,500+20x
Answer:
x = 22
Step-by-step explanation:
14,040 - 50x = 12,500 + 20x
14,040 - 12,500 = 20x + 50x
1540 = 70x
x = 22
540 was rounded to the nearest ten.
What is the lower bound?
Evaluate each logarithm.
log₄2
The value of the expression log₄2 is 1/2.
The logarithmic function is the inverse of the exponential function. This means that the logarithm of a given number, say x, is the exponent to which another fixed number that is the base b, must be raised, so as to produce that number x.
Log a to the base b can be written as- log a/ log b.
Moreover, log [tex]a^{k}[/tex] = k log a, for all non negative values of a
Here, we are given a logarithmic expression- log₄2
We can expand this as-
log₄2 = log 2/ log 4
= log 2/ log [tex]2^{2}[/tex]
= log 2/ 2 log 2
= 1/2
Thus, the value of log₄2 is 1/2.
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Honers Algebra 1 Math Questions (Please show all work) Day 2: Functions part 2
For numbers 1 & 2, find the domain of the function in interval notation:
1.g(x)=13x-15/x+4
2.y=x2-10x+2
For numbers 3 & 4, solve the word problems:
3.The temperature in degrees Fahrenheit that is equivalent to a temperature in degrees Celsius is given by the function F(C)=95C+32. Find the temperature in degrees Fahrenheit that corresponds to a temperature of 15 degrees Celsius.
4.A ball is thrown in the air and its height after t seconds is given by the following function: h(t)=-16t2+32tHow high is the ball after 2 seconds?
1. The domain of the function in interval g(x) = 13x-15/x+4
Domain: (−∞,0)∪(0,∞),{x|x≠0
Range: (−∞,∞),{y|y∈R}
2. The domain of the function in interval y=x2-10x+2
Domain: (−∞,∞) {x|x∈R}
Range: (−23,∞),{y|y≥-23}
3. By rearranging the equation so that C is in terms of F, you may determine the inverse:
F= 5/9C+32
32 is deducted from both sides.
F−32= 5/9C
Add five to both sides:
5(F−32)=9C
multiply both sides by 9.
C= 5/9(F−32)
C=− 25/9
−2.78C o 2.dp
The inverse is, in fact, a one-to-one function.
4. We are looking for the height at t=0 in order to determine the beginning height. To do this, replace t with 0 and find h.
h(t)= -16t2 + 32t + 24
h(0) = -16(0)2 + 32(0) + 24
h(0) = 24
24 feet is the initial height
The constant in the equation often represents height. 24 in this instance.
The coefficient of x, in this case 32, represents the beginning velocity.
32 feet per second is the beginning velocity.
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NEED IT ASAP!!!! The length of the string of a pendulum, L, can be determined using the function L(p)=9.8(p/2pie)^2 , where p is the period of the pendulum. The velocity at the bottom of the pendulum can be modeled by the function v(L)=\sqrt{19.6L} .
Which function can be used to find the velocity at the bottom of the pendulum released from the same angle for any period, p?
A function which can be used to determine the velocity V(L(p)) at the bottom of the pendulum released from the same angle for any period, p is V(L(p)) = p/2π√192.08.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
Given the following data:
L(p) = 9.8(p/2π)².
V(L) = √19.6L
A function which can be used to determine the velocity V(L(p)) at the bottom of the pendulum released from the same angle for any period, p is given by:
V(L(p)) = √[19.6 × 9.8(p/2π)²]
V(L(p)) = √(19.6 × 9.8) × √(p/2π)²)
V(L(p)) = 192.08 × (p/2π)
V(L(p)) = p/2π√192.08
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Answer:
its B V(L(p)) = p/2π√192.08
Step-by-step explanation: