The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
[tex]$f(t)=A b^t$[/tex] , where A is the initial amount , b is the growth factor and t is the time period.
The given function : [tex]$f(x)=(6)^x$[/tex]
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?
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The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
F(t) = AB^t, where A is the initial amount , b is the growth factor and t is the time period.
The given function : f(t) = (6)^x
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
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The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?
The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Answer:
Step-by-step explanation:
$66.67/month for three months
The monthly payment is calulated by dividing the total cost of the mountain bike by 3. For example, if the total cost is $200, the three monthly payments will be $66.67 each:
$200
---------------- = $66.67/month for three months
3 months
Solve the equation below on the interval [0, 2pi). Select ALL that apply.
cos^2x-1=0
A. 0
B. pi/2
C. pi
D. 2pi
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.
Part A
What is her new rate?
Answer $ _____ per lawn
Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn
Answer:
Rate when price rises 20% = $36
Rate when price downs 20% = $24
Step-by-step explanation:
Given:
Current rate to mow = $30 per lawn
Find:
Rate when price rises 20%
Rate when price downs 20%
Computation:
Rate when price rises 20%
Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]
Rate when price rises 20% = 30 + 20%[30]
Rate when price rises 20% = 30 + 6
Rate when price rises 20% = $36
Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]
Rate when price downs 20% = 30 - 20%[30]
Rate when price downs 20% = 30 - 6
Rate when price downs 20% = $24
Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi
The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.
What is the function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Given:
f(x)=√x - 2 + 3.
The inverse function can be found as shown below,
f⁻(x) = √(y - 2) + 3 (Replace x by y)
x = √(y - 2) + 3
solve the equation as shown below,
x - 3 = √(y - 2)
Squaring both sides,
(x - 3)² = [√(y - 2)]²
x² + 9 - 6x = y - 2
x² + 9 - 6x + 2 = y
y = x² - 6x + 11 or y = (x - 3)² + 2
Thus, the inverse of the function is (x - 3)² + 2.
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A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?
Does anyone know how to solve this?
Answer:
the answer for first question is $112.
the answer for second question is 16 trips.
Step-by-step explanation:
Hope it helps you!!
Step-by-step explanation:
a) 224-14(8)=224-112=112dollars
b) 112 divided by 14=8trips
The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate
On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,
stabilizing selection type of selection does this demonstrate is shown by frequency distribution.
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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?
Pls help I need it now!!
Answer:
42
Step-by-step explanation:
18 different rides. cost 1.75 the function c(R)=1.75
Answer:
Step-by-step explanation:
Domain= [0,18], Range = [0,31.50]
If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]
Look at image to answer
1350000 because 20x15 and 30x15
Answer:135000 ft^2
Step-by-step explanation:
The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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which is 9% written as a decimal A) 0.009 B) 0.09 C) 0.9 D) 9.0 E) 90.0
Answer:
B.
Step-by-step explanation:
I used the percent button on my calculator. :)
Hope this helps
Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 5.
A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property
Why are fossil fuels considered nonrenewable resources?
A.
They create pollution and people have to clean it up.
B.
They are found underground and must be processed.
C.
They cannot be found in nature and have to be made.
D.
They cannot be replaced as fast as they are being used.
Answer:
D They cannot be replaced as fast as they are being used
help me plssss it’s due tonight
Answer:
Answer choice A
Step-by-step explanation:
This is the midpoint of both coordinates.
find the measure indicated in each parallelogram
Answer:
Step-by-step explanation:
WX≅VY
VY = 7
CD≅BE
BE = 13
how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx
The numeric value for each trigonometric expression is given as follows:
3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]
4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]
How to obtain the numeric value for the trigonometric expressions?The first trigonometric expression for this problem is defined as follows:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]
The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:
[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).Hence:
[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]
For item 4, the angles are on the first quadrant, hence:
[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]Hence the numeric value of the expression is given as follows:
[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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Personal Finance
Which of these is an economic good?
a motel room
camping in a cave
fresh air
water from a spring
Answer:
Fresh air
Step-by-step explanation:
What is value of x
Enter your answer in the box.
Answer:
x=10
Step-by-step explanation:
Lets use a ratio.
3:2 (12 to 8)
We need to scale the x+4 up 3/2 to be equal to 2x+1
(3/2) x+4 = 2x+1
1.5x+6=2x+1
-1.5x -1.5x
6=0.5x+1
-1 -1
0.5x=5
x=10
In ΔDEF, e = 11 cm, f = 44 cm and ∠D=41°. Find the area of ΔDEF, to the nearest square centimeter.
Answer:
Not Rounded- 158.766
Rounded- 159
Step-by-step explanation:
Delta Math
P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)
Answer:
P=4×5+3×-2
P= 20x-6y
4e²+8e
Please help?!!!¡¡!!!
Answer:
Option B, [tex]\sqrt[6]{\frac{x}{4} }[/tex]
Hope this helps!
Find A in degrees. Round to the nearest tenth.
a=7
b=4
c=8
A=[?]°
Answer:
61 degrees.
Step-by-step explanation:
Use the law of cosine.
In this case, the law of cosine is:
7^2=4^2+8^2-2(4)(8)cos a
Meaning:
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Answer: 61 degrees
Step-by-step explanation:
7^2=4^2+8^2-2(4)(8)cos a
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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What is the value of x in3 √ x 9?
In the given equation x = 9 is the value that satisfies the equation.
What are Square root?The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".
In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.
To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.
[tex]3 \sqrt{x} = 9[/tex]
Squaring both sides:
[tex](3 \sqrt{x} )^2 = 9^2[/tex]
[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]
Therefore, x = 9 is the value that satisfies the equation.
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What is meant by halting problem?
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
Describe a tractable problem.an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.
Here,
The halting problem claims that no computer can be created that can anticipated.
the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.
Software development is directly affected in practice by the stopping problem's insoluble nature.
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
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