The exponential grows at the same rate as the quadratic in the interval
0 ≤ x ≤ 1.
What is the Average Rate of Change function?The average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
The average rate of change of a function A = [tex](f(a) - f(b))/(b-a)[/tex]
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2.
A quadratic function, say g(x), such that g(0) = 0 and g(1) = 1.
The rate of change of a function f(x) over an interval a ≤ x ≤ b is given by
[tex](f(a) - f(b))/(b-a)[/tex].
Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval 0 ≤ x ≤ 1 is given by
= (2-1)/1 = 1
Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval 0 ≤ x ≤ 1 is given by
=(1 - 0)/1 = 1
Therefore, the exponential grows at the same rate as the quadratic in the interval 0 ≤ x ≤ 1.
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what is a non-example of scaling?
Answer:
A rate is two variables that relies on each other so a example would be a projectile and a cannon, in relation the cannon goes no where while the projectile is flying through the air
Step-by-step explanation:
Macky wants to open a checking account. He is examining different banks and banking accounts. Then he will choose a bank account for his needs. Which of the following statements should not be one of Macky’s reasons for choosing a bank?
Answer:The statement "The bank has the best decors and paintings in their branch" should not be one of Macky's reasons for choosing a bank. While the appearance of a bank branch may be important to some customers, it is not a primary factor in choosing a bank account. Macky should focus on more important factors such as interest rates, fees, customer service, and overall financial stability of the bank.
Step-by-step explanation:
The statement "The bank has the best decors and paintings in their branch" should not be one of Macky's reasons for choosing a bank. While the appearance of a bank branch may be important to some customers, it is not a primary factor in choosing a bank account. Macky should focus on more important factors such as interest rates, fees, customer service, and overall financial stability of the bank.
A basketball player who has made 70% of his foul shots during the season gets to take 5
shots in the first playoff game. Assuming the shots are independent, what’s the probability
that he makes:
• exactly 3 of the 5 shots? • exactly 4 of the 5 shots? • all 5 shots? • 3 or 4 of the shots?
a) The probability that the player makes exactly 3 of the 5 shots = 0.3087
b) The probability that the player makes exactly 4 of the 5 shots = 0.36015
c) The probability that the player makes all 5 shots = 0.16807
d) The probability that the player makes 3 or 4 of the shots = 0.66885
What is a Binomial Distribution?The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability be represented as P
The total number of trials n = 5
The probability of getting a success p = 0.70
The probability of getting a failure q = 0.30
Now , the equation will be
a)
The probability that the player makes exactly 3 of the 5 shots = A
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 3
Substituting the values in the equation , we get
A = ⁵C₃ ( 0.70 )³ ( 0.30 )²
A = 10 ( 0.343 ) ( 0.09 )
A = 0.3087
So , probability that the player makes exactly 3 of the 5 shots is 0.3087
b)
The probability that the player makes exactly 4 of the 5 shots = B
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 4
Substituting the values in the equation , we get
B = ⁵C₄ ( 0.70 )⁴ ( 0.30 )¹
B = 5 ( 0.2401 ) ( 0.3 )
B = 0.36015
So , probability that the player makes exactly 4 of the 5 shots is 0.36015
c)
The probability that the player makes all 5 shots = C
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 5
Substituting the values in the equation , we get
C = ⁵C₅ ( 0.70 )⁵ ( 0.30 )⁰
C = 0.16807
So , probability that the player makes all 5 shots is 0.16807
d)
The probability that the player makes 3 or 4 of the shots = D
D = A + B
D = 0.3087 + 0.36015
D = 0.66885
Hence , the probability is solved
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PLEASE ASAP, DUE TODAY
Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.
Part 1
Complete the table to determine his total cost for a given number of notebooks.
Format your response using 2 decimal places and NO symbols. Example: 25.00
Please helppppp this is due tomorrow
Answer:
3/8
Step-by-step explanation:
Two triangles = one square
Since there are 4 squares, then there are 8 triangles
We see one triangle is shaded.
We also see one square is shaded, which means 2 triangles are shaded.
2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8
Select all the statements that you agree with
Answer: 1 3 4
Step-by-step explanation:
Mr.Bhavsar is buying a new Star Wars costume.it priced at $82 but he had a coupon for 25% off.the costume is subject to a 6% tax, and Mr.bhavsar has to pay $7 in shipping for his total order
The total cost of Mr.Bhavsar's order after the coupon for 25% off, a 6% tax, and $7 shipping will be $72.19.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The cost of the new Star Wars after a coupon for 25% off and a 6% tax will be given as,
⇒ $82 x (1 - 0.25) x (1 + 0.06)
⇒ $82 x 0.75 x 1.06
⇒ $65.19
The total cost after shipping will be given as,
Total cost = $65.19 + $7
Total cost = $72.19
The total cost of Mr.Bhavsar's order after the coupon for 25% off, a 6% tax, and $7 shipping will be $72.19.
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PLEASE HELP!!!! BRAINEST IF CORRECT ONLY
Answer:
1. consistent independent
2. consistent dependent
3. inconsistent
Step-by-step explanation:
1. when we take the ratios of the two equations,
[tex]a_{1} : a_{2} \neq b_{1} :b_{2}[/tex]
2. when we take the ratios of the two equations,
[tex]a_{1} : a_{2} = b_{1} :b_{2} = c_{1} : c_{2}[/tex]
1. when we take the ratios of the two equations,
[tex]a_{1} : a_{2} = b_{1} :b_{2} \neq c{1} : c_{2}[/tex]
Step-by-step explanation:
4x + y = 8
x + 3y = 8
consistent independent
both equations are lines with different slope.
so, they intersect at one point.
that is the solution.
-4x + 6y = -2
2x - 3y = 1
consistent dependent
both equations are actually identical lines.
multiply the second equation by -2.
and you see the equality.
that means every point is a solution.
there are infinitely many solutions.
5x - 2y = 4
5x - 2y = 6
inconsistent
both equations are lines with identical slopes.
but with different y-intercepts.
they are parallel and never intersect.
there is no solution.
there is no (x, y) that their sum has 2
different results.
PLEASE HELP!!!!!
Given that RS=18 and QR=6, identify the length of PS
Answer:
12 root 3
Step-by-step explanation:
first, you can say that QRP is similar to PRS
with the ratios, you can say that
[tex]\frac{QR}{PR} = \frac{PR}{RS}\\[/tex]
by substituting values, you have
[tex]\frac{6}{PR} = \frac{PR}{18}\\[/tex]
[tex]PR^2=108[/tex]
[tex]PR=6\sqrt{3}[/tex]
using pythagorean theorem, you can determine that
[tex]PS^2=(6\sqrt{3})^2+18^2[/tex]
[tex]PS^2=432[/tex]
[tex]PS=\sqrt{432}=12\sqrt{3}[/tex]
Answer:
12√3
Step-by-step explanation:
cos∠RSP = 18/PS
cos∠PSQ = PS/24
∠RSP=∠PSQ (the angle at S)
18/PS = PS/24
(PS)² = (18)(24) = 432
PS = √432 = 12√3
PLSSS HELP NOW!!!
what is the period of the sinusoidal function? enter your answer in the box.
Step-by-step explanation:
4
Ws
The points A, B, and C, shown on the number line, have weights 0.5, 0.3, and 0.2 respectively.
H
в с
2 3 4 5 6 7 8
9 10
Which statement is true about the weighted average, w, of the points A, B, and C?
w lies before A.
w lies beyond C.
w lies between A and B.
w lies between B and C.
Answer:
"w" (and any subsequent words) was ignored because we limit queries to 32 words.
w = 0.33 so, w lies before A, B, and C.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Average weight.
w = Sum of all the weight / 3
w = (0.5 + 0.3 + 0.2) / 3
w = 1/3
w = 0.33
Now,
A = 3, B = 6, and C = 7 on the number line.
0.33 lies before A, B, C
Thus,
w lies before A.
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olve the word problem
For a period of time, an island's population grows at a rate proportional to its population. If the growth rate is 3.8% per year and the current population is 1543, what will the population be 5.2 years from now
Step-by-step explanation:
To solve this problem, we'll use the exponential growth formula:
P(t) = P0 * e^(rt)
Where P(t) is the population after t years, P0 is the initial population (1543), r is the growth rate (0.038), and t is the number of years (5.2).
P(5.2) = 1543 * e^(0.038 * 5.2)
Using a calculator or natural logarithm rules:
P(5.2) = 1543 * e^0.199
P(5.2) = 1543 * 1.22
P(5.2) = 1887.46
So the population will be approximately 1887.46 after 5.2 years.
I need a bat to hit a ball with sport
Answer:
im confused are you asking a question or telling us about something?
if i need to put streamers from concern to corner in both directions and the wall is 4 ft wide and 8ft high how much streamer do I need
To put the streamer on the whole wall we need at least 32 Square feet of the streamer.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, to put streamers from concern to corner in both directions and the wall is 4 ft wide and 8ft high.
Since the area of a rectangle:
Area = Length * width
Thus,
The area of the wall = 4 * 8
The area of the wall = 32
So,
The Streamer required = 32 square feet
Therefore, We need at least 32 square feet of streamer to cover the entire wall.
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Suppose that the relation G is defined as follows.
G= {(1,-4), (9,0), (-4,6), (9,8)}
Give the domain and range of G.
Write your answers using set notation.
WILL GIVE BRAINLIEST TO QUICKEST ANSWERS
Answer:y = 4x-5.
Step-by-step explanation:
222222222222222222222
A. Copy Theorem 2.3(theorem is the screenshot given) and apply it to the case when
n=7 and a=2.
B. Use the Desmos Graphing Calculator tool for
this part. Graph the function from PART A in the color blue. Use a red dotted line to
create the vertical asymptote associated with this graph. upload a
screenshot/picture of the graph with the equations you used.
The required solution is as follows,
(A) The value of the limit is -∞, as 7 is an odd number.
(b) Graf of the function has been shown.
Limit, which can be defined as every nearby value of a variable for a function that exists, is called limits
Here,
According to the question,
[tex]y = \lim_{x \to \ a} 1/[x-a]^n[/tex]
Put a = 2 and n = 7
[tex]y = \lim_{x \to \ 2} 1/[x-2]^7[/tex]
As n = 7 is odd, from the theorem,
y = -∞, as 7 is an odd number.
Thus, the required solution is as follows,
(A) The value of the limit is -∞, as 7 is an odd number.
(b) Graf of the function has been shown.
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A first-time homebuyer is comparing mortgage rates.
Option A offers the homebuyer 5.25% annual simple interest.
Option B offers the homebuyer the same interest rate but compounded semiannually.
If the repayment period is the same length for both loans, which option will result in the least amount of interest added to the loan?
O Option A will have the least amount of interest because simple interest generates earnings from both principal and interest.
O Option A will have the least amount of interest because simple interest generates earnings from principal only.
O Option B will have the least amount of interest because compound interest generates earnings from principal only.
O Option B will have the least amount of interest because compound interest generates earnings from both principal and interest.
If the repayment period is the same length for both loans, the interest option that will result in the least amount of interest added to the loan is B. Option A will have the least amount of interest because simple interest generates earnings from principal only.
What is the simple interest?The simple interest is the interest system that does not compute interest on accumulated interest.
Unlike simple interest, compound interest charges interest on accumulated interest.
Thus, the simple interest system applies the interest rate on the principal only for each period to determine the amount of interest.
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Answer: Option A will have the least amount of interest because simple interest generates earnings from principal only.
Step-by-step explanation: because it says it’s right on the computer;p
in the figure, OA/OC=OB/OD=1/4. the value of DC is 120 by the SAS test
The value of DC is of 80, hence the statement is false.
What are similar triangles?Similar triangles share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The similar triangles for this problem are given as follows:
AOB and COD.
Hence the proportional relationship established between the side lengths is given as follows:
OA/OC = OB/OD = 1/4 = AB/DC.
Taking the last two terms, considering that AB = 20 cm, the length of DC is given as follows:
DC = 4 x AB
DC = 4 x 20 cm
DC = 80 cm.
Hence the statement is false, as the length is of 80 cm and not of 120 cm.
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Mathmatics For Calculus
The value of function f ' (2) is, 7/4.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
We have to given that;
The function is,
⇒ f (x) = 7/x
Now, We an solve as;
⇒ f ' (2) = lim h → 0 ( f (2 + h) - f (2) / h )
⇒ f ' (2) = lim h → 0 ( 7 / (2 + h) - 7/2 / h )
⇒ f ' (2) = lim h → 0 ( 7/h (2 - 2 - h) / (2 + h)×2)
⇒ f ' (2) = lim h → 0 ( 7/h ( - h ) / 2 (2 + h) )
⇒ f ' (2) = lim h → 0 ( - 7 / 2 (2+ h))
⇒ f ' (2) = - 7/4
Thus, The value of function f ' (2) is, 7/4.
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Answer: a = 2 f(x) = x^5
Step-by-step explanation:
Work out the following sheet
<NOM = 59° (vertically opposite angles)
<STU = 96°(Exterior angle of a triangle)
What is the Theorem of triangles?There are mathematical statement that can be used to show the relationships between the sides of the triangle this is what we call the theorems of the triangle.
In question 1; Angle NOM = 59° because it is vertically opposite angle POQ
In question 2; Angle UVT = Angle VUT = 42°
Angle UTV = 180 - 2(42)
= 96°
Then;
Angle STU = 96° (This is because the angle STU is the sum of the interior opposite angles.).
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66 out of the 75 employees at the water slides are temporary employees what percentage of the employees at the water slides are temporary
The percentage of the employees at the water slides are temporary is 88%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
To find the percentage of the employees that are temporary
66/75 x 100/1
=88%
Hence, 88% is the percentage of the employees at the water slides are temporary
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Expression equivalent to X^5 - 2x^4 + x^3
The A minor scale uses the white notes on the keyboard from A to A, but with G# instead of G.
A. True
B. False, the A minor scale uses all the white and black notes from C to C
C. False, the A minor scale uses the black notes on the keyboard from A to A
D. False, the A minor scale uses the white notes on the keyboard from C to C
"The A minor scale uses the white notes on the keyboard from A to A, but with G# instead of G." is True Option A
What is a minor scale?Generally, The tonic of a minor scale, which is the first note of the scale, is located a minor third above the root note of the scale. A minor scale is a sort of musical scale that consists of seven notes.
The A minor scale is a 7-note, the diatonic scale made up of the notes A, B, C, D, E, F, & G. It's the only minor scale that doesn't contain any sharps or flats.
A Natural Minor is A, B, C, D, E, F, G, A. Notice that the A Natural Minor Scale has no notes with accidentals. Let's build a G# Natural Minor Scale. Our starting note will be G#.
Therefore, Option A is true
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STRUCTURE Find the value of x for which PQ|| RS.
the square of the difference of 10 and j less than the product of ten cubed
The algebraic expression for "the square of the difference of 10 and j less than the product of ten cubed" is (10 - j)² < 10³.
How to write algebraic expressions?An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
The statement "the square of the difference of 10 and j less than the product of ten cubed" can be written as follow:
Step 1: Square the difference of 10 and j: (10 - j)²
Step 2: less than the product of ten cubed: (10 - j)² < 10³
Therefore, the algebraic expression is (10 - j)² < 10³
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S.P. = Rs. 210 C.P. = Rs. 190 then Profit =
Answer:
SP-CP=PROFIT
210-190=20
the profit is 20
Step-by-step explanation:
Answer:
Rs 20
Step-by-step explanation:
S.P. (Selling Price) is the price at which a product is sold. C.P. (Cost Price) is the price at which a product is purchased. When S.P. is greater than C.P., it results in a profit. To calculate profit, the formula is simple:
Profit = S.P. - C.P.
In this case, S.P. is Rs. 210 and C.P. is Rs. 190. So, the profit would be calculated as:
Profit = Rs. 210 - Rs. 190 = Rs. 20.
Find the equation of the circle shown
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-5}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{5}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-5) ~~ )^2 ~~ + ~~ ( ~~ y-5 ~~ )^2~~ = ~~5^2\implies \boxed{(x+5)^2 +(y-5)^2 = 25}[/tex]
-4
Write 2 with out exponent
The number -4 as an exponent of 2 is is (√-4)^2
How to express the expression as an exponentFrom the question, we have the following parameters that can be used in our computation:
-4
Express the exponent of teh expression as 1
So, we have the following representation
-4^1
Express 1 as 2/2
-4^2/2
So, we have
(√-4)^2
Hence, the solution is (√-4)^2
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Find the slope of the line between (19,-27) and (34,15)
The segments shown below could form a triangle.
OA. True
OB. False
The given statement exists true. A segment from the vertex of a triangle that is parallel to the other side.
What segments can form a triangle?The total of the lengths of any two segments must be greater than the length of the third segment in order to create a triangle. Any two sides of a triangle's lengths added together must be longer than the third side.
Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is seen in the above figure.
A segment from the vertex of a triangle that is parallel to the other side. This section could be found on the triangle, inside it, or outside it.
There are three medians for every triangle, just as there are three altitudes, angle bisectors, and perpendicular bisectors. The lines that connect a triangle's vertices to the middles of its two opposite sides are known as the medians. The centroid of the triangle is the location where the three medians intersect.
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True. Since all the three combinations of segments when added the sum is greater than the third side the given segments can form a triangle.
How is this determined?According to the Triangle Inequality Theorem, a triangle's two side lengths added together are always greater than its third side. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.
Given that the length of the three segments is:
AC = 9 units
CB = 4 units
BA = 11 units
According to the Triangle Inequality Theorem the sum of two sides of a triangle is always greater than third side. If this is true for all three combinations, then the triangle can be formed.
For the given segments:
AC + CB > BA
9 + 4 > 11
13 > 11 True
4 + 11> 9
True
9 + 11 > 4
Since all the three combinations when added the sum is greater than the third side the given segments can form a triangle.
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