100 POINTS PLEASE HELP FAST
A researcher is following the growth if a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days
g(n)=10(1.02)^2
What is the average rate of change of the function g(n) from n=1 to n=5? Please show your work
Answers
The average rate of change of the function is 0.21025
How to determine the average rate of change of the functionFrom the question, we have the following parameters that can be used in our computation:
Equation: g(n)=10(1.02)^n
The interval is given as
n = 1 to n = 5
Calculate g(1) and g(5)
So, we have the following representation
g(1) = 10(1.02)^1 = 10.2
g(5) = 10(1.02)^5 = 11.041
The average rate is then calculated as
Rate = [g(5) - g(1)]/[5 - 1]
So, we have
Rate = [11.041 - 10.2]/[5 - 1]
Evaluate
Rate = 0.21025
Hence, the rate is 0.21025
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Related Questions
Multiply these two matrices: 1 2 3 4 5 −1 1 2 = a b c d a = b = c = d =
Answers
Answer:
7,3,19,5 SECOND 1,2,3,4
Step-by-step explanation:
answer on edg.
find the zeros of the function. State the multiplicity of multiple zeros.
y=7x^3-7x select the correct choice below and if necessary fill in the boxes within your choice.
1. The numbers _ are zeros of multiplicity 3
2. The numbers _ are zeros of multiplicity 2
3. The numbers _ are zeros of multiplicity 1
4. The numbers _ are zeros of multiplicity 1 and the numbers _ are zeros of multiplicity 2.
(picture added if needed :))
Answers
The numbers 0, 1, and -1 are zeros of multiplicity 1.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
To find the zeros of the function \(y=7x^3-7x\), we can set y equal to zero and solve for x:
\(7x^3 - 7x = 0\)
Factor out 7x:
\(7x(x^2 - 1) = 0\)
Factor the quadratic expression:
7x(x - 1)(x + 1) = 0
The zeros of the function are the values of x that make y equal to zero. From the factored expression, we see that the zeros are:
x = 0 (with multiplicity 1)
x = 1 (with multiplicity 1)
x = -1 (with multiplicity 1)
Therefore, the correct choice is: The numbers 0, 1, and -1 are zeros of multiplicity 1.
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Solve the inequality 7 ≥ b + -2
A. B ≤ 9
B. B ≤ 5
C. B ≥ 9
D. B ≥ 5
Answers
Answer:
Step-by-step explanation:
. \(7 \geq b + (-2) \\7+2 \geq b\\\\9 \geq b\\\\b\leq 9\)
choice a
isolate b ( leave b by itself)
to do that, add 2 to the 7.
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
WILL GIVE BRAINLIEST 50 POINTS
Answers
These same things are present
∆PQR=∆TUVSo
PQ=TU=12<R=<V=75<Q=180-(45+75)=60°=<UUV=QR=10TV=PR=7m<T=m<P=45Answer:
\(\sf \overline{PQ}=12\)
\(\sf \overline{UV}=10\)
\(\sf \overline{TV}=7\)
\(\sf m \angle T=45^{\circ}\)
\(\sf m \angle R=75^{\circ}\)
\(\sf m \angle Q=60^{\circ}\)
\(\sf m \angle U=60^{\circ}\)
Step-by-step explanation:
≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.
When comparing congruent shapes, inspect the order in which the vertices are given in the statement.
Therefore, if ΔPQR ≅ ΔTUV then:
\(\sf \overline{PQ} \cong \overline{TU}\)\(\sf \overline{QR} \cong \overline{UV}\)\(\sf \overline{PR} \cong \overline{TV}\)Similarly:
\(\sf m \angle P \cong m \angle T\)\(\sf m \angle Q \cong m \angle U\)\(\sf m \angle R \cong m \angle V\)Therefore, from inspection of the triangles:
\(\sf \overline{PQ} \cong \overline{TU}=12\)
\(\sf \overline{UV} \cong \overline{QR}=10\)
\(\sf \overline{TV} \cong \overline{PR}=7\)
\(\sf m \angle T \cong m \angle P=45^{\circ}\)
\(\sf m \angle R \cong m \angle V = 75^{\circ}\)
The sum of the interior angles of a triangle is 180°, therefore:
\(\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}\)
how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
Answers
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
Answers
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answers
Answer:
9000
Step-by-step explanation:
In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jonny wins is 0.3.
Find the probability that Harry and Jonny wins
Harry or Krish or Jonny wins
Someone else wins.
Answers
Answer:
jonny is the winner.
Step-by-step explanation:
No. of wins harry has = 0.4
No. of wins krish has = 0.2
No. of wins jonny has = 0.3
To find the prbability of harry and jonny = 0.4 + 0.3
= 0.7
Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.
krish = 0.2
harry = 0.4
= 0.6
now we have all three's score, so we will now see which is the greatest number.
krish= 0.6
harry = 0.4
jonny = 0.7
The greatest number is 0.7.
Hence, jonny is the winner!
HOPE IT HELPS PLZ MARK ME BRAINLIEST :D
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answers
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
Answers
4x - 5 = 2x + 7
First, let's simplify the equation by combining like terms:
4x - 2x = 7 + 5
2x = 12
Next, divide both sides of the equation by 2 to solve for x:
x = 12 / 2
x = 6
Therefore, the value of x that satisfies the equation is 6. None of the provided answer options (27, 37, 47, 57) are equal to 6.
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answers
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW
Answers
Answer:
gdfgdf
Step-by-step explanation:
Lisa earns $39 for 3 hours of babysitting what does she earn per hour of babysitting?
Answers
Answer:
13$
Step-by-step explanation:
just divide 39 by three.
39 dive by 3=13
13 x 3=39
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Question Progress
Homework Progress
22/44 Marks
Round the number 125.3546 to 1 decimal place.
Answers
Answer:
125.4
Step-by-step explanation:
Given
\(Number = 125.3546\)
Required
Round to 1 decimal place
Up till the first decimal place, the number is:
\(Number = 125.3\)
The digit after .3 is 5
The conditions for approximation are:
If n > 4, approximate to 1Else: approximate to 0In this case: 5 > 4, so we approximate to 1
Add this "1" to the last digit of 125.3. This becomes 125.4
Hence: when the number is approximated to 1 decimal place, the digit is 125.4
Please help! Thank you!
Answers
Answer:
here are some websites you can use:
mathpapa .com
desmos .com (scientific calculator)
calculatorsoup .com
1 + \(\frac{4}{8}\)
Answers
Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
\(\frac{8+4}{8}\)
\(\frac{12}{8}\)
\(\frac{3}{2}\)
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?
80
65
40
35
Answers
Answer:
d. 35
Step-by-step explanation:
y = 35x + 40
The slope is 35 as 'm' is the slope of the equation
LMK IF IT WAS RIGHT!!
Answer:
D (35)
Step-by-step explanation:
If a cube has volume 125cm³, find the height of the cube.
Answers
Answer:
height = 5 cm
Step-by-step explanation:
a cube has congruent sides (s)
the volume (V) of a cube is calculated as
V = s³
given V = 125 , then
s³ = 125 ( take cube root of both sides )
\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)
s = 5
then height = 5 cm
Solve the equation. Please help
Answers
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12
So, we have 2y/3 = 10/12
Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12
Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4
Therefore the final answer is A:
The solution set is {5/4}
PLEASE HELP ASAP!!!!! DUE SOON!!! FULL ANSWER!!!!!
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.
_____________ hours
Answers
Answer:
10 hours
Step-by-step explanation:
we need to know how fast it is filling up per hour:so we do 100=6xwe divide 6 by both sides\(\frac{100}{6} =\frac{6x}{6}\)we get x=16.66666667now we need to know what %will drain per hrso the equation is 100=15ynow we need to divide by both sides\(\frac{100}{15} =\frac{15y}{15}\)and we get y=6.666666667now that we have the input (x) and output (y) per hour we are going to find the difference 16.66666667-6.666666667=10 now we know that if we leave the drain open while we fill it, each hour it will fill %10now we have to figure out how many hours it will take1=0.1x (0.1 is %10 in decimal form)(1 is %100 in decimal form)we divide 0.1 into both sides\(\frac{1}{0.1}=\frac{0.1x}{0.1}\)and we get 10 hoursplease help me im almost done!
Answers
Answer:
if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true
I put the answers in bold
hope this helps!
Step-by-step explanation:
Stefan sells Jin a bicycle for $104 and a helmet for $17. The total cost for Jin is 110% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answers
The amount Stefan spent originally to buy the bike is; $100.91.
The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.
How much did the bicycle cost originally?According to the task content;
Stefan sold the bicycle and helmet for a total of;
104 + 17 = $111.
Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have
110% × x = 111
x = (111 × 100) / 110
x = $100.91.
Therefore, Stefan spent $100.91 originally to buy the bike and helmet.
Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.
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Which is the correct value of Z for the solution to true system?
2x+3y-z=4
x-3y+2z=-3
3x+y-z=5
Answers
The correct value of Z for the solution to true system is -2
How to determine the correct value of Z for the solution to true system?From the question, we have the following parameters that can be used in our computation:
2x + 3y - z = 4
x - 3y + 2z = -3
3x + y - z = 5
Transform the third equation
So we have
2x + 3y - z = 4
x - 3y + 2z = -3
9x + 3y - 3z = 15
Eliminate y in the equations by subtraction
So we have
x - 3z = 7
10x - z = 12
Multiply x - 3z = 7 by 10
10x - 30z = 70
10x - z = 12
Subtract the equations
-29z = 58
So, we have
z = -2
Hence, the correct value of Z is -2
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Patricia was having fun playing a card game. To win the game, she
needed the next two cards dealt to be yellow cards. There are 12
cards left in the deck, and three are[yellow.
What is the probability that the two cards dealt to Patricia will both
be yellow?
Answers
Answer:
25
%
Step-by-step explanation:
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The probability that the two cards dealt to Patricia will both be yellow
is 1/4.
What is the probability?In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.
Given, there are 12 cards left in the deck, and three are yellow.
To find the probability:
The probability= number of yellow cards in the deck / total number of cards in the deck.
= 3/12
= 1/4
Therefore, the probability is 1/4.
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With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
Answers
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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Is it carbohydrate, lipid, protein, or nucleic acid?
PLEASE HELP!!! LAST QUESTION AND IM STUCKK.
Answers
Answer:
nucleic acid
Step-by-step explanation:
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
Answers
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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Write an equation for the graph, where
y
depends on
x
.
Answers
Answer:
y= -2x+4
Step-by-step explanation:
1) if they want an equation where y depends on x, then you need to write the equation in slope-intercept form. Or... y=mx+b where m is the slope and b in the y-intercept.
2) looking at the line, it intercepts y at 4, so that is your intercepts or "b"
3) the slope is the change in the y values over the change in the x values for any two points. Notice if you choose the point (0,4) and (2,0) the change in the y values is -4 and the change in the x values is 2. Therefore, the slope is -4/2 or -2. -2 is your m.
4) once you plug those values in to y=mx+b, you have y= -2x+4
P=x-2 ÷ x+1 for what value of x is P undefined
Answers
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1