Answer:
a = 1500
b = 0.97
Step-by-step explanation:
The equation we are modeling is ;
F(x) = ab^x
Now we have two parameters to fix.
These are the density and the annual percentage increase
We can substitute the value of 1500 for a and also make a corresponding substitution for b.
Now for b, the value to substitute is quite dicey.
3% = 3/100 = 0.03
To make any substitution, we need to subtract this value from 1 and that would be 0.97
So it is this 0.97 that we now raise x to for each of the number of years
Max must take 10 steps to go the same distance as three of his dad's steps. His dad takes 30 steps to walk down the hall. How many steps must Max take to walk down the same hall?
Max : 10 steps : Dad: 3 steps.
So it you multiply those each by ten, you get
100 steps : 30 steps.
30 Dad steps is 100 Max steps, so you get the answer, which is 100!
The steps taken by Max is 100.
what is arithmetic operators?A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.
Given
steps taken by Max = 10
Steps taken by his Dad = 3
both steps of Dad and steps of Max should be in ratio
3/10 …(1)
steps taken by his Dad = 30
let steps taken by Max = x
ratio = 30/x …..(2)
equation 1 equals equation 2
3/10 = 30/x
x = (30 x 10)/3
x = 100
Hence Max must take 100 steps.
Learn more about arithmetic operators;
https://brainly.com/question/25834626
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Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G
Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]
Can anyone help me with this please? And QUICK!
Answer:
30.6
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 23°
Opposite = 13
Adjacent = y
The value of y can be obtained by using the following trig ratio:
Tan θ = Opposite /Adjacent
Tan 23° = 13/y
Cross multiply
y × Tan 23° = 13
Divide both side by Tan 23°
y = 13/Tan 23°
y = 30.6
Therefore, the value of y in the diagram above is 30.6
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
Is 210879 divisible by 3?
PLEASE HELPP
Answer:
Yes
Step-by-step explanation:
Well to figure out if 210879 is divisible by 3 we do,
210879 / 3
= 70 293.
Thus,
210879 is divisible by 3.
Hope this helps :)
Answer: Yes
Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.
Image is provided below.
The divisibility rules tell us that if the sum of the digits is divisible by 3,
then the number is also divisible by 3.
So since 27 is divisible by 3, 210,879 must also divisible by 3.
So our answer is yes, 210,879 is divisible by 3.
PLZ HELP (BRAINLIEST)
Answer:
C. y = 0.5x + 5
Hope that helps.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B
Step-by-step explanation:
The domain of a function is every x-value, and the range is every y-value.
Hope it helps <3
Answer:
B
Domain: (-∞,∞)
Range: (-∞,5]
Step-by-step explanation:
The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.
The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!
Hope this helped and good luck :)
HELP ME PLZ! I will not accept non sense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
[tex]A = 1500(1.00167)^{12t}[/tex]
=================================
Explanation:
You could use the formula
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.
Please answer this question now
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
What type of linear system is shown below?
A inconsistent
B. consistent and independent
C. consistent and dependent
D. inconsistent and dependent
Graph is attached , please help
Answer:
The linear system shown on the graph is consistent and independent
Step-by-step explanation:
The linear system shown on the graph is consistent because it has at least one solution which satisfy both linear graphs. The solution is at the point of interception of the two line graphs.
The linear system shown on the graph is independent because the two line graphs are distinct and not parallel or dependent on one another.
Therefore, The linear system shown on the graph is consistent and independent
hey can someone help me!! in need of help!! ASAPPPP
Answer:
D
Step-by-step explanation:
To be a function each value of x must correspond to only one, unique value of y.
In the given ordered pairs
Each x- value corresponds to exactly one y- value
PLEASE HELP!! DUE SOON
Answer:
b=3a/8
a=8b/3
Step-by-step explanation:
b/a=k ( k is the constant proportional)
3/8=9/24=15/40
b/a=3/8
b=3a/8
a=8b/3
I hope this is right answer
Which graph represents this function, f(x)=1/2x-5
Answer:
If I'm not mistaken your graph is supposed to be like this
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Please answer answer question answer
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes. Calculate the rate that the water is draining out of the pool. (Hint: remember this line is sloping down to the right) b) Calculate how much water was in the pool initially (at time 0). I think it was 80 000 c) Write an equation for this relationship. d) Use your equation to calculate how much water is in the pool at 62 minutes.
Step-by-step explanation:
At t = 20 min, V = 45,000 L.
At t = 70 min, V = 0 L.
a) The rate is the slope:
m = ΔV/Δt
m = (0 L − 45,000 L) / (70 min − 20 min)
m = -900 L/min
b) Using the slope to find V when t = 0 min:
m = ΔV/Δt
-900 L/min = (V − 0 L) / (0 min − 70 min)
V = 63,000 L
c) Use slope-intercept form to find the equation.
V = -900t + 63,000
d) At t = 62 min:
V = -900(62) + 63,000
V = 7200
Answer:
a. -900 L/min
b. Vo = 63,000 Liters
c. V ( t ) = 63,000 - 900*t
d. 7,200 Liters
Step-by-step explanation:
Solution:-
We have a swimming pool which is drained at a constant linear rate. Certain readings were taken for the volume of water remaining in the pool ( V ) at different instances time ( t ) as follows.
t = 20 mins , V = 45,000 Liters
t = 70 mins , V = 0 Liters
To determine the rate ( m ) at which water drains from the pool. We can use the linear rate formulation as follows:
[tex]m = \frac{V_2 - V_1}{t_2 - t_1} \\\\m = \frac{0 - 45000}{70 - 20} \\\\m = \frac{-45,000}{50} = - 900 \frac{L}{min}[/tex]
We can form a linear relationship between the volume ( V ) remaining in the swimming pool at time ( t ), using slope-intercept form of linear equation as follows:
[tex]V = m*t + V_o[/tex]
Where,
m: the rate at which water drains
Vo: the initial volume in the pool at time t = 0.
We can use either of the data point given to determine the initial amount of volume ( Vo ) in the pool.
[tex]0 = -900*( 70 ) + V_o\\\\V_o = 63,000 L[/tex]
We can now completely express the relationship between the amount of volume ( V ) remaining in the pool at time ( t ) as follows:
[tex]V ( t ) = 63,000 - 900*t[/tex]
We can use the above relation to determine the amount of volume left after t = 62 minutes as follows:
[tex]V ( 62 ) = 63,000 - 900*(62 )\\\\V ( 62 ) = 63,000 - 55,800\\\\V ( 62 ) = 7,200 L[/tex]
For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding?
a. The finding is significant at both α = 0.05 and α = 0.01.
b. The finding is significant at α = 0.05 but not at α = 0.01.
c. The finding is significant at α = 0.01 but not at α = 0.05.
d. The finding is not significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p-hat.
Answer:
B
Step-by-step explanation:
The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25
While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel
By using this, we get the probability P value of the z score 2.25 to be 0.012224
Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha
If P ≤ alpha, we reject the null hypothesis H0
At alpha = 0.05, p value is lesser , we reject the null hypothesis.
At alpha P 0.01, p value is greater so we accept null hypothesis
This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)
the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.
Calculation of the probability value:Since the z test statistic is found to be 2.25.
Now the P value of the z score 2.25 to be 0.012224
In the case when P ≤ alpha, we reject the null hypothesis H0
Now
At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.
At alpha P 0.01, p value is more so we accept null hypothesis
Therefore, the option b is correct.
Learn more about hypothesis here: https://brainly.com/question/18831983
What are the measures of angles M and N?
mM = 61° and mN = 113
mM = 67 and mN= 119
mM = 113 and mN = 61
mM = 119 and mN = 67
Answer:
mM = 113 and mN = 61
Step-by-step explanation:
In a Cyclic quadrilateral, the rule states that:
The sum opposite interior angles is equal to 180°
In the above diagram, we have cyclic quadrilateral KLMN
According to the rule stated above:
Angle K is Opposite to Angle M
So, Angle K + Angle M = 180°
Angle K = 67°
67° + Angle M = 180°
Angle M = 180° - 67°
Angle M = 113°
Angle L is Opposite to Angle N
so Angle L + Angle N = 180°
Angle L is given as = 119°
119° + Angle N = 180°
Angle N = 180° - 119°
Angle N = 61°
Therefore, Angle M = 113° and Angle N = 61°
Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation
Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Step-by-step explanation:
There are three measures of the center: 1) Mean 2) Median 3) Mode
Mean : Average value of the data
Mode = The most repeated value.
Median is the middlemost value in a well-ordered data.
It measures the center of the data.
Hence, the completed statement would be:
The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Answer:
First ____ is median
Second ____ is center
Step-by-step explanation:
The median is the middle value of a set of numbers, and is found in the center.
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)? StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction StartFraction (6) Over 2 (6) + 1 EndFraction StartFraction 36 minus 1 Over 26 + 1 EndFraction StartFraction (6) minus 1 Over (6) + 1 EndFraction
Answer:
[tex]\dfrac{3(6)-1}{2(6)+1}[/tex]
Step-by-step explanation:
For ...
r(x) = 3x -1 s(x) = 2x +1The expression (r/s)(6) is ...
[tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]
Answer:
A
Step-by-step explanation:
In the picture down below
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
2x^5-x^2+1=0
can you help me ?
slove it in details
thanks
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = 7}[/tex]
Move 1 to the left side of the equation by subtracting it from both sides.
[tex]\sqrt{2x -5 - 2 - 1 = 0 }[/tex]
Subtract 1 from -2.
[tex]\sqrt{2x -5 - 3 = 0 }[/tex]
Add 3 to both sides of the equation.
[tex]\sqrt{2x - 5 = 3}[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{2x - 5^3 = 3^2}[/tex]
Simplify each side of the equation.
Multiply the exponents in [tex](( 2x - 5) ^\frac{1}{2})^2[/tex] .
Apply the power rule and multiply exponents, [tex](a^m)^n = a^mn[/tex]
[tex](2x -5)^\frac{1}{2}.2 = 3^2[/tex]
Cancel the common factor of 2.
[tex](2x - 5)^1 = 3^2[/tex]
Simplify.
[tex]2x - 5 = 3^2[/tex]
Raise 3 to the power of 2.
[tex]2x - 5 = 9[/tex]
Solve for x
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
[tex]2x = 9 + 5[/tex]
Add 9 and 5.
[tex]2x = 14[/tex]
Divide each term by 2 and simplify.
Divide each term in 2x = 14 by 2.
[tex]\frac{2x}{2} = \frac{14}{2}[/tex]
Cancel the common factor of 2.
[tex]x = \frac{14}{2}[/tex]
Divide 14 by 2.
[tex]x = 7[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Answer:
root of f(x) = -0.7419124700395855 to about 16 figures
Step-by-step explanation:
given
f(x) = 2x^5-x^2+1 = 0
The polynomial is prime, so cannot solve by factoring.
Since it is a 5th degree polynomial, it has at least one real root.
Graphing helps locate where roots are, if more than one.
(refer to first graph)
So there is a real root between -1 and 0.
We will use numerical methods to find the root to a good degree of accuracy. The technique applies to any univariable function which is differentiable and continuous near the roots. This requirement is true for all polynomials.
However, we must know approximately where the root is, usually found by graphing.
The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.
Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.
The formula is
x1 = x0 - f(x0) / f'(x0), where
x1 = new approximation
x0 = initial (or previous) approximation
f(x0) = value of function when x=x0
f'(x0) = value of derivative of function when x=x0
For the given function
f(x) = 2x^5-x^2+1 = 0
f'(x) = 10x^4-2x = 2x(5x^3-1)
From the graph of f(x), we can take an initial approximation as
x0 = -1
x1 = -1 - (-2)/12 = -5/6
Repeat using x0=-5/6
x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))
= 0.7565596512088784
Repeat again, multiple times
x1 = -0.7423377914518363
x1 = -0.7419128371988212
x1 = -0.7419124700398593
x1 = -0.7419124700395855
x1 = -0.7419124700395855
So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures
Note that the accuracy of the iterations approximately doubles every time.
I NEED HELP PLZ Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
19
Step-by-step explanation:
Please answer it now in two minutes
Answer:
m<x = 60
Step-by-step explanation:
This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.
ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y
Answer:
[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]
Step-by-step explanation:
Apply these rules to solve:
• Angles on a straight line add up to 180 degrees.
• Angles in a triangle add up to 180 degrees.
• Opposite angles in a parallelogram are equal.
• Angles in a quadrilateral add up to 360 degrees.
what does 30b/6b equal? (30b divided by 6b)
Answer:
5
Step-by-step explanation:
Given
[tex]\frac{30b}{6b}[/tex]
Cancel the b on the numerator/ denominator.
Also the 30 and 6 can both be cancelled by 6 , thus
[tex]\frac{30b}{6b}[/tex] = [tex]\frac{30}{6}[/tex] = 5
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{30b}{6b}[/tex]
[tex]\sf Simplify[/tex]
[tex]\displaystyle \frac{30}{6} \times \frac{b}{b}[/tex]
[tex]5 \times 1[/tex]
[tex]=5[/tex]
Determine the settlement set of the following trigonometric equations! cos (x - 1/3π) = cos 1/2π, 0 ≤ x ≤ 2π
cos (x - π/3) = cos (π/2)
Then we need x - π/3 = π/2
Solving the equation:
x - π/3 = π/2
x = π/2 + π/3
x = 5π/6
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
Hey loves!!! This is my last question(for now).Please help.
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
The probability that two independent events both occur is the sum of the probabilities of each independent event. 4. When choosing a card randomly from a deck of cards, choosing a 5 or a spade are not
Answer:
(i) False
(ii) Selecting a 5 or a spade are not independent.
Step-by-step explanation:
(i)
Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.
If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]
Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.
Then for events A and B: [tex]P(A\cap B)=0[/tex]
Thus, the statement is False.
(ii)
In a standard deck of 52 cards there are:
Spades = 13
Diamond = 13
Heart = 13
Clubs = 13
And each of these 13 cards are:
K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A
If a card labelled as 5 is selected then it could also be a Spade.
And if a spade is selected then the card could be labelled as 5.
So, selecting a 5 or a spade are not independent.