The average rate of change of the function f(d) from d = 2 to d = 7 means that the radius of the algae specie increases by 0.1145 mm per day
The reasonable domain to plot the growth functionThe function is given as:
f(d) = 11(1.01)^d
The domain is the number of days, the function can take
From the question, we have:
f(d) = 11.79 ---- maximum range
So, we have:
11(1.01)^d = 11.79
Divide both sides by 11
(1.01)^d = 1.07
Take the logarithm of both sides
d * log(1.01) = log(1.07)
Divide both sides by log(1.01)
d = 7
Hence, the reasonable domain of the function is 0 ≤ d ≤ 7
What the y-intercept represents?We start by setting d to 0.
d = 0
So, we have:
f(0) = 11(1.01)^0
Evaluate
f(0) = 11
This means that the y-intercept implies that the initial radius of the algae specie is 11 mm
The average rate of change from d = 2 to d = 7Calculate f(2) and f(7)
f(2) = 11(1.01)^2 = 11.2211
f(7) = 11(1.01)^7 = 11.7935
The average rate is then calculated as:
Rate = (f(7) - f(2))/(7 - 2)
This gives
Rate = (11.7935 - 11.2211)/(7 - 2)
Evaluate
Rate = 0.1145
Hence, the average rate of change of the function f(d) from d = 2 to d = 7 is 0.1145 and it means that the radius of the algae specie increases by 0.1145 mm per day
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can someone please help me answer this question??? help me please due in 15 min!!!
Answer:
c. 69
Step-by-step explanation:
In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.
Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂
and Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂
What is the standard deviation?
When comparing a population mean to a sample mean, the standard error of the mean, or simply standard error, shows how dissimilar the two are likely to be. It informs you of the degree to which the sample mean would fluctuate if the research were to be repeated with fresh samples drawn from the same population.
Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂
Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂
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The complete question is -
In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.
what is the perimeter of the entire design
First full question is this: What is the perimeter of the entire design?
Cameron makes a quilt design using four congruent
triangles as shown below.
ooo
O 46 cm
O 64 cm
O 108 cm
O 147 cm
9 cm
14 cm.
ANSWER: B) 64
I am confused on how to do this.
xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you go?
Answer is 6.00+0.20-9.40
3.2
or
6.00-0.20-9.40
3.2
Answer:3.2
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
c po ang sagot jan parehas tayo
Dean wants to buy a scooter. He has a coupon for 20% off his purchase, and has already saved $50. If the scooter is $79, how much more money does Dean need to be able to purchase it?
what is the expression below equivalent to? PLEASE HELP
Answer:
2x To the 2 power + x -13 ... Thats the answer
Step-by-step explanation:
The following table shows the amount of chocolate, in pounds and the price paid. What is the maximum amount of chocolate you can buy with $72.00?
Answer:
16
Step-by-step explanation:
if 18 dollars will get your 4, 4 times 18 is 72 so 16 is your answer
suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?
Answer:
521
365 *10 = 3650
365/7 = 521.4
Step-by-step explanation:
The sum of two numbers is 544. One of the numbers is 300. What is the other number?
Answer:
244
Step-by-step explanation:
\(544 - 300 = \\ 244\)
huduko incorporated offers a number of computer services. one server handles its own web page. it receives requests for web pages at the rate of 79 per second. the standard deviation of these interarrival times is 0.02 second. what is the coefficient of variation of the interarrival times for this server?
Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.
What do you mean by Standard Deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
What is Coefficient of variation and formula to calculate it?The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.
Formula is given by:
\(CV = \frac {\sigma}{\mu}\)
\(\sigma = 0.02\)
Mean for the time of 0.02 sec is = 79 * 0.02
=1.58
CV= 0.02/1.58
=0.012
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Is the dilation an enlargement or a reduction base on the picture attached ?how can u tell ?
NEED HELP ASAP !
Answer:
Reduction
Step-by-step explanation:
Whenever you see a shape graphed where the points have ' after the letter, then that is the RESULT. So, the yellow parallelogram ABCD is the original, and the blue parallelogram A'B'C'D' is the result, which is obviously smaller than the original. So that means that it's a reduction.
I hope this made sense and helped! :)
Answer:
Step-by-step explanation:
The yellow rectangle is an enlargement of the blue one, and is a positive dilation. The blue rectangle is shrunken from the yellow one and is a negative dilation.
Please help ASAP!!!??
Answer:
\(\{-2,-1,1,2,4\}\)
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
\(\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}\)
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
\(y = \{-1,-2,2,1,4\}\)
Order from least to greatest"
\(y = \{-2,-1,1,2,4\}\)
Hence, the range are: \(\{-2,-1,1,2,4\}\)
Kathy has a job on a farm.
. She earns $3.20 every 15 minutes she picks
green peppers.
. She earns $3.00 every 20 minutes she picks
carrots.
She picked green peppers for 45 minutes and
then spent an hour picking carrots.
How much money did Kathy earned? (write
your answer in dollars. cents)
The distance between A (-4, 2) and B(4, 2) is.
6
8
4.
Answer:
8 units
Step-by-step explanation:
what does a padaung woman who uses brass rings to stretch her neck illustrate about deviance?
Answer:
The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).
From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.
In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.
Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.
i need someone to explain how to find the answer
Answer:
46 degrees
Step-by-step explanation:
Angles 3 and 7 are corresponding angles which also means that they are congruent. Since they are congruent, angle 7 is also 46 degrees.
Phil and Stacy create repeating patterns using shapes. Phil's rule is "oval, square," and Stacy's rule is "oval, square, circle, oval." If they both have 96 shapes in their pattern, which pattern has more ovals?
Using proportions, it is found that both patterns have the same number of ovals.
This question is solved by proportions, using rule of three.For Phil:
There are 96 shapes.1 of each two shapes is oval, hence:1 oval - 2 shapes
x oval - 96 shapes
Applying cross multiplication:
\(2x = 96\)
\(x = \frac{96}{2}\)
\(x = 48\)
For Stacy:
There are 96 shapes.2 of each two shapes are oval, hence:2 oval - 4 shapes
x oval - 96 shapes
Applying cross multiplication:
\(4x = 192\)
\(x = \frac{192}{4}\)
\(x = 48\)
Both patterns have the same number of ovals.
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what is the temperature after 1 minute? choose the t-coordinate of the fixed point to be equal to 1. what is the corresponding y-value?
The temperature after 1 minute is 5, the t-coordinate of the fixed point to be equal to 1 is f(t) = 2t + 3 and the corresponding y-value is 5.
In a two-dimensional coordinate system, such as the Cartesian coordinate system, each point is represented by an ordered pair (x,y) where x represents the horizontal position and y represents the vertical position.
The problem statement asks us to find the temperature after 1 minute, which means we need to find the y-coordinate of the point on the graph that corresponds to t=1. In other words, we need to evaluate the function f at t=1 to find the corresponding y-value.
If the function f(t) is given by f(t) = 2t + 3, then the point corresponding to t=1 would have coordinates (1, 5), since f(1) = 2(1) + 3 = 5. Therefore, the corresponding y-value would be 5, which represents the temperature after 1 minute.
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what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
36x + 31 = 535
A.
none of these
B.
1
C.
17
D.
12
Answer:
A
Step-by-step explanation:
36x = 535 - 31
36x = 504
36/36 x = 504/36
x = 14
\({ \green{ \boxed{ \red{ \sf{x = 14}}}}}\)
Step-by-step explanation:
\({ \purple{ \tt{36x + 31 = 535}}}\)
\({ \purple{ \tt36x = 535 - 31}}\)
\({ \purple{ \tt{36x = 504}}}\)
Divide both the sides by 36 then,
\({ \purple{ \tt{ \frac{ \cancel{36}}{ \cancel{36}}}}} = { \purple{ \tt{ \frac{ \cancel{504}} { \cancel{36}}}}}\)
\({ \red{ \boxed{ \green{ \sf{x = 14}}}}}\)
What is the measure of angle B?
60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.
a triangle undergoes a dilation with a scale factor of 9/5. the resulting triangle is _[blank]_ the original triangle.
The resulting triangle is 9/5 the original triangle.
How triangle dilated with scale factor?
The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).
According to question:Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 9/5,
Then changed triangle is A'B'C'
So, relation between them is A'B'C' = 9/5(ABC)
Thus, the resulting triangle is 9/5 multiple of triangle ABC.
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Light passes through a diffraction grating with 3550 lines/cm and forms a first-order maximum at an angle of 12.07°. At what angle will the second maximum appear?
Answer:The angle at which the first-order maximum appears can be calculated using the formula:
sin(θ) = mλ/d
where θ is the angle at which the maximum appears, m is the order of the maximum (in this case, m=1 for the first-order maximum), λ is the wavelength of the light, and d is the spacing between adjacent lines on the diffraction grating.
We can rearrange this formula to solve for d:
d = mλ/sin(θ)
For the first-order maximum:
d = (1)(λ)/(sin(12.07°))
Now, to find the angle at which the second maximum appears, we can use the same formula but with m=2:
sin(θ) = 2λ/d
Rearranging this formula to solve for θ:
θ = arcsin(2λ/d)
Substituting the values we have already calculated:
θ = arcsin(2λ/[(1)(λ)/(sin(12.07°))])
Simplifying:
θ = arcsin(2sin(12.07°))
θ ≈ 24.17°
Therefore, the second maximum will appear at an angle of approximately 24.17°.
Step-by-step explanation:
calculations:
1. We are given the number of lines per centimeter on the diffraction grating, which is 3550 lines/cm.
2.We are also given that the light forms a first-order maximum at an angle of 12.07°.
3.We can use the formula sin(θ) = mλ/d to find the spacing between adjacent lines on the diffraction grating. Rearranging this formula to solve for d, we get d = mλ/sin(θ).
4.Substituting the values m=1, λ (which we assume to be the wavelength of the light), and θ=12.07°, we can solve for d. We get d = (1)(λ)/(sin(12.07°)).
5.Next, we want to find the angle at which the second maximum appears. We can use the same formula, but with m=2: sin(θ) = 2λ/d.
6.Rearranging this formula to solve for θ, we get θ = arcsin(2λ/d).
7.Substituting the values we calculated for d and assuming the same wavelength of light, we can solve for the angle θ. We get θ = arcsin(2sin(12.07°)).
8.Finally, we evaluate this expression and get the answer: the second maximum will appear at an angle of approximately 24.17°.
Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
Interpret line plots with fraction addition and subtraction
The weights of 11 different babies are recorded on the line plot below. Each weight was rounded to the nearest
1
pound.
|||||
|||||
6 6
7
7층
8
8
9
9
What is the difference, in weight, between the two heaviest babies?
pounds
Your answer should be
a proper fraction, like 1/2 or 6/10
100
8
P100
10
To interpret this line plot with fraction addition and subtraction, we need to understand how to read the plot and how to perform the necessary calculations with fractions.
Looking at the line plot above, we can see that each horizontal line represents one pound, and each vertical line represents one baby's weight. The numbers on the vertical axis show the weights of the babies in pounds. For example, there are two babies that weigh 6 pounds, three babies that weigh 7 pounds, two babies that weigh 8 pounds, and so on. To find the difference in weight between the two heaviest babies, we need to first determine which babies are the heaviest. From the line plot, we can see that the two heaviest babies are the ones at the top of the plot, which both weigh 9 pounds. Converting the weight of the heaviest baby to a fraction with a denominator of 72 gives us 9/1 x 72/72 = 648/72. Converting the weight of the second heaviest baby to a fraction with a denominator of 72 gives us 8/1 x 72/72 = 576/72. Now that both weights are expressed as fractions with a common denominator, we can subtract them to find the difference: 648/72 - 576/72 = 72/72 = 1
Therefore, the difference in weight between the two heaviest babies is 1 pound, or 1/72 of a hundredweight (since there are 100 pounds in a hundredweight). The answer we were asked to provide is a proper fraction, so we can express this as 1/72. In summary, to interpret a line plot with fraction addition and subtraction, we need to understand how to read the plot to determine the weights of the babies, how to perform the necessary calculations with fractions, and how to express our answer as a proper fraction if required.
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If mYXZ = 62° and mVUW = (43 - 5x)°, what is the value of x?
the value of x is 3.
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angle of triangle = 180
mYXZ = 62°
mVUW = (43 - 5x)°
Here (43 - 5x)° + 62 =90
-5x = 90-(43+62)
-5x = 90-105
x = 15/5
x=3
Hence the value of x is 3.
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What is the equation of the line to get the tie fighter?
The equation of the line is y = 13/6x - 5
How to determine the equation of the line?From the question, we have the following parameters that can be used in our computation:
Points: (0, -5) and (6, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
This means that
c = -5
So, we have
y = mx - 5
Also, we have
(x, y) = (6, 8)
This means that
8 = m x 6 - 5
So, we have
6m = 13
This gives
m = 13/6
So, we have
y = 13/6x - 5
Hence, the equation is y = 13/6x - 5
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