The detail that adds tension to the rising action of the story is when Mother Wolf tells Mowgli that some day he will have to kill Shere Khan.
This statement introduces a sense of conflict and foreshadows a significant challenge that Mowgli must face in the future. The idea of Mowgli, a young boy raised by wolves, confronting and defeating the powerful and dangerous Shere Khan adds suspense to the story, as readers anticipate the eventual showdown between these two characters.
Other details, such as Mowgli growing stronger and learning life lessons, or Mowgli forgetting his mother's advice, are relevant to his character development, but do not contribute as directly to the story's tension. Similarly, Mowgli considering himself a wolf and lacking the ability to speak like a human reflects his unique upbringing, but does not add tension in the same way as the impending confrontation with Shere Khan.
In conclusion, Mother Wolf's warning about Mowgli's future encounter with Shere Khan adds tension to the rising action of the story, as it sets up an exciting and challenging conflict for the protagonist to face, capturing the reader's interest and anticipation.
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can someone do #6 please
Answer:
ummmm j?:)
Step-by-step explanation:
(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number
(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.
Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.
Real numbers are formed by the union of rational and irrational numbers.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
�
=
28
(
1.47
)
�
y=28(1.47)
x
Growth
% increase
attempt 1 out of 3
Kayla Gearhart
Find Growth/Decay Percentage (Level 1)
Feb 24, 7:58:21 AM
Watch help video
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
The percentage rate of increase is approximately 47.14%.
What is exponential function?
A mathematical function that calculates the exponential growth or decay of a given collection of data is known as an exponential function.
The given exponential function is:
y = 28(1.47)ˣ
Since the base of the exponential term (1.47) is greater than 1, the function represents exponential growth. To find the percentage rate of increase, we can compare the value of y at some initial value of x (let's say x = 0) to the value of y at some later value of x (let's say x = 1). The percentage rate of increase is given by:
percentage rate of increase = [(y at x = 1) - (y at x = 0)] / (y at x = 0) * 100%
Plugging in the values of y at x = 0 and x = 1, we get:
y at x = 0: y = 28(1.47)⁰ = 28
y at x = 1: y = 28(1.47)¹= 41.16
Substituting these values into the formula, we get:
percentage rate of increase = (41.16 - 28) / 28 * 100% ≈ 47.14%
Therefore, the percentage rate of increase is approximately 47.14%.
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Chloe drives from her house to her grandma's house 64 miles away in an hour and 35 minutes. How fast was she driving on average? About 47 mph About 53 mph About 40 mph About 30 mph
Answer:
She was driving at 40.42 mph on averageStep-by-step explanation:
In this exercise, for us to find the speed that Chloe drives with we need to first convert the time she spent driving to hours completely since the time given is in hours and minute
Data
distance= 64 mile
time= 1hr 35min
to covert 1 hr 35 min to hours we have
= 1 + 35/60 (we are converting 35 min to hrs)
= 1+0.583
= 1.583
hence speed= 64/ 1.583
speed= 40.42 mph
She was driving at 40.42 mph on average
About 40 miles per hour
write an inequality relating −2e−nn2 to 121n2 for ≥ n≥1. (express numbers in exact form. use symbolic notation and fractions where needed.)
The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).
To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\) and 121/\(n^2\).
Since we want to express the numbers in exact form, we keep them as they are.
The inequality states that −2\(e^{(-n/n^2)}\) is less than or equal to 121/\(n^2\).
This means that the left-hand side is either less than or equal to the right-hand side.
The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\) is negative or zero.
On the other hand, 121/\(n^2\) is positive for n ≥ 1.
Therefore, the inequality −2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\) holds true for n ≥ 1.
The negative or zero value of −2\(e^{(-n/n^2)}\) ensures that it will be less than or equal to the positive value of 121/\(n^2\).
In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\) for n ≥ 1.
This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.
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A soda can is made out of aluminum. It is 12
centimeters tall and has a diameter of 7.5
centimeters. How many cubic units of soda
would be needed to fill the can?
(Use 3.14 as PI)
Answer:
529.875 \(cm^3\)
I don't know if they want it rounded or not, but rounded it would be 529.88 or 529.9
Step-by-step explanation:
Find the volume of the can (cylinder):
h = 12 cm
d = 7.5 cm
r = 1/2d = 3.75 cm
\(V=\pi r^2h\\\\= (3.14)(3.75)^2(12)\\\\= 529.875\)
A firm has sales of $4690, costs of $2490, interest paid of $164, and depreciation of $463. the tax rate is 30 percent. what is the cash coverage ratio?
13.41% is the cash coverage ratio.
What do we mean by cash coverage ratio?The cash coverage ratio is a calculation that assesses a company's ability to pay off its liabilities with cash that it already has. It is a method of determining a company's liquidity. Only cash and cash equivalents are included in the cash coverage ratio. It excludes things like accounts receivable and inventory.To find the cash coverage ratio:
The cash coverage ratio is calculated as follows:
But first, the EBIDTA Is:
EBIDTA = Revenue - Cost= 4,690 - 2,490= 2,200The Cash Coverage Ratio is now:
= (EBIDTA) ÷ Interest= 2,200 ÷ 164= 13.41Therefore, 13.41% is the cash coverage ratio.
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Which of these tables represents a function
W
a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.
1) Determine a. b if || a |= 6,|| b ||= 4 and the angle between the vectors 0 = π/3 ?
A) 24
B)-12
C) 12
D) None of the above
The dot product of vectors a and b || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.
The dot product of two vectors, we can use the formula:
a · b = ||a|| ||b|| cos(theta)
where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.
In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.
Substituting these values into the formula, we have:
a · b = 6 × 4 × cos(π/3)
To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:
a · b = 6 × 4 × 1/2
= 12
Therefore, the dot product of vectors a and b is 12.
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Given f(x)=x²+2 and g(x)=-x-1, find (fog)(5) (Enter the answer to the nearest tenth.)
The composition (fog)(5) is equal to 38. We substitute 5 into g(x) to find g(5) = -6. Then, substituting -6 into f(x), we get f(-6) = 38.
To find (fog)(5), we need to substitute the value of 5 into g(x) and then use the resulting expression as the input for f(x).
Evaluate g(5)
We substitute x = 5 into g(x) to find g(5):
g(5) = -(5) - 1
g(5) = -6
Evaluate f(g(5))
Now that we know g(5) is equal to -6, we substitute -6 into f(x):
f(g(5)) = f(-6)
f(-6) = (-6)² + 2
f(-6) = 36 + 2
f(-6) = 38
Simplify the result
The final step is to simplify the result to the nearest tenth. In this case, the value is already a whole number, so we don't need to make any further adjustments. Therefore, (fog)(5) = 38.
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you don’t even have to give the answer just please explain
Answer:
1/2
Step-by-step explanation:
remember that the formula for the slope of a line is
\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:
Point 1 : (-1,3) and Point 2 : (1,4)
Plug in your values:
\(m=\frac{4-3}{1-(-1)}\)
\(m=\frac{1}{2} \\\)
So the slope of this line is 1/2 !
Answer: The slope is \(\frac{1}{2}\).
Here is a visual explanation when you use a graph instead of ordered pairs:
Jennifer babysits for x hours a week after school at a job that pays $10 an hour. She has accepted a job that pays $15 an hour as a cashier at a supermarket working y hours a week. She will work both jobs. She is able to work no more than 20 hours a week. Jennifer wants to earn at least $225 a week, working at both jobs.
Answer:
Jennifer can work 6 hours in her babysitting gig and 6 hours on her cashier shift.
Step-by-step explanation:
Babysitting: Cashier:
y = 10x y = 15x
Table (Hours) Table (Hours)
1 : 10 1 : 15
2 : 20 2 : 30
3 : 30 3 : 45
4: 40 4 : 60
5 :50 5 : 75
6 : 60 6 : 90
7 : 70 7: 112
8 : 80 8 : 120
9 : 90 9 : 135
10 : 100 10 : 150
11 : 110 11 : 165
12 : 120 12 : 180
13 : 130 13 : 225
14 : 140 14 : 210
15 : 150 15 : 225
16 : 160 16 : 240
17 : 170 17 : 255
18 : 180 18 : 270
19 : 190 19 : 285
20 :200 20 : 300
Hope that helps!
Surface area=
Please help me asap thanks
Answer:
100π
Step-by-step explanation:
The formula for the surface area of a sphere is SA = 4πr^2, where r is the radius of the sphere and SA stands for surface area. We are given that the radius is 5, so if we plug this into the formula, we get that SA = 4π*(5)^2, or SA = 4 * 25 * π. If we solve it out, we get 100π. If the software wants you to let π be 3.14 and evaluate, you will get approximately 314. I hope this helps
4x+12+3x+7x(3+5)+6=90
solve for x
Answer:
4x+12+3x+7x(3+5)+6=90
Combine like terms.
4x+12+3x+56x+6=90
63x+18=90
63 x = 72
x = 72/63
x = 8/7
One angle of a parallelogram is 35? what are the measures of the three other angles?.
Answer:
35°145°145°
Step-by-step explanation:
parallelogram, two congruent sides and two congruent angles, therefore we have two angles of 35°, the sum of the internal angles is 360°, we remove 2 angles of 35° and we have the sum of the other two congruent angles, we divide by 2 and we have the single measure.
all of which translates into the expression below
(360 - 35 - 35) : 2 =
290 : 2 = 145°
so your answer is
35°
145°
145°
What is the value of logx?y3lodwhen given the following:Zlog(x) = 3log(y)=2log(z)= -1
Given the question
\(\log (\frac{x^2y^3}{z})\)To resolve this, we can follow the steps below
Step1: Apply the logarithm rule
\(\log (\frac{x^2y^3}{z})=\log x^2+\log y^3-\log z\)This will give=>
\(\log x^2+\log y^3-\log z=2\log x+3\log y-\log z\)Since we have been given that
\(\begin{gathered} \log x=3 \\ \log y=2 \\ \log z=-1 \end{gathered}\)Step2: Substitute the given values into the equation
\(2\log x+3\log y-\log z=2(3)+3(2)-(-1)\)=>
\(6+6+1=13\)Answer = 13
is the fraction 11/20 a repeting and termnating decimal?
Answer:
it is terminating
Step-by-step explanation:
Answer:
11/20 is a terminating decimal.
Step-by-step explanation:
1) Find the denominator of 11/20 in its lowest form.
The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.
11 ÷ 1 / 20 ÷ 1 = 11 / 20
2) Find the prime factors of the answer in Step 1.
The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:
2 x 2 x 5
3) Determine if 11/20 is terminating.
A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:
11/20 = terminating.
Hope this helps.
vector ⃗ has a magnitude of 13.1 and its direction is 50∘ counter‑clockwise from the - axis. what are the - and - components of the vector?
The x-component of the vector ⃗ is -9.98 and the y-component is 8.53.
We can find the x and y components of the vector ⃗ by using trigonometry. The magnitude of the vector is given as 13.1, and the direction of the vector is 50∘ counter-clockwise from the -axis. We can use the cosine and sine functions to find the x and y components, respectively.
cos(50∘) = -0.6428, sin(50∘) = 0.7660
x-component = magnitude x cos(50∘) = 13.1 x (-0.6428) = -9.98
y-component = magnitude x sin(50∘) = 13.1 x (0.7660) = 8.53
Therefore, the x-component of the vector ⃗ is -9.98, and the y-component is 8.53.
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The x-component of the vector is approximately 8.375 and the y-component is approximately 9.955.
To find the x- and y-components of the vector, we can use trigonometry.
Given that the magnitude of the vector is 13.1 and the direction is 50° counter-clockwise from the - axis, we can determine the x- and y-components as follows:
The x-component (horizontal component) can be found using the formula:
x = magnitude * cos(angle)
x = 13.1 * cos(50°)
x ≈ 8.375
The y-component (vertical component) can be found using the formula:
y = magnitude * sin(angle)
y = 13.1 * sin(50°)
y ≈ 9.955
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Adding and subtracting rational numbers
Answer:
\( - 2 \frac{4}{5} - 7 \frac{2}{3} = - (2 \frac{4}{5} + 7 \frac{2}{3} )\)
\( = - (2 \frac{12}{15} + 7 \frac{10}{15} )= - 9 \frac{22}{15} = - 10 \frac{7}{15} \)
Jaydie paid $10 for lunch.She has a 20% off coupon for
the meal. After the discount, she will pay a 6% tax.
what is the best-predicted linear regression for this correlation? assume that the criterion is the iq score and the predicted variable is the gpa.
The best-predicted linear regression for the correlation between IQ scores and GPA would involve fitting a line to the data points that minimizes the sum of squared errors between the predicted and actual values.
Linear regression is a statistical technique used to model the relationship between two variables. In this case, IQ score is the predictor or independent variable, and GPA is the response or dependent variable. The goal of linear regression is to find the best line that describes the relationship between these two variables.
To determine the best-fit line, we use a method called least squares regression, which minimizes the sum of the squared errors between the predicted and actual values. The equation for the best-fit line is Y = b0 + b1*X, where Y is the predicted value of GPA, X is the observed value of IQ score, b0 is the intercept or Y-intercept, and b1 is the slope of the line.
Once we have calculated the values of b0 and b1, we can use the equation to predict the GPA of a student based on their IQ score. The predicted GPA value will be the Y value on the line that corresponds to the X value of the student's IQ score.
It's important to note that linear regression assumes a linear relationship between the two variables and that the relationship is not influenced by any other factors. Additionally, it's important to consider the reliability and validity of the measures used to assess IQ score and GPA, as well as any potential confounding variables that may affect the relationship between the two variables.
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Select the correct answer.
Suppose the following function is graphed.
y = 8^5x +4
On the same grid, a new function is graphed. The new function is represented by the following equation.
y = -5^8x+8
Which of the following statements about these graphs is true?
The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
What is a graph?A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.
How to interpret the graph?Mathematically, the standard form of the equation of a straight line on a graph is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.The condition for perpendicularity.In Mathematics, the condition for perpendicularity of two (2) lines is as follows:
m₁ × m₂ = -1
8/5 × (-5/8) = -1
Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
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Complete Question:
Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?
A. The graphs intersect at (0,8).
B. The graph of the original function is perpendicular to the graph of the new function.
C. The graph of the original function is parallel to the graph of the new function.
D. The graphs intersect at (0,4).
30 decreased by 35%?
Answer:
19.5
Step-by-step explanation:
Please help with this question. Thank you.
Answer:
t = 4
Step-by-step explanation:
Substitute the variables with the information provided.
205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)
Simplify
205 = 100 + 72 + 5t + 28 + 25 - 40
20 = 5t
t = 4
Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = \(\frac{16}{3}\)
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
\(\frac{6}{6+12}\) = \(\frac{x}{16}\) , that is
\(\frac{6}{18}\) = \(\frac{x}{16}\) ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = \(\frac{96}{18}\) = \(\frac{16}{3}\)
a random sample of n equal to 64 scores is selected from a normally distributed population with mu equal to 77 and sigma equal to 21. what is the probability that the sample mean will be less than 79? hint: this is a z-score for a sample.
The probability of the sample mean being less than 79 is 77.64%
In order to solve the given problem we have to take the help of Standard error mean
SEM = ∑/√(n)
here,
∑ = population standard deviation
n = sample size
hence, the z-score can be calculated as
z = ( x' - μ)/σ/√(n)
here,
x' = sample mean
μ = population mean
σ = population standard deviation
n = sample size
adding the values into the formula
SEM = σ / √(n)
= 21/√64
= 2.625
z = (x' - μ)/SEM
= (79-77)/2.625
= 0.76
now, using standard distribution table we find that probability of a z-score is less than 0.77 then converting it into percentage
0.77 x 100
= 77%
The probability of the sample mean being less than 79 is 77.64%
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the rate of decay of a radioactive substance is proportional to the amount of substance present, if there were 12 grams present. now there are 8. how many are there now
After 2.10 years, there will be 8 grams of radioactive substance left.
The rate of decay of a radioactive substance is proportional to the amount of substance present.
Thus, we can conclude that the quantity of the radioactive substance present decreases exponentially over time.
A radioactive decay constant is defined as the fraction of the substance that decays in a unit of time, t.
According to the given statement, the rate of decay of a radioactive substance is proportional to the amount of substance present.
Suppose that the quantity of radioactive substance present initially is A0.
Then, the decay constant is represented by λ.
As the substance continues to decay, the remaining amount of the substance present after time t can be given by the exponential decay equation: A(t) = A0e-λt
where A(t) represents the amount of substance present after time t.
In this problem, we are given that 12 grams of the substance were initially present, and now there are 8 grams. Therefore, we need to find out the value of t using the given data.
For this, we can use the exponential decay equation: A(t) = A0e-λt
Let's assume that the amount of the substance present after time t is A(t) = 8 g, A0 = 12 g
Thus, the equation becomes 8 = 12e-λt
To find the value of λ, we can rearrange the equation and take the natural logarithm on both sides:
ln (8/12) = ln (e-λt)ln (8/12)
= -λt ln (e)ln (8/12)
= -λt λ = -ln (8/12)/t λ = ln (12/8)/t λ = 0.2877/t
Since we now know the value of λ, we can substitute the values of A0 and λ in the exponential decay equation to find the value of t.
A(t) = A0e-λtA(t) = 12e-0.2877/t
A(t) = 8 (Given)
Therefore, 8 = 12e-0.2877/t 0.6667 = e-0.2877/t
Taking natural logarithm on both sides, we get:
ln (0.6667) = ln (e-0.2877/t)ln (0.6667)
= -0.2877/t ln (e)ln (0.6667)
= -0.2877/t t
= -0.2877/ln (0.6667) t
= 2.10 years.
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Help me please i’ll give brainliest!
Jai earns $9.75 per hour. Jai works 3 hours one day and then works 7 hours the next day
Answer:
97.50
Step-by-step explanation:
9.75(3) + 9.75(7);
9.75(3+7); 97.50
Is 7/14 a rational number?
Answer:
yes
Step-by-step explanation:
it is a fraction
What conic section is represented by x^2 + 4xy + 4y^2 + 2x = 10?
Answer: 160
Step-by-step explanation:
12+37+78