The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Anthony reads 1/2 chapter of his science book each night.
He has 4 chapters left to read.
\(\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}\)
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Describe the long run behavior of f(p)=(p+1)^3(p+4)^3(p-1)
Answer:
Step-by-step explanation:
The long-run behavior of a function can be determined by examining its asymptotes and the behavior of the function near these asymptotes.
For the function f(p)=(p+1)^3(p+4)^3(p-1), there are three points to consider as possible asymptotes: p = -1, p = -4, and p = 1.
At p = -1, the factor (p-1) is equal to zero, so the function has a vertical asymptote there. This means that as p approaches -1 from either side, the function will approach infinity.
At p = -4, the factor (p+4)^3 is equal to zero, so the function also has a vertical asymptote there. Similarly, as p approaches -4 from either side, the function will approach infinity.
At p = 1, the factor (p+1)^3 is equal to zero, so the function has another vertical asymptote there. In this case, as p approaches 1 from either side, the function will approach negative infinity.
So, the long-run behavior of the function can be described as follows:
The function approaches infinity as p approaches -1 or -4 from either side.
The function approaches negative infinity as p approaches 1 from either side.
Therefore, the long-run behavior of f(p)=(p+1)^3(p+4)^3(p-1) is characterized by three vertical asymptotes at p = -1, p = -4, and p = 1.
Answer:
\(\text{As } p \to -\infty, f(p) \to -\infty\\\\\text{As } p \to \infty, f(p) \to \infty\)
====================================================
Explanation:
Each factor is a cubic of degree 3.
The degree of the entire polynomial is 3+3+3 = 9.
Since the degree is odd and the leading coefficient is positive, this means the graph falls to the left and rises to the right.
"falls to the left" means \(\text{As } p \to -\infty, f(p) \to -\infty\)
"rises to the right" means \(\text{As } p \to \infty, f(p) \to \infty\)
This is verified using a graphing tool like Desmos as shown in the screenshot below. I'm using x in place of p.
Look at this square: 8 m 8 m If the side lengths are halved, then which of the following statements about its area will be true? The new area will be 1 of the old area. 4 The new area will be 1 of the old area. 2 The new area will be 1 of the old area. end The new area will be 16 times the old area.
Answer:The solution is in the attached filefile.Ifilefile.If you still don't understand,I'm ready to explain more
Step-by-step explanation:
Find the absolute value and solve the problem
|-23| + |-15|
Answer:
38
Step-by-step explanation:
|-23| + |-15|
First find the absolute values, which are the non negative values
23 +15
Then add
38
A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.
Answer:
5832
Step-by-step explanation:
5 = v + 30
help please ill give brainlyest thing
Answer:
V= -25
Step-by-step explanation:
5 = V+30
-30 - 30
----------------------
-25 = V
so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel
Hope this helped u sorry if incorrect and welcome to Brainly
A fairest will can accommodate 85 people in 20 mins how many people can ride in 3 hours what the rate per hour how
if AB = 3, AD= 5, andDE= 6, what is the length of BC?
Answer:
D. 3.6
Step-by-step explanation:
=> Taking proportionality of the similar sides to find BC
\(\frac{AB}{AD}=\frac{BC}{DE}\)
\(\frac{3}{5} = \frac{BC}{6}\)
Multiplying 6 to both sides
\(BC = 0.6 * 6\)
BC = 3.6
Find the total surface area
Answer:
585
Step-by-step explanation:
Explanation in picture below.
This table shows the change in temperature x hours after sunset.
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
Slope y-intercept
Hours After Sunset, x Temperature, y
0 75
2 66
4 57
6 48
8 39
10 30
Refer to the attachment
Answer: slope: -9/2 y intercept: 75
Step-by-step explanation: I took the k12 test :)
Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. he reported his data in the following list.
13, 0 , 14 , 36, 18, 9
Find the mean absolute deviation (mad) of the data set. ___ minutes
The mean absolute deviation (MAD) of the data set is equal to 180.625.
The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.
Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)
x bar =average value of the given data set
n= total number of data set
xi = data value in a given set
According to the question,
x bar = sum of all the data set / total number of the data set
x bar = 2052/16 = 128.25
Substitute the value in the formula, we have
Mean absolute deviation = 2890/16 = 180.625
Hence, the Mean absolute deviation of the data set is equal to 180.625.
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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5
The term Mean absolute deviation in math is defined as the average distance of each observation of data set and the mean of the data set.
Here we have given the following data.
=> 13, 0 , 14 , 36, 18, 9
Then the mean of the data is calculated as,
=> (13 + 0 + 14 + 36 + 18 + 9)/6
=> 90/6
=> 15
Now, we have to the Substitute the value in the formula, we have
And then the Mean absolute deviation is calculated as,
=> (90 + 15)/6
=> 105/6
=> 17.5
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the length and width of a rectangle whose length is 9 centimeters more than its width
Answer:
Length W+9
Width W
Step-by-step explanation:
if cos ∅=sin 46° find ∅
Answer:
∅ = 44°
Step-by-step explanation:
cos∅ = sin46°
∅ = (90 - 46)°
∅ = 44°
Hope this helps
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $39,000 and $54,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (Round your answers up to the nearest whole number.) What is the planning value for the population standard deviation
Answer:
The planning value for the population standard deviation is $3750.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
95% confidence interval between $39,000 and $54,000.
This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So
\(4\sigma = 54000 - 39000\)
\(4\sigma = 15000\)
\(\sigma = \frac{15000}{4}\)
\(\sigma = 3750\)
The planning value for the population standard deviation is $3750.
Can somebody plz help!!
Marlena has a bag of coins the bag contains 8 quarters 10 dimes 4 nickels and 2 pennies she will randomly select a coin from the bag what is the probability that marlena will select a nickel?
A 1/12
B 1/3
C 1/6
D 1/5
Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help
Here using the correct order of operations that is PEMDAS, we get the value to be 13.
Define PEMDAS?PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.
The letters stand for:
P stands for parentheses.
Exponents are shown as E.
D stands for division.
The letter M stands for multiplication.
A stand for addition.
S stands for subtraction.
Now in the given question,
15 - (4-3)2
First the parentheses
15 - (1)2
Next is exponents.
15 - 2
At last, after subtracting, we get:
13
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If you can complete about 13 sockets in 4 minutes, how many sockets can you complete
in 24 minutes?
Type a response
Answer:
78
Step-by-step explanation:
13 time 6 equals 78
you get 6 because 4 fits 6 times into 24
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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WILL GIVE BRAINLIEST
Answer:
OK where is the qûestion
Describe the rate of change for the function f (x)=\(\sqrt{x}\)
The rate of change is \(\frac{1}{2\sqrt{x} }\)
What is rate of change ?The link between one quantity changing in respect to another is given by the rate of change formula.can be used to calculate the rate of change from y coordinates to x coordinates (x2 - x1 ). The rate of change m for a linear function is written as y=mx+b in the slope-intercept form for a line, whereas the rate of change for a function is written as (f(b)-f(a))/b-a. It is said that the rate at which one quantity changes in relation to another is known as the rate of change function. The amount of change in one item is simply divided by the comparable amount of change in another when calculating the rate of change.
Given that : The function f (x)=\(\sqrt{x}\)
f (x)=\(\sqrt{x}\)
\(f^{'} x = \frac{1}{2\sqrt{x} }\)
The rate of change is \(\frac{1}{2\sqrt{x} }\)
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Name 2 alternate exterior angles
Answer: Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.
Step-by-step explanation:
8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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valuate the summation for the indicated value of the variable. 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3
The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.
What is Expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.
To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:
1(1!)+2(2!) +3(3!) +4(4!) +3(3!)
= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)
= 1 + 4 + 18 + 96 + 18
= 137
Therefore, the value of the summation when m = 3 is 137.
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Jermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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y varies directly with x. When x is 20, y is 8. Find y when x= 15.
y=
type your answer...
Answer:
The value of y=6
Step-by-step explanation:
Given that y varies directly with x
Using the formula
y ∝ x
y=kx
Where k is the constant of proportionality
In order to find 'k' use the given condition
y=8 when x=20
y=kx
k=y/x
= 8/20
= 2/5
Thus, the equation to find 'y' is
y=2/5x
when x=15 then
y=2/5(15)
= 6
Thus, the value of y=6
300 feet above sea level??
Answer:
300
Step-by-step explanation:
if it is 300 feet ABOVE sea level, then it is a positive answer.
you would want to look for the words 'above' or 'below' if it is talking about sea level.
Ann pays $1,340 in bills each month. Her monthly income is $1,720. What is Ann's disposable income?
Answer:
$380
Step-by-step explanation:
1720-1340=380
Hope this helps
a jewllery shop is having a sale
The original price of the bracelet was £1400.
What do you mean by Percentage ?Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.
We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:
original price x (100% - 70%) = sale price
Simplifying the percentage reduction:
original price x 30% = sale price
Substituting the given sale price (£420):
original price x 30% = £420
To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):
original price = sale price / 30% = £420 / 30% = £1400
Therefore, the original price of the bracelet was £1400.
Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
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Math question, need help
In general, if we have \(x^a=x^b,\) then \(a=b.\) Thus, the first answer choice is correct.
Answer:
\(\boxed{\red{2x - 1 = 5x - 14}}\)
First answer is correct.
Step-by-step explanation:
we know that,
\( {x}^{a} = {x}^{b} \)
\(a = b\)
So, according to that,
\( {5}^{(2x - 1)} = {5}^{(5x - 14)} \)
Therefore,
\(2x - 1 = 5x - 14\)