Johnny found a sick abandoned kitten in his yard. It was very malnourished and he decided to nurse it back to health. He started feeding the kitten enough food to help it gain weight. On average the kitten was gaining 4 ounces per day. After 6 days in Johnny's care, the cat weighed 73 ounces. Determine how many days until the kitten will weighs 105 ounces.
Answer:9 days
Step-by-step explanation:A lot of division is required, but because 8.75 probably isn't an answer, I rounded up to 9.
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15 points
Which are equations? Select all that apply. 12 = three-fourths x 3.1 + x – 9 x – 4.8 = 9 One-half x minus 2 x + 3 x – 3.1x = 14.7 + 12
The examples of equations are given as follows:
12 = 3/4x.x – 4.8 = 9.x – 3.1x = 14.7 + 12What are equations?In mathematics, an equation is a statement that asserts the equality of two expressions. Equations typically involve one or more unknowns, which are typically represented by variables, and the goal is often to solve for the values of the unknowns that satisfy the equation.
Hence the statements that represent equations are the ones in which the equality symbol given by = is present.
Missing InformationThe possible options are given as follows:
12 = 3/4x.3.1 + x – 9x – 4.8 = 9.1/2x - 2x + 3x – 3.1x = 14.7 + 12.More can be learned about equations at https://brainly.com/question/27887972
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There are 45 cards in a card game deck. How many cards in 4 decks?
Answer:
180 cards
Step-by-step explanation:
45x 4= 180
A right rectangular prism (with square base) is sliced such that the plane cuts in a direction parallel to the base, what is the resulting cross section?
When a right rectangular prism with a square base is sliced in a direction parallel to the base, the resulting cross section is a square.
The parallel plane will intersect all the edges of the square base at the same distance from the top face of the prism, creating a new square.
The size of the resulting square will depend on the distance between the plane and the top face of the prism. If the plane is closer to the top face, the resulting square will be larger. If the plane is further away, the resulting square will be smaller.
It is important to note that if the plane is not parallel to the base, the resulting cross section will be a rectangle. This is because the plane will intersect the edges of the base at different distances from the top face of the prism, creating a new rectangle.
Understanding the resulting cross section of a sliced right rectangular prism can be useful in real-world applications, such as in architecture and engineering, where precise measurements and cutting are necessary for construction projects.
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Discuss the difference between r and p. Choose the correct answers below. r represents the p represents the sample correlation coefficient thing critical value for the correlation coefficient. population correlation coefficient. Click to select your answer(s) 1 - 35 of 35 Type here to search o te Discuss the difference between r and p. Choose the correct answers below. r represents the p represents the critical value for the correlation coefficient. population correlation coefficient. sample correlation coefficient. Click to select your answers) 1.35 of 35
The difference between r and p. is that r represents the sample correlation coefficient while p represents the p-value
What is the sample correlation coefficient?Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.
p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.
A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.
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What will be the answer in the finish box
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
8. u.s states a state is selcted at random from the 50 states of the united states. what is the probabbilty that it is one of the six mew england states?
10 % is the probabbilty that it is one of the six mew england states.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Number of states that touch the Pacific Ocean = N(P) = 5
Total Number of States = (Sample Space)= N(s) = 50
Number of Event/Draw = 1
Therefore;
Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %
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the scores for a reference population on a intelligence scale for kids company are approximately normally distributed with a mean of 120 and a standard deviation of 20. what is the interquartile range of this company scores for the reference population?
Therefore, the interquartile range of the company scores for the reference population is approximately 26.96.
To find the interquartile range (IQR) of the intelligence scores for the reference population, we need to calculate the difference between the third quartile (Q3) and the first quartile (Q1).
Since the scores are normally distributed with a mean of 120 and a standard deviation of 20, we can use the properties of the normal distribution to determine the quartiles.
The first quartile, Q1, corresponds to the 25th percentile, which is located at z = -0.674. We can calculate the value of Q1 as:
Q1 = mean + z * standard deviation = 120 + (-0.674) * 20 = 120 - 13.48 = 106.52
Similarly, the third quartile, Q3, corresponds to the 75th percentile, which is located at z = 0.674. We can calculate the value of Q3 as:
Q3 = mean + z * standard deviation = 120 + (0.674) * 20 = 120 + 13.48 = 133.48
Finally, we can calculate the interquartile range (IQR) as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 133.48 - 106.52 = 26.96
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It takes 3 people 4 hours to paint a wall.
Assume that all people paint at the same rate.
a) How long would it take one of these people to paint the same wall?
b) How long would it take 5 people to paint the same wall?
Give your answer in hours and minutes.
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Answer:
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Answer:
1 hour and 20 minutes or 1:20
Step-by-step explanation:
3 people=4 hours
Divide by 3.
1 person=4/3 or 1 1/3 hours
There are 60 minutes in 1 hour. Multiply 1/3 by 60.
(1/3)*60=60/3=20
1/3 of an hour is 20 minutes.
It would take 1 person 1 hour and 20 minutes to paint the wall.
Answer:12 hours
Step-by-step explanation:
3=4 hours
1= 3 times slower.
1= take longer
4 times 3=12
f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answer:
Step-by-step explanation:
what is the answer to x2 = 121.
Answer:
11 if you mean x^2
Step-by-step explanation:
Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:
The square root of x^2 is x
The square root of 121 is 11
So the asnwer is x = 11
Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.
However, you must set the equation equal to 0 first.
So our first step is to subtract 121 from both sides to get x² - 121 = 0.
Next, factor the left side to get (x + 11)(x - 11) = 0
So either x + 11 = 0 or x - 11 = 0.
Solving each equation from here, we find that x = -11 or x = 11.
So our answer is not just 11, it's {11, -11}.
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0. ] f(x) = ln x, a = 9
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
\(f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }\)
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.
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Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
\(f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }\)
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Following the pattern, we can see that for \(f^{n}(x)\),
\(f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} } \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}\)
This applies for n ≥ 1, Expressing f(x) in summation, we have
\(\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}\)
Combining ln2 with the rest of series, we have
\(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
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Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance
Answer:
students' ratings of their professors' performance on a five-point scale ranging from poor to excellent
Step-by-step explanation:
There are four type of scales in mathematics. They include:
1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot
2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance
3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.
Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.
4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
Hoverboard - $125
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees. What is the height of the pole? 12 ft 12 StartRoot 3 EndRoot ft 18 ft 18 StartRoot 2 EndRoot ft
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
B. 12\sqrt{3} ft
Step-by-step explanation:
Write each number in standard form.
The number 8*1000+4*10*2*1/10+3*1/100+5*1/1000+6*1/10000 has its standard form give mathematically as
8 × 10^0, 1 × 10^3, 4× 10^0, 1*10^1, 9 × 10^0, 2 × 10^0, 1*10^{-1}, 3 × 10^0, 1*10^{-2}, 5 × 10^0, 1*10^{-3}, 6 × 10^0, 1*10^{-5} respectively.
What is the standard form of each number?
Generally, the standard form of each number is
8=8 × 10^0
1000=1 × 10^3
4= 4× 10^0
10=1*10^1
9=9 × 10^0
2= 2 × 10^0
1/10= 1*10^{-1}
3=3 × 10^0
1/100=1*10^{-2}
5=5 × 10^0
1/1000=1*10^{-3}
6=6 × 10^0
1/10000=1*10^{-5}
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english 2 hhhhhhhheeeelllpppp
The correct answer is C.
Hope this helps !! :)
Can someone help me on this i just need surface area thanks :)
The total surface area of the given solid is; 3822 ft²
How to find the surface area?The surface area of a solid simply means the sum of the areas of a given solid.
From the given solid, we can see that it reflects a trapezium and rectangle side.
Thus;
Area of 2 trapeziums = 2[¹/₂(43 + 21)*33]
= 1782 ft²
Area of 2 side rectangles = 2(36 * 15)
= 1080 ft²
Area of bottom face = 43 * 15 = 645 ft²
Area of top face = 21 * 15 = 315 ft²
Total surface area = 1782 ft² + 1080 ft² + 645 ft² + 315 ft²
= 3822 ft²
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There are 25 children in Class 2A and 20% of them wear glasses. How many wear glasses?
Which is the better buy: 12 cans of soda for $9 or 4 cans for $3?
And, Why?
Answer:
12 for 9$
Step-by-step explanation:
Because you get more cans.
Sam has a party with snacks. One bowl of snacks has a mixture of fish crackers. There are 15 pretzels, 3 orange, 5 yellow, and 7 green fish crackers in the bowl.
What percent of the fish crackers are yellow?
Explanation:
Ignore the 15 pretzels. We're only focusing on the fish crackers.
3 orange + 5 yellow + 7 green = 15 total fish crackers
Of that total, 5 are yellow.
So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.
an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and photographers. what is the probability that the artist chosen will be a painter or a 5 photographer? write your answer as a fraction.
The probability that the artist chosen will be a painter or a photographer is 3/4
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
To solve this exercise the formula and the procedure that we have to use for probability is:
probability= (achieving success / possible outcomes)
Achieving success = 7 painters + 5 photographer = 12
Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16
Applying the formula to calculate the probability we get:
probability= (achieving success / possible outcomes)
probability= 12/16
Simplifying:
probability= 3/4
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Find the median of the following frequency distribution
Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
Show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)]
δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ
By using Dirac delta function, δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.
Here's how to show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)]
To show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)],
we can use the definition of Dirac delta function.
Dirac delta function is defined as follows:∫δ(x)dx=1and 0 if x≠0
In order to solve the given expression, we have to take the integral of both sides from negative infinity to infinity, which is given below:∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dx
To compute the left-hand side, we use a substitution u=x^2-a^2 du=2xdxWhen x=-a, u=a^2-a^2=0 and when x=a, u=a^2-a^2=0.
Therefore,-∞∫∞δ(x^2-a^2)dx=-∞∫∞δ(u)1/2adx=1/2a
Similarly, the right-hand side becomes:∫1/2a[δ(x-a)+ δ(x+a)]dx=1/2a∫δ(x-a)dx +1/2a∫δ(x+a)dx=1/2a + 1/2a=1/2a
Therefore,∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dxHence, δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)].
Next, we can show that δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ as follows:We know that cosθ = cosθ' which implies θ=θ'+2nπ or θ=-θ'-2nπ.
Therefore, c0sθ-cosθ'=c0s(θ'-2nπ)-cosθ'=c0sθ'-cosθ' = sinθ'c0sθ-sinθ'cosθ'.
We can use the following identity to simplify the above expression:c0sA-B= c0sAcosB-sinAsinB
Therefore,c0sθ-cosθ' =sinθ'c0sθ-sinθ'cosθ'=sinθ'[c0sθ-sinθ'cosθ']/sinθ' =δ(θ-θ')/sinθ'
Hence,δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.
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Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
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Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
Solve for x if 523x = 523.
please
Answer:
x = 1
Step-by-step explanation:
523x = 523
Divide each side by 523 to get the x alone
523/523 = 1
Answer:
x=1
Step-by-step explanation:
To get x by itself you need to divide 523 by the other side of the equal sign so divide 523 by 523 which is 1.
find the following for path a: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish. in the figure, various lines represent paths taken by different people walking in a city. all blocks are 120 m on a side.
For path A, the total distance traveled is 480 meters. The magnitude of displacement from start to finish is 240 meters, and the direction of the displacement is southeast.
To determine the total distance traveled along path A, we add up the lengths of all the individual segments. Path A consists of two horizontal segments followed by two vertical segments, each of which is 120 meters long. the total distance is 2 * 120 + 2 * 120 = 480 meters.
To calculate the magnitude of the displacement, we consider the straight-line distance from the starting point to the ending point. In this case, the displacement is equal to the length of the hypotenuse of a right triangle formed by the horizontal and vertical segments of path A. Using the Pythagorean theorem, we find the displacement to be sqrt((120)^2 + (120)^2) ≈ 169.7 meters.
The direction of the displacement can be determined by finding the angle between the displacement vector and the positive x-axis. In this case, the angle can be determined using trigonometry as arctan(120/120) ≈ 45 degrees. Since the displacement is in the southeast direction, the direction can be stated as 45 degrees southeast.
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Factor -y^2+3y+4 please hurry
Answer:
Step-by-step explanation:
1 . remove the negative by factoring out that first:
-(y^2-3y-4).
2 . Then try to find a common pair. In this case, its going to be -4 and 1.
-(y+1)(y-4).
3 . Lastly, bring back the negative by factoring it into one of the equations.
(1-y)(y-4).
Answer:
Props to the guy above me for taking the time to write all that but like if you dont want to read that whole book, here is the answer (1-y)(y-4).
Step-by-step explanation:
I did the test
Hope this helps :)
PLEASE HELP ON TIME LIMIT !!!!Solve the system of equations. Be sure to check your work. Complete the ordered pair to show your answer
Y=2/3x+5
y = 1/2x-2
Answer:( , )
Answer:(3,9)
Step-by-step explanation: