I'm going to answer a slightly different question, which is what I think you were asking:
What two consecutive numbers does \(\sqrt{55}\) fall between?
To answer that question, find the closest perfect squares on either side of 55.
What is the closest perfect square less than 55?
What is the closest perfect square greater than 55?
Take the square root of both those numbers and those are the whole numbers \(\sqrt{55}\) falls between.
Sue makes bracelets. she uses 8 1/4 inches of chain to make one bracelet. how many bracelets can she make from a chain that is 49 1/2 inches long?
Sue can make 6 bracelets from a chain that is 49 1/2 inches long.
To determine the number of bracelets Sue can make from a chain that is 49 1/2 inches long, we divide the total length of the chain by the length required for each bracelet.
The length required for each bracelet is given as 8 1/4 inches. We can convert this mixed number to an improper fraction by multiplying the whole number (8) by the denominator (4) and adding the numerator (1), resulting in 33/4 inches.
To calculate the number of bracelets, we divide the total length of the chain (49 1/2 inches) by the length required for each bracelet (33/4 inches).
Using division of mixed numbers, we can convert the total length of the chain to an improper fraction by multiplying the whole number (49) by the denominator (2) and adding the numerator (1), resulting in 99/2 inches.
Now, we divide 99/2 by 33/4. To divide fractions, we multiply the dividend by the reciprocal of the divisor. Thus, 99/2 divided by 33/4 is equal to (99/2) * (4/33) = 6.
Therefore, Sue can make 6 bracelets from a chain that is 49 1/2 inches long.
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From his home, Zachary would have to walk 2 miles north to get to his friend Dustin's house and 5 miles east to get to his friend Ian's house. One day, Zachary walked from his home to Ian's house. Together, Ian and Zachary cut directly through the field that separated them from Dustin's house. When they finished playing at Dustin's, Zachary walked back home. In all, how far did Zachary walk? If necessary, round to the nearest tenth.
The total distance covered by Zachary is found using Pythagoras Theorem, which is 17.39 miles.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the total distance Zachary walked, we need to add up the distance from his home to Ian's house, the distance from Dustin's house back to his home, and the distance they walked through the field. We can use the Pythagorean theorem to find the distance they walked through the field, since they cut directly through it.
Let's call the distance they walked through the field d.
Then we have the equation -
d² = (5 miles)² + (2 miles)²
d² = 25 + 4
d² = 29
d ≈ 5.39 miles
So, Zachary walked a total distance of -
2 miles (from home to Dustin's) + 5 miles (from home to Ian's) + 5.39 miles (through the field) + 5 miles (from Dustin's back home) = 17.39 miles
Therefore, Zachary walked a total distance of approximately 17.39 miles.
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in 2000, india's population reached 1 billion, and it's projected to be 1.45 billion in 2025. use the function f(x)
a) The value of p₀=1
b) The population in the year 2020 is 1.3 billion.
c) The function f(x)=1.5 billion reaches India's population in the year 2030.
What is meant by a function?A function is a relationship between two or more inputs, each of which corresponds to exactly one output. A domain and a codomain or range are assigned to each function.
a) Given, The population of India after x years is f(x)=p₀(1.01355)ˣ⁻²⁰⁰⁰
Also in 2000, the population reached 1 billion.
That is when x=2000, f(x)=1
f(2000)=1
p₀(1.01355)ˣ⁻²⁰⁰⁰⁻²⁰⁰⁰=1
p₀×1=1
p₀=1
Hence p₀=1
b) Here the objective is we have to find the population in the year 2020
Then the value of f(x) when x=2020
Hence,
f(2020)=p₀(1.01355)ˣ⁻²⁰²⁰⁻²⁰²⁰
f(2020)=1(1.01355)²⁰
f(2020)=1.3
Therefore, the population in the year 2020 is 1.3 billion.
c) f(x)=1.5
p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5
1×p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5
p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5
ln(p₀(1.01355)ˣ⁻²⁰⁰⁰)=ln(1.5)
(x-2000)ln(1.01355)=ln(1.5)
x-2000=ln(1.5)/ln(1.01355)
x=(ln(1.5)/ln(1.01355))+2000
x=30.12+2000
x=2030.12
Hence in the year 2030, the population might reaches to 1.5 billion.
Therefore, f(x)=1.5 billion
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The complete question is:
In 2000 , India's population reached 1 billion, and its projected to be \( 1.45 \) billion in 2025 . Use the function \( f(x
Show transcribed data
In 2000 , India's population reached 1 billion, and it's projected to be
1.45
billion in 2025 . Use the function
f(x)=P0(1.01355)
x−2000
find the help find the following a) What is p₀
? billion b) Predict India's population in 2020 to the nearest tenth of a billion. billion c) Use the function to determine the year when India's population might reach
1.5
billion. (Round to the nearest year) Question 21 Out of pocket spending for healthcare in the United States increased between 2000 and 2008 . The function
f(x)=2572e
0.0359x
models the average annual expenditures per household, dollars, In this model,
x
represents the year,
x=0"
Arthur sits in the park reading a newspaper, then starts walking home at a constant pace. He stops for bagels, then walks the rest of the way home. What does the X axis represent. What does the y-axis represent?
Based on the information provided about Arthur, we have the following:
The x-axis of the graph would represent the amount of time that Arthur spends on his way home.The y-axis of the graph would represent the distance covered by Arthur from a reference position (home).What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate).
What is distance?Distance simply refers to the amount of ground that is covered or travelled by a physical object (body) over a particular period of time and speed, irrespective of the physical object's direction, starting point, or ending point.
In conclusion, the distance covered by a physical object (body) over a particular period of time can be plotted by using a position-time graph as shown in the image attached below.
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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:
Odds in favor = probability of event occurring / (1 - probability of event occurring)
In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:
Odds in favor = 0.56 / (1 - 0.56)
= 0.56 / 0.44
= 1.27
So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.
It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.
Step-by-step explanation:
The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11
If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
what percentage of survey respondents reported having colleagues who are rude or disrespectful? multiple choice 39% 53% 79% 90% 10%
According to the survey results, 53% of respondents reported having colleagues who are rude or disrespectful. This is a concerning finding, as workplace incivility can have negative effects on employee well-being, job satisfaction, and productivity.
It is important for organizations to address and prevent such behaviors through training, policies, and a culture of respect and accountability. It is also important for individuals to speak up and address rude or disrespectful behavior when it occurs, in a constructive and professional manner. By promoting civility and respect in the workplace, we can create a more positive and productive work environment for everyone.
According to the survey, 53% of respondents reported having colleagues who are rude or disrespectful. This percentage indicates that more than half of the surveyed individuals have experienced unprofessional behavior from their coworkers.
It is essential for everyone in a professional environment to treat their colleagues with respect and maintain a positive work environment.
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Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 = 0?
17 is the value of discriminant for quadratic equation.
What in mathematics is a quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.
The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
General form of a quadratic equation is
ax² + bx + c = 0
The Discriminant of the quadratic equation is denoted by D and defined as
D = b² - 4ac
The given Quadratic equation is
√2x² - 5x + √2 = 0
Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get
a = √2 , b = - 5 , c = √2
Value of Discriminant
= b² - 4ac
= (-5)² - 4 * √2 * √2
= 25 - 8
= 17
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I need help with coordinating it and I need the answer
Answer:
It's either C or B but I'm mostly going for C cause some of them have dots in the middle and some exactly on the line so if I were you I would choose C but if you want a different answer then choose B but I'd do C.
Hope this help biiiieee
Subtract:
$1.00 – $0.20 = 0
O A. $0.02
O B. $0.08
O C. $0.80
D. $0.98
Answer:
$0.8 or better known as answer C
Step-by-step explanation:
a jar contains five black buttons and six brown buttons. If 8 buttons are picked at random,what is the probability that at least 4 of them are black?
First, we write out the probability formula:
\(Pr(E)=\frac{n(R\text{equired outcome)}}{n(Total\text{ outcome) }}\)Total number of tickets = 13
Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)
\(\begin{gathered} Pr(\text{Ashley win ) }=\text{ }\frac{1}{13} \\ Pr(\text{Matt win) = }\frac{1}{13} \end{gathered}\)\(Pr(\text{both wins ) }=\frac{1}{13}\times\frac{1}{13}=\frac{1}{169}\)The final answer is 1/169
In order to express our answer as a percentage, we multiply by a 100%
= 1/169 x 100% = 0.592% ( to 3 significant figures)
The hypotenuse of a right triangle is 8.2 inches long and one of the legs is 6.4 inches long. What is the length of the other leg?
Answer:
5.1
Step-by-step explanation:
To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".
how do you explain how to get the answer for 4 1/5 divided by 2 1/3
Answer:
2 3/5
Step-by-step explanation:
1/5÷1/3
and solve
1×3
5/1
=3/5
Therefore:
1/5÷1/3=3/5
this is my question for math
Answer: the answer is
Step-by-step explanation: its simple bro just count the numbers inbetween 0 and
Use the circle graph that shows the results of a poll to which 60,000 teens responded. Predict how many of the approximately 28 million teens in the United States would buy a music CD if they were given $20.
Answer:
13%
Step-by-step explanation:
which 60,000 teens responded. Predict how many of the approximately 28 million teens in the United States would buy a music CD if they were given $20.
if its wrong tell me and i hope i help if you want to talk to me just say so:>
To directly measure the distance across a river, Makayla stands on one side of the diagram below to show the lengths and angles that she measures. Find PR, the distance across the river. Round your answer to the nearest foot.
Answer:
287 ft
Step-by-step explanation:
Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.
ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:
PR/PO = RE/OC
PR/(PR +165) = 235/370 . . . . . substitute known values
74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)
27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR
PR = 287 2/9 . . . . . . . divide by 27
The distance across the river is about 287 feet.
The 1st one was doable, but I don't understand the 2nd Question.
Answer: ? What are you talking about?
Step-by-step explanation:
Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
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Determine whether the relation is a function. Give the domain and the range of the relation. {(1,3),(1,5),(4,3),(4,5)} Is this a function?
We need to determine whether this relation is a function and provide the domain and range of the relation.In conclusion,the given relation is not a function, and its domain is {1, 4}, while the range is {3, 5}.
To determine if the relation is a function, we check if each input (x-value) in the relation corresponds to a unique output (y-value). In this case, we see that the input value 1 is associated with both 3 and 5, and the input value 4 is also associated with both 3 and 5. Since there are multiple y-values for a given x-value, the relation is not a function.
Domain: The domain of the relation is the set of all distinct x-values. In this case, the domain is {1, 4}.
Range: The range of the relation is the set of all distinct y-values. In this case, the range is {3, 5}.
In conclusion, the given relation is not a function, and its domain is {1, 4}, while the range is {3, 5}.
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Find the 12th term -7, -3, 1,
Answer:
\( \sf \: 12th \: term = 37\)
Step-by-step explanation:
Common difference (d) is,
→ d = a2 - a1
→ d = -3 - (-7)
→ d = -3 + 7
→ [ d = 4 ]
Now the 12th term will be,
→ a1 + (d × (n - 1))
→ -7 + (4 × (12 - 1))
→ -7 + (4 × 11)
→ -7 + 44
→ 37 => 12th term
Hence, the answer is 37.
7. Assume that when you take a bath, you fill a tub to the halfway point. The portion that you fill measures 6 feet by 2 feet by 2.2 feet. When you take a shower, your use a shower head with a flow rate of 2.23 gallons per minutes and you typically spend 8 minutes in the shower. There are 7.5 gallons in one cubic foot. a. Calculate the cubic feet of water for the bath. b. Calculate the cubic feet of water for the shower. C. How many minutes do you need in the shower to use as much water as the bath?
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.
The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons
Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons
17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet
The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.
To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:
26.4/2.23=11.83 min
Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.
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the faces of a cubical die are marked with the numbers 11, 22, 22, 33, 33, and 44. the faces of another die are marked with the numbers 11, 33, 44, 55, 66, and 88. what is the probability that the sum of the top two numbers will be 55, 77, or 99?
The probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.
To find the probability that the sum of the top two numbers will be 55, 77, or 99, we need to consider the possible combinations of numbers that can result in those sums. Let's break it down step by step:
1. Determine the total number of possible outcomes for each die:
- The first die has 6 faces, so there are 6 possible outcomes.
- The second die also has 6 faces, so there are 6 possible outcomes.
2. Calculate the number of favorable outcomes for each desired sum:
- For a sum of 55, we can have (22, 33) or (33, 22). So, there are 2 favorable outcomes.
- For a sum of 77, we can have (33, 44) or (44, 33). So, there are 2 favorable outcomes.
- For a sum of 99, we can have (44, 55) or (55, 44). So, there are 2 favorable outcomes.
3. Calculate the total number of possible outcomes:
- Since we have 6 possible outcomes for each die, the total number of possible outcomes is 6 * 6 = 36.
4. Calculate the probability:
- The probability is given by the formula: favorable outcomes / total outcomes.
- For a sum of 55, the probability is 2 / 36 = 1 / 18.
- For a sum of 77, the probability is 2 / 36 = 1 / 18.
- For a sum of 99, the probability is 2 / 36 = 1 / 18.
Therefore, the probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.
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Matt picked the correct answer choice which is choice A. Explain why choice A correctly
displays the graph of the inequality. (2 pts)
Help please
Answer:
The area shaded is above the line, thus y is greater than the given expression. The line is also dotted; hence y is greater than the expression, and not equal to it.
Step-by-step explanation:
Please help me with this question.
The volume formula for a pyramid is V = (1/3)bh where b is the base area and h is the height. We are given the volume and base measurements (remember that area for squares and rectangles is length * width), so plug the values into the equation and solve for the height:
8477.3 = (1/3)*34*34h
8477.3=(1156/3)h
25431.9/1156 = h
h is approximately 22 meters
What is the volume of a rectangular prism with a length of fourteen and one-fifth yards, a width of 7 yards, and a height of 8 yards?
seven hundred ninety-five and one-fifth yd3
seven hundred thirty-nine and one-fifth yd3
four hundred fifty-two and four-fifths yd3
two hundred twenty-six and two-fifths yd3
The volume of the rectangular prism is 226.2 cubic yards, which is option d.
How to determine the volume?The volume V of a rectangular prism is given by the formula:
V = lwh
where l is the length, w is the width, and h is the height.
According to given information:In this case, the length is 14 and one-fifth yards, the width is 7 yards, and the height is 8 yards.
We can substitute these values into the formula and simplify:
V = (14 + 1/5) × 7 × 8
V = (71/5) × 7 × 8
V = 1136/5
V=227.3 ≈ 226.2
Therefore, the volume of the rectangular prism is 226.2 cubic yards.
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Keeley ordered 240 T-shirts to sell at the school carnival. She paid $3.20
per shirt, plus 5% of the total order for shipping. When she sells each T-
shirt at the carnival, she adds a 150% markup to the total price she paid for
the shirt (including the cost of shipping). What is the selling price of each T-
shirt?
Answer:
We have 200 shirts
Cost $2.80 each
plus a 5% charge for shipping.
Selling price
150% markup
Recall when we use percentages, we need to express them as decimals.
Michelle's cost for each shirt was
2.80 (1.05) = 2.94
The markup is
2.94 (1.50) = 4.41
The markup is added to the cost to get the final selling price.
2.94 + 4.41 = $7.35
Michelle will sell each shirt for $7.35.
Let’s reword the question to make it simpler to understand:
Keeley pays $3.20 per shirt + 5% for shipping.
She sells them at the carnival for 150% the price she paid.
First of all we should work out how much the 5% shipping cost Keeley.
If the shirts are $3.20 that means 10% is $0.32, to get 5% we divide that by 2. This means 5% is $0.16, therefore shipping is $0.16.
The total price Keeley pays per shirt is $3.20 + $0.16 = $3.36.
Now let’s find out 10% of $3.36, which is $0.336, then multiply that by 15 to get 150%:
5.04
Therefore Keeley sells each shirt for $5.04
A corner lot that originally was square lost 185 m² of area when one of the adjacent syreets what is wide by 3 m and the other was widnened by 5 m find the new dimensions of the lot
The new dimensions of the lot is length = 22 meters and width = 20 meters
The corner lot that originally was square
Consider the side of the lot = x
The area of the square = Length × length
Therefore,
x × x = \(x^2\)
one of the adjacent streets which is widened by 3 m and the other was widened by 5
Therefore
(x-3) × (x-5) = \(x^2\) - 185
open the brackets
\(x^2-5x-3x+15=x^2-185\)
The x square term will cancel each other
-5x-3x = -185-15
-8x = -200
x = 25 meter
The new length of the lot = x-3
= 25-3
= 22 meter
The new width of the lot = 25-5
= 20 meters
Hence, the new dimensions of the lot is length = 22 meters and width = 20 meters
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Marisa’s mother is driving her to a doctor’s appointment in a town 75 mi. away. If they travel at a constant rate of speed of 50 mph, how long will it take to get to the doctor’s office? A. 1 hr. B. 1.5 hr. C. 2.5 hr. D. 3 hr.
Answer:
B) 1.5 hr
Step-by-step explanation:
75 miles/50 mph = 1.5 hrs
Answer:
B.1.5
Step-by-step explanation: We can already add 1 hour to the answer since 75 minus 50 would be 25. Next, we know that 25 is one half of 50 so that would result in us adding half an hour or 0.5. Now we can add. 1 plus 0.5 results in 1.5
Write an express for the perimeter of the figure shown by combing like terms.
Answer:
21w+3
Step-by-step explanation:
1) 9w+5+5w+7w-2
2) 9+5+7=21.
3) 5-2=3
mia i was there for u all the time i literally helped u and ur mom pay off stuff and you tell me you dont wanna be friends anymore cus im black? thats so disgusting and hurtful bc a 7 yr friendship is down the drain because of my skin color ur dad is black inculding your grandpa so what do u mean just bc you look white dont mean u are ur mixed. so the fact u would even have the audacity to say that hurts me pretty bad and ik you wouldnt say that to ur dad.
Answer:
:( we will all be here for you m :)
Step-by-step explanation:
Answer:
Ong she woulda had to see the hand.
Step-by-step explanation:
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