Answer:
The answer is (0,-6)
what number is 80% of 45 solve proportion
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answer:
We need 4 litres of red paint.
Step-by-step explanation:
We need to take their respective precentages to compare the 3 litres of paint to 8 litres of paint.
\( \frac{1.5}{3} \times 100\% = 50\% \\ \frac{1.25}{3} \times 100\% = 41.67\% \\ \frac{0.25}{3} \times 100\% = 8.33\% \\ \)
Now, we know that the pale purple paint contains 50% red paint, 41.67% blue paint, and 8.33% white paint.
Now, we will transfer these percentages to the 8 litres of paint:
\(50\% \: of \: 8 \: litres = 0.5(8) = 4 \: litres \\ 41.67\% \: of \: 8 \: litres = 0.4167(8) = 3.3336 \: litres \\ 8.33\% \: of \: 8 \: litres = 0.0833(8) = 0.6664 \: litres\)
the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way
Answer:
Step-by-step explanation:
Take out a common factor (x)
x ( 1 - 0.10 )
Now do the subtraction
0.90x
NEED HELP ASAP 20 points!!!
the distance a spring will stretch varies directly with how much weight is attached to the spring.if a spring streches 6 inches with 80 pounds attached how far will it stretch with 55 pounds attached
round to the nearest tenth of an inch!
A. 5.9 in
B. 8.7 in
C. 6.1 in
D.4.1 in
Answer:
D
Step-by-step explanation:
6:80 is about 13.33 pounds per inch. You can get that by dividing 80 by 6 to get the unit rate. All you have to do from there is divide 55 by 13.33, which gives you around 4.12, or 4.1.
Hope this helps!
Phil collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday. He recorded the data in the scatterplot.
The title of the graph is saturday. One axis is labeled hours of video games. The other axis is labeled hours of sleep.
Based on the scatterplot, what is the best prediction of the number of hours one of Phil’s friends spends sleeping when the friend spends 1 hour playing video games?
9 hours
8 hours
10 hours
7 hours
Tye answer to this problem is 9 hours
Answer:
Step-by-step explanation:
It’s 9
2(10+p)−20<140 what the answer
Answer:
p<70
Step-by-step explanation:
Answer:
p < 70
Step-by-step explanation:
2(10 + p) - 20 < 140
20 + 2p - 20 < 140
2p < 140
p < 70
The school store sells 4 pencils for $0.50. At this rate, what is the cost (in dollars) of 10 pencils?
Ruby is planning to put a square garden with an area of 200 square feet in her back yard estimate the lenght of each side of the garden to the nearest whole number
The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in florida at 17 5/12 feet. Which is the differnce in their lenghth
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length = \(14\frac{5}{12} = \frac{173}{12}\)
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length = \(17\frac{5}{12} = \frac{209}{12}\)
Now Let us find the difference between the lengths:
\(\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3\)
Therefore the difference in the lengths of the two alligators = 3
data where the difference between data values has meaning but there is no defined starting point
Data where the difference between data values has meaning but there is no defined starting point is called Interval data
Interval data is a type of data that is measured along a scale, in which each point is placed at an equal distance from one another. It is one of the two types of discrete data.
An example of interval data is the data collected on a thermometer, Temperature in Fahrenheit or Celsius, and pH measure.
Characteristics of Interval Data:
Quantitativeness: which takes numeric value but exhibits qualitative character.
Arithmetic Operation: perform operations like addition and subtraction on interval data
Measurement Scale: This is measured using an interval scale, which not only shows the order but also shows the exact difference in the value.
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How much is $100 received at the end of each year forever, at 10% interest, worth today? Multiple choice question. a. $8,830.14 b. $9,255.75 c. $1,000 d. $7,621.09.
Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of
To find the present value of an infinite stream of cash flows, we can use the formula:
PV = CF / r
where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.
In this case, CF = $100 (received at the end of each year forever) and r = 10%.
Plugging in the numbers, we get:
PV = $100 / 0.10 = $1,000
So the present value of the infinite stream of cash flows is $1,000.
However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:
PV = CF / (r - g)
where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).
Plugging in the numbers, we get:
PV = $100 / (0.10 - 0) = $1,000
So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.
Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.
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Chromium metal can be produced from high-temperature reactions of chromium (III) oxide with liquid silicon. The products of this reaction are chromium metal and silicon dioxide.
If 9.40 grams of chromium (III) oxide and 4.25 grams of Si are combined, determine the mass of chromium metal that is produced. Report your answer in grams
When 9.40 grams of chromium (III) oxide and 4.25 grams of Si are combined and react together, the chromium (III) oxide (Cr₂O₃) is reduced to form chromium metal (Cr) while the silicon (Si) is oxidized to form silicon dioxide (SiO₂).
The balanced chemical equation for the reaction can be written as:2 Cr₂O₃ + 3 Si ⟶ 4 Cr + 3 SiO₂
The equation above shows that two moles of chromium (III) oxide react with three moles of silicon to form four moles of chromium metal and three moles of silicon dioxide. We can use this stoichiometric ratio to find the mass of chromium metal produced from the given mass of chromium (III) oxide and silicon.
1. Calculate the moles of each reactant. The molar mass of Cr₂O₃ is 152.0 g/mol.
Therefore, the number of moles of chromium (III) oxide (Cr₂O₃) is: 9.40 g ÷ 152.0 g/mol = 0.0618 mol
The molar mass of Si is 28.09 g/mol.
Therefore, the number of moles of silicon (Si) is: 4.25 g ÷ 28.09 g/mol = 0.1515 mol
2. Use the stoichiometry of the balanced chemical equation to find the number of moles of chromium metal formed from the given amount of chromium (III) oxide and silicon.
In the balanced chemical equation above, two moles of Cr₂O₃ react to produce four moles of Cr.
Therefore, the number of moles of Cr produced from 0.0618 moles of Cr₂O₃ is:
0.0618 mol × 4 mol/2 mol = 0.1236 mol
In the balanced chemical equation above, three moles of Si react to produce four moles of Cr.
Therefore, the number of moles of Cr produced from 0.1515 moles of Si is:
0.1515 mol × 4 mol/3 mol
= 0.2020 mol3.
Calculate the mass of chromium metal produced from the number of moles found above.
The molar mass of chromium (Cr) is 52.0 g/mol. Therefore, the mass of chromium metal produced is:
0.1236 mol + 0.2020 mol = 0.3256 mol
52.0 g/mol × 0.3256 mol = 16.94 g
Hence, 16.94 g of chromium metal is produced from the given mass of chromium (III) oxide and silicon.
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Find the volume of this object.
Use 3 for π.
Volume of a Cylinder
V=πr2h
5 ft
4 ft
5 ft
Volume of a Rectangular Prism V = lwh
5 ft
V ≈
9 ft
The volume of the object is 285 cubic feet based on the individual volume of cylinder and rectangular prism.
We will calculate the volume of each shape individually followed by their addition.
To calculate the volume of cylinder, we will find radius.
Radius = diameter/2
Radius = 4/2
Radius = 2 ft
Volume of cylinder = πr²h, where r is radius and h is height. Keep the values in formula -
Volume of cylinder = 3 × 2² × 5
Take square and multiply the digits
Volume of cylinder = 60 cubic feet
Volume of rectangular prism = l × w × h, where l is length, w is width and h is height
Volume of rectangular prism = 5 × 5 × 9
Volume = 225 cubic feet
Total volume = 60 + 225
Total volume = 285 cubic feet
Hence, the volume of object is 285 feet.
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population of 6 fish triples each month. How many fish will there be in a year?
A random sample of 830 adult television viewers showed that 52% planned to watch sporting event X. The margin of error is 3 percentage points with a 95% confidence. Does the confidence interval support the claim that the majority of adult television viewers plan to watch sporting event X? Why?
A) Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%. This is strong evidence that the true proportion is greater than 50%
B) Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. Since the confidence interval is mostly above 50% it is likely that the true proportion is greater than 50%.
C) No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%. The lower limit of the confidence interval is just too close to 50% to say for sure.
D) No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. The true proportion could be less than 50%.
Given that the sample of 830 adult television viewers showed that 52% planned to watch sporting event X with a margin of error of 3 percentage points with 95% confidence. A confidence interval is defined as the range of values within which we are confident that the true population parameter falls within.
the correct answer is option (A).
Since the confidence interval ranges from 50.5% to 53.5%, we are confident that the true population proportion falls within this range of 95% of all possible samples. Hence, we can say that the answer is (A) Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%.
This is strong evidence that the true proportion is greater than 50%.Since the confidence interval ranges from 50.5% to 53.5%, we are confident that the true population proportion falls within this range of 95% of all possible samples. Hence, we can say that the answer is (A) the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. Since the confidence interval is mostly above 50% it is likely that the true proportion is greater than 50%.No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%. The lower limit of the confidence interval is just too close to 50% to say for sure.
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The correct option is D;
No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. The true proportion could be less than 50%.
Does the confidence interval support the claim?To determine if the confidence interval supports the claim that the majority of adult television viewers plan to watch sporting event X, we need to examine the lower and upper bounds of the confidence interval and compare them to the claim.
Given:
Sample size (n) = 830Proportion of viewers planning to watch sporting event X (p) = 52%Margin of error (M.E.) = 3 percentage pointsConfidence level = 95%The confidence interval can be calculated using the formula:
CI = p ± Z * sqrt((p * (1 - p)) / n)
Where each variable is:
CI is the confidence interval
p is the sample proportion
Z is the Z-score corresponding to the desired confidence level
n is the sample size
First, let's calculate the confidence interval:
CI = 0.52 ± 1.96 * √(0.52 * (1 - 0.52)) / 830)
CI ≈ (0.485, 0.555)
The confidence interval is approximately (0.485, 0.555).
Now, since the lower bound of the confidence interval is smaller than 0.5 (the 50%) then we conclude that the claim is not supported.
The correct option is D (the values are rounded, that is why are somewhat different).
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Rewrite the equation in the form (x-p)² =q.
x^2 + 5x+9/4=0
The rewritten equation is.
(Use integers or fractions for any numbers in the equation. )
Answer:
p = -5/2 and q = 4
Step-by-step explanation:
\(x^{2} + 5x + \frac{9}{4}=0\\ x^2+2.x.\frac{5}{2}+ \frac{9}{4} = 0\\x^2+2.x.\frac{5}{2} + (\frac{5}{2}) ^{2} - (\frac{5}{2})^2 + \frac{9}{4} = 0\\ (x+\frac{5}{2} )^2=\frac{25}{4}-\frac{9}{4}\\(x+\frac{5}{2} )^2 = 4\)
tripling the linear size of an object multiplies its area by
Tripling the linear size of an object multiplies its area by a factor of nine.
When the linear size of an object is tripled, the area of the object is multiplied by 9.
This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.
Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:
A' = (3L)^2
A' = 9L^2
Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.
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Unless otherwise specified,answers(numeric or algebraic)need not be simplified.lfyour answer is given as a decimal approximation,it should be correct to three places after the decimal point.Unless otherwise specified,the domain of a function fis assumed to b oe the set of all real numbers x for which f(x) is a real number.For time0
The given functions are
\(F(t)=\arctan (\frac{\pi}{2}-\frac{t}{10})\)\(undefined\)A company has two large computers. The slower computer can send all the company's email in minutes. The faster computer can complete the same job in minutes. If both computers are working together, how long will it take them to do the job
Both the computers will take 18 minutes to do the job together.
The slower computer sends all the company's email in 45 minutes.
The faster computer completes the same job in 30 minutes.
Let's take minutes t to complete the task together.
As they complete one job, we get the following equation:
\(\frac{t}{45}\)+\(\frac{t}{30}\)=1
LCM of 45 and 30 is:
45 = 3 x 3 x 5
30 = 2 x 3 x 5
LCM = 2 x 3 x 3 x 5 = 90
Now, solving for t;
⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)
Dividing both sides by 5;
\(\frac{5t}{5}=\frac{90}{5}\)
We get t = 18
Hence, it will take both the computers 18 minutes to do the job together.
A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?
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Taika has 320.00 in the bank. He spends 5% on a gift for his sister. How much did he spend?
Answer:
He spent 16 dollars on his sisters gift.
Step-by-step explanation:
You can do 320 x .05 which will equal 16.
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Word problem involving permutations
There are 3 cyclists in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the 2 prizes be awarded?
Answer: 6
Step-by-step explanation: Each person can get first or second place prize.
First chance :3 people x 1st chance =3 chances
Second chance: 3 people x 2nd chance =3 chances
3+3=6 chances
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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you are asked to design spring bumpers for the walls of a parking garage. a freely rolling 1300 kgkg car moving at 0.61 m/sm/s is to compress the spring no more than 0.079 mm before stopping.
Your explanation of the design considerations for spring bumpers in a parking garage is accurate and provides a comprehensive understanding of the factors involved. You correctly applied the equations for force and Hooke's law to determine the required force and spring constant.
By considering the mass of the car and the desired deceleration rate, you calculated the force needed to stop the car. Then, using Hooke's law, you determined the spring constant required to compress the spring by a specific distance. Additionally, you mentioned the importance of designing the bumper to absorb and dissipate the impact energy effectively. By using a protective casing and selecting materials like high-density polyethylene, you highlighted the need for durability and the ability to withstand repeated impacts without permanent deformation or damage.
Overall, your explanation demonstrates a solid understanding of the key factors and calculations involved in designing spring bumpers for parking garage walls.
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list the 8 numbers between 4 and 40 in a sequence of 10 numbers a common difference
Answer:
8, 12, 16, 20, 24, 28, 32, 36
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
a₁ is the first term and d the common difference
given a₁ = 4 and a₁₀= 40 , then
4 + 9d = 40 ( subtract 4 from both sides )
9d = 36 ( divide both sides by 9 )
d = 4
add d to each term to obtain the next term
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32
32 + 4 = 36
the 8 terms between 4 and 40 are
8, 12, 16, 20, 24, 28, 32, 36
a bag of popcorn contains 483 calories and serves 3.5 people. How many calories are there per serving
Answer: 138 calories.
Step-by-step explanation:
Answer:
138 calories per serving
Step-by-step explanation:
Select all the correct answers.
Which expressions are equivalent to log4 (²) ?
Answer:
A: -1 + 2 log4^x
C: log4 (1/4) + log4 x^2
Step-by-step explanation:
Apply logarithm properties:
log4 (1/4x^2) = log4 (1/4) + log4 x^2
Evaluate: log4 (1/4)
log4 (1/4) = -1
Substitute the value back:
-1 + lg4 x^2
Apply logarithm properties:
-1 + 2 log4 ^x
Draw a conclusion:
The expressions equivalent to: log4 (1/4x^2) are:
Answer Choices: A, and C
A= -1 + 2 log4^x
C= log4 (1/4) + log4 x^2
Hope this helps!
emma lee is shopping for supplies for her science project. The regular price of the supplies at a hardware store is $20. The store offers a 25% discount for students. The sales tax is 5% of the discounted pricehow can you find the total price emma lee will pay for the supplies
The total price will be $15 + $0.75 = $15.75.To find the total price Emma Lee will pay for the supplies, follow these steps:
1. Calculate the discount amount: $20 x 25% = $5
2. Subtract the discount from the regular price: $20 - $5 = $15 (discounted price)
3. Calculate the sales tax: $15 x 5% = $0.75
4. Add the sales tax to the discounted price: $15 + $0.75 = $15.75
The total price Emma Lee will pay for the supplies is $15.75.
To find the total price Emma Lee will pay for the supplies, you first need to calculate the discounted price. The discount is 25% of the regular price, which is $5 (25% of $20). So, the discounted price is $15 ($20 - $5). Next, you need to calculate the sales tax. The tax is 5% of the discounted price, which is $0.75 (5% of $15). Finally, to find the total price Emma Lee will pay for the supplies, you need to add the discounted price and the sales tax. So, the total price will be $15 + $0.75 = $15.75.
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5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
HELP ME ASAP..................
Answer:
Rate of change is 2
y-intercept would be 4 or (0,4)
Step-by-step explanation:
HELP PLEASE.
What's 6 x 183?
A. 1023
B. 1639
C. 1089
D. 1098
Answer:
D
........................
Answer:
D. 1098 is the right answer.Step-by-step explanation:
\((6 \times 183 )= 1098\)