Answer:
y=85
Step-by-step explanation:
For A science experiment Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water which person made a more concentrated salt solution explain use 1 L =2.11 pints round your answer to the nearest hundredth
Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.
Concentration of each solution
The concentration of each solution is calculated as follows;
Concentration = mass/volume
For Marcia:Concentration = 1 /3 = 0.33 kg/L
For Bobby:1 pound = 0.454 kg2 pounds = 0.908 kg2.11 pints = 1 L7 pints = 3.318 LConcentration = 0.908/3.318 = 0.27 kg/L
Thus, Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.
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Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
For A science experiment, Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water, for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water.
For Marcia, the concentration:
The ratio of mass to volume = 1/3 = 0.33 kg/L
For Bobby, the concentration:
The ratio of mass to volume = 2/7 pounds/pint = (2/2.205)/(7/2.11)
= 0.907/3.317 = 0.27 kg/L
Thus, Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The probability of landing on yellow is less than the probability of landing on blue.
==========================================================
Explanation:
We have the following:
There are 2 purple sections labeled "1" and "8". The probability of getting purple is 2/8.There are 2 yellow sections labeled "2" and "3". The probability of getting yellow is 2/8.There are 3 blue sections labeled "4", "5", and "6". The probability of getting blue is 3/8.There's only one orange section (labeled "7"). The probability of getting orange is 1/8.In short,
Probability of purple = 2/8Probability of yellow = 2/8Probability of blue = 3/8Probability of orange = 1/8Normally the goal is to reduce the fractions, but in this case it's better to keep them as they are. This allows for easier comparisons of other fractions.
------------
Now to look through the answer choices to see which are true, and which are false.
A) This is false because the probability of orange is 1/8, while the probability of purple is 2/8. We're twice as likely to get purple compared to orange. Statement A is backwards and therefore false.B) This is true. The probabilities of yellow and blue are 2/8 and 3/8 respectively. Compare the numerators to see that 2 < 3, so 2/8 < 3/8. Choice B is the final answer.C) This is false. We found that the probability of orange was 1/8, while the probability of yellow was 2/8. It's clear that 1/8 and 2/8 aren't equal. Or you could say \(1 \ne 2 \rightarrow 1/8 \ne 2/8\)D) This is false. The probabilities of purple and blue are 2/8 and 3/8 respectively. Like with choice C, it's clear that 2/8 and 3/8 aren't equal.-3, -6, -12, -24,.... Next 3 2, 4, 8-12, -6, -3-48, -96, -192 -36, -48, -60
We can see that the ratio between consecutive numbers is
\(\frac{-6}{-3}=\frac{-12}{-6}=\frac{-24}{-12}=2\)this means that, the nex number is
\(\begin{gathered} -24\cdot2=-48 \\ \text{and next} \\ -48\cdot2=-96 \\ \text{and finally} \\ -96\cdot2=-192 \end{gathered}\)Hence, the answer is -48, -96, -192
The sum of two numbers is 48. If one number is three more than twice the second number, which of the following is the
smaller number?
O 24
O 15
O 30
O 33
Answer:
15 (second option listed)
y = 15
x = 30
Step-by-step explanation:
setting up this statement algebraically:
[where x = one of our numbers, y = other number]
x + y = 48
x = (2y + 3)
x = 2y + 3
plug x [now in terms of y] into the original equation
(2y + 3) + y = 48
3y + 3 = 48
- 3 - 3
3 y = 45
÷3 ÷3
y = 15
from this value, we can plug it back into the y-value of the original equation to find our x-value
x + y = 48
x + 15 = 48
- 15 - 15
x = 33
{to check: 33 is 2y + 3}
we know that y = 15 (smaller number) and that x = 33 (larger number)
so, the solution to the question of which is the smaller number is 15
What is the 8th term of the arithmetic sequence if T6 = 12 and d = 2?
The required answer is 8th term of the arithmetic sequence (T8) is 16.
Explanation:-
To find the 8th term of the arithmetic sequence (T8) with T6 = 12 and the common difference (d) = 2,
1. Use the formula for the nth term of an arithmetic sequence: Tn = T1 + (n - 1)d
2. We need to find T1 first. Since we know T6 = 12 and d = 2, we can rearrange the formula to find T1: T1 = T6 - (6 - 1)d
3. Substitute the values: T1 = 12 - (5)(2) = 12 - 10 = 2
4. Now we have T1 and can find T8 using the formula: T8 = T1 + (8 - 1)d
5. Substitute the values: T8 = 2 + (7)(2) = 2 + 14 = 16
8th term of the arithmetic sequence, we can use the formula: Tn = a + (n - 1) * d where Tn is the nth term, a is the first term, n is the term we want to find, and d is the common difference between consecutive terms. We are given that T6 = 12 and d = 2. Using the formula, we can solve for a: T6 = a + (6 - 1) * 2 12 = a + 10 a = 2 Now that we know a = 2, we can use the formula again to find the 8th term: T8 = 2 + (8 - 1) * 2 T8 = 2 + 14 T8 = 16 Therefore, the 8th term of the arithmetic sequence is 16
The 8th term of the arithmetic sequence (T8) is 16.
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In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err
Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.
To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.
To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.
Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.
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Part A Which angles of the triangles measure 90°?
Answer:
B, A, D
Step-by-step explanation:
because the points turn equally to the right, down, left, or up. which is 90 degrees.
Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system? $15.84 $23.76 $39.60 $63.36
Answer:
$63.36
Step-by-step explanation:
The home audio system costs $264 wholesale.
The system's price had been increased by 60 percent at the electronics retailer.
Consequently, the increased cost is 60/100x264=$158.40.
The audio system's total cost is now $422.40 (264 + 158.40).
Given that Lori received a commission of = 15% on $422.40, her commission is now (15/100) x 422.40
= $63.36
2. Simplify the expression: 4(8) + 3(x - 6)
Answer:
3x+14
Step-by-step explanation:
4(8)+3(x-6)
=32+3x-18
=3x+14
Which of the following quantities is equal to the energy per second generated by fusion in the Sun's core? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. а the temperature at the Sun's photosphere. b the luminosity of the Sun's photosphere. с the temperature of the Sun's core. d the force of gravity holding the Sun together.
The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.
The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.
The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.
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Given: E is the midpoint of AB and CD
Prove: AAEC ABED
Statements
1. E is the midpoint of AB + CD
2. AEBE
3. CEDE
Reasons
1.
given
2. def. of midpoint
3. det. of midpoint.
4.
5.
4.
5. AAECABED
What should go in for reason #4 AND reason #5? (make sure you pick two answers)
# 4. Vertical Angles
#4. Definition of Congruent Angels
#4. Definition of Angle Bisector
#5. SSS
#5. SAS
#5. SSA
What should go in for reason #4 AND reason # 5? (make sure you pick two answers)
Select 2 correct answer(s)
please help because i need help if anyone can help with this
Question 5
A box-and-whisker plot is shown below:
Correctly label each part of the plot.
1. 0
2. 5
3. 10
4. 15
5. 20
6. 25
7. 30
8. 35
9. 40
10. 45
11. 50
Maximum
First Quartile (Q1)
Second Quartile (Median)
Minimum
Third Quartile (Q3)
Answer:4
Step-by-step explanation:
Solve the equation below for x.
3.25x = 8.125
Answer:
x = 2.5
Step-by-step explanation:
3.25x = 8.125
Divide each side by 3.25
3.25x/3.25 = 8.125/3.25
x =2.5
Answer:
x = 2.5
Step-by-step explanation:
3.25x = 8.125
then divide both sides by 3.25 to get x on its own
x = 2.5
for this assignment, you will create two data collections tools: a needs assessment and a satisfaction survey . both surveys will be administered in edu-588.
the needs assessment and satisfaction survey are two data collection tools that you will create for the edu-588 assignment. The needs assessment will help identify participant needs and areas of improvement, while the satisfaction survey will gather feedback on the overall satisfaction with the course. The main answers from both surveys will be summaries of the responses received, providing valuable insights for future improvements.
For the assignment in edu-588, you will be creating two data collection tools: a needs assessment and a satisfaction survey. These surveys will be used to gather information related to the needs and satisfaction of the participants.
1. Needs Assessment:
- The needs assessment survey is designed to identify the specific needs of the participants in edu-588. It will help you gather information about their knowledge, skills, and areas of improvement.
- To create the needs assessment, you can use a combination of multiple-choice questions, Likert scale questions, and open-ended questions.
- Include questions that address the specific learning objectives of the course and ask participants to rate their proficiency in those areas.
- The main answer from the needs assessment will be a summary of the responses received, highlighting the common needs and areas requiring improvement.
2. Satisfaction Survey:
- The satisfaction survey aims to evaluate the overall satisfaction of the participants with the edu-588 course. It will help you gather feedback on various aspects such as the course content, delivery, and resources provided.
- Similar to the needs assessment, you can use a combination of Likert scale questions, multiple-choice questions, and open-ended questions for the satisfaction survey.
- Include questions that ask participants to rate their satisfaction levels and provide suggestions for improvement.
- The main answer from the satisfaction survey will be a summary of the responses received, highlighting areas of satisfaction and areas that need improvement based on the feedback provided.
the needs assessment and satisfaction survey are two data collection tools that you will create for the edu-588 assignment. The needs assessment will help identify participant needs and areas of improvement, while the satisfaction survey will gather feedback on the overall satisfaction with the course. The main answers from both surveys will be summaries of the responses received, providing valuable insights for future improvements.
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\(f(x) = 2x^{3} - 5x^{2} - 14x + 8\) synthetic division
possible zeros:
Zeros:
Linear Factors:
The value of the function is dy/dx = f(x) = 6x²-10x-14
What is differentiation?Differentiation is an element of personalized learning which involves changing the instructional approach to meet the diverse needs of students. It can involve designing and delivering instruction using an assortment of teaching styles and giving students options for taking in information and making sense of ideas.
the given function f(x) 2x³ -5x² -14x + 8
F(x) =dy/dx = 2*3(x)³⁻¹ -5*2(x²⁻¹) -14(x¹⁻¹)
Therefore the derivative of the function is f(x) = 6x²-10x-14
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Factor Each expression. If it cannot be factored write "Prime"
Question 1. 4x-16
Question 2. 18k+42
Answer:
1. is -64 bye hope this help
Which of the options is the correct formula to convert Celsius to Fahrenheit?
A
(5/9)C + 32
B
(9/5)C - 32
C
(5/9)C - 32
D
(9/5)C + 32
A) The correct formula to convert Celsius to Fahrenheit is: (9/5)C + 32. This formula uses the relationship between the two temperature units to convert a temperature in Celsius to its equivalent in Fahrenheit.
Fahrenheit and Celsius are units of measurement for temperature, with Fahrenheit being part of the imperial system and Celsius part of the metric system.
When converting between temperature units, it is important to use the correct formula to ensure that you obtain accurate results. In this case, the formula (9/5)C + 32 takes the temperature in Celsius and multiplies it by 9/5, then adds 32 to obtain the equivalent temperature in Fahrenheit. It is important to understand the basic conversion formulas so that you can perform the calculations manually if necessary.
In many cases, you can also use conversion tools such as calculators or charts to convert between temperature units.
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Evaluate x−1/3 when x=−2/3.
Given that x=-2/3
\(x-\frac{1}{3}=\frac{-2}{3}-\frac{1}{3}\)Then,
\(\begin{gathered} x-\frac{1}{3}=\frac{-2-1}{3} \\ x-\frac{1}{3}=\frac{-3}{3} \\ x-\frac{1}{3}=\frac{-1\times3}{3\times1} \\ x-\frac{1}{3}=\frac{-1}{1} \\ x-\frac{1}{3}=-1 \end{gathered}\)Therefore the value for x-1/3 is -1.
write 1.1% as a decimal number
Answer:
0.011
Step-by-step explanation:
To convert a percentage into a decimal, simply divide by 100;
Some examples are:
1% = 0.01
5% = 0.05
10% = 0.1
50% = 0.5
N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:
1000 × 0.011 = 11
Answer:
0.011
Step-by-step explanation:
To convert a percentage to a decimal, you must divide the percentage by the number 100.
Therefore, 1.1% / 100 = 0.011.
(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)
Hope this helped you!
Decide if the expressions are equivalent. 2.5x and x+5
HELP ME
Create an Always/Sometimes/Never problem that involves quadrilaterals whose answer is Always. Replace one word from your Always/Sometimes/Never to the phrase “at least” to change the answer to Sometimes.
BRAINLIEST FOR A CORRECT ANSWER
Based on the given question the we can say that Always statement will be - The sum of all angles of a quadrilaterals is always equals to 360°.
The general statement for the n sided polygon is (n-2)*180.
For the above statement, we can say that the value of n should at least be greater than 2 (n>2).
What is a Quadrilateral?
A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
A quadrilateral, often known as a square, rectangle, or rhombus, is a polygon with four sides. You are currently staring at a computer screen that is most likely shaped like a quadrilateral. You'll study the quadrilateral in geometry classes.
When is sum of angles of a Quadrilateral equal to 360 degree?The answer is clearly always.
Similarly we can create more problems and we should also know that sum of angles of general n sided polygon = (n-2)*180
if we put n = 4 in above equation we get 360 degree as answer.
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please help will give brainistFor two programs that total 1073 students, the type of student for two majors is as follows. Undergraduate Graduate History Science 390 422 73 188 Find the probability a student is a science major, given they are a graduate student. P(AnB) P(B|A) = P(A) P(science | graduate) = [?] Round to the nearest hundredth. I Enter
The probability that a student is a science major, given they are a graduate student is given as follows:
P(science|graduate) = 0.7203 = 72.03%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The outcomes for this problem are given as follows:
Desired outcomes: graduate science students -> 188 from the table.Total outcomes: graduate students: 73 + 188 = 261 students.Hence the probability that a student is a science major, given they are a graduate student is obtained as follows:
P(science|graduate) = 188/261
P(science|graduate) = 0.7203 = 72.03%.
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Answer:
0.72
Step-by-step explanation:
plz multiply by using the Distributive property
( x to the power of two + 6 ) ( x - 4 ) =
what is the answer?
Answer:
x³ - 4x² + 6x - 24
Step-by-step explanation:
Given
(x² + 6)(x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x - 4) + 6(x - 4) ← distribute both parenthesis
= x³ - 4x² + 6x - 24
a table or spreadsheet used to systematically evaluate options according to specific criteria is a ________.
A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.
A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.
The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.
By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.
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Expand 5(4x +7)
Factorise 12a-6
This table shows the weekly rainfall, in inches, for two cities for 10 weeks.
City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1
City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1
Which conclusion can be drawn from the data?
Question 11 options:
For the 10 weeks, City A received more rainfall, on average, than City B.
For these 10 weeks, City A and City B received the same amount of rainfall, on average.
The median rainfall for City A is less than the median rainfall for City B.
For these 10 weeks, the range of rainfall for City B is greater than the range of rainfall for City A.
The conclusion which can be drawn from the data is that for the 10 weeks, City A received more rainfall, on average, than City B. The Option A is correct.
Which city received more rainfall on average?From the data, we can calculate the average (mean) rainfall for each city over the 10 weeks.
The average rainfall for City A is:
= (0.2+0+1.5+1.3+2.5+3+0.4+0.3+0.2+1) / 10
= 1.04 inches per week.
The average rainfall for City B is:
= (0+0+0.4+0.2+0.3+1+1+1+0.1+0.1) / 10
= 0.41 inches per week.
We can see that for the 10 weeks, City A received more rainfall, on average, than City B..
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Emma bought 5 peices of candy from a candy disencer. Each peice of candy costs $0.75. How much money did she spend on candy?
Answer:
$3.75
Step-by-step explanation:
5*0.75 = 3.75
Just multiply the two numbers together.
Answer:
$3.75
Since she claimed that she purchased 5 pieces of candy, each of which cost 0.75, one piece of candy costs 0.75. Since each one costs 0.75, you must multiply 0.75x5 which is 3.75.
Hence, she spent $3.75 on candy
The radius of a circle is 6 feet. What is the circle's circumference? Use 3.14
10. Set up and evaluate the definite integral for the area of the surface generated by revolving the curve a) (3 pts.)y= 6x 3+ 2x1 ,1≤x≤2, about the x-axis; b) (3 pts.) x= 4y−1,1≤y≤4, about the y-axis.
The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:
∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx
To calculate dy/dx, we differentiate the given equation:
dy/dx = 18x^2 + 2
Substituting this back into the integral, we have:
∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx
Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.
b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:
∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy
To calculate dx/dy, we differentiate the given equation:
dx/dy = 4
Substituting this back into the integral, we have:
∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy
Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.
By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.
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Simplify:
4x + 3 + (– 3x) + 7x – 6x
Answer:
2x+3
Step-by-step explanation: