The final balance of the checking account after these transactions would be $375 - 2x. Note that we do not have information about the actual values of x, so we cannot determine the final balance precisely.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
The initial balance of the checking account is $350.
If the customer makes two withdrawals, one $50 more than the other, let's assume the smaller withdrawal amount is x. Then, the larger withdrawal amount will be x + $50.
So, the new balance of the checking account after these two withdrawals would be:
$350 - x - (x + $50) = $350 - 2x - $50 = $300 - 2x
After this, the customer makes a deposit of $75, which would increase the balance of the checking account to:
$300 - 2x + $75 = $375 - 2x
Therefore, the final balance of the checking account after these transactions would be $375 - 2x. Note that we do not have information about the actual values of x, so we cannot determine the final balance precisely.
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Complete question:
Write an expression for the new balance using as few terms as possible. A checking account has a balance of $350. A customer makes two withdrawals, one $50 more than the other. Then he makes a deposit of $75.
The double number line shows that Kimimela fed her rabbits 350
350350 days this year. Her foster brother fed them the other days.
A double number line with 2 tick marks. The line labeled Time, days, reads from left to right: 0, 350. The line labeled Percentage, reads from left to right: 0 percent, 100 percent.
A double number line with 2 tick marks. The line labeled Time, days, reads from left to right: 0, 350. The line labeled Percentage, reads from left to right: 0 percent, 100 percent.
Complete the table to show different percentages of the days that Kimimela fed her rabbits.
Time (days) Percentage
100
%
100%100, percent of 350
350350 days
20
%
20%20, percent of 350
350350 days
80
%
80%80, percent of 350
350350 days
Stuck?Review related articles/videos or use a hint.
To complete the table, we need to calculate the number of days Kimimela fed her rabbits for each given percentage. To do this, we can use proportions.
For example, to find out how many days Kimimela fed her rabbits if she fed them 20% of the time, we can set up the proportion:
20/100 = x/350
where x is the number of days Kimimela fed her rabbits. Cross-multiplying, we get:
100x = 20 * 350
Solving for x, we get:
x = 20 * 350/100 = 70
So, if Kimimela fed her rabbits 20% of the time, she fed them for 70 days.
Using the same method, we can complete the table as follows:
Time (days) Percentage
100
%
100%100, percent of 350
350350 days
20
%
20%20, percent of 350
7070 days
80
%
80%80, percent of 350
280280 days
Therefore, if Kimimela fed her rabbits 100% of the time, she fed them for all 350 days. If she fed them 20% of the time, she fed them for 70 days. And if she fed them 80% of the time, she fed them for 280 days.
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Jakim deposited $10,000 in an account that earned simple interest annually.
- He did not make additional deposits nor withdrawals.
-At the end of 7 years, the balance was $12,100.
What is the interest rate on this account?
Answer:
Step-by-step explanation:
Simple interest is a method for calculating the percentage of interest paid on a sum over a predetermined time period at a predetermined rate. The annual simple interest rate on the principal amount of 10000 at the end of 7 years would be 3%.
What exactly is simple interest?In simple interest, the principal amount doesn't change. Simple interest is a clear-cut and simple method for figuring out how much money has earned interest. It is a way to figure out how much interest will be charged.
Simple interest can be computed by multiplying the principal amount by the rate multiplied by the time period. In banks and other financial institutions, simple interest is frequently used to complete a variety of calculations. The total amount of cash that was spent on interest during the course of the loan is described.
Simple Interest = ( Principal × Rate × Time ) / 100
First, we need the Simple Interest (S.I)
Total = Principal + Simple Interest
T = P + S.I
$10,000 = $12,100. + S.I
S.I = $12,100 - $10,000
S.I = 2100
Simple Interest = (Principal × Rate × Time) / 100
S.I = (P × R × T) / 100
2100 = (10000 × R × 7) / 100
2100 = 70000R / 100
2100 = 700R
R = 2100 / 700
R = 3
Thus, The annual interest rate is 3%
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a child enters a carousel that takes one minute to revolve once around. the child enters at the point ( 1 , 0 ) . assume the carousel revolves counter clockwise. what are the coordinates of the child after 75 seconds?
The coordinates of the child after 75 seconds on a carousel that revolves once every minute counter-clockwise, assuming the child entered at point (1,0), are (-0.766, -0.643).
Since the carousel revolves once around in one minute, its angular velocity is 2π/60 radians per second or π/30 radians per second.
Let's find the angle that the child has covered in 75 seconds.
angle = (angular velocity) x (time) = (π/30) x 75 = 2.5π
After 2.5π radians, the child has completed 2.5 full revolutions and is back at the starting point. Therefore, the coordinates of the child at point (1, 0) are (-0.766, -0.643).
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IF YOU HELP ME ILL MARK YOU THE BRAINLIEST AND DO WHATEVER YOU NEED JUST PLEASE HELP ITS URGENT
Step-by-step explanation:
Y = 4 is a horizontal line
other horizontal lines do NOT intersect
ALL vertical lines or lines with slope DO intersect :
y = x y = -x x = 3 x = 7 x = -3
Aija and John both have Only Fans pages in which they receive income based on the number of monthly subscriptions.
In 2022, Aija had 560 paid monthly subscribers, each paying $14. John earned $76,000, in the last 8 months of 2022, with each monthly subscriber paying $19. Who made more money in 2022 with their page? Who has more subscribers? What recommendations would you give to your peers who may be considering creating an Only Fans account?
Applying the SOLVE strategy
“S” - What is the problem asking you to find?
“O” - What facts are necessary for you to answer the problem?
“L” - What operations, steps, or plans can you use to obtain your answer?
“V” - Demonstrate your work by showing your steps.
“E” - Look at your answer. Does it make sense? Did you answer all parts of the problem?
Both Aija and John have Only Fans sites where they may earn money according to the amount of monthly subscribers; however, John's Only Fans page brought in more cash in 2022.
"S"-What is the issue requesting that you find?
The issue is that it wants to see who had more subscribers and made the most money in 2022 via their Just Fans page. We must also offer suggestions to people who are thinking about opening an Only Fans profile.
“O” - Which specific details are required for you to provide a solution?
We must contrast Aija and John's earnings to determine who earned more money. Also, we need to compare how many subscribers any of them had.
For Aija:
Number of paid monthly subscribers= 560
Monthly subscription fee =14
For John:
Total earnings in the last 8 months of 2022 =76000
Monthly subscription fee =19
"L"-What procedures, methods, or strategies may you employ to arrive at your conclusion?
We must figure out Aija and John's combined wages in 2022 in order to compare how much they will each make. We must contrast the amount of paid requirements apply each of them had in order to compare the total number of subscribers. Finally, we must offer advice to people who are thinking about opening an Only Fan account.
“V” - Demonstrate your work by showing your steps.
Total earnings for Aija:
14*560*12 months=940800
Total earnings for John:
76000/8 months=9500 per month
19*x=9500
x=500subscribers
Total subscribers for John =500*12=6000 subscribers
Total earnings for John =19*6000*12=1368000 subscribers
Therefore, John made more money in 2022 with his Only Fans page and also had more subscribers.
"E" – Consider your response. Do you understand it? Did you address every aspect of the issue?
Our response makes logic, so yes. Due to his increased membership cost and greater subscriber base, John made more money from Aija. We have addressed every aspect of the issue by contrasting the earnings of Aija and John as well as the numbers of members they both had.
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three randomly chosen seattle students were asked how many round trips they made to canada last year. their replies were 3, 4, 5. the geometric mean is group of answer choices 3.915 4.000 4.422 3.877
The Geometric mean of the number of Canada trips made by the three Seattle students is approximately 3.915.
The question states that three randomly chosen Seattle students were asked how many round trips they made to Canada last year, and their replies were 3, 4, and 5.
To calculate the geometric mean of a set of numbers, we need to multiply all the numbers together and then take the nth root of the product, where n is the total numb of numbers in the set. In this case, we have three numbers: 3, 4, and 5.
To find the geometric mean, we multiply these numbers together:
3 x 4 x 5 = 60
Then we take the cube root (since there are three numbers)
In the given student question, three randomly chosen Seattle students were asked how many round trips they made to Canada last year.
The task is to find the geometric mean of these values.
The geometric mean is calculated by multiplying all of the values together and then taking the nth root, where n is the number of values.
In this case, n = 3, so the formula for the geometric mean GeometricGeometric mean = (3 x 4 x 5)
Geometric mean ≈ 3.915
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help me please and thank you
help me pleaseeeeeeeeee!!!!!!!!
Answer:
4³, 8², and 2⁶ are all equivalent to 64¹
Answer:
A, C, F
Step-by-step explanation:
A. 4 x 4 x 416 x 4= 64
C. 8 x 8 = 64
F. 2x2=4x2= 8x2=16x2=32 x 2= 64
what percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer:
The percentage of compounds formed from this plant extract fell within two standard deviations of the mean, equal to 95.45%.
We tested an extract of a plant native to Taiwan as a possible treatment for leukemia. The amounts of collagen were found to be normally distributed with a mean = 62
standard deviation = 6.9 g/ml.
This is true for any normal distribution, regardless of the actual values of the mean and standard deviation.
The standard normal distribution is a normal distribution with mean zero and standard deviation 1. The standard normal distribution is centered around zero and the degree to which measurements deviate from the mean is represented by the standard deviation.
For a standard normal distribution, 68% of observations are within one standard deviation of the mean95% are within 2 standard deviations of the mean and 99.9% are within 3 standard deviations of the mean.Therefore, the required percentage is approx. 95.45% are within 2 standard deviations of the mean 62.
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Complete question:
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 62 and standard deviation of 6.9 grams per mililiter.What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?
Ally needs 90 meters of tape for a project. Tape comes in different size rolls. If she bought 50 meters, 22.86 meters, and an 18.288-meter roll, how much tape will she have in all? ___________ meters
Ally will have 91.148 meters of tape in all if Ally needs 90 meters of tape for a project.
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as addition, subtraction, multiplication, and division), as well as grouping symbols like parentheses.
Ally needs a total of 90 meters of tape for her project. She bought three rolls of tape, one with 50 meters, another with 22.86 meters, and the last one with 18.288 meters. To find the total amount of tape she has, she needs to add the length of all three rolls together.
Adding the length of the first two rolls, we get:
50 meters + 22.86 meters = 72.86 meters
Then adding the length of the third roll to the sum above, we get:
72.86 meters + 18.288 meters = 91.148 meters
Therefore, Ally will have 91.148 meters of tape in all.
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Find the missing dimension of the triangle.
Area = 32 m²
16 m
h
pls help I'll mark brainlisest
Answer:
4 m
Step-by-step explanation:
The formula to find the area of the triangle is:
[tex]\sf Area = \frac{1}{2} *base*height[/tex]
Given that,
Area = 32m²
Base = 16m
Height =?
Let us use the given formula to find the height of the triangle.
[tex]\sf Area = \frac{1}{2} *base*height\\\\\sf 32m^2 = \frac{1}{2} *16*h\\\\32= \frac{16h}{2} \\\\32=8h\\\\\frac{32}{8} =\frac{8h}{8} \\\\4m = height[/tex]
(7x²y³ + 4x³y² - y²) - (-2x³y² – 3x²y³ + 6y²)
Therefore , the solution of the given problem of expressions comes out to be the formula is 4x³y² + 10x²y³ - 7y².
What is an expression ?Instead of using estimates produced at random, it is better to use shifting integer variables that can be rising, reducing, or blocking. They could only help one another by sharing tools, information, or solutions to issues. The justifications, elements, and mathematical remarks for techniques like additional disapproval, manufacture, and mixture may be included in a statement of truth equation.
Here,
All terms enclosed in brackets must have their signs changed in order to subtract the equation from the first expression:
=> (7x²y³ + 4x³y² - y²) - (-2x³y² – 3x²y³ + 6y²)
=> 7x²y³ + 4x³y² - y² + 2x³y² + 3x²y³ - 6y²
We can now mix similar terms:
=> 4x³y² + 10x²y³ - 7y²
As a result, the formula is 4x³y² + 10x²y³ - 7y².
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can yall pls help me!!!!
Answer: (-3u + -3) -5
Step-by-step explanation:
Use distributive property
please help. i dont understand math
The value of x in the parallelogram is 10.
How to find the angle of a parallelogram?A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The sum of angles in a parallelogram is 360 degrees. The parallelogram JKPQ has the following angles.
Therefore,
m∠J = 2x + 10
m∠P = 3x - 20
Hence, the opposite angles of a parallelogram are congruent.
Therefore,
m∠J = m∠P
2x + 10 = 3x - 20
2x - 3x = -20 - 10
-3x = -30
divide both sides by -3
x = -30 / -3
x = 10
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Which of the choices shown is a correctly identified ordered pair? Responses A A = (2, 1)A = (2, 1) B none of these none of these C B = ( 1, 2)B = ( 1, 2) D C = (-1, -2)C = (-1, -2) E D = (-1, -2)
The ordered pairs in the quadrants are option A and option D:
A. A= (2, 1)
D. C = (-1, -2)
Define quadrants?The quadrant is the area that is bounded by the point where the X and Y axes connect. The cartesian plane's two axes, the X and Y axes, intersect at a 90° angle, forming four zones surrounding the intersection that are known as quadrants.
The points are given as:
A = (2, 1)
B = (1, 2)
C = (-1, -2)
D = (-1, -2)
Now, point A is in 1st quadrant so both the points will be positive.
So, A = (2, 1) is an ordered pair.
Now, B is in 2nd quadrant, so x coordinate will be negative and y coordinate will be positive.
B = (1,2) is hence not an ordered pair.
Now, C is in 3rd quadrant, so both the points will be negative.
C = (-1, -2) is an ordered pair.
Similarly, D is in 4th quadrant and x coordinate will be positive and y coordinate will be negative.
D = (-1, -2) is not an ordered pair.
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PLEASE HELP QUICK PLEASE
The value of x in the similar triangle is 9 units.
How to find mid segment of a triangle?The midsegment of a triangle is a line connecting the midpoints between two sides of a triangle. Therefore, the midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.
Hence,
9 / 72 = 3x - 20 / 56
cross multiply
9 × 56 = 72(3x - 20)
504 = 216x - 1440
504 + 1440 = 216x
1944 = 216x
divide both sides by 216
x = 1944 / 216
x = 9
Therefore,
x = 9
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write a comparison question that can be answered using the date on the bar graph (its for my little sister pls)
Answer:
Step-by-step explanation:
In mathematics and statistics, a bar graph is commonly employed. Bar graphs, generally referred to as bar charts, are graphic illustrations of grouped data. A bar graph is a graph that displays all of the data in the form of rectangular bars with heights proportionate to the values they represent. The graph’s bars can be depicted vertically or horizontally. The bars provide a visual representation of quantities in various categories.
Graphical Representation is a way of analyzing numerical data. It exhibits the relation between data, ideas, information, and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain. There are different types of graphical representation. Some of them are as follows:
Line Graphs – A line graph or linear graph is used to display continuous data and it is useful for predicting future events over time.
Bar Graphs – Bar Graph is used to display the category of data and it compares the data using solid bars to represent the quantities.
Histograms – The graph that uses bars to represent the frequency of numerical data that are organized into intervals. Since all the intervals are equal and continuous, all the bars have the same width.
Line Plot – It shows the frequency of data on a given number line. ‘ x ‘ is placed above a number line each time when that data occurs again.
Frequency Table – The table shows the number of pieces of data that falls within the given interval.
Circle Graph – Also known as the pie chart that shows the relationships of the parts of the whole. The circle is considered 100% and the categories occupied are represented with that specific percentage like 15%, 56%, etc.
Stem and Leaf Plot – In the stem and leaf plot, the data are organized from the least value to the greatest value. The digits of the least place values from the leaves and the next place value digit from the stems.
Box and Whisker Plot – The plot diagram summarises the data by dividing it into four parts. The box and whisker show the range (spread) and the middle ( median) of the data.
(9r³-73r² +64r +37)÷(r-7)
Dividing using box method
Show work
It should be noted that the quotient of the division is 9r^2 + 2r - 5 and the remainder is -5
How to solve the divisionIn this case, to solve this polynomial division, we can use either long division or synthetic division. Here, we'll use long division:
9r^2 + 2r - 5
___________________________
r - 7 | 9r^3 - 73r^2 + 64r + 37
- 9r^3 + 63r^2
--------------------
- 10r^2 + 64r
+ 10r^2 - 70r
----------------
-6r + 37
-6r + 42
--------
-5
Therefore, the quotient is 9r² + 2r - 5 and the remainder is -5. Therefore: (9r³-73r² +64r +37)÷(r-7) = 9r^2 + 2r - 5 + (-5)/(r-7).
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A repairman charges an inspection fee plus $28 per hour. A customer with a coupon for 20% off the inspection fee pays $96 for a 2-hour repair. How many hours are worked when a customer pays $162 without a coupon?
When a customer pays $162 without a coupon, the repairman worked for approximately 3.88 hours.
To solve the problem, we can use algebraic equations. Let x be the number of hours worked and let y be the inspection fee. Then, we have two equations:
y + 0.8y = 96 (the customer with the coupon pays $96 for a 2-hour repair)
y + 28x = 162 (the customer without the coupon pays $162)
Simplifying the first equation, we get:
1.8y = 96
y = 53.33
Substituting y into the second equation and solving for x, we get:
53.33 + 28x = 162
28x = 108.67
x = 3.88
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expand and simplify 2(x+7) + 3(x+1)
Answer:
[tex]5x + 17[/tex]
Step-by-step explanation:
[tex]2(x + 7) + 3(x + 1)[/tex]
Multiply every term inside the bracket by the term on the outside:
[tex]2x + 14 + 3x + 3[/tex]
Collect like terms:
[tex]5x + 17[/tex]
Answer:
[tex]\large\boxed{\tt 5x + 17}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to expand, and simplifying 2 expressions.}[/tex]
[tex]\textsf{We should understand what the question is asking from us first.}[/tex]
[tex]\large\underline{\textsf{What are Expressions?}}[/tex]
[tex]\textsf{Expressions are statements that are made up of 2 or more terms. Such expressions}[/tex]
[tex]\textsf{should incl\textsf{u}de an operation as well. (+, -, } \tt \times, \tt \div )[/tex]
[tex]\large\underline{\textsf{What is Expanding?}}[/tex]
[tex]\textsf{Expanding in Mathematics involves with the Distributive Property, where an}[/tex]
[tex]\textsf{expression is expanded to further simplify the expression.}[/tex]
[tex]\underline{\textsf{How are we able to expand expressions?}}[/tex]
[tex]\textsf{Expanding Expressions has to incl\textsf{u}de the Distributive Property.}[/tex]
[tex]\large\underline{\textsf{What is the Distributive Property?}}[/tex]
[tex]\boxed{\begin{minipage}{23 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses into the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{For this example, a will multiply with the terms b and c.}\end{minipage}}[/tex]
[tex]\textsf{Even though Distributive Property is mainly used for Distributing 1 term}[/tex]
[tex]\textsf{expressions, it's commonly used for distributing binomials as well, which involves}[/tex]
[tex]\textsf{the FOIL Method.}[/tex]
[tex]\large\underline{\textsf{What is the FOIL Method?}}[/tex]
[tex]\textsf{The FOIL Method is a very useful method that tells us step-by-step how to}[/tex]
[tex]\textsf{multiply 2 binomials. For any polynomial with 2 or more terms, apply the idea}[/tex]
[tex]\textsf{of the FOIL method, however using it more than once.}[/tex]
[tex]\underline{\textsf{FOIL Means;}}[/tex]
[tex]\textsf{F - Front Terms.}[/tex]
[tex]\tt ( \ \boxed{\tt x} + 1 )( \ \boxed{\tt x} - 1 )[/tex]
[tex]\textsf{O - Outer Terms.}[/tex]
[tex]\tt ( \ \boxed{\tt x} + 1 )( x - \boxed{\tt 1} \ )[/tex]
[tex]\textsf{I - Inside Terms}[/tex]
[tex]\tt (x + \boxed{\tt 1} \ )( \ \boxed{\tt x} - 1 )[/tex]
[tex]\textsf{L - Last Terms.}[/tex]
[tex]\tt (x + \boxed{\tt 1} \ )( x - \boxed{\tt 1} \ )[/tex]
[tex]\large\underline{\textsf{What is Simplifying?}}[/tex]
[tex]\textsf{Simplifying anything related to mathematics means to reduce, and to make the}[/tex]
[tex]\textsf{final answer much simpler and clean.}[/tex]
[tex]\underline{\textsf{What are some ways that we can Simplify?}}[/tex]
[tex]\textsf{Combining Like Terms,}[/tex][tex]\textsf{Distributive Property,}[/tex][tex]\textsf{Reducing Radicals/Fractions.}[/tex][tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{We are given 2 expressions where we should use the Distributive Property to}[/tex]
[tex]\textsf{expand both of the expressions. Lastly, simplify the expression by combining any}[/tex]
[tex]\textsf{like terms necessary.}[/tex]
[tex]\tt 2(x+7) + 3(x+1)[/tex]
[tex]\underline{\textsf{Use the Distributive Property;}}[/tex]
[tex]\tt 2(x+7) = (2(x)) + (2(7)) = 2x+14[/tex]
[tex]\tt 3(x+1) = (3(x)) + (3(1)) = 3x+3[/tex]
[tex]\tt 2(x+7) + 3(x+1) = 2x+14+3x+3[/tex]
[tex]\underline{\textsf{Combine Like Terms;}}[/tex]
[tex]\tt \boxed{\tt 2x} + 14 + \boxed{\tt 3x} + 3[/tex]
[tex]\tt 5x + \boxed{\tt 14} + \boxed{\tt 3}[/tex]
[tex]\large\boxed{\tt 5x + 17}[/tex]
Sean has 14 friends n are in grade 7 and 9 are in grade 8 what is the equation
Answer:
n+9 = 14
Step-by-step explanation:
Let's Sean friends in grade 7 be n.
Then In grade 8, 9 persons are there.
Equation: n+9 = 14.
n = 14-9 = 5.
what element is defined by the following information? p = 17 n° = 20 e- = 17
The element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).
An atom consists of protons, neutrons, and electrons. The atomic number of an element corresponds to the number of protons present in the nucleus of an atom. Hence, the atomic number (p) of the given element is 17. A neutral atom contains an equal number of protons and electrons.
Therefore, the number of electrons (e-) of the given element is 17 as well. The number of neutrons (n°) can be calculated as the difference between the atomic mass number (A) and the atomic number (p).
In the case of the given element, the atomic number is 17, and the atomic mass number is 37 (as chlorine has two stable isotopes of mass numbers 35 and 37). Hence, n° = 37 - 17 = 20. Therefore, the element defined by the given information p = 17 n° = 20 e- = 17 is Chlorine (Cl).
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Find the quotient. Write your answer in descending order with respect to the power of h.
(4h²+6h²-3)÷2h/3
Answer: 15h
Step-by-step explanation:
A cylinder has a base radius of 10m and a height of 18m. What is its volume in
cubic m, to the nearest tenths place?
Answer: 5654.9
Step-by-step explanation:
V=pi*r^2*h
r=10
h=18
V=pi*10^2*18
V=pi*100*18
V=pi*1800
V=5654.866776
tenths place:
V=5654.9
Can you help me find the answer
Answer:
a Obtuse b 136 girls c Hockey d 16.7
Step-by-step explanation:
50a obtuse
b 136 girls
c Hockey
d [tex]\frac{60}{360} *100\\=16.6667...\\16.7[/tex]
Pls Help!!
Find m/ABC if BD is an angle bisector.
Answer:
[tex]\large\boxed{\tt \angle ABC = 146^{\circ}.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for} \ \tt \angle ABC. \ \textsf{We are given that} \ \overrightarrow{\tt BD} \ \textsf{is an \underline{Angle Bisector}.}[/tex]
[tex]\large\underline{\textsf{What are Angle Bisectors?}}[/tex]
[tex]\textsf{Angle Bisectors are \underline{Line Segments} that bisect a full angle into 2 congruent angles.}[/tex]
[tex]\textsf{Think of Angle Bisectors as cutting something into half, both pieces will be congruent.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Because} \ \overrightarrow{\tt BD} \ \textsf{is an Angle Bisector, then} \ \angle \tt ABD \cong \angle CBD. \ \textsf{This will mean that both}[/tex]
[tex]\textsf{angles are \underline{congruent} to each other, hence their measures are the same.}[/tex]
[tex]\tt 4a+13=7a-32[/tex]
[tex]\textsf{Let's begin solving for a, afterwards we should substitute a back into} \ \tt \angle ABD, \ \textsf{multiply}[/tex]
[tex]\textsf{the angles' measure by 2 since} \ \tt \angle CBD \cong \angle ABD, \ \textsf{then we are able to identify the}[/tex]
[tex]\textsf{measure of} \ \tt \angle ABC.[/tex]
[tex]\underline{\textsf{Find the value of a;}}[/tex]
[tex]\tt 4a+13=7a-32[/tex]
[tex]\underline{\textsf{Subtract 7a from both sides of the equation;}}[/tex]
[tex]\tt 4a-7a+13=7a-7a-32[/tex]
[tex]\tt -3a+13=-32[/tex]
[tex]\underline{\textsf{Subtract 13 from both sides of the equation;}}[/tex]
[tex]\tt -3a+13-13=-32-13[/tex]
[tex]\tt -3a=-45[/tex]
[tex]\underline{\textsf{Divide both sides of the equation by -3;}}[/tex]
[tex]\large\boxed{\tt a=15}[/tex]
[tex]\underline{\textsf{Substitute 15 back into} \ \tt \angle ABD;}[/tex]
[tex]\tt \angle ABD = 4(15) + 13[/tex]
[tex]\tt \angle ABD = 73^{\circ}[/tex]
[tex]\underline{\textsf{Multiply} \ \tt \angle ABD \ \textsf{by 2;}}[/tex]
[tex]\tt \angle ABD \ + \ \angle CBD= 73^{\circ} \times 2[/tex]
[tex]\tt \angle ABD \ + \ \angle CBD= 146^{\circ}[/tex]
[tex]\textsf{146}^{\circ} \ \textsf{represents the value of} \ \tt \angle ABC.[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\large\boxed{\tt \angle ABC = 146^{\circ}.}[/tex]
if team a is the underdog in playing team b and has probability 1/4 of winning every game it plays against team b. what is the probability that it wins the best-of-three series over team b? (prefer to put answer as the simplest form of fraction, like 1/2 rather than 2/4)
The probability that team A wins the best-of-three series over team B is 3/16.
If team A is the underdog and has a probability of 1/4 of winning every game it plays against team B,
The probability that it wins the best-of-three series over team B :
Let us first begin by determining the probability of team A winning two games in a row. Since each game is independent, we can use multiplication to calculate the probability of winning two games in a row:
P(Team A wins 2 in a row) = P(Team A wins Game 1) x P(Team A wins Game 2)
Using the probability given in the problem, we can substitute:
P(Team A wins 2 in a row) = (1/4) x (1/4) = 1/16
Now we must determine the probability of team A winning two games in the series. There are three ways that Team A could win the series:
Winning the first two games;
Winning the second two games;
Winning the first and third games.
Assuming that each of these scenarios is equally probable, the probability of team A winning the series is the sum of the probabilities of these scenarios:
P(Team A wins series) :
= P(Team A wins first two games) + P(Team A wins second two games) + P(Team A wins first and third games)P(Team A wins series)
= (1/16) + (1/16) + (1/16)P(Team A wins series)
= 3/16
Therefore, the probability that team A wins the best-of-three series over team B is 3/16.
For similar question on probability:
brainly.com/question/31130413
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will mark u brainliest!!!
Answer:
It really just deleted my answer..
Solve.
4p^2 - 50 = 350
O {-100, 100}
O {-400, 100}
O {-10, 10}O {-10, 100}
Step-by-step explanation:
You're welcome.
A kite is flying 86 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 56 degrees . Find the length of the string. Round your answer to the nearest tenth.
Divide 15x5-3x³-9x² by -3x².
choices:
12x³ - 6x - 12
-5x³ - 6x + 3
−5x3 + X + 3
-5x³ + x-3
Answer:
(C) −5x^3 + x + 3.
Step-by-step explanation:
To divide 15x^5 - 3x^3 - 9x^2 by -3x^2, we can follow these steps:
Divide the coefficient of the first term by the coefficient of the divisor: (-15x^5) / (-3x^2) = 5x^3.
Multiply the divisor by the quotient obtained in step 1: -3x^2 * 5x^3 = -15x^5.
Subtract the product obtained in step 2 from the dividend: 15x^5 - (-15x^5) = 30x^5.
Repeat steps 1 to 3 for the next term: (-3x^3) / (-3x^2) = x, -3x^2 * x = -3x^3, -3x^3 - (-3x^3) = 0.
Repeat steps 1 to 3 for the last term: (-9x^2) / (-3x^2) = 3, -3x^2 * 3 = -9x^2, -9x^2 - (-9x^2) = 0.
Therefore, the result of the division is:
5x^3 + 0x + 3
Simplifying the expression, we get:
5x^3 + 3
Therefore, the correct answer is (C) −5x^3 + x + 3.
Answer:
C:−5x3 + X + 3
Step-by-step explanation:
I took the test and got it right