Answer:
Divide each term in 6x=−7 by 6 and simplify.
Step-by-step explanation:
Exact Form:
x=−7/6
Decimal Form:
x=−1.1¯6
Mixed Number Form:
x=−1 1/6
Answer:
x = - 7/6
Step-by-step explanation:
First, divide both sides of the equation by the same term:
6x = - 7
6x/6 = -7/6
Then simplifly and you'll get your answer! ( I won't show how to simplify but if you want to know tell me!)
x = - 7/6
A television station shows 3 commercials every 12 minutes. At that rate, how many commercials will the station show in 60 minutes?
Answer:
zqxwsecdvrfr
Step-by-step explanation:
Square of the difference of two terms
Answer:
123-23=100
100^2=100*100=10^4=10000
Explain why the foil method is a valid method.
The foil method is an effective method because you are able to successfully remember the other at which you multiply the brackets to open them using F.O.I.L, so its not only easy to remember but very good to use for quadratic, cubic and to an extent, polynomials.
The FOIL Method stands for First Outer Inner Last. This is a standard method for multiplying two binomials together. It is also a valid method for solving quadratic equations and simplifying expressions.
The FOIL method is a valid method because it helps to simplify complicated expressions, and it is easy to use. It is used to multiply two binomials together.
By following the steps, the user can easily find the product of two binomials. The steps are as follows:
First, multiply the First term of each binomial.Second, multiply the Outer terms of each binomial. Third, multiply the Inner terms of each binomial. Finally, multiply the Last term of each binomial. Add the four products together to get the final answer.The FOIL method is valid because it helps to simplify expressions by breaking them down into smaller parts. This makes it easier to see how the parts relate to each other and how they combine to create the final expression. It is a straightforward method, and it is easy to use.
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The product of 20 any y (Pls i need help in this)
Answer:
Step-by-step explanation:
20y
Meaning 20xy
Y=1
So 20 is 20
Is 40/1000 and 40% an equivalent pair
Answer:
No
Step-by-step explanation:
40/1000 is 4%
Answer:
no, it would be equivalent if it was 4%
Step-by-step explanation:
y=-2x+10 through 3,-1
Answer:
dawdaw
Step-by-step explanation:
dawda
on what issues did the reformer ignatius of loyola focus
Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.
These issues can be broadly categorized into spiritual, educational, and institutional reforms.
Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.
Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.
Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.
Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.
Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.
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21 = -3c + 7 -5c -2
i need help with this multi step equation question
Answer:
c=-2
Step-by-step explanation:
Can someone help me please
Answer:
one solution
Step-by-step explanation:
Answer:
This mean the line intersect at one point the y-intercpt. recall that interscecting line have one solution and therefore the system is consistent. Beacuse the line are not the same, but equations are independent.
Step-by-step explanation:
i hope his help =)
At Fenway park, they sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less dogs. How many hot dogs should they sell to maximize profit?
Answer:
4,100
Step-by-step explanation:
Let x be increase in the price % and f(x) be revenue
Revenue = Sales price*Total number hot dog sold
Hot dog sold = $4/dog
Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)
f(x) = 2000 - 800x + 1250x - 50x^2
f(x) = -50x^2 + 450x + 2000
To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0
f1(x) = -100x + 450
0 = 0100x + 450
x = 4.5
Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)
= 5000 - 900
= 4100
Thus, the number of hot dog sold = 4,100
An elementary school is offering 3 language classes one in spanish one in french, if 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
The probability that atleast one students is taking a language class is 0.7
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Let :
Spanish = S ; French = F ; German = G
SnFnG = 3
(SnF) only = 9 - 3 = 6
(SnG) only = 5 - 3 = 2
(FnG) only = 5 - 3 = 2
S only = 28 - (6+3+2) = 17
F only = 21 - (2+3+2) = 14
G only = 12 - (6+3+2) = 1
Student not taking any of the classes are;
(100 - (17+14+1+2+2+6+3))
100 - 45 = 55
Atleast 1 is taking a language class out of 2 selected
The probability that atleast one students is taking a language class :
(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)
= 0.7
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How can i make a geometric shape with 100 points
To make a geometric shape with 100 points, there are many options depending on the desired shape.
There are many possible geometric shapes you can make with 100 points, depending on the specific constraints and requirements you have. Few examples are,
Circle: One way to create a circle with 100 points is to evenly distribute the points around the circumference of a circle with a given radius.
Square: Another option is to create a square with 100 points. To do this, you can divide the sides of the square into 25 segments, and then place 4 points at each segment endpoint.
Regular polygon: You can create a regular polygon with 100 sides by following a similar method to the circle.
Spiral: You can create a spiral shape with 100 points by placing the points along a logarithmic spiral.
Fractal: Finally, you can create a fractal shape with 100 points by applying a recursive algorithm to divide and subdivide segments of an initial shape.
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Choose <,> or = to make a true statement 0.5 9/18
Answer:
=
Step-by-step explanation:
0.5 is half and 9/18 is half
How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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at 3 am the temperature was 43. at 7:30 pm it's 56. explain mathematically how you know the temperature is 48 at least once during the day
The temperature was 48° at least once throughout the day as the temperature rises from 43° to 56° and 43° < 48° < 56° .
The temperature was 43° at 3 PM and it rises to 56° at 7.30 PM.
So we know that the rise of temperature in linear , hence the temperature will follow the rule of real numbers. Hence the temperature will increase through all the possible numbers between 43 and 56
Again 43° < 48° < 56° , so at least once the temperature will be 48 ° .
You can think about integers as either independent objects or as a tool for problem-solving. The study of analytical objects (such as the Riemann zeta function) that somehow encode features of integers, primes, or any other number-theoretic objects is often the best method for understanding number theory issues (analytic number theory).
Most people refer to number theory as arithmetic. By the turn of the 20th century, "numerical theory" had taken its place. (The term "arithmetic" is usually used to refer to "elementary computations," but it has come to signify more concepts in mathematical logic and computer technology, such as floating-point arithmetic.)
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A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.
Answer:
Hence doubling the dimension gives a volume greater than doubling the original volume.
Step-by-step explanation:
Given The dimension :
Original dimension : 6 meters by 5 meters by 12 meters
Volume of original dimension :
6 * 5 * 12 = 360 m³
If dimension is doubled :
2 * 6 = 12
2 * 5 = 10
2 * 12 = 24
Volume = (12 * 10 * 24) = 2880 m³
2 * original volume = 2 * 360 = 720 m³
Hence doubling the dimension gives a volume greater than doubling the original volume.
Calculate the price of a five-year bond that has a coupon rate of 7.0 percent paid annually. The current market rate is 4.50 percent. (Round answer to 2 decimal places, e.g. 5,275.25.
The price of the bond is $1,043.98 (rounded to 2 decimal places).
To calculate the price of a five-year bond that has a coupon rate of 7.0% paid annually and a current market rate of 4.50%, we need to use the formula for the present value of a bond. A bond's value is the present value of all future cash flows that the bond is expected to produce. Here's how to calculate it:
Present value = Coupon payment / (1 + r)^1 + Coupon payment / (1 + r)^2 + ... + Coupon payment + Face value / (1 + r)^n
where r is the current market rate, n is the number of years, and the face value is the amount that will be paid at maturity. Since the coupon rate is 7.0% and the face value is usually $1,000, the coupon payment per year is $70 ($1,000 x 7.0%).
Here's how to calculate the bond's value:
Present value = \($\frac{\$70 }{(1 + 0.045)^1} + \frac{\$70}{(1 + 0.045)^2 }+ \frac{\$70}{ (1 + 0.045)^3} + \frac{\$70}{ (1 + 0.045)^4 }+ \frac{\$70}{(1 + 0.045)^5} + \frac{\$1,000}{ (1 + 0.045)^5}\)
Present value = $1,043.98
Therefore, The bond costs $1,043.98 (rounded to two decimal places).
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The radius of a circle is increasing at a rate of 8 centimeters per minute. Find the rate of change of the area when the radius is 2 centimeters. Round your answer to one decimal place.
The rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.
To find the rate of change of the area of a circle when the radius is 2 centimeters, we need to use the formula for the area of a circle, which is \(A = πr^2.\)
We know that the radius is increasing at a rate of 8 centimeters per minute, so we can use this information to find the rate of change of the area.
We can start by finding the area of the circle when the radius is 2 centimeters. Substituting r = 2 into the formula, we get:
A = π(2)^2
A = 4π
So the area of the circle is 4π square centimeters when the radius is 2 centimeters.
Now, let's find the derivative of the area with respect to time. Using the power rule of differentiation, we get:
dA/dt = 2πr (dr/dt)
Substituting r = 2 and dr/dt = 8, we get:
dA/dt = 2π(2)(8)
dA/dt = 32π
So the rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute. To round this to one decimal place, we can use a calculator to get:
dA/dt ≈ 100.5
Therefore, the rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.
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Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, how many days
would it take him to complete 208 problems?
A.26 days
B.13 days
C.12days
D.8days
Answer:
8 problems per day for 12 of the days and 9 problems per day for 24 of the days
Step-by-step explanation:
It would take him 26 of the days to complete 208 problems.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, then;
Using unitary method;
8 problems per day for 12 of the days
Therefore, 9 problems per day for 24 of the days.
Hence, the 208 practice problems = 26 days.
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Tell whether the given value is a solution of the inequality
How should the values below be reported? 25.09874±0.0793
The value should be reported as follows:
25.1 ± 0.1
In this case, the value has been rounded to the same decimal place as the uncertainty, which is the first decimal place. The uncertainty is rounded to one significant figure to reflect the precision of the measurement. The value is reported with one decimal place, which is the same as the uncertainty, to maintain consistency.
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The table shows the parts of powder and water used to make gelatin.
Boxes of Gelatin Powder (oz) Water (cups)
3 9 6
8
At this rate, how much powder and water will Jeff use to make 8 boxes of gelatin?
Jeff will use 24 oz of powder and 16 cups of water.
Jeff will use 16 oz of powder and 21 cups of water.
Jeff will use 14 oz of powder and 11 cups of water.
Jeff will use 16 oz of powder and 24 cups of water.
The correct answer is: Jeff will use 8 oz of powder and 24 cups of water to make 8 boxes of gelatin.
To determine the amount of powder and water Jeff will use to make 8 boxes of gelatin, we need to find the pattern in the given table. By examining the table, we can see that for every 3 boxes of gelatin powder (oz), 9 cups of water are used. This implies that the ratio of powder to water is 3:9, which can be simplified to 1:3.
Since Jeff wants to make 8 boxes of gelatin, we can multiply the ratio by 8 to find the corresponding amounts of powder and water.
For the powder, we have:
1 part (powder) * 8 (number of boxes) = 8 parts of powder.
Therefore, Jeff will use 8 oz of powder.
For the water, we have:
3 parts (water) * 8 (number of boxes) = 24 parts of water.
Therefore, Jeff will use 24 cups of water.
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explain briefly how the statistic can be used to make inferences about the parameter to test the claim
In statistics, we use samples to make inferences about population
That is the great advantage of the whole role of distribution. Once you know a particular situation or experiment, that you can associate to one specific distribution and compute parameters, you can obtain from a relative smaller quantity of data and with good approximation, inferences about the whole population.
Statistical inference is the method of using data analysis to infer characteristics of a probability distribution.
Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.
statistics
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
positive
Step-by-step explanation:
the points are going upwards on the graph
9. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is
most appropriate.
Temperatures of the ocean at various depths.
O Nominal
O Ratio
O Ordinal
O Interval
Answer: D (Interval)
What is the most common error when entering a formula is to reference the wrong cell in the formula?
The most common error when entering a formula is to reference the wrong cell in the formula.
This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.
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how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?
Answer: 16
Step-by-step explanation:
five times a number, n, subtracted from 100
Answer:
100 - 5n
Step-by-step explanation:
100 - 5n
Hope this helps!
Jasmine and 4 friends moved 23 pounds of dirt. Each friend moved the same amount of dirt. How much dirt did each friend move?
( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )
Answer:
Step-by-step explanation:
\(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }\)