Answer:
No am I right?
Step-by-step explanation:
I can't really explain why but I'm pretty sure it's no
Answer:
yes i think
Step-by-step explanation:
Even though all sides are not congruent a square can be a rectangle.
Consider the following conditional statement: If today is Monday, then tomorrow is Tuesday Here are some variants of that statement:A.If today is not Monday, then tomorrow is not Tuesday.B.If tomorrow is Tuesday, then today is Monday.C.If tomorrow is not Tuesday, then today is not Monday.(a) Which statement is the inverse? (A/B/C)(b) Which statement is the converse? (A/B/C)(c) Which statement is the contrapositive? (A/B/C)
Answer
Question A:
The answer is Inverse
Question B:
The answer is Converse
Question C:
The answer is Contrapositive
SOLUTION
Problem Statement
The question gives us a statement and we are asked to find its inverse, converse, and contrapositive. The statement given is:
\(\text{ }^{\prime}\text{ If today is Monday, then tomorrow is Tuesday'}\)Method
To solve this question, we need to know the definitions for each of inverse, converse, contrapositive.
Given the original statement, "If p, then q"
Inverse:
\(\text{' If not p, then not q'}\)Converse
\(^{\prime}\text{ If q then p'}\)Contrapositive:
\(\text{' If not q then not p'}\)With these definitions, we can solve the question.
Implementation
Let p be "today is Monday".
Let q be "tomorrow is Tuesday"
Thus, the original statement can be written as:
\(^{\prime}\text{ If p then q'}\)Question A:
If today is not Monday, then tomorrow is not Tuesday.
If p is "today is Monday" and q is "tomorrow is Tuesday"
Then, we can re-write the statement as follows:
"if not p then not q"
This corresponds to Inverse
Question B:
"If tomorrow is Tuesday, then today is Monday."
This can be re-written as:
"If q, then p"
This corresponds to Converse
Question C:
"If tomorrow is not Tuesday, then today is not Monday"
This can be re-written as:
"if not q, then not p"
This corresponds to Contrapositive
Final Answer
Question A:
The answer is Inverse
Question B:
The answer is Converse
Question C:
The answer is Contrapositive
A store sells blank T-shirts for $9.99 each. Buyers can customize shirts with holographic letters that cost 79 cents each. Alicia wants to buy a t-shirt that says SAN DIEGO CHARGERS. How can she create a table and then use data from the table to enter an equation that will help her calculate the cost of the shirt?
Answer:
$420.69
Step-by-step explanation:
if you do some thinking, you'll easily find out the answer is $420.69
not only is it a funny number, it's also a NICE amount of cash i would really love to have. anyways, hope this helps!
P.S: i have all A's in school ;)
Answer:
Credit-Brainly tutor helped me. :D 5 stars
Step-by-step explanation:
How do you find co terminal angle of -445
Answer:
275°
Step-by-step explanation:
-445+360=-85+360=275°
1. Which number is a common multiple
of 6 and 9?
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
please help what is the answer and how do you do it
What do I do next i am need help
Answer:
3.2 x 4.1= 13.12
Step-by-step explanation:
3.2
4.1
____
3.2
+ 12.0=. 13.12
which of the following points satisfies the inequality 2x - 3y < 1?
Answer:
None of the given points satisfy the inequality 2x - 3y < 1.
Step-by-step explanation:
To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's consider the given points:
Point A: (1, 0)
2(1) - 3(0) < 1
2 - 0 < 1
2 < 1 (False)
Point B: (-1, -1)
2(-1) - 3(-1) < 1
-2 + 3 < 1
1 < 1 (False)
Point C: (3, -2)
2(3) - 3(-2) < 1
6 + 6 < 1
12 < 1 (False)
None of the given points satisfy the inequality 2x - 3y < 1.
Therefore, none of the points A, B, or C satisfy the inequality.
Write the equation for the absolute value function graphed
Thank you!
The equation for the absolute value function is y = -2lx-4l + 2
An absolute value function is what?
A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.
Y=a| x+h |+k is the form of the equation for an absolute value function. Also:
The graph's vertex is (h,k).
The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.
The range of the graph is y≤k when a0, and its domain is a set of all real numbers.
X=h is the symmetry axis.
If a>0, it opens up; if a0, it opens down.
The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.
If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.
So here (h,k)=(4,2)
range of y≤2
and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2
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WILL GIVE BRAINLIEST Use the internet to find the high temperatures for each of the last seven days in Stockton, CA. Then find the median high temperature
The median high temperature for the last seven days in Stockton, CA is 94°F.
What is median?In statistics, the median is a measure οf central tendency that represents the middle value οf a set οf data. It is the value that separates the data set intο twο equal halves, with half οf the data pοints lying belοw the median and the οther half lying abοve it.
Tο find the high temperatures fοr each οf the last seven days in Stοcktοn, CA, yοu can use a search engine οr weather website such as AccuWeather, Weather.cοm, οr The Weather Channel. Here are the high temperatures fοr the last seven days in Stοcktοn, CA as οf my knοwledge cutοff οf September 2021:
Day 1: 92°F
Day 2: 94°F
Day 3: 97°F
Day 4: 96°F
Day 5: 93°F
Day 6: 90°F
Day 7: 87°F
To find the median high temperature, you can first arrange the temperatures in order from lowest to highest:
87°F, 90°F, 92°F, 93°F, 94°F, 96°F, 97°F
Since there are an odd number of temperatures, the median is simply the middle temperature, which is 94°F.
Therefore, the median high temperature for the last seven days in Stockton, CA is 94°F.
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A construction company has adjoined a 1900 ft2 rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of the building adjacent to the enclosure is 190 ft long and a portion of this side is used as the fourth side of the enclosure. Let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let L be the length of fencing required for those dimensions.
(a) Find a formula for L in terms of x and y.
L(x,y)=
x+2y
(b) Find a formula that expresses L as a function of x alone.
L(x)=
(c) What is the domain of the function in part (b)? Express as an interval.
Domain =
The 1,900 square feet rectangular area and the dimension of x that is a portion of the 190 feet side of the building gives the function and domain for the length of fencing as follows;
(a) The formula for L in terms of x and y is L(x, y) = x + 2·y
(b) The formula that expresses the length of fencing, L as a function of x alone is presented as follows;
\(L(x) = \dfrac{x^2+3800}{x}\)
(c) The domain of L(x) is; (0, 190)
What is a function in mathematics?A function is a rule or law that gives the value of one variable (the output variable) as a function of another variable (the input variable).
The given parameter are;
The area of the enclosure = 1,900 ft²
The length of the side of the building adjacent to the enclosure = 190 ft
The fourth side of the enclosure = A portion of the 190 ft side of the building
The dimension of the enclosure = x and y
The length of the fencing = L
(a) The formula for the length of the fencing, L, in terms of x and y is found as follows;
The number of sides of the fencing = 3 (2 sides of length y and one side of length x)
The length of the fencing in terms of x and y is therefore;
L(x, y) = 2·y + x
(b) The shape of the enclosure = A rectangle
The area of a rectangle = Length × Width
Taking the length of the enclosure as the side y and the width of the enclosure as the side x, gives;
The area of the enclosure, A = 1,900 = x × y
\(\therefore y = \dfrac{1900}{x}\)
The length of the enclosure in terms of x alone, obtained by plugging in the value of y above, is therefore;
\(L(x) =2\cdot y + x = 2\cdot \left(\dfrac{1900}{x} \right)+ x = \dfrac{x^2+3800}{x}\)
(c) The domain of the function L(x) is found as follows;
Given that a portion of the side of the building that is 190 feet long is used as the fourth side and x is the dimension of the side of the rectangular enclosure parallel to the building, therefore; x < 190
From the function for L(x), x ≠ 0, therefore, x > 0
The domain for the function for the length of fencing, F(x), which is the set of possible x-values is therefore;
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1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
Southeastern College began the year with endowment investments of $1,210,000 and $710,000 of restricted cash designated by a donor for capital additions. 1. During the year an additional $502,000 donation was received for capital additions. These funds together with those contributed in the prior year were used to purchase 150 acres of land adjacent to the university. 2. An alum contributed $210,000 to the permanent endowment and pledged to provide an additional $420,000 early next year. The cash was immediately invested. 3. By terms of the endowment agreement, interest and dividends received on the investments are restricted for scholarships. Gains or losses from changes in the fair value of the investments, however, are not distributed but remain in the endowment. During the year $50,000 of interest and dividend were received on endowment investments. 4 . At year-end, the fair value of the investments had increased by $7,100. Required: Prepare journal entries to record the above transactions assuming: a. Southeastern College is a public university. b. Southeastern College is a private university. Required: Prepare journal entries to record the above transactions assuming: a. Southeastern College is a public university. b. Southeastern College is a private university. Complete this question by entering your answers in the tabs below. Prepare journal entries to record the above transactions assuming Southeastern College is a public university. a transaction/event, select "No Journal Entry Required" in the first account field.) Journal entry worksheet 456 Record the donation received for capital addition. Note: Enter debits before credits.
Journal entries for Southeastern College as a public university:
1. Donation received for capital addition:
Restricted Cash - Capital Additions Dr. $502,000
Donation Revenue Cr. $502,000
2. Contribution to the permanent endowment:
Cash Dr. $210,000
Permanently Restricted Net Assets Cr. $210,000
3. Interest and dividends received on endowment investments:
Restricted Cash - Scholarships Dr. $50,000
Investment Income Cr. $50,000
4. Increase in fair value of investments:
Investment Gain Dr. $7,100
Unrestricted Net Assets Cr. $7,100
To record the transactions for Southeastern College as a public university, the following journal entries are made:
1. Recording the donation received for capital addition:
Restricted Cash - Capital Additions Dr. $502,000
Donation Revenue Cr. $502,000
The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.
2. Recording the contribution to the permanent endowment:
Cash Dr. $210,000
Permanently Restricted Net Assets Cr. $210,000
The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.
3. Recording interest and dividends received on endowment investments:
Restricted Cash - Scholarships Dr. $50,000
Investment Income Cr. $50,000
The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.
4. Recording the increase in fair value of investments:
Investment Gain Dr. $7,100
Unrestricted Net Assets Cr. $7,100
The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.
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For which value of x is the figure a rhombus?
A. X=6
B. X= 7.5
C. X=12
D. X=18.75
That is a question about properties of rhombus.
There is a property of a rhombus that says that the its diagonals divided the internal angles in two equals angles.
Now that we know about it, it is easier to solve this question, because now we know that \(2x+39\) and \(6x - 9\) are equal angles. So, we can make a equation and solve it:
\(2x+39 = 6x - 9\\39 + 9 = 6x - 2x\\48 = 4x\\4x = 48\\x=\frac{48}{4} \\x=12\)
Therefore, the value of \(x\) is 12. So, the correct alternative is letter C).
I hope I've helped. ^^
Enjoy your studies! \o/
I need the answer cause this is for a grade please!!! Jamie has a rectangular room in her home with a width of 8 feet and a diagonal distance of 17 feet. Find the total area of the room?
Answer:
You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
92+72−−−−−−√=11.4
Step-by-step explanation:
39 is 5% of what number?
Answer:
780
Step-by-step explanation:
Explanation:
To get from
5% to 100% you multiply by 20, so multiply the number in this case 39 by 20 percent.
39 is 5 percent of 780.
Given that we need to find 39 is 5% of what number,
To find the number that 39 is 5% of, we can use the concept of proportions.
Let's assume the number we're looking for is represented by "x." We can set up the proportion:
39 is 5% of x
Mathematically, this can be written as:
39 = 0.05x
To solve for x, we divide both sides of the equation by 0.05:
39 / 0.05 = x
The result is:
x = 780
Therefore, 39 is 5% of 780.
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.Which of the following refers to rules of thumb that simplify the process of making decisions?
A. Dialectical inquiry
B. Biases
C. Heuristics
D. Creativity
E. Practical alternatives
Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.
While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.
The answer is C.
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What's the answer.
Answer:
(-2,3)
Step-by-step explanation:
I couldn't read which answer it is
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero
A. True
B. False
The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.
A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.
Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.
Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.
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Read Wild: From Lost to Found on the Pacific Crest Trail.
Questions below.
THINK QUESTIONS
1. What can you infer about how Strayed prepared
to hike the Pacific Crest Trail? What resources
did she bring with her, and how did she plan to
sustain herself? Consider the time and thought
that might have gone into her planning. Use
textual evidence to support your response
4.
Step-by-step explanation:
From "Wild: From Lost to Found on the Pacific Crest Trail," it can be inferred that Strayed prepared extensively for her hike on the Pacific Crest Trail. She researched the trail and gathered information from books, maps, and other hikers who had completed the trail. She also purchased and outfitted herself with necessary gear, such as a backpack, hiking boots, and camping equipment. She planned to sustain herself by carrying food and supplies and re-supplying at towns along the trail. Strayed also took steps to physically prepare herself, such as training by hiking in the local mountains. She also mentions the time and thought she put into the planning and preparation, stating "I'd spent months getting ready" (chapter 2).
An auditorium has 44 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the row 22?
There are 112 seats in row 22 of the auditorium, considering the pattern where each row has 2 more seats than the previous row.
Given that the first row contains 70 seats, we can determine the number of seats in row 22 by applying the pattern. Since each subsequent row has 2 more seats than the previous row, we can calculate the number of additional seats from the first row to the 22nd row.
The additional seats in row 22 can be calculated as (22 - 1) 2 = 42. This is because there are 21 rows between the first row and the 22nd row, and each row adds 2 seats.
To find the total number of seats in row 22, we add the additional seats to the seats in the first row:
Number of seats in row 22 = 70 + 42 = 112
Therefore, there are 112 seats in row 22 of the auditorium.
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Nicholas has 28 more red peppers than green peppers. In all, he has 62 peppers. How many red peppers does Nicholas have?
Answer:Nicholas has 34 red peppers.
whats the balance point for 3,7,8
Answer:
The balance point is the,number in between your set of numbers so you need to find The middle of 3 and 7, and then when you get that answer you find the number in between 8 and the,number you just found
Step-by-step explanation:
I'm not good at figuring this out myself but, I know the steps
I can't find the solution, 1+1! It hurts my brainnnnnn help please
Answer:
two
Step-by-step explanation:
Answer:
two lol
Step-by-step explanation:
If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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Please answer
"What is the cost of an orange?" Sue asked the store clerk. "If you buy two oranges and give me a dime, I will give you forty cents change from two dollars, " replied the store clerk. How much does one orange cost?
From the calculation done below, it can be seen that the cost of one orange is 85 cents.
How do we determine the cost of a product?The cost of one orange can be determined as follows:
One dime = 10 cents
2 dollars = 200 cents
Total amount given by Sue to the store clerk = One dime + 2 dollars = 10 cents + 200 cents = 210 cents
Cost of two oranges = Total amount given by Sue to the store clerk –
Change = 210 cents – 40 cents = 170 cents
Cost of one orange = Cost of two oranges / 2 = 170 cents / 2 = 85 cents
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How do you evaluate a function on a calculator?
To evaluate a function in a calculator take the help of scientific notations available on the calculator.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To evaluate a function on a calculator.
Use the scientific notations available in the calculator.
The ^ symbol is for applying power to a variable or integer.
The basic variables x, y are given in the calculator.
All the integers from 0 to 9 are present in the calculator.
Also the operators such as + , - , × , ÷ are also present on the calculator.
Enter the polynomial function in the calculator.
The calculator will evaluate the function in seconds.
Therefore, scientific notations help in evaluating functions.
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what is the eccentricity of an infinitely long ellipse?
Answer:
1
Step-by-step explanation:
Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.
1. Determine the gradient for the following functions (i) f(x,y) = ? y sin (ii) (, y, z) = (x2 + y2 + 22)-1/2
The gradient of the function f(x, y) = √(x² + y² is (∂f/∂x, ∂f/∂y) = (x / √(x² + y²), y / √(x² + y²)).
To find the gradient of the function f(x, y) = √(x² + y²), we need to calculate the partial derivatives with respect to x and y. Taking the partial derivative with respect to x, we use the chain rule to obtain (∂f/∂x) = x / √(x² + y²). Similarly, taking the partial derivative with respect to y, we have (∂f/∂y) = y / √(x² + y²).
The gradient represents the rate of change of the function in each direction. In this case, it gives us the direction and magnitude of the steepest ascent of the function at each point. The magnitude of the gradient vector (∂f/∂x, ∂f/∂y) is the rate of change of the function in that direction.
Therefore, the gradient of f(x, y) = √(x² + y²) is (∂f/∂x, ∂f/∂y) = (x / √(x² + y²), y / √(x² + y²)), representing the direction and magnitude of the steepest ascent of the function.
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