Answer:
\(-10x^3y^2+5x^2y^3-2x^3+7y^2\)
Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2
Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!
Solve the following equation for
b
b. Be sure to take into account whether a letter is capitalized or not.
Answer:
b = h*D +hg^3
Step-by-step explanation:
b/h = D +g^3
Multiply each side by h
h* b/h = h*D +hg^3
b = h*D +hg^3
$140 is 3.5% of what amount?
Answer:
4000
Step-by-step explanation:
140$ = 3.5 , divide by 3.5 on both sides
1% = 40$
100% = 4000$
Answer:
\(\huge\boxed{\$4,000}\)
Step-by-step explanation:
\(p\%=\dfrac{p}{100}\\\\3.5\%=\dfrac{3.5}{100}=0.035\\\\3.5\%\ \text{of}\ x\ \text{is}\ \$140\\\\0.035\cdot x=140\qquad\text{divide both sides by 0.035}\\\\\dfrac{0.035\cdot x}{0.035}=\dfrac{140}{0.035}\\\\x=4,000\)
Joe got a 70 on a midterm exam, for which the mean for the entire class was 75 and the standard deviation was 10. He got a 50 on the final exam, for which the mean for the entire class was 55 and the standard deviation was 15.
a) compare the degree of dispersion in the two distributions. Relative to their means, which class had the greatest amount of variation in exam scores ?
The coefficient of variation for the final exam is higher than that for the midterm exam, indicating that the scores on the final exam are more dispersed relative to the mean than the scores on the midterm exam.
Which class has the greatest variation in exam scoresTo compare the degree of dispersion in the two distributions, we can calculate the coefficient of variation (CV) for each exam:
CV = (standard deviation / mean) x 100%
For the midterm exam:
CV = (10 / 75) x 100% = 13.33%
For the final exam:
CV = (15 / 55) x 100% = 27.27%
To determine which class had the greatest amount of variation in exam scores relative to their means, we can compare the coefficient of variation for the two classes. Since the CV for the final exam is higher than that for the midterm exam, we can conclude that the final exam had a greater amount of variation in exam scores relative to the mean for the class than the midterm exam.
Learn more on coefficient of variation here;
https://brainly.com/question/19616808
#SPJ1
please help asap 30 points plz help
Answer:
Step-by-step explanation:
which expression is equivalent to (x^-4y/x^-9y^5)^-2
Answer: simlify theexpression
1
y 12 x 10
One of your customers is delinquent on his accounts payable balance. You’ve mutually agreed to a repayment schedule of $570 per month. You will charge .97 percent per month interest on the overdue balance. If the current balance is $14,790, how long will it take for the account to be paid off?
Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
Answer:
To calculate the time it will take to pay off the account, we can use the formula for the future value of an annuity:
PV = PMT * ((1 - (1 + r)^(-n)) / r)
Where:
PV = Present value (current balance)
PMT = Payment amount per period
r = Interest rate per period
n = Number of periods
In this case:
PV = $14,790
PMT = $570
r = 0.0097 (0.97% expressed as a decimal)
n = ?
Plugging in the values, we can solve for n:
14,790 = 570 * ((1 - (1 + 0.0097)^(-n)) / 0.0097)
Let's solve this equation to find the value of n:
((1 + 0.0097)^(-n)) = 1 - (14,790 * 0.0097) / 570
((1 + 0.0097)^(-n)) = 0.9742105
Taking the logarithm of both sides:
-n * log(1.0097) = log(0.9742105)
n = log(0.9742105) / log(1.0097)
Using a calculator, we find that n is approximately 28.56.
Therefore, it will take approximately 28.56 months (or 28 months and 17 days) to pay off the account.
Step-by-step explanation:
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answer:
It's the first answer.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
The probability that a student studied for exactly 4 hours rounded to the nearest hundredth is C. 0.26.
How can the probability can be calculated?The concept that will be used here is probability. From the question the first column of a table serves as the amount of hours a student spent studying math, while the second column can be seen as the total number of pupils.
We can see from the second column's total which is 35. We can see that just only 9 of them spent 5 hours in the process of going over their arithmetic.
Then the likelihood that a student studied for four hours can be known which can be calculated as :
= [9/35]
= 0.257 or 26%.
Therefore, option C is correct.
Learn more about probability at:
#SPJ1
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
Learn more about axioms here:
https://brainly.com/question/2857184
#SPJ8
Examine the straight line depreciation O I/so 1 A value 189 art mintiw graph for a car. 9m 10 Doled 1 35,000 a. At what price was the car purchased? b. After how many years does the car totally depreciate? c. Write the equation of the straight line depreciation graph shown.
a. The y-intercept of the graph is 35,000, which represents the original purchase price of the car. Therefore, the car was purchased for $35,000.
b. We can see from the graph that the car's value becomes 0 after 9 years. Therefore, the car totally depreciates after 9 years.
c. The equation of a straight line can be written as y = mx + b, where m is the slope and b is the y-intercept. The slope of the graph is the rate of depreciation, which is -4000. The y-intercept is the original price of the car, 35000.
So the equation of the straight line depreciation graph is: y = -4000x + 35000
This equation represents the value of the car, where y is the value of the car (in dollars) x is the number of years since the car was purchased and -4000 is the rate of depreciation and 35000 is the original price of the car.
A flower shop makes 5 bouquets with 18 flowers in each bouquet. They make 7 bouquets with 12 flowers in each bouquet.
How many flowers does the flower shop use to make all the bouquets?
Answer:
174
Step-by-step explanation:
thanks for the help guys
What transformation will the following equation have from its parents ?
Since the given function is
\(y=\sqrt[]{x}-2\)Since the parent function is
\(y=\sqrt[]{x}\)That means we subtracted 2 from the parent function
Then we subtract 2 from y
Subtract a number from y means vertical translation down
Then the answer is translation 2 units down
The answer is D
Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have a face value of 3?
Round your answer to two decimal places.
0.92
Step-by-step explanation:
There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is
\(P =\dfrac{48}{52} = 0.92\)
The probability that the card does not have a face value of 3 is 0.92.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the card does not have a face value of 3 - (total cards in a deck of cards - number of cards with a face value of 3) / total cards in a deck of cards
(52 - 4) / 52
= 48 / 52 = 0.92
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ6
Please see the attached photo.
As he rolls the dough, if length is increasing at a rate of 0.5 cm/sec, the rate at which the radius is changing when the radius is 1cm and the length is 5cm will be -0.05 cm/sec using the concept of increasing or decreasing functions.
As per the question statement, if dough is in form of a cylinder and its length is increasing at a rate of 0.5 cm/sec, we have to find the rate at which the radius is changing when the radius is 1cm and the length is 5cm.
Volume V = πr^2h, where 'r' is the radius and 'h' is the length
dV/dt = πr^2*(dh/dt) + h*2πr*(dr/dt) [Derivation wrt 't']
dV/dt = 0, as quantity of dough is same.
so at r = 1cm and h = 5cm
0 = π(1^2)*(0.5) + 5*2π*1(dr/dt)
5*2π*1(dr/dt) = -π(1^2)*(0.5)
10π*(dr/dt) = -π*0.5
(dr/dt) = -0.05 cm/sec
Hence, as he rolls the dough, if length is increasing at a rate of 0.5 cm/sec, the rate at which the radius is changing when the radius is 1cm and the length is 5cm will be -0.05 cm/sec using the concept of increasing or decreasing functions.
Functions: Function is a mathematical statement, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable).To learn more about functions and similar concepts, click on the link given below:
https://brainly.com/question/28193995
#SPJ9
sine and cosine as 70°
Value of Cos(70 degree) = 0.34202014
degree/radian:
(angle in degree) (angle in radian)
FUNCTION:Sin Cos Tan Cot Sec Cosec SinH CosH TanH CosecH SecH CotH Arc Sin Arc Cos Arc Tan Arc Cosec Arc Sec Arc CotA florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
for such more questions on rational
https://brainly.com/question/30339525
#SPJ8
Find a point on the line and the line's slope. y - 1 = -4/3 (x -4)
point on line:
slope:
Answer:
\(\displaystyle\text{Slope: } -\frac{4}{3}\)
Point (4,1)
Step-by-step explanation:
The Equation of the Line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
The given line is:
\(\displaystyle y-1=-\frac{4}{3}(x-4)\)
If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:
Slope:
\(\mathbf{\displaystyle -\frac{4}{3}}\)
Point (4,1)
Please help ASAP !!!!!!!!
Answer:
perimeter is 24in. sq
Step-by-step explanation:
6in. per side* 4 sides= 24in. perimeter
Answer:
48 inches
Step-by-step explanation:
The perimeter is the distance around the shape. To find it, add the length of each side together. Assuming each side has two small squares, then each side would be 12 inches. Add 12 + 12 + 12 + 12, in order to get 48
A palindromic number is a number that reads the same forwards as it does
backwards (example: 282 or 51715). How many 5-digit palindromic numbers have
digits that add up to 14?
Palindromes are numbers whose reverse is the same as the original number
There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14
How to determine the count of 4-digit palindromesThe digit of the palindromic number is 5.
This means that:
The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)The second digit can be any of 0 - 6 (i.e. 7 digits)The third digit can be any of 9 digitsThe fourth digit must be the second digit (i.e. 1 digit)The last digit must be the first digit (i.e. 1 digit)So, the total number of digits is:
\(Digits = 7 + 7 + 9 + 1 +1\)
Evaluate the sum
\(Digits = 25\)
Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14
Read more about palindromes at:
https://brainly.com/question/26375501
I GIVVVVVVE EEEEEE BRAINLILST
Answer:
1/5
Step-by-step explanation:
If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2. If you do that on both X and Y it will give you 2. The black shape's top right cordinate is (2,2) which explains why its 1/5...
Can I plz have it!
The line given by
−11x=4y+4 is dilated by a scale factor centered at the origin. The image of the line after dilation is given by
−11x−4y=16. What is the scale factor of the dilation?
The scale factor of the dilation is 4.
We are given that;
The equation of line −11x=4y+4
Now,
The center of dilation is the origin (0, 0). The line given by −11x = 4y + 4 can be rewritten as y = −11/4 x − 1. This means that it passes through the points (0, −1) and (−4, 0). The image of the line after dilation is given by −11x − 4y = 16, which can be rewritten as y = −11/4 x − 4. This means that it passes through the points (0, −4) and (−16, 0).
To find the scale factor, we can use any pair of corresponding points. For example, let’s use (0, −1) and (0, −4). The distance from the center of dilation to (0, −1) is 1 unit. The distance from the center of dilation to (0, −4) is 4 units. Therefore, the scale factor is 4/1 = 4.
Therefore, by dilation the answer will be 4
Learn more about dilation here:
https://brainly.com/question/27212783
#SPJ1
Rodrigo pays $165.40 per month on his car loan.
How much does he pay on his loan in 1 year?
Answer:
$1984.80
Step-by-step explanation:
165.40 times 12 equals 1984.80
Answer:
He pays $1984.80 on his loan in one year.
Step-by-step explanation:
If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.
165.4*12 = 1984.8
He pays $1984.80 on his loan in one year.
In a normal distribution, a data value located 1.5 standard deviations below the mean has Standard Score:
z = ____________
In a normal distribution, a data value located 1.9 standard deviations above the mean has Standard Score:
z = ____________
In a normal distribution, the mean has Standard Score:
z = ____________
Using the normal distribution, it is found that the z-scores are:
a) z = -1.5
b) z = 1.9
c) z = 0
In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:
z = x-μ/σ
It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).
For first blank: 1.5 standard deviations below the mean, hence z = -1.5.
For second blank: 1.9 standard deviations below the mean, hence z = 1.9.
For third blank: The mean is 0 standard deviations from itself, hence z = 0.
To learn more in depth about similar problem based on normal distribution and z-scores at https://brainly.com/question/13581723
#SPJ4
Find the area of the trapezoid. Leave your answer in simplest radical form.
The Area of the given trapezoid is 64 cm2.
A trapezoid is a quadrilateral with one pair of parallel sides.
To calculate the area of a trapezoid, we use the formula:(Base1 + Base2)/2 x Height = Area of the trapezoid The area of a trapezoid can be found by dividing it into two right-angled triangles and a rectangle, as shown below. \(A_{trapezoid}= \frac{1}{2}(b_1+b_2)h\)Where, \(b_1\) and \(b_2\) are the lengths of the two parallel sides of the trapezoid. h is the height (perpendicular distance) between the parallel sides.find the area of the trapezoid
Example: Find the area of the trapezoid shown below.Solution: From the figure, the lengths of the two parallel sides are 6 cm and 10 cm.
The perpendicular distance between the two bases is 8 cm. Substitute the values into the formula to find the area of the trapezoid.Area of the trapezoid \(A_{trapezoid}= \frac{1}{2}(b_1+b_2)h\)\(= \frac{1}{2}(6+10) \times 8\)\(= \frac{1}{2} \times 16 \times 8\)= 64 cm2.
Therefore, the area of the given trapezoid is 64 cm2.
To know more about Area .
https://brainly.com/question/2607596
#SPJ8
b. Determine if x ^ 2 - 9x + 14 is always positive, always negative , or neither for all negative values
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?
Answer: 4
Step-by-step explanation:
1 third of 30 is 10 and 2/5s of 10 is 4
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The probability of snow given that the temperature is below 32°F is approximately 33.3%. Hence, the correct answer is (A) 33.3%.
To find the probability of snow given that the temperature is below 32°F, we can use conditional probability. The conditional probability of an event A given event B is denoted as P(A|B) and is calculated as the probability of both events A and B occurring divided by the probability of event B occurring.
In this case, event A represents snow and event B represents the temperature being below 32°F.
We are given the following probabilities:
P(snow) = 50%
P(temperature below 32°F) = 60%
P(snow and temperature below 32°F) = 20%
To find P(snow temperature below 32°F), we can use the formula:
P(snow temperature below 32°F) = P(snow and temperature below 32°F) / P(temperature below 32°F)
Substituting the given probabilities, we have:
P(snow temperature below 32°F) = 0.20 / 0.60
P(snow temperature below 32°F) = 1/3
Converting this fraction to a percentage, we get:
P(snow temperature below 32°F) ≈ 33.3%
Therefore, the probability of snow given that the temperature is below 32°F is approximately 33.3%. Hence, the correct answer is (A) 33.3%.
For more such question on temperature visit
https://brainly.com/question/25677592
#SPJ8