Answer:
Step-by-step explanation:
5 2/5 = [(5*5)]+2 / 5 = (25+2) / 5 = 27/5
(27/5)/(9/10) = 27/5 * 10/9
cross cancel 27 becomes 3 and 9 becomes 1, 5 becomes 1 and 10 becomes 2
= 3/1 * 2/1 = 6/1 = 6
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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carbon-14 decays continuously at a rate of 0.0121% a year. if a 5-gram sample currently weighs 3.2-grams, how old is the sample?
Show your work
Answer:
Step-by-step explanation:
if 1 = 2 than 3 is 4
Aiden and Noah are going to work for their neighbor this summer. The neighbor gives Aiden $25 at the beginning of the summer and then pays him $5 each
week to mow the lawn. The neighbor pays Noah $7.50 each week to walk the dog.
The graph shown below models the total amount of money y each boy has earned after working for 2 weeks.
Answer:
A. After 10 weeks, each boy has earned a total of $75
Step-by-step explanation:
the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
Answer:
TRUE
Step-by-step explanation:
Finding the opposite is the same as multiplying everything by -1
ax^4 × -1 = -ax^4
-bx³ × -1 = bx³
-cx × -1 = cx
d × -1 = -d
-ax^4 + bx³ + cx - d
what is 3/5 divided by 9 equal?
Answer:
1/15
Step-by-step explanation:
Dividing a fraction by a whole number
3/5 ÷ 9
Copy dot flip
3/5 * 1/9
Rewriting
3/9 * 1/5
1/3 * 1/5
1/15
Answer:
1/15
Step-by-step explanation:
3/5 ÷ 9
3/5 × 1/9
1/5 × 1/3
1/15
A frictionless spring with a 4-kg mass can be held stretched 1.8 meters beyond its natural length by a force of 80 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 0.5 m/sec, find the position of the mass after t seconds.
the position of the mass after t seconds is given by:
x(t) = 1.8 meters
To find the position of the mass after t seconds, we can use the equation of motion for a mass-spring system. The equation is given by:
m * x''(t) + k * x(t) = 0
where m is the mass, x(t) is the displacement of the mass from its equilibrium position at time t, x''(t) is the second derivative of x(t) with respect to time, and k is the spring constant.
In this case, the mass of the system is 4 kg. The spring constant (k) can be calculated using Hooke's law:
k = F / x
where F is the force applied to the spring and x is the displacement of the spring from its natural length. In this case, F = 80 N and x = 1.8 m.
k = 80 N / 1.8 m = 44.44 N/m
Now, we can rewrite the equation of motion as:
4 * x''(t) + 44.44 * x(t) = 0
To solve this second-order linear homogeneous ordinary differential equation, we can assume a solution of the form x(t) = A * e^(r * t), where A is a constant and r is the growth/decay rate.
Plugging this solution into the equation of motion, we get:
4 * (r^2) * A * e^(r * t) + 44.44 * A * e^(r * t) = 0
Dividing both sides by A * e^(r * t), we get:
4 * (r^2) + 44.44 * r = 0
Simplifying the equation, we have:
r^2 + 11.11 * r = 0
Factoring out r, we get:
r * (r + 11.11) = 0
This gives us two possible values for r:
r = 0 and r = -11.11
Since the spring is initially at equilibrium and has an initial velocity of 0.5 m/s, the solution with r = 0 is appropriate for this case.
Using the solution x(t) = A * e^(r * t), we have:
x(t) = A * e^(0 * t) = A
To determine the value of A, we use the initial condition that the spring is initially stretched 1.8 meters beyond its natural length. Thus, when t = 0, x(t) = 1.8:
1.8 = A
Therefore, the position of the mass after t seconds is given by:
x(t) = 1.8 meters
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find the radius of each circle with the given dimensions. d = 29 m
Answer:
14.5
Step-by-step explanation:
The radius is half the diameter.
29/2=14.5
PLEASE HELP I ONLY HAVE A COUPLE MINUTES!!!!! The system of equations y =1/4 x -1 and y = -1/2 x -1/4 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (1, negative three-fourths).
What is a reasonable estimate for the solution?
(1, -3/4)
(-3/4, 1)
(- 1, 3/4)
(3/4, - 1)
Emma runs a farm stand that sells apples and blueberries. Each pound of apples sells for $3 and each pound of blueberries sells for $1.25. Emma made $58.50 from selling a total of 30 pounds of apples and blueberries. Write a system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of blueberries sold. Define the variables that you use to write the system.
Answer:
13 each
Step-by-step explanation:
I really am confused but know that 4.25 x 13 = 55.25 and the cannot be left overs so do 58.50 - 55.25 = ____. And whatever that equalls s the remainder. Lol this was hard ns.
Emma sold 12 pounds apples and 18 pounds blueberry.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost of 1 pound apples = $3
Cost of pound blueberries = $1.25
Total cost of spirit wear= $58.50
let the amount of apples sold be x
and, let the amount of blueberries sold be y
So, 3x+ 1.25y= 58.5
and, x+ y= 30
Solving the above equations we get
3(30-y) + 1.25y= 58.5
90- 3y + 1.25y = 58.5
-1.75 y= -31.5
y= 18
and x= 30 - 18= 12
Hence, Emma sold 12 pounds apples and 18 pounds blueberry.
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I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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What is the relationship between period and frequency? (both in words and mathematically)
The relationship between period and frequency is that they are inversely proportional to each other. In simpler terms, as the period of a wave or oscillation increases, its frequency decreases, and vice versa.
Mathematically, this relationship can be expressed using the formula: Frequency (f) = 1 / Period (T). Likewise, Period (T) = 1 / Frequency (f).To understand this relationship, let's first define the terms. Period (T) refers to the time it takes for one complete cycle of a wave or oscillation to occur. On the other hand, frequency (f) is the number of complete cycles that occur within a specific time interval, usually one second, and is measured in Hertz (Hz).
When a wave or oscillation has a longer period, it takes more time to complete one cycle, which means fewer cycles can occur within a given time frame. Consequently, the frequency is lower. Conversely, when the period is shorter, more cycles can fit within the same time frame, resulting in a higher frequency.
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two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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Quadrilateral ABCD is a parallelogram. If m
Answer: Angle D would be the same as Angle B so the answer is 49 degrees.
Step-by-step explanation:
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations
for x and y.)
midpoint (13,-18), endpoint (5,- 19)
The other endpoint is
(Type an ordered pair.)
The other terminus of the segment's coordinates are (21, -17).
A collection of dots, lines, line segments, curves, or areas that visually depicts how one variable varies in connection to one or more other variables. a collection of every point whose coordinates satisfy a specific relation (such as a function).
Write the midpoint formula.
\(m=x_{1}+x_{2}/2\\n=y_{1}+y_{2}/2\)
Substitute (13, -18) into (5, -19).
\(13=5+x_{2}/2\\\\-18=-19+y_{2}/2\)
Swap the side.
\(5+x_{2}/2=13\\\\\\-19+y_{2}/2=-18\)
Calculate.
\(5+x_{2}=26\\\-19+y_{2}/2=-36\)
Rearrange the terms.
\(x_{2}=21\\\y_{2}/2=-17\)
Express solution in ordered pair:
(21, -17)
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Write an equation for each line
The equation for each line is 5x-y=6 by using slope and the given points that are passing through the line.
What is a slope?The slope or gradient of the line is a numerical value used to describe a line's steepness and direction in mathematics. It was first used to describe slope in O'Brien's (1844) and Todhunter's (1888) versions of the equation for a straight line, which are both written as "y = mx + b" and "y = mx + c," respectively.
Calculating slope involves comparing the "vertical change" to the "horizontal change" between any two points on a line, or any two points.
The lines are passing through the points (2, 4) and (1, -1)
Slope m =(y₂-y₁)/(x₂-x₁)
m=(-1-4)/(1-2)
m= -5/-1
m=5
The equation of the line with slope m=5 and passes through the point
(2, 4)
y-y₁=m(x-x₁)
y-4=5(x-2)
y-4=5x-10
5x-y=6
The equation of the line with slope m=5 and passes through the point
(1, -1)
y+1=5(x-1)
y+1=5x-5
5x-y=6
Therefore, the equation for each line is 5x-y=6.
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Isabella deposited $500 into a savings account at a local bank that earned 5% interest per year. How much interest does she earn in her first year?
Answer:
$25
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
putting time into years for simplicity,
12 months ÷ 12 months/year = 1 years,
then, solving our equation
I = 500 × 0.05 × 1 = 25
I = $ 25.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 5% per year
for 1 years (12 months) is $ 25.00.
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
Answer:
$30
Step-by-step explanation:
To answer this, maximize the profit function P(x)= -5x^2 + 300x + 15,000. Note that this is a quadratic function with coefficients -5, 300, 15000. Find the x-coordinate of the vertex: It is
-300
x = ------------ = 30, and because coefficient a is negative, we know that
2(-5) the graph opens downward and the max is at x = 30.
Conclusion: charging $30 for its product will maximize the profit.
Manuel cuya estatura es de 1.75 m observa la parte alta de un poste de 18.25 m de altura, con un ángulo de elevación de 30°. La distancia horizontal que hay entre el hombre y el poste es¬
Answer:
i don't understand
Step-by-step explanation:
If the distribution of observations were perfectly symmetrical and unimodal,
A the mean would be greater than the mode
B the mean, median mode would be the same
C the mode would be lesser than the median
D the median would be greater than the mean
If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.
In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.
The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.
The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.
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What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 24
B. 44
C. 29
O D. 39
SU
Answer:
D
Step-by-step explanation:
First find the median of the data set
The median is the middle value of the data in ascending order
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
↑ median = 29
The third quartile is the middle value of the data to the right of the median
35, 37, 39, 42, 44
↑ third quartile
The third quartile of the data set is 39
A racehorse breeder's sells feed by the ton (2000 pounds). They add a special supplement to the feed. Each horse needs 300 milligrams (mg) of this supplement a day and each horse consumes 15 pounds of the feed per day. If there are 1,000 milligrams in a gram, how many grams of the medication should the feed company add for each ton of feed they produce
Answer: 40 grams
Step-by-step explanation:
Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.
This means that 300 milligrams should be in 15 pounds of feed.
In 2,000 pounds therefore, the medication that should be added is;
= (2,000 * 300) / 15
= 40,000 milligrams of supplement
Question calls for how much grams are needed.
1 gram is 1,000mg
40,000 milligrams is;
= 40,000/1,000
= 40 grams
III. Expression Tree a. Draw the expression tree for the expression 2 + 3 * 4+ (3 * 4)/5. [4 Marks]
This expression tree provides a visual representation of the expression's structure, allowing for easier evaluation and understanding of the operator precedence.
Here is the expression tree for the given expression: 2 + 3 × 4 + (3 × 4) / 5.
+
/ \
+ /
/ \ / \
2 * * 5
/ \ /
3 4 3
Explanation:
The expression tree represents the hierarchy and precedence of the operators in the expression. The higher-level operators are closer to the root of the tree, while the lower-level operators are closer to the leaves.
In this expression tree:
- The root node represents the addition operator (+).
- The left child of the root node represents the addition operator (+), with its left child being the number 2 and its right child being the multiplication operator (*).
- The right child of the root node represents the division operator (/), with its left child being the multiplication operator (*) and its right child being the number 5.
- The left child of the second addition operator represents the multiplication operator (*), with its left child being the number 3 and its right child being the number 4.
- The right child of the second addition operator represents the multiplication operator (*), with its left child being the number 3 and its right child being the number 4.
Overall, this expression tree provides a visual representation of the expression's structure, allowing for easier evaluation and understanding of the operator precedence.
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suppose you plan to eat a snack with 247 calories. how many calories are in the snack? 247 highlight off how many kilojoules are in the snack?
The number of Calories in the snack in Kilojoules is 1.033 Kilojoules .
In the question ,
it is given that ,
the number of calories in the snack = 247 calories
we have to find the calories in Kilojoules ,
we know that the 1 calorie = 4.184 × 10⁻³ Kilojoules
So , on multiplying both the sides by 247 ,
we get ,
247 calorie = 247 × 4.184 × 10⁻³ Kilojoules
= 1033.448 × 10⁻³ Kilojoules
simplifying further ,
we get ,
= 1.033 Kilojoules
Therefore , The number of Calories in the snack in Kilojoules is 1.033 Kilojoules .
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PLZZ HELPP
Find the volume.
Answer:
330yd^3
Step-by-step explanation:
multiply all of them
Answer:
330 yd^3
Step-by-step explanation:
V=w*h*l
V=5*6*11
V=330 yd^3
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Suppose you take a $250,000 thirty-year fixed-rate mortgage at 6.50%, two discount points, monthly payments. At the end of the first year you inherit $16,000 from your now-favorite aunt. You decide to apply this $16,000 to the principal balance of your loan. A. (1 pt ) How many monthly payments are remaining after the extra lump sum payment is made? B. (1 pt) What is your net interest savings over the life of the loan, assuming the loan is held to its maturity?
After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.
To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.
Given:
Loan amount (principal balance) = $250,000
Interest rate = 6.50%
Discount points = 2
Extra lump sum payment = $16,000
A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.
Principal balance after the lump sum payment:
$250,000 - $16,000 = $234,000
Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.
B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.
Total interest paid without lump sum payment:
Total interest = Monthly payment * Number of payments - Principal balance
Total interest = Monthly payment * 360 - $250,000
Total interest paid with lump sum payment:
Total interest = Monthly payment * Number of payments - Principal balance
Total interest = Monthly payment * 346 - $234,000
Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment
Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)
To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.
Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)
Net interest savings = $86,353.39
Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.
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There are 3 white tiles for ever 5 shaded tiles.There are 40 tiles all together.How many tiles are white?How many tiles are shaded?
Answer:
25 shaded tiles and 15 white tiles
Step-by-step explanation:
Added up these all make 40 tiles, making them the only answer. Hope this helps.
Solve 729 s-⁵ = 3² (1-s) for S.
Answer:
No real solutions.
Step-by-step explanation:
729s^-5 = 729/s^5
729/s^5 = 3^2(1-s) = 9(1-s)
729=9(1-s)(s^5)
(1-s)(s^5)=81
s^5-s^6=81
Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.
Solve the equation. Then check your solution. 1 and one-fourth = a + StartFraction 3 Over 8 EndFraction a. StartFraction 7 Over 8 EndFraction c. Negative StartFraction 7 Over 8 EndFraction b. Negative one-half d. 1 and StartFraction 5 Over 8 EndFraction Please select the best answer from the choices provided A B C D
Answer:
D-16
Step-by-step explanation:
i got it right
Answer:
Step-by-step explanation:
A