Answer:
8 teams of 4 players or 4 teams of 8 players
Step-by-step explanation:
8 x 4 = 32
Corresponding points that lie
on the graph of
f(x) = (x-4)^3-6
(Type ordered pairs. Simplify
your answer.)
The missing coordinates of the cubic equations are filled out as ordered pairs as follows
function coordinates
y = x³ (-1, -1), (0, 0)
f(x) = (x - 4)³ - 6 (-1, -131), (0, -70)
How to find the missing coordinatesThe coordinates of the cubic equation is sought by substituting the values of x in the function and solve for y.
for x = -1
y = x³ = (-1)³ = -1
f(x) = (x - 4)³ - 6 = (-1 - 4)³ - 6 = -131
for x = 0
y = x³ = (0)³ = 0
f(x) = (x - 4)³ - 6 = (0 - 4)³ - 6 = -70
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If
p
=
2
and
q
=
5
, evaluate the following expression:
40
2
q
−
p
Answer:
398
Step-by-step explanation:
40*2q-p
=40*2*5-2
=400-2
=398
Answer:
2008
Step-by-step explanation:
since p=2
q=5
therefore, 402(q)-p
=402(5)-2
=2,010-2
=2008
write 3 23/25 as rational numbers
what made the time ater sugauli treaty politically instable and complicated
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Can you answer ASAP PLEASE
9. Which of the following graphs represents the solution set for 5x + 38 ≤ 4(2 – 5x)?
We are given the following inequality.
[tex]5x+38 \leq 4(2-5x)[/tex]
Apply the distributive property on the right side:
[tex]5x+38\leq 8-20x[/tex]
Add both sides by 20x:
[tex]5x+38+20x\leq 8-20x+20x[/tex]
[tex]25x+38\leq 8[/tex]
Subtract both sides by 38:
[tex]25x+38-38\leq 8-38[/tex]
[tex]25x\leq -30[/tex]
Divide both sides by 25:
[tex]25x/25\leq -30/25[/tex]
[tex]x\leq -6/5[/tex]
Out of all the options, only option A accurately depicts this inequality. Thus, the answer is option A.
Let me know if you have any questions, thanks!
Fwam is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. The table below has select values showing the linear relationship between t and C. Determine the additional charge per minute.
t
3
6
9.5
C
10.30
13.60
17.45
The additional charge per minute is given as follows:
$1.1.
How to obtain the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change, which in the context of this problem is the charge per minute.The intercept b represents the initial value, which in the context of this problem is the flat initial fee.From the table, when the time in minutes increases by 3, from 3 to 6, the cost increases by $3.3, from $10.30 to $13.60, hence the slope m is obtained as follows:
m = 3.3/3
m = $1.1.
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Need help with solution please
Answer: The definition of a solution is a value or values which, when substituted for a variable in an equation, make the equation true. For example, the solutions to the equation x2 = 4 are 2 and -2. I hope this helped!
Find the length of JM
The length of JM is 24 units.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
<H= <K= <N= 90
and, GH || JK || MN
then, Using proportion
GL/ GM = HK/ HN
18/ (18+ x) = 15/ (15+20)
18(15+20) = 15(18+x )
18 . 20= 15 x
x= (18)(20)/ 15
x= 24
Hence, the length is 24 units.
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2. Find the simple interest for the following. Round to the nearest cent.
$7800 at 9.25% for 4 months
3. What is the difference between exact and ordinary interest? Don't forget about leap years.
Answer:
2. $240.50
3. See below
Step-by-step explanation:
2.
I = Prt
where I = interest
P = principal amount (amount of investment)
r = annual interest rate
t = time in years
t = 4 months = 4/12 year = 1/3 year
r = 9.25% = 0.0925
I = Prt
I = $7800 × 0.0925 × 1/3
I = $240.50
3. Exact interest takes into account every day of the year. In a regular year, there are 365 days. in a leap year, there are 366 days. Exact interest uses the exact number of days of the specific year for interest calculations of less than a year.
Ordinary interest rounds off a year to 360 days, and calculations are based on a year having 360 days, not 365 of 366 days.
Natalia bought 3 boxes of pencils and 9 reams of paper for $75. Ronnie bought 8 boxes of pencils and 5 reams of paper for $67. Set up and solve a system of equations by elimination to determine the cost of a box of pencils and a ream of paper.
The cost of a box of pencils is $4.
The cost of a ream of paper is $7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 1 = 6 is an equation.
We have,
Pencils = x
Reams of paper = y
Now,
Natalie:
3x + 9y = 75 _____(1)
Ronnie:
8x + 5y = 67 _____(2)
From (1) and (2)
Multiply 8 on (1)
Multiply 3 on (2)
24x + 72y = 600
24x + 15y = 201
(-) (-) (-)
57y = 399
y = 7
Now,
3x + 9y = 75
3x + 9 x 7 = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
x = 4
Thus,
The cost of a box of pencils and a ream of paper are $4 and $7.
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Which is the equation of a line perpendicular to the line with the equation:
y = 1/4x + 2
The equation of a line perpendicular to the line y = 1/4x + 2 and passing through a point (x1, y1) is given by:
y - y1 = -4(x - x1)
This is because the slope of the original line is 1/4, so the slope of the perpendicular line must be -4 (the negative reciprocal).
What is a perpendicular line?A perpendicular line is a line that forms a 90-degree angle with another line. In other words, it is a line that is perpendicular to another line at their point of intersection. The slope of two perpendicular lines are negative reciprocals of each other, meaning that if one line has a slope of m, the slope of the perpendicular line is -1/m.
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the actual cost per pound of potatoes for the 5- pound bag is $ blank per pound
The actual cost per pound of potatoes for the 5-pound bag is $0.76 per pound.
What is Rate?A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.
A 5-pound bag of potatoes costs $.3.80.
So the rate of the potato per pound is: 3.80/5 = 0.76
Therefore, the cost of potatoes per pound will be $0.76.
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Complete question:
A 5 pound bag of potatoes costs $.3.80. How much do the potatoes cost per pound?
The actual cost per pound of potatoes for the 5-pound bag is per pound.
Which expressions are completely factored?
Select each correct answer.
Responses
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
The expressions that are completely factored are:
16a5−20a3=4a3(4a2−5) is correct.12a3+8a=4(3a3+2a) is correct.24a4+18=6(4a4+3) is correct.Why are they considered to be correct?The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.
For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.
Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).
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Answer:
16a^5−20a^3=4a^3(4a^2−5)
and
24a^4+18=6(4a^4+3)
Step-by-step explanation:
Approximately how many downloads were there between 3 p.m. and 4 p.m.?
Answer: If you can explain the question a little bit more i would be happy to help!
Step-by-step explanation:
You deposit $400 each month into an account earning 8% interest compounded monthly_ a) How much will you have in the account in 30 years? b) How much total money will you put into the account? c) How much total interest will you earn?
Answer:
400×30= 12000 in 30yrs
12000
Step-by-step explanation:
12000÷.08= 150000
Even salaried employees can be paid by the hours they clocked in/out.
A) True
B) False
Answer:
B
Step-by-step explanation:
There are two types in this good ol' world, Salary and Hourly.
Hourly gets paid by, well, the hour
Salary has a set amount. Let's say there around is $1000 a week. If they work 70 hours, they get paid $1000, if they work 30 hours, they get paid $1000
ngberg Company installs lawn sod in home yards. The company’s most recent monthly contribution format income statement follows:
Amount Percent of Sales
Sales $ 90,000 100%
Variable expenses 36,000 40%
Contribution margin 54,000 60%
Fixed expenses 40,500
Net operating income $ 13,500
Required:
1. What is the company’s degree of operating leverage?
2. Using the degree of operating leverage, estimate the impact on net operating income of a 7% increase in unit sales.
3. Construct a new contribution format income statement for the company assuming a 7% increase in unit sales.
1. The company’s degree of operating leverage is 4.
2. The degree of operating leverage is 3.34.
3. The new contribution is $17, 280.
What is degree of operating leverage?How much a company's operating income alters in reaction to a change in sales is measured by the level of operating leverage.
1. Degree of operating leverage = Contribution /Net Operating Income
and, Contribution = 54,000
Net Operating Income = $13,500
Thus, operating Leverage = 54000/ 13500 = 4
2. If Company's sales increase by 7% then contribution also increases by 7%,
Revised Contribution = $54000 + 7% = $57780
and, Revised net Operating income = $57780- $40500
= 17280
Degree of operating leverage = 57780 / 17280 = 3.34
3. Contribution format income statement:
Sales = $90000+ 7% = $96,300
Less: Variable Cost 36, 000 + 7% = $38520
So, New Contribution = 57780 - 40500 = $17, 280.
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Identify the constants B and M in the expression b+mt for the linear function r(t)= √3 - 0.4t√13
b=
m=
The value of the 'm' and 'b' will be negative 1.44 and 3.61, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + b
Where m is the slope of the line and b is the y-intercept of the line.
The linear equation is given below.
r(t)= √3 - 0.4t√13
r(t)= √3 - (0.4√13) t
Compare the equation with the standard equation. Then we have
m = - (0.4√13)
m = - 1.44
b = √13
b = 3.61
The value of the 'm' and 'b' will be negative 1.44 and 3.61, respectively.
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54) If a spring stretches 6 meters when a 8-kilogram weight is attached to it, how much will it stretch when a 56-kilogram weight is attached to it?
The length of the spring stretched is given by the proportion A = 42 meters
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the length of the spring stretched when 56 kg weight is attached be A
Now , the equation will be
The length of the spring when 8 kg is attached to it = 6 meters
So , the proportion is
A / 56 = 6 / 8
On simplifying the equation , we get
Multiply by 56 on both sides of the equation , we get
A = ( 6 x 56 ) / 8
On further simplification , we get
A = 6 x 7
A = 42 meters
Therefore , the value of A is 42 meters
Hence , the equation is A = 42 meters
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g(x) =8x²-5x³+7-12x total roots
The given cubic equation has no roots.
What are cubic equations?Traditionally, a cubic problem can be solved by converting it into a quadratic equation, which can then be solved by factoring or the quadratic formula. A cubic equation has three roots, just like a quadratic equation has two. Three real roots or one real root and two imaginary roots are both possible for a cubic equation. Cubic equations must also always be arranged in their standard form first.
The following strategies can be used to resolve a cubic equation:
Using Graphical Method to Find Integer Solutions with Factor Lists
Given that the cubic equation is: 8x²-5x³+7-12x
Regrouping the equation in standard form:
- 5x³ + 8x² - 12x + 7
Here, the constant is 7. Take the factors of the constant.
7 = 1, 7
Substitute the value of the factors as follows:
G(1) = - 5(1)³ + 8(1)² - 12(1) + 7 = -5 + 8 - 12 + 7 ≠ 0
G(7) = -5(7)³ + 8(7)² -12(7) + 7 = -1715 + 392 - 84 + 7 ≠ 0
Hence, the given cubic equation has no roots.
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Tracy bought a wristwatch for $845.00. She made a down-payment of $95.00 and financed the rest with six monthly payments of $128.75. Find the total installment price and total interest.
Which equation is more appropriate for modeling this DATA?
The equation which is more appropriate for modeling this DATA is y = 64 × (1.25)^x
The correct answer choice is option A.
Which equation is more appropriate for modeling this DATA?y = 64 × (1.25)^x
when,
x = 1
substitute into the equation
y = 64 × (1.25)¹
= 64 × 1.25
= 80
y = 79 × 1.25^x
when x = 1
= 79 × 1.25¹
= 79 × 1.25
y = 98.75
79 + 1.25x
when x = 1
= 79 + 1.25(1)
= 79 + 1.25
= 80.25
64 + 22x
when x = 1
= 64 + 22(1)
= 64 + 22
= 86
Therefore, y = 64 × (1.25)^x is the equation which is more appropriate to represent the data.
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The sum of three numbers is 54. The difference of the largest and the smallest is 46, and the sum of the two smaller numbers is 13. Find the numbers?
These values do not satisfy the requirement that x, y, and z be positive numbers, so the problem does not have a solution.
What is a three-variable linear equation?
When a, b, and c are constants, a linear equation in two variables has the form ax + by + c = 0. (real numbers). Similar to this, a three-variable linear equation has the form ax by c z plus d = 0, where a, b, c, and d are constants.
Let's call the three numbers x, y, and z, where x is the largest number and z is the smallest number. Then, we have the following information:
x + y + z = 54
x - z = 46
y + z = 13
From the second equation, we can find z:
z = x - 46
Substituting this into the third equation:
y + x - 46 = 13
y = 13 + 46 - x
Substituting both of these into the first equation:
x + (13 + 46 - x) + (x - 46) = 54
Expanding the parentheses:
2x = 154
Dividing both sides by 2:
x = 77
Substituting this value of x into the equation for z:
z = x - 46 = 77 - 46 = 31
And substituting it into the equation for y:
y = 13 + 46 - x = 13 + 46 - 77 = -18
Note that these values do not satisfy the requirement that x, y, and z be positive numbers, so the problem does not have a solution.
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5
55 markers cost
$
6.55
$6.55dollar sign, 6, point, 55.
Which equation would help determine the cost of
4
44 markers?
Choose 1 answer:
Choose 1 answer:
The equation that can be used to represent the cost of 4 markers is y = k × 4
How to write equation?5 markers = $6.5
Unit cost of each marker = $6.5 / 5
= $1.3 per marker.
If
y = kx
Where,
y = total cost of markers
k = unit cost of marker
x = number of markers
The equation for the cost of 4 markers:
y = kx
y = 1.3 × 4
y = $5.2
Ultimately, y = k × 4 represents the equation for total cost of 4 markers.
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Please help will mark Brainly
The total amount of Investment A is $6,348.58.
What is the compound interest?
Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
To find the total amount of investment A, you can use the formula for compound interest:
A = P * (1 + r/n)⁽ⁿᵗ⁾
Where P is the initial investment ($5,000), r is the annual interest rate (6%), n is the number of times interest is compounded per year (2 times), and t is the number of years invested (4).
A = 5000 * (1 + 0.06/2)⁽²*⁴⁾
= 5000 * (1 + 0.03)⁸
= 5000 * 1.03⁸
= 5000 * 1.269716
= $6,348.58
Hence, The total amount of Investment A is $6,348.58.
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During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time t
, in hours. At time t=0
hours, the population is 300. At time t=24
hours, the population is 1000. At what time t
is the population 500 ?
Step-by-step explanation:
The rate of change of the population is proportional to the population, so we can use the exponential growth formula:
P(t) = P0 * e^(kt)
Where P0 is the initial population (300), k is the constant of proportionality, and t is the time in hours. We can use the data from t=24 hours to solve for k:
1000 = 300 * e^(24k)
Dividing both sides by 300 and taking the natural logarithm of both sides:
ln(1000/300) = 24k
ln(3.33) = 24k
k = ln(3.33) / 24
Now that we have k, we can plug it into the formula and solve for t when P(t) = 500:
P(t) = 300 * e^(kt)
500 = 300 * e^(kt)
e^(kt) = 500/300
e^(kt) = 5/3
kt = ln(5/3)
t = ln(5/3) / k
Substituting k = ln(3.33) / 24:
t = ln(5/3) / (ln(3.33) / 24)
t ≈ 11.7 hours.
Find an equation in point-slope form for the line having the slope m=-6 and containing the point (7,8)
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 6}(x-\stackrel{x_1}{7})[/tex]
answer to winterwonderland breakout edu
Answer:its a cool song
Step-by-step explanation:
listening, listened to it, its good
Kate has a collection of 20 buttons. Each button has a diameter of either 2 or 3
centimeters. The combined diameters of all buttons is 48 cm. If x is the number of 2 cm
buttons, and y is 3 cm buttons, which system below represents the situation?
x+y=20
3x+2y=48
x+y=20
5xy=48
x+y=20
2x+3y=48
x+y=48
2x+3y=20
The solution is, the system represents the situation is, x+y= 20
and, 2x+3y = 48.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Each button has a diameter of either 2 or 3 centimeters.
The combined diameters of all buttons is 48 cm.
If x is the number of 2 cm buttons,
and y is 3 cm buttons.
Kate has a collection of 20 buttons.
So, the system represents the situation is,
x+y= 20
and, 2x+3y = 48.
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Each student at state college has a student I.D number consisting of seven digits (the first digits may be repeated) Followed by three of the letters A,B,C,D and E (letter may not be repeated). how many different student numbers are possible
The different student number possible if a student I.D number consisting of seven digits (the first digits may be repeated) Followed by three of the letters A,B,C,D and E is 32659200.
What is permutation?A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.
The college ID consists of a total of 10 elements in which the first 7 can be a number and the last three are letters A, B, C, D, E.
Since, the number cannot start with a 0, we have the following combination of numbers:
9 * 9 * 8 * 7 * 6 * 5 * 4 * 5 * 4 * 3 = 32659200
where the first seven places represent digits, and the last three represent letters.
Hence, the different student number possible if a student I.D number consisting of seven digits (the first digits may be repeated) Followed by three of the letters A,B,C,D and E is 32659200.
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