if you only payed $600 in rent it would be r=2400
Which polynomial is factored completely?
Answer:
nothing
Step-by-step explanation:
just because i wanted to do this
Please help with these questions!
Answer:
please take a better picture, i can'r read it.
Step-by-step explanation:
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Consider 2 cylinders. The volume of these two cylinders are. If another cross section is taken at a different height, the areas of the cross sections will be
The volume of the two cylinders is 2424. The area of the cross-section will be equal if another cross-section is obtained at a different height.
The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it.
The formula for the volume of a cylinder is given as:
V=π r² h
Now from the figure,
We have, for the first cylinder the height is 16 units and the radius is 7 units.
Hence,
V = 22/7 × 7² × 16
V = 22/7 × 7 × 7 × 16
V = 2424
Therefore the volume of the two cylinders is 2424. The area of the cross-section will be equal if another cross-section is obtained at a different height.
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MATH PLEASE HELP!!!!!!!!
what is the standard deviation for 9, 8, 1, 11, 1, 12, 9, 12, 4, 12
Answer
I can't tell what you're asking but here is all the things
Step-by-step explanation:
Total Numbers: 10
Mean (Average): 7.9
SD: 4.38305
Variance (SD): 19.21111
Population SD: 4.15812
Variance(Population SD): 17.29
Find the mean and median of the data 1.2,1.7,1.7,2.1,1.4,1.2,1.9
Step-by-step explanation:
To find the mean of the given data, we add all the numbers and then divide by the total number of values:
1.2 + 1.7 + 1.7 + 2.1 + 1.4 + 1.2 + 1.9 = 10.2
Mean = 10.2 / 7 = 1.4571 (rounded to four decimal places)
To find the median, we need to arrange the data in order from smallest to largest:
1.2, 1.2, 1.4, 1.7, 1.7, 1.9, 2.1
The median is the middle value. Since there are an odd number of values, the median is the fourth value, which is 1.7.
Therefore, the mean of the data is 1.4571 and the median is 1.7.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
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The scale on a map is 1:320000
What is the actual distance represented by 1cm?
Give your answer in kilometres.
By answering the presented question, we may conclude that Therefore, 1 expressions cm on the map corresponds to a real distance of 3.2 km.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Scale 1:
320000 means that 1 unit on the map represents his 320000 units in the real world.
To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.
1 kilometer = 100000 cm
So,
1 unit on the map = 320000 units in the real world
1 cm on the map = (1/100000) km in the real world
Multiplying both sides by 1 cm gives:
1 cm on the map = (1/100000) km * 320000
A simplification of this expression:
1 cm on the map = 3.2 km
Therefore, 1 cm on the map corresponds to a real distance of 3.2 km.
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X,(x-36) What is the value of x
The value of x is 63
How to determine the valueTo determine the value of the variable, we have that;
Angles at a point is equal to 360 degreesComplementary angles are defined as angles that sum up to 90 degreesSupplementary angles are defined as angles that sum up to 180 degreesAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
x and x - 36 are complementary angles
Now, equate the angles to 90 degrees, we have;
x + x - 36= 90
collect the like terms, we get;
2x = 90 + 36
add the terms
2x =1 26
Divide by the coefficient
x = 63
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Complete question:
The angles X,(x-36) are complementary. What is the value of x
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 150 and 156 miles in a day. Round your answer to four decimal places.
The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.
How to calculate the probability distribution?The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,
Z = (X - μ)/σ
Where X - random variable; μ - mean; σ - standard deviation;
Then the probability is calculated by P(Z < x), using the values from the distribution table.
Calculation:The given data has the mean μ = 120 and the standard deviation σ = 18
Z- score for X =150:
Z = (150 - 120)/18
= 1.67
Z - score for X = 156:
Z = (156 - 120)/18
= 2
So, the probability distribution over these scores is
P(150 < X < 156) = P(1.67 < Z < 2)
⇒ P(Z < 2) - P(Z < 1.67)
From the standard distribution table,
P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254
On substituting,
P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471
Rounding off to four decimal places,
P(150 < X < 156) = 0.0247
Thus, the required probability is 0.0247.
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The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Match the equation to the answer.
Gus has a fish tank that holds
4710
47104710 inches
3
3
cubed of water. He is using a cylinder shaped bucket with a radius of
5
55 inches and a height of
20
2020 inches to fill the tank.
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
Use
3.14
3.143, point, 14 for
π
Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.
To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values into the formula gives:
V = 3.14 x 5² x 20
V = 3.14 x 25 x 20
V = 1570 inches³
Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:
4710 / 1570 = 3
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Complete question is:
Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
mariana and her children went into a movie theater that sells bags of popcorn for $6 each and candies for $4 each. mariana has $80 to spend and must buy at least 16 bags of popcorn and candies altogether. if a represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.
As per the given data:
The number of popcorn bags is x
The number of candies is y
The cost of each popcorn bag is $7
The cost of each candy is $4
She has $80 to spend on them
Inequality is the nonequal comparison of two or more variables and numbers.
So the first inequality is
7 x + 4 y ≤ 80
Since she must buy no less than 16 bags of popcorn and candies
The second inequality is
x + y ≥ 16
The red area represents the 1st inequality
The blue area represents the 2nd inequality
The solutions lie in the common part of red and blue colors
One possible solution is ordered pair (9,5)
(Graph attached at the end of solution)
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WHAT DO THESE MEAN OMG PLEASE HELP ME THEIR MY LAST 2 QUESTIONS
Can anyone please help me with this Math question?
Soon as possible!
All of these methods will find the inverse of a function except which one ?
Which one is incorrect ?
Group of answer choices
Replace the x with y and y with x then solve for y.
Reverse the x and y values of the ordered pairs.
Reflect the graph of the function through y = x
Change the signs of the terms.
Answer:
Step-by-step explanation:
Changing the signs rotates rotates the graph 180 degrees which is not an inverse function.
If there are 28 apples and 42 bananas for a fruit basket, fill out all of the possible ratios of apples to bananas that could be made.
Answer:
28:42
12:21
4:7
Step-by-step explanation:
To get 12:21, divide both numbers by two
To get 4:7, divide 12:21 by 3
Answer:
28:42, 21:14, 7:10.5, 56:84
There are a lot more, but for the basics of ratios you only need to know this:
- The order is very important in the ratio, whatever number came first stays in that order.
- You can only multiply or divide the same numbers. For instance, if the ratio was 1:2, you would multiply or divide the numbers by the same number.
- When you multiply or divide the ratio/numbers, you cannot not only do whole numbers, but also decimals like 0.25 or mixed decimals like 1.5.
- Remember numbers are infinite, so you can multiply or divide your ratio/numbers by any decimal or number.
Hope this helps! :D
a line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?
Answer:
Step-by-step explanation:
Equation for line of slope -6 that passes through (0,-2):
y+2 = -6(x-0)
y = -6x - 2
Plug in (g,-8) and solve for g:
-8 = -6g - 2
g = 1
If carpet costs $3.25 per square yard, how much would it cost to carpet a rectangular room that is 8 yards wide and 12 yards long?
Answer: $312.00
Step-by-step explanation:
By multiplying the area of the floor wanted to be carpeted by the price rate, you can conclude that this room would cost $312 dollars to be carpeted.
Sammi built a dunk tank for the school festival. The tank holds 350 gallons of water, and she needs to convert that measurement to liters. Her work is shown below.
StartFraction 350 gallons Over 1 EndFraction times StartFraction 1 gallon Over 3.79 liters EndFraction almost-equals 92.3 liters
What is Sammi’s error?
Answer: The conversion factor should have gallons in the denominator.
Step-by-step explanation:
A. The conversion factor should have gallons in the denominator.
Hello,
I have paid the $29.00 monthly subscription for my son (jalen); I have signed up only to pay the monthly payment. Sorry to say, he does not live with me. I earlier sent you an email explaining the same with no reply from you. So how does he proceed using his information to freely access your program?
Looking forward to hearing from you shortly.
THANKS,
climacus
Answer:
Step-by-step explanation:
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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The t distribution is a family of similar probability distributions, with each
individual distribution depending on a parameter known as the
Group of answer choices
degrees of freedom
sample size
standard deviation
population mean
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
How are the degrees of freedom determined?
When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom are frequently addressed in relation to different types of statistical hypothesis testing, like a chi-square.The number of independent bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. It is determined by subtracting the number of constraints from the sample size.Finding essential cutoff values for inferential statistical tests requires consideration of the degree of freedom. Degrees of freedom often (but not always) relate to sample size depending on the sort of study you conduct.Hence, the t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
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What is the perimeter of a rectangle 15x4
Answer:
38
Step-by-step explanation:
perimeter = 2(l+b)
Where l is the length of the rectangle
b is the breadth of the rectangle
P = 2(15+4)
P = 2 × 19
P = 38
A sculptor is planning to order a rectangular of composite stone to sculpt a lion. The sculptor anticipated that the lion will be 5 feet long, about 2 feet wide and at the tallest part of the lions body, have a height of 3.5 feet. The composite stone weighs 40 pounds per cubic foot. To the nearest cubic foot, estimate the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue
In order to sculpt the lion, the scupltor must have, at least, a rectangular composite that has the maximum dimensions of the final sculpture.
Thereby,
\(5ft\cdot2ft\cdot3.5ft=35ft^3\)The rectangular composite would need to have a volume of 35 cubic feet.
Now, let's use a rule of three to calculate the weight of the composite, since we're given its density:
This way,
\(x=\frac{35\cdot40}{1}\rightarrow1400lbs\)We can conclude that the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue is 1400 lbs
I need help! Whoever can solve this I'll give you the brainliest!
Answer:
it should be 21 if I did this right.
Step-by-step explanation:
you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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what type of charge does a proton in an atom hold