Answer:
The length of each side is 8m.
Step-by-step explanation:
P=4s
32=4s
s=32/4=8
Determine if the two figures are similar by using transformations
Step-by-step explanation:
they are the same because FIGH just the ENLARGEMENT of ABCD
Which mathematical property is illustrated? ab + c = c + ab
Answer:
Distributive Property
Step-by-step explanation:
a(b + c) = ab + ac
Answer:
Commutative property
Step-by-step explanation:
plz give brainliest lol
1. Factorize :
(a) 2x + 6
Answer:
2(x+3) is the correct answer
Step-by-step explanation:
2 × x=2x 2×3=6
2x+6
2(x+3)
Answer:
2x=6/:2
x=3
that's the answer
The Dance Marathon is a 30 hour event during which people can make online or cash donations. Assume that 70% of the donations are made online and all other donations are made by cash. Donations can be modeled using a Poisson Process with a rate of 7 donations per hour.
a) How many donations can the organization expect to receive during the event?
b) If every online donation is $100 and every cash donation has an equal probability of being either $25 or $75, how much money does the event expect to bring in?
a)The organization can expect to receive a total of 210 donations during the event.
b)Total expected amount $17,850.
a) To answer this question, we need to first find the expected number of online donations and the expected number of cash donations.
The total rate of donations is 7 donations per hour, so the rate of online donations is 0.7*7=4.9 donations per hour and the rate of cash donations is 0.3*7=2.1 donations per hour.
Using the Poisson distribution formula, we can find the expected number of online donations:
Expected number of online donations = (rate of online donations)*(duration of event in hours) = 4.9*30 = 147
Similarly, we can find the expected number of cash donations:
Expected number of cash donations = (rate of cash donations)*(duration of event in hours) = 2.1*30 = 63
Therefore, the organization can expect to receive a total of 147 + 63 = 210 donations during the event.
b) To find the expected amount of money the event will bring in, we need to first find the expected amount of money from online donations and the expected amount of money from cash donations.
The expected amount of money from online donations is simply the expected number of online donations multiplied by the amount of each donation, which is $100. So:
Expected amount of money from online donations = (expected number of online donations)*(amount of each online donation) = 147*$100 = $14,700
To find the expected amount of money from cash donations, we need to first find the probability of each cash donation being $25 or $75. Since the two possibilities are equally likely, the probability of a cash donation being $25 is 0.5 and the probability of a cash donation being $75 is also 0.5.
Using this information, we can find the expected amount of money from cash donations:
Expected amount of money from cash donations = (expected number of cash donations)*(expected amount of each cash donation) = 63*((0.5*$25) + (0.5*$75)) = 63*$50 = $3,150
Therefore, the event is expected to bring in a total of $14,700 + $3,150 = $17,850.
a) To calculate the expected number of donations during the 30-hour Dance Marathon, you can multiply the rate of donations per hour (7) by the total number of hours (30).
Expected donations = 7 donations/hour * 30 hours = 210 donations
b) To calculate the expected amount of money raised during the event, first determine the number of online and cash donations. Since 70% of donations are made online:
Online donations = 210 donations * 0.7 = 147 donations
Cash donations = 210 donations * 0.3 = 63 donations
Next, calculate the expected amount of money from online and cash donations. Since each online donation is $100:
Online donation total = 147 donations * $100 = $14,700
For cash donations, there is an equal probability of receiving $25 or $75. The expected value for a cash donation is the average:
Expected value of cash donation = ($25 + $75) / 2 = $50
Now, calculate the total expected amount from cash donations:
Cash donation total = 63 donations * $50 = $3,150
Finally, add the online and cash donation totals to get the expected amount raised:
Total expected amount = $14,700 + $3,150 = $17,850
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The area of a triangle is 40
the length is x+4 and the height is x
what is the value of x
Answer:
16
Step-by-step explanation:
Area of a triangle = 1/2(b×h)
b or l = x+4
h = x
a = 40
1/2(x+4 × x) = 40
1/2(x+4 × x) = 40x + 4 × x / 2 = 40
4 × x = 4x
4x + x = 5x
5x/2 = 40
cross-multiply
40 × 2 = 5x
40 × 2 = 5x80 = 5x
divide both sides by 5
5x/5 = 80/5
5x/5 = 80/5x = 16
The Demand Curve For Original Artwoman Comics Is Given By
q = (433-p)^2/50
where q is the number of copies the publisher can sell per weekrit sets the price at (a) Find the price elasticity of demand when the prices at $35 per copy
The price elasticity of demand at a price of $35 per copy is:
E = - 14 * (35 / 69.62)
E = - 7.05
How to find the price elasticity of demand?To find the price elasticity of demand, we first need to find the derivative of the demand function with respect to price:
\(q = (433 - p)^2 / 50\)
q' = (2 / 50) * (433 - p) * (-1)
q' = - (433 - p) / 25
Now we can find the price elasticity of demand at a price of $35 per copy:
E = (p / q) * (dq / dp)
E = (35 / q) * (- (433 - 35) / 25)
E = (35 / q) * (- 398 / 25)
E = - 14 * (35 / q)
To find q at a price of $35 per copy, we substitute p = 35 into the demand function:
\(q = (433 - 35)^2 / 50\)
q = 3481 / 50
q = 69.62
Therefore, the price elasticity of demand at a price of $35 per copy is:
E = - 14 * (35 / 69.62)
E = - 7.05
The negative sign indicates that the demand is elastic, meaning that a small change in price will lead to a relatively large change in the quantity demanded.
In this case, a 1% decrease in price will result in a 7.05% increase in quantity demanded.
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If the variance is 4.4 grams, what is the standard deviation? Leave your answer with one decimal place.
If the variance is 4.4 grams , then the standard deviation will be equal to 2.1 .
The Standard Deviation is defined as the square root of the variance, and is a measure of the amount of variation or dispersion of the data around the mean. It's expressed in same units as data.
The variance of data is = 4.4 grams,
In order to find standard deviation , we take square root of variance ;
⇒ √4.4 ≈ 2.1 ;
This means that on average, the data points in the set are about 2.1 grams away from the mean.
Therefore , the standard deviation is approximately 2.1 .
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How do you decide if a decimal is a rational number?
A. Check whether the decimal never terminates nor repeats.
B. All decimals are irrational numbers.
C. Check whether the decimal terminates in 0s or repeats.
D. All decimals are rational numbers
A. if it repeats it is irrational if it terminates it is rational
How to tell the difference between permutation and combination?.
Answer:
Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.
Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.
Sam has a goal of walking (3)1/2 miles by the end of the day. He walks (1)1/8 miles before lunch and 3/4 miles after resting. What is the remaining distance, in miles, that same needs to walk to reach his goal?
Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.
To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.
Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:
Total distance walked = (1)1/8 + 3/4
To add these fractions, we need to find a common denominator, which is 8 in this case
Total distance walked = (9/8) + (6/8)
= 15/8
= 1 (7/8)
Now, we subtract the total distance walked from Sam's goal distance:
Remaining distance = (3)1/2 - 1 (7/8)
To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:
Remaining distance = (6/2 + 1/2) - (15/8)
= (12/8 + 1/8) - (15/8)
= 13/8 - 15/8
= -2/8
= -1/4
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Anna want to ell toy car at a craft fair for $ 12 each. The material for each car cot $ 3. 50 and the table rental at the fair i 34 dollar for the day. How many car mut anna ell for her revenue to equal her expenence
The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.
Algebra with one variableTo calculate the algebra with one variable, sum up all the same variable and count the value.
Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.
Find the toy cars must Anna sell for her revenue to equal her expense!
We have
Price of each toy car = $12Material of each toy car = $3.5Rental table = $34 per dayLet's say
a = the number of toy cars soldRevenue = Expense
a × $12 = (a × $3.5) + $34
12a = 3.5a + 34
12a - 3.5a = 34
8.5a = 34
a = 4 toy cars
Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.
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The table shows conversions of common units of length.
Approximately how many inches are in 2500 millimeters?
Please hurry up with your answer!!
Answer:
98.4252
Step-by-step explanation:
This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.
Answer:
It’s would be 98
Step-by-step explanation:
Have a good rest of your day:)
help please if you can thanks!
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
I HOPE THAT YOU CAN HELP I WILL MARK BRAINLIEST
Answer:
it's answer is D
-6 , -1 ,4 , 9
Hope it will help :)❤
item that costs x dollars. He has a
Hudson goes to a store an buys an
coupon for 20%
off, and then a 5% tax is added to the discounted price. Write an expression in terms
of I that represents the total amount that Hudson paid at the register.
Answer:
bro just do it by ypur self
Answer:
x - .2x + .05(x - .2x)
Step-by-step explanation:
Let x = the original cost
x - .2x + .05(x - .2x)
We are taking the original cost and subtracting out the discount.
The tax is paid on the discounted cost.
You change percents to decimals by dividing by 100.
Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)
The points on the graph ( b , c )
I hope I helped you ^_^
F(x)=x²-1/x+1
F'(x)= Lim h=0 (x+h) -f(x)/h
Answer:
So the derivative of the function F(x) = x^2 - 1/x + 1 is F'(x) = 2x - (x - 1)/x^2.
Step-by-step explanation:
The derivative of the function F(x) = x^2 - 1/x + 1 can be found by using the limit definition of the derivative. The derivative is the rate of change of the function at a given point and it is calculated as:
F'(x) = Lim h=0 (x + h)^2 - 1/(x + h) + 1 - (x^2 - 1/x + 1)/h
Expanding the expression inside the limit and simplifying, we get:
F'(x) = Lim h=0 2xh + h^2 - (1 - hx)/(x + h)^2
Using L'Hopital's Rule, we get:
F'(x) = Lim h=0 2x + 2h - (x - 1)/(x + h)^2
As h approaches 0, the limit becomes:
F'(x) = 2x + 2(0) - (x - 1)/x^2 = 2x - (x - 1)/x^2
So the derivative of the function F(x) = x^2 - 1/x + 1 is F'(x) = 2x - (x - 1)/x^2.
In Luther v Borden, 1849 the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government. T or F?
In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.
Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.
The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.
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Farmer Cora has 128 onions to sell She wants to put the same number if onions in each bag without any onions left over. How many onions could Farmer Cora put in eache bag?
Answer:
Step-by-step explanation:
If Farmer Cora has a total of 128 onions and wants to place an equal number in each bags then, seeing since he has not decided on the amount of bags, he has the following options
128 onions in 1 Bag
64 onions in 2 Bag
32 onions in 4 Bag
16 onions in 8 Bag
8 onions in 16 Bag
4 onions in 32 Bag
2 onions in 64 Bag
1 onion in 128 Bag
Any of the above options will make each bag have an equal number of onions.
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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Let x and y be real numbers such that x < 2y. Prove that if
7xy ⤠3x2 + 2y2, then 3x ⤠y.
To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.
Start by assuming the opposite, that is, 3x > y.
From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)
We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)
Simplifying, we get:
\(y(14x - 12y) \leq 0\)
Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.
If y ≤ 0, then 3x ≤ y is trivially true.
If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)
But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.
Therefore, we can conclude that 3x ≤ y.
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Natalie needs to compare the number of employees by job title for the last five years. Which of the following charts should Natalie use?
Answers: A. Pie chart
B.Clustered column chart
C.Histogram
D.Scatter chart
Natalie should use Clustered Column Chart.
What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.
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Write each expression in standard form.
6(−5 − 4)− 2( − 7 − 3)
Answer:
heyyy wassuppp
Step-by-step explanation:
what is the value of s?
___ units
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
What variables could be of interest to generate environmental data? Note: think of the variable, the sensors, and the data each Pollution levels Air quality Ozone concentration Storm intensity Vegetation density Earthquake intensity Wild life diversity You have used 1 of 4 attempts Save
The following are the variables that could be of interest to generate environmental data: Pollution levels: Pollution levels are a measure of the degree to which the air is contaminated.
Contaminants in the air, such as particulate matter and toxic gases, can be hazardous to human health and the environment, and monitoring them can provide valuable data on air quality.Air quality: Air quality refers to the level of pollution in the air. This could include measurements of various pollutants, such as nitrogen dioxide, sulfur dioxide, and particulate matter. This data can be gathered by a variety of sensors, including gas analyzers, particle counters, and spectrometers.Ozone concentration: Ozone concentration refers to the amount of ozone in the air. Ozone is a powerful oxidant that can have both beneficial and harmful effects on human health and the environment. Storm intensity: Storm intensity refers to the severity of a storm.
This could include measurements of wind speed, rainfall, and lightning activity. Data on storm intensity can be gathered using weather stations, Doppler radar, and lightning detection systems.Vegetation density: Vegetation density is a measure of how much plant life is present in a given area. This data can be used to monitor changes in ecosystems over time and to assess the impact of human activities on the environment. Vegetation density can be measured using satellite imagery, ground-based surveys, and remote sensing technologies.Earthquake intensity: Earthquake intensity refers to the strength of an earthquake. This could include measurements of ground motion, ground acceleration, and ground displacement. Data on earthquake intensity can be gathered using seismometers and other ground-based sensors. Wildlife diversity can be measured using a variety of techniques, including surveys, camera traps, and acoustic monitoring.
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Find the area of the triangle below.
Answer:
203.5 units
Step-by-step explanation:
The equation to find the area of a triangle is:-
\(\frac{1}{2}\) x base x height
The base of this triangle is 37 units and its height is 11 units.
Substituting these values in the equation, we get:-
\(\frac{1}{2}\) x 37 x 11
\(\frac{1}{2}\) x 407
\(\frac{407}{2}\)
Area equals 203.5 units.
Answer:
203 1/2 or 203.5
Step-by-step explanation:
we know that a area of a triangle is base x height divided by 2. So we multiply the value of the base than the height of the unit of the base which contains 37x11 and then divide by 2 to get the inside of the triangle unit.
Kurt company purchased $5000 of merchandise from Marilyn company with terms of 2/10 n/40. What amount will Kurt company pay to Marilyn company if Kurt company takes advantage of the purchase discount?
If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.
To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.
The total amount of merchandise purchased is $5000.
To calculate the discount amount, we multiply the total amount by the discount percentage:
Discount amount = 2% of $5000 = 0.02 * $5000 = $100
Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.
The amount Kurt company will pay to Marilyn company is:
Total amount - Discount amount = $5000 - $100 = $4900
Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
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Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answer:
Step-by-step explanation:
\((x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3\)
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
Evaluate ∬D (x2+y2)^3/2 dA, where D is the region bounded by y = − x,x^2+y^2 = 1and the x-axis in the second quadrant.
The double integral over the region D is equal to 3π/16.
We are given the region D in the second quadrant, which is bounded by the curve x^2 + y^2 = 1, the line y = -x, and the x-axis. To evaluate the double integral over this region, we will need to transform the integrand into a suitable form for integration. We start by using polar coordinates, which are well-suited for circular regions:
x = r cos(θ)
y = r sin(θ)
We can rewrite the equation of the circle as:
r^2 = x^2 + y^2 = 1
And the equation of the line as:
y = -x
Substituting the polar coordinates, we get:
r sin(θ) = -r cos(θ)
tan(θ) = -1
Since we are in the second quadrant, we have π/2 ≤ θ ≤ π. Thus, we have:
θ = -π/4
We can now transform the integrand using the polar coordinate substitution. We have:
(x^2 + y^2)^(3/2) = r^3
dA = r dr dθ
The limits of integration are:
0 ≤ r ≤ 1
-π/4 ≤ θ ≤ π/2
Therefore, the double integral becomes:
∬D (x^2 + y^2)^(3/2) dA = ∫(-π/4)^(π/2) ∫0^1 r^3 * r dr dθ
= ∫(-π/4)^(π/2) [1/4 r^5]_0^1 dθ
= ∫(-π/4)^(π/2) 1/4 dθ
= [1/4 θ]_(-π/4)^(π/2)
= π/16 + π/8
= 3π/16
Therefore, the double integral over the region D is equal to 3π/16.
Double integrals are a fundamental concept in multivariable calculus, and are used to compute the volume or area of a solid or surface in 3D space.
In this problem, we are asked to evaluate a double integral over a region in the second quadrant that is bounded by a curve, a line, and the x-axis. The integrand is a function of x and y, which we will need to transform into a suitable form for integration.
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