The area of the rectangle = 338 square units
The co-ordinate plane has two axes X and Y.
The points in the co-ordinate plane is given as U(4, -6) to V(-8, -11).
i.e., (x₁, y₁) = (4, -6) and (x₂, y₂) = (-8, -11)
The distance between these points are considered as a side of a rectangle.
Distance between U(4, -6) and V(-8, -11) = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
= \(\sqrt{(-8-4)^2+(-11--6)^2}\)
= \(\sqrt{(-12)^2+(-5)^2}\)
= √169
= 13 units
So the length of one side of rectangle, l = 13 units
Let 'w' be the width of the rectangle.
Also perimeter of the rectangle = 78 units
⇒ 2(l +w) = 78
⇒ l +w = 39
⇒ w = 39 -l
⇒ w = 39 - 13
⇒ w = 26 units
Area of the rectangle = length x width
= l x w
= 13 x 26
= 338 square units
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mr.Lloyd wants to buy a new television but does not have enough money in his bank account to pay for once which of these is not an option for mr.Lloyd
Mr. Lloyd could use his credit card to buy the TV. Therefore, option A is the correct answer.
Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.
Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.
Therefore, option A is the correct answer.
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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?
A) He can use his credit card to buy the television now.
B) He can save money and pay cash for the television at a later date.
C) He can use his debit card to buy the television now.
D) He can save money and use his debit card to buy the television at a later date.
Interpreting Graphs of Linear and Exponential Functions in Context - Item 31449
Question 2 of 7
A boat depreciates in value each year. Which of the following is NOT true about the
value of the boat after t years?
(s) onje BOA
20,000 -
16,000 -
12,000 -
8,000
4.000-
0
4
8 12 16%
20
Time yn
CLEAR
CHECK
The value of the boat is decreasing over time,
The boat will be worth more in 20 years than the amount it
was purchased for
The boat was initially purchased for $20,000
After 4 years, the boat will be worth exactly half of its
original price
Answer:
???
Step-by-step explanation:
Simplify 4(3v + 2)
12v + 8
12v + 2
7v - 2
5v
Benecio skis 748 yd in 3 min. At this rate, how many miles does Benecio ski in an
hour in miles?
Answer:
8.5 miles an hour.
Step-by-step explanation:
There are many ways to do this, but I am going to do it the way I think is the most simple.
First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333
Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.
You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
4. Is 3 in the domain of the function ? Why or why not?
The domain of the function f(x) = √(x - 5) is x ≥ 5, thus, x = 3 is not in the domain.
Is 3 on the domain of the function?Remember that for a function y = f(x), we define the domain as the set of the possible inputs.
Here we have the square root function:
f(x) = √(x - 5)
Remember that the argument of a square root needs to be zero or larger, then the domain of the given function is:
x - 5 ≥ 0
Solving for x:
x ≥ 5
The domain is the set of values equal to or larger than 5, thus, the value 3 is not in the domain.
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A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 35 minutes.
Answer:
Step-by-step explanation:
From the given information:
\(R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min\)
Given that the solution is pumped at a slower rate of 4gal/min
Then:
\(R_{out} = \dfrac{4A}{100+(6-4)t}\)
\(R_{out}= \dfrac{2A}{50+t}\)
The differential equation can be expressed as:
\(\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)\)
Integrating the linear differential equation; we have::
\(\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|\)
\(\int_c \dfrac{2}{50 +t}dt = (50+t)^2\)
multiplying above integrating factor fields; we have:
\((50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2\)
\(\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2\)
\((50 + t)^2 A = (50 + t)^3+c\)
A = (50 + t) + c(50 + t)²
Using the given conditions:
A(0) = 20
⇒ 20 = 50 + c (50)⁻²
-30 = c(50) ⁻²
c = -30 × 2500
c = -75000
A = (50+t) - 75000(50 + t)⁻²
The no. of pounds of salt in the tank after 35 minutes is:
A(35) = (50 + 35) - 75000(50 + 35)⁻²
A(35) = 85 - \(\dfrac{75000}{7225}\)
A(35) =69.6193 pounds
A(35) \(\simeq\) 70 pounds
Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
June is baking cupcakes for her birthday party. She has enough batter to make 16 chocolate cupcakes and 8 strawberry cupcakes. What fraction of the cupcakes is chocolate?
What is the quotient of 78,600 divided by 12
The quotient for 78,600 divided by 12 is 6,550
Answer:
6550 I am pretty sure....
Pls answer
Subtract -37 from -53
Answer:
-37 subtract -53
-53 subtract -37 = -16
Step-by-step explanation:
Answer:
The answer is 16
Step-by-step explanation:
-37-(-53) = -37 + 53
You can flip it to 53 - 37 which equals 16.
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a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
help I’ll give you brainliest
Answer:
155
Step-by-step explanation:
Sort them
155 is the median value
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
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2. The population of chickadees in a certain region is smaller by 30% than the population of
phoebes, and the population of blue jays is 30% of the population of phoebes.
The population of phoebes is 12,000.
Find the sizes of the chickadee and blue jay populations in the region.
The population of chickadees in the region is 8,400 and the population of blue jays is 3,600.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
First, we can find the population of chickadees by multiplying the population of phoebes by 0.7 (100% - 30%):
Population of chickadees = 0.7 x 12,000 = 8,400
Next, we can find the population of blue jays by multiplying the population of phoebes by 0.3:
Population of blue jays = 0.3 x 12,000 = 3,600
Therefore, the population of chickadees in the region is 8,400 and the population of blue jays is 3,600.
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Write a story about temperatures that this expression could represent: ½ + (-¾)
Answer:
boom
Step-by-step explanation:
Answer:
so when your in the avatar state it is below zero, so you have to wear warm cloths
Step-by-step explanation:
A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds. A random sample of 120 people in the United States has a mean annual high fructose com syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. At alpha = 0.05, can you reject the claim? Identify the null and alternative hypotheses. Identify which hypothesis is the claim. Use the sample statistics given to find the standardized test statistics: z and P. Make a decision to reject or fail to reject the null hypothesis. Interpret your decision in the context of the original claim.
the result we get is statistically significant. We reject the null hypothesis.
The null hypothesis in the given question is 'the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds' and the alternative hypothesis in the given question is 'the population standard deviation is 3.6 pounds.'
Population mean = 48.8 pounds
Sample size = 120
Sample mean = 49.5 pounds
Population standard deviation = 3.6
α = 0.05
The standardized statistic z is:
z = (Sample mean - Population mean) x (√n / standard deviation)
z = (49.5 - 48.8) x (√120/3.6)
z = 2.13
The standardized statistic P is:
P = 2 - 2 x Φ(z)
P = 2 - 2 x 0.983
P = 0.034
Since, the result we get is statistically significant. We reject the null hypothesis.
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which angle is alternate to the one given as 120°?
Answer:
Obtuse angle plz make me brainliest
Step-by-step explanation:
Answer:
Hello....
Step-by-step explanation:
The answer is 3.
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f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
The median for the data: 10,12,15,16,8, 7 is
Answer:
11
Step-by-step explanation:
7,8,10,12,15,16
12+10=22÷2=11
Answer:
11
Step-by-step explanation:
10, 12, 15, 16, 8, 7
Write the numbers in increasing order:
7, 8, 10, 12, 15, 16
The median is the middle number if there is an odd number of numbers.
Here we have an even number of numbers (6), so the median is the arithmetic mean (average) of the two middle numbers.
median = (10 + 12)/2 = 22/2 = 11
Themes in The Heart of a Samurai?
Answer:
Family. Family is what you make of it in Heart of a Samurai.
Language and Communication.
Principles.
Art and Culture.
Identity.
Change.
Society and Class.
Step-by-step explanation:
Hope this helps:)
Minimize
z = 20x1 + 32x2 + 40x3,
subject to
3x1 + x2 + 6x3 ≥ 9
x1 + x2 ≥ 9
4x2 + x3 ≥ 12
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
solve for x1, x2, x3 and z
Answer:
Step-by-step explanation:
1. constraints with "\(\geq\)" we should subtract surplus variable S1, S2, S3 and add artificial variable A1, A2, A3
Hence Z = 20 x1 + 32x2 + 40x3 + 0S1 + 0S2 + 0S3 + MA1 + MA2 + MA3
subject to
\(3x_1 +x_2+6x_3-S_1+A_1=9\)
\(x_1+x_2-S_2+A_2=9\)
\(4x_2+x_3-S_3+A_3=12\)
and \(x_1,x_2,x_3,S_1,S_2,S_3,A_1,A_2,A_3\geq 0\)
scientist do not accept a nutrition or scientific hypothesis until it has been thoroughly tested using the
The scientific method is a systematic set of method that scientists follow to gain information. we will explore how the scientific method is used in the study of nutrition.
To make the things simple, you might want to think of the scientific method as a pro way to ask questions and find answers. With this in mind, it makes sense that the stride of the scientific method starts when researchers ask questions.
For example, a research scientist might awe whether people who eat an apple a day visit their family doctor hardly times a year than those who do not eat apples.
The scientific method is a nice tool for analyzing nutrition. It has been used to set nutrition advice, understand how nutrients support health and learn how nutrition supports athletic account.
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Using the central limit theorem, what is the (shape of) distribution of sample means when the population distribution is:
rectangular
uniform
normal
positively skewed
nonmodal
multimodal
negatively skewed
(Privitera, 2019, p. 186, #19)
The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
what is normal distribution?
A normal distribution is a bell-shaped probability distribution that is symmetrical and characterized by its mean (μ) and standard deviation (σ). It is also known as a Gaussian distribution, after the mathematician Carl Friedrich Gauss.
However, for smaller sample sizes, the distribution of sample means may still resemble the shape of the population distribution.
Here are some more specific descriptions of the distribution of sample means for different population distributions:
1. Rectangular distribution: The distribution of sample means will approach a normal distribution as the sample size increases, with the mean and median at the center of the distribution.
2. Uniform distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, with the mean at the center of the distribution.
3. Normal distribution: The distribution of sample means will be a normal distribution regardless of sample size, with the mean and median at the center of the distribution.
4. Positively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be higher than the median.
5. Nonmodal distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the nonmodal distribution.
6. Multimodal distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the multimodal distribution.
7. Negatively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be lower than the median.
Therefore, central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
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25% of ⅛ in percent
Answer:
0.0003125%
Step-by-step explanation:
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
What is the sum of the infinite geometric series? -3-3/2
Answer:
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.
Answer:
-6 on edge
Step-by-step explanation:
PLSS HELPPPPPPPPPPPP
Answer:
c Melindas account will have about 5.40 more than olivia's account
Step-by-step explanation: