A building is casting a 10 meter shadow. Kobe is 2 meters tall and is casting a shadow of 4 meters.
How tall is the building?
Use the given graph to determine the limit, if it exists
Answer:
Limit does not exist at x=3.
Step-by-step explanation:
Using the given graph, we need to check whether the limit exists or not.
From the given graph it is clear that
1. When x approaches to 3 from the left side then function approaches to -1.
2. When x approaches to 3 from the right side then function approaches to -3.
3. When x=3, the value of function is 7.
So, we conclude that
\(LHL=\lim\limits_{x\to 3^-}f(x)=-1\)
\(RHL=\lim\limits_{x\to 3^+}f(x)=-3\)
\(\lim\limits_{x\to 3}f(x)=7\)
Since \(LHL\neq RHL\), therefore the limit does not exist at x=3.
Lynn drives her car for work and drives an average of 1,100 miles each month. if her car gets 23 miles per gallon, how much fuel does she use each month?
Lynn used \(47.826\) gallons fuel in each month.
Average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Gallon is the unit for measuring liquids (fuel).
Mile is a unit of large distance.
Given,
Lynn drive her car for work an average of \(1100\) miles
Car get \(23\) miles per gallon.
It's mean car covers \(23\) miles distance in \(1\) gallon of fuel.
She used fuel in each month
\(=\frac{Total miles}{miles per gallon} \\=\frac{1100}{23}\\ =47.8260 gallon\)
Lynn used \(47.826\) gallons fuel in each month.
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q=mc(T₂-T₁)
Solve for T₂
Suppose f(x) =x^2. Find the graph of f(x+5)
After applying the transformation, the parent function will shift to the left by 4 units and the graph is shown in the picture.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
f(x) = x²
The above function represents a parabola.
The transformation need to apply:
x → (x + 5)
f(x+ 5) = (x + 5)²
The parent function will shift 5 units left.
Thus, after applying the transformation, the parent function will shift to the left by 5 units and the graph is shown in the picture.
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1 8. An elevator at a warehouse can carry up to 180 kilograms of weight. An employee using the elevator is carrying two cases that have weights of 11.6 kilograms and 45.8 kilograms. The employee weighs 62.3 kilograms. The employee has room for one more case in the elevator. Which weight could represent the third case that the employee could carry without going over the maximum weight allowed in the elevator? F. 59.7 kilograms G. 119.7 kilograms H. 180 kilograms 60.7 kilograms
Given all the weights and the total capacity of the elevator, we have the following expression:
\(11.6+45.8+62.3+x\leq180\)where 'x' denotes the weight of the third case.
Solving for x, we get the following:
\(\begin{gathered} 11.6+45.8+62.3+x\leq180 \\ \Rightarrow119.7+x\leq180 \\ \Rightarrow x\leq180-119.7=60.3 \\ x\leq60.3 \end{gathered}\)therefore, the third case must weigh 60.3 kg or less.
What is the composition of the translations
(T〈−3, 4〉 ∘ T〈8, −7〉)(x, y) as one translation?
Given:
The composition of the translations is
\((T\langle-3,4\rangle \circ T\langle 8,-7\rangle )(x,y)\)
To find:
The composition of the translations in one translations.
Solution:
We know that, \((T\langle-3,4\rangle \circ T\langle 8,-7\rangle)(x,y)\) means \(T\langle 8,-7\rangle (x,y)\) is followed by \(T\langle -3,4\rangle (x,y)\).
In \(T\langle 8,-7\rangle (x,y)\),
\((x,y)\to (x+8,y-7)\)
So, \(P(x,y)\to P'(x+8,y-7)\).
In \(T\langle -3,4\rangle (x,y)\),
\((x,y)\to (x-3,y+4)\)
\(P'(x+8,y-7)\to P''((x+8)-3,(y-7)+4)\)
\(P'(x+8,y-7)\to P''(x+5,y-3)\)
Now, after composition of the translations
\(P(x,y)\to P''(x+5,y-3)\)
Here, rule of translation is
\((x,y)\to (x+5,y-3)\)
Therefore, rule of translation is \(T\langle 5,-3\rangle (x,y)\).
Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
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Connor is a 400m runner His median time is
Answer: 57.8
Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8
Aaron is putting new flooring in his bedroom and closet. If the bedroom is 12 ft by 14 ft and his closet is 2ft by 8ft how much flooring is he going to need?
imagine two rectangles representing his bedroom and closet
the bedroom rectangle is 12 * 14 feet, the closet rectangle is 2 * 8 ft.
to floor these rectangles, we need some amount of surface area of flooring
multiply them out to find their individual areas
12 * 14 = 168
2 * 8 = 16
add them
total area = 184
since we multiplied length by width, or like a square, and the units are feet, this is 184 square feet
hope this helps : )
jeron
to determine her , divides up her day into three parts: morning, afternoon, and evening. she then measures her at randomly selected times during each part of the day.
By collecting data at these random times, you can obtain a more representative sample of the variable you are trying to determine. Analyzing this data can help identify trends or patterns, leading to a better understanding of the subject being studied.
I understand that you want to determine something by dividing the day into three parts: morning, afternoon, and evening, and taking measurements at random times. To do this, you can use a systematic approach.
First, divide the day into the three specified parts. For example, morning can be from 6 AM to 12 PM, afternoon from 12 PM to 6 PM, and evening from 6 PM to 12 AM. Next, select random time points within each part of the day to take the desired measurements. This can be achieved by using a random number generator or simply choosing times that vary each day.
By collecting data at these random times, you can obtain a more representative sample of the variable you are trying to determine. Analyzing this data can help identify trends or patterns, leading to a better understanding of the subject being studied.
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Determine whether the series is convergent or divergent. 3^(n+1)4^-n If it is convergent, find its sum.
Geometric series is convergent if the |r|<1 where r is the common ratio.
Let Sn=∑ni=0(−3/4)i then
Sn=(−3/4)n+1−1(−3/4)−1
Now take n→∞ then
Sn→0−1(−3/4)−1=4/7
because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is
lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.
Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.
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Write three ratios that are equivalent to the one glvens The ratio of right-handed students to left-handed students is 18:4.
Answer:
9:2 36:8 72:12
Step-by-step explanation:
PLS HURRY I WILL MARK BRAINLIEST FOR CORRECT ANSWER!
The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour. Determine in how many hours the temperature will be 36 degrees Fahrenheit.
Answer:
It is -3 degrees Celsius per 1 hour
Step-by-step explanation:
Answer:
it would take 8 hours brainlieast please
Step-by-step explanation:
please help I can not understand the question
Answer:
4 regular coffees
Step-by-step explanation:
if the cafe served 10 coffees in total and it says that 40%
of them were regular, then that means you have to find 40% of 10 which is 4.
Necesito saber entre cuánto multiplicar para tener 3 de resultado15x?
= 3
Step-by-step explanation:
when you use 3 por multiply the answer is 5×
(5×)+3
when an arch is extended overhead into a half cylinder it is known as a
When an arch is extended overhead into a half cylinder, it is known as a barrel vault.
A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.
Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.
Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.
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4 out of 5 dentists prefer Crest. If they asked 30 dentists what tooth paste they prefer, how many did NOT PREFER Crest.
Answer:
24 would prefer CREST
6 woul NOT prefer Crest
Step-by-step explanation:
4:5=x:30
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!
Answer:
A is the answer i believe
Step-by-step explanation:
-5/11 from -8/11
substract
Answer:
3/11
Step-by-step explanation:
-5/11-(-8/11)
-5/11+8/11
3/11 will be the answer
Answer:
5/11 from -8/11 is equal to -3/11.
Step-by-step explanation:
To subtract fractions with like denominators, you simply subtract the numerators and keep the denominator the same.
So, to find -5/11 from -8/11, we have:
-8/11 - (-5/11)
= -8/11 + 5/11 (Note: subtracting a negative is the same as adding a positive)
= (-8 + 5)/11
= -3/11
Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2,...) 1/3 middot 4, 2/4 middot 5, 3/5 middot 6, 4/6 middot 7,... Find the first five terms of the given recursively defined sequence. a_n = 3a_n - 1 + 5 and a_1 = 3
Expression for the nth term of the sequence: (n + 1) / (n + 3).The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.
To find the expression for the nth term of the sequence, we observe that each term can be expressed as (n + 1) divided by (n + 3), where n represents the position of the term in the sequence.
Let's verify this formula with the given terms:
For n = 1: (1 + 1) / (1 + 3) = 2 / 4 = 1/2 (first term of the sequence)
For n = 2: (2 + 1) / (2 + 3) = 3 / 5 (second term of the sequence)
For n = 3: (3 + 1) / (3 + 3) = 4 / 6 (third term of the sequence)
For n = 4: (4 + 1) / (4 + 3) = 5 / 7 (fourth term of the sequence)
For n = 5: (5 + 1) / (5 + 3) = 6 / 8 = 3 / 4 (fifth term of the sequence)
Therefore, the first five terms of the given sequence are: 1/2, 3/5, 4/6, 5/7, 3/4.
The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.
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Find the sum of the first 10 terms of the following series, to the nearest integer.
8,20/3,50/9
The sum of the first 10 terms of the given series 8,20/3,50/9... is 140.
Given series: 8,20/3,50/9...
The given series is not in a standard form, but it appears to be an arithmetic sequence with a common difference of 4/3. To check this, we can find the difference between consecutive terms:
20/3-8=4/3
50/9-20/3=4/3
Thus, the common difference is indeed \(\frac{4}{3}\).
We notice that each term of the series can be written as:
a_n=a+(n-1)d
a_n=8+(n-1)(4/3)
where n is the index of the term, and 4/3 is the common difference between the consecutive terms.
To find the sum of the first 10 terms of the series, we use the formula for the sum of an arithmetic series:
S=(n/2)[2a_1+(n-1)d]
where S is the sum of the series, a_1 is the first term of the series, d is the common difference, and n is the number of terms to be added.
Substituting the given values, we get:
S=(10/2)[2*8+(10-1)(4/3)]
Simplifying the expression:
S=5[16+9(4/3)]
S=5[16+12]=5(28)=140
Therefore, the sum of the first 10 terms of the series is 140.
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Find m < b
Picture Included
Answer:
<b= 48 degree
Step-by-step explanation:
<A + <B + <C = 180 degree (Sum of angles in a triangle)
<A = 90 degree
<B = 2x + 14 degree
<C = 4x - 26 degree
\(90+2x+14+4x-26=180 degree\\2x+4x=180+26-90-14\\6x=102\\x=\frac{102}{6} \\x=17 degree\\\)
Therefore, <B = 2x + 14 = 2(17) + 14 = 34 + 14 = 48
<b = 48 degree
PLEASE I NEED HELP FASTTTTT
Answer:
A
Step-by-step explanation:
Median= 14
Mean= 14
4) In a survey, the ratio of students who prefer
Italian dressing to ranch dressing is 3 to 10. If
the number of students who prefer Italian is
45, how many students prefer ranch?
usage patterns are a variable used in blank______ segmentation.
Answer:
usage patterns are a variable used in market segmentation.
Step-by-step explanation:
Usage patterns are a variable used in behavioral segmentation.
Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.
Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.
By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.
Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.
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Sam is renting one of 2 cars to go on a 300-mile gas trip. The first car travels 75 miles on 5 gallons of Gas. The second car travels 240 miles using 20 gallons of gas. Each car costs the same to rent, and Sam wants to rent the car with the better gas mileage. Sam estimates you have to pay 49.42 per 14 gallons. Which car should he buy?
Answer:
I would go with the first car.
Step-by-step explanation:
If you multiply the first cars miles by four because it shows its total distance off of 5 miles, you will get 300 miles in 20 gallons. This is a higher rate than the second car.
The formula A = Pe^rt gives the balance A of an account earning what type of interest?
The formula A = Pert gives the balance A of an account earning interest compounded daily.
The formula A = Pert gives the balance A of an account earning interest compounded monthly.
The formula A = Pert gives the balance A of an account earning interest compounded continuously.
The formula A = Pert gives the balance A of an account earning interest compounded quarterly.
From the given options, Option (C) shows the type of compound interest earned.
Formula for the compound interest earned continuously is given by,
\(A=P.e^{rt}\)
Here, \(A=\) Final amount
\(P=\) Principal amount
\(r=\) rate of interest
\(t=\) Time
Therefore, Option (C) will be the correct option.
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Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
P
50⁰
5 R
A. SAS theorem
50°
B. Similarity cannot be determined.
OC. AA postulate
D. SSS theorem
15
Zo
The similarity theorem used for this problem is given as follows:
A. SAS theorem.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.
The sides forming a proportional relationship are given as follows:
3 and 9.5 and 15.The angle of 50º between these two sides also forms a proportional relationship, hence the SAS theorem can be used.
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A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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