Answer:
This is a prism since both sides are the same triangle,
Lets find the area of the triangle first then multiply it by the width which is 16.
20.5(base or height) x 13.3(height or base) = 272.65
272.65 divided by 2 ( x 1/2) = 136.325 is your area, now we multiply by the width.
136.325 x 16 = 2,181.2 mm3 is your volume.
Whenever coming across these types of volumes we must first find a shape and find its area then multiply it by the figure's height.
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
During two games, the number of points scored by a basketball team Increased from 75 to 87. By what percentage
did the number of points scored increase?
The percentage of increase in the number of points is 16 %
What Does Percent Mean?
A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%
given the data,
The basketball team's total point total was 75.
The basketball team's enhanced point total was 87.
The difference between the basketball team's total points scored and its increased points are the increase in points.
The increase in points = 87 - 75
= 12 points
So, the percentage increase in points = ( increase in points/number of points scored by the basketball team ) x 100
The percentage increase in points = ( 12 / 75 ) x 100
= 0.16 x 100
= 16 %
Therefore, the percentage increase is 16 %
Hence, the percentage of increase in the number of points is 16 %
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I literally need so much help
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Answer:
[tex]x=\dfrac{\log 6}{\log 23}[/tex]
Step-by-step explanation:
Given exponential equation:
[tex]23^x=6[/tex]
[tex]\textsf{Apply the log law}: \quad a^c=b \iff \log_ab=c[/tex]
[tex]\implies\log_{23}6=x[/tex]
[tex]\textsf{Given change of base formula}: \quad \log_by=\dfrac{\log y}{\log b}}[/tex]
Apply the given change of base formula:
[tex]\implies x=\dfrac{\log 6}{\log 23}[/tex]
HEEEEEELLLPPPPPPPPP!!!!!!!!!!!!!!
A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table on the left.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Answer:
d
Step-by-step explanation:
System of linear inequalities
The girl's swim team is hosting a fundraiser. They would like to raise at least $500.They are selling candles for $5 and flower arrangements for $6.The girls estimate that at most they will sell 200 items. How many candles and flowers arrangement. The girl estimates that at most they will sell 200 items. how many candles and flower arrangements were sold?
S: what is the problem with asking you to find
O:organize, and circle the numbers and underline the following information
let x be ..........
let y be.........
L: write your plan in words.........
set up the equations.........
V: carry out your plan
E: examine the result, write the answer in complete sentences
Then graph the equation
Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.
What is System of Linear EquationA system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.
To solve this problem, we have to set our variables as;
Let;
x = number of candiesy = number of flowersThe equations can be written as;
5x + 6y = 500 ...eq(i)
x + y = 200 ...eq(ii)
From equation ii,
x = 200 - y ...eq(iii)
Put eq(iii) into eq(i)
5(200 - y) + 6y = 500
1000 - 5y + 6y = 500
1000 + y = 500
y = -500
Put y = -500 into eq(ii)
x - 500 = 200
x = 700
From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.
Kindly find the attached graph below
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Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3. 50 per pound and she has a coupon for $2. 50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Ai Mi have to pay $10.50 to buy 3 pounds of chicken.
An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Cost = (3.5 * pp) - 2.5
The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50
With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.
The expression for the cost to buy pp pounds of chicken:
Cost = (3.5 * pp) - 2.5
Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.
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What is the volume of the rectangular prism?
Answer: 72cm³
Step-by-step explanation:
lengh x width x base with means 6 x 4 x 3
Pls help!!! Pls help!!! Pls help!!!
Answer:
As [tex]x \to 2^-[/tex], [tex]f'(x)=1[/tex].
Step-by-step explanation:
See the attached image for the graph of f .
As [tex]x\to 2^-[/tex], the important part of the definition of f is the first part, valid for [0, 2). On the interval [1, 2), [x] = 1, so [tex]f(x)=x\cdot 1=x[/tex], and the slope is 1.
Interestingly, on the interval [2, 3), [tex]f(x)=x(x-1)=x^2-x[/tex], making [tex]f'(x)=2x[/tex]. As [tex]x \to 2^+[/tex], the value of f ' approaches 4. That accounts for the sudden change in direction at the point (2, 2) where the two pieces of the graph connect.
So although the pieces meet at (2, 2) -- f is continuous -- f does not have a (two-sided) derivative at that point because the left-hand derivative and right-hand derivative have different values. There's a "bend" in the graph.
What is a shape with 1 trillion sides called?
A shape with 1 trillion sides is called a teragon. A teragon is a polygon that has an infinite number of sides, the most famous example of teragon is the Koch snowflake.
Typically, a teragon will be bounded by one or more self-similar fractal curves, which are formed by replacing each line segment in an initial figure with multiple interconnected parts, then substituting each of those parts with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure.
Another example of a teragon is the horned triangle which is formed by pitching a series of smaller triangles on one corner of an equilateral triangle. It is also an example of a reptile, or shape that can be completely examined into smaller copies of itself.
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A __________________________of a set is those element within the universal set but not included in that set.
Answer:
complement
Step-by-step explanation:
The complement of a set is the set in the universal set that is not included in that set
The universal set contains all elements
For example
U = { 1, 2, 3, 4, 5, 6, }
A = {1, 3, 6}
(complement of A) A' = {2, 4, 5}
An employee records the number of minutes it takes each team to complete the escape room
this week. The dot plot shows the data.
How many teams completed the escape room
this week?
teams
●
Escape Room
40 41 42 43 44
45 46
45 46 47
Time to Complete (min)
47 48 49 50
To begin, our game organizer will introduce participants to the escape game instructions and backstory. Teams will have 60 minutes to complete their chosen quest
What is escape room?An escape room, also known as an escape game, puzzle room, exit game, or riddle room is a game in which a team of players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal in a limited amount of time. The goal is often to escape from the site of the game.
Once you’re ready to start the game, your team will watch a mission video. This video explains the world your team is now a part of, what you’re trying to accomplish, and why you only have 60 minutes to do so!Some missions are about escaping the room, like in a prison break room. Other missions might not be centered around escaping, but instead, you might be completing a heist or launching a martian spaceship.Here’s an example of the type of mission video that plays at the beginning of a game. This one is from The Escape Game’s The Heist!
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Answer:21 teams
Step-by-step explanation:because if you cont the black dots and read the question that would be the answer
Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?
Answer:
Step-by-step explanation:
Divide 712 hours by 24 hours/day, obtaining 29 2/3 days, which in turn breaks down into 28 days plus 1 2/3 days, or 4 weeks plus 1 2/3 days. '4 weeks' takes us to a Monday, 22:48, 4 weeks after the start of the journey.
To this we add 1 2/3 days, reaching 16 hours into the Tuesday immediately following that Monday. That would be approximately 16:00 on that Tuesday, but we must work backwards 1:12 hours: subtracting 1:12 from 16:00 on Tuesday yields 14:48
The journey finishes at 14:48 4 weeks and 1 day after it began.
8. On a map of scale 1:20 000 the area of a forest is 50 cm². On another map the area of the forest is 8 cm². Find the scale of the second map.
Answer: The scale of a map is a ratio that represents the relationship between distances on the map and distances in the real world. For example, a scale of 1:20 000 means that 1 unit on the map represents 20 000 units in the real world.
In this case, we are given that the area of the forest on the first map is 50 cm² and the area of the forest on the second map is 8 cm². We can use the scale of the first map to find the scale of the second map.
Since the area of the forest on the first map is 50 cm² and the scale is 1:20 000, the area of the forest in the real world is 50 cm² * 20 000 = 1 000 000 cm².
Similarly, since the area of the forest on the second map is 8 cm², the area of the forest in the real world is 8 cm² * x, where x is the scale of the second map.
Setting these two expressions equal to each other, we get:
1 000 000 cm² = 8 cm² * x
Dividing both sides of the equation by 8 cm², we get:
x = 125 000
Therefore, the scale of the second map is 1:125 000.
Step-by-step explanation:
Which equation represents the partial sum of the geometric series?
4
Σ (125)(1/5)^n-1
n=1
Answer:
Option 1
Step-by-step explanation:
Given expression representing the partial sum of the geometric series,
[tex]\sum_{n=1}^{n=4}(125)(\frac{1}{5})^{n-1}[/tex]
Expression that represents the sum of a geometric series is,
[tex]\sum_{n=1}^{n}(a)(r)^{n-1}[/tex]
Here, n = number of terms
a = first term
r = common ratio
By comparing both the expressions,
n = 4
a = 125
r = [tex]\frac{1}{5}[/tex]
From the given options,
Option 1
First term 'a' = 125
Common ratio 'r' = [tex]\frac{25}{125}[/tex] = [tex]\frac{1}{5}[/tex]
Number of terms 'n' = 4
Therefore, Option 1 will be the correct option.
19. Simplify the following 4a³ × 16aºb¹ ÷ 1ac² PLEASE HELP MEEEE!!!
Answer:
64(ab÷c²)
step by step:
(when you multiply two similar bases you can add their exponents but when dividing similar bases you subtract their exponents)
for example
a³x a= a⁴
a²÷ a= a²-¹= a
so
4a³x 16a⁰b¹÷ 1ac²=
64a³b÷ac²
64a²b/c²
Please help me on this very much appreciated
What is the simplest form of 2√3 / √6
√2
√√3
3√2
2√3
O
The simplest form [tex]\frac{2\sqrt{3} }{\sqrt{6} }[/tex] is [tex]\sqrt{2}[/tex]
Step-by-step solution:
[tex]=\frac{2\sqrt{3} }{\sqrt{6} }[/tex]
[tex]=\frac{2\sqrt{3} }{\sqrt{2*3} }[/tex] (write factors of [tex]\sqrt{6}[/tex] i.e. [tex]\sqrt{2*3}[/tex])
[tex]=\frac{2\sqrt{3} }{\sqrt{2}\sqrt{3} }[/tex]
[tex]=\frac{2\ }{\sqrt{2}\ }[/tex]
[tex]=\frac{2\ }{\sqrt{2}\ } * \frac{\sqrt{2} }{\sqrt{2} }[/tex] (Rationalize it by [tex]\sqrt{2}[/tex])
[tex]=\frac{2\sqrt{2} }{2}[/tex]
[tex]=\sqrt{2}[/tex]
Therefore, the correct solution to this question is [tex]\sqrt{2}[/tex]
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what is the answer to 5 + (-5)=
Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens
The expanded form in terms of the sums of powers to tens of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]
As per the given data the given decimal number is 237.45.
Here we have to determine the expanded form in terms of the sums of powers to tens.
Expanded Form: In its extended sense, A number is divided up into its place values, then expanded to represent the value of each digit.
Then N can be written in expanded in for terms of 10 is
[tex]$$\Rightarrow N=a \times 10^2+b \times 10^1 + c \times 10^0+d \times 10^{-1}+e \times 10^{-2}$$[/tex]
Let the given number 237.45 is denoted by N.
N = 237.45
First, write the expanded form of a number before the decimal place.
Then using [tex]$\circledast$[/tex], we have
[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times \frac{1}{10}+5 \times \frac{1}{10^2} \\[/tex]
[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2} \\[/tex]
237.45 = [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]
Therefore the expanded form of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex].
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Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens
A. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}$[/tex]
B. [tex]$237 \times 100+45 \times 1 / 1000$[/tex]
C. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0-4 \times 10^1-5 \times 10^2$[/tex]
D. 200+30+7+0.4+0.05
A principal of $$4800wa inveted at 6. 25% interet, compounded annually. Let t be the number of year ince the tart of the invetment. Let y be the value of the invetment, in dollar. Write an exponential function howing the relationhip between y and t
The exponential function showing the relationship between y and t is y = 4800e^(0.0625t).
What is exponential function?An exponential function is a function of the form f(x) = bx, where b is a positive real number and x is a real number. This type of function is commonly used to model the rate of growth or decay of a quantity over time. Exponential functions have the property that their derivatives (slope) are proportional to the value of the function itself. This property makes them useful for modeling phenomena with compound growth or decay, such as populations, interest rates, and radioactive decay.
In this equation, 4800 is the original principal, 0.0625 is the interest rate (6.25%) and t is the number of years since the start of the investment. This equation can be used to calculate the value of the investment after any number of years. For example, if t = 5, then y would equal 6,842.50. This means that after 5 years, the value of the investment would be 6,842.50.
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What is the IQR?
Please help
Answer:
A) 7
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Q1 = 34
Q3 = 41
41- 34 = 7
Please help asap! Appreciate everyone!
Answer:
b and c
Step-by-step explanation:
b is basically saying flip it up and turning the whole thing left which will put it on top of pnms and c is saying rotate it where line sr and sm would be side by side then flip it right
A fair coin is tossed three times. What is the probability of getting exactly two heads in the three tosses?
Answer:
0.38
Step-by-step explanation:
Here are six number cards.
-4 -2 -1 5 6 8
Arrange the cards into three pairs with the same total
Arranging cards with number -4, -2, -1, 5, 6, 8 making pair with the same total. Therefore, the pairs are (8,-4), (6,-2), (5,-1).
What are card pairs?A pair is a hand that has two cards of same rank and three other cards that do not match any of these or each other. When comparing two similar hands, the hand with the higher pair wins – therefore 6-6-4-3-2 defeats 6-6-4-3-2. 5-5-A-K-Q.Some things, such as a pair of pants or a pair of scissors, contain two major sections that are the same size and form.
A 55-card deck with one 1, two 2s, three 3s, and so on up to ten 10s is used in the game. Shuffle the deck at the start of the game, then remove five cards from play without looking. Give each player one face-up card.
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Is 45/20 equal to 225%
Answer:
Yes, it would be 225%.
Step-by-step explanation:
If 20/20= 100% you can evenly take out 200% because there is 45/20.
That leaves you with the 5/20.
5/20= 25%.
If we add those two percentages 200% + 25%= 225%.
I hope that made sense lol, have a great day!
Solve the equation. c4−5=4
Answer:
[tex]4c - 5 = 4 [/tex]
[tex]4c = 9[/tex]
[tex]c = \frac{9}{4} [/tex]
?
Kadeesha left her house at time zero and drove for 3 minutes to the store, at a speed
of 1 blocks per minute. Then she stopped and went into the store for 3 minutes. From
there, she drove in the same direction at a speed of 2 blocks per minute until she got
to the bank, which is 6 blocks away from the store. She stopped at the bank for 5
minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of
showing the number of blocks away from home that Kadeesha is a minutes after she
leaves her house, until she gets back home.
Graph Stories (Level 1)
Jan 08, 3:36:47 PM
Watch help video
Click twice to plot a segment.
Click a segment to delete it.
Therefore ,As a result, the answer to the above equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).
Equation : what is it?An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.
Here,
Given :
At time zero, Kadeesha stepped outside and drove 3 minutes at a speed of 1 block per minute to the store.
after traveling six blocks at her normal speed of three blocks per minute
She spent 5 minutes stopping at the bank as a result. She then sped home at a rate of three blocks per minute.
She therefore begins at (19,8), travels 8 blocks back in 2 minutes, and ends at (21,0).
Therefore ,As a result, the answer to the above equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).
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The sum of the first 6 terms of a geometric series is 9 times the sum of the first 3 terms, find the common series.
The exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number, is generates the geometric series.
How to derive the formula of a geometric series
Geometric series are sets of elements generated by exponential functions of the form:
y = a · bⁿ ⁻ ¹, where a and b are real numbers and n is a natural number.
Where:
a - Value of the first element of the series.b - Increase rate.n - Index of the n-th element.y - Value of the n-th element.According to the statement, we derive the following expression between the two sums:
9 · a · (1 + b + b²) = a · (1 + b + b² + b³ + b⁴ + b⁵)
Now we proceed to simplify and find the value of b:
8 · a · (1 + b + b²) = a · (b³ + b⁴ + b⁵)
8 · (1 + b + b²) = b³ + b⁴ + b⁵
b⁵ + b⁴ + b³ - 8 · b² - 8 · b - 8 = 0
Then, the value of b by numerical methods is equal to 2.
The geometric series is generated by the exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number.
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A falcon was recorded travelling 100 metres in 0. 93 seconds.
What was its average speed
a in m/s to 3 significant figures
The average speed of the falcon to 3 significant figures will be 107.526 m/s
Distance travelled by falcon = 100 meters
Time taken by falcon to travel the distance = 0.93 seconds
As we have the formula for finding the average speed:
Average speed is a pace defined as a quantity divided by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t is used to compute average speed, where S is the average speed, d is total distance, and t is total time.
Average speed can be find by simply dividing the total distance covered by falcon by the total time taken by him to cover the distance.
So, the value of the average speed will be = (100 m/0.93 sec) =107.526 m/s
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which is more 5 feet or 59 in
Answer:
60 inches < 59 inches
Step-by-step explanation:
1 foot = 12 inches
5 feet = 60 inches
60 inches < 59 inches