The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters so option (C) is correct.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.
There could be only two terms, but there could be one hundred, a thousand, or a million.
Here are always an integer number of terms in a summation.
As per the given,
Length of the trench on the first day = 18/20 meters
Length of the trench on the second day = 9/20
Total length of the trench = 18/20 + 9/20
Take LCM as 20
⇒ (18 + 9)/20 = 27/20
⇒ 1.35 which is closest among the given option by 1 1/2 meters.
Hence "The summation is the adding two quantities thus the reasonable estimate of the total length of the trench is 1 1/2 meters".
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Wich is closest to the volume of the cone in cubic feet?
Therefore let us input the values to find the volume of the cone
[tex]\begin{gathered} \text{volume}=\frac{1}{3}\pi r^2h \\ r=\frac{8}{2}=4\text{ ft} \\ h=9ft \\ \text{volume}=\frac{1}{3}\pi r^2h \\ \text{volume}=\frac{1}{3}\times3.14\times4^2\times^{}9 \\ \text{volume}=\frac{1}{3}\times3.14\times16\times9 \\ \text{volume}=\frac{452.16}{3} \\ \text{volume}=\text{ }150.72ft^2 \end{gathered}[/tex]The answer should be A.
Graphs present information to the reader
True
False
Answer:True
Step-by-step explanation:Graphs show information about information about the topic you are reading\researching so true they show you a lot of info on the topic.
Answer:True
Step-by-step explanation:Graphs show information about information about the topic you are reading\researching so true they show you a lot of info on the topic.
A parallelogram with coordinates A (-2,3) , B (3,3) , (4,6) , and D (-1 , 6) is first rotated 90 degrees clockwise and the. Translated 4 units left and 2 units down to form quadrilateral A’B’C’D’. What is the distance , in units, between point C’ and point D’ in the resulting figure.
The distance between the translated points C and D is 5 units
How to determine the distance between the translated points?From the question, the coordinates are given as
A (-2,3) , B (3,3) , C (4,6) , and D (-1 , 6)
The sequence of transformations is given as
First rotated 90 degrees clockwiseTranslated 4 units left and 2 units downThe above sequence of transformations are rigid transformations.
This means that the lengths are preserved
In other words,
CD = C'D'
So, we have the distance to be
Distance = √[(x₁ - x₂)² + (y₁ - y₂)²]
Where
(x, y) = C (4,6) , and D (-1 , 6)
So, we have
Distance = √[(4 + 1)² + (6 - 6)²]
Evaluate
Distance = 5
Hence, the distance is 5 units
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I REALLY NEED HELP WITH FACTORISING AFTER THIS CAN WE PLEASE DO SOME QUESTIONS BASED ON IT
Step 1:
Write the expression
[tex]14x^2\text{ }-\text{ x - 3}[/tex]Step 2:
To factorize the expression, multiply the leading coefficient with the constant term.
[tex]\begin{gathered} \text{Leading coefficent = 14} \\ \text{constant term = -3} \\ =\text{ 14 }\times\text{ -3 = -42} \end{gathered}[/tex]Step 4
Choose two numbers whose product is -42 and the sum is -1 (that is the coefficient of x)
[tex]\begin{gathered} \text{The two numbers are: 6 and -7} \\ \text{Then, split -x into -7x and 6x} \\ \text{Therefore} \\ 14x^2-x-3=14x^2\text{ - 7x + 6x }-3 \\ 14x^2\text{ - 7x + 6x - 3} \\ \text{Pair two terms and factor out the co}mmon\text{ factors} \\ 7x(2x\text{ - 1) + 3(2x - 1)} \\ (2x\text{ - 1)(7x + 3)} \end{gathered}[/tex]Final answer
(2x - 1)(7x + 3)
provide an appropriate response. the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
By the distribution,6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
Given that,
Finding a parking spot in the library parking lot takes college students an average of 7.0 minutes, with a standard deviation of 1 minute, according to a normal distribution.
Find the window of opportunity that 75.8% of college students miss when looking for a place in the library parking lot.
The following formula calculates the z-score of a measure X of a normally distributed variable with mean μ and standard deviationσ:
Z=(X-μ)/σ
The z-score calculates how far the measure deviates from the mean by standard deviation.
The p-value for this z-score, which is the percentile of X, can be obtained by looking at the z-score table.
The cut-off time is the 100th percentile minus 75.8th percentile, or X, for Z = -0.7, so:
Z=(X-μ)/σ
-0.7=(X-7)/1
-0.7=X-7
X=-0.7+7
X=6.3
Therefore, 6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
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For a diving event, the highest and the lowest of seven scores are discarded. Next, the total of the remaining scores is multiplied by the degree of difficulty of the dive. That value is then multiplied by 0.6 to determine the final score. Find the final score for the dive.
A drawing of a score board of the event, 3-meter springboard. It shows the scores of the 7 judges as Judge 1, 80; judge 2, 75; judge 3, 90; judge 4, 70; judge 5, 80; judge 6, 85; judge 7, 75. The difficulty level is marked as 3.1.
Answer: 734.7
Step-by-step explanation:
We get rid of 90 and 70 since they are the highest and lowest scores.
80+75+80+85+75 = 395
395 * 3.1 = 1224.5
1224.5*0.6 = 734.7
[tex]x + 49 \ \textgreater \ 28[/tex]I need it now please
To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.
So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:
[tex]\begin{gathered} x+49-49>28-49 \\ x>-21 \end{gathered}[/tex]The result of the inequality is x > -21
Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $401.83. He buys 4 bicycle reflectors for $12.85 each and a pair of bike gloves for $23.83. He plans to spend some or all of the money he has left to buy new biking outfits for $40.49 each. Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget.
The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Total amount to spend = $720
Cost of bicycle = $401.83
Cost of bicycle reflector = $12.85 ( 4 reflector bought )
Cost of bike cloves = $23.83
Cost of biking outfits = $40.49
The number of possible biking outfits:
401.83 + 4 x 12.85 + 23.83 + M40.49 ≤ 720
401.83 + 51.4 + 23.83 + M40.49 ≤ 720
477.06 + M40.49 ≤ 720
M40.49 ≤ 720 - 477.06
M40.49 ≤ 242.94
M ≤ 242.94 / 40.49
M ≤ 6
M = Number of possible outfits
Thus,
The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.
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Noah was asked to compute the product of two numbers. He misread the problem and entered the sum of the two numbers instead. Luckily he still got the right answer. One of the two numbers is $5$. What is the other number?
Answer:
1.25
Step-by-step explanation:
5 X 1.25 is 6.25 and 5 + 1.25 is 6.25
A single piecewise-defined function f(x) has been
graphed for you on the display to the left.
At how many values c on the interval x€[−6, 4) is it
true that the limx→cf(x) = 1?
Answer: 1
Step-by-step explanation:
[tex]\lim_{x \to -6} f(x) \neq -1[/tex] because the left and right hand limits are not the same.
[tex]\lim_{x \to -1} f(x) \neq -1[/tex] because the left and right hand limits are not the same.
However, somewhere between 1 and 2, the limit does equal -1 because the left and right hand limits are the same.
The population of the United States increased from 249 million in 1990 to 308 million in
2010.
The absolute change in the population was
The relative change in the population was
of a percent)
million.
% (round to the nearest tenth
The absolute change in the population was 59 million. The relative change in the population was 23.69%
The absolute population change is the magnitude of the increase or decrease in population for a defined period.
What is absolute change ?Absolute change describes the straightforward difference between the indicator over two time periods. The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage.
Small numbers can make relative changes appear more significant than they actually are. This is true because a minor change in the number's absolute value can generate a significant change in the percentage.
Big numbers may make relative changes appear less significant. This is so that any change in the number that represents a substantial relative change may be seen.
The relative change can be minor even when the absolute change is significant if it is a change on a larger number.
Absolute change = Final value – Initial value
= 308m- 249m = 59m
The absolute change in the population was 59 million
Relative change Formula = (Final value – Initial value) / Initial value * 100%
= 308m- 249m/ 249*100 = 23.69%
The relative change in the population was 23.69%
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7. It costs $6 to get into the Carnival. Hotdogs cost $1.50 each, Hamburgers cost $1.75 each, French Fries cost $1.05 per
serving, Popcorn cost $1.15 per bag, and Soda is $.75 each. Each ride costs $2.00. How much money would you need to
get into the Carnival and to go on 8 rides, eat 2 hotdogs, 1 order of Fries, 2 bags of Popcorn, and 1 Soda?
Answer: $29.10
Step-by-step explanation:
1. Make a table, like the one shown in the image. You will need the item, its price, and how many are being bought.
2. Multiply the price and quantity of each item that is being bought.
3. Add all of the products together. This should get you the final price.
My steps are in the image. Hope this helps!
Find the requested angle supplement of 123^%A/246B/33C/57D/237
Given: The angle
[tex]123^0[/tex]To Determine: The supplement of the given angle
Solution
Please note that two angle are supplement if they are add up to 180⁰
So if the supplement is x. Therefore
[tex]\begin{gathered} x+123^0=180^0 \\ x=180^0-123^0 \\ x=57^0 \end{gathered}[/tex]Hence, the supplement of 123⁰ is 57⁰, OPTION C
one student from the school will be selected at random. what is the probability that the student is in the age-group of 6 to 8 years given that the selected student responded joy?
Given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the likelihood that a pupil is between the ages of 6 and 8 can be calculated using the techniques below:
Step 1: 89 pupils out of a possible 200 answered with joy, as shown in the table.Step 2 - It is also stated that there were a total of 28 students in the age range of 6 to 8 years who answered positively.Step 3 - Accordingly, the likelihood that the pupil belongs to the 6 to 8-year-old age range is:P = 28/89
Therefore, given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
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The complete question is given below:
Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age group. One student from the school will be selected at random. What is the probability that the student is in the age group of 6 to 8 years given that the selected student responded with joy?
What are the coordinates of the midpoint of segment whose endpoints are A(-2,7) and B(4,-2)?
Complete the ratio table.
13 11
22
52 44
55
91 77
The complete table using ratios is:
13, 39, 52, 72, and 91. What is the ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.In mathematics, a ratio shows how frequently one number appears in another.For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.In, the column we can notice the pattern of (×2):
11×2 = 2222×2 = 44Now calculate similarly:
This is a ratio method 13, 39, 52, 72, and 91.Therefore, the complete table using ratios is:
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What is the inequality shown? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 O 5 6 7 8 9 n
Answer:
Inline range: 2 ≤ n < 8
Interval range: [ - 2, 8 )
Loop: n = - 2; n < 8;
Step-by-step explanation:
The filled circle means inclusive while outlined circle means exclusive.
Answer:
-2 ≤ x > 8
Step-by-step explanation:
x = a possible number based on the diagram
the black-filled-in dot on the line above the number line indicated that it can either be '≤' or '≥'
the empty-not-filled-in dot means that it can be either '<' or '>'
the '≤' means x can be equal or greater to -2
and the '>' means that x must be less than 8
hope this helps!
a 2.0 kg box is at rest on a table, The static friction coefficient μs between the box and table is 0.40, and the kinetic friction coefficient μk is 0.2
Then, a 25N horizontal force is applied to the box.
What is the best estimate of the magnitude of the box's acceleration?
The best estimate of the magnitude of the box's acceleration is equal to: B. 11 m/s².
How to determine the box's acceleration?In order to determine the magnitude of the acceleration of this box, we would first of all calculate the magnitude of the kinetic frictional force.
Mathematically, the kinetic frictional force that is acting on a physical body can be calculated by using this equation:
F = μkN = μk(mg)
Where:
μk is the coefficient of kinetic frictional force.N is the normal force.m is the mass.g is the acceleration due to gravity.Substituting the given parameters into the formula, we have;
F = 0.20 × 2.0 × 9.81
F = 3.924 Newton.
By applying Newton's second law of motion, the net force is given by:
∑Fx = Applied force - kinetic frictional force = ma
Acceleration, a = [Applied force - kinetic frictional force]/m
Acceleration, a = [25 - 3.924]/2
Acceleration, a = 21.076/2
Acceleration, a = 10.538 ≈ 11 m/s²
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The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 800 cubic centimeters when the pressure is 450 millimeters of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
SOLUTION:
Step 1:
In this question, we are given the following:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 800 cubic centimeters when the pressure is 450 millimeters of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
Step 2:
This is an application of Boyle's law which states that:
Boyle’s law is a gas law that states that the pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it. In other words, the pressure and volume of a gas are inversely proportional to each other as long as the temperature and the quantity of gas are kept constant.
[tex]\begin{gathered} Mathematically,\text{ we have that:} \\ V\text{ }\propto\text{ }\frac{1}{P} \\ Then,\text{ we have that:} \\ V\text{ =}\frac{k}{P}\text{ \lparen where k is a constant \rparen} \end{gathered}[/tex][tex]when\text{ V = 800 cubic centimetres , then P = 450 mm Hg}[/tex][tex]\begin{gathered} 800\text{ =}\frac{k}{450} \\ cross-multiply,\text{ we have that:} \\ \text{k = 800 x 450 = 360,000} \end{gathered}[/tex][tex]\begin{gathered} Then,\text{ the equation connecting V and P =} \\ \text{ V }=\frac{360,000}{P} \end{gathered}[/tex]Next:
[tex]when\text{ P = 200 mm Hg, we have that:}[/tex][tex]\begin{gathered} V\text{ = }\frac{360,000}{200} \\ \text{V = 1800 cubic centimetres } \end{gathered}[/tex]CONCLUSION:
The volume when the pressure is 200 mm Hg is:
[tex]V\text{ = 1800 cubic centimetres}[/tex]I used 999 sheets of toilet paper each day for 777 days. The roll had 969696 sheets when it was new. How many sheets of toilet paper have not been used? please get the answer right
The number of sheets of toilet paper that have not been used is 193473.
What is multiplication?Multiplication simply has to do with the product of numbers.
From the information, the roll had 969696 sheets when it was new and the person used 999 sheets of toilet paper each day for 777 days.
Therefore, the sheet left will be:
= Number in the new roll - Sheets used
= 969696 - (777 × 999)
= 969696 - 776223
= 193473
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f(x)=4x+2; Find f(8)
We have:
[tex]f(x)=4x+2[/tex]And want to find f(8), for this we simply replace x with 8 and operate:
[tex]f(8)=4(8)+2\Rightarrow f(8)=34[/tex]A restaurant uses four pounds of potatoes for a party of 12 people They are cooking potatoes for a party of 60 people what should I do
determine the equation of line from the graph
Answer:
y = 2x
Step-by-step explanation:
The slope is 2. Find a point on the line, to go back to the line, go up two and one to the right. You will be back on the line. This pattern repeats over and over and again.
15 points to help me out.
Answer:
can't answer the first two questions as figure is not mentioned in picture
3. -3
4. 6
5. 3/4
6. -3
7. 5
8. 3
Step-by-step explanation:
-23x^7 + x^9 -6x^3 + 10 + 2x^2
The polynomial is x⁹ - 23x⁷ - 6x³ + 2x² + 10 in the standard form, the degree of the polynomial is nine, and its leading coefficient is 1.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial below which is given in the question
-23x⁷ + x⁹ -6x³ + 10 + 2x²
To determine the polynomial in the standard form.
⇒ -23x⁷ + x⁹ -6x³ + 10 + 2x²
Rearrange the terms in the descending order of the degree of variables
⇒ x⁹ - 23x⁷ - 6x³ + 2x² + 10
This is the polynomial in the standard form
Here the degree of the polynomial is nine because nine is the highest degree in the above expression and its leading coefficient is 1.
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The question seems to be incomplete the correct question would be:
Write the polynomial in the standard form, and then identify the degree and leading coefficient
-23x⁷ + x⁹ -6x³ + 10 + 2x²
Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
BRO HELP ITS DUE TMRW WILL GIVE BRAINLIEST AND POINTS
Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH
How to determine the correct rephrase of the proof about parallelogram diagonalsThe diagonals refer to the lines running between the two opposite ends of the parallelogram
Bisecting means sharing into two equal parts
congruent means a copy that is equal in dimension hence can be used in place of the other image
The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.
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-11x-y+3z=-21
(5x-y-5z=-5)
(3x+y+z=13)
Answer: [tex]y=15-5x, z=2x-2[/tex]
Step-by-step explanation:
Subtracting the first equation from the second equation yields [tex]16x-8z=16 \implies 2x-z=2 \implies z=2x-2[/tex].
Substituting this into the first equation,
[tex]-11x-y+3(2x-2)=-21\\\\-11x-y+6x-6=-21\\\\-5x-y-6=-21\\\\-5x-y=-15\\\\5x+y=15\\ \\ y=15-5x[/tex]
I need some explanation on how to do piece wise functions? Where do I even start with this equation, can you explain this step by step? Including breaking down the graphing of absolute functions?
A piecewise function is basically a function that behaves differently at different domain intervals.
The given piecewise function is
[tex]\begin{cases}2x\quad \quad \quad \quad \quad \quad x\le3 \\ \frac{1}{3}x^2-2x+9\quad x>3\end{cases}[/tex]As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.
The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.
Evaluate the piecewise function for the interval x is less than or equal to 3.
[tex]\begin{gathered} 2x \\ x=1\rightarrow2(1)=2 \\ x=2\rightarrow2(2)=4 \\ x=3\rightarrow2(3)=6 \end{gathered}[/tex]Evaluate the piecewise function for the interval x is greater than 3.
[tex]\begin{gathered} \frac{1}{3}x^2-2x+9 \\ x=4\rightarrow\frac{1}{3}(4)^2-2(4)+9=6.33 \\ x=6\rightarrow\frac{1}{3}(6)^2-2(6)+9=9 \\ x=8\rightarrow\frac{1}{3}(8)^2-2(8)+9=14.33 \end{gathered}[/tex]Now, let us graph these points
As you can see from the graph, it matches with the graph of the 2nd option.
Therefore, the correct graph of the given piecewise function is the 2nd graph.
PLS HELP ON THIS 50-(-20)
Find the slope answer fast
Answer:
y=65/100x+2.5
Step-by-step explanation:
