Answer:
Explanation:
For a function, an input value, x cannot have more than one output value, y.
Looking at the table, no value of x has the same value of y twice. Thus,
the table defines a function
The domain is the set of all values of x that satisfies the function. Thus,
Domain = [- 1, 3]
The range is the set of all values of y that satisfies the function. Thus,
Range = [- 8, 9]
what is the area of the convince store
Answer:
please add screenshots of the question and/or illustrations
QUESTION 3
Elvis Louw has organized a hall for Mother's day celebration. He invited 150 guests and 2 motivational
3.2
Table
1,8 m
Walking space
Chair 45 cm
Chair 45 cm
NOTE:
Dimensions of the hall: 23 m x 18 m.
The venue includes round tables with a diameter of 1,8 m that can each seat 10 persons.
Use the information above to answer the questions that follow.
3.1
Define the term "Diameter" according to the given context.
Elvis Louw calculated that they need 9 m² per round table. He claims that 30 of the
(2)
(5)
round tables will fit into the space.
Verify Elvis Louw's claim that 30 tables will fit into the space.
You may use the following formula: Area of a rectangle length x breadth
3.3 Calculate the amount of walking space between two tables at the point where they are (5)
the closest, if the space allowed per chair is 45 cm.
(12)
The amount of walking space between two tables at the point where they are the closest is 0.9 m.
We are given that;
The space allowed per chair = 45 cm.
Number of tables=30
Now,
we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair
Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7
Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter
Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9
To express our answer in meters. walking space=0.9 m
Therefore, by the algebra the answer will be 0.9 m.
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PART A
#t represents the height, in tears, of the finishes totem pole, then in=33
an equivalent eguation that can be seed to save for he select all that apply.
represents this situation. Which equations show the use of a reciprocal to write
33 / 4
Answer: He says that the totem pole is 3/4 complete. If h represents the height, in feet, of the finished totem pole, then. Show transcribed image text.
Step-by-step explanation:
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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Here is a random sample of body temperature of 25 young adults
The completed cumulative frequency table is attached accordingly. See explanations below.
What is a cumulative frequency table?A cumulative frequency table is a graph that depicts the popularity or mode of a certain piece of data as well as the possibility that a specific event will fall below the frequency distribution.
Steps to resolving the problem:1. Sort the data in ascending order.
2. Examine the first interval and count how many points in the dataset fall within it. Take note of the number under frequency.
3. Relative frequency = frequency inside a class / total number of data points
4. Cumulative frequency = Add each frequency in the order described below.
See the attached images for the completed tables.
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Full Question:
Here is a random sample of body temperature of 25 young adults:
96, 96.6, 96.7, 96.9, 97, 97.1, 97.1, 97.2, 97.3, 97.4, 97.4 97.7 97.7 97.7 97.8, 97.9, 98 98, 98.2, 98.2, 98.3, 98.3, 98.7, 98.8, 98.9.
Complete the attached relative frequency distribution table.
Please help as soon as possible my grades are being put in tomorrow!
Answer:
8a+10=b
Step-by-step explanation:
In maths, you normally do division before multiplication, and you have to turn the words into numbers, so it would look like this=
10+8*a=b
10+8a=b.
This is writing a function rule. It says this at the top.
Answer:
8a+10=b
Step-by-step explanation:
If 15% of the customers total is $98,880, then the sum total equals what
The sum total by the given data is equals to $658,880.
We are given that;
Percent=15%
Amount= $98,880
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:
15% = 0.15
To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:
$98,880 / 0.15 = $98,880 x 1/0.15
To multiply by 100, we can move the decimal point two places to the right. This gives us:
$98,880 x 1/0.15 x 100 = $658,880
Therefore, by the percentage the answer will be $658,880.
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Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.2 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas?
Answer:
She spend $21,70 on gas
Step-by-step explanation:
6.350=2100
$21,00 for 6 gallons
350:10=35
0,35
035.2=070
0,70
2100+70=2170
Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
Choose each correct coordinate for the vertices of ΔA'B'C'.
Answer:
Step-by-step explanation:
ΔABC transformed by 5/2 to A'B'C':
A' = -10, 15
B' = -15, 10
C' = 5, -5
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
A class of students recorded the amount of time spent on homework on Monday night.
The times are recorded below, in hours. Use the data to answer question 8
DATA:
1/3
4
2/1
2
2 2/3
4
1 1/3
4
1/1
4
3
3/1
4
3/3
4
2/2
8. Make a line plot small to big of the data shown above. Be sure to include a title and correctly
label each value
Answer:
here is a line plot of the data provided:
|
4.0 | X
|
3.5 |
|
3.0 | X
|
2.5 |
|
2.0 | X X X X
|_________________________
1/3 1 1/3 2 1/3 3
Title: Homework Time on Monday Night
The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.
The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of
Find the sum of the first six terms of the sequence shown.
Step 1: We find the first six terms of the sequence. In this case, we can obtain the next term by multiplying the previous term by 3.
\(\begin{gathered} a_1=5 \\ a_2=15 \\ a_3=45 \\ a_4=45\cdot3=135 \\ a_5=135\cdot3=405 \\ a_6=405\cdot3=1215 \end{gathered}\)Step 2: We add the first six terms.
\(5+15+45+135+405+1,215=1,820\)AnswerThe sum of the first six terms of the sequence shown is 1,820.
hi! i’m struggling with this and don’t know where to start! need work shown and a step by step explanation for 1 and 2 would be helpful!! thanks x
The probabilities are given as follows:
1) Blue eyes: 0.132.
2) Female with green eyes: 0.09.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The total number of people is given as follows:
20 + 25 + 30 + 15 + 10 + 12 + 15 + 20 + 10 + 10 = 167.
10 + 12 = 22 people out of 167 have blue eyes, hence the probability is given as follows:
p = 22/167 = 0.132.
15 people out of 167 are female with green eyes, hence the probability is given as follows:
p = 15/167 = 0.09.
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Maria has a bag with 6 red marbles , 6 blue marbles , and 4 green marbles . Without looking Maria pick one marble. She does not replace it , and she picks another one. On the first pick , Maria gets a green marble. What is the probability that she gets a red marble on her second pick ?
select an expression that is equivalent to 2^4/8
Answer:
The answer is C
Step-by-step explanation:
c. 8√(2^4 )
given 2^(4/8) can be written as 2^(4×1/8)
eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4
further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2
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please help it’s urgent don’t give me the wrong answer :(
Answer:
i dont know
Step-by-step explanation:
this is a new answer bc someone deleted my very helpful one
Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 9 cm and the height is 26.5 cm. Find the volume of the candle.
Round your answer to the nearest whole number. Do not type the units in the space below.
(Be sure to use the pi button on your calculator to do the calculation.)
Step-by-step explanation:
the volume of such a regular cylinder is (as for any regular object) :
base area × height
and for a cylinder the base area is a circle, and its area is
pi×r²
so, combined, the volume of our cylinder is
pi×r²×height = pi×9²×26.5 = pi×81×26.5 =
= 6,743.428631... cm³
≈ 6,743 cm³
#5 GName the property that the statement illustrates.If ZABC ZXYZ and ZXYZZPQR, then ZABC ZPQR.The statement illustrates thePrevious12دیا3Eric MedinaReflexive Property of Angle CongruenceSymmetric Property of Angle CongruenceTransitive Property of Angle CongruenceReflexive Property of EqualitySymmetric Property of EqualityTransitive Property of Equality
GIVEN:
We are given the following details for congruent angles;
\(\begin{gathered} \angle ABC\cong\angle XYZ \\ \\ And \\ \\ \angle XYZ\cong\angle PQR \\ \\ Then;\text{ }\angle ABC\cong\angle PQR \end{gathered}\)Required;
To identify the statement that correctly represents the property of congruence.
Step-by-step solution;
For the given angles, we know that the first pair of angles (angles ABC and XYZ) are both congruent to the third angle (angle PQR).
Applying the transitive property of angle congruence, we know that;
"If one pair of angles are congruent to a third angle, then the first angle is congruent to the third angle."
Therefore,
ANSWER:
The statement illustrates the transitive property of angle congruence.
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the slope of the line that contains the points (2, −7) and (−1, 5)?
−4
negative one fourth
one fourth
4
the slope is -4
hope this helps!!
Answer:
the slope is -4
Step-by-step explanation:
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
Find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0. Also, show in the graph.
The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
Finding the inversion pointTo find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:
Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.
Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.
Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.
Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.
Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).
Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
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a group of students arrange a picnic each student contributed rupees 61 1 upon 2 the total contribution was rupees 676 1 upon 2 how many students are there in the group
Answer:
Now, each student contributes= Rs 61 1/2= Rs 123/2 ( mixed fraction ).
Therefore, total no. of students=Rs (1953/2÷123/2) = 15.87
Rounding off 15.87 to 16.
There were 16 students
(i hope it is correct answer. pls mark as brainliest)
Answer:
11 studentsStep-by-step explanation:
Contribution of each student = Rs. 61 1/2Total contribution = Rs. 676 1/2Number of students =?------------
Number of students:
676 1/2 : 61 1/2 = (676*2 + 1)/2 : (61*2 + 1) /2 = 1353 : 123 = 11Answer is 11 students
Find the height in centimeters of a square pyramid with a volume of 455cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
\(h = 7.69cm\)
Step-by-step explanation:
Given
\(Volume = 455cm^3\)
\(l = h\)
Where:
\(h \to height\)
\(l \to base\ length\)
Required
The height
The volume is calculated as:
\(Volume = l^2 * h\)
This gives:
\(Volume = h^2 * h\)
\(Volume = h^3\)
Rewrite as:
\(h^3 =Volume\)
So, we have:
\(h^3 = 455cm^3\)
Take cube roots
\(h = \sqrt[3]{455cm^3}\)
\(h = 7.69cm\) --- approximated
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Answer:
the answers C 36
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Just took the quiz
Match the terms associated with a study.
1. A summary about the group of units data is recorded on
2. A summary measure about the overall group of interest
3. The group of units data is recorded on
4. The overall group of interest
a. Population
b. Prediction
c. Inference
d. Sample
e. Parameter
f. Statistic
Using the concept of statistic, the appropriate terms associated with the study are :
1 - statistic2 - Parameter3 - Sample 4 - PopulationThe population refers to the overall group which is of interest or relevance to a particular study.
The group of unit data which is usually a subset of the population is called the sample.
A summary or measure made from the population or overall group is called the Parameter.
A summary or measure made from the group of unit data or sample is called the statistic.
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how many inches would represent 315 miles
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
Noah went into a movie theater and bought 9 drinks and 4 candies, costing a total of $60. Nachelle went into the same movie theater and bought 10 drinks and 2 candies, costing a total of $57.50. Determine the price of each drink and the price of each candy.
Answer:
Drink: $5
Candy : $3.75
Step-by-step explanation:
Let d = the cost of a drink
Let c = the cost of a candy
9d + 4c = 60
10d + 2c = 57.50 ⇒ Mult. by -2 ⇒ -20d -4c = -115 Add this to the first equation
-20d - 4c = -115
9d + 4c = 60
-11d = -55 Divide both sides by -11
d = 5
A drink costs $5.00.
Plug in 5 for d in either of the two equations to solve for c
9d + 4c = 60
9(5) + 4x = 60
45 + 4c = 60 Subtract 45 from both sides
4c = 15 Divide both sides by 4
x = 3.75
A candy costs $3.75
9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one