1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The pie chart is,
Comedy 27%
Action 18%
Romance 14%
Drama 14%
Horror 11%
Foreign 8%
Science 8%
Now,
1. The number of students like Comedy in a class of 300 are;
= 27% of 300
= 27/100 x 300
= 81
Thus, The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are;
= 18% of 400
= 18/100 x 400
= 72
Thus, The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are;
= 14% of 350
= 14/100 x 350
= 49
4. The number of students like Foreign in a class of 225 are;
= 8% of 225
= 8/100 x 225
= 18
5. The number of students like Horror in a class of 200 are;
= 11% of 200
= 11/100 x 200
= 22
6. The number of students like Science friction in a class of 175 are;
= 8% of 175
= 8/100 x 175
= 14
Thus, 1. The number of students like Comedy in a class of 300 are 81.
2. The number of students like Action in a class of 400 are 72.
3. The number of students like Romance in a class of 350 are 49.
4. The number of students like Foreign in a class of 225 are 18.
5. The number of students like Horror in a class of 200 are 22.
6. The number of students like Science friction in a class of 175 are 14.
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PLEASE NEED HELP FOR THIS ONE THANKS
The average rate of change of f(x) on the interval 30 ≤ x ≤ 60 is r = 1/5.
How to get the average rate of change?For a function f(x), we define the average rate of change over an interval:
a ≤x ≤b is given by:
( f(b) - f(a))/(b - a)
In this case we have the function defined by the table and the interval:
30 ≤ x ≤ 60
On the table we can see:
f(60) = 19
f(30) = 13
Then the average rate of change is:
r = (19 - 13)/(60 - 30) = 6/30 = 1/5
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What is the answers please
By performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512What exactly are mathematical operations?In mathematics, an operation is a function that converts zero or more input values into a discrete output value. The number of operands in the operation determines how difficult it is.A rule that determines the correct method to use while evaluating mathematical equations is known as the order of operations. Parentheses, exponents, multiplication, division (left to right), addition, and subtraction can all be remembered in the PEMDAS acronym (from left to right).So, the answers after multiplication are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Therefore, by performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Know more about mathematical operations here:
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A drawer of shirts contains 3 solid red, 2 striped red, 4 solid blue, and 3 striped green. What is the probability of picking a shirt that is red or striped?
The probability of picking a shirt that is red or striped is 2/3.
Given, that a drawer of shirts contains 3 solid red, 2 striped red, 4 solid blue, and 3 striped green.
We have to find the probability of picking a shirt that is red or striped,
P(R ∪ S) = P(R) + P(S) - P(R∩S)
where, R be the event that the shirt is red.
and S be the even that the shirt is striped.
P(R) = 5/12 (as, there are 5 red shirts)
P(S) = 5/12 (as, there are 5 striped shirts)
P(R∩S) = 2/12 (as, there are 5 striped red shirts)
P(R ∪ S) = 5/12 + 5/12 - 2/12
P(R ∪ S) = 8/12
P(R ∪ S) = 2/3
The probability of picking a shirt that is red or striped is 2/3.
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What Did the Baby Porcupine Say
When It Backed Into a Cactus?
each
Answer:
As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give call to its mother.
Step-by-step explanation
He said hi Ma.
Simplify. 5-[-(-2)]
Answer:
3
Step-by-step explanation:
1. Which is an important aspect of a randomized survey's design?
A. The survey should always contain at least 5 questions.
B. Each survey question should have at most 3 choices.
C. The survey participants should be randomly selected.
D. The survey should have questions for multiple populations.
2. Identify the leading question.
A. How much would you be willing to pay for a new living room furniture set?
B. During what time of day are you most likely to watch TV?
C. How interested would you be in purchasing a blue car?
D. How much did you enjoy your great experience at our waterpark?
3. Frederick is creating a plan to conduct a randomized survey. He will be asking guests at a baseball stadium to rate their experience. At which location should he take the survey to ensure randomization?
A. the section of seats directly behind home plate
B. the hot dog stand
C. the stadiums front gate
D. the gift shop
Answer: 1) C- the survey participants should be randomly selected
2) C- how interested would you be in purchasing a blue car?
3) C- the stadiums front gate
Step-by-step explanation: I took the quick check.
Answer:
1. c
2. d
3. c
Step-by-step explanation:
A firecracker is fired straight up into the air out of a window of a building. Its height, in feet, is given by
h - 16t² + 96t + 112, where t is the time, in seconds, the fircracker has been in the air.
At some point in its path it reaches a highest point.
Step-by-step explanation:
I assume our task is to find that point of time, when it reaches the highest point.
and the function is
h(t) = -16t² + 96t + 112
well, a maximum or minimum of a curve (function) is found as a zero solution of the first derivative of the function.
given the nature of the function, the extreme point has to be a maximum (the firecracker goes up and then down again).
h'(t) = -32t + 96
we are looking for the zero :
0 = -32t + 96
32t = 96
t = 3 seconds
so, after 3 seconds, the firecracker reaches its highest point, which is at
-16×3² + 96×3 + 112 = -16×9 + 96×3 + 112 =
= -144 + 288 + 112 = 256 ft
FYI - we know for x = 0 (the starting point) the height of the starting window was 112 ft.
6.) One clothing Store has a dress for $6.20
and a belt for $3.50. Customers
buy 3 dresses for $15.20. How much
would be saved by buying 3 dresses
Than by buying per piece?
Using mathematical operations, the amount that would be saved by buying 3 dresses instead of buying per piece is $3.40.
What are mathematical operations?The mathematical operations include the following basic operations: addition, subtraction, division, and multiplication.
Mathematical operations determine the results of mathematical expressions and problems.
Cost of a dress = $6.20
Cost of 3 dresses = $15.20
Cost per dress if 3 dresses were bought = $5.067
Amount saved for buying 3 dresses instead of one = $3.40 ($6.20 x 3 - $15.20)
Thus, mathematically, the customer would save $3.40 by buying 3 dresses for $15.20 instead of buying at $6.20 per unit.
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Graph the polygon with the given vertices and its image after a reflection in the line y=x.
A(2, -1), B(-1, 2), C(2, 3), D(4,2)
In the given picture the polygon ABCD is the formed polygon (in red color) and the reflection of the polygon is A'B'C'D' (in green color).
Graphing the polygon and reflection in a graph:
A polygon is a 2 - dimensional shape, that is formed by three or more straight edges. To graph, a polygon, plot the given points on the plane and connect the vertices using straight lines, without crossing any lines.
Reflecting image in the line y = xTo reflect the image in the line y = x, switch the values of x to y and y to x. After switching the points, join the formed points and draw the reflected image.
Here we have
A(2, -1), B(-1, 2), C(2, 3), D(4,2)
After switching the values of x to y and y to x the resultant points are
A'(-1, 2), B'(2, -1), C'(3, 2), D'(2,4)
In the given picture the polygon ABCD is the formed polygon (in red color) and the reflection of the polygon is A'B'C'D' (in green color).
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Differentiate the function with respect to x.
Using the Quotient Rule, the differentiate the function with respect to x is [tex]\frac{4x^3}{9x^8+24x^4+16}[/tex] .
In the given question,
We have to differentiate the given function with respect to x.
The given function is [tex]y=\frac{x^4+1}{3x^4+4}[/tex]
We have differentiate with respect to x.
The given function is in fraction format. So solving the given expression we use Quotient Rule
According to Quotient Rule
"A method for recognizing issues where one function is divided by another is the quotient rule."
The formula of Quotient Rule is
[tex]\frac{d}{dx}[\frac{f(x)}{g(x)}]=\frac{g(x)f'(x)-g'(x)f(x)}{(g(x))^2}[/tex]....................(1)
As we see in our function then f(x) = x[tex]^4+[/tex]1 and g(x) = 3x[tex]^4+[/tex]4
Before solving the function we find the value of f'(x), g'(x) and (g(x))[tex]^2.[/tex]
Now solving the f(x) for f'(x) with respect to x.
f(x) = x[tex]^4+[/tex]1
[tex]\frac{d}{dx}f(x)=\frac{d}{dx}(x^4+1)[/tex]
[tex]f'(x)=\frac{d}{dx}x^4+\frac{d}{dx}1[/tex]
We know that the differentiation of [tex]x^n=nx^{n-1}[/tex] and differentiation of constant value is zero.
So [tex]f'(x)=4x^{(4-1)}+0[/tex]
[tex]f'(x)=4x^3[/tex]
Now solving the g(x) for g'(x) with respect to x.
g(x) = 3x[tex]^4+[/tex]4
[tex]\frac{d}{dx}g(x)=\frac{d}{dx}(3x^4+4)[/tex]
[tex]g'(x)=3\frac{d}{dx}x^4+\frac{d}{dx}4[/tex]
We know that the differentiation of [tex]x^n=nx^{n-1}[/tex] and differentiation of constant value is zero.
[tex]g'(x)=3(4x^{(4-1)})+0[/tex]
[tex]g'(x)=3(4x^{3})[/tex]
[tex]g'(x)=12x^{3}[/tex]
Now finding the value of (g(x))[tex]^2.[/tex]
g(x) = 3x[tex]^4+[/tex]4
[tex](g(x))^4=(3x^4+4)^2[/tex]
Now using the formula of [tex](a+b)^2=a^2+2ab+b^2[/tex].
Now solving
[tex](g(x))^4=(3x^4)^2+2\times(3x^4)\times4+(4)^2[/tex]
Simplifying
[tex](g(x))^4=9x^8+24x^4+16[/tex]
Now putting the value of f'(x), g'(x) and (g(x))[tex]^2.[/tex] in the equation (1)
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(3x^4+4)(4x^3)-(12x^3)(x^4+1)}{9x^8+24x^4+16}[/tex]
Simplifying
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(3x^4(4x^3)+4(4x^3))-((12x^3)x^4+1(12x^3))}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(12x^{(4+3)}+16x^3)-(12x^{(3+4)}+12x^3)}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(12x^{7}+16x^3)-(12x^{7}+12x^3)}{9x^8+24x^4+16}[/tex]
Now solving the bracket
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{12x^{7}+16x^3-12x^{7}-12x^3}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{16x^3-12x^3}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{4x^3}{9x^8+24x^4+16}[/tex]
Hence, the differentiate the function with respect to x is [tex]\frac{4x^3}{9x^8+24x^4+16}[/tex] .
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For a field trip 9 students rode in cars and
the rest filled eight buses. How many
students were in each bus if 265 students
were on the trip?
Answer:
32 students were on each bus.
Step-by-step explanation:
First deduct 9 students from the total number: 265 - 9 = 256
Then divide the students among the total number of buses, which is 8: 256/8 = 32
So there are 32 students on each bus.
Hope this helps
Please give brainliest
I NEED HELP ASAP PLS!!
Answer:
7.8
Step-by-step explanation:
Switch 8 and 7, it round to 8 and end in tenths.
Answer:
7.8
Step-by-step explanation:
7.8 rounds to 8, because 8 is greater than 5, and then we end in the tenths place.
If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, what conclusion would we make?
Group of answer choices
A) Accept the null hypothesis.
B) Reject the alternative hypothesis.
C) Fail to reject the null hypothesis.
D) Reject the null hypothesis.
If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, the conclusion which we would make is: A) accept the null hypothesis.
What is a p-value?A p-value is also referred to as the probability value and it can be defined as a probability which arises when the null hypothesis (H₀) is true of obtaining a sample result that is at least as unlikely as what is originally observed.
In Mathematics, the following rules are applicable to both a p-value and a hypothesis test:
Accept the null hypothesis when the p-value is greater than the significance level (alpha).Reject the null hypothesis when the p-value is less than the significance level (alpha).In this context, we can logically deduce that the null hypothesis would be accepted because the p-value (0.023) is greater than a significance level of 0.05 and not statistically significant.
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A movie theater sends out a coupon for 54% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation for the representation of the given situation will be
y = x - 0.54x, and the graph of the equation should only be in the first quadrant because x and y is representing a price which can't be negative.
What is an equation?An equation is a statement that says that the value of two mathematical expressions is equal.
Given that, a cinema sends out a coupon for 54% off the price of a ticket.
The equation for this situation will be y = x - 0.54x,
And the line of this equation will always lie in the first quadrant because values of x and y in the first quadrant are always positive, and here x and y are prices which can't be negative.
Hence, the graph of the equation should only be in the first quadrant because x and y is representing a price which can't be negative and The equation for the representation of the given situation will be
y = x - 0.54x
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Using front-end estimation, find a reasonable estimate of: 719x26=?
The estimation of 719 x 26 is 14,000
What is rounding off?Making a number simpler so that its value stays near to its original state is known as rounding. Although less exact, the outcome of rounding off a number is simpler to utilise.
Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
Estimation of 719 x 26
Now, Round off nearest hundred for 719 which is 700
i.e., Round 719 = 700
Now, Round off nearest hundred for 26 which is 20
i.e., Round 26 = 20
Hence, the estimation is 700 x 20 = 14,000.
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Solve The Problem
All the students in grades
and are going on a field trip to Coney Island
Each grade has 125 students. The cafeteria needs to pack lunches. About how
many students are going on the trip? Represent the exact amount of students
in all three grades using an array, How many students are there altogether? Please help me thank you
The total number of students going on a trip is 375 students.
Given that,
The entire third through fifth graders are taking a field trip to Coney Island. There are 125 pupils each grade. The cafeteria should provide lunches.
We have to find how many students will be travelling on the trip.
So,
In Grade 3 we have 125 students.
In Grade 4 we have 125 students.
In Grade 5 we have 125 students.
So,
Total number of students going on trip = Number of students in Grade 3 + Number of students in Grade 4 + Number of students in Grade 5
= 125 + 125 + 125 = 375.
Therefore, The total number of students going on a trip is 375 students.
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If tan 8 = 3 and 8 lies in the second quadrant. Use a Pythagorean identity to find
the exact value of cos 6.
The exact value of Cosθ is -1/√10 .
In the question ,
it is given that ,
the value of tanθ = 3/1 ,
that means the perpendicular = 3x
and the base of the triangle is = 1x,
So ,By Pythagoras Theorem
hypotnuse² = perpendicular² + base²
hypotnuse² = (3x)² + (1x)²
hypotnuse² = 9x² + 1x²
hypotnuse² = 10x²
hypotnuse = (√10)x
So , Cosθ = base / hypotnuse
Cosθ = 1x/(√10)x
Cosθ = 1/√10
Since , [tex]\theta[/tex] lies in the second quadrant ,
and in second quadrant Cos is negative ,
So , Cosθ = -1/√10
Therefore , The exact value of Cosθ is -1/√10 .
The given question is incomplete , the complete question is
If Tanθ = 3 , θ lies in the second quadrant. Use a Pythagorean identity to find the exact value of Cosθ ?
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Richard made punch for a party. He used 1\2 cup of pineapple juice, 1\2 cup of ginger ale, and 1\4 cup of white grape juice. How much liquid did he use in the punch? cups
The liquid that Richard used in the punch is 1 1/4 cups.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Richard made punch for a party. He used 1/2 cup of pineapple juice, 1/2 cup of ginger ale, and 1/4 cup of white grape juice.
The total fraction will be:
= 1/2 + 1/2 + 1/4
= 1 1/4 cups.
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Sketch the graph of each line
The straight line y = x -1 is shown figure
Sketching graph of a line:
To plot straight-line graphs we need to take values of x and y values to make a value table and to work out the graph.
Take x values as -1, 0, 1, etc. to make our work easy and clearer, and from that find the values of y.
After calculating the coordinates, use the resultant points to plot the line as a graph.
Here we have a line
y = x -1
To sketch the graph we need to make a value table as given below
First take x values as, -1, 0, 1 from that find the values of y
At x = -1 => y = -1 - 1 = -2
At x = 0 => y = 0 - 1 = -1
At x = 1 => y = 1 - 1 = 0
From the above calculations, the value table is
x -1 0 1
y -2 -1 0
Use the above value and Sketch the graph
[ the resultant graph is shown below ]
The straight line y = x -1 is shown figure
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Rewrite the expression in simplest form.
(x^3 + 2x^2 -x) -(x^3 + 2x^2+6)
Hope this helps!! :]
What number when multiplied by 1 1/4 has a product of 1
Answer: 4/5 or 0.8
Step-by-step explanation:
[tex]1\frac{1}{4}[/tex] * [tex]\frac{4}{5}[/tex] = [tex]\frac{1}{1}[/tex] = 1
[tex]1\frac{1}{4}[/tex] is also equal to 1.25.
1.25 * 0.8 = 1
Answer:
4/5
Step-by-step explanation:
because 4 is half of a half two fourths are a half and 4/4 are 1 whole
(b) A local store is keeping track of service times. The table below
shows the number of customers served and the time it took.
Number of customers 2-6-7
Time (in minutes) 8-24-28
_It does not always take the same amount of time to serve each customer.
_It appears to take the same amount of time to serve each customer
Histogram for the following intervals will be,
5-9 (4)
10-14 (3)
15-19 (5)
20-24 (3)
What are histograms?The data are numerical.When establishing whether the output of a process is distributed roughly regularly, you want to see how the data are dispersed.determining whether a method can satisfy the needs of the customerexamining the appearance of the product of a supplier's procedureDetermining whether the outputs of two or more processes are different and determining whether a process has changed from one time period to another.You want to let others know about the rapid and simple sharing of data.Acc to our question-
On your y-axis, you would draw a frequency that goes up to 5. Because the data is sequential, make sure the bars are touching (in order).Name the customers on your x-axis.Label the frequency y-axis.hence, histogram will show the values.
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Which graph represents a system of equations that has no solution?
Answer:
It is A
Step-by-step explanation:
I have brainly tutor and had that exact question
Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 8 $ 6.00 A Apr. 11 24 $ 11.00 B May 17 30 $ 14.00 C Dec. 5 19 $ 16.00 D 21 units sold
The completion of the inventory table is as follows:
A = $48
B = $264
C = $420
D = $304.
What are the inventory methods?The above inventory table is completed using some of the inventory methods including:
FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.
Specification Identification does not base allocating the costs of goods sold and ending inventory on any assumptions. Instead, it uses specific costs.
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 8 $6.00 $48 ($6 x 8)
Apri. 11 Purchases 24 $11.00 $264 ($11 x 24)
May 17 Purchases 30 $14.00 $420 ($14 x 30)
Dec. 5 Purchases 19 $16.00 $304 ($16 x 19)
Total 81 $1,036
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An electrician cuts a 50 ft piece of wire into 3 pieces. The first piece is 4 ft longer than the second piece and the third piece is 2 feet shorter than the second piece. How long are the pieces?
The required length of the pieces is given as 20 ft, 16ft, and 14ft.
Given that,
An electrician cuts a 50 ft piece of wire into 3 pieces. The first piece is 4 ft longer than the second piece and the third piece is 2 feet shorter than the second piece. How long are the pieces is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
according to the question,
Length of the first, second, and third be x, y and z,
According to the question,
x + y + z = 50 - - - - - - - - (1)
x = y + 4
z = y - 2
put x and z in equation 1
y + 4 + y + y - 2 = 50
3y = 50-2
y = 48/3
y = 16 ft
Now,
x = 16 + 4 = 20 ft
z = 16 - 2 = 14 ft
Thus, the required length of the pieces is given as 20 ft, 16ft, and 14ft.
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What is the solution to the system graphed below? PLS ANSWER WILL MARK BRAINLIST
The solution to the system graphed is (2, 0).
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that changes over time is represented by a line graph.
Given:
From the graph we have two line red and purple.
The intersecting point for both line is (2, 0).
Hence, the solution to the system graphed is (2, 0).
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absolute value 2x - 6 less than 0
The solution set for the inequality is (-3, 3)
How to solve the absolute value inequality?Here we have the absolute value inequality
|2x| - 6 < 0
To solve this, we need to isolate the variable, which in this case is x.
Adding 6 in both sides we get:
|2x| -6 + 6 < 0 + 6
|2x| < 6
This can be decomposed in the inequality:
-6 < 2x < 6
Now to competely solve the inequality, we will divide both sides by 2, so we get:
-6/2 < 2x/2 < 6/2
-3 < x < 3
So the solution set is (-3, 3)
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Eve needed to collect the eye color of 50 random people for a high school statistics project. Being shy, she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. Upon hearing of her data collection process, her project partner, Adam, stated that all the data was useless. His rationale was that the data was not truly random since Eve knew the people in her sample. Adam believed random data must come from strangers. Do you believe Adam is correct or is Eve's data actually random? Explain your position.
Eve's data is a random sampling since she picked the participants randomly.
What is a random sampling?A simple random sample is a subset of a population chosen at random. This sampling strategy gives each person of the population an exact equal chance of being chosen, reducing the likelihood of selection bias.
To be considered a truly random sample, every subject in your target demographic must have an equal chance of being chosen. Conducting a study to estimate the length of time college students workout at your campus each week is an example of breaking this assumption.
In this case, Eve needed to collect the eye color of 50 random people for a high school statistics project and she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. In this case, she picked them randomly. In Adam's case, it doesn't necessarily have to be strangers.
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A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8kgL of salt enters the tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 2 L/min. A(t) is the amount of salt in the tank at time t measured in kilograms.
A(t)= ?kg
Transcribed image text: (1 point) A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8 min of salt enters the tank at the rate 6 min. The solution is mixed and drains from the tank at the rate 3 IA(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0.
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Answer: yes
Step-by-step explanation:
ADC ~ CDB by the AA triangle similarly theorem. what is the measure of AC? Round to nearest 10th
The measure of side AC in the triangle is 2.7 m
Calculating measures of sides in similar trianglesFrom the question, we are to determine the measure of AC
From the given information, we have that ΔADC is similar to ΔCDB
Thus,
We can write that
|DC| / |DB| = |AC| / |CB|
From the diagram,
|DC| = 5.5 m
|DB| = 6.3 m
|AC| = h
|CB| = 3.1 m
Then,
5.5 / 6.3 = h / 3.1
∴ h = (5.5 × 3.1) / 6.3
h = 17.05 / 6.3
h = 2.70635 m
h ≈ 2.7 m
Hence,
The length of AC is 2.7 m
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