Answer:
I think the solution will be like this
I hope it's right :)
do exponential functions have horizontal asymptotes?
9514 1404 393
Answer:
yes
Step-by-step explanation:
The parent function e^x has a horizontal asymptote at y=0.
Which of the following terms correctly describe the object below?A.SquareB.PolygonC.TriangleD.PolyhedronE.PyramidF.Prism
Recall the definition of each concept to check if it fits the figure.
A) Square: A square is a quadrilateral whose sides all have the same length.
B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.
C) Triangle: A triangle is a polygon with exactly 3 sides.
D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.
E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.
F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.
The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.
Therefore, the only two terms that correcty describe the given object are:
D) Polyhedron
E) Pyramid
Please help
A ferry that carries passengers and vehicles across a channel charges a base rate of $30 per vehicle. The first two passengers are included in this price, but each additional passenger is charged $5. Additionally, the ferry charges more for vehicles over 4,000 pounds. The rate for excess weight is $10 per 500 pounds.
-Write an equation for this situation.
-Find the cost of a truck that weighs 5,000 pounds with three passengers.
The cost of the truck with 3 passengers is A = $ 45
Given data ,
Let's denote the number of passengers as P and the weight of the truck in pounds as W.
For the base rate of $30 per vehicle, the equation can be written as:
Cost = $30
For additional passengers beyond the first two, the equation can be written as:
Cost += ($5) * (P - 2)
For excess weight over 4,000 pounds, the equation can be written as:
Cost += ($10) * (W - 4000) / 500
To find the cost of a truck that weighs 5,000 pounds with three passengers, we substitute the values into the equation:
Cost = $30 + ($5) * (3 - 2) + ($10) * (5000 - 4000) / 500
Simplifying the equation:
Cost = $30 + $5 + $10
Cost = $45
Hence , the cost of a truck that weighs 5,000 pounds with three passengers would be $45
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A parallelogram and some of its
dimensions are shown below.
2
15 in.
T
hin.
The area of the parallelogram is
90 square inches. What is h, the height
in inches of the parallelogram?
A.
6
B.
8
C. 10
D. 12
Which of the following expressions
3
Answer:
8?
Step-by-step explanation:
i am not sure
Why is -80.63 not an integer?
Answer:
Essentially, integers are any full number so no decimals.
Explanation:
Altough it could be -34, 0, 14, etc but not 5.3. so as long as nothing is in the decimal place, its an integer
I hope this helps, have a blessed day!
Find the equation of the linear function represented by the table below in
slope-intercept
form.
Answer:
y = x + 5
Step-by-step explanation:
You can see that x is increasing at exactly the same rate as y. That rate is 1. This gives the graph a slope of 1. Now we can determine by subtracting 1 from y when x = 1 that the y intercept is 5. Slope intercept is y = mx+b. The y intercept is b which is five and the slope is m which is one.
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
Answer:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism.
Answer:
40
Step-by-step explanation:
The prism is measured with cubes that are \dfrac12\text{ cm}
2
1
cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text on all edges.
So, let's change our dimensions to be written in halves.
Hint #22 / 4
The length is \dfrac\redD52\text{ cm}
2
5
cmstart fraction, start color #e84d39, 5, end color #e84d39, divided by, 2, end fraction, start text, space, c, m, end text, so it is made up of \redD{\text{five}}fivestart color #e84d39, start text, f, i, v, e, end text, end color #e84d39 \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction cubes.
The width is \dfrac\greenD42\text{ cm}
2
4
cmstart fraction, start color #1fab54, 4, end color #1fab54, divided by, 2, end fraction, start text, space, c, m, end text, so it is made up of \greenD{\text{four}}fourstart color #1fab54, start text, f, o, u, r, end text, end color #1fab54 rows of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction cubes.
So, the bottom layer of cubes is made up of \greenD44start color #1fab54, 4, end color #1fab54 rows of \redD55start color #e84d39, 5, end color #e84d39 cubes.
\greenD4\times \redD5=204×5=20start color #1fab54, 4, end color #1fab54, times, start color #e84d39, 5, end color #e84d39, equals, 20
The bottom layer has 202020 cubes.
Hint #33 / 4
The height is \dfrac\purpleD22\text{ cm}
2
2
cmstart fraction, start color #7854ab, 2, end color #7854ab, divided by, 2, end fraction, start text, space, c, m, end text, so it is made up of \purpleD{\text{two}}twostart color #7854ab, start text, t, w, o, end text, end color #7854ab layers of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction cubes.
So, there are \purpleD22start color #7854ab, 2, end color #7854ab layers of 202020 cubes.
\purpleD2\times 20=402×20=40start color #7854ab, 2, end color #7854ab, times, 20, equals, 40
Hint #44 / 4
It takes 404040 of the \dfrac12 \text{ cm}
2
1
cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text cubes to fill the prism.
PLEASE HELP I don’t have a lot of time to answer this question but i just don’t understand it.
The preimage of B' is B in the given transformation.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, Δ ABC is transformed into Δ A'B'C',
The corresponding preimages of the vertices are =
A → A'
B → B'
C → C'
Hence, the preimage of B' is B in the given transformation.
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\( \)
\( \rm \: Find \: \frac{dy}{dx} if \: y = sin \: x \degree\)
\(\rm \: Hint :y= sin x° = sin( \frac{\pi \: x}{180} )\)
( Convert degree to ratio )
\( \: \: \: \)
Thanku:)
Answer:
Given that:
\(\longmapsto{ \large{ \rm{y = \sin \:x \degree}}}\)
We know that,
\( \dashrightarrow{ \boxed{ \red{ \rm{1 \degree = \left ( \frac{\pi}{100} \right)^{c} }}}}\)
So, using this, above given can be written as,
\({ \large{ \longrightarrow{ \rm{y = \sin \left( \frac{\pi x}{180} \right) }}}}\)
On differentiating both sides w.r.t. x, we get:
\({ \large { \longrightarrow{ \rm{ \frac{d}{dx}y = \frac{d}{dx} \sin \left( \frac{\pi x}{180} \right) }}}}\)
We know that,
\({ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} \sin x = \cos x }}}}}\)
So, using the result, we get:
\({ \large{ \longrightarrow{ \rm{ \frac{d}{dx} = \cos \left( \frac{\pi \: x}{180} \: \right) \frac{d}{dx} \left( \frac{\pi \: x}{180} \right) }}}}\)
We know that,
\({ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx}k \: f(x) = k \frac{d}{dx} \: f(x)}}}}}\)
So, using this, we get:
\({ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \cos \left( \frac{\pi \: x}{180} \right) \: \times \: \left( \frac{\pi}{180} \right) \frac{d}{dx} x}}}}\)
We know that,
\({ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} x= 1 }}}}}\)
So, using this, we get:
\({ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \: \cos \left( \frac{\pi \: x}{180} \right ) \times 1}}}}\)
Hence:
\({ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \left( \frac{\pi \: x}{180} \right) }}}}}\)
OR\({ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \: x \degree }}}}}\)
\( \: \: \)
Learn More:
\( \boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}\)
The balance in Jake's checking account is $45.55. What would happen if he wrote three checks for $20.00 each?
Answer:
Iam not sure but i think its -14.45$
Step-by-step explanation:
45.55-20-20-20
After withdraw the amount he have - $14.45 in his account.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The balance in Jake's checking account is $45.55.
Here, he wrote three checks for $20.00 each.
Hence, Total amount to withdraw is,
⇒ $20.00 x 3
⇒ $60.00
Hence, Left money in his account = $45.55 - $60.00
= - $14.45
Thus, After withdraw the amount he have - $14.45 in his account.
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Simplify the following expression
[(3 x 6) + (5 x 2)] ÷ 7
Answer:
4
Step-by-step explanation:
(3)(6)+(5)(2) /7
= 18+(5)(2) /7
=( 18+10) /7
= 28 /7
=4
There are two spinners containing only purple and orange slices.
Spinner A has 9 orange slices and 11 purple slices.
All the slices are the same size.
Spinner B has 8 orange slices and 8 purple slices.
All the slices are the same size.
Each spinner is spun.
List these events from least likely to most likely.
Event 1: Spinner B lands on a purple slice.
Event 2: Spinner B lands on an orange or purple slice.
Event 3: Spinner A lands on a white slice.
Event 4: Spinner A lands on an orange slice.
Least likely
Most likely
Event Event Event Event
Solution
Event 1: Probability is 8/16 = 1/2
Event 2: Probability is 1(certain to happen)
Event 3: Probability is 0(Impossible). There are no white slices in Spinner A
Event 4: Probability is 9/20
pros and cons of z. 3 THE FIRST Custom.
wt Water Cycle Discov_ 65
Quia - Indepe
Andrea Mills
Solve System of Equations from Context
Apr 25, 4:49:15 PM
?
Lincoln is working two summer jobs, making $13 per hour lifeguarding and $23 per
hour tutoring. Last week Lincoln earned a total of $210 and worked 4 times as many
hours tutoring as he worked hours lifeguarding. Determine the number of hours
Lincoln worked lifeguarding last week and the number of hours he worked tutoring
last week.
Lincoln worked
hours lifeguarding and
hours tutoring.
Submit Answer
attempt 1 out of 2)
Pros and cons of "z.3 THE FIRST Custom" and "wt Water Cycle Discov_65" are not clear without context.
Regarding the math problem, let x be the number of hours Lincoln worked as a lifeguard and y be the number of hours he worked as a tutor. We can set up a system of equations based on the information given in the problem:
x + y = total hours worked
13x + 23y = 210 (total earnings)
We also know from the problem that Lincoln worked 4 times as many hours tutoring as he worked hours lifeguarding, so we can set up another equation:
y = 4x
Substituting this equation into the first equation, we get:
x + 4x = 5x
Substituting the second equation into the second equation, we get:
13x + 23(4x) = 13x + 92x = 105x
Now we can substitute these simplified equations into the original equation:
13x + 23y = 210
13x + 23(4x) = 210
13x + 92x = 210
105x = 210
x = 2
Therefore, Lincoln worked 2 hours as a lifeguard last week and 8 hours as a tutor last week.
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420 metres of fencing are needed to enclose a rectangular field. If one side is 90 metres more than the other, find the dimensions of the field.
Answer:
214200
Step-by-step explanation:
Which equation can be used to find marc m n? marc m n 150 = 180 marc m n 150 = 360 marc m n – 150 = 180 marc m n – 150 = 360
The complete question is
"Segment MP is a diameter of circle O. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.
Which equation can be used to find mArc M N?
mArc M N + 150 = 180, mArc M N + 150 = 360, mArc M N – 150 = 180, mArc M N – 150 = 360"
The Equation m Arc(MN) + 150 = 180 is used to find mArc MN. Thus, the correct option is A.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
It is Given:
Segment MP is the diameter of circle O. Circle O is shown.
Line segment M P is a diameter.
Line segment N O is a radius.
∠NOP = 150°
We need to Find the Equation for m Arc MN
We already know the Diameter subtends 180° as it is the half of Circle 360°
∠NOP = 150°
∴ m(Arc NP) = 150°
The measure of an arc is the measure of its central angle
Therefore,
m Arc Diameter = 180°
m Arc(MN) + m Arc(NP) = 180
m Arc(MN) + 150 = 180
Therefore, the Equation m Arc(MN) + 150 = 180 is used to find mArc MN.
Thus, the correct option is A.
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Can someone please help what is the answer btw it’s not b because I did it and got it wrong
Answer:
its the first one thats not true, so the first one is the answere
Step-by-step explanation:
"the hickers were on the maxemum hight at the y-intrepet"
i hope this helps :)
In one week, a printing center made 1,222 copies of a 46 page article. The printing center also
printed 485 copies of a 16 page essay. How many pages did the printing center print during the
week?
If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.
Number of pageFirst step is to calculate first sets printed
Number of pages=(1222 copies×46 page article)
Number of pages=56,212
Second step is to calculate the second set printed
Number of pages=(485 copies×16 page article)
Number of pages=7,760
Third step is to calculate the total pages
Total pages=56,212+7,760
Total pages=63,972 pages
Therefore If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.
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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
The length of the shorter leg will be 2.5 feet and the length of the longer leg is 4.5 feet.
How to calculate the value?The Pythagoras theorem will be used in calculating the lengths.
This will be:
a = First leg = x
b = Second leg = x + 4
c = Hypothenuse = 7
In this case, the values will be substituted into the formula given below:
a² + b² = c²
x² + (x + 4)² = 7²
x² + x² + 8x + + 16 = 49
Collect like terms
2x² + 8x + 16 - 49
2x² + 8x - 33
By using the quadratic formula, the value of x will be 2.5. This is the shorter leg. The Longer leg will be: 2.5 + 4 = 6.5 feet
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2. Use mathematical induction to show that n(n+1)(2n+1) is divisible by 6 for all positive integers n.
The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.
Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.
Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.
\(LHS = 1(1+1)(2*1+1) = 6\)
It is divisible by 6. Hence, the statement is true for n=1.
Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).
Step 3: We need to prove the statement is true for n=k+1.
So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6
Using the assumption we made in step 2.
\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)
Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.
So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.
Hence, the statement is true for n=k+1.
Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.
Hence, by mathematical induction, we can say that the statement is true for all positive integers n.
Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.
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the chance of getting a rare disease is .03 per person. out of 1,000 people, how many of them are expected to get the disease?
Answer:
I believe the answer would be 30 people.
Step-by-step explanation:
To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.
Rachel and Jennifer are taking the same biology class. They have a test in about a week during an 8-9AM class period. Both plan to study for about 5 hours, but because of different work schedules, Rachel will study one hour each day for 5 days and Jennifer will study 5 hours the day before the exam. What do you predict about their scores
Rachel should perform better because of the spacing effect.
Given,
Rachel will study one hour each day for 5 days and Jennifer will study 5 hours the day before the exam.
What do you predict about their scores?
Rachel should perform better because of the spacing effect.
The spacing effect demonstrates that learning is more effective when study sessions are spaced out. This effect shows that more information is encoded into long-term memory by spaced study sessions, also known as spaced repetition or spaced presentation, than by massed presentation.
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1. What is the slope of the line in the graph below?
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
2
Step-by-step explanation:
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Because the graph is starting high and going down, your answer is c- exponential decay
Answer:
This is exponential decay.
Step-by-step explanation:
Lets break down the answers:
A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.
B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.
C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.
D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.
I do not know how to solve this... Please help
An expression that represents the measure of the third side is 4x.
What is the perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
The perimeter of the triangle is 3x² - 7x + 2.
And the measures of the two sides are x² - x - 4 and 2x² - 10x + 6.
The measure of the third side = the perimeter of the triangle - (the total measure of the two sides)
The measure of the third side = 3x² - 7x + 2 - (x² - x - 4 + 2x² - 10x + 6)
The measure of the third side = 3x² - 7x + 2 - (3x² - 11x +2)
The measure of the third side = 4x
Therefore, the measure of the third side = 4x.
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What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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Julie deposits $5000 at a rate of 4.2% compounded quarterly. With no additional deposits or withdrawals, what is the account balance after 4 years?
Answer:
$5,909.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.2/100
r = 0.042 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.042/4)(4)(4)
A = 5,000.00(1 + 0.0105)(16)
A = $5,909.50
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 4.2% per year compounded 4 times per year over 4 years is $5,909.50.
IM SO LOST PLS HELP ME
\(~~~~~~~c = \dfrac{a^2 +3b}{4}\\\\\implies 4c = a^2 +3b\\\\\implies 3b = 4c-a^2\\\\\implies b = \dfrac{4c-a^2}{3}\)
Answer:
b = \(\frac{(4c-a^2)}{3}\)
Step-by-step explanation:
\(c=\frac{a^{2}+3b }{4}\)
First, let us multiply both sides by 4.
4c = a² + 3b
Now let us take a² to the left side.
4c - a² = 3b
Now to make b as the subject let us divide both sides by 3.
\(\frac{(4c-a^2)}{3} =\frac{3b}{3}\)
Therefore,
b = \(\frac{(4c-a^2)}{3}\)
62 in x 48 in 144 in Set Up Proportion height=
Answer:
A geometric diagram of the two shadows and the height of the two people are shown below.
Step-by-step explanation:
In a recent survey of college students, it was determined that 4 out of 5 students drink coffee. Of those students who drink coffee, 1 out of 8 students adds cream. If a college campus has 18000 students, how many students drink coffee with cream?
The number of students who drink coffee with cream is 1800.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that in a recent survey of college students, it was determined that 4 out of 5 students drink coffee. Of those students who drink coffee, 1 out of 8 students adds cream. If a college campus has 18000 students.
The number of students who drink coffee with cream is calculated as:-
Number = ( 4 / 5 ) x ( 1 / 8 ) x 18000
Number = 1800
Therefore, there are 1800 students who like their coffee with cream.
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The angles of a triangle are described as follows:
Answer:
Acute, Right, Obtuse, Equilateral, Isosceles, Scalene,
Step-by-step explanation: