Is the following item an expression, equation, or inequality.
13 + 6
Inequality
Expression
Equatic
Answer:
Expression
Step-by-step explanation:
An inequality includes variables and an equation includes an equal sign.
Hope this helps!
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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The City of State College plans to issue bonds with a par value of $5,000 that will issue 8% quarterly payments for 7 years. If a
purchaser wants earn 6% per quarter over the lifetime of the bond, how much would the purchaser be willing to pay for the bond?
The solution is, 85.84 would the purchaser be willing to pay for the bond.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
•At a 1000 par value, 8%, the coupon
will be 80 (1000*0.08).
•It is also compounded quaterly = 80/4 = 20 per quarter.
•Nominal interest rate= 6%, = 1.5% per quater.
•Face value = 1000
•Since it is cimpounded quaterly, n = 5years*4 = 20
To find the redemption value at the end of five years, we need to first find the present value of the bond.
= 20/(1+0.015)+ 20/(1+0.015)² + 20/(1+0.015)³+20/(1+0.015)⁴..............+20(1+0.015)^20
= 1085.84
Therefore the redemption value after five years will be:
Present value - face value
1085.84-1000
= 85.84
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
HELP PLEASE!
I need the answer please!
Answer:
The triangles are similar in that the smaller triangle was dilated by a scale factor of 1/4 which means that the length of the missing side is 20m
Step-by-step explanation:
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16\(t^{2}\) + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + \(\frac{1}{2}\)g\(t^{2}\)
S = \(\frac{1}{2}\)g\(t^{2}\)
464 = \(\frac{1}{2}\)*9.8*\(t^{2}\)
\(t^{2}\) = \(\frac{928}{9.8}\)
= 94.694
t = \(\sqrt{94.694}\)
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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WHAT IS THE GOAL FOR THE TOPIC OF FINDING THE CENTER AND THE RADIUS OF A CIRCLE GIVEN THE EQUATION?
The goal is to find the radius of a circle which also helps to get the diameter. Finding the center helps to measure and know the circumference.
i need serious help someone pleaseeeee
The value of c in the polynomial is - 7.
How to solve polynomials?The polynomial is given as follows:
p(x) = 2x³ - x² + cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:
Therefore,
p(x) = 2x³ - x² + cx + 2
when x - 2 is a factor, p(x) = 0
Therefore,
0 = 2x³ - x² + cx + 2
Hence,
2(2)³ - (2)² + 2c + 2 = 0
16 - 4 + 2c + 2 = 0
12 + 2 + 2c = 0
2c = - 14
divide both sides by 2
c = - 14 / 2
c = - 7
Therefore,
c = -7
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What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Find the distance between the two points rounding to the nearest tenth
(-4, 2) and (3, 5)
Answer:
-8.66666666666666666666666666666666666
-9
Step-by-step explanation:
Chad rolls a 6-‐sided number cube. Which of the following describes the probability of rolling a factor of 32?
Impossible
Unlikely
Equally likely as not
Likely
Certain
Answer:
1,2 and 4 are the factors of 32 in numbers between 1 to 6
so probability of rolling a factor of 32 is = 3/6 = 1/2
now, the probability of not rolling the factor of 32 = 1 - 1/2 = 1/2
therefore, The probability is same for both cases.
Your answer is Equally likely as not
By : Modern Einstein
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
The exponential model A=433.4e^0.032t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 796 million.
The population of the country will be 796 million in
(Round to the nearest year as needed.)
The population of the country will be 796 million approximately in the year 2022.
To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:
\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)
Divide both sides by 433.4:
\(e^{(0.032t)} = 1.836\)
Take the natural logarithm of both sides:
\(ln(e^{(0.032t)}) = ln(1.836)\)
0.032t = 0.605
Divide both sides by 0.032:
t = 18.91
Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:
2003 + 19 = 2022
Therefore, the population of the country will be 796 million approximately in the year 2022.
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HELLLLLLPPPPPPPPO MEEEEEEEEE
Answer:
Volume = lwh
V = 1.6 x 2.8 x 3.2
V = 14.336
V = 14.3 cubed
Yellow is the right answer.
Please help....................................
Answer:
18
Step-by-step explanation:
-108 = 54 - 9x
Transfer like terms to the same side of the equation.-108 - 54 = -9x
Subtract expression.-162 = -9x
Since both sides are negative we can write it as positive expressions.162 = 9x
Divide both sides by 9.18 = x
Answer:
x = 18
Step-by-step explanation:
Given equation:
-108 = 54 - 9x
Begin by subtracting 54 on each side.
-108 - 54 = -9x
-162 = -9x
Next, divide each side by -9.
18 = x
Whereupon we conclude that the answer is 18.
Helpppppppp me …………………..
Answer:
first let's solve for x
x + (x + 30) + 2x = 180
4x + 30 = 180
-30 -30
4x = 150
/4 /4
x = 37.5
Now solve for the angle measures:
(x + 30) = (37.5 + 30) = 67.5
2x = 2(37.5) = 75
x = 37.5
Answer:
X= 37.5
Step-by-step explanation:
Question 1
Given the demand function D(p) = √/100 - 2p
Find the Elasticity of Demand at a price of $6.
At this price we would say demand is
Inelastic
Unitary
Elastic
Based on this to increase revenue we should
Lower prices
Keep prices unchanged
Raise prices
Answer:
At this price, i would say the demand is: Unitary Inelastic Elastic Based on this, to increase revenue we should: Lower Prices Raise Prices Keep Prices
the area of a sail on a boat is 30 square feet and the height is 5 foot. what is the length of the other side
Which graph represents y=x−2
Answer:
Graph D is correct
Step-by-step explanation:
hope it helps ^^
Answer:
graph d
Step-by-step explanation:
MARK BRAINLIEST (RELOAD AND CLICK THE CROWN)
waht is 3.50 times 43.5
Answer:152.25
Step-by-step explanation:
3.5""""""""""""""""""""43.5
152.25
The 3.50 times of the 43.5 will be 152.25.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number which will be very big as compare to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
For example 2 × 9 = 18 in this the number 18 is very big as compared to 2 and 9.
A another example is 0.5 × 9 = 4.5 in this case the number 4.5 is less than 9 because of the 0.5 is less than 1.
Given that 3.50 times 43.5
3.50 × 43.5
⇒ 152.25 hence, 152.25 will be the correct option.
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Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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help⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️
Answer: 2/1/3
Step-by-step explanation:
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-3,1) (-7,-2)
Line 2: (2,-1), (8, 4)
The slope of line 1 is
.
The slope of line 2 is
.
Answer:
Answer:
We use the formula:
y2 - y1 / x2 - x1
-2 - 1 / -7 - (-3) ---> this gives us -3 / -4 or simply 3/4. So our slope for line 1 is 3/4.
Now using the formula, (y - y1) = m (x - x1) we find the line.
(y - 1) = 3/4 (x - (-3)) ---> (y - 1) = 3/4x + 9/4.
Now we add one to each side to get y = 3/4x + 13/4.
Now for line 2, we use the same process and formulas.
Find the slope of line 2.
4 - (-1) / 8 - 2 gives us 5/6. Our slope for line 2 is 5/6.
(y - (-1)) = 5/6 (x - 2).
(y + 1) = 5/6x - 5/3 ---> now subtract one from both sides to get...
y = 5/6x - 8/3.
Since the two lines do not have the same slope or the negative reciprocal of one slope being the other, the two lines through the given points are neither parallel nor are they perpendicular
2x + 2 = 5x -8 simplify
Una was asked to write about predicting population means by taking the means of samples. She recorded a list of some statements generated from her classmates. Which statements are true? Select three choices. The best prediction of the population mean is the value that falls between the least and greatest sample means. It is unlikely that the population mean will be the least or greatest mean from the samples. If the means of different samples are close in number, or have small variation, then they cannot be used to make predictions for the actual population. A more accurate prediction of the population mean can be made by decreasing the number of random samples. To find the range of the sample means, subtract the least value from the greatest value.
Answer:
Hello everyone I hope you are all hanging in there. The answer is 1,2 and 5
Step-by-step explanation:
Remeber you are enough. Hope this helps <3
Answer:
Step-by-step explanation:
The best prediction of the population mean is the value that falls between the least and greatest sample means.
It is unlikely that the population mean will be the least or greatest mean from the samples.
To find the range of the sample means, subtract the least value from the greatest value.
HELP PLZ A circle inscribed in a triangle:
Answer:
The answer is the second photo.
Step-by-step explanation:
It's literally a circle in a triangle. So, it's the second one.
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
Calculus 1 Question.
Answer: B
Step-by-step explanation:
f(2) = 2, and is defined/exists. Holes (and asymptotes) like the hole at (2, -2) ruins continuity. The limit exists, but is not equal to f(2) which is why continuity is ruined at x=2
Answer: B
Step-by-step explanation:
f(2) = 2 and exists/is defined Holes (and asymptotes) such as the one at (2, -2) destroy continuity. The limit exists, but it is not equal to f(2), hence continuity is broken at x=2.
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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