karen purchased dvd 153.77 sale price the original price of dvd was 175.90 what is percent markd ou wn
Answer:
The price was marked down by 12.58%
Step-by-step explanation:
153.77 is a 12.581011938601% decrease of 175.90.
Percentage of decrease = |175.90 - 153.77|/175.90 = 22.13/175.90 = 0.12581011938601 = 12.581011938601%
5^11/5^?=5^4 i need help with this
Answer:
7
Step-by-step explanation:
you do 11-4 to get 7, which is how you solve for missing expontentials
Step-by-step explanation:
\( \frac{ {5}^{11} }{ {5}^{x} } = {5}^{4} \\ {5}^{x} = \frac{ {5}^{11} }{ {5}^{4} } \\ {5}^{x} = {5}^{(11 - 4)} = {5}^{7} \\ \boxed{x = 7}\)
7 is the right answer.Use Pythagorean theorem to find area. Help!! ;-;
Answer:
area=135
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
8^2+b^2=17^2
64+b^2=289
b^2=225
b=15
15 is the missing side length
The area is comprised of two triangle (which make one rectangle) and one rectangle (1 unit by 15).
area= bh(of a triangle) + bh(of the middle rectangle
area=8(15)+1(15)
area=135
James has $6.75 in his coin bank of quarters and dimes. The number of dimes is 8 more
than the number of quarters. How many of each coin are there?
Answer:
17 quarters 25 dimes
Step-by-step explanation:
quarters 25 cents
dimes 10 cents
$6.75 total.
solve for x: -1< x+3 <5
Answer:
Im not sure but i belive the answer is −4<x<2
 Simplify −4(p – 5) + 9(3p) – 11.
23p + 9
−4p – 5 + 12p – 11
−4p – 20 + 12p – 11
−4p – 20 + 27p – 11
Answer:
30
Step-by-step explanation:
you have to look at carefully
What type of angle is angle R?
S.
R
A. acute
B. right
C. straight
D. obtuse
Answer:
D. Obtuse
Step-by-step explanation:
Answer:
Obtuse
Step-by-step explanation:
An obtuse angle is anything that is greater than 90 degrees but less than 180. If it was 180 the angle would be flat but if it was 90 it would be right. Because this is in the middle it is obtuse.
g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load
I need help ASAP I need this done or I have have a bad grade pls help
From looking at the ruler, the length of the segment is 6 cm.
I think the scale is 6 cm, and in inches that would be about 2 in, (2.3622) to be exact. For the sake of this problem I would just say 2 inches.
how do you do this ?
Answer: 3(x^2 + 4)/(x - 5)(x + 4)
Step-by-step explanation:
To simplify, begin with 3x^2 + 12 by dividing by 3 first: 3(x^2 + 4)
x^2 - x - 20 can be simplified into (x - 5) (x + 4). To find these terms, you have to figure out what two numbers multiply together to equal -20 but also add to -1.
A particle travels in a straight line from A to B in 20s. Its acceleration t seconds after leaving A is ms^(-2), where a=(3)/(160)t^(2)-(1)/(800)t^(3). It is given that the particle comes to rest at B.
(i) Show that the initial speed of the particle is zero.
(ii) Find the maximum speed of the particle.
(iii) Find the distance AB
Answer:
initial speed is final speed: 0maximum speed is about 5.273 m/sdistance A to B is 50 metersStep-by-step explanation:
You have a particle whose acceleration is a(t) = 3t²/160 -t³/800 and whose velocity at t=20 is 0. You want to show the initial speed is 0, find the maximum speed, and the distance traveled in 20 seconds.
(i) Initial speedThe speed is the sum of the initial speed and that due to acceleration. The speed due to acceleration is the integral of acceleration:
\(\displaystyle s(20)=s_0+\int_0^{20}{\dfrac{1}{800}(15t^2-t^3)\,dt}}=s_0+\left(\dfrac{t^3}{3200}(20-t)\right)_0^{20}=s_0=0\)
The change in speed over 20 seconds is zero, so the final speed is the initial speed. The final speed is zero, so the initial speed is 0.
(ii) Maximum speedThe maximum speed is where the acceleration is zero.
a(t) = 0 = (t²/800)(15 -t)
The acceleration is zero at t=0 and at t=15.
From the above integral, the maximum speed is ...
s(15) = 15³(20 -15)/3200 = 5.2734375 m/s ≈ 5.27 m/s
(iii) DistanceThe distance traveled is the integral of the speed.
\(\displaystyle d=\dfrac{1}{3200}\int_0^{20}{(20t^3-t^4)}\,dt=\left.\dfrac{t^4(25-t)}{16000}\right|_0^{20}}=50\)
The particle traveled 50 meters from A to B.
Which figure has the same perimeter as the one given?
Answer:
C
Step-by-step explanation:
You know all you had to do was count........
A fox, who has a start of 60 leaps, is chased by a dog, the. fox can make 3 leaps to the dogs 2. However, the dog travels in only 3 leaps as far as the fox goes in 7. How many leaps must each make before the fox is caught by the dog.
Both the fox and the dog need to make 28 leaps before the fox is caught.
Given that,
The fox has a start of 60 leaps.
The fox can make 3 leaps to the dogs 2.
This means that for every 3 leaps taken by the fox, the dog will take 2.
The dog travels in only 3 leaps as far as the fox goes in 7.
This means that for every 3 leaps the dog takes, the fox takes 7 leaps.
Now, we have to find out how many leaps the fox and the dog need to make before the fox is caught.
Assume that the fox and the dog both sprint for "x" number of jumps before the fox is apprehended.
For the fox,
The total distance travelled would be ⇒ 60 + 3x
(since the fox can make 3 leaps for every 2 leaps of the dog, and the fox starts with a 60-leap advantage).
For the dog,
The total distance travelled would be ⇒ 2x
(since the dog can make 2 leaps for every 3 leaps of the fox).
Now we know that the dog travels in only 3 leaps as far as the fox goes in 7,
Therefore,
3 leaps of the dog = 7 leaps of the fox
This can be expressed as:
2x = (60 + 3x)( 7/3 )
Simplifying this equation, we get:
2x = 140 + 7x
5x = 140
x = 28
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HELLPPPPPPPPPPPPPPppppppppppp
Answer:
find the percentage equal to 70/80
Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person
Answer:
1.14285714286 ounces per person
Step-by-step explaination:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
following this rule, 8 divided by 7 is 1.14285714286
Your assignment will probably ask you to simplify
Sally starts a lemonade stand. She has a startup cost of $20 dollars and
each glass of lemonade she sells costs her $1.25 to make. She charges
$2.50 for a glass of lemonade. How many glasses of lemonade does she
need to sell for her total costs to be exactly equal to her revenue (the
money she makes from selling lemonade).
Answer:
Sally will need to sell 8 glasses of lemonade
Step-by-step explanation:
Very Simple, you just need to do 20 divided by 2.50 and there is your answer
Hope this helps :)
K
Add the fractions. Simplify if possible.
2
9x
+
10
9x
The sum of the given fractions is (2x + 10)/x.
What is fraction ?
A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written in the form of a numerator and a denominator separated by a horizontal line. The numerator represents the number of equal parts under consideration, while the denominator represents the total number of equal parts that make up the whole. For example, the fraction 3/4 represents three equal parts out of a total of four equal parts. Fractions can be added, subtracted, multiplied, and divided to perform various mathematical operations.
According to the question:
The given fractions can be added if they have a common denominator. In this case, the common denominator is 9x.
So, we need to write the fractions with 9x as the denominator:
2/1 * (9x/9x) = 18x/9x
10/1 * (9/9x) = 90/9x
Now, we can add these two fractions:
18x/9x + 90/9x = (18x + 90)/9x = 9(2x + 10)/9x = 2x + 10/ x
Therefore, the sum of the given fractions is (2x + 10)/x.
Q: Find K by Adding the fractions and simplify if possible k=(2*(9x))+(10*(9x))
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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes
Answer:
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
This means that \(\sigma = \sqrt{2916} = 54, \mu = 518\)
Sample of 81 batteries
This means that \(n = 81, s = \frac{54}{\sqrt{81}} = 6\)
What is the probability that the mean battery life would be greater than 526.4 minutes?
1 subtracted by the p-value of Z when X = 526.4. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{526.4 - 518}{6}\)
\(Z = 1.4\)
\(Z = 1.4\) has a p-value of 0.9192
1 - 0.9192 = 0.0808
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.
Answer:
y= 5.99(g) + 6.49(u)
Step-by-step explanation:
1) First you determine the variable in the equation $5.99, $6.49, g, and u.
2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.
3) Since you are finding the total you insert a plus sign.
The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u
Cost of gold baseball trophies = $5.99
Cost of uniform baseball trophies = $6.49
Number of gold baseball trophies ordered = g
Number of uniform baseball trophies ordered = u
Therefore, the total cost will be:
= (5.99 × g) + (6.49 × u)
C = 5.99g + 6.49u
Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u
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help me solve this one
that is a littel hard mabye try asking a parent
I need help with this rational expression
Answer:
Step-by-step explanation:
\(\frac{x}{y} 6x+58\\(x+3)(x+8)\\\)
A sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 k. The ballon begins to shrink and shrivel up. Use gas particle motion to explain why.
This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.
What is temperature?Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.
Here,
When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.
According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.
Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.
In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.
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please help me out and i’ll mark you as brainlest
Answer:
E
Step-by-step explanation:
AB=7
sin∠C/7=sin90/\(\sqrt{74}\)
∠C=54.462
9514 1404 393
Answer:
E. 54.462
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:
Cos = Adjacent/Hypotenuse
cos(C) = CB/CA = 5/√74
Then the angle is found using the inverse function:
C = arccos(5/√74) ≈ arccos(0.581238)
C ≈ 54.462°
The measure in degrees of angle C is about 54.462.
what is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid?
Answer:
\(5\sqrt{2}\)
Step-by-step explanation:
The distance between two points on a Cartesian coordinate grid is \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\) where \(d\) is the distance between \((x_1,y_1)\rightarrow(-3,-4)\) and \((x_2,y_2)\rightarrow(-8,1)\):
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-8-(-3))^2+(1-(-4))^2}\\\\d=\sqrt{(-8+3)^2+(1+4)^2}\\\\d=\sqrt{(-5)^2+5^2}\\\\d=\sqrt{25+25}\\\\d=\sqrt{50}\\\\d=5\sqrt{2}\)
Therefore, the distance between the two points is \(5\sqrt{2}\) units.
jasmine is 23 years old. jasmine is 3 years less than half of George's age. Write and solve an equation to fine George's age
Please awnser asap I will brainlist
Answer:
True
Step-by-step explanation:
The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.
You work at a hardware store earning $8.50 per hour. You work no more than 40 hours each week. Your friend says that the function y = 8.5x represents the amount of money you earn each week where the domain of x > 40 represents the number of possible hours you work. Is your friend correct? Explain.
The friend is not correct and the domain of x should be restricted to x ≤ 40, and the function should be y = 8.5x, where 0 ≤ x ≤ 40.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The function y = 8.5x represents the amount of money you earn in a week where x is the number of hours you work.
However, the domain of x should be x ≤ 40, since you work no more than 40 hours each week.
The function should be:
y = 8.5x, where 0 ≤ x ≤ 40
The function y = 8.5x means that for each hour you work, you earn $8.50. If you work x hours, you will earn 8.5x dollars.
Hence, the friend is not correct and the domain of x should be restricted to x ≤ 40, and the function should be y = 8.5x, where 0 ≤ x ≤ 40.
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what is 1235X76678 what is it
Answer:
94697330
Ur welcome
Step-by-step explanation:
Answer:
94,697,330
Explanation:
\(1235 x 76678 = 94697330\)
In the early stages of building the Hoover Dam diversion tunnels were built to divert the flow of water away from the main construction site. Each diversion tunnel was cylindrical with a radius of 56 feet and a length of 4,000 feet. Find the volume and surface area of a diversion tunnel.
Answer:
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.
Step-by-step explanation:
To find the volume and surface area of a diversion tunnel, we can use the formulas for the volume and lateral surface area of a cylinder.
The volume of a cylinder is given by the formula:
V = πr^2h
Where:
V is the volume,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
V = π(56^2)(4,000)
V ≈ 3.14159 * 56^2 * 4,000
Calculating the volume:
V ≈ 9,839,916,800 cubic feet
The surface area of the lateral (curved) part of a cylinder is given by the formula:
A = 2πrh
Where:
A is the surface area,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
A = 2π(56)(4,000)
A ≈ 2 * 3.14159 * 56 * 4,000
Calculating the surface area:
A ≈ 1,000,530.9 square feet
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.