The simplification of the given expression is x² - x + 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is √x⁴ = x - 3. The expression will be simplified as,
√x⁴ = x - 3
Solve the radical term first and simplify the expression further,
x² = x - 3
x² - x + 3 = 0
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Here are some of the lowest tempatures recorded in the last 2 centuries for some US cities. Tempatures are in degrees Farhrenheit. Which of these states has the lowest record tempature?
-Death valley, CA -45 in January of 1937
-Danbury,CT was -37 in Febuary of 1943
-Monticello, FL was -2 in Febuary of 1899
- East saint Louis,IL was -36 in January of 1999
- Greenvillie, GA was -17 in january of 1940
Answer:
wouldn't it be A?
Step-by-step explanation:
Suppose that x is normally distributed with mean 80 and standard deviation 25. What is the probability that x is greater than 77. 5?
The probability that x is greater than 77. 5 is 0.039828
Given,
Mean, μ = 80
Standard deviation, σ = 25
We have to find z score corresponding to 77.5
z = (x-μ) / σ
\(=\frac{77.5-80}{25} \\= 0.1\)
Now we have to find P value from Z table:
P(x<77.5) = 0.46017
P(x>77.5) = 1 - P(x<77.5) = 0.53983
P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828
The probability of x greater than 77.5 is 0.039828
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Help please! Will give brainiest!!!!!!!
Write an equation in slope-intercept form of the line that passes through the given points.
Answer:
y = -1/2x+1
Step-by-step explanation:
Find the value of tan M rounded to the nearest hundredth, if necessary.
Answer:
36.9
Step-by-step explanation:
Use the formula \(a^2 + b^2 = c^2\) to find the length of LK.
40 is the hypothenuse because it is directly across from the right angle.
\(a^2 + 24^2 = 40^2\)
\(a^2\) = 32
Tan is opposite over hypothenuse.
Tan M = 36.9
Need help ASAP! Please show the work, tysm if you help you're a life saver.
Answer:
Working is attached below with answers.
The objective is graph the inequalities in the coordinate plane. *10 POINTS*
thsgs the best i can help but I think the line would be dashed not sure
Anne goes out to buy lunch every Friday. On average she spends around $18 each time. How much money can she save in one year if she stops going out for lunch each week?
You hear on the news that over the next 5 years the inflation rate will skyrocket to 12% if today a new blu-ray movie costs $19.99 assuming continuous compounding how much will the same disk cost in 5 years?
The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.
To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = Future value
P = Present value
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time period in years
In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:
A = 19.99 * e^(0.12 * 5)
Calculating the exponent first:
0.12 * 5 = 0.6
Then:
e^0.6 ≈ 1.82212
Finally:
A = 19.99 * 1.82212 ≈ 36.42
Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.
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A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. How many blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4?.
In order to increase the likelihood that a blue marble would be drawn at random to 3/4, we must thus add 32 more blue marbles.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
Here,
Let the number of blue marbles added be x,
Probability=3/4
Total marbles=20
Number of blue marbles=7
(7+x)/(20+x)=3/4
4(7+x)=3(20+x)
28+4x=60+3x
x=60-28
x=32
So, we need to add 32 more blue marbles to make the probability of randomly drawing a blue marble be 3/4.
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Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?
Answer:
this also I do not know plz tell answer is will also practice
HELP ASAP
1. 70% of 720 is
2. 15% of 220 is
3. 65% of 200 is
Answer:
1)504
2) 33
3) 130
Step-by-step explanation:
Answer:
1) 70% of 720
70/100 × 720
70/10 × 72
7 × 72
504
2) 15% of 220
15/100 × 220
15/10 × 22
3/2 × 22
3 × 11
33
3) 65 % of 200
65/100 × 200
65 × 2
130
what’s the answer????????
The accompanying table shows the value of a car over time that was purchased for
18200 dollars, where x is years and y is the value of the car in dollars. Write an
exponential regression equation for this set of data, rounding all coefficients to the
nearest thousandth. Using this equation, determine the value of the car, to the
nearest cent, after 9 years.
Years (x) Value in Dollars (y)
0
18200
1
15728
2
13065
3
10845
9825
8450
Copy Values for Calculator
Open Statistics Calculator
Submit Anawer
45
5
Regression Equation:
Final Answer:
The value of the car to the nearest cent, after 9 years is; 4891 cents
How to solve exponential regression equations?
The exponential regression equation will be given as;
y = A₀e^(kx)
Where;
A₀ is the coefficient of exponential regression.
k is the constant.
For x = 0, the value of y will be $ 14100. Then we have;
18200 = A₀e^(k * 0)
Thus; A₀ = 18200
Thus, the exponential regression equation is;
y = 18200e^(kx)
For x = 1, the value of y will be $15728. Then we have;
15728 = 18200e^(k * 1)
Thus; k = -0.146
The equation is now;
y = 18200e^(-0.146x)
Then after 9 years, the value of a car will be
y(9) = 18200e^(-0.146 * 9)
y(9) = 4891
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Solve the equation. Check your
solution.
vb - 4= 3
b = [?]
-
Find the potential between two points p(1,−1,0) and q(2,1,3) with E=40xyi+20x
2
j+2k a) 104 b) 105 c) 106 d) 107
The potential between points P and Q are 105 units.
To find the potential between two points, we need to integrate the electric field along the path connecting the points. The electric field is given by E = 40xyi + 20x^2j + 2k.
Let's denote the position vector of point P as r_p = xi + yj + zk, and the position vector of point Q as r_q = xi + yj + zk.
The potential difference ΔV between P and Q is given by:
ΔV = ∫ E · dr,
where dr is an infinitesimal displacement along the path connecting P and Q.
In this case, the path is a straight line from P to Q, so we can parametrize it as r = r_p + t(r_q - r_p), where t varies from 0 to 1.
Substituting the electric field E into the integral, we have:
ΔV = ∫ (40xyi + 20x^2j + 2k) · (dx/dt)i + (dy/dt)j + (dz/dt)k,
where dx/dt, dy/dt, and dz/dt are the derivatives of x, y, and z with respect to t.
Simplifying the dot product and integrating term by term, we get:
ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt.
Now, let's calculate the derivatives dx/dt, dy/dt, and dz/dt:
dx/dt = d(xi)/dt = 0, since x does not vary with t.
dy/dt = d(yj)/dt = 0, since y does not vary with t.
dz/dt = d(zk)/dt = 0, since z does not vary with t.
Therefore, the integrals for dy/dt and dz/dt will be zero.
The integral for dx/dt is:
∫ (40xy*dx/dt) dt = 40xy ∫ (dx/dt) dt
= 40xy ∫ 0 dt
= 0.
So, the potential difference ΔV reduces to:
ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt
= ∫ (0 + 0 + 0) dt
= 0.
Hence, the potential difference between points P and Q is zero. Therefore, the answer options provided (a) 104, (b) 105, (c) 106, (d) 107 are all incorrect.
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can someone please teach me how to do percentage
Answer:
value/total value • 100 = percentage
Step-by-step explanation:
if 5 out 100 kids have red backpacks then 5% of kids have red backpacks
5/100 • 100 = percentage
0.05 • 100 = percentage
5% = percentage
if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires
13/41 • 100 = percentage
0.31707317073... • 100 = 31.707317073... %
depending on your precision, you may include as many decimal places as you like, unless the question specifies it. For our example, we will round to 2 decimal places.
31.707317073... % = 31.71%
if you're looking to find percentages for probability, you will use the same equation.
the odds of flipping a coin and it landing on heads are 50%
possibilities:
Heads, Tails
there is one outcome where our result occurs out of the two possible outcomes
1/2 • 100 = percentage
0.5 • 100 = percentage
50% = percentage
Hope this helps and wasn't confusing
Which one of the following is NOT a way to get from ADEF to AD'E'F' where DEF has vertices
D (−4, 3), E (−1, 2), and F (-5, 1), and AD'E'F' has vertices D' (8, 3), E' (11, 2), and F (7, 1)?
From the given information provided, option C is not a way to get from ADEF to AD'E'F' as it will result in a triangle.
To get from ADEF to AD'E'F', we need to perform a series of transformations (translations, rotations, reflections, or combinations of these). The options that are possible ways to get from ADEF to AD'E'F' are:
A. Reflect DEF across the y-axis, then translate 12 units to the right and 1 unit down.
B. Reflect DEF across the x-axis, then translate 12 units to the right and 1 unit up.
C. Rotate DEF 180 degrees counterclockwise about the point (−3, 2), then translate 11 units to the right and 1 unit up.
D. Translate DEF 12 units to the right and 1 unit up.
Option C is NOT a way to get from ADEF to AD'E'F' because rotating DEF 180 degrees counterclockwise about the point (−3, 2) would result in a triangle with vertices D (-5, 1), E (-2, 0), and F (-6, -1). This triangle is not the same as AD'E'F' which has vertices D' (8, 3), E' (11, 2), and F (7, 1).
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Compute the value: 5+ 6+ 7+ 8+9+...+200 52. (4) Consider the sequence (bi) defined as follows: b₁-4, and b=3b4-1 for k>1. Find the term bio.
The calculated value of the tenth term, b₁₀ of the sequence is 78732
How to calculate the tenth term, b₁₀ of the sequenceFrom the question, we have the following parameters that can be used in our computation:
b₁ = -4
bₙ = 3bₙ₋₁
The above means that
We multiply the current term by 4 to get the next term
So, we have
b₂ = 3 * 4 = 12
b₃ = 3 * 12 = 36
b₄ = 3 * 36 = 108
b₅ = 3 * 108 = 324
b₆ = 3 * 324 = 972
b₇ = 3 * 972 = 2916
b₈ = 3 * 2916 = 8748
b₉ = 3 * 8748 = 26244
b₁₀ = 3 * 26244 = 78732
Hence, the tenth term, b₁₀ of the sequence is 78732
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STUDENT: teacher, i need help
TEACHER: shu.t up kid!
STUDENT: im telling
TEACHER: pun.ches student
STUDENTS: bea.ts the teacher up
PRINCIPLE: no school for the rest of the year
Answer:
You beat the teacher up not punched back
Step-by-step explanation:
Answer:
LOL
Step-by-step explanation:
PRINCIPAL: Fires teacher
STUDENT: Gets rewarded for beating teacher up
PLEASE HElP ASAP 10 PTS, BRAINLEST ANSWER
Indicate the equation of the given line in standard form. Show all of your work for full credit.The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answer:
is there more in the question
what is the mathematical average of the number of feet in a yard, seconds in a minutes and months in a year? enter a numerical value only.
The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.
How to calculate the arithmetic average for the given scenario?In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:
Arithmetic average = [∑(x)]/n
Generally speaking, we have the following standard parameters;
There are 3 feet in one (1) yard.There are 60 seconds in one (1) minute.There are 12 months in one (1) year.∑(x) = 3 + 60 + 12
∑(x) = 75
Now, we can determine the arithmetic average as follows;
Arithmetic average = 75/3
Arithmetic average = 25.
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if suzzie reads45 book in 15 days how many books did she read in 1 day
Answer: 3 books
Step-by-step explanation: if she reads three books each day as 15 days pass, she would have read 45 books. 3 x 15 = 45. hope this helps
Answer:
3 books each day
Step-by-step explanation:
45 books
15 days
45÷15 =3
If 5 liters of water cost $15.50, how much would it cost for 7 liters?
Answer:
21.7(0)
Step-by-step explanation:
Divide 15.50 by 5, which gets you to 3.1
Multiply 3.1 by 7, and get 21.7
Hope this helps ^^
Answer:
21.70
Step-by-step explanation:
15.50 devided by 5 then multiplied by 7
20. An adult pass for the county fair costs $2 more than a children's pass. When 378 adult and
214 children passes were sold, the total revenue was $2384. What is the cost of an adult pass?
Suppose X is normally distributed with mean 5 and standard deviation 0.4. We find P(X ≤ Xo) = P(Z ≤ 1.3). What is the value of Xo? 5.52 0.52 -5.25 55.2%
X is normally distributed with mean 5 and standard deviation 0.4. The value of Xo is 5.52.
To find the value of Xo, we need to convert the given probability to a z-score using the standard normal distribution.
The z-score formula is given by:
z = (X - μ) / σ
Where:
X is the observed value
μ is the mean of the distribution
σ is the standard deviation of the distribution
In this case, the mean (μ) is 5 and the standard deviation (σ) is 0.4. We are given that P(X ≤ Xo) is equivalent to P(Z ≤ 1.3), which means we need to find the value of Xo that corresponds to a z-score of 1.3.
To find the value of Xo, we rearrange the formula:
Xo = z * σ + μ
Plugging in the values, we have:
Xo = 1.3 * 0.4 + 5
Xo = 0.52 + 5
Xo = 5.52
Therefore, the value of Xo is 5.52.
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A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.
1.9998
0.9999
0.0001
0.0002
The p-value of the given hypothesis is; 0.9999
How to find the p-value of the statistics?The formula for the z-score of proportions is;
z = (p^ - p)/√(p(1 - p)/n)
where;
p^ is sample proportion
p is population proportion
n is sample size
We are given;
p^ = 15% = 0.15
p = 20% = 0.2
n = 5000
Thus;
z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)
z = -8.8388
From p-value from z-score calculator, we have;
P(Z < -8.8388) = 1 - 0.0001 = 0.9999
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Traditionally, some
require food to be prepared using specific techniques. advertising is a form of
influence on food habits.
Traditionally, some cultures require food to be prepared using specific techniques that have been passed down from generation to generation. For example, in Japanese cuisine, the preparation of sushi requires a specific technique that takes years of training to master.
Similarly, in Indian cuisine, the use of spices and herbs is an integral part of the cooking process, and the proper combination of these ingredients is critical to the taste of the dish.
In today's society, advertising is a form of influence on food habits. Companies spend millions of dollars each year on advertising their products, and these ads can have a significant impact on what people choose to eat. For example, fast food companies often use advertising to promote their products as convenient and affordable options for busy people.
This can lead to people choosing these types of foods over healthier options, which can have negative health consequences in the long run. It's important to be aware of the influence of advertising on our food choices and to make informed decisions about what we eat.
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What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X ?
The probability that Luke will hit the inner ring fewer than 3 times is 0.069.
How to calculate the probability the number of times Luke will hit the inner ring of the target out?To calculate the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X, we need to know the distribution of X.
Assuming that each shot is independent and has the same probability p of hitting the inner ring, X follows a binomial distribution with parameters n=5 and p.
The mean of a binomial distribution is given by μ = np, so in this case, the mean of X is 5p.
To find the probability that X is less than 5p, we can use the cumulative distribution function (CDF) of the binomial distribution. Let F(k) denote the CDF of the binomial distribution with parameters n=5 and p, evaluated at k.
Then the probability that X is less than 5p is:
P(X < 5p) = F(4p)
Note that we use 4p instead of 5p in the argument of F, since we want the probability that X is strictly less than 5p, not less than or equal to 5p.
Using a binomial table or calculator, we can look up or compute the value of F(4p) for a given value of p.
For example, if p=0.6 (which corresponds to Luke hitting the inner ring 60% of the time), we get:
P(X < 5p) = F(2.4) ≈ 0.069
So the probability that Luke will hit the inner ring fewer than 3 times (which is less than 5p=3) out of the 5 attempts is about 0.069, assuming he hits the inner ring with a probability of 0.6 on each shot.
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Find the volume of the sphere:
A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters
Work Shown:
r = 6 = radius
V = volume of a sphere of radius r
V = (4/3)*pi*r^3
V = (4/3)*pi*6^3
V = 904.77868423386
V = 904.8
I used my calculator's stored version of pi (instead of something like pi = 3.14)
The units "cubic meters" can be abbreviated to m^3 or \(m^3\)
The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.
The volume of a sphere can be calculated using the formula:
V = \(4/3 * \pi * r^3\),
Where V is the volume and r is the radius of the sphere.
\(\pi\) = 3.14
The radius of the sphere (r) = 6m
Plugging in the given radius of 6m into the formula, we get:
V = (4/3) * \(\pi\) * (6^3)
V = 1.333 * \(\pi\) * 216
V = 1.333 * 3.14 * 216
V = 4.1866 * 216
V = 904.8 cubic meters
Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8 cubic meters.
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How much does the refrigerator cost?
Answer: $535
Step-by-step explanation
He will be able to buy the refrigerator with the amount he deposited ($500) plus the interest generated from it ($35)(which we get by doing the following):
So the formula for interest is
Interest = (principal ×interest rate × time for which the money was deposited) / 100
Interest = ?
Principal = $500
Interest rate = 7%
Time = 1 year
Now
Interest = (500 × 7 × 1) / 100
Interest = 3500/ 100
Interest = $35
So the refrigerater's cost = 500 + 35
Cost = $ 535