Answers
Answer:
download the app photomath and right your solution
Related Questions
How to find the length of side x in simplest radical form with a rational denominator.
Answers
The length of side x is 3 in simplest radical form with a rational denominator.
To find the length of side x in simplest radical form with a rational denominator, you will need to follow these steps:
Write the equation that relates the length of side x to the other known quantities in the problem.
Remove the radical expression from the equation's other side.
Simplify the radical expression, if possible. This may involve finding the prime factorization of the number inside the radical and applying the rules for simplifying radicals.
If the radical cannot be simplified further, consider whether you can rationalize the denominator. To rationalize the denominator, you will need to multiply the radical expression by a fraction that has the radical in the numerator and the same expression under the radical in the denominator. This will eliminate the radical from the denominator.
Simplify the resulting expression by combining like terms and reducing the fraction, if necessary.
For example, suppose we want to find the length of side x in the following equation:
2x = √27 + 3
To solve for x, we need to isolate the radical expression on one side of the equation. By taking 3 away from both sides, we can accomplish this:
2x - 3 = √27
Then, multiplying both sides by 2 gives us:
x - 3/2 = √27 / 2
The radical expression √27 / 2 cannot be simplified further, but we can rationalize the denominator by multiplying the expression by the fraction (√27 / √27):
x - 3/2 = √27 / 2 * √27 / √27
This gives us:
x - 3/2 = 3√3 / 2
Finally, we can simplify the expression by combining like terms and reducing the fraction:
x = 3√3 / 2 + 3/2
x = 3/2 + 3/2
x = 3
Therefore, the length of side x is 3 in simplest radical form with a rational denominator.
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help answering thjs
Answers
Answer:
2x-0=x+2
2x=x+2
2x-x=2
x=2
4y-8=y+10
4y-y=10+8
3y=18
y=6
AB=2×2+0=4 (DC is 4 too)
AD=4×6-8=24-8=16 (BC is 16 too)
David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make?
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Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
O 15, 18, 20
Answers
Select the correct answer.
Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection?
Use the table of randomly generated outcomes to answer the question. Each letter represents the first letter of the bead color.
Outcomes
PBBB GPBP PBPP GGGG BPBP GBPB GPBP GBPB
PBPP PPGP PBGG GPPB PPPG BPPP PPPG BPGP
GGGG PGPG PPPP PPPP BBBG PPGB BBBG PPGB
PBPB BPPG PBBG BPBB PGPP PBPP PPPP PBPP
PPBP PPBB PGBP BPPB PPPB PPPB PGGB BBBB
A.
0.05
B.
0.10
C.
0.45
D.
0.55
Answers
The estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is 0.45 which is denoted as option C.
What is Probability?
This is referred to as a number that indicates how likely the event is to occur.
Probability for drawing at least 5 beads before she picks a grey bead from her collection
= 1-Probability for drawing at least one grey bead in the first 5 draws.
No of grey beads drawn in first 5 trials = (5, 80/80+160+240)
= (5, 1/6)
Probability for drawing at least one grey bead in the first 5 draws.
=1 - Prob of no grey
Required probability = P(X=0 in first 5 draws) = (1/6)⁵ = 0.4018 and th nearest value is therefore 0.45.
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The least squares estimate of b1 equals (see 37 GD) a. 0.923 b. 1.991 c. -1.991 d. -0.923
Answers
The least squares estimate of b1, as mentioned in GD 37, is -0.923.
The least squares estimate is a statistical method used to find the best-fitting line or curve for a set of data points. In this case, b1 refers to the slope of the line of best fit.
To calculate the least squares estimate of b1, we need more information from GD 37, as the question refers to it. However, based on the given options (0.923, 1.991, -1.991, -0.923), the correct answer is -0.923.
Therefore, the least squares estimate of b1, as per GD 37, is -0.923.
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Write the set of all real numbers except 100 in set-builder notation.
The set-builder notation is {x||
Answers
In set builder notation, if we assume that x is a variable, then the set of all real numbers other than 100 is: where the first x is the variable.
It's the one with the R in the middle, which is the numerical representation. This is a place where only integers and decimals are acceptable.
As conclusion, let's focus on the third, which acts as a limit. We're looking for non-zero real numbers below 100.
This is further explained below.
Write the set of all real numbers except 100 in set-builder notation.?Generally,
In set builder notation, the set of all real numbers other than 100 is represented as follows (it is assumed that the variable to be used is x): The very first x stands for the variable.
The second, which begins with an R, is the representation of the number. In this context, only real numbers will do
.
In conclusion, the third factor is the limitation. We are interested in all actual numbers other than 100.
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Anyone can help with this?
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The value of x of chord = 5
By definition of circle,
The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.
The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.
⇒ 6 (6 + x) = 7 (7 + 11)
Solve for x;
⇒ 36 + 6x = 7 × 18
⇒ 36 + 6x = 126
⇒ 6x = 126 - 36
⇒ 6x = 90
⇒ x = 15
Thus, The value of x = 5
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the probability of contracting a stomach virus while visiting mexico is 23%. find the probability that amongst 12 students visiting mexico 3. exactly five students contract a stomach virus: 4. more than two students contract a stomach virus
Answers
The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.
What is probability?
Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.
Probability that exactly five students contract a stomach virus:
Using the binomial probability formula, we have:
\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)
\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)
P(X = 5) ≈ 0.2173 (rounded to four decimal places)
Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.
Probability that more than two students contract a stomach virus:
We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.
P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)
Using the binomial probability formula for each case:
\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)
P(X = 5) ≈ 0.2173 (calculated previously)
Now, let's calculate each probability and sum them up:
P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)
\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)
P(X > 2) ≈ 0.4866 (rounded to four decimal places)
Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.
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My last question of the day worth 20 points
True or false ?
Isosceles Triangles can be acute or obtuse ?
Answers
Answer:
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees. Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
Step-by-step explanation:
Suppose A is invertible. Explain why ATA is also invertible. Then show that A-1 = (ATA)-1AT.
Answers
A-1 = (ATA)-1AT, and therefore ATA is also invertible.
If A is invertible, it means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. This means that A has an inverse, denoted by A-1.
Now, let's consider the matrix ATA. To show that it is also invertible, we need to find a matrix C such that (ATA)C = C(ATA) = I. We can do this by substituting B = A-1 into the equation and multiplying both sides by A:ATAA-1 = AIA-1 = AA-1 = I
This means that C = A-1 is the inverse of ATA, so (ATA)-1 = A-1. Now, let's substitute this back into the equation to find A-1:A-1 = (ATA)-1AT = A-1ATA-1AT = A-1IT = A-1
Thus, we have shown that A-1 = (ATA)-1AT, and therefore ATA is also invertible.
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Expand and simplify the expressions using properties of operations.
6(7y−8)
Answers
Answer:
42y-48
Step-by-step explanation:
6 x 7
6 x 8
Suppose A, B, and C are sets and A Ø. Prove that Ax CCA x B if and only if CC B.
Answers
The statement is as follows: "For sets A, B, and C, if A is empty, then A cross (C cross B) if and only if C cross B is empty". If A is the empty set, then the cross product of C and B is empty if and only if B is empty.
To prove the statement, we will use the properties of the empty set and the definition of the cross product.
First, assume A is empty. This means that there are no elements in A.
Now, let's consider the cross product A cross (C cross B). By definition, the cross product of two sets A and B is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B. Since A is empty, there are no elements in A to form any ordered pairs. Therefore, A cross (C cross B) will also be empty.
Next, we need to prove that C cross B is empty if and only if B is empty.
Assume C cross B is empty. This means that there are no elements in C cross B, and hence, no ordered pairs can be formed. If C cross B is empty, it implies that C is also empty because if C had any elements, we could form ordered pairs with those elements and elements from B.
Now, if C is empty, then it follows that B must also be empty. If B had any elements, we could form ordered pairs with those elements and elements from the empty set C, contradicting the assumption that C cross B is empty.
Therefore, we have shown that if A is empty, then A cross (C cross B) if and only if C cross B is empty, which can also be written as CC B.
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An item has a listed price of $75. If the sales tax rate is 3%, how much is the sales tax (in dollars)?
Answers
Answer:
Net Price: $ 75.00
+ Sales Tax (3%): $ 2.25
Total Price: $ 77.25
what is 28.5 inches in height?
Answers
sin 2
x+cos 2
x=1,2sinxcosy=sin(x−y)+sin(x+y)
2sinxsiny=cos(x−y)+cos(x+y),2cosxcosy=cos(x−y)−cos(x+y)
∫xsinxdx=sinx−xcosx,∫xcosxdx=xsinx+cosx,∫sin 2
xdx= 2
x
− 4
1
sin2x
∫x 2
cosxdx=(x 2
−2)sinx+2xcosx,∫x 2
sin 2
xdx= 6
x 3
− 8
2x 2
−1
sin2x− 4
x
cos2x
An infinite square well confines a particle of mass m to the region −a/2
(x)= ⎩
⎨
⎧
a
2
cos( a
nπx
)
a
2
sin( a ′
nπx
)
for n=1,3,5,…,
for n=2,4,6,…
Therefore, ψ n
(−x)=(−1) n−1
ψ n
(x), a relationship that holds [with (−1) n−1
replaced by (−1) n
in cases where the ground state is labeled n=0 rather than n=1 ] for any potential satisfying V(−x)=V(x). Throughout the questions below, take advantage of symmetries and other simplifications to minimize the number of integrals that you must perform by brute force. 2. Calculate ⟨p⟩,⟨p 2
⟩, and σ p
in the n th stationary state. Check that the uncertainty principle is obeyed.
Answers
In the nth stationary state of an infinite square well, the expectation value of momentum ⟨p⟩ is zero, the expectation value of \(p^2\) ⟨\(p^2\)⟩ is given by (\(n^2\) * \(\pi ^{2}\) * ħ^2)/(2m*\(a^2\)), and the standard deviation of momentum σp satisfies the uncertainty principle. The particle's wavefunction exhibits symmetry properties that allow simplification of integrals.
In the nth stationary state of the infinite square well potential, the wavefunction can be expressed as ψ\(_n\)(x) = (a/2) * cos((nπx)/a) for odd n and ψ\(_n\)(x) = (a/2) * sin((nπx)/a) for even n. Since the momentum operator p is proportional to the derivative of the wavefunction, ⟨p⟩ can be calculated by integrating ψ\(_n\)^* * (-iħ * dψ\(_n\)/dx) over the interval -a/2 to a/2. However, due to the symmetries of the wavefunction, the integral evaluates to zero, resulting in ⟨p⟩ = 0.
The expectation value of \(p^2\), ⟨\(p^2\)⟩, is obtained by integrating ψ\(_{n^{*} }\) * \(p^2\) * ψ\(_n\) over the same interval. Using the fact that p = -iħ * d/dx, the integral simplifies to (\(n^2\) * \(\pi ^{2}\) * ħ^2)/(2m*\(a^2\)). This expression represents the average square value of momentum in the nth stationary state.
The standard deviation of momentum, σp, is related to the uncertainty principle. The uncertainty principle states that the product of the standard deviations of position (σx) and momentum (σp) must be greater than or equal to (ħ/2). In the infinite square well, σx is a/2, and since ⟨p⟩ = 0, σp is equal to the square root of ⟨\(p^2\)⟩. Therefore, σp = √[(\(n^2\) * \(\pi ^{2}\) * ħ^2)/(2m*\(a^2\))]. As n increases, the uncertainty in momentum decreases, satisfying the uncertainty principle.
The symmetries present in the wavefunction allow simplification of integrals, reducing the number of calculations needed. By taking advantage of these symmetries, we can determine the expectation value of momentum ⟨p⟩, the expectation value of \(p^2\) ⟨\(p^2\)⟩, and the standard deviation of momentum σp for the nth stationary state in the infinite square well potential. These calculations confirm the relationship between position and momentum uncertainties prescribed by the uncertainty principle.
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Write the system and
Brian sold fruit at his stand. Apples cost $0.40 and pears cost $0.50 each. In an afternoon he
sold 52 pieces of fruit and made $24. How many of each did he sell?
Answers
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!
during the worst periods of hyperinflation in a certain country the price of food increased at a rate of 30% per month.if your food bill was $120 in one month during this period,what was it three months later ?
Answers
The rate of inflating is r=30% per month.
The bill of food after three months can be determined as,
\(\begin{gathered} C=120(1+\frac{30}{100})^3 \\ C=263.64 \end{gathered}\)Thus, the bill after three months will be $263.64.
check the pic that i attatched
Answers
Answer:
≈ £ 4584.38
Step-by-step explanation:
Firstly, we need to find the number of litres that Mr. Leonard needs to fill up his tank:
We know that there is already 450 litres in the 1200 litre tank, so he must need 1200 - 450 = 750 litres.
I'm not quite sure what the variable p means, but I'm going to assume that p represents the number of litres and that 81.5 is the price per litre in pounds.
So:
Total price = 81.5p
Total price = 81.5(750)
Total price = £61125
We have to remember though that the question is asking for the discount and not the discounted price, so:
61125 × 7.5%
61125 × 0.075 = 4584.375
≈ £ 4584.38
Mark is 19. His base rate for liability insurance is $512. How much should he pay for his annual liability insurance premium? Use the table
below to help you answer this question.
Answers
The amount that Mark should pay for his annual liability insurance premium given the table is $ 1, 946 .
How much should be paid ?The amount that Mark should pay for his annual liability insurance premium is based on his base rate as a 19 year old .
The formula for the annual liability insurance premium is :
= ( Rating factor of Age - 2) x Base rate
= ( 3. 80) x 512
= $ 1, 946
In conclusion, the annual liability insurance premium to be paid by Mark who is 19, would be $ 1, 946.
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A cook has 14.62 pints of olive oil before the dinner service. There were 8.3 pints of olive oil used during the dinner service.
What amount of olive oil is left after the dinner service, with the correct number of significant digits?
Answers
Answer:
6.32
Step-by-step explanation:
What are all the expressions equivalent to 4(y + 2)
A) 4y+2
B) 4y+8
C) y + y + y + y + 2
D) y+y + y + y + 2 + 2 + 2 + 2*
Answers
Answer:
B) 4y+8
D) y+y + y + y + 2 + 2 + 2 + 2*
Step-by-step explanation:
The expressions equivalent to 4(y + 2) are given below:
B) 4y+8D) y+y + y + y + 2 + 2 + 2 + 2On a certain hot summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that day?
Answers
Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
227 children and 109 adults
Step-by-step explanation:
227*1.5+109*2.5=613
227+109=336
please answer this question
Answers
The value of m<2 = 107
Given:
m<SOX = 160
m<1 = x+14
m<2 = 3x - 10
x + 14 + 3x - 10 = 160
4x + 14 - 10 = 160
4x + 4 = 160
4x = 160 - 4
4x = 156
divide by 4 on both sides
4x/4 = 156/4
x = 39
m<2 = 3*39 - 10
= 117 - 10
= 107
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PLEASE HELPPPP OVERR DUEEE!!!!!
What does it mean when the circle on an inequality graph is open?
A.The number is included
B. The number is not included
C. The number is equal to
D. The number is greater than
Answers
Answer:
B
Step-by-step explanation:
What do you call an alligator in a vest?
Answers
Answer:
An InVESTtigator
Step-by-step explanation:
I've heard this before
Answer:
An Investigator.
5. An airplane flies with a constant speed of 640 km/h. How long will it take to travel adistance of 1920 kilometers?
Answers
To solve this problem we need to apply the average speed formula, which is shown below:
\(\text{speed = }\frac{dis\tan ce}{time}\)We need to find the time, therefore we will arrange the equation in order to isolate the time on the left side as shown below:
\(\begin{gathered} \text{time}\cdot\text{speed = distance} \\ \text{time = }\frac{dis\tan ce}{\text{speed}} \end{gathered}\)Applying the data from the problem:
\(\begin{gathered} \text{time = }\frac{1920}{640} \\ \text{time = 3 h} \end{gathered}\)a school district wants to justify building a new elementary school in the district because it believes that the expected number of students will start to exceed the capacity of the schools in the district. which statistical method would be most appropriate? group of answer choices binomial distribution confidence interval hypothesis test regression analysis
Answers
The answer is that regression analysis is the most appropriate method.
The most appropriate statistical method to justify building a new elementary school in the district would be regression analysis. This method can be used to examine the relationship between the expected number of students and the capacity of the schools in the district.
Regression analysis is a statistical method that helps to determine the relationship between two or more variables. In this case, the expected number of students would be the independent variable, while the capacity of the schools in the district would be the dependent variable. By analyzing the relationship between these variables, the school district can make predictions about how many students will need to be accommodated in the future and whether a new elementary school is necessary.
In contrast, binomial distribution is a statistical method that is used to calculate the probability of a specific number of successes in a set of trials, which would not be suitable for this situation. Confidence intervals and hypothesis tests are statistical methods used to draw conclusions about populations based on sample data, but may not be the most appropriate method for this situation.
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The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answers
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
let r be the region in the first quadrant bounded by the graph of y=2tan(x5), the line y=5−x, and the y-axis. what is the volume of the solid generated when r is revolved about the line y=6
Answers
The volume of the solid is 29.865 cubic units.
We have,
To find the volume of the solid generated by revolving region R around the line y = 6, we can use the method of cylindrical shells.
The volume of the solid can be obtained by integrating the area of each cylindrical shell.
Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line y = 6.
Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line y = 6 to the curve y = 2tan(\(x^5\)).
Since the shell is formed by revolving the strip around y = 6, the radius of the shell is given by r(x) = 6 - 2tan(\(x^5\)).
The height of each cylindrical shell is the difference in x-values between the curve y = 5 - x and the y-axis, which is given by h(x) = x.
The differential volume of each cylindrical shell is given by:
dV = 2π x r(x) x h(x) x dx.
To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is determined by the intersection of the curves y = 2tan(\(x^5\)) and y = 5 - x.
The volume V is given by the integral:
V = ∫[a,b] 2π x (6 - 2tan(\(x^5\))) x dx
Setting the two equations equal to each other, we have:
2tan(\(x^5\)) = 5 -x
Let's use numerical approximation to find the intersection points.
Using a numerical solver, we find that one intersection point is approximately x ≈ 1.051.
Now, we can set up the integral to find the volume of the solid:
V = ∫[a,b] 2π (6 - 2tan(\(x^5\))) x dx
Since we are revolving around the line y = 6, the limits of integration will be from x = 0 to x = 1.051.
V = ∫[0,1.051] 2π (6 - 2tan(\(x^5\))) x dx
The integral does not have an elementary antiderivative, so we cannot find the exact value of the integral.
However, we can still approximate the value using numerical methods or software.
Using numerical approximation methods, the volume is approximately V ≈ 29.865 cubic units.
Thus,
The volume of the solid is 29.865 cubic units.
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