The radical expressions 2√ and 12−−√ can be combined to become one radical expression through addition or subtraction. True True False
Answers
The given statement "The radical expressions √2 and √12 can be combined to become one radical expression through addition or subtraction. " is true because a single radical expression that represents the two original expressions.
When we simplify a radical expression, we try to write it in its simplest form. For example, we know that √4 is equal to 2 because 2 multiplied by itself gives us 4. Similarly, we know that √9 is equal to 3 because 3 multiplied by itself gives us 9.
We can simplify radical expressions further by combining them using addition or subtraction. For example, √4 + √9 is equal to √13 because we can add 2 and 3 to get 5 and take the square root of 5 to get √5.
Now, let's look at √2 and √12. We can simplify √12 to √(4 × 3) because 4 is a perfect square. This gives us √4 × √3, which simplifies to 2√3.
Therefore, we can write √2 + √12 as √2 + 2√3. This is one radical expression that combines the two original expressions using addition. We can also subtract √12 from √2 to get √2 - 2√3, which is another radical expression that combines the two original expressions using subtraction.
To know more about radical expression here
https://brainly.com/question/3796764
#SPJ4
Related Questions
which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?abcor d
Answers
Looking at the sequence 2, 4, 6, 8, 10, ..., we can see that the first element is 2 and each subsequent element is 2 units more than the previous element.
Knowing that, we can write the equations:
\(\begin{gathered} a_1=2 \\ a_n=a_{n-1}+2 \end{gathered}\)Therefore the correct option is A.
guys help me plz i don't know this please help me
Answers
Answer: The least value goes with the greatest value
Step-by-step explanation:
Solve the system by elimination. Check your solution x+2y=7 / 13-5y=x
Answers
Answer:
x = 3
y = 2
Step-by-step explanation:
x + 2y = 7 and
13 - 5y = x
transfer x to the left side and 13 to the right side of the equation for the second equation:
-x - 5y = -13 now find the sum of both equations:
x + 2y - x - 5y = 7 - 13 add/subtract like terms
-3y = -6 divide both sides by -3
y = 2
To find the value of x replace y with 2:
x + 2*2 = 7
x + 4 = 7 subtract 4 from both sides
x = 3
5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answers
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
let x equal the number of alpha particle emissions of carbon-14 that are counted by a geiger counter each second. assume that the distribution of x is poisson with mean 16. let w equal the time in seconds before the second count is made.
Answers
The given problem states that x denotes the number of alpha particle emissions of carbon-14 that are counted by a geiger counter each second. Assume that the distribution of x is Poisson with mean 16. Let w equal the time in seconds before the second count is made.
Poisson distribution is used when there is a known average of occurrence of an event, and the variable of interest is the number of times the event occurs during a specific interval. The Poisson distribution has the following properties: It is discrete, its distribution is right-skewed, its mean and variance are equal, and it has a single parameter, λ, which is equal to both its mean and variance.
Since the distribution of x is Poisson with mean 16, the probability mass function is given by: P(x) = e^{-16} * 16^{x} / x!The variable of interest is w, which denotes the time in seconds before the second count is made. The question asks us to find the probability that the count takes more than 3 seconds. Let Y denote the number of alpha particle emissions of carbon-14 counted by the geiger counter in w seconds.
To know more about emissions visit:
https://brainly.com/question/33156294
#SPJ11
Pyramid a has a lateral edge of 10 and a height of 8. Pyramid B has a lateral edges of length 15 and height 12. Both A and B are regular square pyramids. What is the ratio of the volumes of the pyramids?
Answers
Answer:
Pyramid A is 10*10*8/3 which is 800/3 and Pyramid B is 15*15*12/3 which is 2700/3, so the ratio would simply be 8:27 uwu
Step-by-step explanation:
what is the value of the mean of a standard normal distribution? what is the value of the standard deviation of a standard normal distribution?
Answers
The mean of a standard normal distribution is zero (0). The standard deviation of a standard normal distribution is one (1).
A standard normal distribution is a special case of the normal distribution with a mean of zero and a standard deviation of one. It is a commonly used probability distribution in statistics, and its properties make it easy to standardize and compare different normal distributions. The value of the mean of a standard normal distribution is zero.
The standard normal distribution is important in hypothesis testing, confidence intervals, and calculating Z-scores. The value of standard deviation of a standard normal distribution is one.
To know more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answers
Answer: 5
Step-by-step explanation: with these problems you're supposed to add all the numbers and then you divide it by the number you're asking to find the probability of so 10/2=5
The probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.
How to get probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices.
The total number of slices is 10 and the total number of favorable outcome to get a red slice is 2. Thus, the probability that the dial stops on a red slice is,
\(P=\dfrac{2}{10}\\P=\dfrac{1}{5}\)
Thus, the probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.
Learn more about the probability here;
https://brainly.com/question/24756209
#SPJ2
What is the y intercept and slope??
Answers
Answer:
y = .5x+30
Step-by-step explanation:
\(m= \frac{y2-y1}{x2-x1}\)
hope this helps, good luck :)
how long the chord of the circle 4x²+4y²-8x-8y+3=0 whose the end point where the curve y=1/x cut the circle?
Answers
The length of the chord is 6
What is a circle simple definition?Simply said, a circle is a rounded form without any edges or line segments. It has the geometric form
What is the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The center of the circle in this general form of the equation of a circle is (-g, -f), and its radius is given by r = g2+f2cg2+f2c.
What is C in the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The coordinates of the circle's center and radius are determined using this general form. The equation in this case represents a circle that does not pass through the origin because c is a constant term.
We possess
4x2+4y2−12x+32y=27…(1)
We shall have y=0 when the specified circle intersects the x-axis, therefore
4x2+4y2−12x+32y=27
=>4x2−12x=27
=>4x2−12x−27=0…(2)
The answers to (2) are:
x1=−3/2
x2=9/2
Thus, the supplied circle intersects the x-axis at the following points:
A(−3/2,0) and B(9/2,0)
The length of the chord we want is defined as the distance d between these sites. The well-known formula for calculating the distance between points A and B is used to calculate the distance d:
d=root((9/2−(−3/2))^2+(0−0)^2)
√=6^2
=6
To know more about circles click the following link:-
https://brainly.com/question/24375372
#SPJ1
Find EF. Please help!
Answers
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
Consider the Fourier series for the periodic function:
x(t)=sin(4t) + cos(8t)+7+ cos(16t)
The fundamental frequency of the first harmonic wo is:
Select one:
a. 8
b. 2
c. 4
d. 1
Answers
The fundamental frequency wo is given by: wo = 2π/T = 2π/(π/2) = 4
So the answer is (c) 4.
The fundamental frequency (wo) of a periodic function is defined as the reciprocal of the period T, where T is the smallest positive value for which the function repeats itself. In this case, we can see that the given function x(t) has a period of 2π/4 = π/2, since sin(4t) and cos(16t) have periods of 2π/4 = π/2 and cos(8t) has a period of 2π/8 = π/4, and so the combined period of all terms is the least common multiple of π/2 and π/4, which is π/2.
Therefore, the fundamental frequency wo is given by:
wo = 2π/T = 2π/(π/2) = 4
So the answer is (c) 4.
Learn more about frequency from
https://brainly.com/question/28821602
#SPJ11
In 1972, about 22 crushed beverage cans weighed one pound. In 2002, beverage cans were lighter and about 34 crushed beverage cans weighed one pound. Every minute of every day, an average of 113,204 beverage cans are recycled. A: About how many pounds of beverage cans are recycled in an hour?
B: About how many tons of beverage cans are recycled in an average day?
C: About how many kilograms of beverage cans are recycled in a day?
Answers
A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds
B) The number of tons that the beverage cans are recycled in an average day is 2397 ton
C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg
What is a pound?The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.
In 2002 about 34 beverages can weigh one pound.
In one minute 113204 beverage cans are recycled.
In one hour, 60 minutes number of beverage cans recycled=113204×60
=6792240
34 beverage cans weight 1 pound
1 beverage cans weight=1/34 pounds
A) 6792240 beverage can weigh=1
=(1/34)(6792240) pound
=119771.765 pound
≈119772 pound
B) So, In 24 hours, no. of pounds recycled
=119772×24 pound
=119772×24×0.0005 ton
=2397.26 ton
≅2397 ton in one day.
C) So, In 24 hours, no. of tons recycled
=2397×24 ton
=2397×24×1000 kg
=57528000 kg
To know more about pound, visit:
https://brainly.com/question/11358032
#SPJ9
express the vector with initial point (1,-1) and terminal point (4,2) as a linear combination of the standard unit vectors.
a. 3i + 3j
b. 5i + j
c. 3i - 3j
d. -3i + 3j
e. 3i + 4j
f. none of these
Answers
The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .
In the question ,
it is given that ,
the initial point of the vector = (1 , -1)
the terminal point of the vector = (4,2)
we know that the vector with initial point (x₁ , y₁) and (x₂ , y₂) is calculated using the formula
V = (x₂ - x₁)i + (y₂ - y₁)j
Substituting the values from the point ,
we get the vector as
V = (4 - 1)i + (2 -(-1))j
V = 3i + (2 + 1)j
V = 3i + 3j
Therefore , The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .
Learn more about Vectors here
https://brainly.com/question/11719219
#SPJ4
What type of angle is this?
Answers
Answer:
corresponding angles
Step-by-step explanation:
Consider a sample space with 7 elements. Let A be an event with 5 elements and B be an event with 4 elements. Let's assume that there are 2 repeated elements between both events.P(A y B) =A) 4/7B) 2/7C) 5/7D) 9
Answers
Option D (9) is not a probability and is not a possible answer choice for a probability question.
To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.
Therefore, P(A ∩ B) = 5/7.
Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.
Know more about probability here:
https://brainly.com/question/30034780
#SPJ11
the sum of the reciprocals of two consecutive integers is -11/30
Answers
HELP pls will mark you the brainliest
Answers
The function that best models the number of game systems sold is
y = 30.5(0.7)ˣ
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Consider the equation :
y = 30.5(0.7)ˣ
Plug in x=0,
y= 30.5(0.7)⁰ = 30.5 *1 = 30.5
The point is (0,30.5)
Similarly, when we plug in x=1 and x=2, we get y=21.35 and y=14.95 respectively
The other 2 points in (x, y) form are (1,21.35) and (2, 14.95)
These points are matching with the points on the graph
So, the function that best models the number of game systems sold is
y = 30.5(0.7)ˣ
To learn more about the solution of an equation from the given link
https://brainly.com/question/22688504
#SPJ1
(3.6x10^8) divided by (9x10^3)
Answers
Answer:
Step-by-step explanation:
The answer is 40000
What is 2 9/10 as a decimal
Answers
Answer:
2.9 or 2.90
Step-by-step explanation:
The fraction is 10 so it's pretty easy as decimals run through tens
(b) Given the matrix D = k 0 0 3 k² k³ 0 kª k³ kº k k k 0 0 0 k¹⁰ Find all possible value(s) of k if det(D) = 1024."
Answers
To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.
Given matrix D:
D = | k 0 0 |
| 3 k² k³ |
| 0 kª k³ kº |
| k k k |
| 0 0 0 |
| k¹⁰ |
The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
- 0(det | 3 k² k³ |
| 0 kª k³ |
| k k k |)
+ 0(det | 3 k² k³ |
| k k k |
| k k k |)
Simplifying further, we have:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
Now, we can calculate the determinant of the 3x3 submatrix:
det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |
This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:
det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº
Now, we can set det(D) equal to 1024 and solve for k:
k⁴+kº = 1024
Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.
Learn more about matrix here
https://brainly.com/question/2456804
#SPJ11
What is the base of the expression 1113?
3
11
12
21
Answers
Answer:
7
Step-by-step explanation:
I just guessed 7 and believe me its right
Line K has the equation y=5x-4.
Line L is parallel to line K, but passes through the point (-2,-7).
The equation for L in slope-intercept form is: ______
Answers
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.
Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.
y = mx+b
-7 = 5(-2) + b
-7 = -10+b
-7+10 = b
3 = b
b = 3
The y = mx+b updates to the final answer of y = 5x+3
Divide ( 4x2 - 24x + 35 ) / ( 2x - 5 )
Answers
Answer:
the closest i got is \(\frac{43-24x}{2x-5}\)
Step-by-step explanation:
each child in a sample of low-income children was administered a language and communication exam. the sentence complexity scores had a mean of and a standard deviation of .
Answers
For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64
Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.
Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64
So, an estimate of the true mean is sample mean=\(\bar x\)=7.64
Learn more about estimates, here:
https://brainly.com/question/32100356
#SPJ4
The complete question is given below:
Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.
Boris's cat will be having four kittens. Boris performs a
simulation by tossing a coin to model whether these
kittens will be male or female.
• Let heads (H) = female kitten
• Let tails (T) = male kitten
The results of the simulation are:
1. THTT
6. THHT
2. THHT
7. HTHH
3. HHHH 8. TTTT
4. HTTT
9. TTHT
5. TTHH
10. HTHT
What is the estimated probability that at least three of the kittens will be
male?
60%
A.
B.
40%
10
C.
8
10
80%
D. io = 20%
Answers
Answer:
40% or 4/10
Step-by-step explanation:
Answer:
its 40%
Step-by-step explanation:
A.P.E.X.
What is the volume of a cone with a diameter of 30 ft and a height of 60 ft? Use 3.14 for π
Answers
Answer:
14130 cubic feet
Step-by-step explanation:
Key skills needed: Volume of a cone, Multiplication, Pi operations
1) To solve this problem, one needs to know how to get the volume of a cone.
This is ---> \(\frac{1}{3}r^2h\)π -----> r is the radius, and h is the height
2) In the problem, we are given the diameter, which is 30 ft. The radius would be half of the diameter. 30/2 = 15.----> The radius is 15 ft.
3) The height is given as well, and we use 3.14 for pi (π).
4) Let's solve for the volume: \(\frac{1}{3}(15)^{2}(60)(3.14)\) The 60 and 1/3 multiplied together is 20 and 15^2 is 225. T
This means ---> 20(225)(3.14) ---> 20 times 225 is 4500
4500 times 3.14 is 14,130. Volume here is measured in cubic feet, so your answer would be 14,130 cubic feet.
Hope you understood and have a nice day!! :D
the line integral of b around the loop is μ0 ∙ 7.0 a. current i3 is
Answers
The line integral of the magnetic field (B) around a loop is given by Ampere's Law, which states that the integral of B around a closed loop is equal to the product of the permeability of free space (μ0) and the total current enclosed by the loop (I_enclosed).
In this case, the line integral of B is given as μ0 * 7.0 A, where A represents amperes. To find the current i3, we first need to determine the total enclosed current (I_enclosed). If there are other currents in the loop, we need to consider their contribution as well.
Suppose we have i1, i2, and i3 as the currents in the loop. The total enclosed current will be I_enclosed = i1 + i2 + i3. We can then rewrite Ampere's Law as:
μ0 * 7.0 A = μ0 * (i1 + i2 + i3)
To find the value of i3, we need to know the values of i1 and i2. Once these values are known, we can rearrange the equation to isolate i3:
i3 = (μ0 * 7.0 A - μ0 * (i1 + i2)) / μ0
After plugging in the values for i1 and i2 and calculating, we will find the value of i3.
To know more about permeability visit:
https://brainly.com/question/32006333
#SPJ11
Which circuit is a series circuit? A. B. C. D.
Answers
Answer:
Since you did not provide any other information, I did some research and might have found the original question/ answer choices. If this is the correct question, then your answer should be D.)
Answer : The correct series circuit is, (D)
Explanation :
Parallel circuit : In this circuit, the potential across each of the components are same but the current flow in the circuit is equal to the sum of the current flow of each components.
That means in this circuit, the potential across the circuit is same but current is different.
where, 'I' is current.
Series circuit : In this circuit, the current flow each of the components are same but the potential across the circuit is equal to the sum of the potential of each components.
That means in this circuit, the current flow across the circuit is same but potential is different.
where, 'V' is potential.
From the given circuits, the circuit D is the series circuit. while the other circuits are parallel circuits.
Hence, the given circuit (D) is a type of series circuit.
MARK ME BRAINLIST
What is the value of 9 in 968.21?
Answers
Answer:
900
Step-by-step explanation:
If you spell it out it's nine-hundred sixty-eight and twenty one hundredths!
Hope this helps! Please mark brainiest!