Answers
Answer:
Step-by-step explanation:
Since these are legs of an isosceles right triangle,
\(x=y=\frac{4}{\sqrt{2}}=2\sqrt{2}\)
Related Questions
A pair of trainers cost £60.
In a sale they are reduced by 40%. What is the new price?
Answers
Answer:
36
Step-by-step explanation:
40 % of 60 = 24
60-24=36
Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answers
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4
Answers
Given:
The statement is " a is the fourth root of 16".
To find:
The true statement for the given statement.
Solution:
The given statement is
a is the fourth root of 16.
Mathematically, it can be written as
\(a=\sqrt[4]{16}\)
Taking power 4 on both sides.
\(a^4=(\sqrt[4]{16})^4\)
\(a\times a\times a\times a=16\)
Therefore, the correct option is A.
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
Important Information :
'a' is the fourth root of 16'a' is the fourth root of 16 can be written as
\(a=\sqrt[4]{16}\)
To remove fourth root, we take exponent 4 on both sides
\(a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4\)
Exponent 4 and fourth root will get cancelled
\(a^4=16\\a \cdot a\cdot a \cdot a=16\)
a x a x a x a = 16
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
learn more about the radicals here:
brainly.com/question/1799883
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
The radius of the circle is 24.5 units
Step-by-step explanation:
The formula for the circumference of a circle is \(C=2\pi r\)
Where \(C\) is the circumference and \(r\) is the radius.
Lets solve for \(r\).
Divide both sides of the equation by \(2\pi\).
\(\dfrac{C}{2\pi}=r\)
Now we have an equation to evaluate the radius.
Numerical Evaluation
In this example we are given
\(C=153.86153\\\pi =3.14\)
Substituting our values into our equation for the radius yields
\(r=\dfrac{153.86153}{2*3.14}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=24.5\)
Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
The product of two irrational numbers is always rational.
The product of two irrational numbers can be rational or irrational.
The product of two irrational numbers is always irrational.
The product of two irrational numbers cannot be determined.
Answers
Answer:
Second answer:
"The product of two irrational numbers can be rational or irrational"
Step-by-step explanation:
notice from the first product
\(\sqrt{2} \,* \,\sqrt{2} = \sqrt{4} = 2\)
that the product of two irrational numbers can give us a rational one.
from the other three examples, the answer for the products always contains a square root that cannot be reduced, so they all result in an irrational number.
Then, depending on the type of irrationals used, the product can be either rational or irrational.
I just want the answer for part C, and Please explain.
To practice Problem-Solving Strategy 17.1: Work in Ideal-gas Processes.
A cylinder with initial volume V contains a sample of a gas at pressure p. On one end of the cylinder, a piston is let free to move so that the gas slowly expands in such a way that its pressure is directly proportional to its volume. After the gas reaches the volume 3V and pressure 3p, the piston is pushed in so that the gas is compressed isobarically to its original volume V. The gas is then cooled isochorically until it returns to the original volume and pressure.
Find the work W done on the gas during the entire process.
Part A
Which of the following pV diagrams correctly represents the entire process described in this problem?




SubmitMy AnswersGive Up
Correct
The entire process consists of three intermediate processes that take the gas from its initial state at pressure p and volume V and return it to the same state. As for any multistep processes that have the same initial and final state, the pV diagram is a closed curve. Be sure to clearly identify the direction and type of each step of the process. You may want to mark this information on your own pV diagram.
Solve
Part B
Find the amount of work W done on the gas during the entire process.
Express your answer in terms of some or all of the variables p and V.
W = 2Vp
SubmitHintsMy AnswersGive UpReview Part
Correct
part C
Part C
To assess your calculations done in Part B, identify the net energy transfer taking place in each step of the process.
Sort each intermediate step of the process described in the problem introduction according to whether the net energy transfer is to the environment or to the gas.

I just want the answer for part C,
and Please explain how did you get it.
Thanks in advance
Answers
The total work done on the gas during the entire process is -3nRT ln(3). And the net energy transfer can be sorted in three stages, which can be summarized below:
Stage 1: Net energy transfer to the environment (work done by gas, no heat transfer)
Stage 2: Net energy transfer to the gas (work done on gas, no heat transfer)
Stage 3: Net energy transfer to the environment (heat removed from gas, no work transfer)
The entire process can be classified into three stages,
Isothermal expansion: The gas expands isothermally from volume V to 3V and pressure p to 3p. Since the pressure is directly proportional to the volume, the process can be described by the equation PV = constant. Thus, the final pressure and volume can be related to the initial pressure and volume as follows:
P(3V) = 3pV = 3PV = 3nRT (where n is the number of moles of gas and R is the gas constant)
Therefore, the work done during this stage can be calculated using the formula:
W = - ∫PdV = - ∫(nRT/V)dV = - nRT ln(3)
The net energy transfer in this stage is to the environment, as the gas is doing work on the piston, but there is no heat transfer since the process is isothermal.
Isobaric compression: The gas is compressed isobarically from volume 3V to V. Since the pressure is constant, the work done during this stage can be calculated as:
W = -PΔV = -2nRT ln(3)
The net energy transfer in this stage is to the gas, as work is done on the gas, but there is no heat transfer since the process is isobaric.
Isochoric cooling: The gas is cooled isochorically from volume V to its initial volume V and pressure p. Since the volume is constant, the work done during this stage is zero. The change in internal energy can be calculated using the equation:
ΔU = Q = -nCvΔT
Here, Cv is the molar specific heat at constant volume. Since the process is isochoric, Cv can be considered constant. The temperature change can be calculated using the ideal gas law:
P1V1/T1 = P2V2/T2
Therefore calculating T2 = T1(P2V2)/(P1V1) = 3T1
Thus, the change in internal energy can be calculated as:
ΔU = -nCvΔT = -nCv(2T1)
The net energy transfer in this stage is to the environment, as heat is removed from the gas to cool it down, but there is no work transfer since the process is isochoric.
Therefore, the total work done on the gas during the entire process is:
W_total = W1 + W2 + W3 = -nRT ln(3) - 2nRT ln(3) + 0 = -3nRT ln(3)
And the net energy transfer in each stage can be summarized as:
Stage 1: Net energy transfer to the environment (work done by gas, no heat transfer)
Stage 2: Net energy transfer to the gas (work done on gas, no heat transfer)
Stage 3: Net energy transfer to the environment (heat removed from gas, no work transfer)
Learn more about ideal gas law :
https://brainly.com/question/1409639
#SPJ4
Can yall help me fast please
Answers
The problem given shows an exponential decay with a base of 0.946, the initial value is 131000
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
A) Since the house is losing value, this is an exponential decay.
B) The the house has an initial value of it's worth in 2009 which is $131,000
C) The exponential base for the function will be 0.946
D) The function to model this problem can be expressed as
f(x) = a(1 - r)ˣ
x = time in yearsa = initial valuer = decay ratef(x) = 131000(1 - 0.054)ˣ
f(x) = 131000(0.946)ˣ
E) The final answer to this problem is represented by the function in question D as 131000(0.946)ˣ
Learn more on exponential function here;
https://brainly.com/question/2456547
#SPJ1
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
Answers
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
for such more question on distance
https://brainly.com/question/12356021
#SPJ8
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru is able to estimate their wait time more consistently, and why?
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Answers
The range, which is the distance between the smallest and greatest linear equation values in the data, does not take into account the distribution of the data within that range.
What is a linear equation?In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.
Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.
Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
please help with this as soon as possible
Answers
Answer:
98,000
Step-by-step explanation:
\(5^{4} *7^{5}* 2^{8}/16*125*7^{3}\)
\(=5^{4} * 7^{5}* 2^{8} /2^{4} *5^{3} *7^{3}\)
\(=5^{4-1} *7^{5-3} *2^{8-4}\)
=\(5^{3} *7^{2} *2^{4}\)
=\(125*49*16\)
\(=98000\)
Answer:
Step-by-step explanation:
Factorize all the numbers in numerator and denominator
16 = 2*2*2*2
125 = 5 *5 *5
\(\frac{a^{m}}{a^{n}}=a^{m-n}\), where m >n
\(\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}\)
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answers
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Know more about probability here:
brainly.com/question/25870256
#SPJ4
If Catherine has 3 more quarters than nickels and they have a combined value of 195 cents, how many of each coin does she have?
PLEASE HELP
Answers
Answer:
24 nickels 3 quarters
Step-by-step explanation:
195-25(3) = 120/5 = 24 nickels 3 quarters
what is the nth term in a cube number sequence
Answers
Answer:
cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).Step-by-step explanation:
IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)Alexis pls answer this question you are sooooooooooooo good at math. (Nobody else answer this, only Alexis)
Answers
Answer:
5/8
Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4
Answer:
5/8
Step-by-step explanation:
To divide by a fraction. multiply by the reciprocal of that fraction.
1/2 * 5/4
Multiply the fractions across.
so 1*5=5, then do 2*4= 8
5/8
What measures of spread is an average distance from the mean?
Answers
Answer:
Step-by-step explanation:
The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard deviation gives the average (or typical distance) between a data point and the mean.
10. Anna divided integer A by -3 and got 8. Then she divided 8 by integer B and got -4. Find the quotient of integer A and B. I talling 2020
Answers
Answer:
cant help uu :(
Step-by-step explanation:
How would we know the gcf of 4xy+8x^2y-24x^4y^5
Answers
9514 1404 393
Answer:
4xy
Step-by-step explanation:
List the prime factors of each term.
4xy = 2·2·x·y8x^2y = 2·2·2·x·x·y24x^4y^5 = 2·2·2·3·x·x·x·x·y·y·y·y·yIdentify a factor that appears in each list. Cross it off of each list and add it to your list of "output" factors. Repeat until you run out of factors that appear in all of the lists.
You should quickly determine that all of the factors of 4xy appear in both other lists. That is the GCF. When you have exhausted the factors of 4xy, there are no more possible common factors.
GCF = 4xy
Then the expression can be factored as ...
= 4xy·(1 +2x -6x^3y^4)
_____
Additional comment
If you use exponents to simplify writing repeated multiplication, you will find that the GCF has the factors with the lowest exponent. Here, the lowest power of 2 is 2^2 in 4xy; the lowest exponents of x and y are 1, also in that term.
Simplifica combinando términos semejantes. 4x²-9xy-4y²-6x² - xy + 6y²
2 4x² − 9xy − 4y² − 6x² - xy + 6y² = ___ -
(Simplifica tu respuesta. No descompongas en factores). ?
Answers
Answer:
-2x² - 10xy + 2y²
Step-by-step explanation:
4x² - 9xy - 4y² - 6x² - xy + 6y² =
= 4x² - 6x² - 9xy - xy - 4y² + 6y²
= -2x² - 10xy + 2y²
Dr. Silvers gas tank holds up to 16 7/8 gallons of gas it took 11.55 gallons of gas to fill her tank how many gallons of gas does Dr. Silva have in her tank before she filled it into your answer as a decimal or as a mixed number in simplest form in the box
Answers
Answer:
2.45 gallons
Step-by-step explanation:
1. Translate \(16\frac{7}{8}\) into a whole number or decimal number: 14.
2. We know that Dr. Silvers filled her tank with 11.55 gallons of gas, so subtract 11.55 from 14.
\(14 - 11.55 = 2.45\)
3. There were 2.45 gallons of gas in Dr. Silvers gas tank before she filled it up.
Answer: this is the correct answer:
5 13/40
Step-by-step explanation:
believe me it's correct
Evaluate the expression for p = –52.
–15(53 + p) =
Answers
Answer:
-15
Step-by-step explanation:
Substitute -52 for p and solve using PEMDAS
-15(53 + -52)
= -15(1)
= -15
If it’s -15(52+p)
first you would have rearrange terms
which would be -15(p+52) then just distribute and you would get -15p-780
but if it’s -15(53+p)
you would do the same thing as the first solution which is rearrange terms and get -15(p+53) and distribute and your answer would be -15p-795
I hope this helps you.
which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Answers
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
For more questions on Angle.
https://brainly.com/question/31615777
#SPJ8
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5) in standard form PLZZ ANSWER QUICK
Answers
Answer:
7x10 ^-10
Step-by-step explanation:
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
For such more questions on ordered triple
https://brainly.com/question/29197252
#SPJ8
Suppose that a sample is taken from a population whose mean value is 48.
As the sample size increases, which value will the sample mean approach?
O A. 48
OB. 45
O C. 54
O D. 51
Answers
Answer:
A. 48
Step-by-step explanation:
Due to the law of large numbers, as sample size increases, proximity to the true mean increases for the sample mean.
It’s honestly one that make the more sense
what is the reciprocal for 4/9
Answers
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Can y’all help me pls
Answers
Answer:Sure, what do you need help with
Step by step explanation:
Sure, what do you need help with
∆ L′M′N′ was created by translating a triangle 4 units down and 2 units to the right. What were the coordinates of the original triangle, ∆ LMN? Group of answer choices L (−3, − 3 ), M (−4, − 7) , N (−1, − 7) L (−7, 5) , M (−8, 1) , N (−5, 1) L (−9, 3) , M (−10, − 1) , N (−7, − 1)
Answers
Answer:
Step-by-step explanation:
L (−7, 5) , M (−8, 1) , N (−5, 1)
Graph the equation. Identify the intercepts.
1.) y + 2 = -4(x - 2)
x-int:
y-int:
Answers
For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
y+2=-4(x-2)
for x-intercept=(x,0)
2=-4(x-2)
2=-4x+8
4x=6
x=6/4=3/2
for y-intercept=(0,y)
y+2=-4(*-2)
y=6
The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.
To know more about equation,
https://brainly.com/question/2228446
#SPJ1
Find the value of x in the triangle shown below.
12
Answers
Answer:
The answer is option CStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
From the question x is the hypotenuse
So we have
\( {x}^{2} = {5}^{2} + {12}^{2} \\ x = \sqrt{25 + 144} \\ x = \sqrt{169} \)We have the final answer as
x = 13Hope this helps you
who knows this answer ?!!
Answers
Answer:
D is the answer
Step-by-step explanation:
twice as many children is 24 because 12x2 is 24