Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Answer: 6/4
Step-by-step explanation:
Pull terms out from under the radical.
3
(
8
√
8
)
Multiply
8
by
3
.
3
√
8
The result can be shown in multiple forms.
Exact Form:
6
√
4
Decimal Form:
0.61237243....
what is the slope of a line perpendicular to the following line
y=1/3x-2
Answer:
The slope of a line perpendicular to the line y=1/3x-2 is the negative reciprocal of the slope of that line. The slope of the line y=1/3x-2 is 1/3, so the slope of a line perpendicular to it is -3.
pls help pls help pls help
Answer:
1.727 x 10^4
Step-by-step explanation:
2.26 x 10^4 = 22 600
5.33 x 10³ = 5330
22 600 - 5330 = 17 270
17 270 = 1.727 x 10^4
Create at least 3 expressions equivalent to 5z.
The required expression that is equivalent to 5z is √[5z]², [5z]²/5z, and 5z + 1 - 1.
Given that,
To create 3 expressions equivalent expression to 5z,
The algebraic expression consists of constant and variable. eg x, y, z, etc.
Here,
The expression can be created by applying the mathematical operation to the parent expression such as by squaring, division and multiplication, and so on.
The equivalent expression is deduced as, √[5z]², [5z]²/5z, and 5z + 1 - 1.
Thus, The required expression that is equivalent to 5z is √[5z]², [5z]²/5z, and 5z + 1 - 1.
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Compensation to find 37×4 please broken down showing work
The product of two given numbers 37 and 4 using distributive property is 148.
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Given that, 37×4.
Using distributive property, we can find the product of two given numbers
That is 37×4
= (30+7)4
= 30×4+7×4
= 120+28
= 148
Therefore, the product of two given numbers using distributive property is 148.
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A technician is setting up a router and would like to increase the security level. Which of the following actions will achieve this? A. Increasing transmission power B. Changing the default admin password C. Installing anti-malware on the router D. Configuring multifactor logon authentication
changing the default admin password will achieve the security level.
What is a router ?
An networking device called a router is used to forward data packets between computer networks. On the worldwide Internet and between networks, routers handle traffic directing. Data packets are the unit of data delivered via a network, such as an email or a web page. An internetwork (such as the Internet) is made up of networks, and a packet is normally passed from one router to another router over those networks until it reaches its destination node.
Default admin password can be known for many people and they can use the internet.
So, changing the default admin password will achieve the security level.
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If LM bisects JK at point P, which statements must be true? Select all the true statements.
Let f(x)=3x-4 and g(x)=x/2+1. Find f(g(x)) of f o g
Answer:
f(g(x)) = 1.5x - 1------------------------------------------
Given functionsf(x) = 3x - 4 and g(x) = x/2 + 1Find f(g(x))Substitute g(x) into x of f and evaluate:
f(g(x)) = f(x/2 + 1) = 3(x/2 + 1) - 4 = 3/2x + 3 - 4 = 1.5x - 1Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses 36 in. StartFragment, 36 in., 24 in. StartFragment, 24 in., 18 in. StartFragment, 18 in., 4 in.
Answer:.
Step-by-step explanation:
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Quadrilateral A'B'C'D' is a translation of quadrilateral ABCD. What is the length of A'B' ?
Answer:
7
Step-by-step explanation:
A'B' should be equal to AB, as AB corresponds to A'B' in the second image attached. Since AB = 7, A'B' will also equal to 7.
Answer:
Answer A
Step-by-step explanation:
7 units
The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
Barry draws the model below and says it proves that 1,243\3=481. What mistake does Barry make
Answer:
Step-by-step explanation:
You need to show the model so I can answer
What is the slope of -15x + 10y = 50?
m = 15
m = 2/3
m = 5
m = 1
m = 3/2
Answer:
[tex] \huge{ \boxed{m = \frac{3}{2} }}[/tex]
Step-by-step explanation:
[tex] - 15x + 10y = 50[/tex]
Equation of a line is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
To find the slope, we must first rewrite the equation in the given form y = mx + c and compare both equations.
[tex] - 15x + 10 y = 50 \\ \\ 10y = 15x + 50 \\ \\ \frac{10y}{10} = \frac{15}{10} x + \frac{50}{10} \\ \\ y = \frac{3}{2} x + 5[/tex]
Comparing it with the general equation y=mx + c,
[tex]m = \frac{3}{2} \\ [/tex]
3x + 2y = 7
x=3y +6
Answer:
[tex]x=3, y=-1[/tex]
Step-by-step explanation:
[tex]3(3y+6)+2y=7 \\ \\ 9y+18+2y=7 \\ \\ 11y+18=7 \\ \\ 11y=-11 \\ \\ y=-1 \\ \\ \\ x=3(-1)+6=3[/tex]
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ΔABC is rotated 90° clockwise about the origin.
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
The side lengths of a 30-60-90 triangle are in the ratio 1: √3:2. What is
cos 60°?
The value of cos60° is 1/2.
What is a 30-60-90 triangle?It is a triangle with constant angles of 30, 60, and 90. This triangle is always a right triangle, as one of the angles is 90 degrees. Thus, a right-angled triangle is formed by these angles. Additionally, the right angle is equal to the sum of two acute angles, which will have a 1: 2 or 2: 1 ratio.
We know,
For a 30-60-90 triangle, the sides opposite to 30° is a, the side opposite to 60° is √3a and the side opposite to 90° is 2a.
Therefore,
If a = 1,
The sides are where,
perpendicular = 1
Base = √3
Hypotenuse = 2
We know cosΦ = Base/ Hypotenuse
But in the case of cos60°, we have to take base as 1 and hypotenuse as 2, that is the angle has to be at base.
Base = 1
Hypotenuse = 2
Therefore,
cos60° = Base/ Hypotenuse
cos60° = 1/2
Therefore, the cos60° = 1/2.
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if 47200 dollar is invested at an interest rate of 10 percent per ayear.Find the value o the investment at the end of 5years for the following compunding method,to the nesrset cen.
(a) anually?
(b) semi anual?
(c)monthly?
(d)daily?
Answer:
a. annually
Step-by-step explanation:
anually means yearly, semi anual means twice a year
What is the next number in this sequence ? 1,2,2, 4,8,3,2
The next number in the given sequence is 256
What is Fibonacci sequence?
Leonardo Pisano Bogollo, an Italian, was the first to discover the Fibonacci sequence (Fibonacci). The numbers in the Fibonacci sequence are all whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... Each phrase in this infinite sequence—which has 0 and 1 as its initial values—is the sum of the two terms before it. This pattern has been referred to as "nature's secret code."
Sunflowers, daisies, broccoli, cauliflower, seashells, and other spiral-shaped plants all display the Fibonacci sequence.
Observe that, the terms in the sequence are based on the 2 to the power of the Fibonacci series (0,1,1,2,3,5,8 …)
2^0=1
2^1=2
2^1=2
2^2=4
2^3=8
2^5=32
2^8=256
So, the next number in the given sequence is 256.
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At which temperature did yeast cells produce the least amount of gas in 15 minutes?
[1]
_________°C
At 90 degree Celsius, yeast cells produce the least amount of gas in 15 minutes.
Given,
The graph shows the effect of temperature on Yeast Respiration
Change in volume of bread dough vs temperature of water bath bath is given in the graph.
We have to find the temperature at which the yeast cells produce the least amount of gas in 15 minutes;
Effect of Temperature on Yeast Respiration;
Yeast will produce more carbon dioxide at higher temperatures, which will result in more bubbles developing. The rate of respiration will decrease whenever the temperature rises above a particular level.
Here,
Compared to 10 degrees, 25 degrees, 50 degrees, and 75 degrees Celsius, the yeast cells produced the least quantity of gas in 15 minutes at 90 degrees.
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-9k+7>=16 and 5-k<=13
The solution to the inequality -9k + 7 ≥ 16 and 5 - k ≤ 13 is -8 ≤ k ≤ -1
How to determine the solution to the inequality?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
-9k+7>=16 and 5-k<=13
Rewrite the above inequality expressions
So, we have the following representation
-9k + 7 ≥ 16 and 5 - k ≤ 13
Evaluate the like terms in the above inequality expressions
So, we have the following representation
-9k ≥ 9 and - k ≤ 8
Divide both sides of the above inequality expressions by the coefficient of x
So, we have the following representation
k ≤ -1 and k ≥ -8
When the solution is merged, we have
-8 ≤ k ≤ -1
Hence, the solution is -8 ≤ k ≤ -1
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Complete question
Solve for k in -9k+7>=16 and 5-k<=13
Matthew invests $8,586 in a retirement account with a fixed annual interest rate of 5%
compounded continuously. How long will it take for the account balance to reach $23.457"
For each $23.457" borrowed, you would pay about a year $8,586 in interest, as in the case of a credit card with an APR of 5%.
What does annual interest rate mean?An estimate of the annual cost of borrowing money is the annual percentage rate (APR), which is expressed as a percentage of the principal loan amount. An accurate representation of how much borrowing money will cost is sought after by the annual percentage rate (APR) on a credit card or loan. In a different method, the annual percentage rate (APR) of a given loan is the total annual interest payments divided by the loan's outstanding balance. Assuming a credit card with a 10% APR, you would pay $8,586 in interest for every $23.457" borrowed over the course of a year.To learn more about Annual percentage rate (APR) refer to:
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Poems Percentage 155155155 \%%percent of 155155155 poems
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
How are percentages calculated ?In order to convert a proportion to a percentage, the number of desired results is divided by the total number of outcomes. The outcome is then 100% multiplied.
The total number of outcomes is presented as follows, taken from the tape diagram provided at the end of the answer:
According to the given information
155 poetry.
The distribution of the 155 poems is as follows:
155/155 x 100% = 100%.
In the 31 poems, there are:
31/155 x 100% = 20%.
Among the 186 poems, there are:
186/155 x 100% = 120%.
So
In this issue, the percentages are described as follows:
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
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2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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Please help asap will give BRAINLIEST
given the triangle below, select all true statements
Answer:
first and fourth statements are true
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , so
2x + 1 + x + x + 15 = 180 , that is
4x + 16 = 180 ( subtract 16 from both sides ) ← True
4x = 164 ( divide both sides by 4 )
x = 41 ≠ 49
then
∠ A = 2x + 1 = 2(41) + 1 = 82 + 1 = 83° ≠ 99°
∠ C = x + 15 = 41 + 15 = 56° ← True
Try to do 1 2 and 3 questions
Not the 4th question
Answer:
1. x=25
2. x=6
3. y=30; x=20
Step-by-step explanation:
1.) 180 - 130 = 2x
2x = 50
x = 50/2 = 25
2.) 24 = 3(x+2)
24 = 3x + 6
3x = 18
x = 18/3 = 6
3.) y = 46 - 16 = 30
x = 180 - 100 - 60 = 20
8. Jay pays a flat fee each month for basic cable service. He also pays $ 3.50 for each movie he orders during the month. Last month, he ordered 5 movies and his total bill came to $ 54.
a. Write an equation in point-slope form that b. What is the monthly flat fee Jay pays represents the total bill, y, in terms of the number each month? of movies, x Then simplify it to slope-intercept form.
c. Next month, Jay plans to order 7 movies.
d. This month, Jay's total bill is $ 78.50.
What will be his total bill for the month?
How many movies did he order this month?
Answer:
y=f+3.5x
Step-by-step explanation:
Let the total bill be y
and let the number of movies be x
let the flat fee be f
given that he pays $3.5 per movie
and his total bill is $54
The expression is given bellow for his total bill
y=f+3.5x
For 5 movies his total bill is $54
54=f+3.5(5)
54=f+17.5
54-17.5=f
f=36.5
Therefore the flat fee is $36.5
is this right
aww we fast
(algebra)
The price of a stock steadily decreased by a total of $159 over the past 14 months. Which expression shows the change in the stock's value?
The expression that shows the change in the stock's value is -159 * 14
How to determine the expression that shows the change in the stock's value?From the question, we have the following parameters that can be used in our computation:
Rate of decrement = $159
Duration = 14 months
Using the above as a guide, we have the following:
The expression that shows the change in the stock's value is
Expression = Rate of decrement * Duration
Substitute the known values in the above equation, so, we have the following representation
Expression = -159 * 14
Evaluate the products
Expression = -2226
Hence, the required expression is -159 * 14
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In the diagram, the measures of ∠2, ∠6, and ∠7 are 25°. The measure of ∠1 is 155°. Are lines c and d parallel?
Answer: Yes
Step-by-step explanation:
Parallel means that the lines are a constant distance away from each other and they never touch. As you can see lines C and D never touch.
Answer:
lets say C BAHAHAHA
Step-by-step explanation:
A kiddie pool holds 16 gallons of water. How many pints of water is this equal
The kiddie pool can hold 128 pints of water which is equivalent to 16 gallons.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 gallon is equal to 8 pints.
So, To obtain the number of pints in 16 gallons of water we have to multiply the total no.of gallons with a unitary pint value of 1 gallon which is,
= (16×8) pints.
= 128 pints.
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Answer: 128 pints
Step-by-step explanation:
1 gallon is 8 pints, 8 multiplied by 16 equals 128