√-14 x √18
Please write with steps
Answers
Answer:
\(6i\sqrt{7}\)
Step-by-step explanation:
One can multiply the two radicles by multiplying the values under the radicals, then taking out perfect squares. In essence;
\(\sqrt{-14}{*\sqrt{18}\\\)
\(=\sqrt{(-14)(18)}\)
\(= \sqrt{-252}\)
Rewrite such that is expressed perfect square factors in the number,
\(\sqrt{(-1)(9)(4)(7)}\)
Take out the factors,
\(3 * 2*\sqrt{(-1)(7)}\)
Simplify,
\(6\sqrt{(-1)(7)}\)
Remember the square root of negative one can be signified by the character (\(i\)), therefore, one can take it out from the radical.
\(6i\sqrt{7}\)
Related Questions
what is 1,000,000÷500×42
Answers
Answer:
84000
Step-by-step explanation:
Answer:
fish?
or it could be the real answer instead of fish-
Which angle number represents an angle vertical to ZUXR?
T
X1
R
3/2
S
Y
4
5
U
W
Answers
Answer:
angle number 1
Step-by-step explanation:
An angle that is vertical to <UXR is an angle that is directly opposite to <UXR, which share the same vertex, X, as <UXR.
From the diagram given, the angle number that shares the same vertex as <UXR and is directly opposite to <UXR is angle number 1 (<SXT).
<1 = <UXR
Gven f(x) = -5x+9 If F(x)=-89. find x
Answers
Answer:
19.6 = X
Step-by-step explanation:
Plug in -89 for F(x)
Then just solve.
Get that 100.
Phyllis invested $12,000, part at 14% annual interest and the remainder at 10%. Last year she earned $1632 in interest. How much money did she invest at each rate?
Answers
Answer:
Amount invested at 14% is $10,800
Amount invested at 10% is $1,200
Step-by-step explanation:
Let x be the amount invested at 14% interest
Let y be the amount invested at 10% interest
Total investment :
x + y = 12000 [1]
Interest earned on x at 14% interest = 0.14x (14% = 14/100 in decimal)
Interest earned on y at 10% interest = 0.10y (10% = 10/100 in decimal)
Total Interest earned:
0.14x + 0.10y = 1632 [2]
Eliminate the y terms in the equation and solve for x; Then substituting value of x in any one equation solve for y
Multiply [1] by 0.1001.0(x + y) = 0.10(12000)
0.10x + 0.10y = 1200 [3]
Subtract [3] from [2]
0.14x + 0.10y = 1632
-
0.10x + 0.10y = 1200
----------------------------
0.04x = 432
-----------------------------
Divide both sides by 0.04 to get the value of x
0.04x/0.04 = 432/0.04
x = 10,800
Substitute this value of x in [1]:
10800 + y = 12000
y = 12000 - 10800
y = 1200
ANSWER
Amount invested at 14% is $10,800
Amount invested at 10% is $1,200
What is 2s + 5 > 49 ?
Answers
Answer:
s>22
Step-by-step explanation:
2s>49−5
2s>44
s>44/2
s>22
using A=Pe^rt solve
A=1,240,000
r=8%
t=30 years
what is P?
Answers
Answer:
P= 112,490.26207887
P= 112,490 (it should be a whole number for oliy represents the number of humans)
Step-by-step explanation:
1,240,000 = P e^(0.08×30)
1,240,000 = P e^(0.08×30)
________ ____________
e^(0.08×30) e^(0.08×30)
P = 112,490.26207887
or
1,240,000 = P e^(0.08×30)
____________ ____________
11.0231763806 11.0231763806
P = 112,490.26207887
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.
\((2x-3y)^5\)
Answers
The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]
Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵
Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y
Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²
Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³
Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴
Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵
Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)
Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
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A bottle of eye drops has 0.45 fluid ounces of liquid. How much liquid is in 104 bottles of eye drops?
A. 4,500 fluid ounces
B. 450 fluid ounces
C. 0.0045 fluid ounce
D. 0.00045 fluid ounce
Answers
Answer:
450
Step-by-step explanation:
10
When can you use proportional reasoning to solve a problem?
Answers
Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Proportional reasoning is the reasoning based on the cognition that a relationship exists between the multiples of the variables in the problem, such that the magnitude of a variable can implied from the changes made to the relationships connecting the variables.
An example of proportional reasoning is the distance travelled, d, after a given time, t, at a constant velocity, v;
d = v·t
To judge the distance travelled, a constant, v, multiplies the time, t, such that, at a longer time, it can be reasoned that the distance travelled is much further.
Therefore, proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.
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Alex had
5
6
liter of white paint. He used
1
8
of it to paint the wall and
2
5
of the
remaining to paint the fence. What part of the paint was left?
Answers
The part of the paint that was left is 51/120
Amount of white paint Alex had = 5/6Amount used to paint the wall = 1/8Remaining paint = 5/6 - 1/8
Remaining paint = 20-3/24
Remaining paint = 17/24Amount used to paint the fence = 2/5 of 17/24
Amount used to paint the fence = 34/120 = 17/60
Amount of paint left = 5/6 - (1/8 + 17/60)
Amount of paint left = 5/6 - (49/120)
Amount of paint left = 100-49/120
Amount of paint left = 51/120
Hence the part of the paint that was left is 51/120
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Please see the picture
LiNE
A , B , C , D ?
Answers
Answer:
5x+6y=-17
-6x-6y=24
a tv cost £800 plus VAT at 20% what is the total cost of the tv?
Answers
Answer:
Given:
Cost = £ 800
Tax = 20%
To find:
The total cost
Solution:
Total cost = Cost + Tax
Tax = 20 % of cost
20 / 100 * 800
Tax = £ 160
Hence,
Total cost = £ 800 + £ 160
Total cost = £ 960
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
Answers
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
Answers
x + 5
(43) + 5 = 48
what is the answer to the first one? pls help
Answers
Answer:
Step-by-step explanation:
14.75 - 8.85 = 5.9
5.9/2
Select the correct answer.
The graph of function fis shown
y +10
+5
5
10
-10
Which statement correctly describes the graph of 9() = (– 4);
A. Function g has the same horizontal asymptote as fand a vertical asymptote at 3 = 5.
ОВ. Function g has the same vertical asymptote as fand a horizontal asymptote at y = -2.
OC Function g has the same vertical and horizontal asymptotes as function f.
OD. Function g has a horizontal asymptote at y = -2 and a vertical asymptote at = 5.
Answers
Answer:
A
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is vertical asymptote?A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
here, we have,
We have to determine
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph;
The straight-line x=6 is a vertical asymptote of the graph of the function if at least one of these conditions is true:
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
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What is the formula to find the area of a circle?
Answers
Answer:
A= \(\pi\)r²
Step-by-step explanation:
the area of a circle
Solve:
\({2x}^{2} + x - 3 = \)
Answers
![Solve:[tex]{2x}^{2} + x - 3 = [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/RtCMZtOgr9tn6ydM7sBZ8qSateIFcmfn.png)
A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?
Answers
The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
How to calculate APR?To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:
\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)
Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:
\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)
APR = (1.0100333³ - 1) x 4
APR = 0.04033 x 4
APR = 0.16132 or 16.132%
Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
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what is (8 + 56) ÷ 4 + 3 2?
Answers
um is the end a 3 and 2 or 32 or 3*2?
Answer:
the answer to your question is 48
A helicopter is planning a route in a straight line from the top of Mount Whitney to Death Valley. (These two locations are in California and are the highest and lowest points respectively in the continental United States. They are only about 85 miles apart.) The helicopter will start at the top of Mount Whitney at an elevation of 14,505 feet and fly to the Badwater Basin (282 feet BELOW sea level). During its flight, the helicopter descends at a rate of 493 feet per minute, and the trip will take about 30 minutes.
Write an equation that relates the helicopter's elevation (E) to the travel time (t).
Question 3 options:
E=−493t+14787
t=14505−493E
E=14505−493t
E=282+14505t
Answers
The linear function that relates the helicopter's elevation (E) to the travel time (t) is:
E = −493t+14787What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The helicopter descends at a rate of 493 feet per minute, hence \(m = -493\).It flies from an elevation of 14,505 feet to an elevation of 282 feet BELOW sea level, hence the distance it travels in feet is \(b = 14505 + 282 = 14787\)Hence, the model is:
E=−493t+14787You can learn more about linear functions at https://brainly.com/question/13967935
Answer:
E=−493t+14787
Step-by-step explanation:
just got it right on the test
Let F=−1yi+1xj. Use the tangential vector form of Green's Theorem to compute the circulation integral ∫CF⋅dr where C is the positively oriented circle x2+y2=16.
I get 8192pi or 25735.9270 as my answer and it is incorrect. Can someone please help?
Answers
The value of the required integral is 32π.
We are given a vector F = -yi + xj. A vector is a quantity with magnitude and direction that is commonly represented by a directed line segment, with length representing magnitude and orientation in space representing direction. We need to use the tangential vector form of Green's Theorem to compute the circulation integral ∫CF⋅dr where C is the positively oriented circle x² + y² = 16.
Let the value of the integral be represented by the variable "I".
I = ∫∫[(/x)(x) - (/y)(-y)]dA
I = ∫∫[(1 - (-1)]dA
I = ∫∫2dA
I = 2∫∫dA
I = 2×(Area of the circle)
I = 2*(πr²)
I = 2*(π*16)
I = 32π
Hence, the value of the required integral is 32π.
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What is the solution of |9x - 36| = 9
Answers
Answer:
x = 5
Step-by-step explanation:
1. |9x - 36| = 9
2. Add 36 to each side.
3. |9x| = 45
4. Divide 9 on both sides.
5. |x| = 5
6. Absolute Value of x.
7. x = 5
8. Theres your answer :)
Someone help me with this
Answers
Answer:
-2
Step-by-step explanation:
-10 + 3 = -7
Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale cricket you count the number of chirps in 15 seconds and for the katydid you count the number of chirps in 20 seconds. If c is the number of chirps per minute, what is the expression for the number of chirps for i) The Brookdale cricket in 15 seconds
Answers
Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
Answers
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
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The question is incomplete. The complete question will be -
Number 8 Please!!!!!
Thank You!!!
Answers
Answer:
x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6
Step-by-step explanation:
If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)
For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answers
Answer: 1,4,6
Step-by-step explanation:
https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/
Simplify 45/150 show work please:)
Answers
Answer:
\(\frac{3}{10}\)
Step-by-step explanation:
\(\frac{45}{150}\) 15 can go into both 45 and 150 so you divide both into that
45/15 is 3
150/15=10
\(\frac{3}{10}\)
What is the area of a rectangle with a length of 313 feet and a width of 123 feet?
279 ft²
329 ft²
559 ft²
813 ft²
Answers
Answer:
the answer is 559
Step-by-step explanation:
I took the quiz