Answer:
\( 4\sqrt{3} \)
Step-by-step explanation:
\( \sqrt{6} \times \sqrt{8} \)
Multiply
\( \sqrt{48} \)
Simplify
\( \sqrt{16 * 3} \)
\( \sqrt{16} \times \sqrt{3} \)
\( 4 \times \sqrt{3} \)
\( 4\sqrt{3} \)
What is the square root of -16?
O-82
O-41
O 41
O si
Answer:
D. Si because the other options aren't correct.
The square root of 16 is 4 so it would be 4i but the other options aren't 4i so it would be si :D Hope this helps
Step-by-step explanation:
The complex number Z= 1-(3 can also be written as?
Given the Complex Number:
\(z=1-i\sqrt{3}\)You can identify that it is written in Rectangular Form:
\(z=x+yi\)By definition, the coordinates in Rectangular Form are:
\((x,y)\)And in Polar Form:
\((r,\theta)\)In this case, you can identify that:
\(\begin{gathered} x=1 \\ y=\sqrt{3} \end{gathered}\)In order to convert them to Polar Form, you need to use these formulas:
\(\begin{gathered} x=r\cdot cos\theta \\ y=r\cdot sin\theta \end{gathered}\)Use this formula to find "r":
\(r=\sqrt{x^2+y^2}\)Then, this is:
\(r=\sqrt{1^2+(\sqrt{3})^2}=2\)You need to find the angle. You can use this formula:
\(\theta=tan^{-1}(\frac{y}{x})\)Therefore the angle is:
\(\theta=tan^{-1}(-\sqrt{3})+360\text{ \degree}\)\(\theta=300°\)Then:
\(z=2cos300\text{\degree}+2isin300\text{\degree}\)Hence, the answer is: Last option.
Given the expression 3x+2 evaluate the expression for the given values of x when x=(-2)
Answer:
...............................
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
Answer:
The probability for A is 1-0.1 is 90%
P(A)=90%
P(NOT B)=30%
P(A AND B)=0.9+0.7/2=1.6/2=80%
p(a and b) may be a little off.
Answers:
P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63=======================================================
Work Shown:
P(A) = 1 - P(not A)
P(A) = 1 - 0.1
P(A) = 0.9
-------------------
P(not B) = 1 - P(B)
P(not B) = 1 -0.7
P(not B) = 0.3
-------------------
P(A and B) = P(A)*P(B) only when A and B are independent
P(A and B) = 0.9*0.7
P(A and B) = 0.63
I NEED HELP :Angle X O Y and angle Y O Z are supplementary.
Answer:
C
Step-by-step explanation:
line XOZ is 180°
so when 52°+x=180
180-52=128
x=128
5x+8=3(x+2) anyone know the answer?
Step-by-step explanation
work out the question in bracket first then separate numericals and variables to make it easier.
Answer:
distribute
5 + 8 = 3 ( + 2 )
expand to
5 + 8 = 3 + 6
subtract 8 from both sides
5 + 8 = 3 + 6
5 + 8 − 8 = 3 + 6 − 8
simplify
5 = 3 − 2
subtract 3 from both sides
5 − 3 = 3 − 2 − 3
simplify
2 = − 2
then divide both sides by 2
2 / 2 = − 2/ 2
= − 2/ 2
answer is
= −1
Step-by-step explanation:
Hope that helps>3
Rate•Time = Distance
How many km per hour must you swim if you want to cross a 5-km channel in 2 hours?
Answer:
2.5 km/h
Step-by-step explanation:
Here we have a distance problem where we are given the distance the time time:
Rate = ?
Time = 2hrs
Distance = 5km
The simplest way to do this is to rearrange the formula to suit our need and plug in the numbers:
\(R*T=D\\R*\frac{T}{T}=\frac{D}{T} \\R=\frac{D}{T}\)
Now, plug in the numbers and solve:
\(R=\frac{D}{T}\\R=\frac{5}{2} \\R=2.5\)
Can somebody help me with my math I’ll give u brainlest
Answer:
yess!!
Step-by-step explanation:
''-''
Answer:
where are questions
Step-by-step explanation:
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
During a field trip to a local soda
manufacturing plant, students watched as
12 sodas were dispensed in 1.5 minutes. At
this rats, how many minutes will it take to
dispense 12 dozen sodas?
Answer:
the answer is 18 min
Step-by-step explanation:
if you times 1.5 times 12 you get 18
How long does it take for an investment of $6,400 to increase to $14,000 if
it is invested at 5% per year compounded continuously? Round to the
nearest tenth of a year.
An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6
Define compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods.Given that :
P = $ 6,400
Q = $ 14,000
r = 5%
Let P be the initial investment
r be the rate of interest
t be the time
Q be the increase amount
Q = P \(e^{rt} }\)
14,000 = 6,400 (\(e^{0.05t}\))
\(e^{0.05t}\) = \(\frac{14000}{6400}\)
\(e^{0.05t}\) = 2.187
Taking log on both sides , we get
0.05t = ln (2.187)
0.05t = 0.78
t = \(\frac{0.78}{0.05}\)
t ≈ 15.6
An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6
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Help me i need it
and pls answer it properly
I know you deserved the points thank you
POINTS ON A FIGURE. Write CL if the following points on the figure are collinear, CP if coplanar
and N if neither on the blank.
1. points J. U
4. points O, U, J
5. points L. Y O
2. points L, J
3. points F U. L
LINES ON A FIGURE. Use the figure below to identify the following lines.
1. TK and AK
a intersecting
2. AL and TO
b. perpendicular
3. 0E and OT
c. paralle
4. LE, LB and Lo
d. skew
5. AT and LE
e. concurrent
FIGURE ILLUSTRATION, Draw the following and label them accordingly
1. points Y E. S are collinear
2. MA L TH
3. q ll p ll r


Step-by-step explanation:
I just answered that. how often did you put that in ?
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
Do y’all know the answer ….???
Answer:
$500
Step-by-step explanation:
John earns $100 per night.
He works 5 nights a week.
Therefore his weekly gross wage = $100 × 5
= $500
carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answer:
$568.75.
Step-by-step explanation:
Substitute the given value and evaluate the expression: ( 27 1/2 + E squared) ÷ 1/3, for E is = 5
Answer: 115.5
Step-by-step explanation:
\(\frac{(27 * \frac{1}{2} + e^{2} )}{\frac{1}{3} } \\\\e = 5\\\\\\27 * 0.5 + 5^{2} = 13.5 + 25 = 38.5\\\\\frac{38.5}{\frac{1}{3} } = 3 * 38.5 = 115.5\)
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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Solve the following equation for x. Round the answer to the nearest hundredth.
−1.5r = 4(c + 2.18)
A. 0.63
B. 3.49
C. -1.59
D. -0.40
The equation -1.5x = 4(x + 2.18) solved for x is -1.59. Option C
What are algebraic expression?Algebraic expressions are described as expressions that are mainly composed of variables, terms, constants, coefficients and factors.
These expressions are also composed of arithmetic operations, such as;
AdditionSubtractionDivisionMultiplicationParenthesesFloor divisionBracketFrom the information given, we have that;
-1.5x = 4(x + 2.18)
expand the bracket
-1. 5x = 4x + 8.72
Now, collect like terms, we get;
-1.5x - 4x = 8.72
subtract the like terms
-5.5x = 8.72
Divide both sides by the coefficient of x
x = -1.59
Hence, the correct option is Option C
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Complete question:
Solve the following equation for x. Round the answer to the nearest hundredth.
−1.5x= 4(x + 2.18)
A. 0.63
B. 3.49
C. -1.59
D. -0.40
How many degrees is 5pi/4 radians?
Answer: 225
Step-by-step explanation:
Create a ratio part/whole for radians = part/whole for degrees
\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\) Keep change flip because you are dividing fractions for left side
\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)
\(\frac{5}{8} (\frac{360}{1} ) =x\)
x = 225
pls answer my last quashen please please
In the school parking lot at the high school, there were 120 cars and 30 SUVs, for a total of 150 vehicles. Complete the statement: People drove cars and SUVs in a ratio of __ to 1. (PLEASE HELP I NEED THE ANSWER ASAP)
Answer:
120 to 30 cars to SUVs, 120 to 150 cars to vehicles, 30 to 150 SUVs to vehicles, 4 to 1 cars to SUVs
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
A first number plus twice a second number is 4. Twice the first number plus the second totals 17. Find the numbers
Answer:
10; -3
Step-by-step explanation:
Let's represent the first number with x, and the second number with y. Now let's write these two equations to find the numbers.
x + 2y = 4
2x + y = 17
We can solve using the substitution method:
x = 4 - 2y
2x + y = 17
2 (4 - 2y) + y = 17
8 - 4y + y = 17
-3y = 9
y = -3
Now plug the value of y in to find x:
x + 2y = 4
x + 2(-3) = 4
x + -6 = 4
x = 10
So, the first number is 10, and the second number is -3.
Cheers.
I need some help with this
Erick and Mia live the same distance from the park and decide to meet at
the park one afternoon. The graphs show their distances from home over
the same 30-minute period as they walked to the park. Each section of
each graph represents 10 minutes.
Which of these statements are true?
Mia returned too her house after 10 minutes. T or F
Mia left her house 10 minutes before Erick left his house. T or F
It took Erick only 10 minutes to walk to the park. T or F
Erick and Mia arrived at the park at the same time. T or F
Erick walked the same distance as Mia during the last 10 minutes. T or F
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
What distinguishes a graph from a chart ?A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).
A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.
According to the given information
According to the information given in the graph
We got the following true Statements
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
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1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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If l was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer: 4(2x-3)
Step-by-step explanation: The unknown number is multiplied by 2, giving 2x,then subtracted by 3, giving (2x-3). Multiplying the final result by 4, Your final answer is 4(2x-3)
The algebraic expression for the given statement would be:
4(2x - 3)
Explanation:
First, we consider "I think of a number, multiply it by 2, and subtract 3". This translates to:
2x - 3
Next, we consider "multiply the result by 4". This means we need to multiply 4 with the expression 2x - 3, which gives:
4(2x - 3)
Solve the system of linear inequalities
-4x+3y<15 -6x-4y<12
Solving the system of linear inequalities, we get
-4x+3y<15 = (0,5),(-15/4,0)
-6x-4y<12 = (0,-3),(-2,0)
What is a system of linear inequalities?
At least two linear inequalities in the same variables make up a system of a linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
Here, we have
Given inequalities
-4x+3y<15 and -6x-4y<12
Now we solve the system of linear inequalities
For, -4x+3y<15
When we put x= 0, we get
y = 5
and if we put y = 0 , we get
x = -15/4
For, -6x-4y<12
When we put x= 0, we get
y = -3
and if we put y = 0 , we get
x = -2
Hence, Solving the system of linear inequalities, we get
-4x+3y<15 = (0,5),(-15/4,0)
-6x-4y<12 = (0,-3),(-2,0)
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Factorize completely x^3+3x^2+3x+1
Answer: (x+1)^3
Step-by-step explanation: