The required value of z is "i√6" to the given expression√(6/2 - 9) = z.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.
The expression is given in the question, as follows:
√(6/2 - 9) = z
We have to determine the value of z to the given expression.
As per the question, we have
⇒ √(6/2 - 9) = z
⇒ √(3 - 9) = z
⇒ √(- 6) = z
⇒ √(6 × -1 ) = z
⇒ (√6 × √-1 ) = z [∵ imaginary number i = √-1 ]
⇒ (√6 × i ) = z
⇒ z = i√6
Therefore, the required value of z is "i√6" to the given expression.
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Find the area of the haded region. Give your anwer a a completely implified exact value in term of π (no approximation). Chapter Reference b A 1 cm 1 cm 3 cm C O B D P
The shaded region has a surface area of 7π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
find the area of the circle with radius =3 cm,
then subtract the areas of the two circles with radius 1 cm
pir^2 = the area of a circle with radius = r
=pi(3)^2 -pi(1)^2 - pi(1)^2
= 9pi -pi-pi
= 9π-2π
= 7π
The area of shaded region is 7π.
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A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint
The ratio of yellow paint to mixed paint is 3/5.
What are ratio and proportion?A ratio is a comparison or relationship between two amounts of the same quantity to determine how much larger one number is than the other. Where b is not equal to zero, it is written as a/b or a: b. An equality of two ratios is a proportion. In order to write equivalent ratios, proportions are used, which aids in resolving the unknown quantities. As an illustration, a proportion is written as a: b = c: d.
Solution:-
Given,
Amount of yellow paint=3
Amount of blue paint=2
Ratio=yellow paint/total mixed paint
Ratio=3/(3+2)
Ratio=3/5
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. A student bought a book for $7.50 and a pen. The total cost was $9.50. Which of the following equations can be used to find the cost of the pen?
A p = 7.5b B p = 9.5b C 9.50 +p = 7.50 D 7.50 + p = 9.50
Answer:
The answer is D: 7.50 + p = 9.5
Step-by-step explanation:
The cost of the book(7.5) plus the cost of the pen(p) equals the total cost which was 9.5
a ski area claims that its lifts can move 47000 people per hour. if the average lift carries people about 200m (vertically) higher, estimate the maximum total power needed?
The peak is located at R=1 according to a power curve analysis. To put it another way, the load and source resistance must match.
At what point does maximum total power occur?The ski area's name needs to be changed first. Squaw is not a kind way to refer to a woman. It is an expression that refers to female genitalia. (a decent slang equivalent in English begins with "c" and rhymes with "runt") During my time as a teacher in an Indian school, I learned this in a very embarrassing manner.
If we suppose that each person weighs roughly 70 kilograms (154 lbs) on Earth, then the power required to simply raise the people is P = W/t, and since W = mgh in this situation, P = W/t = mgh/t = (47,000 people)(70 kg/person).
(2 MW) = (1791222.222 W)(9.8 N/kg)(200 m)/(3600 s).
The complete question is:
Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour. If the average lift carries people about 200 m (vertically) higher, estimate the maximum total power needed.
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Find the value of x in the triangle shown below. 56, 4.5, 4, 4
Answer:
x = 68°
Step-by-step explanation:
This is an isosceles triangle, which means the two base angles will be the same. (56° and 56°)
All triangles angles must add up to 180, so if we take 180-56-56 we will find the missing angle (x).
180-56-56 = 68
x = 68°
y
Which of the following best represents R = A - B?
A)
B)
R
The closing side of the triangle serves as the best representation of the resultant vector for the resultant R=A+B, so selecting option C would be the appropriate response.
what is vector ?A vector in mathematics is a quantity that has both magnitude and direction but no specific location. Illustrations of such numbers include velocity and acceleration. The term "vector" refers to something that has both magnitude and direction. When viewed geometrically, a vector can be thought of as a directed reference line, the direction of which is indicated by an arrow and whose length corresponds to the vector's magnitude. A quantity or phenomenon known as a vector has two distinct qualities that are its size and direction. Also included in the term is a description of how these values are represented geometrically or mathematically. Vectors are present in electromagnetic fields, as well as in weight, velocity, force, and velocity.
given
As stated in the issue, we must determine the resultant vector by adding vectors A and B.
The triangle law of vector addition, which states that the total is supplied by the triangle's closing side, can be used to calculate the vector's outcome.
Option C is the proper response, thus.
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If quadrilateral ABCD is a rectangle, where A(-5, -5), B(-10, -3), C(-6, 7) and D(x, y) is unknown. Find the coordinates of the fourth vertex Point D. Write your answer as an ordered pair.
Answer choices
(-1,5)
(-5,6)
(5,1)
(-10.-6)
Answer: No rectangle can make this shape
Step-by-step explanation:
How do you use sin Cos in C?
We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.
sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.
sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.
exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.
The” math.h” header file supports all these functions in the C language.
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Approximate the solution of the system to the nearest thousandth.
y= -4x^2 + 5x + 1
y= -3^x
i only got this far:
-4x^2 + 5x + 1 = -3^x
please help! thanks :)
Answer:
(-0.283, -0.733)
Step-by-step explanation:
There are various ways in which to approximate the solution. One is to use a graphing calculator and graph the two functions separately, then determine the point of intersection. The first function has a parabolic graph that opens down, whereas the second function has an exponential graph which heads downward as x increases.
At first try I found that the two graphs intersect in Quadrant III, at approximately (-1/2, -3/4).
Next I used my calculator's CALC tools, specifically that which finds the coordinates of the intersection of two graphs, ending up with these coordinates: (-0.283, -0.733). These coordinates are to the nearest thousandths.
If and when you take Calculus, you'll learn Newton's Method for Finding Roots, which doesn't require a graphing calculator.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 +248 + 116
Answer:
332=y
Step-by-step explanation:
A cylinder's height equals the diameter of its base. What fraction of the total surface area of the cylinder is the total area of the two bases
If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .
The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ [tex]2\pi rh[/tex] ;
the area of the top and bottom of the cylinder is ⇒ [tex]\pi r^{2} + \pi r^{2}[/tex] = [tex]2\pi r^{2}[/tex] ;
the total surface area of the cylinder will be ⇒ [tex]2\pi rh[/tex] [tex]+2\pi r^{2}[/tex] ....equation(1)
it is given that the height of cylinder is equal to the diameter of the base ,
that means ; [tex]h = 2r[/tex]
Substituting the value [tex]h = 2r[/tex] in the equation(1) ,
we get ,
total surface area of cylinder = [tex]4\pi r^{2} +2\pi r^{2}[/tex] = [tex]6\pi r^{2}[/tex]
So , the required fraction is = [tex]\frac{2\pi r^{2} }{6\pi r^{2} }[/tex] ,
On simplifying ,
we get ,
= [tex]\frac{1}{3}[/tex] .
Therefore , the fraction of two bases to the total surface area is [tex]\frac{1}{3}[/tex] .
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What is 648 rounded to the nearest ten
Answer: 640
Step-by-step explanation:
1. To help identify what place value to round write out the numbers with their place
the hundreds value in this question is 600
the tens value in this question is 40
and the ones value is 8
Since the questions asks to round to the nearest 10, you would look at the number after 4 and see if it is equal or greater than 5, if so, you would round it up to the next number, which would be 5 and write it like 640.
On a negatively skewed curve, which is true?
The answer is On a negatively skewed curve ,The mean is lower than the median, which is lower than the mode
What is Negatively skewed curve?When a distribution is negatively skewed in statistics, more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.
A longer or fatter tail on the left side of the distribution is referred to as negative skew, whereas a longer or fatter tail on the right is referred to as positive skew. The direction or weight of the distribution is indicated by these two skews.
The distribution's mean, median, and mode are referred to as its central tendency. The fact that the usually skewed data's mean, median, and mode are all equal illustrates how equally distributed wealth and income are, as well as the importance of government initiatives and economic growth.Because the negative side is so weighted, the distributions have a large gap. The data, for instance, includes income distributionin negatively skewed distribution, data shows the unequal distribution, the central tendency shows as under:Mode > Median > Mean.
Examples of negatively skewed curveUniversity exams. The tests are the same, yet a small fraction of students receive zero, average, or high percentage scores, indicating a negative skewed distribution of the data.The human Life cycle ,As many people live ordinary lives, some live very short lives, and some live very long lives in terms of age, the human life cycle is another illustration of a negatively skewed distribution.What causes a negatively skewed distribution?When the long tail is on the distribution's left side, the distribution is said to be left skewed. They are also referred to as negatively skewed by statisticians. Probabilities taper off more slowly for decreasing values, which causes this circumstance.
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Find the measure of the indicated angle. Need help please.
I need explanation
THANK YOU
Answer: Approximately 28 km
The more accurate, yet still approximate value, is roughly 27.995735464379
Round that however you need to.
=============================================================
Explanation:
As the diagram shows, the uppercase letters A,B,C represent the corner points of the triangle. They also represent the angles. The diagram says that:
angle A = 59angle B = 91The missing angle C is....
A+B+C = 180
C = 180-A-B
C = 180-59-91
C = 30
which we'll use later.
Convention usually has the side lengths be lowercase letters 'a', b, and c. Those lowercase letters are opposite their uppercase counterpart. We'll have side 'a' opposite angle A, then b is opposite B, and c is opposite C. This allows us to quickly label a triangle and find the missing sides and/or angles. The phrasing "solve the triangle" basically means "find all the missing sides and angles". For this problem, we're only concerned with one side.
The diagram says that side c = 14 due to it being opposite angle C.
The goal is to find side b, which is the shorter way of saying "find AC".
-------------------------
From here, we can use the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(91) = 14/sin(30)
b = sin(91)*14/sin(30)
b = 27.995735464379 which is approximate
b = 28
Side AC is roughly 28 km long.
I rounded to the nearest whole number since the "14 km" is also a whole number. Your teacher may want you to round differently.
Make sure your calculator is in degree mode.
Random students from a high school were surveyed to determine if there was enough interest to start a Ukulele Club.
Identify the population:
A. Students of high schools across the country
B. Students of the high school
C. Citizens of the city
D. Every citizen of the country
Answer:
b
Step-by-step explanation:
Answer:
B. Students of the high school
Step-by-step explanation:
It is high school because you just want to ask that area.
please help me I’ll give brainliest! ://
Answer:
The answer would be -10x-9
Which list shows the students in order from the greatest amount of time to the least amount of tme used?
Answer:
more information is needed
Step-by-step explanation:
inadequate info :(
A recipe for tropical punch calls for 222 liters of pineapple juice and 333 liters of orange juice. Jo creates a drink by mixing 333 liters of pineapple juice with 444 liters of orange juice. How does Jo's drink compare to the tropical punch recipe
Amount of pineapple juice is more in Jo's drink and amount of Orange juice is less in Jo's drink as compare than the tropical punch recipe because these are not in that ratio as in the tropical punch recipe.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.
The Number of cups of pineapple juice = 222 liters
The Number of cups of orange juice = 333 liters
Thus ,
Total number of cub of juice = 222+333
= 555 cups
In Jo's drink
The Number of cups of pineapple juice = 333 liters
The Number of cups of orange juice = 444 liters
Thus Total number of cub of juice = 333+444
= 777 cups.
The ratio of amount of pineapple juice and amount of Orange juice is 2:3 in the tropical punch recipe
Whereas the ratio of amount of pineapple juice and amount of Orange juice is 3:4 in Jo's drink
Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo's drink.
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what is the probability of spinning the pointer on the spinner below and getting a 2 or 4
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answer:
87.5%
Step-by-step explanation:
7 are shaded
8 total boxes are there
7/8= .875
.875*100=87.5%
FOR 50 POINTS + BRAINLIEST! (NEED ASAP)
Answer:
If Lola wants, then Lola gets
Hypothesis - She is a spoiled brat who has rich parents. But where did they get their wealth?
Conclusion - Her parents are hard workers who have made it up the ladder of wealth.
2. If the measure of an angle is 58*, then the angle is acute
Hypothesis - acute angles are from 1* to 89* which makes it the smallest angle. But why when the word acute means severe?
Conclusion - We know that anything below 90* is an acute angle.
This should be a start. I will finish in a sec...
Answer:
1. Hypothesis: Lola wants.
Conclusion: Lola gets.
2. Hypothesis: The measure of an angle is 58°.
Conclusion: The angle is acute.
3. Hypothesis: The segments are diagonals of a rectangle
Conclusion: The segments are congruent.
4. Hypothesis: You are a Filipino.
Conclusion: You are a God-fearing person.
5. Hypothesis: You are a good citizen.
Conclusion: You will obey rules and regulations.
Step-by-step explanation:
In a statement, the Hypothesis is the part after the "if", and the Conclusion is the part after the "then".
1. If Lola wants, then Lola gets.
Hypothesis: Lola wants.Conclusion: Lola gets.2. If the measure of an angle is 58°, then the angle is acute.
Hypothesis: The measure of an angle is 58°.Conclusion: The angle is acute.3. If the segments are diagonals of a rectangle, then the segments are congruent.
Hypothesis: The segments are diagonals of a rectangleConclusion: The segments are congruent.4. If you are a Filipino, then you are a God-fearing person.
Hypothesis: You are a Filipino.Conclusion: You are a God-fearing person.5. If you are a good citizen, then you will obey rules and regulations.
Hypothesis: You are a good citizen.Conclusion: You will obey rules and regulations.6.
Find the slope of the line.
A. –3
B. [tex]-\frac{1}{3}[/tex]
C. 3
D. [tex]\frac{1}{3}[/tex]
Answer:
The slope is 1/3. Goes 1 up and 3 to the right.
Maria had lunch at a restaurant. If the bill was $12.25 and Maria wants to leave a 20% tip, what is a reasonable estimate for the amount she should leave for tip?
Please explain how you got the answer
Answer: $2.45
Step-by-step explanation:
An easy way to find the correct tip is to learn what 20% of 12.25 is
Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2
.2 X 12.25 = 2.45
2.45 is 20% of 12.25
Can anyone help me please??? It’s not online. And please keep scrolling if u don’t know ...
Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y = [tex]\frac{1}{2}[/tex]x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y = [tex]\frac{1}{4}[/tex]x + [tex]\frac{3}{4}[/tex]
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of [tex]\frac{3}{4}[/tex] , so
y = 1/2x + [tex]\frac{3}{4}[/tex]
there you go Amanda :)
What are angles 2 and 8 called?
The Angle 2 and angle 8 in the given figure are called as the alternate interior angle and they are equal .
What are Alternate Interior Angles ?
The alternate interior angles are defined as the angles that are formed when a transversal intersects the two coplanar lines.
The alternate interior angles lie on inner side of parallel lines but they are on the opposite sides of the transversal.
So , From the figure we can conclude that the angle 2 , angle 8 and angle 3 and angle 5 are the alternate interior angles .
Therefore , the angle 2 and 8 are alternate interior angles.
The given question is incomplete , the complete question is
What are the angles 2 and 8 called in the given figure ?
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(6 × 10^3) ÷ (3 × 10^2)
Will give brainlist if its a full answer
Answer:
c 1.175 L
Step-by-step explanation:
you just add the two amounts of soap he put into the container and subtract it from the total amount of soap he had, 2 L.
Emma and arianna recoreded how much money they earned for doing chores for a each week for 5 weeks, the results were are lised below
Answer:
Step-by-step explanation:
It’s 0
Pls help me with this!
Answer:
5.5 + 4 +3
Step-by-step explanation:
I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
215/100
Step-by-step explanation:
it is asking for improper fraction
improper fractions are just the bottom number multiplied by the number outside of the fraction so in this case it is
2*100 which is 200 then add that to the top number
which leaves you with 215/100