Answer:
[tex]4 \sqrt{2} \: i[/tex]
Step-by-step explanation:
[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]
The sum of √-2 and √-18 is 4i√2.
What are Irrational Number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
We have √-2 and √-18.
To find the sum of √-2 and √-18 we need to perform addition as
= √-2 + √-18
= √2i + √18i
= √2i + 3i√2
= 4i√2
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When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?
A. The period is 2pi/b
B. The period is a
C. The period is pi/b
Explanation:
The value of 'a' out front in y = a sin(bx) determines the amplitude.
The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.
For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3
For tangent and cotangent functions, the period would be pi/b.
NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4
Answer:
Range = 1 1/4
Step-by-step explanation:
Range = Maximum - Minimum
Arranging the data in ascending order :
1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4Solving for range :
Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4Nick wants to write a 1,260 page science-fiction novel.
How many pages will Nick need to write each month to finish his novel in 1 year?
1 year = 12 months
Pages to write in 12 months = 1260
Pages to write in 1 month = 1260/12
= 105 pages per month
Calculate.
a) 130% of 220
Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry from the basket without looking, what are the outcomes
Answer:
Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...
there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured
Answer:
27.5%
Step-by-step explanation:
Given:
1 Liter In TeapotAlex poured 275 milliliters of the tea into a cupReview:
1,000 Milliliters = 1 LiterConcepts:
A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.Formula:
The mℓ to ℓ formula is [L] = [mL] / 1000.Now we must convert 275 milliliters to liters.
1. Divide the volume by 1,000.
275 ÷ 1000 = 0.275
2. Add the Unit Symbol for Liter.
0.275 ⇒ 0.275 L
Now we have to find how much of 1 liter- 0.275 liters as a percentage is.
To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.
Please please help me 30 points if you can I need the answer I know how to do it I just suck with the fractions
Answer:
1
Step-by-step explanation:
[tex]\text{Given that,}~ (x_1,y_1) = (-2,4)~ \text{and}~ \text{slope,}~ m = -\dfrac 32\\ \\\text{Equation of line,}~\\\\~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -4 =-\dfrac 32(x+2)\\\\\implies y-4 =-\dfrac 32x - 3\\\\\implies y = -\dfrac 32x -3 +4\\\\\implies y = -\dfrac 32x +1[/tex]
The current equation of the perpendicular line;
⇒ is the slope-intercept form: [tex]y= mx + b[/tex]
m: is the coefficient in front of the x, which is also the slope's valueb: y-intercept of the functionNow for the point-slope form, we need a point on the line and the slope of the line:
⇒ we have
slope = -3/2point: (-2,4)Since this is the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex]
⇒ where the (x₁,y₁) is the point on the line and m is the slope
[tex]= > Equation: (y-4)=-\frac{3}{2}(x+2)[/tex]
To convert the equation to slope-intercept form:
⇒ must isolate 'y' to one side and everything to the other side
[tex]y= -\frac{3}{2}(x+2)+4\\ y=-\frac{3}{2} x-3+4\\y=-\frac{3}{2}x+1[/tex]
Answer: [tex]y = -\frac{3}{2}x+1[/tex]
Hope that helps!
A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo if it has a height of 41 m and a diameter of 12 m. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
The volume of the silo = volume of the hemisphere + volume of the cylinder ≈ 4,410.8 m³.
What is the Volume of a Hemisphere and Cylinder?Volume of a hemisphere = 2/3πr³
Volume of cylinder = πr²h
The volume of the silo = 2/3πr³ + πr²h
r = 12/2 = 6 mh = 41 - 6 = 35 mPlug in the values
The volume of the silo = 2/3π(6³) + π(6²)(35) ≈ 4,410.8 m³
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Answer:
989.6 m^3
Step-by-step explanation:
refer to images hope this helps x
If the population of
an alien race doubles
every two minutes,
how long will it take
for the population to
grow from 1,000 to 32,000 ?
It will take 32 minutes for the population to grow from 1,000 to 32,000.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If the population of an alien race doubles every two minutes,
1,000 x 32 = 32,000
Hence, It would take 32 minutes.
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In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
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Which of the following shapes have faces? Select two options.
cube
rectangle
hexagon
octagon
pyramid
circle
Answer:
Objects mostly have one or more geometrical shapes like the following. These types of shapes are called three dimensional (3-D) shaped solids. All these geometrical shapes have faces. We have learned about faces like triangular faces, rectangular face, square face and circular face.
A pie has a diameter of 9 inches. each slice of the pie has a central angle of 45 degrees. What is the area of each slice of pie?
Area of sector
Ø/360×πr²45/360×π(4.5)²1/8×π(20.25)7.95in²option B
Answer:
b
Step-by-step explanation:
The area of a sector is (the angle) over 360 multiplied by pi (radius) squared
This would be 45/360 pi (4.5) squared, resulting in option b.
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84 what is the mean
Answer:
8
Step-by-step explanation:
Evaluate the functions for the given input values.
f(x) = x² + 1
g(x) = 2f(x)
g(-3) =
g(2) =
g(7) =
Answer:
g(-3) = 20
g(2) = 10
g(7) = 100
Step-by-step explanation:
g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).
g(x) = 2f(x)
g(x) = 2(x² + 1)
Multiply.
g(x) = 2x² + 2
Now that we have g(x) we just substitute values in the function.
g(-3) = 2(-3)² + 2
= 2(9) + 2
= 18 + 2
= 20
g(2) = 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
g(7) = 2(7)² + 2
= 2(49) + 2
= 98 + 2
= 100
Jun 07, 7:1
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place
Answer:
311.0
Step-by-step explanation:
pi3^2(11)
pi r^2 (h)
As seen in the picture. Any help is appreciated :)
Please Help I Don't Understand!
Answer:
D) None of the choices are correct.
Explanation:
Given triangles AHL and NKG
Sides which are congruent:
AH and NKHL and KGAL and NGSo, AHL ≅ NKG. There are no such options.
(2) If the price of an item is represented by p, a final price of 0.7p indicates a discount of what percent?
Answer:
30%
Step-by-step explanation:
First subtract: 1 - .70 = .30
Then move decimal over to the right 2 times and add percentage sign instead of the decimal: 30%
Solve number 11 pls
Answer:
b. x = 123
Step-by-step explanation:
area of number sense relates to the quantity of ingredients in recipes?
Measurement is the area of the number sense that has a relationship with the quantity of ingredients used in recipes.
How do you determine the measurements of recipes?The measures of recipes are determined by:
Weighing themCalculating their amount in volume etc.So measure recipes, one can either measure them using artefacts such as cups, spoons, or other kind of containers.
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13. (a) In any triangle ABC, if C = 300,b= 4, a = 2 find A and B. [3] (b) If a = b = c and a,b,c are in G.P., show that x,y,z are in H.P. [2]
please, solve them
Step-by-step explanation:
oksosjaoqkqeand
[tex]66 \sqrt[3x9 \frac{ \sqrt[xx. \sqrt[36 \sqrt[3136(2 > kaki \: kwl{]{?} ]{?} ]{?} }{?} ]{?} [/tex]
Find the equation of the lien shown.
Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = [tex]\frac{3-0}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x ← equation of line
The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer:
A. one solution; lines intersect at one point
B. (x, y) = (3, 4)
Step-by-step explanation:
A linear equation will be represented on a graph by a straight line. A pair of equations will graph as a pair of lines. If the lines are not coincident or parallel, they will intersect at exactly one point. That point is the solution to the pair of equations.
__
A.A graph of the given points quickly shows the lines are not parallel or coincident. Each point on line A satisfies the equation that describes the line. Each point on line B satisfies the equation that describes line B. The point of intersection is a point that satisfies both equations.
A pair of distinct non-parallel lines can have at most one point of intersection. Hence there can only be one solution to the pair of equations.
__
B.The graph shows the solution to the equations for lines A and B is ...
(x, y) = (3, 4)
PLEASE HELP I WILL GIVE BRAINLIEST!!
Find an angle in the range between 0 and 2ㅠ radians that is coterminal with
-ㅠ/2
a) 7ㅠ/2
b) 3ㅠ/2
C) 5ㅠ/2
d) ㅠ/2
The coterminal angle to -ㅠ/2 in the range between 0 and 2ㅠ radians is 3ㅠ/2.
How to find a coterminal angle?
For any angle A, all the coterminal angles are of the form:
B = A + n*(2ㅠ).
Where n is an integer different than zero.
In this case, the angle is A = -ㅠ/2
So the coterminal angles are of the form:
B = -ㅠ/2 + n*(2ㅠ)
We want it to be between 0 and 2ㅠ, so we can define n = 1, then we get:
B = -ㅠ/2 + (2ㅠ) = -ㅠ/2 + ((4/2)ㅠ) = 3ㅠ/2
Then we can conclude that the correct option is b.
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Hallar la ecuación de la recta qué pasa por el punto (2,3) y cuya abscisa en el origen es el doble que la ordenada en el origen
According to a survey, 48% of adults in the united states believe that unidentified flying objects (ufos) are observing our planet. you ask 8 randomly chosen adults whether they believe ufos are watching earth.
The expected number of adults that believe ufos are watching earth is 4
How to determine the number of adults?The given parameters are:
p = 48%
Sample size, n = 8
The expected number of adults that believe ufos are watching earth is calculated as:
E(x) = np
This gives
E(x) = 8 * 48%
Evaluate
E(x) = 3.84
Approximate
E(x) = 4
Hence, the expected number of adults that believe ufos are watching earth is 4
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Work out the perimeter of the shaded shape.
4m
19m
14m
8m
The diagram is not drawn to scale.
Answer:
45m
Step-by-step explanation:
4m+19m+14m+8m=45m
What segment is the altitude to side AC?
Segment CR
Segment BT
Segment BL
1.) Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
O (-4, 11 1/3)
O (3, -2 1/3)
O (6, -2)
O (12, -14)
2.) Line segment AB has endpoints B (-3, 0) and A(5, 4). What are the coordinates of the point located 1/4 of the way from B to A?
O (1, -1)
O (1, 2)
O (3, 3)
O (-1, 1)
3.) Line segment AB has endpoints A(1, 8) and B(7, -4). What are the coordinates of the point located 1/6 of the way from A to B?
O (0, 8 2/3
O (2, 6)
O (8 2/3, -3 1/3)
O (6, -3 1/3)
^Please help, ASAP. These were due yesterday, however I am trying to get this done.
BRAINLIEST AND 5 STARS TO CORRECT RESPONSES ONLY! LOTS OF PTS AVAILABLE TO THOSE WHO PARTICIPATE HOWEVER.
The coordinates of the 3 respective points from the given parameters are; (6, -2); (-1, 1); (2, 6)
How to find the length of Line Segment?1) The coordinates of the point located 5/6 of the way from A to B is;
x = ⁵/₆(7 - 1) + 1
x = 6
y = ⁵/₆(-4 - 8) + 8
y = -2
x, y = (6, -2)
2) The coordinates of the point located ¹/₄ of the way from A to B is;
x = -3 + ¹/₄(5 - (-3))
x = -1
y = 0 + ¹/₄(4 - 0)
y = 1
x, y = (-1, 1)
3) The coordinates of the point located ¹/₆ of the way from A to B is;
x = ¹/₆(7 - 1) + 1
x = 2
y = ¹/₆(-4 - 8) + 8
y = 6
x, y = (2, 6)
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To sell 300 notebooks and 120 pens quickly, a store decided to create two types of gift sets. one set is to include 2 notebooks and 1 pen, and the other will consist of 1 pen and 3 notebooks. the first set will be sold for $8, while the second will be sold for $11.50. it is unprofitable to sell more than 20 of any gift set. how many gift sets of each type must the store sell to obtain the biggest possible income?
The store must sell 60 of each set each to obtain the biggest possible income
How to determine the number of each gift set?The given parameters can be represented using the following table:
Set 1 Set 2 Available
Notebook 2 3 300
Pen 1 1 120
Selling price 8 11.5
Using the above data values, we have:
Objective function: Max P = 8x + 11.5y
Subject to:
2x + 3y ≤ 300
x + y ≤ 120
Next, we plot the graph of the above inequalities (see attachment)
From the attached graph, we have:
(x,y) = (60,60)
Hence, the store must sell 60 of each set each to obtain the biggest possible income
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