Answer:
A
Step-by-step explanation:
What as |x|= infinity, then p(x)=2 mean is that,
as x get bigger on either side of +ve or -ve, you get really close to 2.
Graph A could be p(x).
The answer is option A.
What is a simple definition of function?
A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.
What is a function example?A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).
Learn more about function here: https://brainly.com/question/4025726
#SPJ2
The logistic growth function f(t)equals440 Over 1 plus 13.7 e Superscript negative 0.28 t EndFraction describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 20 months? Round to nearest whole number.
Answer:
8685 butterflies
Step-by-step explanation:
Given the logistics growth function expressed as f(t)equals440 Over 1 plus 13.7 e Superscript negative 0.28 t which describes the population of a species of butterflies t months after they are introduced to a non threatening habitat, to know the number of butterflies expected butterflies are expected in the habitat after 20 months, we will substitute t = 20 into the function.
f(20) = 440/1+13.7exp-(0.28×20)
f(20) = 440/1+13.7exp-(5.60)
f(20) = 440/1+(13.7× 0.003698)
f(20) = 440/1+0.05066
f(20) = 440/1.05066
f(20) = 8684.9
This means there will be approximately 8685 butterflies in the habitat after 20months.
Does the relation define a function? If it does, state the domain of the function.
Does the relation define a function? If it does, state the domain of the function
Answer: Choice A
Yes; Domain = {m, n, p, q}
We have the inputs (think of them as the x values) as m, n, p and q. They make up the domain. The domain is the set of all allowed inputs. We do not have any repeated inputs, which is why we have a function. Any given input leads to exactly one output.
Given that Arccos (√3/2)=β, what are all the angle measurements for right triangle ABC?
Answer:
30°, 60° and 90°
Step-by-step explanation:
Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.
Note that a right angled triangle is made up of two acute angles and a right angled (90°)
Let's get one of the acute angles first
If Arccos (√3/2)=β
β = cos^-1 √3/2
β = 30°
This shows that one of the acute angles is 30°
To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.
90+30+x = 180
120+x = 180
x = 180-120
x = 60°
All the angle measurement for the right angled triangle are 30°, 60° and 90°
One day I found a strange thing happening to my watch,the minute hand & the hour hand were coming together every 65 minutes.I decided to get it checked. Was my watch gaining or losing time, and how much per hour?
Answer:
Step-by-step explanation:
The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.
Here M = 64. The clock gains or losses in a day by
=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)
=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.
PLZZ HELPP WILL GIVE BRAINLIEST Graph the line y=25x+3. Use the line tool and select two points on the line. THIS IS A K12 TEST PLZZ
Step-by-step explanation:
you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.
so to find x and y intercept
y=25x+3. to find x intercept designate y as zero
0=25x+3
-3=25x
x= -3/25. p( -3/25,0)
y=25x+3 to find y intercept designate x as zero
y=25(0)+3
y=3. p(0,3)
the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.
Which is the simplified form of the expression ((2sqrt-2)(3sqrt4))sqrt-3 * ((2sqrt-3)(3sqrt2))sqrt2
Answer:
[tex]\boxed{-432\sqrt{2} i}[/tex]
Step-by-step explanation:
[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]
[tex]-432\sqrt{2}\sqrt{-1}[/tex]
[tex]-432\sqrt{2} i[/tex]
Answer: it’s d!
Step-by-step explanation:
A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real numbers such that cc is greater than b. Find an exact expression for the length of the hypotenuse (in appropriate units).
Answer: hypotenuse = [tex]c^{2} + b^{2}[/tex]
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ([tex]s_{1},s_{2}[/tex]) of the right triangle, .i.e.:
[tex]h^{2} = s_{1}^{2} + s_{2}^{2}[/tex]
In this question:
[tex]s_{1}[/tex] = [tex]c^{2}-b^{2}[/tex]
[tex]s_{2} =[/tex] 2bc
Substituing and taking square root to find hypotenuse:
[tex]h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}[/tex]
Calculating:
[tex]h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}[/tex]
[tex]h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}[/tex]
[tex]c^{4}+b^{4}+2b^{2}c^{2}[/tex] = [tex](c^{2}+b^{2})^{2}[/tex], then:
[tex]h=\sqrt{(c^{2}+b^{2})^{2}}[/tex]
[tex]h=(c^{2}+b^{2})[/tex]
Hypotenuse for the right-angled triangle is [tex]h=(c^{2}+b^{2})[/tex] units
The expression for the length of the hypotenuse is [tex]c^2+ b^2 \ units[/tex].
Given that,
A right-angled triangle has shorter side lengths exactly [tex]c^{2} - b^{2}[/tex] and 2bc units respectively,
Where b and c are positive real numbers such that c is greater than b.
We have to determine,
An exact expression for the length of the hypotenuse?
According to the question,
The Pythagoras theorem states that the sum of the hypotenuse in the right-angled triangle is equal to the sum of the square of the other two sides.
A right-angled triangle has shorter side lengths exactly [tex]c^{2} - b^{2}[/tex] and 2bc units respectively,
Where b and c are positive real numbers such that c is greater than b.
Therefore,
The expression for the length of the hypotenuse is,
[tex]\rm (Hypotenuse)^2 = (c^2-b^2)^2+ (2bc)^2\\\\(Hypotenuse)^2 = c^4+ b^4 - 2c^2b^2 + 4c^2b^2\\\\(Hypotenuse)^2 = c^4+ b^4 +2c^2b^2 \\\\Hypotenuse = \sqrt{c^4+ b^4 +2c^2b^2}\\\\\ Hypotenuse = \sqrt{(c^2+ b^2)^2}\\\\ Hypotenuse = c^2+b^2 \ units[/tex]
Hence, The required expression for the length of the hypotenuse is [tex]c^2+ b^2 \ units[/tex].
For more details refer to the link.
https://brainly.com/question/9214495
Find the value of each trigonometric ratio.
Will give brainliest
Answer:
3.36:45=0,8
4.40:32=1,25
536:45=0,8
6.48:50=0,96
Hope it helps and likes it
Step-by-step explanation:
3- sin Z = opp/hyp
sin Z = 27/45
Z = sin-¹(27/45)
Z = 37
4- tan C = opp/adjacent
tanC = 24/32
C = tan -¹ ( 24/32)
C = 36.87 ( or 37)
5- cos X = adj/hyp
cos X= 36/45
X = cos-¹ (36/45)
X = 37
6- sin C = opp/hyp
sin C = 14/48
C = sin -¹ (14/48)
C= 17 (or 16.96)
WILL GIVE BRAINLIEST PLZ HELP
Answer:
y = -5x - 9.
Step-by-step explanation:
(-2, 1)
(0, -9)
(1 - -9) / (-2 - 0) = (1 + 9) / (-2) = 10 / (-2) = 5 / (-1) = -5
Since -5 is the slope, and the y-intercept is at (0, -9), we have an equation of y = -5x - 9.
Hope this helps!
Answer:
y=-5x-9
Step-by-step explanation:
Change in x = +2
Change in y=-10
-10/2=-5
m=-5
plug in an point
example:
1=-5(2)+B
B=-9
To check your answer:
y=-5x-9
plug in an point for x given on the chart:
-5(0)-9=-9
Find the value of x in the triangle shown below.
Answer:
x=48
Step-by-step explanation:
The other angle is 66° because it's an isosceles triangle
so
180=66+66+x
180=132+x
x=48
Answer:
48 degrees
Step-by-step explanation:
Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48
A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the two possible value of x.
Answer:
5 1/3 or 5.33333333333333333333333333333333333333333333333333333
Step-by-step explanation:
to find the scale factor, you must divide the two equal sides.
[tex]\frac{6}{8}[/tex]
which equals
[tex]\frac{3}{4}[/tex] or 0.75
Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75
[tex]\frac{4}{0.75}[/tex]
Which equals
5.333 repeating or 5 1/3
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
HELPPPP I need help finding x a and b pleaseeee
Answer:
5x-18 this angle is equal to 92
3x+22 this angle is equal to 88
angle a=88
angle b=92
Step-by-step explanation:
set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22
angle b will be equal to the angle 5x-18
Answer:
The value of x is22°, a is 88° and b is 92°.
Hope it helps..
You want to find the area of the front of a house whose shape is a triangle on top of a rectangle with a width of 11. The triangle's height is 13 and the rectangle's height is 7. What is the total area of the front of the house? Round to the nearest tenth. Do not include square units in your answer.
Answer: 148.5
Step-by-step explanation:
To find the area of this shape, comprised of a rectangle and a triangle, we can find the area of each shape and add them together.
The area of a triangle is 12⋅b⋅h. We are given the triangle's height, 13. The base of the triangle will be the same as the width of the rectangle, which we also know: 11. Now we can calculate the area of the triangle:
A = 1/2⋅b⋅h
A = 12⋅11⋅13
A = 71.5
Now we can find the area of the rectangle, which is l⋅w. The width of the rectangle is 11, which is the same as the base of the triangle; the length is 7:
A =l⋅w
A = 7⋅11
A = 77
Finally, we can add together the area of the triangle and the rectangle to find the total area:
A = 71.5 + 77 = 148.5
The total area of the front of a house will be 148.5.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangle has a width = 11
The triangle's height = 13
The rectangle's height = 7
Now,
Since, The base of the triangle will be the same as the width of the rectangle.
Hence, The area of rectangle = 7 x 11
= 77
And, The area of triangle = 1/2 x 11 x 13
= 71.5
Thus, The total area of the front of a house = 77 + 71.5
= 148.5
Therefore, The total area of the front of a house will be 148.5.
Learn more about the rectangle visit:
https://brainly.com/question/398984
#SPJ2
There are 6 chemical elements represented by Li, Na, Mg, Rb, Cs, and Fr that
are written on separate pieces paper. You randomly choose 3 elements, one
at a time, without replacement.
Find the probability that the third element is Na.
Enter the correct answer in the box.
Answer:
1/6
Step-by-step explanation:
I think this is tricky.
when you randomly choose the 1st two times, it doesn't matter as long as Na was not chosen, otherwise the probability would become ZERO for the 3rd one be Na.
So, after 1st two is removed, there are only 4 left in the pool, so picking Na at the 3rd draw is 1/4 probability.
But, come to think of it, when 1st draw, you have to draw the other 5 out of 6, 2nd draw the 4 out of 5, then 3rd is 1 Na out of the 4.
So, 5/6 x 4/5 x 1/4 = 1/6
need HELP ON THIS A S AP !!!!!
Answer:
803.84yd²
Step-by-step explanation:
Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]
We are given the radius of 8 yards.
Using 3.14 for pi:
[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]
The correct answer should be 803.84yd².
Brainilest Appreciated.
Answer:
803.84 yd^2
Step-by-step explanation:
4*3.14*8^2
12.56*64
803.84
brainliest pls
hope i helped
-ZYLYNN
According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your area. What is the expected number of dentist who recommend the brand? What is the standard deviation?
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
Trigonometry.... plzzz helllppp
Answer:
Hey there!
We can write this equation:
cosine xyz=6/15, or 0.4
arc cosine 0.4= 66.4
Thus, angle xyz is 66.4 degrees
Hope this helps :)
Need help, please!! Don't anwser if you don't know it!!!!!!
Answer:
C
Step-by-step explanation:
On the horizontal axis, as the discount (%) increases by 1(%), on the vertical axis; the sales increase (%) increases by 3(%).
When the discount is 10%, the sales increase is 32%.
When the discount is 20%, the sales increase is 62%.
20 - 10 = 10
10 × 3 = 30
32 + 30 = 62 (correct)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Place the indicated product in the proper location on the grid. (3xy - 1) (4xy + 2)
Answer:
[tex]2(6x^2y^2+xy-1)\\[/tex]
Step-by-step explanation:
We are to find the product of the given expression. Given the expression
(3xy - 1) (4xy + 2), th product is derives by simply opening up the bracket as shown below;
[tex]= (3xy - 1) (4xy + 2)\\\\= 3xy(4xy)+2(3xy)- 1(4xy)-1(2)\\\\= 12x^2y^2 + 6xy-4xy-2\\\\= 12x^2y^2 + 2xy-2\\\\bringing\ out\ the\ common\ factor;\\\\2(6x^2y^2+xy-1)\\\\[/tex]
The expression 2(6x²y²+xy-1) gives the required product.
Mr Krishnan earned 2,400 rupees ,he spent 3/8 on food ,1/3 on taxes and 1/6 on other expenses. Find out how much all this in rupees and then find out how much he saved
Step-by-step explanation:
to find his total expenses, add all fraction spent
3/8 + 1/3 + 1/6
= 9+8+ 4/24
= 21/24. = 7/8
total fraction =1
subtract the fraction spent form the total fraction to know the fraction left for savings
1-7/8= 1/8
therefore if. 1 = 2,400
then 1/8=?
if less more divides
1/8 ÷ 1 ×2,400
1/8 × 1/1×2,400
1/8 × 2,400
=300.
therefore the man saved 300 rupees
after allowing 20%discount on the m.p of a mobile,15% vat was levied and sold it.If the differences between selling price with vat and selling price after discount is rs.1800,find the marked price of the mobile
Answer:
Market price = Rs. 15,000
Step-by-step explanation:
Let Market price = x
discount = 20% of x
= 0.20 *x = 0.2x
Selling price after discount = x - 0.2x = 0.8x
Value added tax = 15% of 0.8x
= 0.15 * 0.8x
= 0.12x
Selling price with VAT = 0.8x + 0.12x = 0.92x
Differences between SP with vat and SP after discount = rs.1800
0.92x - 0.8x = 1800
0.12 x = 1800
x = 1800/0.12
x = Rs. 15,000
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use? Check all that apply.
3 x minus 3 + 4 = 2 minus x minus 3
3 x minus 1 + 4 = 2 minus x + 3
3 x minus 3 + 4 = 2 minus x + 3
3 x + 1 = negative x minus 1
3 x + 3 = negative x + 5
3 x + 1 = negative x + 5
Answer: 3 x minus 3 + 4 = 2 minus x minus 3
3 x + 1 = negative x minus 1
Step-by-step explanation:
A and D. Edge 2020
The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.
The equation is the relationship between variables and represented as[tex]y = ax +b[/tex] is an example of a polynomial equation.
Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
x = -1/2
Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ5
What is the solution to this equation? 8 - 5(x - 3) = 18
Answer:
x = 1
Step-by-step explanation:
Given
8 - 5(x - 3) = 18 ( subtract 8 from both sides )
- 5(x - 3) = 10 ( divide both sides by - 5 )
x - 3 = - 2 ( add 3 to both sides )
x = 1
How many times greater is 1,000,000,000 than 1,000,000?that is how many groups of 1 million are there in 1 billion? Please help.
Answer:
1,000
Step-by-step explanation:
1,000,000 x 1,000 = 1,000,000,000
1,000,000,000 has 4 more zeros than 1,000,000 and 1,000 has 4 zeros so there 1000 is the answer.
*HELP* Select the correct answer. What is the value of this expression when t = -12? -3|t − 8| + 1.5 A. 61.5 B. 13.5 C. -10.5 D. -58.5
Answer: D
Step-by-step explanation:
If we substitute -12 into this equation we get:
[tex]-3[-12-8]+1.5[/tex]
[tex]-3[-20]+1.5[/tex]
Because -20 is in absolute value, we simply just use 20.
Thus,
[tex]-3(20)+1.5\\= -60+1.5\\= -58.5[/tex]
Answer:
D
Step-by-step explanation:
Help please!!! Thanksss
Answer:
6:00 p.m.
hope this helps :)
A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm. Give your answer in standard form. PLZ SHOW WORKING
Answer:
4000 nm
Step-by-step explanation:
Conversion from meters to nanometers: 1 meter is 1(10⁹) nm
Step 1: Convert 0.000004 to scientific notation
0.000004 = 4(10⁻⁶)
Step 2: Convert by multiplication
4(10⁻⁶) x 1(10⁹) = 4000 nm
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
Rearrange the following formula to solve for p: wa+3p=q
Answer:
wa + 3p = q
3p = q - wa -- Subtract wa
p = (q - wa) / 3 -- Divide by 3
Answer:
[tex] \boxed{\sf p = \frac{1}{3} (p - wa)} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: p: \\ \sf \implies wa + 3p = q \\ \\ \sf Subtract \: wa \: from \: both \: sides: \\ \sf 3p = q - wa \\ \\ \sf Divide \: both \: sides \: by \: 3: \\ \sf \implies p = \frac{1}{3} (q- wa)[/tex]
f(x)=x^2-3x-2 is shifted 4 units right. The result is g(x). What is g(x)?
Answer:
[tex]\boxed{\mathrm{C.}\:\: g(x)=(x-4)^2-3(x-4)-2}[/tex]
Step-by-step explanation:
The function is shifted 4 units right.
The value of x in the function is subtracted from 4, because this is a horizontal translation.
[tex]f(x)=x^2-3x-2[/tex]
[tex]g(x)=(x-4)^2-3(x-4)-2[/tex]
Answer:
c
Step-by-step explanation:
if you shift to the right funnily enough, you have to "compensate" for that by SUBTRACTING the number of units.
EXTRA
To check, use a simple function f(x)= x²
The top of this parabola is at (0,0).
We want to check if g(x) = (x-4)² is the right function....
Now if f(x) is shifted 4 units right than all variables with x in them, need to be compensated for. The question is do you need to add or subtract...
We know that the result is g(x), and we know that the top of g(x) would end up at (4,0).
For that to happen you need to compensate with g(x) = (x-4)²
Now check if (4,0) is on g(x) by substituting x=4. if the result turns out to be 0, then you know it is ok...
Substituting x=4 indeed results to
4-4 = 0, so (4,0) is on g(x).
Conclusion, by checking this one special value, you now know you have found the correct compensation factor!