Answer:
there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
Step-by-step explanation:
Given the data in the question;
Let S(t) represent the amount sea ice around the North Pole in millions of square meters at a given time t,
t is the number of months since January.
Now, we use a cosine curve to model this scenario
Vertical shift will be;
D = ( 6 + 14 ) / 2 = 20 / 2
D = 10
Next is the Amplitude;
|A| = ( 6 - 14 ) / 2
|A| = 4
Now, the horizontal stretch factor will be;
B = 2π / 12
B = π/6
Hence;
S(t) = 4cos( π/6 × t ) + 10 ----------- let this be equation 1
Now we find when there will be less than 9 million square meters of sea ice;
S(t) = 9
so we have
9 = 4cos( π/6 × (t-2) ) + 10
9 - 10 = 4cos( π/6 × (t-2) )
-1 = 4cos( π/6 × (t-2) )
-1/4 = cos( π/6 × (t-2) )
so we have;
cos⁻¹( -1/4 ) = π/6 × (t₁-2) -------- let this be equation 2
2π - cos⁻¹( -1/4 ) = π/6 × (t₂-2) -------- let this be equation 3
so we solve equation 2 and 3
we have'
t₁ - t₂ = 6/π × ( 2π - cos⁻¹( -1/4 ) - cos⁻¹( -1/4 ) )
t₁ - t₂ = 6/π × ( 2π - 2cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 5.035
therefore, there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]
From the directrix to the pole, the distance p = 1
So;
[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]
[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]
1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824
all the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region, if the area of the big square is 900 square units.
THANK YOU SO MUCH FOR YOUR HELP
Answer:
Step-by-step explanation:
If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]
If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]
finally the two areas combined (squares 2 and 4) would be 225
Answer:
425
Step-by-step explanation:
I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.
Hope this helps :)
Please help me with this math
Answer:
(E) 9
Step-by-step explanation:
[tex]\frac{(3^{2008})^2-(3^{2006})^2}{(3^{2007})^2-(3^{2005})^2} = \\\frac{(3^{2007+1})^2-(3^{2007-1})^2}{(3^{2007})^2-(3^{2007-2})^2} = \\\frac{(3^{2007})^2(3^{2}-3^{-2} )}{(3^{2007})^2(1-3^{-4} )} =\\\frac{9-\frac{1}{9} }{1-\frac{1}{81} }=\\\frac{80}{9}:\frac{80}{81} = \\\frac{80}{9}*\frac{81}{80} = \frac{81}{9} = 9[/tex]
What’s the answer help please
Answer:
-3/4
Step-by-step explanation:
Have a nice day
Determine the equation of the circle graphed below.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
Step-by-step explanation:
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]Center = (h,k)[/tex]
[tex]radius \to r[/tex]
From the graph, we have
[tex](h,k) = (6,2)[/tex]
[tex]r = 2[/tex]
So:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
simplify (25-4)3^ times 5
Answer:
46305
Step-by-step explanation:
State one practical use of variation related to health statistics.
Briefly discuss its implications.
Step-by-step explanation:
Measurement errorRandom errorWrite a linear equation for the situation below.
A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute.
Answer:
y = -2x + 20
Step-by-step explanation:
Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.
In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.
The slope will be -2, since 2 gallons are drained per minute.
Plug in these values:
y = mx + b
y = -2x + 20
So, the linear equation is y = -2x + 20
What method would be best to use 53=4(x-3)^2-11
Answer:
x = 7 , -1
Step-by-step explanation:
SOLUTION :-
[tex]4(x-3)^2-11 = 53[/tex]
Add 11 to both the sides.[tex]=> 4(x-3)^2-11+11=53+11[/tex]
[tex]=> 4(x-3)^2 = 64[/tex]
Divide both the sides by 4.[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]
[tex]=> (x-3)^2 = 16[/tex]
Root square both the sides.[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]
[tex]=> x-3 = +4 \; or -4[/tex]
Here , x will have two values -
1) [tex]x-3 = 4[/tex]
[tex]=> x = 4 + 3 = 7[/tex]
2) [tex]x - 3 = -4[/tex]
[tex]=> x = -4 + 3 = -1[/tex]
VERIFICATION :-
When x = 7 ,
[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]
[tex]= 4 \times 4^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
When x = -1 ,
[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]
[tex]= 4 \times (-4)^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
A little girl counts using the fingers of her left hand as follows:
She starts by calling her thumb 1, the pointer finger 2, middle finger 3, ring finger 4, and pinky finger 5.
Then she reverses direction (on the same left hand), calling the ring finger 6, middle finger 7, pointer finger 8, and thumb 9, after which she calls her pointer finger 10 and so on.
If she continues to count in this manner, on which finger will she stop?
What if the girl counts from 1 to 10
What if the girl counts from 1 to 100
What if the girl counts from 1 to 1000
Answer:
1 to 10 = Pointer Finger
1 to 100 = Ring Finger
1 to 1000 = Ring Finger
Step-by-step explanation:
Every time she counts 10 on her fingers starting from 1 it either lands on her Index Finger or Ring Finger in a pattern of starting first on her index finger for 10 then ending up on her Ring Finger for 20 and 30 the going back to her Index finger for 40 and 50 and so on. Using this you can figure out 100 and 1000.
If the girl counts from 1 to 100, then finger stops at ring finger.
What is the pattern?In mathematics, a pattern is a recurrent arrangement of numbers, forms, colours, and other elements. Any event or object can be related to the Pattern. An arrangement of numbers is referred to as a pattern when it is done in a certain way. Sometimes a pattern is referred to as a series.
Given that, a little girl starts by calling her thumb 1, the pointer finger 2, middle finger 3, ring finger 4, and pinky finger 5.
One complete round is 8 count.
1) The girl counts from 1 to 10
So, 10/8 here, 2 is remainder.
2 means she stops at pointer finger
2) The girl counts from 1 to 100
Here, 100/8
Thus, quotient = 12 and remainder = 4
So, 4 means she stops at ring finger
2) The girl counts from 1 to 1000
Here, 1000/8
Thus, quotient = 125 and remainder = 0
So, 0 means she stops at thumb
Therefore, if the girl counts from 1 to 100, then finger stops at ring finger.
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Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. To build a bridge model that is 512 feet in
length, how long will the toothpicks need to be? Round to the nearest whole unit.
6 inches
7 inches
8 inches
None of these choices are correct.
Back
Next
All Previous
Answer:
6 inches
Step-by-step explanation:
460 ÷ 6 = 76.666666.
512 ÷ 76.666666 = 6.672
6.672 rounded to a whole number is 6.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message.
-kiniwih426
If M is the midpoint of AB, find the coordinates of A if M(-3, 5) and B(6, -11)
midpoint= (x, y)
where x=(x1 + x2)/2
y=(y1 + y2)/2
x1=-3, x2=6, y1=5, y2=-11
so x=(-3 + 6)/2= 3/2
y=(5 + -11)/2= (5-11)/2= -6/2= -3
so mid point =(3/2, -3)
hope this helps
This type of member variable may be accessed before any objects of the class have been created.
a. private
b. public
c. inline
d. static
e. None of these
Answer:
d. static
Step-by-step explanation:
This is a question about Java programming.
A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.
Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.
Deandra traded $2800 for Swiss francs, immediately changed her mind, and
then promptly traded her Swiss francs back into dollars. Which of these
amounts is she most likely to have?
A. More than $0 but less than $2800
B. $0
C. $2800
D. More than $2800
SUBMIT
Answer:
A
Step-by-step explanation:
More than $0 but less than $2800
The correct option is (A).
What is data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
Given:
Deandra traded $2800 for Swiss francs.
So, she would have More than $0 but less than $2800.
This is because she will not get the same amount back she has only has more than 0 and less than 2800.
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Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8
Clarksville Middle School spends $14 for every workbook it buys. At most how many workbooks can Clarksville Middle School buy if it has $28 to spend? workbooks
Answer
coochie man
Step-by-step explanation:
HELPP DONT SEND A FILE WHATS the surface area explain step by step too
Answer:6
Step-by-step explanation:
(-3, 5) is located in ____
a. Quadrant |||
b. Quadrant |
c. Quadrant |V
d. Quadrant ||
Answer:
D
Step-by-step explanation:
This is considered quadrant II
HELP ME PLEASE FAST
Don’t worry about the answer I pressed I pressed it by accident and I can’t take it off
Answer:
area of the rectangle
(3X²+5)(2X-3)
=3X²(2X-3)+5(2X-3)
=6X³-9X²+10X-15
A. 155
B. 163 1/2
C. 123
D. 122
E. 122 1/2
F. 130
help. no links. will give brainlist if your correct
Select from the following choices those graphs that represent only a dilation applied to this polygon with a scale factor great than 1. Select all that apply.
Answer:
B and C
Step-by-step explanation:
Required
Select graphs that are dilated by a scale factor greater than 1
For graph A:
Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1
For graph B:
Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph C:
Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph D:
Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).
Hence, b and c is true
Review
Bookmark
020-2021 I 2 of 9
v m2
The surface area of the figure is Choose...
Choose...
18 m
637
14
44
13 m
13 m
3,510
Step-by-step explanation:
the surface area is my head times my leg which is basically my eyes
WILL GIVE BRAINLIEST!
Which is the asymptote of the graph?
y = 0
y = −3
y = −2
y = −1
Answer:
y = -2
Step-by-step explanation:
_____________________
What is the equation of the circle?
Answer:
( x - (-1) )^2 + ( y - (-1) )^2 = 3^2
Step-by-step explanation:
The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.
(h,k) is the coordinates for the center point.
In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.
Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2
Now, we need to find the coordinate of K; the center point.
K's x is -1 and K's y is also -1.
Our equation is now:
( x - (-1) )^2 + ( y - (-1) )^2 = 3^2
Given f(x) = (1/4) -x, evaluate f(-2), f(1), and f(2). Question 3 options: a. 1/16, 4, 16 b. 16, 1/4, 1/16 c. 16, 4, 16 D. 16, 4, 1/16
Answer:
1/16 ;4 ; 16
Step-by-step explanation:
Given that :
f(x) = 1/4^-x
f(-2) = 1/4^-(-2)
f(-2) = (1/4)^2
f(-2) = (1/16)
f(1) = 1/4^-1
f(1) = 1 / (1/4)^1
f(1) = 1 * 4/1 = 4
f(2) = 1/4^-2
f(1) = 1 / (1/4)^2
f(1) = 1 / (1/16)
f(1) = 1 * 16/1 = 16
Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)
Answer:
B. binomcdf(100, 0.5, 35)
Step-by-step explanation:
Binomcdf function:
The binomcdf function has the following syntax:
binomcdf(n,p,a)
In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.
35 or fewer heads come up when flipping a coin 100 times.
100 coins are flipped, which means that n = 100.
Equally as likely to be heads or tails, so p = 0.5
35 or fewer heads, so a = 35.
Then
binomcdf(n,p,a) = binomcdf(100,0.5,35)
The correct answer is given by option B.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−5,−1) and (−3,−8)
Answer:
[tex]d=\sqrt{53}[/tex]
Step-by-step explanation:
We need to find the distance between two points i.e. (−5,−1) and (−3,−8).
It can be calculated using distance formula as follows :
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8
Put all the values,
[tex]d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}[/tex]
So, the distance between the points is equal to [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form(-3,5) and (-5,-2)
PLEASEEE HELPPP
A cone-shaped mold is filled with cake batter. The height of the mold is 15 inches, and the base diameter is 5.5 inches. What is the volume of the mold? Round to the nearest tenth.
Answer:
118.8 cubic inches
Step-by-step explanation:
volume of a cone is
[tex]vol \: = \frac{1}{3} \times \pi \times \frac{ {d}^{2} }{4} \times h[/tex]
where d is base diameter and
h is cone height.
hence
[tex]vol \: = \frac{1}{3} \times \pi \times \frac{ {5.5}^{2} }{4} \times 15 \\ = \pi \times \frac{30.25}{4} \times 5 \\ = 118.8 \: cu \: in[/tex]
The volume of the cone-shaped mold is 118.73 in³
What is volume?Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml.
Given that a cone shaped mold is filled with the cake batter, the height of the mold is 15 inches, and the base diameter is 5.5,
We need to find the volume of the mold,
Volume of the cone = π × radius² × height / 3
= 3.14 × 2.75² × 15 / 3
= 118.73
Hence, the volume of the cone-shaped mold is 118.73 in³
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