Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
The number of days it takes the water lily population to double will be 3.915.
What is a regression equation?The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.
This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:
[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]
Hence the number of days it takes the water lily population to double will be 3.915.
To learn more about the regression equation refer to the link;
https://brainly.com/question/7656407
Asia has a jar of marbles. She randomly selects a marble from the jar, records its color, and returns it to the jar. She repeats this 74 times. Her results are shown in the table. A frequency table shows each outcome and its frequency. Red, thirteen times. Blue, twenty times. Green, twenty-two times. Yellow, nineteen times. What is the experimental probability of Asia choosing a green marble?
Answer:Experimental probability = 0.297
Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297
Therefore the experimental probability of choosing green marble is 0.297.
PLEASE HELP AND ANSWER CORRECTLY
I know the axis of symmetry but I don't know how to put it in an equation
please review the graph and answer you may use the other answers to help
Answer:
standard form: y = x² - 2x - 8
vertex form: y = (x − 1)² - 9
factorized form: y = (x + 2)(x - 4)
Step-by-step explanation:
From inspection of the graph:
Axis of symmetry: x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)Standard quadratic form: y = ax² + b x + c
Vertex form of a quadratic equation: y = a(x − h)² + k
If a > 0 then the parabola opens upwards
If a < 0 then the parabola opens downwards
(h, k) is the vertex
c is the y-intercept
Inputting the vertex into the vertex form gives:
y = a(x − 1)² - 9
= a(x² - 2x + 1) - 9
= ax² - 2ax - 8
Using the x-intercepts to create a quadratic equation:
y = a(x + 2)(x - 4)
= a(x² - 2x - 8)
= ax² - 2ax - 8a
Comparing the y-intercepts:
-8 = -8a ⇒ a = 1
Therefore, y = x² - 2x - 8
Cameron is 1.85 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 21.55 meters. He stands 16.6 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree can be found by establishing a proportional relationship between the heights and the shadows of the tree and Cameron and the height of the tree to the nearest hundredth of a meter is 2.40 m.
Proportional relationshipProportional relationships are relationships between two variables where their ratios are equivalent.
Therefore, we will establish a proportion to find the height of the tree.
Cameron height = 1.85 m
Tree shadow = 21.55 m
Cameron shadow length = 16.6 m
height of the tree = x
Therefore,
1.85 / x = 16.6 / 21.55
16.6x = 21.55 × 1.85
x = 39.8675 / 16.6
x = 2.40165662651
x = 2.40 m
learn more on proportion here: https://brainly.com/question/26753283
Find the value of x. Round to the nearest tenth.
I’m going to Mcshoot myself pls help
Answer:
x = 10.8
Explanation:
[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
using cosine rule:
[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]
[tex]\rightarrow \sf x = cos(26) *12[/tex]
[tex]\rightarrow \sf x =10.8[/tex]
Answer:
The answer is rounded 10.8
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.
Hope this helps!
8) 120 balloons are filled with gas at the rate of 0.6 gallons per minute. How much time it takes to fill all balloons if the volume of one balloon is 1.2 gallons?
Answer:
240 Minutes
Step-by-step explanation:
0.6 per minute × 2 = 1.2 gallons .
120 balloons × 2 mins= 240 mins
Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?
Answer:
5.5 hours
Step-by-step explanation:
dibide by 2 one is 5 and one is 6, middle. is 5.5,
Please help I will give brainliest.
Answer:
Multiply the numbers then Add on both sides then simplify
Step-by-step explanation:
this is what I need help with, because I dont understand how to do it
Answer
102.1
Step-by-step explanation:
area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.
please someone help 2 yards=_____feet
Answer:
3 feet in a yard, so the answer is 6
Step-by-step explanation:
2 yards x 3 feet in a yard = 6 feet
Answer:
6
Step-by-step explanation:
There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.
Hope that helps!
The Roberts family uses a container shaped like a cylinder to recycle aluminum cans. It has a height of 4 feet and a diameter of 1.5 feet. The container is full.
The Volume of the container is: 28.3 ft3
How much do the contents weigh if the average weight of aluminum cans is 37 ounces per cubic foot?
The volume of the container is the amount of can in it
The contents weigh 1047.1 ounces
How to determine the weight of the container?The given parameters are:
Volume = 28.3 cubic feet
Average weight of can = 37 ounces per cubic foot
So, the weight of the container would be:
Weight = Volume * Average weight of can
Substitute known values
Weight = 28.3 cubic feet * 37 ounces per cubic foot
Evaluate the product
Weight = 1047.1 ounces
Hence, the contents weigh 1047.1 ounces
Read more about volumes at:
https://brainly.com/question/1972490
PLA HELP ME THIS IS MY LAST CHANCE Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
Answer:
Answer is C
Step-by-step explanation:
Because you divide each side by 2 because that is the scale factor
PLEASE HELP QUICKLY 25 POINTS
Answer:
○ [tex]\displaystyle \pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
[tex]\pi[/tex]
Step-by-step explanation:
The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).
From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].
Therefore, the period of this trigonometric function is [tex]\pi[/tex]
The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle?
Answer:
10
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d
2=10
2=5
What is the distance between the points (3, 4.1) and (3, 1.2)?( i will give brainly points)
Answer:
2.9
Step-by-step explanation:
subtract the distances:
4.1-1.2
2.9
Liz's tea was too hot to drink, so she put it in the freezer. The temperature of the tea was
initially 175°F, and it decreased by about 7% each minute. You can use a function to approximate the
temperature of Liz's tea X minutes after she put it in the freezer.
Which equation represents this function?
The answer for this equation funtion would be The first one because it is the correct answer.
Answer:
Step-by-step explanation:
ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).
Answer:
y=ax, y»a
Step-by-step explanation:
that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point
A stunt plane ended a maneuver
100 meters above the top of a
skyscraper before dropping more
than 12 meters. What is the
highest altitude the plane could be
after the drop?
Answer:
The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level
Therefore , the total elevation (e) would be :
e = 300 + 100
= 400m
How do I write 5 2/5 as a fraction greater than one
Answer:
27/5
Step-by-step explanation:
because If you do 5 2/5 = ? you get 27/5
What is x3+y3+z3. I been trying to figure it out but hard
The table below shows Ashley's earnings on the job. Time (hours) Earnings (dollars) 18 $514.80 23 $657.80 31 $886.60 How much does she make in 11.25 hours
Answer:
$321.75
Step-by-step explanation:
k = y/x
514.80/18= 28.6
28.6 * 11.25 =321.75
Thus, Ashley will earn 321.75 in 11.25 Hours
~Lenvy~
Answer:
$321.75
Step-by-step explanation:
Formula ⇒ k = y/x
Dollar = y
x = Hour
Hence,
514.80/18= 28.6
28.6 × 11.25 =321.75
Therefore, Ashley will make $321.75 in 11.25 Hour
[RevyBreeze]
What is 3/5 1/2 because my answer is 7/10 and my teacher said it's wrong
Answer:
If you want to multiply then,
3/5 × 1/2 = 3/10 or 0.3
If you want to Add then,
3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1
If you want to subtract then,
3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1
If you want to Divide then,
3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5
Smitville is located between Jonesville and Cityville. Smitville is five times as far away from Cityville as it is from Jonesville. If the distance between Jonesville and Cityville is 288 km, how far is it from Jonesville to Smitville?
<-------------------288km---------->
x=48 km 5x=240km
⊙__________⊙___________⊙
jonesville smitville cityville
6x=288
x=48
=48km
find perimeter of a semicircle that has radius of 6cm (give answer in 2 d.p)
Answer:
30.84 cm
Step-by-step explanation:
Formula for perimeter of semi-circle = πr + 2r
Radius (r) = 6 cm
π = 3.14
Perimeter
= πr + 2r
= 3.14(6) + 2(6)
= 3.14(6) + 12
= 18.84 + 12
= 30.84 cm
_________
Hope it helps ⚜
Answer:
30.85 cm to 2 d.p.
Step-by-step explanation:
The perimeter is made up of the diameter ( = 2*radius) and half a full circle
= 6*2 + 1/2 * π* 6
= 12 + 3π
= 30.849
help me with the dementions of this triangle
Answer:
20
Step-by-step explanation:
I'm not too sure why 22 is there. Triangle = (bh) / 2
90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.
Answer:
First, we must know the formula for the area of a triangle.
A = BH x 1/2
Where 'b' represents the base, and 'h' represents the height.
Multiplying by 1/2 basically means dividing the result of (base x height) by 2.
Now we plug in what we know, given the dimensions shown.
We know that the area is 90 square units.
We also know that the height is 9, so;
A = BH x 1/2
90 = B(9) x 1/2
Solve for B:-
90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2
90 = 9b x 1/2
Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;
*2 *2
180 = 9b
To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.
÷ 9 ÷ 9
20 = b, our base is 20 square units.
The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
What is the smallest number by which 256 may be divided so that the quotient is perfect cube?
Answer:
The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.
Step-by-step explanation:
There were 18 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
There are 18 choices for first place, 17 for second, and 16 for third.
Therefore, there are 18 x 17 x 16=4896
So there are 4,896 ways possible
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Donald said that the median is 2. What did he do wrong?
8,13,2,4,48
Answer:
He did not put the numbers in order.
Explanation:
The numbers need to be in order from smallest to largest before you find the median.
Tony bought 291 1-inch nails and 5 boxes of 2-inch nails. Each box of 2-inch nails had equal amounts of nails in them. He bought a total of 626 nails. Find the number of nails in each box of 2-inch nails.
A.
67
B.
97
C.
335
Answer:
Each box of two inch nails contained 67 nails
Step-by-step explanation:
Givens
291 one inch nails
5 boxes of 2 inch nails
Total number of nails = 626 nails
Formula
291 + 5*two = 626 Two is the number of 2" nails in one box
Solution
291 + 5*two = 626 Subtract 291 from both sides.
5*two = 626 -291 Combine
5*two = 335 Divide both sides by 5
5*two/5 = 335/5
two = 67