The age of the plant if the height of the plant is 19 inches is 28 months.
What is logarithmic regression?The general equation for logarithmic regression is given by the formula,
y = a+b ln(x)
where y is the dependent variable, x is the independent variable, and a and b are the constants.
Let y be the height of the plant and x be the age of the plant.
If we plug in any two of the points in the equation, to get the value of a and b.
x = 1 and y = 18[tex]18=a+b\rm \ ln(1)\\\\18=a+0\\\\a = 18[/tex]
x = 2 and y = 18.21[tex]18.21=18+b\rm \ ln(2)\\\\0.21=b\ ln(2)\\\\b = 0.3[/tex]
Thus, the logarithmic expression represents the relationship between the age of the plant and the height of the plants is y=18+0.3 ln(x).
Now, if the height of the plant is 19, inches than the age of the plant is,
[tex]y=18+0.3\rm\ ln(x)\\\\19 =18+0.3 ln(x)\\\\x = 28.03\approx 28[/tex]
hence, the age of the plant if the height of the plant is 19 inches is 28 months.
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Answer:
28 months (d)
Step-by-step explanation:
its that because it is
A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of the pool is filled per hour?.
At the considered rate the fraction of pool that is filled per hour is 13/12
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.
in 12 hour time interval total 13 pools were filled.
That means
Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.
Thus, at the considered rate the fraction of pool that is filled per hour is 13/12
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please this is due tomorrow
Answer:
289m = 2,890dm
Step-by-step explanation:
you multiply the meters by 10
help me out here please
Answer:
They came to different conclusions because if you graph n+10 and 2n+3, eventually 2n+3 will surpass n+10 (see picture for diagram). Since they both plugged in different numbers for n, they received different answers to the question.
Which side of triangle XYZ is the longest?
A. overline XY
B. overline XZ
C. overline YZ
D. Cannot be determine
Answer:
B)XZ
Used a calculator and just took this quiz
Answer:
B
Step-by-step explanation:
m < y = 180 degrees - 60 degrees - 43 degrees = 77 degrees
77 > 60 > 43
xz > yz > xy
XZ is the longest side. So the answer is B
PLEASE ANSWER ASAP
On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the slide and the tire swing is 7 feet and the distance between the tire swing and the monkey bars is 10 feet, how far is the slide from the monkey bars? If necessary, round to the nearest tenth.
Answer:
I hope the attached image helps!
Step-by-step explanation:
Answer: use the pythagorean theorem method
A² + B² =C²
7²+ 10² =C²
7•7=49
10•10=100
49+100= 149
the square root of 149 is
12.2.
7²+10²= 12.2² or 12 rounded to the nearest tenth
hope this helps :)
Step-by-step explanation:
40 POINTS AND BRAINLIEST TO WHOEVER CAN WALK ME THROUGH THIS AND HELP ME
A staircase of steps in a swimming pool has a vertical rise of 10 inches per step and a landing of 14 inches. Answer the following questions showing each step of your work:
a) What is the angle of elevation (rounded to the nearest whole degree)?
b) If the landing of each step is changed to 17 inches and the elevation of each step to 13 inches, what is the new angle of elevation for the staircase (rounded to the nearest whole degree)?
Answer:
a) 36°
b) 37°
Step-by-step explanation:
a) x=14 y=10
tan(0) = 10/14
0 = tan-1 (10/14)
0 = 36
b) x=17 y=13
tan(0) = 13/17
0 = tan-1 (13/17)
0 = 37
Explain how knowing 4 times 8 will help you solve 4 times 80
Answer:
knowing 4 times 8 will help you know 4 times 80 because all you would have to do is multiply 4 by 8 and then add the 0 to your answer
Step-by-step explanation:
4*8=32
Jannette says ABC ~ DEF because ABC's sides form a Pythagorean triple and DEF's side lengths are multiples of ABC's side lengths. Is she correct?
Answer: Yes
Step-by-step explanation:
DEF's side lengths are multiples of ABC's side lengths
in triangle cde find ec
Step-by-step explanation:
EF/EC = FG/CD
12/EC = 20/45
12 = 20/45 EC
12×45/20 = EC
27 = EC
EC = 27
Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositi
of transformations?Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositions
of transformations?
Answer:
Rotate 180 degrees
Step-by-step explanation:
round off 6 337 927 to 3 significant figures
Answer:6340000
Step-by-step explanation:
i will cry if i can't answer these
Answer:
15
Step-by-step explanation:
3 liters equals to 3000 milliliters
divide 3000 by 200 and you get 15 bowls of soup
Look at the sequence below. To get to the next term in the sequence,
subtract 90 from the term before.
520,
430, 340,
Write the first two terms of the sequence that are less than zero.
Answer:
The first two negative terms are -20 and -110
A Mexican restaurant sells quesadillas in two sizes: a "large* 10 inch-round quesadilla and a "small" 4 inch
round quesadilla. Which is larger, half of the 10-inch quesadilla or the entire 4-inch quesadilla?
Answer:
Half of the 10-inch quesadilla ↓
Here is the inequality statement:
10 ÷ 1/2 = 5 > 4
10 divided by its half equals five which is greater than 4.
A right triangle with the dimensions given in units is shown below.
Answer: 12.5?
Step-by-step explanation: because a square is a full and half of it makes a triangle so I guess its half so 12.5?
what is the remainder of 4.75?????
Answer:
I think its the 75
Step-by-step explanation:
hope this helps
PARALLELOGRAM QUESTION LOTS OF POINTS, SERIOUS ANSWERS ONLY I WILL REPORT
Answer:
m∠C = 75°
Step-by-step explanation:
Theorem:
The consecutive angles of a parallelogram are supplementary (sum to 180°).
⇒ m∠D + m∠E = 180°
⇒ (7x + 21) + (15 + 5x) = 180
⇒ 7x + 21 + 15 + 5x = 180
⇒ 12x + 36 = 180
⇒ 12x = 144
⇒ x = 12
Theorem:
Opposite angles of a parallelogram are equal.
⇒ m∠C = m∠E
⇒ m∠C = 15 + 5x
Substituting found value of x:
⇒ m∠C = 15 + 5(12)
⇒ m∠C = 75°
Consecutive angles of a parallelogram are supplementary
7x+21+5x+15=18012x+36=18012x=144x=12<C:-
5(12)+1560+1575°If "x" is equal to 6, what is the value of the following expression? y = 2x + 9x + 3
Answer:
[tex]y = 69[/tex]
Step-by-step explanation:
Given the following question:
[tex]y=2x+9x+3[/tex]
[tex]x=6[/tex]
Substitute and solve using PEMDAS:
[tex]y=2x+9x+3[/tex]
[tex]y=2(6)+9(6)+3[/tex]
[tex]2\times6=12[/tex]
[tex]y=12+9(6)+3[/tex]
[tex]9\times6=54[/tex]
[tex]y=12+54+3[/tex]
[tex]12+54=66[/tex]
[tex]66+3=69[/tex]
[tex]y=69[/tex]
Your answer is "y = 69."
Hope this
50 points HELPP QUICK which figure is a rotation of figure A?
a. figure B
b. figure C
c. figure D
Answer: Figure D
Figure D is a 180 degree rotation of figure A.
If there are 18 frogs in the tank and I put 9 in the bowl how many are left. 15 points
Answer:
Tank: 9 Bowl: 9
9 + 9 = 18
Step-by-step explanation:
Pls, choose me as brainliest!
A laptop computer is purchased for $2300. After each year, the resale value decreases by 25%. What will the resale value be after 4 years
since its 25% on each of the 4 years then it becomes 100%, but because its decreasing then that means it is half of $2300, which is $1150.
The answer is $1150
4.
Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the participants were recorded before and after the run. The pre-run and post-run pulse rates, in pulses per minute (ppm), are shown in the table below.
Based on the data in the table, which statement is true?
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
What is the post run mean?This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
What is the post run median?First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at https://brainly.com/question/396397.
find the value of x Round your answer to the nearest tenth what does x equal hury please!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
tan41° = opposite / adjacent
tan41 = 12/x
x ( tan41 ) = 12
X = 12/tan41°
X = 13.80
when rounded off = 14
simply the expression
Answer:
5w^22
Step-by-step explanation:
james had $400 in his bank account after paying bills for 4 months his balance is now $160. what is his rate of change in dollars per month?
Answer:
60
Step-by-step explanation:
400-160=240
240/4=60
Which circle has the longest circumference? Why?
Answer: The longest part of the circle is called diameter. Diameter is a chord. It is equal to double of radius.
A chord is a line segment with both endpoints on the circle. The diameter is a special chord that passes through the center of the circle. The diameter would be the longest chord in the circle.
Step-by-step explanation:
An angle measures 62.8° less than the measure of its supplementary angle. What is the measure of each angle?
Will give 30 to correct answer!
Some boats were traveling up and down a river. A satellite recorded the movements of several boats.
A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go? miles
A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity? miles per hour
Answer:
3a) 2.55 miles
3b) -5 mi/h
Step-by-step explanation:
3a)
In this problem, we want to know the distance travelled by the boat.
For a boat in uniform motion (=constant speed), the distance travelled can be written as
d=vtd=vt
where:
d is the distance travelled
v is the speed
t is the time
For the motor boat in this problem, we have:
v = 3.4 mi/h (we ignore the negative sign, because it only refers to the direction, but here we are considering the speed, which is a scalar and has no direction)
t = 0.75 h is the time
Therefore, the distance travelled is
D= (3.4)(0.75 = 2.55 miles
3b)
The velocity of an object is the ratio between its displacement (change in position) and time taken.
Since velocity is a vector, it has both a magnitude and a direction: so in this case, we also have to consider the sign when expressing the velocity.
The velocity is given by:
v=\frac{d}{t}v=
t
d
where
d is the displacement
t is the time taken
For the tugboat in this problem,
d = -1.5 mi is the displacement
t = 0.3 h is the time taken
So, its velocity is
v=\frac{-1.5}{0.3}=-5 mi/hv=
0.3
−1.5
= -5 mi/h
And the negative sign indicates that the boat is moving in the negative direction.
Find the solution set for this equation.
-62-5b=0
Separate the two values with a comma.
[tex]\\ \rm\rightarrowtail -62-5b=0[/tex]
[tex]\\ \rm\rightarrowtail 5b=-62[/tex]
[tex]\\ \rm\rightarrowtail b=-62/5[/tex]
[tex]\\ \rm\rightarrowtail b=-12.4[/tex]
Factor the expression 4x2-100
(4x-5)(x+20)
(2x+5)(2x-20)
4(x-5)(x+5)
(2x-5)(2x+20)