An oak tree is 1.5 x 10^3 centimeters tall which unit of measurement is most appropriate to measure this height
Answers
D) feet
A tree 1.5 x 10^3 is 1500 centimeters. That's about 300 inches, which would better be measured in feet.
You can use the fact that normally people use those measurements which are whole numbers or not elongated decimal number mostly and not much big numbers.
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
How to find the appropriate unit for measurement?Normally people use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
A tree is measured suitably if we use feet. It is because the normal tree height is from few feet to few hundred feet.
If you measure tree height in centimetres, then as you can see in the question, the number before cm unit is quite big to handle by normal people.
If you measure in too big unit like kilometres, then the height would be expressed mostly like 0.some digits.
That's why we choose feet.
Since 1 cm = 0.0328 feet
thus, height of specified tree in feet would be
[tex]\rm 0.0328 \times 1.5 \times 10^{3} = 49.2 \: feet[/tex]
See the number before feet. Its not too big nor too small, and easy to remember and converse. That's why feet is appropriate.
Thus,
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
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Related Questions
Simplify.
Write your answer without parentheses.
Answers
Answer:
Simplifying the expression eliminating the parentheses:
(-5 u^2 w)^3 = -125 u^6 w^3
Step-by-step explanation:
(-5 u^2 w)^3 = (-5)^3 (u^2)^3 (w)^3
(-5 u^2 w)^3 = (-5)(-5)(-5) u^(2 x 3) w^3
(-5 u^2 w)^3 = -125 u^6 w^3
what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)
Answers
The required values of x and y is 9 and -36, respectively. The correct answer is option a.
Given that the system of equations:
y = -3x - 9 (1)
y = (1/3)x - 39 (2)
Setting the two equations equal to each other since they both equal y:
-3x - 9 = (1/3)x - 39
⇒ -3(3x) - 3(9) = (1/3)(3x) - 39(3)
⇒ -9x - 27 = x - 117
⇒ -9x - x = -117 + 27
⇒ -10x = -90
⇒ x = -90 / -10
⇒ x = 9
Substitute the value of x back in the equation (1),
y = -3(9) - 9
⇒ y = -27 - 9
⇒ y = -36
Hence, the solution to the system of equations is x = 9 and y = -36. The correct answer is option a.
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please help me with another pre-calculus question!
Answers
Answer: c is less than zero (third choice)
The parent nth root function (n is some odd number) will look like this sideways S shape, or look like a rotated cubic curve shape. The vertical flat part of the nth root is normally at (0,0); however, it has been shifted down and to the left. Because it has been shifted down, this means c must be negative. The 'c' handles the up and down shifting, depending whether its positive or negative.
Final answer:
The question pertains to the Mathematics subject, specifically within the college-level coursework of precalculus and calculus, with a focus on problem-solving, series expansions, and statistical analysis.
Explanation:
The subject of the question provided falls under the category of Mathematics since it includes discussions of precalculus class scores, calculus problems, concepts of slopes, and statistical analysis regarding the pass rates of calculus courses. The given question pertains at the college level, addressing issues found in a first-year Calculus course (Math 1A and Math 1B). The precalculus scores are likely used to determine statistical measures, such as the mean or median of the data. Problem-solving suggestions hint at understanding mathematical functions and their power series expansions, which are topics covered in calculus. Strategies for solving integrated concept problems involve identifying relevant mathematical principles and applying them correctly.
The issue with the data from precalculus scores and calculus pass rates suggests application of statistical analysis and highlights the importance of accommodation for various mathematical representations, which could include analytical techniques.
Tom distributed chocolates among his friends Alex and kevin in the ratio 2:1. If he had 12 chocolates, how many did Kevin get?
Answers
Answer:
Step-by-step explanation:
Plz mark it as brainliest
In total, Tom has 3x number of chocolates (1x+2x), and if 3x=12, then x=12/3, or x=4. So if Kevin is getting 1x number of chocolates, he will get 4 chocolates, while Alex will get 8 (2*x=2*4=8)
!!!!Which ordered pair in the form of (x, y) are solutions to the equation 7x - 5y =28
Answers
Answer:
(-6,-14)
Step-by-step explanation:
ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1, -5), B = (2, 1), and C = (14, 17 ), what is the length of B'C'?
Answers
The dilation of ΔABC by a scale factor of 0.25 maps B to B' and C to C'. Using the distance formula, we find that the length of B'C' is 5 units.
Explanation:The problem is essentially asking for the length of line segment B'C' in the dilated triangle ΔA'B'C'. When an object undergoes a dilation by scale factor of 0.25, this means that every point x, y is mapped to 0.25x, 0.25y. So points B and C map to B' and C' as follows:
B(2, 1) --> B'(2*0.25, 1*0.25) = B'(0.5, 0.25)
C(14, 17) --> C'(14*0.25, 17*0.25) = C'(3.5, 4.25).
The length B'C' then equals the distance between B' and C', which can be found using the distance formula [tex]\sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]. So the calculation is [tex]\sqrt{(3.5 - 0.5)^2 + (4.25 - 0.25)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5 \text{ units}[/tex].
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Use elimination to find x-coordinate of the solution of the system 9x-8y=2 -3x-9y=-24
Answers
[tex]\left\{\begin{array}{ccc}9x-8y=2\\-3x-9y=-24&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}9x-8y=2\\-9x-27y=-72\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-35y=-70\qquad\text{divide both sides by (-35)}\\.\qquad\qquad\boxed{y=2}\\\\\text{Put the value of y to the second equation}:\\\\-3x-9(2)=-24\\-3x-18=-24\qquad\text{add 18 to both sides}\\-3x=-6\qquad\text{divide both sides by (-3)}\\\boxed{x=2}\\\\Answer:\ \boxed{x=2}[/tex]
Answer:
x coordinate is 2
Step-by-step explanation:
We have given,
9x - 8y = 2 .........(1)
-3x - 9y = -24 ...............(2)
We use elimination method to eliminate y.
We multiply equation (1) by 9 and equation (2) by 8.
We get,
{ 9x - 8y = 2} × 9 or 81x - 72y = 18 -------------(3)
{-3x - 9y = - 24} × 8 or -24x - 72y = -192 -----------(4)
And subtract equation (4) from equation (3)
So , (81x - 72y ) - (-24x -72y)= 18 -(-192)
or 105x = 210
or x = 210/105
or x= 2
Hence we get x coordinate as x= 2
Solve log4 (y – 9) + log4 3 = log4 81.
Answers
[tex]\text{Domain}\\\\y-9 > 0\to y>9\\\\------------------------\\\\\log_4(y-9)+\log_43=\log_481\qquad\text{use}\ \log x+\log y=\log(xy)\\\\\log_4[3(y-9)]=\log_481\qquad\text{use distributive property}\\\\\log_4(3y-27)=\log_481\iff3y-27=81\qquad\text{add 27 to both sides}\\\\3y=108\qquad\text{divide both sides by 3}\\\\\boxed{y=36}\in D\\\\Answer:\ \boxed{y=36}[/tex]
Answer:
y = 36
Step-by-step explanation:
log4 (y – 9) + log4 3 = log4 81.
We know from the property of logs that if the bases are the same, when we subtract logs, we can divide what is inside
loga (b) + loga (b) = loga (b*c)
Lets simplify the expression log4( (y-9)*3) = log4 (81)
Since the bases are the same, what is inside the parentheses on the left hand side must be equal to what is inside the parentheses o the right hand side
(y-9)*3 = 81
Divide each side by 3
(y-9)*3 /3= 81/3
y-9 = 27
Add 9 to each side
y-9+9 = 27+9
y = 36
Which answers describe the end behaviors of the function modeled by the graph? f(x)=4 1/3x+3 , Select each correct answer.
As x decreases without bound, f(x) approaches the line y=3 .
As x increases without bound, f(x) increases without bound.
As x increases without bound, f(x) approaches the line y=3 .
As x increases without bound, f(x) decreases without bound.
Answers
Answer:
As x decreases without bound, f(x) approaches the line y=3 .
As x increases without bound, f(x) increases without bound.
Step-by-step explanation:
From the given graph f(x), we can see that
When x increases the value of y also increases
When x decreases the y values goes close to 3 but it does not cross 3
As x goes to positive infinity , y approaches positive infinity
As x increases without bound, f(x) increases without bound.
As x goes to negative infinity, y values approaches +3
As x decreases without bound, f(x) approaches the line y=3
As x decreases without bound, f(x) approaches the line y=3 . As x increases without bound, f(x) increases without bound. Therefore, options A and B are correct answers.
The given function is f(x)=4 1/3x+3.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given graph f(x), we can see that
When x increases the value of y also increases
When x decreases the y values goes close to 3 but it does not cross 3
As x goes to positive infinity, y approaches positive infinity
As x increases without bound, f(x) increases without bound.
As x goes to negative infinity, y values approaches +3
As x decreases without bound, f(x) approaches the line y=3
Therefore, options A and B are correct answers.
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Please help!! I don’t know this.
Answers
Answer:
The answer is true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
help me and you get 40 points
Answers
Answer:
The angle 6 measures 54 degrees
Step-by-step explanation:
Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:
-2x + 34 = -9x -36
7x = -70
==> x = -10
Now we can answer the question: the angle 6 is
-2x + 34 = -2(-10)+34 = 54 degrees
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $8 that Jo makes. If Jo makes $32 profit on the first item they sell, how much profit does Leila make?
Leila will make $—- in profits.
Answers
I am a butterfly! Look at my wings! Lol.
Anyways. 8*4=32
5*4=20
Leila made $20
-TheOneandOnly003
Parabola,Can someone please help me please ?
Answers
Answer:
a. opens: downward
b. vertex: (4, 2)
c. x-intercepts: (2, 0), (6, 0); y-intercept: (0, -6)
d. a.o.s.: x = 4
Step-by-step explanation:
A:Based on the picture the parabola opens downwards. Right away you know that the "a" value in the parabola's equation will be negative.
B:To find the coordinates of the vertex, you'll need to look at the picture. Remember: look on the x-axis first and then the y-axis next.
The very top of the parabola (maximum point = vertex) is at the x-value of 4 and the y-value of 2. This means the coordinates of the vertex of this parabola is (4, 2).
C:To find the x-intercepts, look at the x-axis and see where the parabola crosses it. The parabola goes through the x-axis at the x-values of 2 and 6, so the x-intercepts of this parabola are (2, 0) and (6, 0).
To find the y-intercept, look at the y-axis and see where the parabola crosses it. The parabola intersects the y-axis at the y-value of -6, so (0, -6) would be the y-intercept.
D:The equation for the axis of symmetry of a graph is always x = h, where h is the x-value of the coordinate of the vertex.
Since the vertex is (4, 2), where 4 = h, the equation of the axis of symmetry would be x = 4.
PLEASE HELP!!!
A man spent two-thirds of his money and misplaced one-third of the remainder, leaving him with $22. How much money did he originally have?
REWARD 10 POINTS! SORRY ALL I HAVE!
NEED IT VERY FAST!
Thanks!
Answers
Final answer:
The man originally had $99. We determined this by setting up an equation based on the remaining amount after spending and misplacing portions of his money, then we solved for the original total.
Explanation:
To solve for the original amount of money the man had, let's call that amount x. First, he spent two-thirds of his money, which is (2/3)x. The remainder is x - (2/3)x = (1/3)x. He then misplaced one-third of this remainder which is (1/3) of (1/3)x = (1/9)x. So the portion he was left with is (1/3)x - (1/9)x = (2/9)x.
Since we know the final amount left is $22, we can express this as an equation:
(2/9)x = $22To find x, we will divide both sides of the equation by (2/9):
x = $22 / (2/9)When dividing by a fraction, we multiply by its reciprocal which is (9/2):
x = $22 * (9/2)x = $99Therefore, the man originally had $99.
HELP! 20 POINTS!
Please answer the questions on the picture!
Answers
What is answer I need it ASAP
Answers
Answer:
48 pages
Step-by-step explanation:
So Colton's rate of using pages is:
9 pages/3 hours = 3 pages per hour.
Thus, we can find out how many pages he uses after 16 hours by multiplying
3 pages × 16 hours, which equals to 48 pages of notes.
Hope this helps!
Can you evaluate (g ○ f)(0)? Explain why or why not.
Answers
Answer:
No you can't because just like multiplication, you cant divide anything by zero.
Step-by-step explanation:
You must evaluate the function f first. Division by 0 is undefined.
Therefore, The composition cannot be evaluated.
Answer:
sample answer on edg2020
Step-by-step explanation:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
If you deposit $1030 in an account that earns 6% interest compounded quarterly. Find the amount of money after 12 years.
Answers
Answer:
2072.56
Step-by-step explanation:
a=1030(1+0.06)^12
Answer:
$2072.60
Step-by-step explanation:
Every year you add on 6% so the multiplier will be 1.06
so start off:
1030 x 1.06 = 1091.8
1091.8 x 1.06 = 1157.308
.......... you repeat this 12 times for every year and the final answer is
2072.6562366
you take that answer and round it to 2072.60
Hope this helps :)
Given that (-5,1) is on the graph of f(x), find the corresponding point for the function f(5x)
Answers
Answer:-5*5=-25
Step-by-step explanation: If -5=x, since 1=y, then plug it in to the equation to get -25
Answer:
(-1,1) got it right on plato :)
Arezo borrowed $2,500 from her grandfather. This graph shows the balance remaining on Arezo’s debt after she makes each payment. Using this graph, how much will she owe after 4 payments?
Answers
Answer:
She will owe $500
Step-by-step explanation:
Answer:
She will owe $500 after 4 payments.
Step-by-step explanation:
With the help of graph
Number of payments (x) Balance remaining(y)
0 2500
1 2000
2 1500
Since it is linear function .
So, we will use two point slope form to find the equation for the given situation.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex] ----A
[tex](x_1,y_1)=(0,2500)[/tex]
[tex](x_2,y_2)=(1,2000)[/tex]
Substitute the values in A
[tex]y-2500=\frac{2000-2500}{1-0}(x-0)[/tex]
[tex]y-2500=-500x[/tex]
[tex]y=-500x+2500[/tex]
Where x is the number of payments
y is the remaining payment
This equation represents the given situation.
So, to find the amount remaining after 4 payments .Substitute x =4
[tex]y=-500(4)+2500[/tex]
[tex]y=-2000+2500[/tex]
[tex]y=500[/tex]
Hence she will owe $500 after 4 payments.
Can anyone help I’ll give you brainliest
Answers
Answer:
Interest for 1 year is $80.50
Step-by-step explanation:
Simple interest is given by the formula
I =PRT
where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.
P =3500
R=.023
T = 1 (1 year)
I = (3500) * (.023) (1)
I = 80.50
find the value of 2 numbers if their sum is 24 and their difference is 4?
Answers
Answer:
10 & 14
Step-by-step explanation:
10 + 14 = 24
14 - 10 = 4
find the unit rate 70 words per 2 minutes
Answers
Answer:
35 words per minute
Step-by-step explanation:
To find the unit rate, we divide the number of words by the number of minutes
70/2
35 words per minute
The unit rate of 70 words per 2 minutes is found by dividing the total words by the minutes, resulting in a unit rate of 35 words per minute.
To find the unit rate, we calculate the number of words that can be written or read per unit of time, which is usually one minute. Given 70 words per 2 minutes, we divide the number of words by the number of minutes to find the unit rate.
Step 1: Divide 70 by 2 to find the number of words per minute.
70 words / 2 minutes = 35 words per minute.
Therefore, the unit rate is 35 words per minute.
What is the solution to the system of equations
Answers
Hi, so your answer is the second one
What is the distance between points (2, −8) and (2, 7) on a coordinate plane?
Enter your answer in the box.
Answers
Answer:
15 points vertically.
Step-by-step explanation:
change -8 to 8, then add the 2 numbers in the y axis and you will get 15. brainliest?
424 calories in 3 servings unit rate, round to the nearest tenth or to the nearest cent, if necessary.
Answers
Rounded to the nearest tenth, the unit rate of calories per serving is approximately 141.3 calories.
How to find servings unit rate?To find the unit rate of calories per serving, divide the total calories (424) by the number of servings (3).
The unit rate is the amount of calories per serving. To find the unit rate, divide the total number of calories by the number of servings:
Unit rate = Total calories / Number of servings
Unit rate = 424 calories / 3 servings
Dividing 424 calories by 3 servings gives:
Unit rate = 424 / 3 ≈ 141.3 calories per serving
So, the unit rate of calories per serving is approximately 141.0 calories rounded to the nearest tenth or approximately 141.00 calories rounded to the nearest cent.
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How do you do 5-29?
Answers
Answer:
a: x=16 y=8
b. x=6 y=28
Step-by-step explanation:
Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation with a mean of 750 hours and a standard deviation of 75 hours. find the probability that a randomly selected light bulb will last between 750 and 825 hours.
Answers
The probability that a randomly selected light bulb will last between 750 and 825 hours is 34.13%. This is calculated through standardization of the desired range into z-scores, and reference to the standard normal distribution table.
Explanation:The question is about finding the probability that a randomly selected light bulb will last between 750 and 825 hours, given that the life of light bulbs is normally distributed with a mean of 750 hours and a standard deviation of 75 hours.
Firstly, standardize the desired range by subtracting the mean and dividing by the standard deviation. This will give us the z-score: Z = (X - μ) / σ. For X = 750, Z1 = (750 - 750) / 75 = 0. For X = 825, Z2 = (825 - 750) / 75 = 1.
We can then use the Z-table or standard normal distribution table to find the probability associated with these z-scores. Since the z-score for 750 is 0, the probability is 0.5 (or 50%, as it's the mean). For z=1, the probability is 0.8413 (or 84.13%).
The probability that the bulb will last between 750 and 825 hours is then calculated by subtracting the smaller probability from the larger one: 0.8413 - 0.5 = 0.3413 or 34.13%
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To find the probability, calculate the z-scores for the values and use the standard normal distribution table which is 34.13%
Explanation:To find the probability that a randomly selected light bulb will last between 750 and 825 hours, we need to calculate the z-scores for both values and then use the standard normal distribution table. The z-score is calculated using the formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. For 750 hours, the z-score is 0, and for 825 hours, the z-score is (825 - 750) / 75 = 1.
Using the standard normal distribution table, the probability corresponding to a z-score of 0 is 0.5, and the probability corresponding to a z-score of 1 is 0.8413.
Therefore, the probability that a randomly selected light bulb will last between 750 and 825 hours is 0.8413 - 0.5 = 0.3413, or 34.13%.
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find f (×-1) when f (×) =-3×+7. find f (x-1). what's the answer?
Answers
Answer:
[tex]f(x-1)=-3x+10[/tex]
Step-by-step explanation:
Substitute [tex]x-1[/tex] instead of [tex]x[/tex] into the function expression:
if [tex]f(x)=-3x+7,[/tex] then
[tex]f(x-1)=-3(x-1)+7=-3x+3+7=-3x+10.[/tex]
You get the expression [tex]f(x-1)=-3x+10.[/tex]
guys please give me the answer for this q it's so hard
Answers
Answer:
9/20
Step-by-step explanation:
1/3 * 3/5 * 2 1/4 =
1/3 * 3/5 * 9/4=
1/5 * 9/4 =
9/20
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
change the mixed number to an improper fraction
2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
We have to calculate
[tex]\frac{1}{3}[/tex] × [tex]\frac{3}{5}[/tex] × [tex]\frac{9}{4}[/tex]
simplify by cancelling the 3's on the numerator/denominator
then
= 1 × [tex]\frac{1}{5}[/tex] × [tex]\frac{9}{4}[/tex]
multiply the remaining values on the numerators /denominators
= [tex]\frac{9}{5(4)}[/tex] = [tex]\frac{9}{20}[/tex]