By setting up the equation and solving and simplifying the equation, the possible number of hours Frank can trim tree is 5.43 hours, round off the hour that will be 6 hours.
What is Algebraic simplification?Algebraic simplification is the process of rewriting an algebraic expression in a simpler form, without changing its value.
What is algebraic expression?An algebraic expression is a combination of numbers, variables, and arithmetic operations that can be evaluated to a specific numerical value.
let the required number of hours be h,
so setting up the equation,
7h + 9 = 47
Then we can subtract 9 from both sides to isolate h:
7h + 9 - 9 = 47 - 9
7h = 38
Dividing both sides by 7 gives us:
7h/7 = 38/7
h = 5.43
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On a string of lights there are 200 bulbs. After many years of use, 19 of them have burned out. Approximately what percentage of bulbs have burned out?
Answer:
8.5% (you can approximate that, that's the exact number and it isn't too funky)
Step-by-step explanation:
Percentage is out of 100, and over here we see that 200 is 2 times the amount of 100. So that means that if we divide 200 by 2, we get 100, which means we also divide 19/2 to get 8.5. That means, out of 100 light bulbs, 8.5 of them burned out. This is really easy to convert because the percentage is already out of 100, so you just make 8.5 into a percent which is 8.5%
Let me know if you have any questions.
Please help me!!!!!!
Answer:
t=5.25x
Step-by-step explanation:
since X equals the number of egg cartons sold then we would have to multiply that by how much one egg carton costs (5.25$ each)
so if they sold 3 egg cartons the equation would be t=5.25*3.
(putting a variable next to a number means your multiplying it)
I hope I explained that clearly enough :P
How long will an initial bank deposit of $10,000 grow to $23,750 at 5% annual compound interest?
Given:
P = $10000
r= 5%
Find:
we have to find the time for which initial bank deposit of $10,000 grow to $23,750 at 5% annual compound interest.
Explanation:
The formula for compound interest is
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05/1)] )
t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05)] )
t = 17.729 years
Summary:
The time required to get a total amount of $23,750.00 with compounded interest on a principal of $10,000.00 at an interest rate of 5% per year and compounded 1 times per year is 17.729 years.
(about 17 years 9 months)
dx Find an equation of the curve having all these properties. [3 points] . It is a solution to = 12x2 - 10. • The point (0,1) is a point of inflection. • The slope of the tangent line at (3,16.6)
The equation of the curve is `y = 4x³ - 10x + 1` and the slope of the tangent line at (3, 16.6) is 98.
A curve is a solution to `dy/dx = 12x² - 10`
Also, the point (0, 1) is a point of inflection and the slope of the tangent line at (3, 16.6).To find an equation of the curve having all these properties, we need to perform the following steps:
1: Integrate `dy/dx` to get `y`y = ∫(12x² - 10) dx = 4x³ - 10x + C where C is the constant of integration.
2: Find the value of `C` using the point (0, 1)Substitute x = 0 and y = 1 in the equation of `y`4(0)³ - 10(0) + C = 1C = 1
3: Therefore, the equation of the curve is `y = 4x³ - 10x + 1`
4: Find the derivative of the curve to find the slope of the tangent line. `y = 4x³ - 10x + 1`=> `dy/dx = 12x² - 10`
Therefore, the slope of the tangent line at x = 3 is `dy/dx` evaluated at x = 3.`dy/dx` = 12(3)² - 10= 98
Therefore, the slope of the tangent line at (3, 16.6) is 98
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4x+7y=19
y=x+9
substitution method
Answer:
Point Form: (-4,5)
Equation Form: x=-4,y=5
Step-by-step explanation:
Please give me brainiest!!!
What is the solution to this equation?
a/6-11=25
Answer:
a=216
Step-by-step explanation:
you are standing feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is stories tall and the average story is feet high, how far away from your hotel are you?
If your hotel is stories tall and the average story is feet high, the distance is 69 feet.
How to find the distance?We can solve this problem using similar triangles. Let's call the distance between you and your hotel "x".
First, we need to determine the height of the building in front of you. Since we know it is five stories tall, and the average story is 10 feet high, its total height is 5 * 10 = 50 feet.
Now, we can use the similar triangles formed by the buildings and your line of sight to set up a proportion:
x / (h + 50) = 60 / h
where "h" is the height of the five-story building, and "h + 50" is the total height of the building and its billboard.
We can cross-multiply to get:
x * h = 60 * (h + 50)
Expanding the right side, we get:
x * h = 60h + 3000
Subtracting 60h from both sides, we get:
x * h - 60h = 3000
Factoring out the h, we get:
h * (x - 60) = 3000
Dividing both sides by h, we get:
x - 60 = 3000 / h
Substituting in the known values, we get:
x - 60 = 3000 / (10 * 32)
Simplifying, we get:
x - 60 = 9.375
Adding 60 to both sides, we get:
x = 69.375
x = 69 feet
Therefore, you are approximately 69 feet away from your hotel.
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The complete question is:
you are standing 60 feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is 32 stories tall and the average story is 10 feet high, how far away from your hotel are you?
A right-angled triangle is shown below.
10 cm
0
Write tan as a decimal.
45 cm
46.1 cm
Not drawn accurately
Values given are approximate
Answer:
tan θ = 4.5
Step-by-step explanation:
tan = opposite/adjacent
The opposite of θ is 45 cm long
The adjacent of θ is 10 cm long
tan θ = 45 / 10 = 4.5
The solution is: the value of tan is : tan θ = 4.5.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Here, we have,
we know,
tan = opposite/adjacent
from the given diagram, we get,
given that,
The opposite of θ is 45 cm long
The adjacent of θ is 10 cm long
so, we get,
tan θ = 45 / 10
= 4.5
Hence, The solution is: the value of tan is : tan θ = 4.5.
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Hi, this is the real Coco Quinn and I would love it if u answer my question, you will be marked brainiest and you get 30 points!!!
The box plots show the lengths of the songs on two digital music players in minutes.
Which statement is best supported by the information in the box plots?
A- The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
B- The interquartile range of the data for Music Player X is equal to the interquartile range of the data for Music Player Y.
C- The median length of the songs on Music Player X is less than the median length of the songs on Music Player Y.
D- The median length of the songs on Music Player X is equal to the median length of the songs on Music Player Y.
Answer:
HI ther COCO QUINN i don't know you and never heard of you before in my life so the answer I got is D
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
Part 1: What is the rate of rice to quarts of water for this recipe that uses 4 pounds of rice and 5 quarts of boiling water?
Given:
A recipe uses 4 pounds of rice and 5 quarts of boiling water.
To find:
The rate of rice to quarts of water for this recipe.
Solution:
We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.
\(\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}\)
\(\text{Required rate}=\dfrac{4}{5}\)
\(\text{Required rate}=0.8\)
Therefore, the rate of rice to quarts of water for this recipe is 0.8.
Fill in the information missing in the table to the right by selecting the appropriate answer from the drop-down menu.
A
B
C
D
E
Answers:
1/5 - The intro is just words, read if you want.
2/5 - (queue graph one - says intro and final at bottom)
3/5 - 1, 2, and 4.
4/5 - (queue graph two - only says intro at bottom)
5/5 - 3 and 4.
*Side note: I'm telling which graph has the intro at the bottom so it is easier to figure out which is which.*
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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Which situation results in a final value of zero?
А. The temperature after a decrease of 5°F from a temperature of -5°F.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a
$20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters
below sea level.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
THE ANSWER IS A.
Step-by-step explanation:
What is the range of f/x )=( 3/4 x 4?.
The range of f(x) = 3/4ˣ - 4 is all real numbers greater than -4. I.e. (-4, ∞).
Given,
The function, f(x) = 3/4ˣ - 4
We have to find the range of the function;
Function;-
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Domain and Range of a Function;-
It is the collection of all potential function inputs. For instance: F(x) = x2 in the illustration below. The domain is the set of all the inputs, and the range is the set of all the outputs.
Here,
The function, f(x) = 3/4ˣ - 4
That is,
The range of f(x) = 3/4ˣ - 4 is all real numbers greater than -4. I.e. (-4, ∞).
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Answers anyone???
Hurry
Answer:
Its called math
Step-by-step explanation:
Which part of this statement is the conclusion?
If a > b and x > 0, then ax > bx.
O a>b
Ox>0
ax > bx
a>b and x > 0
The part of the statement which is the conclusion is; ax > bx
Statement premises and conclusions:In mathematics, the concept of mathematical induction is based on the statement of premises and conclusions subsequently.
On this note, in the statement given;
The premise given is;
If a > b and x > 0The conclusion is therefore;
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Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane xyz. Evaluate the first integral. Question content area bottom Part 1
Using triple integration, the volume of tetrahedron cut from the plane 2x + y + z = 4 is \(\frac{16}{3}\).
A tetrahedron is nothing but a three dimensional pyramid.
To find the volume of tetrahedron cut from the plane 2x + y + z = 4, we need to first take one of the three dimension as base. Let as take xy plane as base.
XY as plane implies z = 0, equation becomes 2x + y = 4. To find the limits of X and Y, we put y = 0.
Thus, 2x + 0 = 4 , implying, x = 2.
Thus the range of x is : [0,2]
Putting the value of x in the given equation, the range of y is [0, 4 - 2x]
Similarly, range of z becomes: [0, 4 - 2x - y]
Since z is dependent upon y and x, and, y is dependent on x, Therefore the order of integration must be z, then y and then x.
The volume of tetrahedron becomes:
\(=\int\limits^0_2 \int\limits^{4-2x}_0 \int\limits^{4-2x-y}_0 {1} \, dz \, dy \, dx \\\\=\int\limits^0_2 \int\limits^{4-2x}_0 4-2x-y \, dy \, dx \\\\=\int\limits^0_2[ (4-2x)y - \frac{y^2}{2}]^{4-2x}_0 dx\\ \\=\int\limits^0_2 (4-2x)^2 - \frac{1}{2} (4-2x)^2 dx\\\\\)
\(=\int\limits^2_0 {\frac{1}{2}(16+4x^2-16x )} \, dx \\\\=\int\limits^2_0(8+2x^2-8x)dx\\\\=[8x+\frac{2}{3} x^3-4x^2]^2_0\\\\=\frac{16}{3}\)
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The complete question is given below:
Use triple integration to find the volume of tetrahedron cut from the plane 2x + y + z = 4.
Graph the image of this figure after a dilation with a scale factor of 3 centered at (-7, -6).
Use the polygon tool to graph the dilated figure.
Polygon
+ Move
Undo
Redo
x Reset
у
10
9
8
7
6
5
4
3
2
US
Answer:
(0,6) (-2,5) (1,3)
Step-by-step explanation:
The dilation transformation gives an image that is similar to the pre-image but have a different size.
What is Scale Factor?A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.
We have,
scale factor = 3
and, centered at (-7, -6).
Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)
The given points relative to the center of dilation are;
(-7 - (-7), -3 - (-6)) = (0, 3)
(-3 - (-7), -2 - (-6)) = (4, 4)
(-4 - (-7), -5 - (-6)) = (3, 1)
and, after the dilation is
3 × (0, 3) = (0, 9)
3 × (4, 4) = (12, 12)
3 × (3, 1) = (9, 3)
Adding the coordinates of the center of dilation are
A' = (0 + (-7) , 9 + (-6)) = (-7, 3)
B' = (12 + (-7) , 12 + (-6)) = (5, 6)
C' = (9 + (-7) , 3 + (-6)) = (2, -3)
Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).
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Suppose you go to the grocery store and spend $92.54 for the purchase of 12 items. What is the mean price per item
Answer:
If its multiple choice then any number between 7 and 8 but closer the 8 should be the answer. If not, then I don't know
Step-by-step explanation:
92.54/12 = 7.71
The mean price per item is 7.712 $
What is average ?
It is calculated by dividing the sum of the values in a set by their number in order to determine the central or typical value in the set, particularly the mean, median, or mode.
It is given that the total amount spend on grocery store is 92.54$ for purchasing 12 items in total and to find the mean that is average price per item we divide the total amount by number of items :
mean price per item = total amount spend on grocery/ total number of items
mean = 92.54$/ 12
= 7.712 $
Therefore, the mean price per item is 7.712 $
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WILL MARK BRAINLIST !!
Find the value of xº from the given figure applying the activity.
Answer:
total inner angle of quadrilateral is 360 so
66 is remaining angle.
Please mark me as brainlist answer.
You has promised. Don't broke promise that you will give brainlist answer.
Answer:
The sum of the interior angle of a quadrilateral is given by the formula
(n-2)×180°
n represent the number of sides
(4-2)×180°
2×180°
=360°
then equate the angle to 360°
order from greatest to least : 0.275;0.2;0.572;0.725
Answer:
0.725, 0.572, 0.275, 0.2
Step-by-step explanation:
All you have to do is look at the values of each number and see which one is high than the other (i.e. 0.725 is greater than 0.572 when you look at the tenth decimal digit)
Help please, I don't understand this. And Im being timed
Answer:
3rd choice
No, it is NOT a linear function because the variable x is in the denominator. x will be multiplied by y.
Round 5.80405471744 to the nearest thousandth.
Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.
We have the following number - 5.80405471744
We have to round it off to the nearest thousandth.
Explain the rules for rounding any number?The rules are as follows -
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 4.774 to nearest tenth is 4.8.If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 4.714 to nearest tenth is 4.7.According to question, we have -
Number = 5.80405471744
We have to round it off to nearest thousand, which means we have to keep three digits after decimal. Therefore -
Rounded Number = 5.804 (Using the rule 2)
Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.
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help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
This question is from my final exam review:
Let n be a randomly selected integer from 1 to 15. Find P(n < 10 | n is prime). Round to the nearest hundredth and put your answer as a DECIMAL. So, if your answer is 37%, then put .37 in the answer box.
The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).
To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.
The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.
The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).
As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.
Thus, 0.67 is the answer.
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A triangle has angle measures 23° and 35°. What is the measure of the third angle?
Answer:
122°
Step-by-step explanation:
All triangles have a total of 180°.
Angle 1 will be X
Angle 2 will be Y
Angle 3 will be z
180 - (x + y) = z
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
\((x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7\)
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
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BTW, Time/Space Complexity? public static int quandary2(int N ) \{ if (N== 1) \{ return 1; 3 return quandary 2( N/2)+ quandary 2( N/2) 3
The time complexity of the given code can be analyzed by considering the number of recursive calls and the work done in each call. The space complexity is O(1).
In the code snippet provided, the function quandary2 takes an input parameter N and performs a recursive operation.
If N is equal to 1, the function returns 1. Otherwise, it makes two recursive calls to quandary2, passing N/2 as the argument for each call. The results of the recursive calls are then added together and returned.
The time complexity of this code can be described by the recurrence relation:
T(N) = 2T(N/2) + O(1)
This recurrence relation represents the fact that the function makes two recursive calls on inputs of size N/2, and the O(1) term represents the constant amount of work done within each function call (excluding the recursive calls).
By applying the Master Theorem, we can determine that the time complexity of this code is O(N), as it falls into the case of the Master Theorem where a = 2, b = 2, and k = 0.
Regarding space complexity, the code does not use any additional data structures or allocate memory dynamically. The space complexity is therefore O(1), as the space usage remains constant regardless of the input size.
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HELP ME WITH THIS PLEASE
Answer:
The dime section does not belong. If you add it together it equals 50, while the others all equal/ add up to 25.
Simplify the expression 11+2/3(15-21a)
Answer:
21-14a
Step-by-step explanation:
You have to distribute the (2/3) into the (15-21a) then add it to the 11. So after distributing the (2/3) into the (15-21a) is (10-14a). Then add that to the 11
Answer:
-14a + 21
Step-by-step explanation:
11 + 2/3(15 - 21a)
Expand brackets.
11 + 2/3(15) + 2/3(-21a)
11 + 30/3 + -42/3a
Evaluate.
11 + 10 + - 14a
21 + - 14a