Answer:
Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Step-by-step explanation:
If 15/5 = 3
Then, all we have to do is 6/3=2.
So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Thanks
Eric recorded the total number of push-ups he did each minute for four minutes write the order number pairs as ordered pairs
Answer:
(1, 15), (2, 30), (3, 45), (4, 60)
Step-by-step explanation:
So the values are already given to you in the table, it's just a matter of turning them into ordered pairs. Ordered pairs are a set of numbers that represent a point on the coordinate plane. On the graph, the x-axis (horizontal) is for time and the y-axis (vertical) is for the amount of push-ups. An ordered pair is (x, y) so you put (amount of minutes, amount of push-ups). For how they're related, how many push-ups he did increases by 15 for every minute. So, the y-value increases by 15 when the x-value increases by 1.
A cloud directly above you is about 10° across. From the weather report, you know that the cloud is at an altitude of 2200 m. How wide is the cloud?
The width of the cloud is 12500 meters wide.
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.
tan 10 = opposite / adjacent
Therefore,
tan 10° = 2200 / a
cross multiply
a = 2200 / tan 10°
a = 2200 / 0.1763269807
a = 12500 meters
Therefore, the width of the cloud is 12500 meters .
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A business owner opens one store in town A. The equation p(x)= 10,000(1.075)^ 5 represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase at the same rate. Assume that the initial profit from the store in town B is the same as the initial profit from the store in town A. At any time after both stores have opened, how does the profit from the store in town B compare with the profit from the store in town A? 65% 96% 104% 154%
Answer:
It's 96%
Step-by-step explanation:
Just took the test
The profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are given that a business owner opens one store in town A. The equation p(x)= 10,000(1.075)^t represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase at the same rate.
We are asked to assume that the initial profit from the store in town B is the same as the initial profit from the store in town A and find the comparison between the profits from the store in town B to the store in town A.
We take the time for the store in town A as t1.
Then the time for the store in town B is t1 - 0.5, as store in town B is opened 6 months after the store in town A.
To compare the profits, we take the ratio of the profits from the stores.
= Profit from the store in town B/Profit from the store in town BA
= 10,000(1.075)^(t1 - 0.5)/10,000(1.075)^t1
= (1.075)^(t1 - 0.5 - t1)
= 1.075^(-0.5)
= 1/(1.075)^0.5
= 0.96448
= 96% (approx.)
Therefore, the profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.
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Why should you find out what kinds of damage are common in your area?
Answer:
Wind. “The most common source or cause of damage is wind-related,” Scott Humphrey, second vice president of risk control at Travelers, told TODAY Home. ...
Nonweather-Related Water. ...
Hail. ...
Weather-Related Water.
Theft.
hope i correct
Change 7 square yard to feet
I don't understand how the problem wants me to set up the equation, much less how to find the right answer.
The perimeter of a rectangular balcony is 32 feet. The balcony is 12 feet long. How wide is it?
Answer:
4 feet wide because to find the perimeter you add all the numbers around
find the perimeter of the figure. round to the nearest tenth. numbers only. do not label.
The perimeter of the figure, rounded to the nearest tenth is: 17.2 units.
What is the Perimeter of a Figure?Perimeter of a figure is the total length of all sides of the figure.
The distance formula, [tex]d = \sqrt{(x_2 - x_2)^2 + (y_2 - y_1)^2}[/tex], can be used to find the length of each segment of a figure on a coordinate plane.
Thus, we have:
A(0, 4)
B(4, 4)
C(1, 0)
D(4, 1)
Perimeter of the figure = AB + BC + CD + DA
AB = |4 - 0| = 4 units
BC = √[(1−4)² + (0−4)²]
BC = √25
BC = 5 units
CD = √[(1−4)² + (0−1)²]
CD = √10
CD = 3.2 units
DA = √[(0−4)²+ (4−1)²]
DA = √25
DA = 5 units
Therefore:
Perimeter of the figure = 4 + 5 + 3.2 + 5 = 17.2 units.
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what is the equation by looking at this graph y=-x+2, y=2x+2,y=x+3,y=x+2
Answer:
(32,92) and (−1,2)
Step-by-step explanation:
You have to equal the two Ys, meaning their values as well or you can find the value of the first x and then plug it in the second equation. There are many ways to solve this to.
The speed of hair growth for humans is about 1, centimeters per month. Susan's hair has grown 3 centimeters since the last time she got it cut. Let z be the number of months she has been growing her hair. Write a number model to show how many months she has been growing her hair. Then solve the problem.
Answer: z = 3
Step-by-step explanation: 1 centimeter = 1 month so 3 centimeter = 3 months
What does mean mean on sports teams
Answer:
Physical activy used for pleasure.
Step-by-step explanation:
It's just a meaning so I can't provide an explanation.
Find the discriminant and State of real and imaginary solutions.
9n^2 - 3n - 8= -10
-2x^2 - 8x -14= -6
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 9n^2-3n-8=-10\implies 9n^2-3n+2=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}n^2\stackrel{\stackrel{b}{\downarrow }}{-3}n\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex](-3)^2-4(9)(2)\implies 9-72\implies -63\leftarrow \stackrel{\textit{two \underline{imaginary} solutions}}{\textit{no real solution}} \\\\[-0.35em] ~\dotfill\\\\ -2x^2-8x-14=-6\implies -2x^2-8x-8=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{-8}{\downarrow }}{-8}=0\qquad \qquad \qquad \qquad (-8)^2-4(-2)(-8) \\\\\\ 64-64\implies 0\leftarrow \textit{one \underline{real} solution}[/tex]
Which of the following statements is true about the three quadrilaterals?
O E and Fare similar but not congruent.
O E and G are similar but not congruent.
O G and Fare similar and also congruent.
O E and G are similar and also congruent.
What is 0.666... in fraction FORM?
Simplify the expression
3.4n + 9.6 - 2.1n
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n + 9.6 - 2.1n
So you can rearrange it to make it visually easier (but it's not needed)
3.4n - 2.1n + 9.6
Subtract like terms
1.3n + 9.6
answer all of them and i will give brainlist i thought they were to hard
get them correct il give brainlist
Answer:
thought they were to hard
get them correct il give brainlist
50 points + brainliest
Choose A B C or D for problems 8, 9, 10, and 11
*No explanation needed*
TY:))))
Answer:
8. B.
9. B.
10. B.
11. No answer choices.
Step-by-step explanation:
Yes, they are all actually B. Hope this helps!
Answer: B, B, B
Step-by-step explanation: The last question has no answer choices shown.
[tex]\begin{gathered} \rm Prove \: that :- \\ { { \rm { f ( x ) = f ( 0 ) + \dfrac{x}{1!} f'(0) + \dfrac{x²}{2!} f''(0) + \dfrac{x³}{3!} f'''(0) + \cdot \cdot \cdot \cdot \cdot \cdot \cdot }}}\end{gathered}[/tex]
The series you had provided is generally the Maclaurin's series , and we want to prove the series , this series is very very much useful in calculus , especially when you have to substitute a function by it's series . So now let's start !
Consider the function f(x) as series of a polynomials of nth (n ≥ 1) degree as
[tex]{\boxed{\bf{f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}}}[/tex]
Now , at x = 0
[tex]{:\implies \quad \sf f(0)=a_{0}+a_{1}(0)+a_{2}(0)^{2}+a_{3}(0)^{3}+a_{4}(0)^{4}+\cdots \cdots \infty}[/tex]
[tex]{\boxed{:\implies \quad \sf f(0)=a_{0}}}[/tex]
Now , again consider the function that we assumed
[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]
Differentiating both sides w.r.t.x will yield
[tex]{:\implies \quad \sf f^{\prime}(x)=0+a_{1}\times 1+a_{2}\times 2\times x+a_{3}\times 3\times x^{2}+a_{4}\times 4\times x^{3}+\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]
Now , put x = 0 ;
[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}+2a_{2}(0)+3a_{3}(0)^{2}+4a_{4}(0)^{3}\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}}[/tex]
[tex]{\boxed{:\implies \quad \sf a_{1}=\dfrac{f^{\prime}(0)}{1!}}}[/tex]
Now , consider ;
[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]
Differentiating both sides w.r.t.x now ;
[tex]{:\implies \quad \sf f^{\prime \prime}(x)=0+2\times a_{2}\times 1+3\times a_{3}\times 2\times x+4\times a_{4}\times 3\times x^{2}\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime \prime}(x)=2a_{2}+6a_{3}x+12a_{4}x^{2}+\cdots \cdots \infty}[/tex]
Now , putting x = 0 will yield ;
[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}+6a_{3}(0)+12a_{4}(0)^{2}+\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}}[/tex]
[tex]{\boxed{:\implies \quad \sf a_{2}=\dfrac{f^{\prime \prime}(0)}{2!}}}[/tex]
Now , similarly we can prove that ;
[tex]{\boxed{:\implies \quad \sf a_{n}=\dfrac{f^{n}(0)}{n!}}}[/tex]
Now , as we had considered ;
[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]
Now , putting the values we obtained above ;
[tex]{:\implies \quad \sf f(x)=f(0)+\dfrac{x}{1!}f^{\prime}(0)+\dfrac{x^2}{2!}f^{\prime \prime}(0)+\dfrac{x^3}{3!}f^{\prime \prime \prime}(0)+\dfrac{x^4}{4!}f^{\prime \prime \prime \prime}(0)+\cdots \cdots \dfrac{x^n}{n!}f^{n}(0)+\cdots \cdots \infty}[/tex]
Hence , Proved
Simplify Expression:
3b+8b+9b
Answer:
20b
Step-by-step explanation:
3+8+9
3+8=11
9+11=20
3b+8b+9b
3b+8b=11b
11b+9b=20b
Answer:
Since they all have the same variable, you add them all together. so it would be 20b !!
Step-by-step explanation:
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $44,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly.
Answer:
$17,922.55
Step-by-step explanation:
The future value of a one-time investment is calculated using the formula ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
__
You have FV = 44000, r = 0.05, n = 12, t = 18, and you want to find P.
44000 = P(1 +0.05/12)^(12·18) ≈ 2.455008P
P = 44000/2.455008 = 17,922.55
The couple must deposit $17,922.55 in order to have $44,000 in 18 years.
_____
Additional comment
Some calculators, all spreadsheets, and a number of apps can make this calculation for you. All you must do is fill in the numbers.
What is the value of x if the angles are complementary?
1.) 35
2.) 20
3.) 25
4.) 15
Answer:
4.) 15
Step-by-step explanation:
90 - 75 = 15 which would be the answer.
Explain how you can use the Properties of Equality to solve the following equation:
72 = 5x + 2
Answer:
x=14
Step-by-step explanation:
subtract 2 from both of the sides
70=5x
divide each side by 5
x=14
NEED HELP ASAP WILL MARK BRAINLIEST Read the following scenario and answer the questions. Your manufacturing company incurs several costs to make the finished product, which are cans of eco-friendly paint. You purchase 100 empty cans at $2.00 each and 200 labels for the cans of paint at $1.00 each. You have two employees who bottle the paint into the cans and one additional employee who places a label on each can. You take a printout from your clock where the employees have entered their time and find that the wages due to these three employees is $2,000.00. You must also pay payroll taxes in the amount of $140.00 total for these three employees. A number of other costs incurred must be taken into consideration as well: depreciation on the factory machine of $150.00, utilities of $200.00, prepaid insurance of $600.00, and property taxes on your building of $2,000.00. Prepare the journal entries to record the purchase of the raw materials, the labor incurred, and the overhead incurred. Assume that $100.00 of the raw materials and $1,000.00 of the indirect materials were used. Prepare the journal entries to assign these materials to the jobs and overhead. Of the $2,140.00 in factory labor, $500.00 was attributed to indirect labor costs. Prepare the journal entry to assign the labor to jobs and overhead. You determine that direct labor cost is the activity base for determining the predetermined overhead rate. The following information is known about the estimated annual costs: overhead costs: $18,000.00 direct labor costs: $25,000.00 What is the predetermined overhead rate? What is the journal entry to assign overhead to jobs? Prepare the journal entry to transfer costs to Finished Goods. A sale of the goods takes place. The goods are sold for $5,000.00. Prepare the journal entry to record this sale.
Answer:
answer is 2.8 im not sure so check with another person mark me as brainliest
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
Find the area of this rectangle if ( L= 5 1/2) and (w = 3 1/2)
Answer:
A= 19 1/4
Step-by-step explanation:
to find the area of a rectangle, it would be LxW
so you would take 5 1/2 x 3 1/2. this would give you 19 1/4
Find the derivative of the function. f(x) = (tan5(x) + 2)^2
[tex]f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*\frac{d}{dx}(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)[/tex]
Hope that helps!
What is the domain and range of the function shown on the graph below
Answer:
C
Step-by-step explanation:
D: {-3,0,1,3}
R: {-5,-4,1,5}
a
An aircraft has just taken off from an airport, the
Formula for it heights above the ground (hm) after it has
travelled d m horizontally is h= 3/8(d-480), make d the subject of the formala.
Use your result to find d when h= 500m.
The value of d when h is 500m is approximately 1,813m
How to find the height of the aircraftGive the heights above the ground (hm) after it has dropped expressed as:
h = 3/8(d-480),
If h = 500m, then;
500 = 3/8(d - 480)
Cross multiply
500*8 = 3(d - 480)
4000 = 3(d - 480)
Expand to have:
4000 = 3d - 1440
3d = 5440
d = 1,813.3m
Hence the value of d when h is 500m is approximately 1,813m
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what is the result of converting 81 inches to feet
Answer:
81 inches is 6.75 feet
Step-by-step explanation:
hope this helps
Answer:
6.75
Step-by-step explanation:
Given;
81 Inches to Feet
Note;
Formula of Inches to Feet : divide the length value by 12
Solve;
81/12 = 6.75
Thus, Result of converting 81 inches to feet is 6.75
[RevyBreeze]
Write the equation of a line in slope intercept
form that has a slope of 5/8 and has a y-intercept
of 2.
Answer:
y=(5/8)x+2
Step-by-step explanation:
Equation of Line in Slope-Intercept Form is y=mx+c
where m is the Slope and c is the y-intercept
so for our Problem
m=5/8 and c=2
y=(5/8)x+2
Answer:
Step-by-step explanation:
The general equation is y = mx + b
The slope is m
and b is the y intercept.
Now all you need do is substitute the values given for m and b
m = 5/8 = 0.625
b = 2
Answer
y = 5/8 * x + 2 I think the decimal form is much clearer.y = 0.526x + 2Find the commission on a sale of $600 with a 5% commission rate.
$15
$30
$50
$45
Pls help me
Answer:
30
Step-by-step explanation:
5% of 600 is 30 so that should be ur answer