Answers
Answer:
e(as in variable)=1/7x+2, e(as in euler)=2.388326
Step-by-step explanation:
2.718282
7
+181−179
=2.388326
Related Questions
In one day, a book store earned $199 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the next day, it earned $152 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?
Answers
Answer:
The cookbook costs $36 per copy while the science fiction costs $11 per copy
Step-by-step explanation:
Here in this question, we are interested in calculating the price of the cookbook and the price of the science fiction novel.
Since we do not know the price of each, we start by assigning variables to stand in for these unknown prices.
Let the price of the cookbook be $x , while the price of the science fiction be $y
Now, on the first day, 4 copies of the cookbook and 5 copies of the fiction;
mathematically that would be 4 * x and 5 * y
We add both and sum to be $199
Thus we have;
4x + 5y = 199 ••••••••••(i)
On the second day;
3 copies of cookbook 3 * x = 3x with 4 copies of science fiction 4 * y
Adding both yielded 152;
Thus, we have ;
3x + 4y = 152••••••••••(ii)
So we need to solve both equations simultaneously to get the values of x and y
4x + 5y = 199
3x + 4y = 152
Multiply equation i by 3 and equation ii by 4
3 * 4x + 5y = 199
4 * 3x + 4y = 152
12x + 15y = 597
12x + 16y = 608
Now, subtract multiplied equation ii from multiplied equation i
(12x-12x) + (15y-16y) = (597-608)
-y = -11
y = 11
To get x, simply substitute in any of the equations;
let’s use equation 1
4x + 5y = 199
4x + 5(11) = 199
4x + 55 = 199
4x = 199-55
4x = 144
x = 144/4
x = 36
How many solutions are there for the system of equations shown on the graph?
Answers
Answer:
Hey there!
These lines only intersect at one point, so there is only one solution.
Let me know if this helps :)
Answer:
one solution
Step-by-step explanation:
The solutions are where the graphs intersect
There lines cross at one point (0,3), so there is one solution
27.2163 rounded to the nearest hundredth
Answers
Answer:
27.0000
Step-by-step explanation:
27.2163 rounded to the nearest hundredth is 27.0000 or 27 because the hundredth place held a 1 and 5 or above rounds up and 4 or below rounds down. The .2163 turned into zeros because the second number (the hundredths place) was a 1 so it rounded down, and hen it rounds down, all the numbers round to 0.
A common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger.a. Trueb. False
Answers
Answer:
True
Step-by-step explanation:
The given statement is true as a common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger. An account's receivable subsidiary ledger is an accounting ledger that shows the transaction and payment history of each customer to whom the business extends credit.
Perform the indicated operation(s). Write your answer in lowest terms.
7/10÷7/4 = ???
Answers
Answer:
76/86
Step-by-step explanation:
Answer:
76/86 is the answer it is the lowest term
Find the mass of the lamina described by the inequalities, given that its density is rho(x, y) = xy. 0 ≤ x ≤ 2, 0 ≤ y ≤ 2
Answers
Answer: Mass of lamina = 4
Step-by-step explanation: A lamina is a plate in 2 dimensions, described by the plane it covers and its density function, [tex]\rho(x,y)[/tex].
To determine mass of the lamina:
mass (M) = [tex]\int {\int\limits_D \rho(x,y) \, dA[/tex]
where D is region bounded by the axis.
For the question:
M = [tex]\int\limits^2_0 {\int\limits^2_0 xy \, dy \,dx[/tex]
Calculating the double integral:
M = [tex]\int\limits^2_0 { x\frac{y^{2}}{2} \,dx[/tex]
M = [tex]\int\limits^2_0 { x(\frac{2^{2}}{2}-0)} \,dx[/tex]
M = [tex]\int\limits^2_0 { 2x} \,dx[/tex]
M = [tex]\frac{2.2^{2}}{2} - 0[/tex]
M = 4
The mass of lamina is 4 units.
Convert 2.54 x 10^6 into standard notation
Answers
() and () are inverses of one another and drawn on the same graph with the same scale on both the horizontal and vertical axis. Which of the following would be true?
A.
By reflecting the entire coordinate grid over the line =, () would land on ().
B.
() is the same as (), translated up 3 units.
C.
By rotating () 90° clockwise around the origin you would get ().
D.
By rotating () 180° clockwise around the origin you would get ().
Answers
Answer: Option A.
Step-by-step explanation:
We have the functions f(x) and g(x), that are inverses between them.
This means that if:
f(x) = y
then:
g(y) = x.
now, remember that:
When we have a point (x, y), and we reflect it over the line y = x, our new point will be (y, x).
So before we whe had:
f(x) = y.
and now in that same place, we have:
g(y) = x.
So the old graph of f(x) now coincides with the graph of g(x). (And the old graph of g(x) now coincides with the graph of f(x) )
So A is true.
B) This depends on the function:
if we have f(x) = x + 1.5
then f(0) = 1.5
now we want that:
g(1.5) = 0, then we can write:
g(x) = x - 1.5
Now f(x) and g(x) are inverses, and we would have that:
f(x) = g(x) + 3.
So f(x) is g(x) translated up by 3 units, but this is a particular case, not a general one, so B is not always true.
C and D) When we do rotations of 90° or 180°, we are effectively changing the quadrant of our point. so rotations will cause not only changes as the reflection over the x = y line, those will also cause changes in the sign of our variables, so, while for some functions f(x) and g(x) we can have that the rotations will map one into the other, this is not the general case.
Is 0.4/0.8 rational or irrational ?
Answers
Answer:
[tex]\Huge \boxed{\mathrm{ Rational }}[/tex]
Step-by-step explanation:
Rational numbers can be expressed as fractions with whole numbers as the numerator and the denominator.
[tex]\displaystyle \frac{0.4}{0.8}[/tex]
Multiply both the numerator and the denominator by 10.
[tex]\displaystyle \frac{4}{8} =\frac{1}{2}[/tex]
The result is a simplified fraction with both the numerator and the denominator being whole numbers. The result is rational.
How do you find slopes at specific points with tangent functions??
Answers
Step-by-step explanation:
The slope of the tangent line of a function f(x) is the derivative, f'(x).
Here, we can use exponent rule to find the derivatives:
If y = xⁿ, then y' = nxⁿ⁻¹.
7. g(x) = x²
g'(x) = 2x
g'(2) = 4
8. g(x) = x² − 4x
g'(x) = 2x − 4
g'(1) = -2
9. g(x) = 5/(x + 3)
g(x) = 5 (x + 3)⁻¹
g'(x) = -5 (x + 3)⁻²
g'(-2) = -5
Use the frequency distribution shown below to construct an expanded frequency distribution.
High Temperatures (°F)
Class
16-26
27-37
38-48
49-59
60-70
71-81
82-92
Frequency, f
17
45
66
67
82
66
22
Answers
Answer and Step-by-step explanation:
The calculation of midpoints, relative frequencies and cumulative frequencies are shown below:-
For Midpoint = [tex]\frac{Lower\ limit\ +\ Upper\ limit}{2}[/tex]
For Relative frequency = [tex]\frac{Frequency}{Total\ number\ of\ frequency}[/tex]
Class Frequency Midpoints Relative Cumulative
frequency frequency
16-26 17 21 0.047 0.047
27-37 45 32 0.123 0.17
38-48 66 43 0.181 0.351
49-59 67 54 0.184 0.535
60-70 82 65 0.225 0.76
71-81 66 76 0.181 0.941
82-92 22 87 0.060 1.001
Total 365
Therefore for computing the cumulative frequency we simply added relative frequency with previous cumulative frequency for class 27-37 and in the same manner of every class.
The rate at which something occurs over a particular period of time or in a given sample:
"An increase in the frequency of accidents due to increased overtime"
GivenUse the frequency distribution shown below to construct an expanded frequency distribution.
The formula to calculate the midpoint and relative frequency are given below.
[tex]\rm Midpoint = \dfrac{Lower \ limit + Upper \ limit }{2}[/tex]
[tex]\rm Relative \ frequency = \dfrac{Frequency}{total \ frequency}[/tex]
The frequency distribution to construct an expanded frequency distribution is given below.
Class Frequency Midpoints Relative frequency Cumulative frequency
16-26 17 21 0.047 0.047
27-37 45 32 0.123 0.17
38-48 66 43 0.181 0.351
49-59 67 54 0.184 0.535
60-70 82 65 0.225 0.76
71-81 66 76 0.181 0.941
82-92 22 87 0.060 1.001
Total 365
To know more about Frequency click the link given below.
https://brainly.com/question/17740069
What two factors of 24 have a sum of 11
Answers
Answer:
8 and 3
Step-by-step explanation:
8+3=11
8*3=24
The water level at a local pier rises and falls with the tide. Yesterday, the maximum depth of the water
at the pier was 8 feet, and the minimum depth was 4 feet. High tide occurred at 12:00 AM and low tide
occurred at 12:20 PM. Which function models the depth, in feet, of the water at the pier yesterday, as a
function of time t in minutes past high tide?
Answers
Answer:
The function is [tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]
Step-by-step explanation:
From the question we are told that
The maximum depth is [tex]d = 8 \ ft[/tex]
The minimum depth is [tex]d_i = 4 \ ft[/tex]
Generally the average depth is mathematically represented as
[tex]d_a = \frac{8 + 4}{2}[/tex]
=> [tex]d_a = 6 \ ft[/tex]
Generally the amplitude is mathematically represented as
[tex]A = d - d_a[/tex]
=> [tex]A = 8 - 6[/tex]
=> [tex]A = 2[/tex]
Generally the period is 24 hours given that the the interval between the maximum depth and the minimum depth is half a day
Generally the period is mathematically represented as
[tex]T = \frac{2 \pi }{w}[/tex]
here w is the angular frequency
So
[tex]w = \frac{2 \pi}{24}[/tex]
[tex]w = \frac{\pi}{12}[/tex]
Generally the depth can be modeled with a sin function as follows
[tex]D = Acos (wt) + d_a[/tex]
Now from co-function identity we have that [tex]for \ cos (z) = sin (\frac{\pi}{2} - z)[/tex]
So
[tex]D = Asin ( \frac{\pi}{2} - wt) + d_a[/tex]
[tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]
The function that models the depth, in feet, of the water at the pier yesterday, as a function of time t in minutes past high tide is; D = 2 sin((π/2) - (π/12)t) + 6
We are given;
Maximum depth; d2 = 8 ftMinimum depth; d1 = 4 ftThus;
Average depth; d = (d1 + d2)/2
d = (4 + 8)/2
d = 6 ft
Now, to find the amplitude, we will just subtract the minimum depth from the maximum one to get; A = d2 - d1
A = 8 - 6
A = 2 ft
Now, the period T is a whole day which is 24 hours and so we can find the angular frequency ω from the formula;
ω = 2π/T
Thus;
ω = 2π/24
ω = π/12
Now, the general formula for the depth function is given as; D = A sin(π/2 - ωt) + dWhere;
d_i is average depth
Thus;
D = 2 sin((π/2) - (π/12)t) + 6
Read more about sinusoidal functions at; https://brainly.com/question/2410297
f(x)=x2–5x+7, find f(3)
Answers
Answer:
[tex]f(3) = 1[/tex]Step-by-step explanation:
f(x) = x² - 5x + 7
To find f(3) substitute the value of x that's 3 into f(x) that's replace every x in f (x) by 3
We have
[tex]f(3) = {3}^{2} - 5(3) + 7 \\ = 9 - 15 + 7 \\ = - 6 + 7[/tex]We have the final answer as
[tex]f(3) = 1[/tex]Hope this helps you
Which expression is equivalent to 9^36/9^3 ? A) 1/9^12 B) 9^33 C) 9^12 D) 9^39
Answers
Answer:
[tex]\huge\boxed{\dfrac{9^{36}}{9^3}=9^{33}\to\mathbb{B)}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m},\ \text{for}\ a\neq0.\\\\\text{We have}\ \dfrac{9^{36}}{9^3}=9^{36-3}=9^{33}[/tex]
Janet gets paid $24 per hour . She heard that this is 3/4 of what Adam is paid. How much is Adam paid per hour
Answers
Answer:
$32
Step-by-step explanation:
24/3= 8
8x4= 32
Adam gets paid $32 per hour
The amount Adam paid per hour is $32.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Janet:
Paid per hour = $24
Adam:
Paid per hour = $32
This means,
3/4 = $24
Multiply 4/3 on both sides.
1 = 4/3 x 24
1 = $32
Thus,
Adam paid $32 per hour.
Learn more about fractions here:
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In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!!! i will mark brainliest for first answer
Answers
Answer:
m<B = m<C = 55
Step-by-step explanation:
Since those two sides are congruent, the base angles are congruent.
m<B = m<C = x
m<A + m<B + m<C = 180
70 + x + x = 180
2x + 70 = 180
2x = 110
x = 55
m<B = m<C = 55
Solve for x: |4x + 12| = 16 (5 points) x = 7, x = −7 x = 1, x = −1 x = 1, x = −7 x = −1, x = 7
Answers
Answer:
x =1 x = -7
Step-by-step explanation:
|4x + 12| = 16
Absolute value equations have two solutions, one positive and one negative
4x+12 = 16 4x+12 = -16
Subtract 12 from each side
4x+12-12 = 16-12 4x+12-12 = -16-12
4x =4 4x =-28
Divide by 4
4x/4 = 4/4 4x/4 = -28/4
x =1 x = -7
3(3x-2)=39
Solve equation
Answers
when bisecting an angle, one of the steps is to draw an arc centered on a point on a ray of the angle. in particular this angle is to be drawn on the interior of the angle, why must The Arc be drawn in the interior of the angle?
Answers
Step-by-step explanation:
The arc drawn must be in the interior side of the angle to be bisected because while constructing the angular bisector, we make an arc cutting both the rays of the angle, so in order to cut the angle in to two equal part, we should make arcs in the interior part of the angle subtended so that it bisects the angle in two equal parts.
Order the expressions from least to greatest.
3^2
2^3– 2^1
2^1+3^1
Answers
Answer:
2¹+3¹ , 2³ -2¹ , 3²
Step-by-step explanation:
to know the magnitude of the value of each expression 3² =9 ,
2³ -2¹ =8-2=6
2¹ +3¹ = 5
Based on the graph which statement is true
A. He needs1 cup of flour for 1 batch
B. He needs 1 cup of flour for 8 batches.
c. He needs 4 cups of flour for 8 batches
He needs 6 cups of flour for 3 batches
How many flour cups are needed per batch of cookie?
1
1.5
2
2.5
Answers
Answer:
D. He needs 6 cups of flour for 3 batches
Find the value of x please help ASAP picture below
Answers
Answer:
7
Step-by-step explanation:
Because these two triangles share an angle and their corresponding sides are parallel, they are similar.
So, we can set up a proportion relating corresponding sides:
10 / (10 + 8) = (3x - 6) / (3x - 6 + 12)
10/18 = (3x - 6) / (3x + 6)
Cross-multiply:
18 * (3x - 6) = 10 * (3x + 6)
54x - 108 = 30x + 60
24x = 168
x = 168/24 = 7
The answer is 7.
~ an aesthetics lover
A biologist measured the length and mass of 20 reptiles. The equation y=0.3x - 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, is grams. Based on the equation what is the approximate length of a reptile that has a mass of 20.5grams
Answers
Answer:
It should be 75 cm if we're taking the same test.
Step-by-step explanation:
y=0.3x-2
20.5=0.3(75)-2
0.3*75=22.5
22.5-2=20.5
20.5=20.5
Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.
-------------
The mass y, in grams, of a reptile with length of x centimetres is given by:
[tex]y = 0.3x - 2[/tex]
-------------
Mass of 20.5 grams means that [tex]y = 20.5[/tex]The length for this reptile is found solving the line of best-fit for x, thus:[tex]y = 0.3x - 2[/tex]
[tex]20.5 = 0.3x - 2[/tex]
[tex]0.3x = 22.5[/tex]
[tex]x = \frac{22.5}{0.3}[/tex]
[tex]x = 75[/tex]
The approximate length of the reptile is of 75 centimetres.
A similar problem is given at https://brainly.com/question/24141057
A right triangle has the following vertices (7,-3), (4,-3), (4,9) find the area of a right triangle
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
36 square units
. Suppose the coordinate of A is 0 and AR = 5 and AT = 7.
a. What are the possible coordinates of R? Of T
Answers
==================================================
Explanation:
If we're on a number line, then R could be at either R = 5 or R = -5. This is so the distance from A to R is 5 units. Distance is never negative. You count out the spaces to get the distance, or use subtraction and absolute value.
Saying "distance from A to R is 5" can be written as AR = 5. Meaning segment AR is 5 units long.
Now if AT = 7, then T could be at 7 or -7 on the number line. The reasoning as similar as to why R could be at -5 or 5.
(0.003s^2 +0.075 -0.027)•0.2
Answers
Answer:
0.0006s2+0.0096
Step-by-step explanation:
The length of a rectangle is shown below: (look at the picture) If the area of the rectangle to be drawn is 12 square units, where should points C and D be located if they lie vertically below the line that connects B and A, to make this rectangle? C(−2, −1), D(1, −1) C(−2, −4), D(1, −4) C(−2, −2), D(1, −2) C(−2, −5), D(1, −5)
Answers
================================================
Explanation:
The distance from B to A, or vice versa, is 3 units. You can count out the spaces between the points, or you could subtract the x coordinate values then use absolute value
|B - A| = |-2-1| = |-3| = 3
or
|A - B| = |1-(-2)| = |1+2| = |3| = 3
Whichever method you prefer, the distance between the two points is 3 units.
----------
The area of the rectangle is 12 square units, and we know one dimension of the rectangle is 3 units. The other dimension must be 12/3 = 4 units.
Point C is directly below point B. Specifically C is 4 units below B.
Start at B(-2,2) and move down 4 units to get to C(-2,-2). Then move to the right 3 units to get to D(1,-2)
Or you could start at A(1,2) and move 4 units down to get to D(1,-2) and then move 3 units to the left to get to C(-2,-2)
Answer:
Answer choice = B - C(−2, −4), D(1, −4)
If x, y, and z are positive integers such that xyz+30xy+21xz+2yz+105x+10y+7z=812, find x+y+z.
Answers
Answer:
x= 2, y= 2, and z= 6
Step-by-step explanation:
If this is a Diophantine equation, add 35 to both sides and factor the left:
(3x+1)(2y+7)(z+5) = 847 = 7 times 112
Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.
For example:
847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.
If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).
:)
Diego plans to save the same amount of money for 10 weeks.He wants to buy a new hammock for $65 and a sleeping bag for $105. how much money should he save each week to buy both items?
Answers
Answer: 17 per week
Step-by-step explanation:
10 weeks = 70 days
105 + 65 = 170
107 / 70 = 2.42857142857
2.42857142857 x 7 days = $17