The data set which would be best represented by a line graph is; Choice j: The change in population of a particular city over the last 100 years.
Which is best represented by a line graph?It follows from the task content that the data set which is best represented by a line graph is.to.he identified.
On this note, since choice J measures the change in a dependent quantity, population according to a change in the independent variable, time.
Consequently, choice J is best represented by a line graph.
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How do I solve for this?
dy/dx =yx(x + 3)
Answer:
[tex]{ \tt{ \frac{dy}{dx} = yx( x + 3)}} \\ \\ { \tt{ \frac{dy}{y} = \frac{x(x + 3) \: dx}{1} }} \\ \\ { \tt{ \int \frac{dy}{y} = \int( {x}^{2} + 3x) \: dx }} \\ \\ { \tt{ ln(y) = \frac{ {x}^{3} }{3} + \frac{ {3x}^{2} }{2} + c }} \\ \\ [/tex]
b(n)=−4−2(n−1)
What's the 12th term in the sequence?
The 12th term in the sequence is -26.
Given,
B (n) = -4 – 2(n – 1)
We have to find the 12th term in the sequence:
To find the nth term in an arithmetic sequence:
An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
Here,
First term, a = -4
Common difference, d = -2
nth term = 12
Now, let’s find 12th term
B(n) = -4 -2(n – 1)
B(12) = -4 – 2(12 – 1)
B(12) = -4 -2(11)
B(12) = -4 -22
B(12) = -26
That is, the 12th term in the sequence is -26.
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URGENT PLEASE HELP ‼️
After investing a sum of money for 10 years a person accumulated $84 200. The simple interest earned from the investment was $24 600.
(a) What was the initial sum of money invested?
(b) What was the percentage rate of return per annum on the investment?
Answer- A) 59,600 ; B) 4.12% per year.
Explanation
84,200 minus 24,600 is 59,600. This means the originally cost put into the account was 59,600.
Next we have to divide the amount of interest earn into the number of years that the amount was accumulated. 24,600 divided by 10 is 2460. This means that each year 2,460 were earned in interest. 59,600 divided into 2,460 is 0.0412751678. This rounds to .0412 If we move our decimal to a percentage this leaves us with 4.12% This means that annual interest on the investment is 4.12%
Hope this helps! Good Luck!
-1/2+1/9 it's supposed to be fractions but I can't figure out how to do it on here
Answer:
-7/18
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
( -1/2 × 9/9) + (1/9 × 2/2) = ?
Complete the multiplication and the equation becomes:
-9/18 + 2/18 = ?
Then:
-9+2/18 = -7/18
Therefore:
-1/2 + 1/9 = -7/18
A television and DVD player cost a total of $1290. The cost of the television is two times the cost of the DVD player. Find the cost of each of them
What is the answer to
Sec 30° cos 30
Answer:
sec 30° + cos 30°
Important trigonometric values
Calculation:
sec 30° + cos 30°
⇒ 2/√3 + √3/2
⇒ (4 + 3)/2 √3
⇒ 7√3/6
∴ 7√3/6
A Mathematical fest was conducted in a school by a group of students. School's principal gave them the budget of ₹32000. They spend 1/4 of the budget on food stalls; 3/10 of the remainder on games and activities and 5/21 of the remainder on gift distribution event. How much money is still left with them?
The amount of money left with them is $12,800.
How much money is left?The first step is to determine the amount left after 1/4 of the budget is spent on food stalls.
Budget left : (1 - 1/4) x amount of budget
(1 - 1/4) x 32,000
3/4 x 32,000 = 24,000
The second step is to determine how much of the budget is left after spending on games and activities :
(1 - 3/10) x 24,000
7/10 x 24,000 = 16,800
The third step is to determine how much is left after spending the remainder on gift distribution
(1 - 5/21) x 16,800
16/21 x 16,800 = $12,800
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passes through (-2,1) perpendicular to y = 4x -11
The equation of a line which is perpendicular to [y = (4x - 11)] and passes through the point (-2, 1) will be [(4y + x) = 2].
As per the question statement, a line is perpendicular to [y = (4x - 11)] and passes through the point (-2, 1).
We are required to determine the equation of the above mentioned line.
Now, we know that, the standard equation of a line goes as [y = (mx + c)] where, "m" is the slope of the line while "c" is the y-intercept.
Comparing [y = (4x - 11)] to the standard form, we can identify that (m = 4), i.e., slope of the given line is 4.
Since the products of the slopes of two perpendicular lines is (-1), and considering the slope of our required line to be "m₁", we can say that,
[tex]4*m_{1}=(-1)\\ or,m_{1}=\frac{-1}{4}[/tex]...[since our required line is perpendicular to [y = (4x - 11)]
and slope of [y = (4x - 11)] is 4]
That is, slope of our required line is [tex](\frac{-1}{4})[/tex].
Another concept we need to know about forming the equation of a line is that, the equation of a line can be written as [tex][(y-y_{1})=m(x-x_{1})][/tex], if the line passes through the point (x₁, y₁).
Here, our concerned line passes through the point (-2, 1) and has a slope of [m = [tex](\frac{-1}{4})[/tex]].
Therefore, equation of our concerned line can be written as
[tex](y-1)=(\frac{-1}{4})[x-(-2)]\\or,(y-1)=(\frac{-1}{4})(x+2)\\or,(y-1)=(\frac{-x}{4})+(\frac{-1}{4}*2)\\ or,(y-1)=(\frac{-x}{4})+(\frac{-1*2}{4})\\or,(y-1)=(\frac{-x}{4})+(\frac{-1}{2})\\or,y=(\frac{-x}{4})+1+(\frac{-1}{2})\\or,y=(\frac{-x}{4})+(1-\frac{1}{2})\\or, y=(\frac{-x}{4})+\frac{1}{2}\\or,4y=(-x)+2\\or,4y+x=2[/tex]
Line: In geometry, a line is an one-dimensional figure with infinite length and no width, depth, or curvature.To learn more about Lines, click on the link below.
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Enter the sum of numbers as a product of their GCF and another sum
25 + 35
The sum of the numbers as a product of their GCF is ___ x ( ___ + ___)
The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 ).
Given,
25 + 35.
We need to find its GCF and another sum.
What is GCF?It is the greatest factor common to both 25 and 35.
Example: 8 and 24
- 4 x 2 = 8
- 4 x 6 = 24
4 is the GCF.
Find the GCF of 25 and 35.
5 x 5 = 25
5 x 7 = 35
5 is the GCF of 25 and 35.
Now,
25 + 35 = 60
5 x ( 5 + 7 ) = 5 x 12 = 60
The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 )
Thus,
The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 ).
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Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? $
Answer:
$4.75
Step-by-step explanation:
The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.
Answer:
after thinking about this thoroughly I've got the answer.
its $19.73
Step-by-step explanation:
23-3.27-14.98=4.75
So the answer is $4.75
5 Q1. The multiplicative inverse of - 5/7
(-7/5) is the multiplicative inverse of the number - 5/7.
The answer to the question is (b/a), which is the multiplicative inverse of the fraction number that is (a/b).
So, according to the question:
The reciprocal of (-5/7) is (-7/5).
As a result, (-7/5) is the right response to a multiplicative inverse.
What is inverse multiplicative?The reciprocal of the supplied integer can be used to establish a number's multiplicative inverse. The denominator must not be 0 in order for a multiplicative inverse to exist. And the result of the multiplication should be 1.
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If u/11 = 5/17 what does u equall
Answer:
u= 55/17
Step-by-step explanation:
Answer:
Step-by-step explanation:
u/11=5/17 so cross multiplication, 17u=5*11, 17u=55, so u =55/17
Hey guys, how to solve this ?
Thanks for the answers
5.6967 rounded to nearest thousandth
Answer
5.6967 rounded up will be 5.697.
Step-by-step explanation:
jim built a large rectangular planter bed for his garden. The length of the planter is 2 feet longer than 3 times the width. The perimeter of the planter bed is 92 feet. Write and solve an equation to find the length and width of the planter bed.
Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.
What is the length and width of the rectangular planter bed?The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let 'x' represent the width of the rectangle.
Width w = xLength = 3x + 2Perimeter P = 92ftPlug the given values into the above above equation.
P = 2( l + w )
92 = 2( ( 3x + 2 ) + x )
Solve the equation for x.
92 = 2( ( 3x + 2 ) + x )
92 = 6x + 4 + 2x
92 = 8x + 4
8x = 92 - 4
8x = 88
x = 88/8
x = 11
Hence;
Width of the rectangular planter bed = x = 11ft
Length of the rectangular planter bed = 3x+2 = 3(11) + 2 = 33 + 2 = 35ft
Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.
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03 Multiple Choice
Jessica has taken a new sales job but has to decide on a salary option. For her first salary option she can earn $200 plus 6% of her
weekly sales. The second salary option she can earn $450 plus 3% of her weekly sales. Which equation shows the amount she
must make in weekly sales in order for both salary options to be the same?
200+.03x = 450+.06x
200+ 3x = 450+ 6x
200+.06x = 450+.03x
200+ 6x 450 + 3x
Answer:
C) 200 + 0.06x = 450 + 0.03x========================
Let the weekly salary is x.
Option 1200 + 6% of x = 200 + 6*x/100 = 200 + 0.06xOption 2450 + 3% of x = 450 + 3*x/100 = 450 + 0.03xSince both options end up with same amount, it can be shown as:
200 + 0.06x = 450 + 0.03xThe matching choice is C.
need to find the value of xp
Answer:
x = 10
Step-by-step explanation:
it is given that: Line m || line n and line t is their transversal.(6x + 10)° is the vertical angle of the interior angle formed by the top line (perhaps line m) and it's transversal.Thus, by interior angles on the same side of the transversal, we have:-> (6x + 10)° + (10x + 10)° = 180° -> (16x + 20)° = 180°-> 16x + 20 = 180-> 16x = 180 - 20-> 16x = 160x = 160/16x = 10A package of 4 pairs of insulated gloves costs $26.36. What is the unit price of the pairs of gloves?
The unit price of the pair of gloves is $6.59
How to find the unit price of the pair of gloves?The package contains 4 pairs of insulated gloves costs $26.36.
The unit price of the pairs of gloves can be found as follows:
Unit price is the price at which a single quantity of a product is being sold.
Therefore, the unit price is the price of a single pair of gloves.
Hence,
unit price of the pair of gloves = total price / number of pairs of gloves
where
total price = $26.36number of pairs of gloves = 4Therefore,
unit price of the pair of gloves = 26.36 / 4
unit price of the pair of gloves = $6.59
Therefore, the unit price of the pair of gloves is $6.59
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Can any of you help me with this?
The ski team needs new uniforms. The students plan to sell plush toy lions (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 16 lions for $45.60. Company B sells 18 lions for 50.76. Company C charges $34.44 for 12 lions. Which company has the best buy?
In linear equation , The company which has the best buy is company C, they sell 1 lion for $2.77 (highest selling price among the three companies.
What in mathematics is a linear equation?
A linear equation is an algebraic equation with the formula y=mx+b, according to Wolfram MathWorld. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Company A = 16 lions for $45.60
Price per lion = $45.60 / 16
= $2.85
Company B = 18 lions for $50.76
Price per lion = $50.76 / 18 eagles
= $2.82
Company C = $34.44 for 12 lion
Price per lion = $34.44 / 12 lion
= $2.87
The company which has the best buy is company C, they sell 1 lion for $2.87 (highest selling price among the three companies)
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gary has just retired, and has 750000 dollars in his retirement account. the account will earn interest at an annual rate of 5 percent, compounded monthly. at the end of each month, gary will withdraw a fixed amount to cover his living expenses. gary wants his savings to last 30 years. how much money can he withdraw each month
The amount of money that Gary can withdraw each month is equal to $4026.18.
Given the following data:
Value of each payment, P = 750,000 dollars.Annual percentage interest rate, APR = 5% = 0.05.Time, t = 30 years.What is APR?APR is an acronym for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.
This ultimately implies that, the annual percentage rate (APR) would be calculated by dividing the rate of interest by twelve (12).
Rate of interest, r = APR/12
Rate of interest, r = 0.05/12
Rate of interest, r = 0.0041667
Next, we would calculate the present value of this ordinary annuity by using this formula:
Present value, PV = [P ÷ [1 - (1 + r)^{-nt}]/r]
Substituting the given parameters into the formula, we have;
Present value = [750,000 ÷ [(1 - (1 + 0.0041667)^{-30 × 12})/0.0041667]
Present value = [750,000 ÷ [(1 - (1.0041667)^{-360})/0.0041667]
Present value = [750,000 ÷ [(1 - 0.2238239)/0.0041667]
Present value = [750,000 ÷ [0.7761761/0.0041667]
Present value = 750,000 ÷ 186.280773754
Present value, PV = $4026.18.
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tyler has 14 boards cut to 3/4 yards and one that is 2 1/4 yards. what is the total length of the boards.
Answer:
vhdvbhahshsh
shsljjhsishhgdddndhd
2 angles are complementary if the measure of one of the angles is 58.6ﾟwhat is the matter of the other angle answer to the 1st decimal place, IE 79.5
Based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.
What are Complementary Angles?If the sum of two angles equals 90 degrees, they are called complementary angles.
Given:
One angle = 58.6ﾟ
The second angle = 90 - 58.6
The second angle = 31.4°.
Therefore, based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.
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A bald eagle flies 43.2 meters in 3 seconds. The graph shows the distance a typical peregrine falcon flies over time. At these rates, What is the difference in the distances flown by these two birds after 3 hours of flight? Show your
. find the rate of each birds speed in kilometers per hour
The difference between the distances flown by these birds is 150 Km.
According to the statement
We have to find that the rate of each birds speed in kilometers per hour.
So, For this purpose, we know that the
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
From the given information:
We have the graph given within the question to understand it please see the image below.
We have to search out the difference within the distances flown by these two birds after 3 hours of flight.
According to the question -
The slope of the road is -
m = 400/5 = 80
The y - intercept of the road is 0.
Therefore c = 0.
Therefore, the equation of the road are -
y = 80x
The distance covered by Bird 1 is
D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.
And
The distance covered by Bird 2 is
D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.
Then
difference between the distances flown by these birds is D[2] - D[1] = 640 - 490 = 150 Km.
Therefore, The difference between the distances flown by these birds is 150 Km.
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Si 14 % de un número es 160 ¿cuánto es de 10%
What is the 10% of number in which the 14% is 160
What does percentage mean?Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it. A% is a number that has neither dimensions nor a defined unit of measurement.
being that,
14% × x = 160
14/100 × x = 160
x = 160 × 100/14
x = 1142.86
The current value is 1142.86.
10% of the total number must be located.
to say,
10% x 1142.86 = 10 / 100 x 1142.86
= 114.286
Consequently, 114.286 is the value of the 10% of the number.
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Remi thinks that -(-6) has a positive value and Teresa thinks that -(-6) has a negative value. Who is correct?
If $350 is invested at 6% compounded
(A) annually, (B) quarterly, (C) monthly,
what is the amount after 7 years? How much interest is earned?
Answer:
Hope this helps
Step-by-step explanation:
350*.06=21
annually 21*7=147
quarterly 21(4*7)=588
monthly 21(12*7)=1764
what is the relationship between
a and b are vertically opposite angle ...
☘☘☘...
Select the correct answer.
The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per city is represented by the function P(x) = (1.05) (1.05) 3+5
Which function best describes T (2), the approximate population in the region?
OA. T (2) 2.9(1.05) 3²+5x
OB. T (T) (6.09)^4x+5
OC. T (1) 2.9(1.05)^4x+5
OD. T(x)= (3.045)^x + (1.05)^3x+5
The correct option is option C.
T(x) = 2.9(1.05)⁴ˣ ⁺ ⁵
Given the number of cities in a region is represented by the function:
C(x) = 2.9(1.05)ˣ
The approximate number of people per city is represented by the function P(x) = (1.05)³ˣ⁺⁵
we are asked to determine T(x), the approximate population in the region = ?
combine C(x) and P(x)
therefore, T(x) = C(x)P(x)
T(x) = 2.9(1.05)ˣ(1.05)³ˣ⁺⁵
During multiplication, when bases are same then powers are added.
T(x) = 2.9(1.05)³ˣ⁺ˣ⁺⁵
T(x) = 2.9(1.05)⁴ˣ⁺⁵
Hence we get the approximate function of T(x) as T(x) = 2.9(1.05)⁴ˣ⁺⁵
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Please help I’ll mark brainly
Hello,
[tex]\boxed{-4} - 3 = - 7[/tex]
the sum of 3 consecutive even integers is 36. find the integers
Answer:
12, 12, and 12
Step-by-step explanation:
12 is an even integer, and 12 + 12 + 12 = 36, so it would be logical for 12 to be the unknown integer.
