Answer:
[tex]\ln (y) = -0.250 \ln (x)+0.223[/tex]
Step-by-step explanation:
Given table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12}x & y\\\cline{1-2} \vphantom{\dfrac12} 1 & 1.250\\\cline{1-2} \vphantom{\dfrac12} 2 & 1.051\\\cline{1-2} \vphantom{\dfrac12} 3& 0.950\\\cline{1-2} \vphantom{\dfrac12} 4& 0.884\\\cline{1-2} \vphantom{\dfrac12} 5& 0.836\\\cline{1-2} \vphantom{\dfrac12} 6& 0.799\\\cline{1-2} \end{array}[/tex]
To convert y = axⁿ to linear form, take natural logs of both sides and rearrange:
[tex]\begin{aligned}y=ax^n \implies \ln y &= \ln ax^n\\\implies \ln y &= \ln a + \ln x^n\\\implies \ln y &= \ln a + n \ln x\\\implies \ln y &=n \ln x+ \ln a\end{aligned}[/tex]
This is in the straight-line form y = mx + c.
Substitute the first values of x and y from the table into the natural log formula and solve for ln(a):
[tex]\implies \ln 1.250= n \ln 1+\ln a[/tex]
[tex]\implies \ln 1.250= n (0)+\ln a[/tex]
[tex]\implies \ln a = \ln 1.250[/tex]
[tex]\implies \ln a = 0.223\; \sf (3 \; d.p.)[/tex]
Substitute the found value of ln(a) and the last values of x and y from the table into the natural log formula and solve for n:
[tex]\implies \ln 0.799= n \ln 6+\ln 1.250[/tex]
[tex]\implies n \ln 6=\ln 0.799-\ln 1.250[/tex]
[tex]\implies n =\dfrac{\ln 0.799-\ln 1.250}{\ln 6}[/tex]
[tex]\implies n =-0.250\;\sf (3 \; d.p.)[/tex]
Substitute the found values of n and ln(a) into the formula to create an equation for ln(y):
[tex]\boxed{\ln (y) = -0.250 \ln (x)+0.223}[/tex]
Harbors Petty cash fund 100 the fund is 19 postage 40 supplies 26 travel 15
The journal entry to record the replenishment of the petty cash fund shows a debit of $45 , $25 and $8 and a net credit of $78.
Replenishment of the Petty Cash Fund:
Petty cash refers to a small amount of fund that can be used for the day to day expenses for which disbursement of checks will not be suitable. As and when the petty cash balance is being used and reduced, the fund custodian requests and receives cash from the company's regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.
The journal entry to record the replenishment of the petty cash fund is made below:
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Complete question is given below :
On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.
Prepare the journal entry to record the replenishment of the petty cash fund.
The Cash account is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.
The expenses made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.
1. Postage Expense:
To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:
Postage Expense $19
Cash $19
2. Supplies Expense:
For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:
Supplies Expense $40
Cash $40
3. Travel Expense:
To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:
Travel Expense $26
Cash $26
4. Miscellaneous Expense:
Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:
Miscellaneous Expense $15
Cash $15
After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining balance of the petty cash fund should be adjusted accordingly.
the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:
Postage Expense $19
Cash $19
Supplies Expense $40
Cash $40
Travel Expense $26
Cash $26
Miscellaneous Expense $15
Cash $15
These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 65 large boxes and 50 small boxes. If the truck is carrying a total of 4250 pounds in boxes, how much does each type of box weigh?
Large box: ___ Pounds
Small box: ___Pounds
The weight of large box will be 45 pounds.
The weight of small box will be 30 pounds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The combined weight of a large box and a small box is 75 pounds.
And, The truck is transporting 55 large boxes and 70 small boxes.
Total weight of boxes = 4575 pounds
Now,
Let weight of large box = x
And, Weight of small box = y
Here, The combined weight of a large box and a small box is 75 pounds.
So, We can formulate;
⇒ x + y = 75 ...(i)
And, Total weight of boxes = 4575 pounds
So, We can formulate;
⇒ 55x + 70y = 4575 ...(ii)
Solve both equation as;
From (i);
x = 75 - y
Substitute in equation (ii), we get;
⇒ 55(75 - y) + 70y = 4575
⇒ 4,125 - 55y + 70y = 4575
⇒ 15y = 4575 - 4,125
⇒ 15y = 450
⇒ y = 30
And, x = 75 - 30 = 45
Thus, The weight of large box will be 45 pounds.
The weight of small box will be 30 pounds.
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The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?
Answer:
circumference (c) = 2.per(Square
Step-by-step explanation:
ar sq = l²
484 = l²
l = 22
again
p=4l=4×22=88cm
c = 2×p=2×88= 176cm
we know
c= 2πr
or, 176 = 2×22/7 × r
r = 28 cm
again
ar (circle) = πr²
= 22 / 7 × 28²=2464cm²
Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where x is the number of years after 1900.
y = -0.0000084x^3 + 0.00194x^2 -0.196x + 7.819
The estimated average annual growth rate of the country's population for 1950 is enter your response here ___________
The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 1.819, -0.1300048 and -1.4474respectively.
What is an equation?Equation: An algebraic expression composed of two expressions with the same value and the symbol "=" in between.
The given equation is
y = -0.0000084x³ + 0.00194x² -0.196x + 7.819
Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.
Difference between 1950 and 1900 is 50.
Put x=50 in the given equation.
y = -0.0000084(50)³ + 0.00194(50)² -0.196(50) + 7.819
y = 1.819
Therefore, the estimated average annual growth rate of the country's population for 1950 is 1.819.
The difference between 1988 and 1900 is 88.
Put x=88 in the given equation.
y = -0.0000084(88)³ + 0.00194(88)² -0.196(88) + 7.819
y= -0.1300048
Therefore, the estimated average annual growth rate of the country's population for 1988 is 0.9985.
Difference between 2010 and 1900 is 110.
Put x=110 in the given equation.
y = -0.0000084(110)³ + 0.00194(110)² -0.196(110) + 7.819
y= -1.4474
Therefore, the estimated average annual growth rate of the country's population for 2010 is 0.2236.
Therefore, population growth rates for a particular nation in 1950, 1988, and 2010 are, respectively, 1.819, -0.1300048 and -1.4474.
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−(−B)=minus, left parenthesis, minus, B, right parenthesis, equals
We know that,
When sign negative multiplied by negative then we find positive sign,
Therefore,
When sign positive multiplied by positive sign then we find positive sign,
When sign positive multiplied by negative sign then we find negative sign,
When sign negative multiplied by positive sign then we find negative sign,,
For example-
(-8)×(2)=-16
(-2)×(-2)=4
(-3)×(+3)=-9
(+3)×(+4)=+12
(+8)×(-2)=-16
According to question,
Given data in the question,
-(-B) =minus, left parenthesis, minus, B right parenthesis, equals
With the help of above Lines
we can say that,
-(-B)=-1×-(B)
=B
-(-B)=minus,left parenthesis, minus, B right parenthesis, equals
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For the give question of −(−B)=minus, left parenthesis, minus, B, right parenthesis, equals answer is -(-B)=-1×-(B)
What is parenthesis?The well-known () symbol is used in pairs to group things together or specify the order of operations in an equation. Parentheses or "round brackets" are also known as parentheses. When writing or solving equations in math, you'll frequently need to use brackets. They assist in defining the order of operations as well as grouping numbers.
We know that,
When sign negative multiplied by negative then we find positive sign,
Therefore,
When sign positive multiplied by positive sign then we find positive sign,
When sign positive multiplied by negative sign then we find negative sign,
When sign negative multiplied by positive sign then we find negative sign,,
For example-
(-8)×(2)=-16
(-2)×(-2)=4
(-3)×(+3)=-9
(+3)×(+4)=+12
(+8)×(-2)=-16
According to question,
Given data in the question,
-(-B) =minus, left parenthesis, minus, B right parenthesis, equals
With the help of above Lines
we can say that,
-(-B)=-1×-(B)
=B
-(-B)=minus, left parenthesis, minus, B right parenthesis, equals
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If f(x) = log (x/4) and g(x) = 2 log x, find (g – f) (x).
Answer:
To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)
= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))
= log ((x^2) / (x/4))
= log (4x)Therefore, (g – f)(x) = log (4x).
Step-by-step explanation:
Step-by-step explanation:
To find (g – f)(x), we can subtract f(x) from g(x):
(g – f)(x) = g(x) – f(x)
= 2 log x – log (x/4)
Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:
(g – f)(x) = log x^2 - log (x/4)
= log (x^2/(x/4))
= log (4x)
Therefore, (g – f)(x) = log (4x).
The population for the following district is subdivided by region:
Region 15 has 315 students
Region 16 has 148 students
Region 17 has 221 students
If an organization selects 3 students to represent the district, calculate the standard divisor needed to be eligible for representation of the region.
If an organization selects 3 students to represent the district, the standard divisor needed to be eligible for representation of the region is 228.
What is the standard divisor?The standard divisor is computed as the quotient of the total population divided by the number of representative seats required to be distributed.
The standard divisor explains the number of persons represented by a seat.
Regions Number of Students
Region 15 315
Region 16 148
Region 17 221
Total number = 684
Number of students to represent the district = 3
Standard divisor = 228 (684 ÷ 3)
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In 2020, the financial statements of Ultimate Medical Center reported $960,000 in total revenues and $305,000 in net income with consistent increase in patient volume each month. In fact, during your leadership meeting, you were able to report that there were $400,000 in collections and $820,000 in monthly charges for the monthly of August. Calculate the gross collection ratio and the operating ratio for Ultimate Medical Center:
A family wants to make an addition to a deck that extends off the back of their home. The current deck is 400 ft2. The addition will be 18.75 ft in length and 15 ft wide. What will be the total area of the deck once the addition is complete?
A: 681.25 ft2
B: 433.75 ft2
C: 281.25 ft2
D: 118.75 ft2
Answer:
[tex]681.25ft^2[/tex]
Step-by-step explanation:
The total area of the deck can be found with
[tex]A_t=A_0+A_a[/tex]
where
[tex]A_t[/tex] = total area of the new deck
[tex]A_0[/tex] = area of the original deck
[tex]A_a[/tex] = area of addition
The area of the addition can be found with
[tex]A_a=lw[/tex]
where
[tex]l[/tex] = length of addition
[tex]w[/tex] = width of addition
So,
[tex]A_t=400ft^2+(18.75ft*15ft)\\A_t=400ft^2+281.25ft^2\\A_t=681.25ft^2[/tex]
Express 40 g as a percentage of 2 kg.
=2%
Step-by-step explanation:2 kg = 2000 g
x% of 2000 = 40
x/100 × 2000 = 40
x = 2%
-15x + 20y = 15-5
0-18x + 24y - 18
Answer:
To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:
-15x + 20y = 15-5
20y = 15 - 5 - 15x
y = -3/4 x + 2
Similarly, the second equation can be rewritten as follows:
0 - 18x + 24y - 18
24y = -18 - 18x
y = -3/2 x - 1
Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:
-3/4 x + 2 = -3/2 x - 1
-3/4 x + 2 + 3/2 x = -1 + 3/2 x
x = -1/6
Substituting this value of x into either equation, we can solve for y to find the point of intersection:
y = -3/4 x + 2
y = -3/4 (-1/6) + 2
y = 1/3
Therefore, the point of intersection for these two equations is (-1/6, 1/3). This means that the system of equations has exactly one solution at this point.
What is the dislance belween the points (4,-7) and (-5, -7)?
Answer:
Therefore the distance between the points is 9 units.
__________________________________________________________
Hello! In this question, we will find the distance between the two given points.
__________________________________________________________
Explanation:
In this problem, we were given the points:
(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:
__________________________________________________________
Solve:
Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
__________________________________________________________
Answer:
The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]
__________________________________________________________
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Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:
Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00
The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total manufacturing cost transferred from Work in Process to Finished Goods would be:
Garrison 17e Rechecks 2020-09-29
Multiple Choice
$647,800.
$678,600.
$667,400.
$654,700.
Group Ends
There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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The heights of adult men are normally distributed. The heights (in inches) of 9 adult males are given below. 72, 71, 71, 68, 68.75, 70.25, 72, 70.25, 68.25 A physician believes that the mean height of adult men is larger than 69.9 inches. Test the physician’s claim at the α = 0.05 level of significance.
Mean=70.11
Std=1.58
Answer:
71
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!
The area of each square below is 1 square unit. What is the area of the striped region? if you get it first brainly
The area of the striped region (blue ones with angled strips on them) is equal to 3/4 square units.
How to get the area of the striped region?First, we know that each square below is 1 square unit.
These squares are divided into rectangles of (1/2) by (1/6), then each one of these strips has an area equal to the product between the two dimensions, it gives:
(1/2)*(1/6) = 1/12 square units.
Now we need to count how many of the striped rectangles are, we can see that there are 9 of these, then the area of the striped region is:
A = 9*1/12 square units.
A = 9/12 square units
A = 3/4 square units.
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Banks offer different rewards/perks depending on how much money you have in your account.
A) True
B) False
The ______ is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
A. sum of squares due to regression (SSR)
B. sum of squares due to error (SSE)
C. erorr term
D. residual
B. squares due to error (SSE) is the correct option.
What is squares due to error (SSE)?
Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.
The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
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Suppose that f(x) = x² and g(x)=2/5x². Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) compressed vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically.
C. The graph of g(x) is the graph of f(x) compressed vertically and
reflected over the x-axis.
OD. The graph of g(x) is the graph of f(x) stretched vertically and
reflected over the x-axis.
Question Progress
Homework Progress
110/122 Marks
Four whole numbers are each rounded to the nearest 10
The sum of the four rounded numbers is 90
What is the maximum possible sum of the original four numbers?
The maximum amount of the original four numbers is 110.
What is the whole number?
A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.
The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.
So each number would have an extra +5.
And then the maximum number is 90 + (5 x 4) is equal to 110.
Or if the rounded-up no. were 10, 20, 30, 30.
The sum of these numbers is 90.
They can go up to 15,25,35,35.
So the sum of this is 110.
Hence, the maximum possible sum of the original four numbers is 110.
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f(x)=2.836sin (0.0172(x-80)) +12.164 a. Use technology to obtain a printout of the function over its practical domain. Scale and label the axes appropriately. b. Label the maximum, minimum, and inflection points on the graph. You should label the points both in the form (x, f(x)) and (date, f(x)).
(a) The function over its practical domain x = 80±nπ n∈(0, 1, 2, 3,..............)
(b) Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
In the given question, f(x)=2.836 sin(0.0172(x-80)) + 12.164
a. Using technology we have to obtain a printout of the function over its practical domain. Scale and label the axes appropriately.
f(x)=2.836 sin(0.0172(x-80)) + 12.164
f'(x) = 0 at 2.836×0.0172 cos(0.0172(x-80)) = 0
So x = 171.325, 353.976, 536.627, 719.278, .................
f''(x) = -2.836×(0.0172)^2 sin(0.0172(x-80)) = 0
So x = 80±nπ n∈(0, 1, 2, 3,..............)
b. We have to label the maximum, minimum, and inflection points on the graph. We should label the points both in the form (x, f(x)) and (date, f(x)).
Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
Therefore, the graph of the aforesaid function is shown below. The greatest value of the function is 15 and the smallest value is 9.328. Additionally, the graph's values are labelled.
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CAN SOMEONE PLEAE HELP!!!!
Here’s a picture
Answer: f(x) = 1
Step-by-step explanation:
They tell us what we need to do, we must substitute x for 0 in the original function to find the initial value.
[tex]f(x) = (\frac{1}{4} )^x[/tex]
[tex]f(x) = (\frac{1}{4} )^0[/tex]
[tex]f(x) = 1[/tex]
* Anything raised to the power of 0 is equal to 1.
if you depsoit $1000 at 100% simple interest, what will your ending balance be after one year
Answer:
$2,000
Step-by-step explanation:
A=P(rincipal)R(ate)T(ime)
1000*1*1=1000
1000(principal)+1000(interest)=2,000(total)
can you find the exact circumference of a circle when you multipy the diameter by 22/7? explain
When you multiply the diameter by 22/7, you find the approximate not exact circumference of a circle.
What is the Circumference of a circle?
The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by it.
Pi ( written as the Geek letter π) is a universal constant found by dividing the circumference of a circle by its diameter. So if you measure the diameter of a circle you can calculate its circumference by multiplying by π.
Circumference = π * diameter.
It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.
For example:
What is the circumference of a circle that has a radius of 7cm?
Approximately 22 cm.
Exactly 7πcm
The ratio between the circumference of a circle and its diameter is π. We commonly write c=2π r, using the radius instead and doubling it.
One is 22/7, which is common in use and the other is 355113 ≈ 3.1415929,
which is less well-known but very accurate for the number of digits you have to remember.
In the given example, we are told that the diameter is 7 cm.
So using the common approximation π ≈ 22/7,
we find that the circumference is approximately:
(22/7)* 7 cm
= 22cm
Hence, when you multiply the diameter by 22/7, you find the approximate not exact circumference of a circle.
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what should i write there can someone help pls
Answer:
9t + 9e is your answer bro
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
X-intercept =
Answer:
Step-by-step explanation:
To find the y intercept we need to let x=0
y=10*0+5=5 therefore y intercept =5
To find the x intercept we need to let y=0
we get 0=10x+5
We need to solve for x, this means getting x on its own
Take 5 from both sides
0-5=10x+5-5
-5=10x
Divide both sides by 10
gives
-5/10=10x/10
-1/2=x
Therefor x intercept =-1/2
What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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How many real solution are there in equation[tex]\frac{(x-2)(x-3)}{(x-3)(x-4)} =-1[/tex]
Answer:
0
Step-by-step explanation:
[tex]\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3[/tex]
This contradicts the domain restriction, so there are no real solutions.
Answer: 0
Step-by-step explanation:
-3x-4y=-1 3x-y=-4 elimination
Answer:
(- 1, 1 )
Step-by-step explanation:
- 3x - 4y = - 1 → (1)
3x - y = - 4 → (2)
add (1) and (2) term by term to eliminate x
0 - 5y = - 5
- 5y = - 5 ( divide both sides by - 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
3x - 1 = - 4 ( add 1 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
solution is (- 1, 1 )
Pls help i will mark brainliest Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.
y ≥ 0
y ≤ 0
y is greater than or equal to negative 1 over 40
y is less than or equal to negative 1 over 40
The value of y is less than or equal to 0 (y ≤ 0).
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Given:
4y + 1/5 ≤ 4/5
We have to find the value of y.
Subtract 1/5 from both sides,
4y + 1/5 - 1/5 ≤ 4/5 - 1/5
4y ≤ 3/5
Multiply both sides by 1/4
4y x 1/4 ≤ 3/5 x 1/4
y ≤ 3/20
y ≤ 0.15
Hence, the value of y is less than or equal to 0 (y ≤ 0).
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Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $5.00 per unit. (Note: One unit = one thousand streams)
Model the profit for the total number of streams by answering the questions below:
1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
2. Use the payment per unit to build the slope. What is the slope?
3. What is the equation of this line?
4. After how many streams will the distributor charges be paid?
5. How many streams would it take to profit $950,000?
y-intercept of the function is (0, 50), the slope of the function is 5, the equation of the line is P(x) = 50 + 5x and it would take 189990 streams to profit $950,000.
What does math's intercept mean?The x-intercept and y-intercept are the points where a centre line the x- and y-axes, respectively.
Briefing:Given the following parameters
Fixed price = $50
The rate of change is $5 if streaming providers pay $ 5.00 per unit.
The necessary profit is provided as follows for the entire number of streams:
P(x) = 50 + 5x
The y-intercept is the location where x equals zero.
P(x) = 50 + 5x
P(0) = 50 + 5(0)
P(0) = 50
Thus, the function's y-intercept is (0, 50)
For the slope
mx = 5x
m = 5
Consequently, the function's slope is 5.
Equation of this line is P(x) = 50 + 5x
P(x) = 50 + 5x = 950000
5x = 950000 - 50
5x = 949950
x = 189990
Hence, it would take 189990 streams to profit $950,000.
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