9514 1404 393
Answer:
A. perhaps 0 to 7 days
B. the radius in mm at the start of the study
C. 0.114 mm/day
Step-by-step explanation:
A. It is always problematic to determine the reasonable domain for an exponential growth function. You can always limit the domain to the length of time for which the function is said to model the growth. It is difficult to say how much beyond that time period the exponential growth can be extrapolated, as most systems run into limits to growth.
Here, the base of the exponential term is 1.01 = 1 + 1%. This tells you the growth rate is 1% per day. The study concludes when the radius was 11.79/11.00 = 1.071818... ≈ 1 + 7.2% times the original size. That is, the study lasted approximately 7 days.
The question in part C has you look at the size on day 7, which is apparently the last day of the study. It is not clear that the model is at all useful beyond the end of the period it is intended to describe.
A reasonable domain for the growth function is 0 to 7 days.
__
B. The function gives the radius of the algae after d days. When d=0 (the y-intercept), the function gives the radius of the algae after 0 days. That is the meaning of the y-intercept is the initial radius of the algae (at the beginning of the study).
The y-intercept is always the "initial value", the value when the independent variable is zero. You have to look at the function definition to see what it is the initial value of.
__
C. The average rate of change is the difference in function values divided by the difference in time between them. Here, the attached table tells us that is ...
(f(7) -f(2))/(7 -2) = (11.793 -11.221)/5 = 0.572/5 = 0.1144 . . . mm/day
The units of the "average rate of change" are the units of the slope of the curve on the graph: the y-axis units divided by the x-axis units. Here, that is mm/day.
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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What is the deposit of $40
The integer form is + 40.
The integer form is - 25
What is an integer?An integer is a whole number from the set of negative, non-negative, and positive numbers.
Therefore, integers can be written without fractional components.
Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.
A deposit of 40 dollars means gain. Therefore, the integer form is + 40.
A loss of 25 pounds mean loss. Therefore, the integer form is - 25
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The maximum capacity of a bird's lungs varies directly with it size. If a robin with a mass of 310 grams has a lung capacity of 46,5 mL, how much lung capacity does a 1270-gram hawk have? round it to the nearest tenth.
Thus, the required capacity lung capacity of hawk is 190.5ml.
robin with a mass of 310 grams has a lung capacity of 46.5 mL
let lung capacity of a 1270-gram hawk = x
Volume, is defined as the ratio of the mass of object to its density.
Here,
The maximum capacity of a bird's lungs varies directly with it size.
So the proportion can be given as
⇒ 310/46.5 = 1270/x
= 190.5
Thus, the required capacity lung capacity of hawk is 190.5ml.
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Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help mee this is my last question
Answer:
\(A=b(b+\frac{5}{2} )\)
Step-by-step explanation:
hey there!!!
we know already that the area of a triangle is given as
\(A=\frac{1}{2}b *h\)
where b= base
and h= heigth
Given that the height is 5 times more than twice it base
let h= 2b+5
Now we substitute h=2b+5 in the area of the triangle
\(A=\frac{1}{2}b * (2b+5)\)
\(A= \frac{2b^2}{2} +\frac{5b}{2}\)
\(A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )\)
I WILL GIVE BRAINLIEST
Juan bought three and three-fourths pounds of pineapple and three and three-eighths pounds of strawberries for a fruit salad. After eating one and fifteen-sixteenths pounds of the fruit salad, how much was left?
five and three-sixteenths pounds
five and three-eighths pounds
five and nine-sixteenths pounds
seven and twenty-one sixteenths pounds
Salad was left (A) Five and three-sixteenths pounds.
Fraction is the comparison between numbers or mathematical quantities.
Given that, Juan bought pineapple of = (3 + 3/4) pounds = 15/4 pounds
Juan bought strawberries of = (3 + 3/8) pounds = 27/8 pounds
So now the amount total fruit salad = 15/4 + 27/8 = (30+27)/8 = 57/8 pounds
Juan eats = (1+15/16) = 31/16 pounds
Now salad left = 57/8 - 31/16 = (114-31)/16 = 83/16 = (5+3/16) pounds
Hence the correct option is (A).
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What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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una alberca tiene forma de prisma rectangular sus dimensiones son 12 metros de largo 6 metros de ancho y 3 metros de profundidad ¿que volumen puede contener?
Answer:
216 metros
Step-by-step explanation:
solo tienes que multiplicar todo
12x6x3 = 216 metros
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
to the Pythagorean Theorem
Rapids
For the following right triangle, find the side length x.
20
21
Answer:
x = 29
Step-by-step explanation:
\(c^{2} = a^{2} + b^{2}\)
\(c^{2} = 20^{2} + 21^{2}\)
\(c^{2} = 400 + 441\)
\(c^{2} = 841\)
\(\sqrt{c^2} = \sqrt{841}\)
\(c = 29\)
As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.
What is the Pythagorean Theorem?"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC². Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse."
Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.
Here, x = the hypotenuse of the right angle triangle.
Therefore, using the Pythagorean theorem, we get:
x² = 20² + 21²
⇒ x² = 400 + 441
⇒ x² = 841
⇒ x = √(841)
⇒ x = 29 (ignoring the negative value of the square root)
Therefore, the value of 'x' is 29.
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PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
The average person walks♀️the equivalent of five times around the world in their lifetime. true or false
Answer:
True
Step-by-step explanation:
Doing the math, the average person with the average stride living until 80 will walk a distance of around 110,000 miles. Which is the equivalent of walking about 5 times around the Earth, right on the equator.
Answer:
True
Step-by-step explanation:
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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We have a right prism whose base is a pentagon. Its height is 10ft. The area of the base is \(20ft^{2}\). Solve for LSA and TSA.
The LSA of prism is 157 square feet.
The TSA of prism is 169.738 square feet
We have,
Height = 10 feet
Area of base = 20 square feet
So, area of pentagonal base = 1/4 √5 (5 + 2√5) a²
20 = 1/4 √5 (5 + 2√5) a²
a = 3.14
Now, LSA of prism
= 5bh
= 5(3.14)(10)
= 157 square feet
and, TSA of prism
= 5 x 2(20)/ 15.7 + 157
= 169.738 square feet
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What the answer plz
Some anybody
Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
Rounded to the nearest $10, the $49.35 bill becomes $50.
We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.
Then 5% of $50 is half of 10%, so is $5/2 = $2.50.
The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...
15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50
The estimated 15% tip is $7.50.
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 QUESTION 1 [24] Gavin Pillay is employed at Maritzburg Engineering, a Steel manufacturing company in Pietermaritzburg. Below is a copy of his Payslip. 1. 3201 Company Maritzburg Engineering cc 21 Halsted Road Pietermaritzburg Employment No 105 Id Number Income Basic Salary Overtime M Gross Salary Maritzburg Engineering cc Employee Name Gavin Pillay Period 31/05/2023 Sex Male 790128514088 R8700 R1200 A Status Married Deductions PAYE UIF Total Deductions Net Pay 1200 87 B C Name the Employee? What does UIF stand for? Show by calculation that the UIF paid by Gavin is calculated correctly Which month is this Payslip for? Calculate the missing values A to C How old is Gavin this year? Give the address of Gavin's work place. Gavin would like to contribute towards a Pension fund (7,5% of his Basic Salary). H would this affect his net salary?
If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.
1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.
Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.
Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.
31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6
Total deductions of Gavin includes PAYE, UIF and pension fund contribution.
Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7
Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?
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HELP PLEASE ILL MARK YOU BRAINLEST!!! PLEASE HELP ASAP
Answer:
slope = 2 which passes the line ( 3, 1 ) , ( 8, 11 )
Explanation:
coordinates given: ( 3, 1 ) , ( 8, 11 )
to find slope of the line: \(\frac{y2-y1}{x2-x1}\)
: \(\frac{11-1}{8-3}\)
: \(\frac{10}{5}\)
: \(2\)
question on picture attached, easy but i’m stuck (need help asap)
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
What kind of function describes this situation?
Answer: A
Step-by-step explanation:
because she's deducting 10 points every day the slope is constant so it has to be a linear equation
A company is conducting sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 7% of its contents being winners, while 6% of the contents of box B are winners. Box A contains 40% of the total tickets. The contents of both boxes are mixed in a drawer. a) If a ticket is selected at random from the drawer, what is the probability that it is a winner
Answer:
Probability of winner = 0.064
Step-by-step explanation:
Given:
Probability of box A = 40% = 0.4
Probability of winning box A = 7% = 0.07
Probability of box B = 1- 40% = 0.6
Probability of winning box B = 6% = 0.06
Find:
Probability of winner
Computation:
Probability of winner = Probability of box A × Probability of winning box A + Probability of box B × Probability of winning box B
Probability of winner = [0.4][0.07] + [0.6][0.06]
Probability of winner = 0.028 + 0.036
Probability of winner = 0.064
The expression 8x +12y represents the sum of Harry and Mike's total monthly wages, where x represents the number
of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the
expression, and what can you conclude from rewriting it in this way?
8(x +1.5y); Harry's hourly wage is 1.5 times Mike's.
8(x +1.5y); Mike's hourly wage is 1.5 times Harry's.
12(x+y)Harry's hourly wage is 8 times Mike's.
8(x+4y); Mike's hourly wage is 4 times Harry's.
Def the second one because think about it this way 1.5 x 8 = 12
There's your answer
Answer:
b
Step-by-step explanation:because i searched it up
एउटा मोटरसाइकलको मूल्य वि.सं 2070 मा रु. 250,000 थियो र वि.सं. 2072 मा रु. 160,000 छ भने वार्षिक मिश्रह्रास दर पत्ता लगाउनुहोस् । The price of a motorcycle was Rs 250,000 in 2070 B.S. and in 2072 B.S., it is Rs 1,60,000. Find the annual rate of compound depreciation.
Step-by-step explanation:
Solution,
P=2,50,000
T=2072-2070
=2 years
Pt=1,60,000
Pt=P(1-D/100)^2
1,60,000=2,50,000{(100-D)}^2
100
1,60,000/2,50,000={(100-D)}^2
100
0.64={(100-D}^2
100
(0.8)^2={(100-D)}
100
80=100-D
100
80=100-D
D=100-80
D=20%
Hence, the deprecation rate is 20% over the period of 2 years
Estimate: 23.41 ÷ 3.1
Answer:
The answer is 8
The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.
I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.
Can you please help me
9514 1404 393
Answer:
x = 65°y = 32.5°Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
__
Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
The ratio of cows to pigs on the farm is
5:6. There are 30 pigs. How many cows
are on the farm?
Answer:
40
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1
Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)
What is Midpoint of a LineThe midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.
The formula of midpoint of a line is given as;
M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2
Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.
The x - coordinate is calculated as;
-1 = (4 + x₁) / 2
-2 = 4 + x₁
x₁ = -2 - 4
x₁ = -6
The y - coordinates is calculated as;
8 = (-15 + y₁) / 2
16 = -15 + y₁
y₁ = 16 + 15
y₁ = 31
The coordinates of k is (-6, 31)
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the bottom angle is also 45 could some one answer this for me
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
learn more about trig ratios here :
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Tyrone paid $234.33 for a new watch, after-tax, and the tax rate is 7%. What was the original price of the watch?
the price of the watch plus tax = 100% + 7% = 107%
Divide the total cost by 107%:
234.33 / 1.07 = 219.00
The original price was $219.00
An electric pole was knocked over and is leaning at a 104 degree angle due to a recent storm. As a result, the power lines are hanging too low so some electricians were sent out to look in to the situation. One electrician is sitting 36 meters away from the base of the pole (on the obtuse angle side).
Although it is too dangerous to measure the length of the pole directly, the electricians can measure the angle of elevation from the ground to the top of the pole and then calculate the length based off of that. If the angle of elevation from the electrician to the top of the pole is 33.6 degrees, what is the length of the pole?
Round your answer to the nearest hundredth of a meter.
Answer:
29.54 m
Step-by-step explanation:
You want the side opposite the 33.6° angle in a triangle that is 36 m between its 33.6° angle and its 104° angle.
Law of sinesIn order to use the law of sines to find an unknown side opposite a given angle, we must have a known angle opposite a known side. The known side is opposite the third angle of the triangle, whose measure is ...
180° -104° -33.6° = 42.4°
Now, we can use the law of sines:
pole height/sin(33.6°) = (36 m)/sin(42.4°)
pole height = (36 m)·sin(33.6°)/sin(42.4°) ≈ 29.54475 m
pole height ≈ 29.54 m