We have the next points
(-3,3)=(x1,y1)
(-1,-3)=(x2,y2)
In order to calculate the equation we need to find the slope of the line
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-3}{-1+3}=\frac{-6}{2}=-3\)The slope of the line is -3
Then we will calculate the equation of the line using the slope-point form
\(y-y_1=m(x-x_1)\)we substitute the values
\(y-3=-3(x+3)\)we isolate the y in order to obtain the equation of the line
\(\begin{gathered} y=-3x-9+3 \\ \end{gathered}\)The equation of the line given is
\(y=-3x-6\)another way to find the answer is using the other point
\(y+3=-3(x+1)\)Therefore the correct answers are A and B
Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest
cent.
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35\)
$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest compounded semiannually is,
A = P[1 + (r/2)/100]²ⁿ.
Where, A = amount, P = principle, r = rate and n = time in years.
Given, $16,000 is deposited for five years at 5 % compounded semiannually.
A = 16000[1 + (5/2)/100]²ˣ⁵.
A = 16000[1 + 0.025]¹⁰.
A = 16000[1.025]¹⁰.
A = 16000×1.28.
A = 20481.
So, the interest earned is (20481 - 16000) = 4481 dollars.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Identify all rays and lines in the picture below.
The rays and lines in the picture are as follows;
rays: BD, AC and AB
lines: AC
What are rays and lines?A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.
A ray is named using its endpoint first, and then any other point on the ray
A line segment has two endpoints.
Therefore, the rays and lines are as follows:
rays: BD, AC and AB
lines: AC
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HELP ASAP IF CORRECT BRAINEST :D EASY MATH
Answer:
x = 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=3 because if you subtract 1 its 4x=12 which is 3
3. a) A frequency distribution gives the following results: C.V. = 5%, s.d. Find the mean and the mode of the distribution. =o=2 and the Karl Pearson's coefficient of skewness=0.5
The value of mean and the mode of the distribution are,
x = 40
z = 39
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;
A frequency distribution gives the following results:
C.V. = 5%
σ = 2
The Karl Pearson's coefficient of skewness = 0.5
Now, We know that;
C.V = σ / x × 100
0.5 = (50 - z) / 2
Hence,
x = 2/5 x 100 = 40
And,
0.5 x 2 = 40 - z
z = 39
Thus, The value of mean and the mode of the distribution are,
x = 40
z = 39
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Given that fx=2x2-4x+1, then f(-1)is.
Answer:
\(f(-1)=7\)
Step-by-step explanation:
I am going to assume your question meant the equation
\(f(x)=2x^{2} -4x+1\)
So \(f(-1)\) can be found by substituting all the x terms in the equation with -1
\(f(-1)=2(-1)^{2} -4(-1)+1\)
And simplifying for our answer
\(f(-1)=2(1)+4+1\)
\(f(-1) = 2+4+1\)
\(f(-1)=7\)
(2.5 x 10^6) + (1.2 x 10^3)
whats the answer to this???
Hey
\(\text{there}\)
\((2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) \)
\( {10}^{6}=1000000\)
\((2.5\times1000000) + (1.2\times{10}^{3})\)
\( {10}^{3} = 1000\)
\((2.5 \times 1000000) + (1.2 + 1000)\)
\((2.5\times1000000) = 2,500,000\)
\((2,500,000) + (1.2 \times 1000)\)
\((1.2\times1000)=1,200\)
\((2,500,000)+(1,200)=2,501,200\)
\( \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark\)
Good luck on your assignment and enjoy your day!~
\( \dfrac{ \frak{LoveYourselfFirst}}{:)}\)
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
What does the median say about Grace's data set?
Answer options with 4 options
A.
Everyone Grace surveyed has two pets.
B.
More of Grace's friends have two pets than any other number.
C.
Two is the middle number when the number of pets in the data set is ordered from least to greatest.
D.
Two is the difference between the greatest and least number of pets Grace's friends have.
The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.
What is the median of a data set?The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
Median=2
By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.
Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.
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Debra wants to rent a boat and spend at most $44. The boat costs $8 per hour, and Debra has a discount coupon for S4 off. What are the possibile numbers of
hours Debra could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t ≤ 6
Step-by-step explanation:
8t - 4 ≤ 44
I hope this helps!
I need help with thisThis practice problem is from my trigonometry prep guide It asks to solve (a) and (b)
Given,
The expression of binomial is,
\((3x^5-\frac{1}{9}y^3)^4\)The binomial expansion with exponent 4 is,
\((a-b)^4=a^4-4a^3b+6a^2b^2-4ab^3+b^4\)The summation form of the binomial is,
Reading Off
QUIZ:
Dilations and the Coordinate Plane
A dilation with a scale factor of and centered at the origin is applied to MN with endpoints M(-2,- 4) and N(1,5).
Drag and drop to match the correct coordinates with the point
Coordinates of M'
Coordinates of N'
(5, 25
(-10,
4)
(-10, 20)
(1, 1)
8:11 AM
(1, 1)
AK 4 0 ENG
5/27/2021
( - ) E
The object of a popular carnival game is to roll a ball up an incline into regions with different
values. The probability that Angus will get 100 points in a roll is 40%, 200 points is 35%, and
300 points is 25%. Find the expected value, E(X), of a roll.
O 185
O 200
O 400
O 150
The expected value, E(x) of the given observation is 185
The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.
The given parameters can be represented as:
\(\begin{array}{cccc}x & {100} & {200} & {300} \ \\ P(x) & {40\%} & {35\%} & {25\%} \ \end{array}\)
The following formula calculates the expected value:
\(E(x) =\sum x * P(x)\)
So, we have:
\(E(x) = 100 * 40\% + 200 * 35\% + 300 * 25\%\)
\(E(x) = 40 + 70 + 75\)
\(E(x) = 185\)
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10 points. please answer
The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°
What are similar triangles?Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.
From the diagram shown:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
20 + 105 + ∠Z = 180
∠Z = 55°
Since triangle XYZ and triangle GHI are similar, hence:
∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°
The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°
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Content
Calculator
|||
m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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how do I find the value of x in an equilateral triangle
Answer:
60°
Step-by-step explanation:
As we can see it is an equilateral triangle so all angles are equal so
x = 60°
Hope it will help :)
Write an equation representing the situation if p is the price of a meal in dollars.
(a) The cost of two meals is $18
(b) The cost of a meal plus a 20% tip is $10.80
The expression for the cost of two meals will be m₁ + m₂ = $18. The cost of the meal plus a 20% tip will be ( m₁ + m₂)1.2 = $10.80.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the cost of two meals is $18 and the cost of a meal plus a 20% tip is $10.80.
The expressions will be written as:-
m₁ + m₂ = $18.
( m₁ + m₂)1.2 = $10.80.
Therefore, the expression for the cost of two meals will be m₁ + m₂ = $18. The cost of the meal plus a 20% tip will be ( m₁ + m₂)1.2 = $10.80.
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Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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5) Three students in Ms. Fister's class wrote the following expressions on the board Student Expression Lashown 26 (33) Alysa 3 (10-2) -(4-2) 3x (28) 5.6
Answer:
solve using the easyest strategei
Step-by-step explanation:
nothing
How many digits are there in the Hindu-Arabic form of 44,350•1019?
Answer:
25 digits
Step-by-step explanation:
add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits
I need help
I need help
I need help
I need help
I need help
I need help
I need help
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Point A is located at (3,5) and point B is located at (-2 ,-2).find the distance between point A and B
Answer:
8.74
Step-by-step explanation:
The distance can be calculated by Distance Formula , as :-
⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]
⇒ D = √ [ ( 3 + 2)² + (5+2)² ]
⇒ D = √ 5² + 7²
⇒ D = √ [ 25 + 49 ]
⇒ D = √ 74
⇒ D = 8.74 units .
Which of the following best describes the solution to the equation below? -4(4x + 9) = -2(8x + 18)
PLEASE SHOW HOW YOU GOT THE ANSWER
I WILL LITTERALLY GIVE BRAINLIEST TO THE FIRST PERSON TO ANSWER THESE QUESTIONS IF THEY ARE CORRECT:
Which expression represents the value, in dollars, of a certain number of dimes, d, and nickels, n?
0.10d + 0.05n
0.05d + 0.10n
0.15d + n
0.15dn
What is the solution to the equation x + 7.5 = 21.5?
x = 2.9
x = 7.8
x = 14
x = 29
If 9x = 63, then x = ___. (Only input whole number)
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
x
7x − 6
x − 1
6x − 7
Ricky made 86 phone calls in 3 months. In the first month she made 21 calls, and in the second month she made 19 calls. How many calls did she make in the third month?
21
40
46
65
A group of students must collect at least $150 to organize a science fair. They have already collected $90. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?
Number line graph with closed circle on 240 and shading to the right.
Number line graph with closed circle on 90 and shading to the right
Number line graph with closed circle on 60 and shading to the right.
Number line graph with closed circle on 150 and shading to the right.
The cost of 3 bottles of apple spread is $7.41. What is the cost of each bottle of apple spread?
$1.62
$2.47
$4.41
$10.41
If n is at least 7, which inequality best represents the values of n?
n > 7
n < 7
n ≥ 7
n ≤ 7
Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf?
$4.66
$7.44
$11.78
$24.22
A store sold 70 copies of a magazine for $350. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price (y), in dollars, of a certain number of copies (x) of the magazine?
y = 3x; (1, 3), (2, 6), (3, 9)
y = 4x; (1, 4), (2, 8), (3, 12)
y = 5x; (1, 5), (2, 10), (3, 15)
y = 6x; (1, 6), (2, 12), (3, 18)
If y = 20x, which table shows the values of y for different values of x?
x 0 2 4
y 0 20 40
x 0 2 4
y 0 22 24
x 0 2 4
y 0 10 5
x 0 2 4
y 0 40 80
If y is 15 times x, which equation shows the relationship between x and y?
y = 15 + x
x = 15 + y
x = 15y
y = 15x
Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 4]
Yes, because the total will be $3.27
Yes, because the total will be $1.93
No, because the total will be $4.27
No, because the total will be $5.93
A set of numbers is shown below:
{3.1, 4.2, 7.2, 8.4, 12.2}
The number __ from the set will make the equation x + 2 = 6.2 true.
A set of numbers is shown below:
{0, 0.4, 1, 2, 3}
Which of the following shows all the numbers from the set that make the inequality 4x + 1 ≥ 5 true?
{2, 3}
{1, 2, 3}
{0, 0.4, 1}
{0.4, 1}
Answer:the answer for number 1 is 0.10d+0.05n i think/ and for number 2 its x=14
Step-by-step explanation:
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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simplify 4^9/4^3
can someone help me with this?
Answer:
4096
Step-by-step explanation:
Need to know how you got it? Comment on this answer.
Help please due at 3 pm asap!!
15 people can fit comfortably into a 5 x 5 feet square. What is the ratio of the number of people and the rectangle's area?
Answer:
I think the answer was 190,000 people that can fit comfortably in 25 feet square. Moreover, 30 x 5280x 2=316,000 so take that times 0.6 and get the answer.
Not sure if this is exactly what you are wanting but is it 15:25??
what is the place value of 8 in fullowing number? 348000
Answer: 8000
Step-by-step explanation:
The 8 in the number 348,000 is in the thousands place.
So it represents the value of 8,000 .
Are EFG and HIJ similar
Answer:
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Hope it helps, have a fantastic day.
Step-by-step explanation:
We all know from geometry that all the angles of a triangle add up to 180 degrees.
We can form the following equation:
\(100 + 35 + E = 180\)
\(E\) here represents the measure of angle E.
Add together like terms:
\(135 +E = 180\)
Then subtract 135 from both sides:
\(E = 45\)
We can, likewise, form another equation for angle J :
\(100 + 45 + J = 180\)
Add together like terms:
\(145 +J = 180\)
Then subtract 145 from both sides:
\(J = 35\)
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Which graph represents a proportional relationship? On a coordinate plane, a straight line crosses the y-axis at (0, 0). On a coordinate plane, a straight line crosses the y-axis at (0, negative 2). On a coordinate plane, a straight line crosses the y-axis at (0, negative 3). On a coordinate plane, a straight line crosses the y-axis at (0, 3).
43 points
plz answer fast plz
Answer:1st one
Step-by-step explanation:
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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