Consider the point:(r,θ)=(1.5,0.75π).On the graph below, drag the purple point to the location (1.5,0.75π), and then select the equivalent representations of the point from the provided list.where would the point be on the graph?
Answers
Point (r,θ)=(1.5,0.75π).
send to (1.5,0.75π),
Purple point ,is at ( 1.5 , (5π /6 )+1/3 )
Then
0.75π = (3/4)π
Now Drag purple point to (1.5, (3/4)π )
Substract (5π/6 ) + 1/3 - (3/4) π = (5/6 - 3/4)•π + 1/3
. = (20-18)/24 π + 1/3
. = π/12 + 1/3
Then answer is
Point will be at same x distance 1.5
and will be at y distance = π/12 + 1/3 , from purple point
Related Questions
Find -63 + ( - 198) + ( - 11).
Answers
ANSWER:
-272
STEP-BY-STEP EXPLANATION:
We have the following operation:
\(\: -63\: +\: \mleft(\: -\: 198\mright)\: +\: \mleft(\: -\: 11\mright)\)As they are all of the same (negative) sign, they are added and the negative sign is put, just like this:
\(\: -63\: \: \: -\: 198\: \: -\: 11=-261-11=-272\)Pls help meee show work if you can ty
Answers
PLEASE HELP FAST!!! IT IS URGENT!!!
Answers
Answer:
Step-by-step explanation:
No 10% of condition are not met :)
Multiple Representations Which of these ratios are proportional to 55/40 ?
A 165/120
B 110:80
C 66/48
D 64 to 88
Answers
All the given ratios are proportional to 55/40.
What is an expression?
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To determine whether a ratio is proportional to 55/40, we need to simplify 55/40 to the lowest terms and then see if the other ratio simplifies to the same value.
55/40 can be simplified by dividing both the numerator and denominator by 5:
55/40 = 11/8
Now, we can simplify each of the given ratios:
A) 165/120 = 11/8, which is proportional to 55/40
B) 110:80 = 11/8, which is proportional to 55/40
C) 66/48 can be simplified by dividing both numerator and denominator by 6: 66/48 = 11/8, which is proportional to 55/40
D) 64 to 88 can be simplified by dividing both numbers by 8: 8 to 11, which is proportional to 55/40
Therefore, all of the given ratios are proportional to 55/40.
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Graph the set {xx<4} on the number line.Then, write the set using interval notation.-7 -6 -5 4 -3 -2- 0 1 2 345 6 7
Answers
Explanation
An open interval at 4 must be drawn, including all values less than 4, like this:
Using interval notation we have:
\((\propto,4)\)
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Draw the polygon with the given vertices in a coordinate plane.
22).(-5,5),(-4,1) pls help
Answers
Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.
What are polygons?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.
What is a coordinate plane?A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.
Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.
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PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answers
Answer:3.8
Step-by-step explanation:
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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please help me asap!!
Answers
Answer:
h=6
Step-by-step explanation:
h/8=12/16
16h=96
h=6
Hope this helps
Helppp find the value of y lamooooo
Answers
Answer:
4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)
so, solving that eq,
4x-2x = 9+13 (grouping variables and constants)
2x=22
x=11
also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)
so, solving for x in 2x+9,
2(11)+9 = 22+9 = 31°
now, 31 + 3y+2 = 180
3y = 180 - 33
y = 147/3 = 49
(hoping you understood the calculations :)
On January 1, Year 1, Jana started a small flower merchandising business that she named Jana’s Flowers. The company experienced the following events during the first year of operation: Started the business by issuing common stock for $43,000 cash. Paid $28,000 cash to purchase inventory. Sold merchandise that cost $20,000 for $42,000 on account. Collected $37,000 cash from accounts receivable. Paid $9,800 for operating expenses. Required a. Organize ledger accounts under an accounting equation and record the events in the accounts. In the last column of the table, provide appropriate account titles for the Retained Earnings amounts. b-1. Prepare an income statement. b-2. Prepare a balance sheet. b-3. Prepare a statement of cash flows. c. Since Jana sold inventory for $42,000, she will be able to recover more than half of the $43,000 she invested in the stock. Do you agree with this statement?
Answers
a) The organization of ledger accounts under an accounting equation and journal entries are as follows:
Accounting Equation:Assets = Liabilities + Equity
Cash + Inventory + A/Receivable C.Stock R/Earnings
1. $43,000 $43,000
2. -28,000 $28,000
3. $42,000 42,000 S/Revenue
4. -20,000 -20,000 COGS
5. 37,000 -37,000
6. -9,800 -9,800 Op Exp.
Bal. $42,200 $8,000 $5,000 $43,000 $12,200
Journal Entries:Debit Cash $43,000
Credit Common Stock $43,000
Debit Inventory $28,000
Credit Cash $28,000
Debit Accounts Receivable $42,000
Credit Sales Revenue $42,000
Debit Cost of goods sold $20,000
Credit Inventory $20,000
Debit Cash $37,000
Credit Accounts Receivable $37,000
Debit Operating expenses $9,800
Credit Cash $9,800
b1)
Jana's Flowers
Income StatementFor the year ended December 31, Year 1
Sales Revenue $42,000
Cost of goods sold $20,000
Gross profit $22,000
Operating expenses $9,800
Net income $12,200
b2) Jana's Flowers
Balance SheetDecember 31, Year 1
Cash $42,200
Accounts Receivable $5,000
Inventory $8,000
Total assets $55,200
Common Stock $43,000
Retained Earnings 12,200
Total equity $55,200
b3) Jana's Flowers
Statement of Cash FlowsFor the year ended December 31, Year 1
Net income $12,200
Changes in working capital:
Accounts Receivable (5,000)
Inventory (8,000)
Operating cash flow ($800)
Financing activities:
Common Stock $43,000
Cash flows $42,200
c) I do not agree with this statement. It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business. So far, she has made $12,200 from her investment.
Data Analysis:Cash $43,000 Common Stock $43,000
Inventory $28,000 cash $28,000
Accounts Receivable $42,000 Sales Revenue $42,000
Cost of goods sold $20,000 Inventory $20,000
Cash $37,000 Accounts Receivable $37,000
Operating expenses $9,800 Cash $9,800
Thus, it will take time for Jana to recover her investment in the business.
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Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)
Answers
To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.
The base is formed by the segment connecting point A and point B.
While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.
The formula for area of trapezoid is given as:
A = b (h1 + h2) / 2
Where,
b = base of the trapezoid = 3 – (-4) = 7
h1 = shorter height = 2 – (-2) = 4
h2 = longer height = 2 – (-5) = 7
Therefore the area is:
A = 7 (4 + 7) / 2
A = 77 / 2
A = 38.5
What are the zeros of the quadratic function?
f(x)=2x2+x−3
Enter your answers in the boxes.
The zeros of f(x) are ---
and ---
Answers
Answer:
x=-3/2 and x=1 is the zeros of the equation
Question 5 of 10
Which of the following describes the non-rigid transformation in the function
shown below?
y+ 5 = − 2(x − 1)²2
-
OA. The graph is stretched vertically by a factor of 2.
OB. The graph is shifted 5 units down.
OC. The graph is reflected across the x-axis.
OD. The graph is shifted 1 unit right.
Answers
Answer:
the answer is B. because I had the same problem
CICISES 1. What is the value of the expression -2(3x - 2) + x + 9 when x = -3? A. -16 B. -2 C. 28 D. 34 which one
Answers
We will replace x with the expression:
Figure ABCDE has an area of 26 cm/. ABD and CBE are straight lines.
Find the area of the shaded triangle BDE,
Answers
The area of the shaded triangle BDE is 4 cm²
What is Area?The area is the amount of space within the perimeter of a 2D shape.
area of ΔADE= / *b *h
=1/2 * 8 *5
= 20 cm²
area of ΔBCD
= 26-20
= 6 cm²
area of CDE
= 1/2* 5 * 4
= 10 cm²
Area of shaded triangle,
=10-6
=4 cm²
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What is the coefficient of y in the expression 2x4 + 3y
Answers
The coefficient of y in the expression:
\(2x^4+3y\)Is 3.
(-37)+(-2) please tell quickly
Answers
Answer:-39
Step-by-step explanation:
The first thing is to open the bracket.
By doing that, the question becomes -37-2.
note that plus×minus=minus.
Hence,-39 as the final answer
The measures of the three angles in a tri-
angle are in the ratio 1:2:3.
Answers
Answer:
30,60,90
Step-by-step explanation:
triangle are in the ratio 1:2:3.
So
Angles=X,2x,3x
X+2x+3x=180
6x=180
X=180/6
X=30
So angles are 30,60,90
The perimeter of a rectangle is 28 feet. Thength is 4 feet more than the width. What is the length of the Rectangle?
Answers
Answer:
length = 9 feet
Step-by-step explanation:
We know that the formula for perimeter (P) is P = 2w + 2l
Because we're told that the length (l) is 4 feet more than the width (w), our formula for length is l = w + 4
We can now substitute w + 4 for l in the perimeter formula and 28 for P. This will allows us to first solve for the width:
\(28 = 2(w+4)+2w\\28=2w+8+2w\\28=4w+8\\20=4w\\5=w\)
Now we can plug in 5 for w in our length formula to find the length:
\(l = 5 + 4\\l = 9\)
We can check our solutions by plugging in 5 for w and 9 for l in the perimeter formula and check whether we get 28 as an answer:
\(2(9) + 2(5)=28\\18+10=28\\28=28\)
If a patient takes 60 mg of medication three times a day how many grams will the patient take in four days?
Answers
9514 1404 393
Answer:
0.720 grams
Step-by-step explanation:
The total number of doses in the 4-day period is ...
(3 doses/day)(4 days) = 12 doses
At 0.060 g/dose, the total number of grams is ...
(0.060 g/dose)(12 doses) = 0.720 grams . . . in 4 days
k is decreased by 20
Answers
decreased means to take away/subtract, “k” is being subtracted by 20, therefore k-20
Hope this helps! have a wonderful day!
Why is this a parallelogram?
Answers
Answer:
b both pairs of opposite sides are parallel
Answer:
B or the second choice from the top
Step-by-step explanation:
The definition of a parallelogram, in my own words, is a quadrilateral with two pairs of opposite parallel sides (hence the name). Therefore, the second choice from the top is correct. Hope this helps!
ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Answers
Answer: m∠CAD = 81°
Step-by-step explanation: Diagonal is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
Thomas obtained a bank loan of k10 000 from BSP bank.He repays the money with 36% interest in one year.Calculate his installment payment he pays in one fortnight?
Answers
Thomas' installment payment that he pays in one fortnight is approximately k523.08.
To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).
First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:
Interest = Principal × Interest Rate
= k10,000 × 0.36
= k3,600
The total amount to be repaid is the sum of the principal and the interest:
Total Amount = Principal + Interest
= k10,000 + k3,600
= k13,600
Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:
Number of Fortnights = 52 weeks / 2
= 26 fortnights
To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:
Installment Payment = Total Amount / Number of Fortnights
= k13,600 / 26
≈ k523.08
Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.
It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.
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PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....
Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...
a) In how many days will both options end up paying about the same amount in total?
Answers
Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f
Answer: It's not possible
Step-by-step explanation:
Hi there I don't usually ask questions but I'm having a bit of trouble solving for X on this equation. 1+(3x-3)=1 You don't necessarily have to give me the answer, a break down would be just fine :)
Answers
Answer:
\(x=1\)
Step-by-step explanation:
\(1+(3x-3)=1\)
First, you have to take the one that is outside of the Parenthesis and take it to the other side. That would mean it would be this:
\(3x-3=1-1\)
1 - 1 is 0
\(3x-3=0\\\)
Move the -3 to the other side, which makes it positive;
\(3x=3\)
Divide both sides by 3
\(x=1\)
If you want to check it, you can replace 1 in the original equation:
\(1+(3X1-3)=1\)
\(1+(0)=1\)
\(1=1\)
So x=1
Helppppppp I will give brainliest Which equation makes a straight line?
Oy= -5x
Oy=2x-1
Oy=3* + 4
y = 4x - 5x?
Answers
Answer:
a) The equation of the straight line passing through the origin and having slope m=-5
y = -5x
b) The equation of the straight line in slope-intercept form
y = 2 x -1
Step-by-step explanation:
Step(i):-
We know that the equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m(x-x₁)
a)
Given that the equation of the straight line passing through the origin and having slope m=-5
y = -5x
Step(ii):-
b)
Given that the equation of the straight line in slope-intercept form
y = m x +c
y = 2 x -1
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit
Answers
Complete question :
A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
Leg Press (reps)|40-yard Dash (s)
15 |5.2
18 |6.3
8 |6.8
30 |8.2
26 |8.0
12 |5.3
21 |5.9
Answer:
ŷ = 0.1073X + 4.5365
6.9
Step-by-step explanation:
Leg Press (reps)X:
15
18
8
30
26
12
21
Y:
5.2
6.3
6.8
8.2
8.0
5.3
5.9
Using a regression calculator :
The equation of line of best fit is :
ŷ = 0.1073X + 4.5365
Slope or gradient = 0.1073
Intercept = 4.5365
X = independent or predictor variable (leg press)
Y = predicted variable (40 yard dash)
B)
X = 22
Y = 0.1073(22) + 4.5365
Y = 6.8971
Y = 6.9