Answer:
\( \sqrt{5 {}^{2} + {6}^{2} } \)
Step-by-step explanation:
Answer = hypotenuse =root ot base²+adjacent ²
Write the equation of the line that passes through (2, 0) and (0, 3).
Answer:
Y= -1.5x+3
Step-by-step explanation:
(Y-Y1)=m(x-x1)
0-3=m(2-0)
m= -1.5
Y= -1.5x+B
when y=3 and x=0 b=3
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
what's the circumference of a circle is C centimetres. which expression best represents the value of pie?
Answer:
C=2πr
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
Inscribed angles, I’m being asked for a, and b but I don’t understand this question
Given the figure of a circle.
There are 3 arcs with the following measures: a, 100, and 136
the sum of the measures of the arcs = 360
So, we can write the following equation:
\(a+100+136=360\)Solve the equation to find (a):
\(\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}\)The angle (b) is the Inscribed angle opposite the arc (a)
\(b=\frac{1}{2}a=\frac{1}{2}*124=62\)So, the answer will be:
\(\begin{gathered} a=124 \\ b=62 \end{gathered}\)What is the sale price of a bottle of olive oil originally priced at $6?
Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.
Step-by-step explanation:
how many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position? a) 1,020 b) 990 c) 980 d) 145 e) 165 f) none of the above.
By using the concept of Permutations and Combinations, the Counting Principle president, a vice-President, and the secretary of the club can be chosen in 990 ways.
Permutations and Combinations are about making arrangements and making selections on the basis of certain formulas
The re-arranging of any given given data which is sorted in some ordered way is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.
Selecting items from a huge source of items without taking any care about their order is called combinations.
We need to choose three members out of 11 members. So here we use a combination. So selecting r things from n things we can do selection in ncr ways, so we can choose of members in 11c1×10c1×9c1 ways
We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)
So, using this concept total number of ways to select a member of a club
=((11c1)×(10c1)×(9c1))
=11×10×9
=990 ways
Hence president, vice president and secretary can be selected by 990 ways
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An ordered pair is a(n) ________ of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.
When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.
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*****PLS HELP ASAP!!!****
I WILL GIVE 100 POINTS++
THIS IS FOR MY GRADE RECOVERY SO HELPP MEEE FASTTTTTTTTT**** pls
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $
.
The florist will break-even after
one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (
,
).
Answer:
Step-by-step explanation:
b
Angle pair: exterior
Solve for x
Answer:
11
Step-by-step explanation:
a plumber charges a rate of $65 per hour for his time but gives a discount of $7 per hour to senior citizens. write an expression which represents a senior citizen's total cost of plumber in 2 different ways
An equation highlighting the discount: y = (65 - 7)x
A simpler equation: y = 58x
Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance.
Costs Covered by
Business Insurance
Direct Operational Costs
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
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Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.
What is the simplest form of the product 3 sqrt 4x^2.
Answer:
6x
Step-by-step explanation:
\(\sqrt{4x^2}\) = \(\sqrt{4}\) × \(\sqrt{x^2}\) = 2 × x = 2x
Then
3\(\sqrt{4x^2}\)
= 3 × 2x
= 6x
F is a function that maps 6-bit binary strings to 4-bit binary strings. for x∈{0,1}6, f(x) is the string x with the last two bits removed. which property best describes the function f?
The property best describes the Function f IP 4- to- 1 Correspondance.
f is Nat Bijective since Not one-one.
x1= 010101 = 010111
then 2 and 7 2 maps to 0101
So f is mat one-one.
fip Mat 2 - to- 1 correspondance
Since
2 , = 0101 vo , 212 = 0101 01 , 23 = 010 / 1 1
One point 0101
go,
f is Not 2 - to- 1 correspondance.
7 12) is the storing a with the last two
bits mold so we have only $ possibility
of 4 strings going to a single storing.
f can not be 16 - to - 1 correspondance.
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u will get 15 points pls help
We need to set up and solve all of the angle measures add up to 180°
\(3x - 10 + 6x + 5 + 4x - 10 = 180\\\\7x - 15 = 180\\\\7x = 165\\\\x = 24\)
An urn contains 3 green balls and 5 red balls. Let R; be the event the i-th ball without replacement is red. Find P(R3|R2 R₁). 000 1111111
After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.
We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
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The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8
Convert 60 lbs to kg
60 pounds is equivalent to 27.2 kilograms.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor of 0.45359237. Multiply the number of pounds by 0.45359237 to get the number of kilograms. In this case, 60 pounds multiplied by 0.45359237 is equal to 27.2 kilograms.
It's important to note that this conversion is based on the International System of Units (SI) and may not be the same in other systems of measurement. Also, pounds (lbs) and kilograms (kg) are units of mass and should not be confused with other units of measurements such as length, area and volume.
It's important to use the correct unit of measurement for the task or the context, otherwise it could lead to errors and inaccurate results. Also, it's important to make sure that the measurements are made on the same scale, otherwise the conversions may not be accurate. Pounds are widely used in the United States and United Kingdom, while kilograms are used in both imperial and metric system.
This conversion is common when measuring weight or mass, such as in weight measurements, food recipes or ingredient measurements.
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Compare a dilation to the other transformations:
translation, reflection, rotation.
Answer:
A translation simply moves the graph, or pre-image, without changing the size or spinning the image. A reflection flips the pre-image across some line. A rotation spins the pre-image around a point. A dilation either expands or shrinks the pre-image.
Step-by-step explanation:
Hope this helps
Transformation involves changing the size, the position and the location of a shape.
DilationWhen a shape is dilated, the size of the shape is altered to form a new shape
Translation
When a shape is translated, the shape is moved across the coordinates, but the size remains unchanged
ReflectionWhen a shape is reflected, the shape is flipped across the coordinates, but the size remains unchanged
RotationWhen a shape is rotated, it must be rotated across a point, and the size remains unchanged
The above means that translation, reflection and rotation are rigid transformation, while dilation is not.
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PLEASE HELP ME ON THIS QUESTION!!! ASAP
Answer:
its B
Step-by-step explanation:
if u multiply 18x10 =180x12=2,160
the works man family car travles 165 miles over 3 hours. Their cousins family car travles 150 miles over 2 hours. If the family reunion is 900 miles away for both familys and asuming both familys continue at the same rate who will arive first? what is the speed of each family?
Thank you so much
Answer:
see answers down below
Step-by-step explanation:
The works man family is driving at a speed of 55 miles per hour
Their cousins family drives at 75 miles and hour. (use the miles/hours ratio like I told you in the last answer)
900 miles/75 miles traveled by their cousins each hour equals 12 hours.
If the works man family is driving at 55 miles and hour, 900 miles needed to be traveled/ 55 miles an hour equals 16.3636363636. This is more than 12 hours, and that means that their cousins will arrive first. Hope this helps!
The diagram shows r(90°, O)(ABCD). What are the coordinates of ABCD?
In order to determine the coordinates of ABCD, it is necessary to apply the following transformation to figure A'B'C'D':
r(-90°,0)(A'B'C'D')
or, which is equivalent, apply a clockwise rotation of 90°, which is represented as follow:
T(x,y) => (y,-x)
then, for the points A', B', C' and D', you obtain:
A'(2,1) => A(1,-2)
B'(-4,-2) => B(-2,4)
C'(-4,-6) => C(-6,4)
D'(-1,-3) => D(-3,1)
Set both given equations equal to zero, then combine them into one standard form equation. Simplify if possible.
7x + 3 = 5 and y - 1 = 6
Equation 1 -
Equation 2 -
Combined Equation -
Answers:
a. 7x - 2 = 0
b. 7x - y = 1
c. 7x + 8 = 0
d. y - 7 = 0
e. 7x - y = -5
f. y + 7 = 0
The standard equation is 7x + y = 9
layoff Ax + By = C is the usual form for two-variable direct equations. A standard form direct equation is, for case, 2x + 3y = 5. When an equation is given in this format, chancing both intercepts is rather simple( x and y). When trying to break systems involving two direct equations, this form is also relatively helpful.
Given
7x + 3 = 5 and y - 1 = 6
Add the bottoms from the two given equations to produce a single standard-form equation.
By shifting the constant fromR.H.S. toL.H.S., the equations are reset to zero.
7x + 3 - 5 = 0
7x - 2 = 0----( 1)
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0-----( 2)
Equation 1 and equation 2 must be combined.
7x - 2 + y - 7 = 0
7x + y - 9 = 0
layoff Ax + By = C is the equation's conventional form.
A, B, and C are integers and x and y are variables in this type of equation.
Accordingly, the common equation is
7x + y - 9 = 0
7x + y = 9
therefore the standard equation is 7x + y = 9
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2(3x−5)=3x+17 i need help
Answer:
2 ( 3x - 5 ) = 3x + 17
6x - 10 = 3x + 17
6x - 3x = 17 + 10
3x = 27
x = 27 /3
x= 9
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 24 cubic feet. A total of 24 boxes of paper were shipped with a combined volume of 441 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Answer:
9 small boxes and 15 large boxes
Step-by-step explanation:
x = small box
y = large box
x + y = 24
9x + 24y = 441
-9x - 9y = -216
15y = 225
y = 15
x + 15 = 24
x = 9
Answer:
Let x be the small boxes
Let y be the large boxes
x+y=24
9x+24y=441
Step-by-step explanation:
You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).
Please help a girl out I'm so confused
Answer:28
Step-by-step explanation: 7x4 Equals 28 basketballs
X = 7
Y = 6
Y = 24
X = ?
24/6=4
7x4 = 28
Your answer is 28
4. A decision-maker must choose between two lotteries, L
1
and L
2
. The lottery L
1
gives 0 dollars with probability 1/4 and 20 dollars with probability 3/4, whereas L
2
gives 12 dollars for sure. The decision-maker is an expected utility maximizer with utility u(w), where w is the change in the consumers wealth. Assume that u(⋅) is continuous and strictly increasing. (a) Suppose that the decision-maker is risk averse. Can you determine which lottery she will choose? (b) Suppose that someone who knows the outcome of the lottery L
1
is willing to sell the information to the decision-maker. If the decision-maker is risk neutral, how much would she be willing to pay to know the outcome of lottery L
1
before making her choice between L
1
and L
2
? (c) Suppose that the decision-maker is risk loving and, as in (b), she can buy information about the outcome of lottery L
1
prior to making her choice between L
1
and L
2
. Is she willing to pay a positive amount to know the outcome of the lottery?
In conclusion, a risk-loving decision-maker is willing to pay a positive amount to know the outcome of the lottery.
(a) As a risk-averse decision-maker, the individual prioritizes minimizing risk. To determine which lottery she will choose, we compare the expected utilities.
For L1, the expected utility is (0 * 1/4) + (20 * 3/4) = 15.
For L2, the expected utility is 12.
Since the expected utility of L1 is higher, the risk-averse decision-maker will choose L1.
(b) If the decision-maker is risk neutral, she is indifferent to risk and solely concerned with maximizing expected monetary outcomes.
In this case, she would be willing to pay the difference between the expected values of L1 and L2, which is 15 - 12 = 3 dollars, to know the outcome of L1.
(c) As a risk-loving decision-maker, the individual enjoys taking risks and is willing to pay for the opportunity.
If she can buy information about the outcome of L1, she would be willing to pay a positive amount greater than zero to know the outcome, as it would help her make a more informed decision and potentially increase her expected utility.
In conclusion, a risk-loving decision-maker is willing to pay a positive amount to know the outcome of the lottery.
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SDJ, Inc., has net working capital of $3,710, current liabilities of $5,500, and inventory of $4,440. a. What is the current ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) b. What is the quick ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) a. Current ratio times b. Quick ratio times
Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.
To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:
Current Ratio = Current Assets / Current Liabilities
Quick Ratio = (Current Assets - Inventory) / Current Liabilities
Given the information:
Net Working Capital = $3,710
Current Liabilities = $5,500
Inventory = $4,440
a. Current Ratio:
Current Assets = Net Working Capital + Current Liabilities
Current Assets = $3,710 + $5,500 = $9,210
Current Ratio = Current Assets / Current Liabilities
Current Ratio = $9,210 / $5,500
Current Ratio ≈ 1.68
b. Quick Ratio:
Quick Ratio = (Current Assets - Inventory) / Current Liabilities
Quick Ratio = ($9,210 - $4,440) / $5,500
Quick Ratio ≈ 0.80
a. Current ratio times:
Current Ratio times = Current Ratio * Net Working Capital
Current Ratio times = 1.68 * $3,710
Current Ratio times ≈ $6,229.68
b. Quick ratio times:
Quick Ratio times = Quick Ratio * Net Working Capital
Quick Ratio times = 0.80 * $3,710
Quick Ratio times ≈ $2,968.00
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Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Please helppp
Lines a, b, and c are parallel, and d and e are also parallel to each other.
What are parallel lines?No matter how far they may reach in either direction, parallel lines are ones that are equidistant from one another and never cross. Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. In this essay, let's study more about parallel lines.
Given the 5 lines and the angles made by them,
if ∠1 = ∠3 then a║b Because they intersect on the same line.
if ∠4 = ∠6 then c║b Because they intersect on the same line.
if ∠1 = ∠7, ∠2 = ∠8, ∠23 = ∠5, ∠11 = ∠17, ∠2 = ∠8, ∠24 = ∠18, ∠6 = ∠12, and some more than d║e Because they intersect on the same line.
Therefore from the above figure, if two lines intersect another line with the same angle then they are parallel lines.
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What’s the combined average of Altuve’s weighted average below:
Friday 3 for 5, Saturday 2 for 4, and Sunday 1 for 3
Answer:
The combined average of Altuve's weighted averages is 1 for 2 or 1/2
Step-by-step explanation:
Combined Average
On Friday, Altuve had 3 out of 5 successes
On Saturday, Altuve had 2 out of 4 successes
On Friday, Altuve had 1 out of 3 successes
The total successes are 3+2+1=6
The total tries are 5+4+3=12
The combined average is:
\(\displaystyle \bar x=\frac{6}{12}\)
Simplifying:
\(\displaystyle \bar x=\frac{1}{2}\)
The combined average of Altuve's weighted averages is 1 for 2 or 1/2