Answer:
y=-4/5x-1 3/5
or you can write as
y=-4/5x-8/5
Step-by-step explanation:
m=y1-y2/x1-x2
m=0-(-4)/-2-3 input
m=4/-5 solve
m=-4/5
we will find y-intercept now
we will input the points and the slope into the equation to find b
y=-4/5x+b
0=-4/5(-2)+b input
0=8/5+b multiply
-8/5=b isolate b
-1 3/5=b make improper fraction mixed number
so the y-intercept is -1 3/5
if we plug everything in we have equation
y=-4/5x - 1 3/5
or write y-intercept as improper fraction like
y=-4/5x - 8/5
Evaluate 3(m^2-2) when m=1.5
Answer:
0.75
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
3(1.5² -2) = 3(2.25 -2) = 3(0.25) = 0.75
Determine the exact surface area of the cylinder in terms of π.
cylinder with radius labeled 1 and three fourths centimeters and a height labeled 3 and one fourth centimeters
30 and three sixteenths times pi square centimeters
35 and seven eighths times pi square centimeters
11 and thirteen sixteenths times pi square centimeters
17 and one half times pi square centimeters
The exact surface area of the cylinder is 17.5π cm².
What is the surface area of cylinder?The surface area of a cylinder is the sum of the areas of all of its surfaces. A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that connects the edges of the base.
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Using the given values, we have:
r = 1 and three fourths centimeters = 1.75 cm
h = 3 and one fourth centimeters = 3.25 cm
Substituting these values into the formula, we get:
Surface Area = 2π(1.75)² + 2π(1.75)(3.25)
Surface Area = 2π(3.0625) + 2π(5.6875)
Surface Area = 6.125π + 11.375π
Surface Area = 17.5π
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Your answer is
Dante will run at least 33 miles this week. So far, he has run 15 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
The number of possible additional miles that he needs to run will be 18.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Dante will run at least 33 miles this week. So far, he has run 15 miles.
Then the number of possible additional miles that he needs to run.
Let t be the number of additional miles he will run. Then the inequality is given as,
15 + y ≤ 33
y ≤ 33 - 15
y ≤ 18
The number of possible additional miles that he needs to run will be 18.
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The perimeter of a square is represented by the expression 4(4x−6). Which statement is true?
Responses
A. The perimeter can also be represented by the expression 8x−2 because 4(4x−6) can be simplified to 8x−2.The perimeter can also be represented by the expression 8 x minus 2 because 4 times open paren 4 x minus 6 close paren can be simplified to 8 x minus 2 point
B. The perimeter can also be represented by the expression 8x−6 because 4(4x−6) can be simplified to 8x−6.The perimeter can also be represented by the expression 8 x minus 6 because 4 times open paren 4 x minus 6 close paren can be simplified to 8 x minus 6 point
C. The perimeter can also be represented by the expression 16x−6 because 4(4x−6) can be simplified to 16x−6.The perimeter can also be represented by the expression 16 x minus 6 because 4 times open paren 4 x minus 6 close paren can be simplified to 16 x minus 6 point
D. The perimeter can also be represented by the expression 16x−24 because 4(4x−6) can be simplified to 16x−24.
Answer:
A. The perimeter can also be represented by the expression 8x−2 because 4(4x−6) can be simplified to 8x−2.
what is the ratio of 86 and 128
Answer:67.1875%
Step-by-step explanation:
Convert ratio into fraction 86 / 128
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2014 and 2015 are as follows: 2014 Season: 72 76 77 75 73 71 73 75 2015 Season: 69 68 73 75 83 78 69 77 a. Calculate the mean (to the nearest whole number) and the standard deviation (to 2 decimals) of the golfer's scores, for both years. 2014 Mean Standard deviation 2015 Mean Standard deviation b. What is the primary difference in performance between 2014 and 2015? - Select your answer What improvement, if any, can be seen in the 2015 scores?
a) The mean and the standard deviation of the amateur golfer’s scores for both the years 2014 and 2015 are given below:2014 Season Mean of scores = (72+76+77+75+73+71+73+75) / 8
= 592 / 8 = 74
Standard Deviation (SD) of scores = 2.29 (rounded to 2 decimal places) 2015
Season Mean of scores
= (69+68+73+75+83+78+69+77) / 8
= 592 / 8
= 74
Standard Deviation (SD) of scores = 5.05 (rounded to 2 decimal places)b)
The primary difference in performance between 2014 and 2015 is that the standard deviation of the scores in 2015 is greater than that in 2014.
This indicates that the scores in 2015 were more spread out or varied than in 2014.
Improvement can be seen in the 2015 scores as the mean of scores in 2015 is less than the mean of scores in 2014. The lower mean score indicates an improvement in the performance of the amateur golfer.
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35 points!!!!
i need an answer
Answer:
pretty sure it's A
Step-by-step explanation:
scalene is no equal sides and obtuse is an angle greater than 90°
vien is employed on a casual basis. his rate of pay is shown below.last week vien worked from 11:30am until 3:30 pm. on thursday from 8:30am till 2:00pm on Saturday, and 12 noon till 6:00pm on sunday. how much did vien earn last week
The total earnings of Vien is $52.5
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given Here: Vien earns $3 per hour.
And she worked from 11:30-3:30 (4 hours)
On thursday she worked from 8:30-2 pm (7.5 hours)
On sunday she worked from 12-6:00 pm (6 hours)
Thus the total number of working hours is = 4+7.5+6
=17.5 hours
Therefore the total cost is = 17.5×3
=$52.5
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write 26/50 as a decimal fraction
Answer:
13/25
Step-by-step explanation:
hope this helps :)
(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
Answer:
(1 , -2/3)
Step-by-step explanation:
when y =0
3×0-2x=-2
0-2x=-2
divide both side by -2
x=1
when x=0
3y-2×0=-2
3y-0=-2
divide both side by 3
y=-2/3
if two sides a and b and the included angle c are known in a triangle, then the area k is found using the formula kequals ______.
If two sides a and b and the included angle c are known in a triangle, then the area k is found using the formula k equals 1/2(ab sin c)
Draw a triangle ABC with side lengths a, b, and c, and height h from vertex C to side AB.
Use the definition of sine to write sin(c) as the ratio of the opposite side to the hypotenuse in the right triangle CHC': sin(c) = h / c.
Rearrange the above equation to get h = c sin(c).
The area of the triangle ABC can be calculated as half the product of the base and height, which is k = (1/2)ab sin(c).
Substituting h = c sin(c) in the above equation yields k = (1/2)ab sin(c), which is the formula for the area of a triangle when two sides and the included angle are known.
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Please help me ASAP!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The only reason I am here is because I just want to earn points so yeah I just want.And I am voice typing this with my auto correct me but nobody cares just email m and I am voice typing this in my auto correct me but nobody cares just email me your door something you can see my whatever bye
Neeeeed helpppppppppp
Answer:
The answer is x = -3.
Step-by-step explanation:
To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like \(7+x+2x+7=5\).
Next, begin to solve the equation by combining like terms, which will look like \(3x+14=5\). Then, subtract 14 from both sides of the equation, which will look like \(3x=-9\), and divide both sides by 3 and simplify, which will look like \(x=-3\). The final answer is x = -3.
A rectangular box with a square base, an open top, and a volume of 32,000 cm3 is to be made. What is the minimum surface area for the box
the minimum surface area for the box is 4800 cm².
Forming the Equation of SurfaceArea
It is given that the given rectangular box is square-based and top is open. hence, it consists of square and 4 rectangles.
Let the side of the square be a, and height of the box be h.
Then, the total surface area of the box will be given by,
S = a² + 4ah _________ (1)
Also, it is given that the volume of the box is, V = 32000 cm³
The volume of the rectangular box, V = a² h
Eliminating One of the Variables From the Equation
The volume of the rectangular box, V = a² h
⇒ a² h = 32000
⇒ h = 32000/a² _______ (2)
Substituting this value of h in equation (1), we get,
S = a² +4a(32000/a²)
S = a²+128000/a
Minimizing the Surface Area Equation
To find the minima, put, dS/da = 0
dS/da = 2a-128000/a²
⇒ 2a-128000/a² = 0
Multiplying the whole equation with a², we get,
2a³-128000 = 0
⇒ 2a³ = 128000
⇒ a³ = 128000/2
⇒ a³ = 64000
⇒ a = 40 cm
Calculating the Minimum Surface Area
From, equation (2), h = 32000/(40)²
h = 32000/1600
h = 20 cm
Now, substituting the computed values of a and h in equation (1), we get,
S = (40)² +4(40)(20)
S = 1600 +3200
S = 4800 cm²
∴ The minimum surface area of the box is 4800 cm².
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identify the construction that the figure represents
Answer:
(b) congruent segments
Step-by-step explanation:
One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.
_____
Additional comment
The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.
if an e statement is true, what is the truth value of its corresponding a statement? true false logically undetermined
If an "E" statement is true, the truth value of its corresponding "A" statement is logically undetermined.
An "E" statement is a universal negative statement, which means that it asserts that no members of a certain class have a specific property. For example, "No dogs are fish" is an "E" statement. On the other hand, an "A" statement is a universal affirmative statement, asserting that all members of a class have a specific property. For example, "All dogs are mammals" is an "A" statement.
When an "E" statement is true, it only provides information about the nonexistence of a certain relationship between two classes. It doesn't provide enough information to determine the truth value of its corresponding "A" statement. The truth value of the "A" statement could be true, false, or undetermined, depending on the specific classes and properties involved.
In summary, if an "E" statement is true, the truth value of its corresponding "A" statement is logically undetermined, as there is not enough information available to determine whether the "A" statement is true or false.
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Practice: An object is launched into the air with an initial velocity of 48ft/sec. from the topof a building 288 ft high. The height h(t) of the object after t seconds is given by h(t) =-16t2 + 48t + 288.
R)
Given the function of the height of the object, we can obtain its maximum by using its derivative, as shown below.
\(\begin{gathered} h^{\prime}(t)=0\to\text{critical point} \\ h^{\prime}(t)=-32t+48 \\ \Rightarrow h^{\prime}(t)=0 \\ \Rightarrow-32t+48=0 \\ \Rightarrow t=\frac{48}{32}=\frac{3}{2} \end{gathered}\)Then, the object will reach its maximum height at t=3/2, which is
\(h(\frac{3}{2})=-16(\frac{3}{2})^2+48\cdot\frac{3}{2}+288=324\)The time it takes for the object to reach its maximum height is 1.5 seconds.
The maximum height is 324 ft.
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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What is the area of a triangle with sides 56 cm, 60 cm and 52 cm?
Step-by-step explanation:
LxW
Answer:
A=1344cm²
Step-by-step explanation:
Adjusting entries are needed to correctly measure the ________. A) ending balance in the Cash account. B) net income (loss) on the balance sheet. C) net income (loss) on the income statement. D) beginning balance in the Cash account.
The complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
What is balance sheet?The term balance sheet refers to a financial statement that reports a company's assets, liabilities, and shareholder equity at a specific point in time.
Given is to complete the statement as -
"Adjusting entries are needed to correctly measure the ________."
We can write the complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
Therefore, the complete statement as -
"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."
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I need a fast answer to (4x) + (3x -8) = 90 for vertical angles.
Answer:
x = 14
4x = 56
3x - 8 = 34
Step-by-step explanation:
(4x) + (3x -8) = 90
7x + (-8) = 90
7x - 8 = 90
7x (- 8 + 8) = 90 + 8
7x = 98
7x/7 = 98/7
x = 14
4 x 14 = 56
3 x 14 = 42 - 8 = 34
56 + 34 = 90
What is the first step to do when solving this equation for x:
3x−52/2 =5
options:
add 5 to each side of the equal sign
subtract 5 on each side of the equal sign
divide each side of the equal sign by 3
multiply each side of the equal sign by 2
Answer:
the equation has a fraction of -52/2 to get rid of that you need to Multiply both sides by 2
(refer to figure 26, area 2.) the visibility and cloud clearance requirements to operate vfr during daylight hours over the town of cooperstown between 1,200 feet agl and 10,000 feet msl are
The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.
Determine how to find the visibility and cloud clearance requirements to operate VFR?The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:
1. Visibility: The minimum visibility required is 3 statute miles.
2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.
According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.
This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.
Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.
Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.
These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.
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what is equivialent to 8\11
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
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Pls brainliest...
2. Grafiquen un triángulo cualquiera y marquen sus ángulos exteriores con color.
a) A continuación grafiquen esos ángulos de forma tal que queden consecutivos.
b) ¿A qué es igual la suma de los tres ángulos exteriores?
c) Enuncien la propiedad.
Answer:
b
Step-by-step explanation:
Please help me answer this.
What is the value of k in the product or powers below? 10^-3 • 10 • 10= 10^-3= 1/10^3
Answer:
-1
Step-by-step explanation:
-1.
Step-by-step explanation:
Note: 10 = 10^1 so:
10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).
So 10^(k - 2) = 10 ^(-3)
and k - 2 = -3
k = 2 - 3 = -1.
The points in the table lie on a line. Find the slope of the line.
Answer:
\( - \frac{4}{5} \)
Step-by-step explanation:
Slope of line
\( = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} \)
Given the point A(-3, 5), find the image after performing the following two transformations First: Translation (x, y) -> (x, y - 4) Reflection: in the y - axis. PLEASE HELP.
Answer:
A' (3,1)
Step-by-step explanation:
You start with (-3,5)
Translation Down 4: (-3,1), just subtract 4 from the y-coordinate
Reflection over the y-axis: (3,1), multiply -1 to the x-coordinate
The picture below shows the graph of which inequality?
The graph shows the inequality x² ≤ 16
How find the inequality for the graph?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
Inequalities are often used to describe conditions or constraints in real-world problems.
You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:
x² ≤ 16
x ≤ ±√16
x ≤ ±4
x ≤ -4 or x ≤ 4
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