Answer:
x should be 11
Step-by-step explanation:
What we know:
The angles shown are 13x + 12, and 2x + 3
The two angles are complementary, which means they equal 180 degrees.
(13x + 12) + (2x + 3) = 180
15x + 15 = 180
15x = 180 - 15
15x = 165
x = 11
As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change? Show your work.
PLZ HELP ME
Answer:
2.25
Step-by-step explanation:
I think it is this in fraction form 2 1/4
Please help I need help
adding a tracking variable to count the number of times a loop executes can be an effective way to measure of answer choicestruefalse
Adding a tracking variable to count the number of times a loop executes can be an effective way to measure the answer choice's truthfulness.
Adding a tracking variable to count the number of loop executions can indeed be a useful technique for various purposes. By incrementing the tracking variable within the loop, we can keep track of the number of times the loop body is executed. This information can be valuable in measuring the accuracy or efficiency of the loop and evaluating the truthfulness of an answer choice.
For example, when comparing different algorithms or approaches, counting loop iterations can help determine which solution performs better. It provides a quantitative measure to assess time complexity or resource usage. Additionally, the tracking variable can be used to validate the correctness of a loop by ensuring that the expected number of iterations is reached.
By monitoring the loop execution count, we can gain insights into the behavior of the code, identify potential issues such as infinite loops, and make informed decisions based on the observed results. Hence, adding a tracking variable to count loop executions can be an effective technique to measure the truthfulness or performance of an answer choice in certain scenarios.
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Find the measure of each missing angle.
The measure of angles are:
3. <1 = 63, <2= 49, <3= 87, <4= 44
4. <1= 52, <2= 79, <3= 38
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments. When the values of the other two angles are known, one can utilise the angle sum property to determine the measure of an unknown interior angle.
3. <3 + 93=1 80 (linear pair)
<3 = 87
<2 = 49 (Vertical opposite angle)
<3 + <4 + 49= 180 (Angle sum property)
87 + <4 + 49= 180
<4 = 44
and, <2 + <1 + 68= 180 (Angle sum property)
49+ <1 + 68= 180
<1 = 63
4. <3 = 38 (alternate interior angle)
<2 + <3 + 63= 180 (Angle sum property)
38+ <2 + 63= 180
<2 = 79
and, <1 + 90 + 38= 180 (Angle sum property)
<1= 52
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abby is comparing monthly phone charges from two companies. phenix charges $30 plus $.5 per minute. Nuphone charges $40 plus $.10 per minute. in how many minutes will the total be the same
Answer:
In 25 minutes, the monthly phone charges of both companies will be the same.
Step-by-step explanation:
If we allow m to represent the number of minutes, we can create two equations for C, the total cost of phone charges from both companies:
Phoenix equation: C = 0.5m + 30
Nuphone equation: C - 0.10m + 40
Now, we can set the two equations equal to each other. Solving for m will show us how many minutes must Abby use for the total cost at both companies to be the same:
0.5m + 30 = 0.10m + 40
Step 1: Subtract 30 from both sides:
(0.5m + 30 = 0.10m + 40) - 30
0.5m = 0.10m + 10
Step 2: Subtract 0.10m from both sides:
(0.5m = 0.10m + 10) - 0.10m
0.4m = 10
Step 3: Divide both sides by 0.4 to solve for m (the number of minutes it takes for the total cost of both companies to be the same)
(0.4m = 10) / 0.4
m = 25
Thus, Abby would need to use 25 minutes for the total cost at both companies to be the same.
Optional Step 4: Check the validity of the answer by plugging in 25 for m in both equations and seeing if we get the same answer:
Checking m = 25 with Phoenix equation:
C = 0.5(25) + 30
C = 12.5 + 30
C = 42.5
Checking m = 25 with Nuphone equation:
C = 0.10(25) + 40
C = 2.5 + 40
C = 42.5
Thus, m = 25 is the correct answer.
The equation d=m/v can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
A: dm= V
B: d/m= V
C: m/d= V
D: m-d= V
Answer:
B
Step-by-step explanation:
because equal to mass over volume
On a map 4.5 inches is equal to 99 miles. How many miles would represent 1 inch?
Answer:
22 inches is the answer
Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
Sam paid $55 for an hour of tutoring on Mondays and $95 for two hours on Tuesday. The hourly rate is $ per hour.The initial fee is $ .
To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:
\(m=95-55=40\)So the hourly rate is $40.
Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:
\(b=55-40=15\)So the initial fee is $15.
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 800 cubic centimeters when the pressure is 450 millimeters of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
SOLUTION:
Step 1:
In this question, we are given the following:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 800 cubic centimeters when the pressure is 450 millimeters of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
Step 2:
This is an application of Boyle's law which states that:
Boyle’s law is a gas law that states that the pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it. In other words, the pressure and volume of a gas are inversely proportional to each other as long as the temperature and the quantity of gas are kept constant.
\(\begin{gathered} Mathematically,\text{ we have that:} \\ V\text{ }\propto\text{ }\frac{1}{P} \\ Then,\text{ we have that:} \\ V\text{ =}\frac{k}{P}\text{ \lparen where k is a constant \rparen} \end{gathered}\)\(when\text{ V = 800 cubic centimetres , then P = 450 mm Hg}\)\(\begin{gathered} 800\text{ =}\frac{k}{450} \\ cross-multiply,\text{ we have that:} \\ \text{k = 800 x 450 = 360,000} \end{gathered}\)\(\begin{gathered} Then,\text{ the equation connecting V and P =} \\ \text{ V }=\frac{360,000}{P} \end{gathered}\)Next:
\(when\text{ P = 200 mm Hg, we have that:}\)\(\begin{gathered} V\text{ = }\frac{360,000}{200} \\ \text{V = 1800 cubic centimetres } \end{gathered}\)CONCLUSION:
The volume when the pressure is 200 mm Hg is:
\(V\text{ = 1800 cubic centimetres}\)Last month, Abella paid $2. 40 for a dozen eggs at the grocery store. This month, due to a shortage at the same grocery store, Abella pays $3. 00 for a dozen eggs
Abella paid $2.40 for a dozen eggs last month and $3.00 for the same number of eggs this month.
The percentage increase in the price of the eggs this month can be calculated as follows:
Step 1: Calculate the difference in prices from last month to this month
$3.00 - $2.40 = $0.60
Step 2: Calculate the percentage increase in price
Percentage increase in price = (Increase in price / Original price) x 100%
Percentage increase in price = ($0.60 / $2.40) x 100%
Percentage increase in price = 0.25 x 100%
Percentage increase in price = 25%
Therefore, the percentage increase in the price of the eggs this month is 25%.
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9th grade math please help. A B C or D?
Answer:
B = no solution
Step-by-step explanation:
y = -5x - 3
-5x - y - 3 = 0
Substitute
-5x - (-5x - 3) - 3 = 0
Distributive Property
-5x + 5x + 3 - 3 = 0
Combine Like terms
0 + 3 - 3 = 0
0 + 0 = 0
0 = 0
This system has no solutions. You don't have a value for x or y
Hope this helped
YALL B) HELP ME NOOOOWWWWWWWW!
Answer:
A) 0."36"
B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.
Step-by-step explanation:
A triangle has sides with lengths of 39 mm 56 mm and 37 mm is it a right triangle
No it is not a right angled triangle.
What is a right angled triangle?A right triangle is a triangle with a 90° angle as its only angle. There CANNOT be two 90° angles in a right triangle. This is so that a triangle's angles can sum up to 180°. The right triangle's other two angles must sum up to 90 degrees given that one angle is 90 degrees.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with PQR as the right angle.acc to our question-
a= 39b=56c=37Hence, no sides are equal to 90 degrees.
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Find two unit vectors orthogonal to both ⟨4,6,1⟩ and ⟨−1,1,0⟩.
Two unit vectors orthogonal to both ⟨4, 6, 1⟩ and ⟨-1, 1, 0⟩ are approximately U1 ≈ (-0.099, -0.099, 0.992) and U2 ≈ (0.640, -0.425, -0.641), obtained by taking the cross product and normalizing the vectors.
To find two unit vectors orthogonal (perpendicular) to both ⟨4, 6, 1⟩ and ⟨-1, 1, 0⟩, we can use the cross product of these vectors. The cross product will give us a vector that is orthogonal to both input vectors.
Let's calculate the cross product:
⟨4, 6, 1⟩ × ⟨-1, 1, 0⟩ = (6 * 0 - 1 * 1, 1 * -1 - 0 * 4, 4 * 1 - 6 * -1)
= (-1, -1, 10)
Now, we have one vector that is orthogonal to both ⟨4, 6, 1⟩ and ⟨-1, 1, 0⟩, which is (-1, -1, 10). To find a unit vector in the same direction, we need to normalize it by dividing it by its magnitude:
Magnitude of the vector = √((-1)^2 + (-1)^2 + 10^2)
= √(1 + 1 + 100)
= √102
≈ 10.0995
Unit vector U1 = (-1, -1, 10) / 10.0995
≈ (-0.099, -0.099, 0.992)
Now, to find the second unit vector, we can take the cross product of the two given vectors:
⟨4, 6, 1⟩ × (-0.099, -0.099, 0.992) = (6 * 0.992 - 1 * -0.099, 1 * -0.099 - 0.992 * 4, 4 * -0.099 - 6 * 0.992)
≈ (5.954, -3.959, -5.934)
Again, we normalize this vector to obtain the second unit vector:
Magnitude of the vector = √(5.954^2 + (-3.959)^2 + (-5.934)^2)
≈ √(35.465 + 15.677 + 35.196)
≈ √86.338
≈ 9.296
Unit vector U2 = (5.954, -3.959, -5.934) / 9.296
≈ (0.640, -0.425, -0.641)
Therefore, two unit vectors orthogonal to both ⟨4, 6, 1⟩ and ⟨-1, 1, 0⟩ are approximately U1 ≈ (-0.099, -0.099, 0.992) and U2 ≈ (0.640, -0.425, -0.641).
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find the vector parametrization ????(????) of the line that passes through the points (2,5,3) and (6,9,6). (give your answer in the form ⟨∗,∗,∗⟩. express numbers in exact form. use symbolic notation and fractions where needed.
The vector parametrization for the equation of line passing through points (2,5,3) and (6,9,6) is: r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K).
WE know that parameterization of the a curve is provided by each vector-valued function.
Since the pair of equations x = x (t) and y = y (t) that express the coordinates of a point along a curve in terms of such a parameter is known as a parameterization of a curve.
Given passing points:
(2,5,3) and (6,9,6)
In vector form;
Let vector a = 2i + 5j + 3k
Let vector b = 6i + 9j + 6K
Let μ be any constant.
Then, using the vector parametrization:
The equation of line in vector form for the given points is;
r(t)= a + μb
r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K)
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Correct question:
Find the vector parametrization for equation of the line that passes through the points (2,5,3) and (6,9,6). (Give your answer in the form 〈∗,∗,∗〉. Express numbers in exact form. Use symbolic notation and fractions where needed.)
r(t)=?
Find the general solutions to the following ordinary differential equations i) d²y/dx² +6 dy/dx +9y=0. ii) d²z/dt² + 4/dz/dt = 0. iii) = 1/3 d/r (r² ds/dr) = 1
i) The general solution to the differential equation is y = (C₁ + C₂x)e^(-3x).
ii) The general solution to the differential equation is z = C₁e^(-2t) + C₂.
iii) The given equation 1/3 (d/dr)(r²(ds/dr)) = 1 can be solved to obtain the general solution.
i) To solve the first differential equation, we can assume a solution of the form y = e^(rx). Substituting this into the differential equation, we obtain the characteristic equation r² + 6r + 9 = 0. Solving this quadratic equation gives us a repeated root of -3. Therefore, the general solution is y = (C₁ + C₂x)e^(-3x), where C₁ and C₂ are arbitrary constants.
ii) The second differential equation can be solved using a similar approach. Assuming a solution of the form z = e^(rt), we substitute it into the equation to obtain the characteristic equation r² + 4r = 0. Solving this equation gives us two roots, r = 0 and r = -4. Therefore, the general solution is z = C₁e^(-4t) + C₂, where C₁ and C₂ are arbitrary constants.
iii) The given equation 1/3 (d/dr)(r²(ds/dr)) = 1 can be solved to obtain the general solution.
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Drag and drop each example to the property it is demonstrating.
Commutative Associative Distributive
The example demonstrating the commutative property is 12*8 = 8*12, the examples demonstrating associative property are (2+3)+6 = 2+(3+6) and 6*(7*3) = (6*7)*3 and the examples for the distributive property are 5*(2+5) = 10+25 and 4*(3+6) = 12+24.
According to the question,
We have the following information:
1) 5*(2+5) = 10+25
2) (2+3)+6 = 2+(3+6)
3) 4*(3+6) = 12+24
4) 6*(7*3) = (6*7)*3
5) 12*8 = 8*12
We know that commutative property of multiplication states:
a*b = b*a
So, this applies to 5th one.
Associative property of addition:
(a+b)+c = a+(b+c)
Associative property of multiplication:
(a*b)*c = a*(b*c)
Now, this applies to 2nd and 4th one.
Distributive property:
a*(b+c) = a*b+a*c
This applies to 1st and 3rd one.
Hence, the example demonstrating the commutative property is 12*8 = 8*12, the examples demonstrating associative property are (2+3)+6 = 2+(3+6) and 6*(7*3) = (6*7)*3 and the examples for the distributive property are 5*(2+5) = 10+25 and 4*(3+6) = 12+24.
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Tony wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Tony has 800 feet of fencing, you can find the dimensions that maximize the area of the enclosure. a) Let u be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w (HINT first write two equations with w and I and A. Solve for l in one equation and substitute for l in the other) A(W) = b) What width w would maximize the area? c) What is the maximum area? A= square feet Get help: Video
A function for the area A of the enclosure in terms of w is A(w) = w * ((800 - w) / 2). 200 feet width would maximize the area. The maximum area is 60,000 square feet.
a) To write a function for the area A of the enclosure in terms of w, we first need to express the length l in terms of w. Since one side of the pen is against the barn and only 3 sides require fencing, we can write the equation for the total length of fencing (800 feet) as:
800 = w + 2l
Now, solve for l:
2l = 800 - w
l = (800 - w) / 2
Next, write the area function A(w) using the formula for the area of a rectangle, A = w * l:
A(w) = w * ((800 - w) / 2)
b) To find the width w that maximizes the area, we need to find the maximum value of A(w). To do this, take the first derivative of A(w) with respect to w and set it to zero:
dA(w)/dw = (800 - 2w) / 2 - w
Now, set dA(w)/dw to zero and solve for w:
0 = (800 - 2w) / 2 - w
0 = 400 - w - w
2w = 400
w = 200 feet
The width w that maximizes the area is 200 feet.
c) To find the maximum area, plug the optimal width w (200 feet) back into the area function A(w):
A(200) = 200 * ((800 - 200) / 2)
A(200) = 200 * (600 / 2)
A(200) = 200 * 300
A = 60,000 square feet
The maximum area of the enclosure is 60,000 square feet.
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what expression is the sane as 1/2 x 5
Answer:
5 divided by 2
Step-by-step explanation:
1/2 * 5 = 5/2
5/2 = 5 divided by 2
Write an equation to represent the following statement.
15 is 9 more than j.
Answer:
15 = 9 + j
Step-by-step explanation:
"15 is 9 more than j"
"15 is" may be written as "15 ="
"9 more than j" may be written as "9+j"
Put these two expression together:
15 = 9 + j
Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.
y = 1.4 (1.02)
a=
b=
r (as a percentage) =
are the triangles congrouent? which postualte
Answer:
they are congruent by SSS
Step-by-step explanation:
Answer:
B SSS
Step-by-step explanation:
The problem gives us lines to show which are congruent to each other. So we can see there are two sides equal to each other. For it to be SSS we need to know a third side is congruent and we can tell that we have a third congruent side because they share a side where the line cuts in the middle.
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A cylinder has a height of 5 feet and a diameter of 2 feet. Which measurement is closest to the volume of the cylinder in cubic feet?.
The volume of the cylinder is 15.7 feet square when the height is 5 feet and the diameter is 2 feet.
Given that,
The cylinder has a height of 5 feet and the diameter of 2 feet.
We have to find the volume of the cylinder.
We know that,
The volume of the cylinder is πr²h
π is nothing but pi the value is 3.14.
r is the radius of the cylinder is diameter/2 is 2/2=1 feet.
h is the height of the cylinder.
The volume of the cylinder= πr²h
= 3.14×(1)²×(5)
=3.14×1×5
=3.14×5
=15.7
Therefore, The volume of the cylinder is 15.7 feet square when the height is 5 feet and the diameter is 2 feet.
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Can an object with zero acceleration speed up?
Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.
Then the object will start to move in the reverse direction.
at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.
If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.
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What is this expression in simplified form?
Answer:
It should be -18 times the square root of of 10
Step-by-step explanation:
least to greatest 1/2,5/6,5/8,5/12 HURRY PLEASE
Answer:
1/2 , 5/6 , 5/8 ,5/12
The maximum number of people allowed in a park is 8 people for every unused
12-by-12-foot area. What is the maximum number of people allowed in this park?
Explain
Maximum 8A/144 people are allowed to entire the park.
what is area of a park?The entire space taken up by the surface of the park is called area.
If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.
How many people is allowed in the park?Given, length of unused space = 12 foot
breadth of unused space = 12 foot
Area of unused space = 12 x 12 = 144 square feet
Maximum 8 people is allowed for every 144 squares feet space
Let, area of the entire park is A square feet
Now maximum number of people allowed = (8 × A)/ 144
hence, 8A/144 people is allowed.
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A clinic has several doctors. Every patient, on average, requires about 27 minutes with a doctor Each doctor works 8 hours per day and 7 days per week. The clinic also operates 8 hours per day and 7 days per week. Based on past observations, the clinic must serve 122 patients per day. How many doctors should the clinic hires in order to serve 122 patients per day? Use at least 4 decimals in your calculation and answer.
The clinic should hire at least 7 doctors in order to serve 122 patients per day.
To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.
Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.
Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.
Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.
To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.
Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.
In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.
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9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `