Answer:
-0.25
Step-by-step explanation:
1). When beginning, you need to find the least common multiple (lcm), which would be 2.
2). Divide 3 by 2 leaving you with 1.5.
3). Then divide 1.5 by 2 leaving you with -1/4.
4). Convert -1/4 into a decimal.
5). Final answer -0.25.
Answer: -0.25
Step-by-step explanation:
\(\displaystyle\\\frac{1}{2}-\frac{3}{4}=\\\\ \frac{1*2}{2*2} -\frac{3}{4} =\\\\\frac{2}{4} -\frac{3}{4}=\\\\ \frac{2-3}{4} =\\\\\frac{-1}{4} =\\\\-\frac{1}{4} =\\\\-0.25\)
Darius wrote two integers on the chalkboard. The integers she wrote were 256 and -17. How much larger is 256 than -17?
Answer: 239
Step-by-step explanation:
Darius wrote 2 integers 256 and -17. The question is asking you to solve how much larger is 256 than -17. This means you will subtract 256 by -17 which will give you 239 (256-17). The answer remains positive because 256 is larger
Hope this helps
Answer: They are exactly 273 places away.
Step-by-step explanation:
If a number is larger than another number then you need to subtract it to get the distance. In this case, you look at the subtraction to see how far away they are.
Hope this helps!
Have a blessed day!
a trapizumis shown below
fine the angles of x and y
It should be noted that the values of x and y in the trapezium will be
x=118
y= 35
What is a trapezium?A trapezoid, also known as a trapezium, is a closed, flat object with four straight sides and one pair of parallel sides. A trapezium's parallel sides are known as the bases, while its non-parallel sides are known as the legs. A trapezium might have parallel legs as well. A trapezium is a quadrilateral with one parallel pair of opposite sides.
Based on the information, x will be:
= 180-62
= 118
y will be:
= 180-145=35
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What is the y intercept of the table
Answer:
-1
Step-by-step explanation:
With import tax, a dealer spent 5250 for importing some cosmetics if the total of the cosmetics was 5000 what was the percentage of import tax
Answer: 5%
Step-by-step explanation:
Given
With import, Dealer spent \(Rs.\ 5250\)
If the cosmetic cost is \(Rs\ 5000\)
Import tax is \(\Rightarrow 5250-5000=Rs\ 250\)
Percentage of import tax
\(\Rightarrow \dfrac{250}{5000}\times 100=5\%\)
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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How can we tell if 2 fractions added together make a sum greater than 1?
Answer:
if the two numerators added together are greater than the denominator then it is greater than one
what is the the equation of the line that passes through the points (-4,8) and (1,3)
Answer:
y=-1x+4
Step-by-step explanation:
4x+8<2x+2
this has quite a bit of points
Answer:
x= −3Step-by-step explanation:
4x+8<2x+2
Subtract 2x from both sides.
4x+8−2x<2
Combine 4x and −2x to get 2x.
2x+8<2
Subtract 8 from both sides.
2x<2−8
Subtract 8 from 2 to get −6.
2x<−6
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x<
2
−6
Divide −6 by 2 to get −3.
x<−3
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Answer: x < -3
Step-by-step explanation:
The table shows whether students in a class like cats and/or dogs. What percentage of students like both cats and dogs?A. 64%B. 90%C. 58%D. 65%
Total number of students that likes both dog and Cat = 194 students.
Total number of students = 335 students
Therefore,
\(\begin{gathered} \text{percentage = }\frac{194}{335}\times100 \\ \text{percentage}=\frac{19400}{335} \\ \text{percentage}=57.9104477612 \\ \text{percentage}\approx58percent \end{gathered}\)percentage = 58%
The total cost of gas and the price paid per gallon have a proportional relationship. Five gallons of gas cost $13.35.
How many gallons of gas is purchased for $34.71?
Answer:
thank you for the free points
Step-by-step explanation:
Answer:
13 gallons
Step-by-step explanation:
13.35 = 5 gallons of gas
1 gallon = 2.67
y = 2.67x
34.71 = 2.67x
\(\frac{34.71}{2.67} = \frac{2.67x}{2.67}\)
x = 13
Answer the following questions after you have worked problem 3-27 on p. 125 of PMS:
1. What was the total number of acres planted for the optimal solution?
2. How much fertilizer (in tons) would need to be available for the farmer to produce only corn?
3. SolverTable allows you to analyze the relationship between fertilizer available and acres planted. What is the peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments?
The total number of acres planted for the optimal solution is not provided in the given information.
The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.
The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.
I can help explain the general approach to answering the questions you mentioned.
To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.
Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.
SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.
Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.
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Answer: 1. 64 | 2. 32
Step-by-step explanation:
Formula for a rectangle is Area = Length*Width
Therefore: 8*8 = 64
Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width
Therefore: 1/2*8*8 = 32
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Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)
The solution is Option A.
The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the equation for the circle A be represented as
( x - 7 )² + ( y - 1 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )
Let the equation for the circle A be represented as
( x + 8 )² + ( y - 2 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )
So , the translation of circle A to B is given by
( 7 , 1 ) to ( -8 , 2 )
So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up
Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
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for the following distributions, find the moment generating function Ø(t), and use that to compute e(x) and var(x): (a) bernoulli (b) binomial (c) poisson (d) geometric (e) uniform (f) exponential
finding the moment generating functions (MGFs) and using them to compute the expected value (E(X)) and variance (Var(X)) for the given distributions.
(a) Bernoulli Distribution:
MGF: Ø(t) = 1-p+pe in power t
E(X) = p
Var(X) = p(1-p)
(b) Binomial Distribution:
MGF: Ø(t) = (1-p+pe^t)^n
E(X) = np
Var(X) = np(1-p)
(c) Poisson Distribution:
MGF: Ø(t) = e^(λ(e^t-1))
E(X) = λ
Var(X) = λ
(d) Geometric Distribution:
MGF: Ø(t) = (pe in power t)/(1-(1-p)e in power t), for |e^t| < 1/p
E(X) = (1-p)/p
Var(X) = (1-p)/p²
(e) Uniform Distribution (a, b):
MGF: Ø(t) = (e in power (tb) - ein power(ta))/(t(b-a))
E(X) = (a+b)/2
Var(X) = (b-a)²/12
(f) Exponential Distribution (λ):
MGF: Ø(t) = λ/(λ-t), for t < λ
E(X) = 1/λ
Var(X) = 1/λ²
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If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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HELP ASAP !! I have trouble with this
Answer:
x= 0.7227 in radians
x= 41.4096 in degrees
Step-by-step explanation:
cos(x) = 6/8
3. Which number is a solution of the inequality?
m>13/3
A) 3
B) 5
C) -9
D) 2
Answer: B) 5
Step-by-step explanation:
3 = 9/3
9/3 < 13/3
————————
5 = 15/3
15/3 > 13/3
————————
-9 = -27/3
-27/3 < 13/3
————————
2 = 6/3
6/3 < 13/3
g a runner wants to run 10.1 km . her running pace is 6.8 mi/hr . how many minutes must she run?
I runner is running at the speed of 6.8 miles/hr and he wants to run 10.1 km then he runner must run for 9.3 minutes.
To calculate this, we first need to convert the given speed from miles per hour to kilometers per hour. 6.8 mi/hr is equal to 10.9 km/hr.
Then, we need to divide the total distance (10.1 km) by the speed (10.9 km/hr) to get the total time it will take for the runner to complete the 10.1 km run.
10.1 km/10.9 km/hr = 0.922 hr = 9.3 minutes.
Therefore, the runner must run for 9.3 minutes in order to complete the 10.1 km run.
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Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1. 25)x. Determine the rate of growth.
GDP, turnover, wages, and other values' growth rates indicate how much something has changed over time (month, quarter, year). It is typically stated as a percentage.
How do you calculate growth rate?A value's growth rate (such as GDP, turnover, earnings, etc.) gauges how much it has changed over time (month, quarter, year). It is quite frequently expressed as a percentage.
Growth rates are used to quantify the annual percentage change in a variable. If a variable has a positive growth rate, it is increasing over time; if it has a negative growth rate, it is declining over time. Growth rates can be helpful in evaluating a company's performance and forecasting future performance.
f(x) = 2 * (1.25)^x
This has the shape of
y = a b^x
where b is the growth rate multiplied by one
B = 1.25 + growth rate = 1
1.25 = 1 + the growth rate
Growth rate is.25
25% is the growth rate.
Therefore, the correct answer is option d) 25%.
The complete question is:
Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1.25)x. Determine the rate of growth.
A.2%
B.125%
C.75%
D.25%
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Given m || n, find the value of x and y.
X =
(7x+18)º
y =
Do
(9x-14)°
m
Answer:
x = 16y = 130Step-by-step explanation:
You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.
Corresponding anglesCorresponding angles where a transversal crosses parallel lines are congruent:
(9x -14)° = (7x +18)°
2x = 32 . . . . . . . . . . divide by °, add 14-7x
x = 16
Then these angles are ...
(9(16) -14)° = (144 -14)° = 130°
Vertical anglesVertical angles are congruent, so ...
y° = 130°
y = 130
the duration of a flash from a camera is timed at 0.004 seconds accurate to 1 / 1000 of a second calculate the upper and lower bounds for the duration of the flash using in quality
Answer:
0.0035 ≤ x ≤ 0.0045
Step-by-step explanation:
Given that:
The error = 1/1000 = 0.001 / 2 = 0.0005 s
Hence, 0.004 ± Error
0.004 ± 0.0005
Lower boundary = (0.004 - 0.001) = 0.0035
Upper boundary = (0.004 + 0.001) = 0.0045
0.0035 ≤ x ≤ 0.0045
Solve the equation
1
4
(4x − 24) + x = 14.
Answer:
To solve the equation (4x - 24) + x = 14, we can start by combining like terms on the left side of the equation:
4x - 24 + x = 14
Next we'll add the x terms together and the constants together:
5x - 24 = 14
Then we'll add 24 to both sides to get all the x terms on one side:
5x = 38
Finally we'll divide both sides by 5 to find the value of x:
x = 7.6
So the solution to the equation is x = 7.6
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Step-by-step explanation:
Yes, one pair of opposite sides could measure 10 inches. and the other pair could measure 13 inches
Answer:
A
Step-by-step explanation:
Trust the process
He i the midpoint of AC which tatement bet decribe the relationhip between triumph ABD and CBD triangle ABD and CBD are congruent by the SSS congruence potulate
The option 1 "Triangles ABD and CBD are congruent by the SSS Congruence Postulate." is correct.
In the given question, DB is a median of ∆ADC.
We have to find which statement best describes the relationship between triangles ABD and CBD.
From the diagram we can see that
AD = CD
Since DB is median so it divide AC into two equal parts
So AB = CB
DB = DB (Common)
So, ∆ABD ≅ ∆CBD by SSS Congruence Postulate.
So, the option 1 "Triangles ABD and CBD are congruent by the SSS Congruence Postulate." is correct.
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The complete question is:
DB is a median of ∆ADC. Which statement best describes the relationship between triangles ABD and CBD?
(1) Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
(2) Triangles ABD and CBD are similar by the SSS Similarity Postulate.
(3) Triangles ABD and CBD are congruent by the SAS Congruence Postulate.
(4) Triangles ABD and CBD are similar by the SAS Similarity Postulate.
(threex – 2)(fourx + one) =
Answer: 12x² - 5x - 2
Concept:
When doing questions that need to expand algebraic expressions, using the FOIL method will ease the process:
First means that we multiply the terms which occur in the first position of each binomial.Outer means that we multiply the terms which are located in both ends (outermost) of the two binomials when written side-by-side.Inner means that we multiply the middle two terms of the binomials when written side-by-side.Last means that we multiply the terms which occur in the last position of each binomial.Solve:
Given expression
(3x - 2) (4x + 1)
Expand parentheses and apply the FOIL method
First: 3x · 4x = 12x²
Outer: 3x · 1 = 3x
Inner: (-2) · 4x = -8x
Last: (-2) · 1 = -2
12x² + 3x - 8x - 2
Combine like terms
12x² + (3x - 8x) - 2
\(\boxed{12^2-5x-2}\)
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Answer:
x = 60.4°
Step-by-step explanation:
→ Workout BEG
180 - (110.2 + 25.6) = 44.2°
→ Find EBG
75.4
→ Now find x
x + 75.4 + 44.2 = 180
→ Simplify
x = 60.4°
Answer:
x = 60.4°
Step-by-step explanation:
DEF is a straight line , then
110.2 + ∠ BEG + 25.6° = 180°
∠ BEG + 135.8° = 180° ( subtract 135.8° from both sides )
∠ BEG = 44.2°
∠ DEB and ∠ CBE are alternate angles and are congruent , so
∠ EBG = 110.2° - 34.8° = 75.4°
Then using °°the sum of angles in a triangle = 180°
x = 180° - 44.2° - 75.4° = 180° - 119.6° = 60.4°
13.6 divided by 0.81 simplified.
Answer:
16.8
Step-by-step explanation:
-32 / (-4)
-40 / (-8)
348 / 26 x 29
Answer:
Your answer is: ↓
A) 8
B) 5
C) 6 / 13
Reduce the expression, if possible, by cancelling the common factors.
Step-by-step explanation:
Hope this helped : )
This is the list need to make 8 peanut shortbread slices
Peanut Shortbread-makes 8 slices
200g plain flour
140g butter
80g caster sugar
40g smooth peanut butter
40ml milk
Work out the amounts needed to make 20 peanut shortbread slices
Answer:
500g plain flour, 350g butter, 200g caster sugar, 100g smooth peanut butter, 100ml milk
Step-by-step explanation:
20÷8= 2.5
multiply each by 2.5
200n (n=2.5) = 500
140n = 350
80n = 200
40n = 100
40n = 100
I'm sorry if this is wrong, but I think this is how you answer it
The world record for the tallest ice cream cone is 120 inches tall. How many feet tall is the ice cream cone? 12 inches = 1 foot
Answer:
10 feet tall
Step-by-step explanation:
12 * 10 = 120
Answer:
10 feet
Step-by-step explanation:
12 inches = 1 foot
120/12 = 10
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