Answer:
Step-by-step explanation:
Given the inequality −14x+6≥14, we are to find the range of x that will make the inequality true.
Given −14x+6≥14
Subtract 6 from both sides.
−14x+6-6≥14-6
-14x≥8
-7x≥4
Multiply both sides by -1
-(-7)x≤-4
7x ≤ -4
x≤-4/7
This shows that the values of x is always less than or equal to -0.57
Hence the values less tan the value of x in the inequality are -36, -32 and -16
Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are _________. *
2 points
Equal to each other
Equal to 90°
Equal to 180°
Equal to 360°
Answer:
\( \boxed{ \large{ \underline{\tt{Equal \: to \: each \: other}}}}\)
Step-by-step explanation:
When two lines interesect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ V.O.A ] are always equal to each other.
Refer to the attachment! In the given figure , \( \angle\) p and \( \angle\) s are opposite to \( \angle\)r and \( \angle\)q respectively. Therefore \( \angle\)p and \( \angle\)r are vertical angles. Similarly , \( \angle\)s and \( \angle\)q are also vertical angles.
Hence , Our final answer : Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are equal to each other .
Hope I helped ! ツ
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Last question I think HELP ME ITS FIXING TO BE OVER DUE!!!
Answer:
I am not good at this but a good app for math is Math
way
~Hope this helps!!Stay safe~
Question 2 of 43
What is the volume of this composite solid?
2m
7m
4m
2m
OA. 64 cubic meters
OB. 58 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
2 m
SUBMIT
Which of the following measures of variability is used when the statistics having the greatest stability is sought?
•Mean Deviation
•Standard Deviation
•Quartile Deviation
•Range
The measure of variability that is used when the statistic with the greatest stability is sought is the Standard Deviation.
The Standard Deviation takes into account the dispersion of data points from the mean and provides a measure of the average distance between each data point and the mean. It is widely used in statistical analysis and is considered a robust measure of variability, providing a more precise and stable measure compared to other measures such as Mean Deviation, Quartile Deviation, or Range.
The Standard Deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It takes into account the differences between individual data points and the mean of the dataset. By calculating the average distance between each data point and the mean, it provides a measure of how spread out the data is.
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Solve for the value of s
The two angles are vertical angles, which mean they are the same.
6s-2 = 94
Add 2 to both sides:
6s = 96
Divide both sides by 6:
S = 96/6
S = 16
PLEASE LOOK AT PICTURE AND HELP!!!
Answer:
answer A
Step-by-step explanation:
nnnnmmmkkkkkkookl
You make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on merill lynch was 7%. The combined return on both funds was $256. How much did you invest in each fund.
The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.
Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.
here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800
Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.
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Write each of the following with 2 significant figures:( a) 0.03405L (b) 26,978mg (c) 310.490 L
(a) 0.034 L, (b) 27,000 mg, (c) 310 L
To express each value with two significant figures, we follow these rules:
If the first non-zero digit is before the decimal point, count all the digits starting from the first non-zero digit.
If the first non-zero digit is after the decimal point, count all the digits starting from the first non-zero digit until the second significant figure.
Round the last digit if it is greater than or equal to 5.
(a) 0.03405 L:
The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 4. Therefore, rounding to two significant figures gives us 0.034 L.
(b) 26,978 mg:
The first non-zero digit is 2. Since it is before the decimal point, we count all the digits starting from 2. The second significant figure is 6. Therefore, rounding to two significant figures gives us 27,000 mg.
(c) 310.490 L:
The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 1. Therefore, rounding to two significant figures gives us 310 L.
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A trumpet player is currently standing in position (3, 2) on a gridded football field. Her bandleader
instructs her to move two units to the left and one unit up. What are her new coordinates?
The trumpet player's new coordinates are
Answer:
(1, 3)
Step-by-step explanation:
Current position (3,2)
Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)
Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)
Express 46 cm as a percentage of 1.15m
Answer:
\(1.15m \: = 115cm \\ 46 \div 115 \times 100 \\ = 40\%\)
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find an algebraic expression for the particle's velocity vx at a later time t . express your answer in terms of the variables c , t , v0x , and m .
The algebraic expression for the particle's velocity vₓ at a later time t is v(t) = ct²/2m +v₀ₓ.
Given that,
c = speed of light
t = time
v₀ₓ = initial velocity of particle
m = mass of particle
Velocity and acceleration are related through time. Acceleration is the rate of change of velocity, which is represented graphically as the slope of the velocity vs. time line. Velocity can be represented as the area underneath an acceleration vs. time line.
Newton's second law declares that an object having mass m will accelerate due to a net force (F) will accelerate at a rate of:
α = F/m
Therefore, the function that describes the acceleration at any point in time of the particle is:
α(t)=ct/m
The velocity function is the integral of the acceleration function, so we get:
v(t)= ∫ct/m dt
= ct²/2m +C
where the constant C is the initial velocity of the particle at time t=0. Therefore, the velocity function representing the velocity at any point in time is:
v(t) = ct²/2m +v₀ₓ
Therefore, the algebraic expression for the particle's velocity vₓ at a later time t is v(t) = ct²/2m +v₀ₓ.
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need help fast what is the equation
The equation is 128 + 2x = 180.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The sum of the same-side interior angles between two parallel lines is supplementary
This means,
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
Thus,
The value of x is 26.
The equation is 128 + 2x = 180.
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How do you write 3x to the -5 power using only positive exponents?
Complete each problem and show your work Diameter: 12,756 km
Diameter: 12,756 km Radius: 15.25in Circumference: 7in Circumference: 25.92cm
C = C = D = R =
A = A = A = A =
The area of the circle would be 127731695.76 Km².
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the diameter of the circle.
The diameter is -
{d} = 12756 Km
We can write the radius as -
r = {d}/2 = 6378 Km
We can write the area as -
A = 3.14 x 6378 Km x 6378 Km
A = 127731695.76 Km²
Therefore, the area of the circle would be 127731695.76 Km².
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There are three types of grocery stores in Surabaya. Within this community (with a fixed population) there always exists a shift of customers from one grocery store to another. On January 1, % shopped at Store 1, 1/3 at Store II and 5/12 at Store III. Each month Store I retains 90% of its customers and losses 10% of them to Store II. Store Il retains 5% of its customers and losses 85% of them to Store and losses 10% of them to Store III. Store Ill retains 40% of its customers and losses 50% of them to Store I and losses 10% of them to Store II. a) Find the transition matrix b) What proportion of customers will each store retain by Feb 1 and March 1? c) Assuming the same pattern continues, what will be the long-run distribution of customers among the three stores?
A transition matrix is a square matrix used to express a linear transformation between two coordinate systems in linear algebra. It is used to switch the basis on which vector representation is made.
We can use a transition matrix to depict how customers move between the three grocery stores in order to address this challenge. The matrix should be defined as follows:
P = [[p11, p12, p13], [p21, p22, p23], [p31, p32, p33]]
where pij is the percentage of shoppers who switch from retailer j to store
i. We may complete the transition matrix as follows using the information provided:
P = [[0.9, 0.1, 0], [0.05, 0.05, 0.85], [0.5, 0.1, 0.4]]
(a) The transition matrix P is as follows:
P = [[0.9, 0.1, 0],
[0.05, 0.05, 0.85],
[0.5, 0.1, 0.4]]
b) To find the proportion of customers each store will retain by Feb 1 and March 1, we need to multiply the initial distribution of customers on January 1 by the transition matrix P repeatedly for each month. Let's define the initial distribution vector on January 1 as:
X₀ = [x₁, x₂, x₃]
where x₁ represents the proportion of customers at Store I, x₂ represents the proportion at Store II, and x₃ represents the proportion at Store III. By multiplying the initial distribution X₀ by the transition matrix P, we can find the proportion of customers at each store on Feb 1 (X₁) and March 1
(X₂):X₁ = X₀ * P
X₂ = X₁ * P
c) We must identify the stable distribution, also known as the steady-state distribution, of consumers in order to calculate the long-run distribution of those customers among the three locations.
Mathematically, the following equation can be solved to determine the long-run distribution Xl:
Xₗ = Xₗ * P
When Xl is multiplied by the transition matrix, the steady-state distribution represented by this equation shows no change in Xl.
We may find the long-term consumer distribution among the three stores by solving this equation.
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Solve the equation
2(x+5)=-2
Answer:
x = -6
Step-by-step explanation:
Distribute the 2 into the brackets:
2x + 10 = -2
leave the 2x alone on one side:
2x = -2 -10
2x = -12
divide both sides by 2:
x = -6
its asking for the surface area of the sphere
Answer:
89^2π
Step-by-step explanation:
Using the formulas
A=4πR2
D=2r
Solving for A
A=πD2=π·89^2≈24884.55541
Cecilia Alvarez had always wanted to see Singapore. This was her chance. A round-trip airfare on Singapore Airlines (premium economy) from San Francisco where she lived was SNG1344.31. A three-night stay at the Mandarin Oriental, an excellent hotel overlooking the marina (and just so happens to have one of the best breakfasts in all of Singapore) was quoted to at SNG2998.28. If the current spot rate was SNG1.4140=USD1.00, what would just air travel and hotel cost Cecilia in U.S. dollars? Round to two decimal places.
Therefore, the total cost of air travel and hotel for Cecilia in U.S. dollars is =\(USD3073.04.\)
To calculate the cost of air travel and hotel in U.S. dollars for Cecilia's trip to Singapore, we need to convert the costs from Singapore dollars to U.S. dollars using the given spot rate of SNG1.4140 = USD1.00. The airfare cost of SNG1344.31 and hotel cost of SNG2998.28 can be converted to U.S. dollars to determine the total cost.
To convert the costs from Singapore dollars to U.S. dollars, we multiply the costs by the conversion rate of SNG1.4140 = USD1.00.
For the airfare, the cost in U.S. dollars is calculated as:
USD cost of airfare = SNG1344.31 * (1 USD / SNG1.4140)
For the hotel, the cost in U.S. dollars is calculated as:
USD cost of hotel = SNG2998.28 * (1 USD / SNG1.4140)
Using the conversion rate, we can compute the values:
USD cost of airfare = SNG1344.31 * (1 USD / SNG1.4140) = USD950.44 (rounded to two decimal places)
USD cost of hotel = SNG2998.28 * (1 USD / SNG1.4140) = USD2122.60 (rounded to two decimal places)
Therefore, the total cost of air travel and hotel for Cecilia in U.S. dollars is approximately USD950.44 + USD2122.60 = USD3073.04.
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What is t in degrees?
Answer:
100
Step-by-step explanation:
Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!
Solve the porportion)
7/5=x/3
Given : Solve 7/5 = x/3
Solution :
7(3) = 5(x) 21 = 5x x = 21/5 x = 4.2Henceforth, the answer is 4.2
Write and solve a proportion to answer the question.
75% of 124 is what number a
?
Write and solve a proportion to answer the question.
72 is what percent of 45?
Jessica makes $1500 a month at her job. If she saves 20% of it each month, how much savings will she have after one year? Remember that there are 12 months in one year!
$3,600
Step-by-step explanation:
You'd multiply 1,500 with .20 which equals 300. You'd then multiply 300 and 12 together to make $3,600.
Two parallel lines are cut by a transversal as shown below.
Suppose m /_ 5 = 56 . Find m /_ 2 and m /_4.
When the parallel lines are cut by a transversal, the values for the measurement of ∠2 and ∠4 is 124° each.
What are parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.
Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.
In the given diagram the parallel lines are cut by a transversal.
The measure of angle 5 is, m∠5 = 56°.
It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.
So, m∠5 + m∠2 = 180°
56° + m∠2 = 180°
m∠2 = 180° - 56°
m∠2 = 124°
Now, as it can be seen in the image ∠2 and ∠4 are vertically opposite angles.
So, they will be congruent or equal to each other.
So, it is obtained that -
m∠2 = m∠4
m∠4 = 124°
Therefore, the measures of angles are m∠2 = 99° and m∠4 = 99°.
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The vertex of this parabola is at (-3, -2). Which of the following could be its equation?
A) y= -2(x +3)^2 +2
B) y= -2(x +3)^2 -2
C) y= -2(x -3)^2 +2
D) y= -2(x -3)^2 -2
helppp please last question !!!
Answer:
Step-by-step explanation:
y = 1/4x +10
and why do you use your phone, it makes it sooo much tuffer to read the question. just "prt screen" and paste into paint.. and save as a jpg, and then post that pic.. don't use your phone. :/
Find the area of the trapezoid. Leave your answer in simplest radical form
Answer: Im Not really sure but the answer is 303.66
Step-by-step explanation: A=a+b
2h=19+29.2
2·12.6=303.66
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
in exercises 1-5 the given tableau represents a solution to a linear programming problem that satisfies the optimality criterion, but is infeasible. use the dual simplex method to restore feasibility.
Given that, in exercises 1-5, the given tableau represents a solution to a linear programming problem that satisfies the optimality criterion but is infeasible, we need to use the dual simplex method to restore feasibility.
The Dual Simplex method is a linear programming algorithm used to solve linear programming problems that have been modified in a way that the feasible region is unbounded. It is applied to maximization or minimization problems.
The procedure for restoring the feasibility of an infeasible solution using the Dual Simplex method is as follows:
Find the entry in the objective row of the current tableau with a negative coefficient.
Choose the pivot column as the column corresponding to the variable with the most negative coefficient. Determine the minimum ratio of the current solution to the non-negative entries in that column to identify the pivot row.
Update the tableau using the selected pivot row and pivot column through the usual pivoting procedure.
In the final tableau, if there are negative coefficients in the last row, the solution is infeasible. If there are no negative coefficients, the solution is feasible.
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find the limit, if it exists, or show dne lim (x^4-4y^2)/(x^2 2y^2)
The limit of the expression (x^4 - 4y^2) / (x^2 + 2y^2) as (x, y) approaches (0, 0) does not exist (DNE) because the limits along different paths are not the same.
To find the limit of the expression (x^4 - 4y^2) / (x^2 + 2y^2) as (x, y) approaches a certain point, we need to analyze the behavior of the expression as (x, y) gets arbitrarily close to that point. Let's consider the limit as (x, y) approaches (0, 0).
Substituting the values into the expression, we have:
lim(x,y)→(0,0) [(x^4 - 4y^2) / (x^2 + 2y^2)]
To determine if the limit exists, we can evaluate the limit along different paths. Let's consider two paths: approaching along the x-axis and approaching along the y-axis.
Approach along the x-axis:
Along the x-axis, y is equal to 0. Substituting y = 0 into the expression, we have:
lim(x,0)→(0,0) [(x^4 - 4(0)^2) / (x^2 + 2(0)^2)]
= lim(x,0)→(0,0) (x^4 / x^2)
= lim(x,0)→(0,0) x^2
= 0
Approach along the y-axis:
Along the y-axis, x is equal to 0. Substituting x = 0 into the expression, we have:
lim(0,y)→(0,0) [(0^4 - 4y^2) / (0^2 + 2y^2)]
= lim(0,y)→(0,0) (-4y^2 / 2y^2)
= lim(0,y)→(0,0) -2
= -2
Since the limit along the x-axis (approaching (0, 0) with y = 0) is 0, and the limit along the y-axis (approaching (0, 0) with x = 0) is -2, these two limits do not agree.
Therefore, the limit of the expression (x^4 - 4y^2) / (x^2 + 2y^2) as (x, y) approaches (0, 0) does not exist (DNE) because the limits along different paths are not the same.
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idk what i'm doing :(