Answer:
1 and 103/105
Step-by-step explanation:
Learning Task 2: Perform the indicated operations to solve the following.
1. 20- 3 + 12 ÷ 6 ✖️ 2 = (____________)
2.5 ✖️ 9-5 + 10 = (_________________)
3. 20 - 12 ÷ 6 + 8 = (________________)
4.9 ✖️ 9 ÷ 3 - 9 + 6 = (______________)
5. 16 ÷ 4 ✖️ 5 7 + 8 =(_____________)
this is times ✖️
Which of the following triangles describes AA similarity?
The triangles AEB and DEC describes AA similarity .
What is AA Similarity ?
Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .
In the question ,
a figure is given .
in triangle AEB and triangle DEC ,
we can see that ,
∠AEB ≅ ∠DEC , because they are vertically opposite angles .
On rotating triangle CED by 180° around the point E, then the translate point D to point A confirms ∠EAB ≅ ∠EDC.
Since two angles are Congruent
So , By AA Similarity , triangles AEB and DEC are Congruent .
Therefore , the triangles AEB and DEC are Congruent .
The given question is incomplete , the complete question is
Which of the following triangles in the given figure describes AA similarity ?
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A robot travels 20 meters in 5 minutes. What is the unit rate of speed at which the robot is traveling?
Answer:
The robot is traveling at a speed of 4 meters per minute.
Step-by-step explanation:
20/5=4
Therefore for every 1 minute, 4 meters are traveled and every 1 meter, 15 seconds pass.
What is the slope for y = 4 + 3x? *
Your answer
Answer:
3
Step-by-step explanation:
Someone slide me the answer of number 6 pls
Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s
What is the unit rate?The unit rate of the yellow jacket can be found by the formula:
= Distance travelled / Number of seconds
Solving gives:
= 4.5 / 9
= 0.5 meter per second
= 0.5 m/s
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PLEASE SOLVE THIS
Also I really don't want a long answer so you don't have to give me an explanation
Answer:
No
Step-by-step explanation:
To determine if a point is a solution to a system of equations, you need to determine if the point is a solution to both equations.
Is ( 2,10) a solution to -3x-4y = 4
Substitute into the equation and see if it is true
-3(2) -4(10) = 4
-6 -40 = 4
-46 =4
This is not true so it is not a solution
Answer:
No
Step-by-step explanation:
The solution(s) of a system is/are the point(s) (x, y) where the lines intersect.
The question asks if (2, 10) is a solution of the system. This means the "x" value is "2" and the "y" value is "10".
We can substitute those values into both of the equations.
\(-3x-4y=4\\-3(2)-4(10)=4\\-6-40=4\\-46=6 \Rightarrow Incorrect!\)
The "x" and "y" values must be true for both equations, therefore (2, 10) is not a solution of the system.
A number subtracted by five
Answer:
n-5
Step-by-step explanation:
Answer:
X - 5
Step-by-step explanation:
hope this helps.
....
Apply the methodology for solving linear programming problems using graphical method and simplex method. Maximize Z = 20X + 3Y Subject to: A1: 2X + 1Y ≤ 10 R2: 3X + 3Y≤ 18 R3: 2X + 4Y ≤ 20 X=0,Y>=0
The optimal solution is Z = -74, X = 4, Y = 2.
Maximize Z = 20X + 3Y
Subject to:
A1: 2X + Y + S1 = 10
R2: 3X + 3Y + S2 = 18
R3: 2X + 4Y + S3 = 20
X = 0, Y ≥ 0
The initial tableau for the simplex method is given below.
The column labels represent the variables, and the row labels represent the equations and slack variables. The bottom row (RHS) represents the right-hand side values of the equations.
To find the optimal solution, we'll perform the simplex method iterations:
Iteration 1:
Pivot column: Y (the most negative coefficient in the Z row)
Pivot row: S2 (smallest positive ratio of RHS to coefficient in the pivot column)
Performing row operations:
Divide row S2 by 3 to make the pivot element (coefficient of Y) equal to 1.
Row S2 = Row S2 / 3
Row S2: 1 | 1 | 0 | 1/3 | 0 | 6
Eliminate other elements in the pivot column:
Row Z = Row Z - (3 * Row S2)
Row S1 = Row S1 - (1 * Row S2)
Row S3 = Row S3 - (0 * Row S2)
Row Z: 20 | 0 | 0 | -3 | 0 | -18
Row S1: 1 | 0 | 1 | -1/3 | 0 | 4
Row S3: 2 | 1 | 0 | -2/3 | 1 | 14
Iteration 2:
Pivot column: X (the most negative coefficient in the Z row)
Pivot row: S1 (smallest positive ratio of RHS to coefficient in the pivot column)
Performing row operations:
Divide row S1 by 1 to make the pivot element (coefficient of X) equal to 1.
Row S1 = Row S1 / 1
Row S1: 1 | 0 | 1 | -1/3 | 0 | 4
Eliminate other elements in the pivot column:
Row Z = Row Z - (20 * Row S1)
Row S2 = Row S2 - (0 * Row S1)
Row S3 = Row S3 - (2 * Row S1)
Row Z: 0 | 0 | -20 | -2/3 | 0 | -74
Row S2: 1 | 1 | 0 | 1/3 | 0 | 6
Row S3: 0 | 1 | -2 | -2/3 | 1 | 6
Since there are no negative coefficients in the Z row, we have reached the optimal solution.
Final Solution:
Z = -74 (maximum value of the objective function)
X = 4
Y = 2
S1 = 0
S2 = 6
S3 = 6
Therefore, the maximum value of Z is -74, and the optimal values for X and Y are 4 and 2, respectively. The slack variables S1, S2, and S3 are all zero, indicating that all the constraints are satisfied as equalities.
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Tony makes up a problem for the figure, setting AD = 5 and CF = 17. Katie says, "You can't do that." Explain.
The triangles ΔTDA and ΔTFC are similar, such that the lengths of the sides of ΔTDA are 3 times the length of the sides of ΔTFC. If AD = 5, then the length of CF should be CF = 15
What are similar triangles?Two triangles are similar if two sides in one triangle are proportional to two sides in the other triangle and the included angle between the two sides in both triangles are congruent.
The possible figure in the question is attached
From the attached figure, we get;
The length of the side TC is 3 times the length of the side TA
The length of the side T_F is 3 times the length of the side TD
The angle ∠T is congruent to itself according to reflexive property of congruency
Therefore, using the similarity of the triangles, ΔTDA and ΔTFC, (ΔTDA ~ ΔTFC), we get;
The length of the side CF in ΔTFC is 3 times the length of the side AD in ΔTDA
Therefore, if AD = 5, CF = 3 × 5 = 15
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Word problem for 3x(5+8)
Answer:
The answer is 39x.
Step-by-step explanation:
Answer:
I believe the word form of the equation would be Three X times five plus eight.
Step-by-step explanation:
which of the following is a function
please help!!
g(a)=a-2
f(a)=2a+2
find g(a)•f(a)
Answer:
\((a - 2)(2a + 2) \\ = {2a }^{2} + 2a - 4a - 4 \\ = {2a}^{2} - 2a - 4 \\ ({2a}^{2} - 4a) + (2a - 4) \\ 2a(a - 2) + 2(a - 2) \\( a - 2)(2a + 2) \\ a = 2 \\ a = - 1\)
Answer:
\(g(a).f(a) = (a - 2)(2a + 2) \\ = 2 {a}^{2} + 2a - 4a - 4 \\ = \boxed{2 {a}^{2} - 2a - 4}\)
(2a²-2a-4) is the right answer.select the correct answer. the distance versus time plot for a particular object shows a quadratic relationship. which column of distance data is possible for this situation?
column A is the correct answer.
The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation? Time (s) A. Distance (m) B. Distance (m) C. Distance (m) D. Distance (m) E. Distance (m) 0 0 2.00 9.00 ‡ ‡ 1 1.00 4.00 18.00 1.00 1.00 2 4.00 6.00 27.00 0.50 0.25 3 9.00 8.00 36.00 0.33 0.11 4 16.00 10.00 45.00 0.25 0.06 5 25.00 12.00 54.00 0.20 0.04 6 36.00 14.00 63.00
A quadratic relation means one variable is proportional to the square of the other variable.
for this problem, distance and time will be proportional to the following equation
d = kt² or t = kd²
where k is a (constant).
when y look at column A closely. The numbers are all perfect squares: 1, 4, 9, 16...
This means d = kt² with k=1:
at t = 0, d = 1 x 0² = 0
at t = 1, d = 1 x 1² = 1
at t = 2, d = 1 x 2² = 4
at t = 3, d = 1 x 3² = 9
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according to the february 2008 federal trade commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. in that year, assume some state had 468 complaints of identity theft out of 1820 consumer complaints. do these data provide enough evidence to show that the state had a higher proportion of identity theft than 23%? test at the 9% level.
Yes, the data provided is enough evidence to show that the state had a higher proportion of identity theft than 23%.
To determine if the state had a higher proportion of identity theft complaints than the national average of 23%, we will perform a one-sample z-test for proportions at the 9% level of significance.
Step 1: State the null and alternative hypotheses.
H0: p = 0.23 (The proportion of identity theft complaints in the state is equal to the national average.)
H1: p > 0.23 (The proportion of identity theft complaints in the state is higher than the national average.)
Step 2: Determine the sample proportion and sample size.
Sample proportion (p-hat) = 468/1820 ≈ 0.2571
Sample size (n) = 1820
Step 3: Calculate the test statistic.
z = (p-hat - p) / √[(p * (1 - p)) / n]
z ≈ (0.2571 - 0.23) / √[(0.23 * (1 - 0.23)) / 1820] ≈ 1.88
Step 4: Find the critical value and make a decision.
At the 9% level of significance, the critical value (zα) for a one-tailed test is 1.34. Since our test statistic (z ≈ 1.88) is greater than the critical value (zα = 1.34), we reject the null hypothesis.
The data provide enough evidence to conclude that the state had a higher proportion of identity theft complaints than the national average of 23% at the 9% level of significance.
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(please help will mark brainlist)
GCF= greatest common divisor
1.) what is the GCF
9a^4b^4 - 27 a^3b^3
Answer:
9a^3b^3.
Step-by-step explanation:
The GCF of 9 and 27 is 9.
For a^4 and a^3 it is a^3.
For b^4 and b^3 it is b^3.
Answer is therefore:
9a^3b^3.
Answer:
9a^3 b^3
Step-by-step explanation:
hope this helps you have a nice day :)
i use to use this but its whatever works for you the second picture for prime factors
System of differential equations, where p, q ≥ 0: p′ =p(1−p−q) q′ =q(2−3p−q)(a) Construct the phase plane, plotting all nullclines, labeling all equilibria, and indicating the direction of motion. (b) Obtain an expression for each equilibrium
The equilibrium E2 corresponds to a stationary point where p increases (p' > 0) and q does not change (q' = 0).
To construct the phase plane for the given system of differential equations, we first need to find the nullclines and identify the equilibria.
(a) Nullclines and Equilibria:
For the first equation, p' = p(1 - p - q), we set p' = 0 and solve for p:
p(1 - p - q) = 0
This equation has two solutions:
p = 0
1 - p - q = 0
For the second equation, q' = q(2 - 3p - q), we set q' = 0 and solve for q:
q(2 - 3p - q) = 0
This equation also has two solutions:
q = 0
2 - 3p - q = 0
Now we can plot the nullclines on the phase plane:
Nullcline for p' = 0: p = 0 (horizontal line)
Nullcline for 1 - p - q = 0: q = 1 - p (diagonal line)
Nullcline for q' = 0: q = 0 (vertical line)
Nullcline for 2 - 3p - q = 0: q = 2 - 3p (diagonal line)
Next, we identify the equilibria by solving the equations:
Equilibrium for p = 0 and q = 1 - p: p = 0, q = 1 (Equilibrium E1)
Equilibrium for q = 0 and 2 - 3p - q = 0: p = 2/3, q = 0 (Equilibrium E2)
Now we can plot the equilibria on the phase plane.
To indicate the direction of motion, we can choose a few points in different regions of the phase plane and evaluate p' and q' at those points. This will help us determine the direction of the vector field arrows.
(b) Expression for each equilibrium:
For Equilibrium E1: p = 0, q = 1
Substituting these values into the given system of differential equations:
p' = 0(1 - 0 - 1) = 0
q' = 1(2 - 3(0) - 1) = 1
The equilibrium E1 corresponds to a stationary point where p does not change (p' = 0) and q increases (q' > 0).
For Equilibrium E2: p = 2/3, q = 0
Substituting these values into the given system of differential equations:
p' = (2/3)(1 - 2/3 - 0) = 2/9
q' = 0(2 - 3(2/3) - 0) = 0
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Marc eats an egg sandwich for breakfast every morning and a big burger for lunch every day. The egg sandwich has a total of 250 calories. If Marc has 5,250 calories for breakfast, how many and lunch for the week in total, how many calories are in one big burger? Develop an equation using a tape diagram. (2 points ) Solve the equation.
Answer:
Step-by-step explanation:
he ate 21 egg sandwiches
Anybody know this? Find the value of x in o A
let's recall that a circle has a total of 360°. Check the picture below.
help me please!
Without a calculator, choose the statement that best describes the value of√74.
Choose 1 answer:
A: the value of √74 is between 8 and 8.5
B: the value of √74 is between 8.5 and 9
C: the value of √74 is between 9 and 9.5
D the value of √74 is between 9.5 and 10
Answer:
B
Step-by-step explanation:
Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are
A) 64 - 72.25
B) 72.25 - 81.
74 falls between 72.25 - 81. So it'll be B
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?
Answer:60%
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!
You can't, the only factor in both is 1
1(a^4 + 4b^4)
Hope this helps!
Boston wheel chair marathon how long would it take to run a 30 mile race
help plzzzzzzz, and thank you
Answer:
Below
Step-by-step explanation:
Alternate Exterior angles theorem:
- Angle 1 is congruent to angle 12
Consecutive Interior angles theorem:
-Angle 4 is congruent to angle 9
-Angle 3 is congruent to angle 10
SOURCE: Math Planet
Simplify the expression... 0.04(0.7).
hi
Answer:
0.028
Step-by-step explanation:
Just multiply
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Find an equation for the plane containing the two (parallel) lines
v1 = (0, 1, −8) + t(6, 7, −5) and v2 = (8, −1, 0) + t(6, 7, −5).
The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
What are parallel lines?
Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),
We use the equation of a line: v = v₀ + tv₁
where v₀ and v₁ are points on the line and t is a real number.
Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)
This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.
Equate the components:
0x + 1y - 8z = D....(1)
6x + 7y - 5z = D...(2)
Now, we subtract equation (1) from (2) and we get
6x - 0x + 7y - 1y - 5z + 8z = 0
6x + 6y + 3z = 0
Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
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The team won 16 games, lost 6 games and tied 2 games. What percent of the games did the team win?
Answer:
66% or 2/3
Step-by-step explanation:
add all the games up and you get 24 games played total then divide 16 by 24 and you get .66 or 2/3 because 16 is 2/3 of 24 and they are both a multiple of 8
There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?
A.It is possible to split the pistachios into 40 packages because each package will contain 107 pistachios.
B.It is possible to split the pistachios into 40 packages because each package will contain 108 pistachios.
C.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios.
D.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,380 pistachios.
Answer:
C
Step It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios
how may 2/3s are in 9/8
2/3×9/8=
1× 3/4 = 3/4 is the final answer
Answer:
1 i believe or 2
Step-by-step explanation:
you must change the denominator so they both equal the same and then find out how many times 2/3s are in 9/8
What does surface analysis chart show?
Answer:
Step-by-step explanation:
A surface analysis chart is a type of weather map that displays information about the current pressure and wind patterns over a particular region. The chart provides a snapshot of the weather conditions at a specific point in time and helps meteorologists to identify and track the location, movement, and development of high- and low-pressure systems, fronts, and other weather features.
The surface analysis chart typically shows a map of the Earth's surface with various meteorological symbols and information, including isobars (lines of equal pressure), fronts (boundaries between different air masses), and wind direction and speed. The chart may also include information about temperature, precipitation, and cloud cover.
Surface analysis charts are used in weather forecasting, air traffic control, and other applications where an understanding of current weather conditions is important. They provide important information for short-term weather forecasting, such as predicting the location of fronts and the development of thunderstorms, and for long-term weather planning, such as determining the most suitable routes for shipping or aviation.
4.In a right triangle, the sine of one
acute angle is equal to the
____ of the other acute angle.
A.)cosine
B.)sine
C.)tangent
Answer:c
Step-by-step explanation: