The vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩ we get by multiplying
To find 2v, we simply need to multiply each component of the vector v by 2:
2v = 2⟨-5, -3⟩
Multiply 2 with the vector v
= ⟨2(-5), 2(-3)⟩
= ⟨-10, -6⟩
Therefore, the vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩
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15 On Friday, 13,728 tickets were sold for a play. On Saturday,
15,419 tickets were sold, and 12,399 tickets were sold on Sunday.
What was the total number of tickets sold for the play?
Show your work.
Answer:
41,546
Step-by-step explanation:
13,728+12,399+15419=41,546
Select all of the properties that apply to all squares and all rhombus.
Square and rhombus have
4 equivalent sides
4 angles
2 pair of congruent sides
2 pair of parallel sides
Given A(22) = 188 and d = 19, what is the value of a₁? A. a₁ = 587 B. a₁ = -211 C. a₁ = 606 D. a₁ = 9.9
When the value of A(22) = 188 and d = 19 are given then the value of a₁ is -211. The correct answer is option B. The problem seems to be related to arithmetic sequences.
where A(n) represents the nth term of the sequence and a₁ represents the first term of the sequence. We can use the formula for the nth term of an arithmetic sequence:
A(n) = a₁ + (n-1)d
where d is the common difference between consecutive terms.
We are given that A(22) = 188 and d = 19. Substituting these values in the formula, we get:
188 = a₁ + (22-1)19
Simplifying this equation, we get:
188 = a₁ + 399
a₁ = 188 - 399
a₁ = -211
Therefore, the value of a₁ is -211, which is option B.
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What graph represents the function f(x) = |x+3|?
Answer:
no sé xdxd espero te ayude xd
Answer:
The graph should go left 3 not right 3.
Macy’s was offering a Memorial Day sale. The price of a shirt is now $21.25. The original price was $25. What is the percent of change from the original to the sale price?
Answer:
The original price drops by 15%.
Step-by-step explanation:
What was the drop in price? To answer that, subtract $21.25 from $25, which results in $3.75.
Now compare $3.75 to the original price, $25, through division, as follows:
$3.75
-------------- * 100% = 15%
$25
The original price drops by 15%.
Bobby drove 10 miles, and
his car used up 5 gallons of
gas. How many miles can
he drive with 16 gallons of
gas?
Answer:
32
Step-by-step explanation:
10/5 = 2 you go 2 miles per gallon of gas
there for 16*2= 32 miles on 16 gallons of gas
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
$3,000Step-by-step explanation:
This problem is based on compound interest, and the expression for the compound interest is given as
Given Data
A = final amount = ?
P = initial principal balance = $2,500
r = interest rate = 2.1%= 0.021
t = number of time periods elapsed= 14 years
Substituting our data into the compound interest formula we can solve for the final amount
\(A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\\)
Hence to the nearest hundred we have the account balance has $3,000
Answer:3400
Step-by-step explanation:
Solve this equation by using quadratic formula.
2y^2+y-15=0
Please explain step by step!(Just trying double check my work!)
Using quadratic formula, the solution to the quadratic equation 2y² + y - 15 = 0 is y = - 3 and 5 / 2.
How to use quadratic formula?The quadratic formula helps us solve any quadratic equation. A quadratic equation is represented as follows:
ax² + bx + c
where
a , b and c are constantTherefore, the quadratic formula used to solve quadratic equation is as follows;
\(\frac{-b+\sqrt{b^{2 - 4ac} } }{2a}\) and \(\frac{-b-\sqrt{b^{2 - 4ac} } }{2a}\)
Hence, the quadratic equation to solve is 2y² + y - 15 = 0
Hence,
a = 2b = 1c = -15Therefore,
\(\frac{-1+\sqrt{1^{2 - 4.2.-15} } }{2.2}\) and \(\frac{-1-\sqrt{1^{2 - 4.2.-15} } }{2.2}\)
\(\frac{-1+\sqrt{121} }{4}\) and \(\frac{-1-\sqrt{121} }{4}\)
Therefore,
y = \(\frac{-1+11}{4}\) and \(\frac{-1-11}{4}\)
y = 10 / 4 and - 12 / 4
y = - 5 / 2 and y = - 3
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Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle X? Group of answer choices 60o 120o 150o 30o
===========================================================
Explanation:
Based on the diagram, angles L and X are the top most angles. They correspond to have angle L = angle X = 60 degrees
Though you shouldn't rely solely on a diagram because the figures may be oriented in a strange way. A better way is to look at the letter sequences of JKLMN and VWXYZ
Notice how L and X are the third letters of JKLMN and VWXYZ respectively. This means the letters pair up and are congruent angles (since the polygons are similar). So this is a non-visual way to see how angle L = angle X = 60.
STANDARD FORM - 2 QUESTIONS - PLEASE HELP!!!
Answer:
ggbbbn nnkkk
my bed
Step-by-step explanation:
my ded gold ghniygbjjyghn
Answer:
1) 380,000 and 59,000
2) 657,000
Step-by-step explanation:
631,000 + 26,000
631000 = 600000 + 30000 + 1000 + 0 + 0 + 0
26000 = 0 + 20000 + 6000 + 0 + 0 + 0
600000 + 50000 + 7000 + 0 + 0 + 0 = 657000
PLZ help fast thank you
Answer:
Step-by-step explanation:
An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:
One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.
As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.
We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where
\(tan\theta=\frac{opp}{adj}\) where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:
\(tan53=\frac{opp}{12}\) and multiply both sides by 12 to get
12tan53 = opp and do this on your calculator to get that
opp = 15.9 inches
What absolute value function is represented by the graph?
Answer: y=|x+1.5|
Step-by-step explanation:
y=|x+1.5|
34. Name an error-detection method that can compensate for burst errors
One error-detection method that can compensate for burst errors is the cyclic redundancy check (CRC).
This method involves adding extra bits to the data being transmitted, which can detect and correct errors in the data. and has error detection. CRC is particularly effective in detecting and correcting burst errors, which occur when a group of consecutive bits are corrupted in a data transmission.
An error-detection method that can compensate for burst errors is the "Reed-Solomon code". Reed-Solomon codes are block-based error correcting codes that can detect and correct multiple errors in data transmissions, making them highly effective in handling burst errors. These codes compensate for burst errors by using redundant information added to the original data, allowing the receiver to accurately reconstruct the original data even in the presence of errors.
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a(n) ________ is a representation of reality or a real-life situation. group of answer choices objective algorithm analysis none of these model
A model is a representation of reality or a real-life situation. The correct answer is E.
The correct answer is "model."A model is a representation of reality or a real-life situation. It can be used to simulate or describe the behavior of a system, process, or phenomenon.
Models are often used in various fields such as science, engineering, economics, and computer science to understand and analyze complex systems or make predictions about real-world scenarios.
A model is a simplified or abstract representation of a real-life situation or system. It captures the essential features or characteristics of the system while ignoring or simplifying irrelevant details. Models can be physical, conceptual, or mathematical in nature.
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What is the slope from the following equation?
52x - 620 = y
Answer:
m=52
Step-by-step explanation:
yes again pls help guys
Answer:
60
Step-by-step explanation:
Q1. Circle the odd one out from the given fractions: (01)
2/5 6/15 8/10
Answer:
I think it is both first and second
Step-by-step explanation:
f(x,y)=−4x2+4xy−2y2+6x+8y Suppose that there is a constraint such that xy≤15, What is the value of y that optimizes the function? Question 17 f(x,y)=−4x2+4xy−2y2+6x+8y Suppose that there is a constraint such that xy≤15, what is the Lagrange Multiplier?
The value of y that optimizes the function is y = 3/2. The Lagrange Multiplier in this case is -105/8.
To optimize the function \(f(x, y) = -4x^2 + 4xy - 2y^2 + 6x + 8y\) subject to the constraint xy ≤ 15, we can use the method of Lagrange multipliers.
The Lagrangian function is defined as:
L(x, y, λ) = f(x, y) - λ(g(x, y) - 15)
where g(x, y) = xy is the constraint equation.
To find the optimal value of y, we need to solve the following system of equations:
∂L/∂x = -8x + 4y + 6 - λy = 0 (1)
∂L/∂y = 4x - 4y + 8 - λx = 0 (2)
g(x, y) - 15 = xy - 15 = 0 (3)
From equation (1), we can rearrange it as:
-8x + 4y - λy = -6 (4)
From equation (2), we can rearrange it as:
4x - 4y - λx = -8 (5)
To solve this system of equations, we can eliminate λ by multiplying equation (4) by x and equation (5) by y, and then subtracting the resulting equations:
\(-8x^2 + 4xy - λxy = -6x (6)\\4xy - 4y^2 - λxy = -8y (7)\)
Subtracting equation (7) from equation (6), we get:
\(-8x^2 + 4xy - 4y^2 = -6x + 8y\)
Simplifying this equation gives:
\(-8x^2 - 4y^2 + 4xy = -6x + 8y\)
Rearranging terms, we have:
\(-8x^2 + 4xy + 6x - 4y^2 - 8y = 0\)
Factoring, we get:
(2x - y)(-4x - 2y + 6) = 0
Setting each factor equal to zero gives:
2x - y = 0 (8)
-4x - 2y + 6 = 0 (9)
From equation (8), we can solve for y:
y = 2x (10)
Substituting equation (10) into equation (9), we get:
-4x - 4x + 6 = 0
Simplifying, we have:
-8x + 6 = 0
Solving for x, we find:
x = 3/4
Substituting this value of x into equation (10), we can find y:
y = 2 * (3/4) = 3/2
Therefore, the value of y that optimizes the function is y = 3/2.
To find the Lagrange Multiplier, we substitute the optimal values of x and y into the constraint equation (3):
xy - 15 = (3/4) * (3/2) - 15 = 9/8 - 15 = -105/8
Hence, the Lagrange Multiplier is -105/8.
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sketch the solution to each system of inequalities
The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)
SYSTEM OF INEQUALITIESThe inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.
The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.
The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.
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You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38
Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.
What is System of Linear EquationA system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.
In this problem, we need to define our variables and the solve the equations.
Let;
x = cost of shirty = cost of pantx + 2y = 31 ...eq(i)
3x + y = 38 ...eq(ii)
Solving both equations
x = 9, y = 11
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Ariana owns a food truck that sells tacos and burritos. She only has enough supplies
to make 120 tacos or burritos. She sells each taco for $3.75 and each burrito for
$7.25. Ariana must sell no less than $580 worth of tacos and burritos each day. If x
represents the number of tacos sold and y represents the number of burritos sold,
write and solve a system of inequalities graphically and determine one possible
solution.
One possible solution to the system of inequalities is (90, 50)
How to solve the system of inequalities graphically?From the question, we have the following parameters:
Supplies = 120 tacos or burritos
This means that
x + y = 120
Where x represents the number of tacos and y represents the number of burritos
Also, we have
She must sell no less than $580
This means that
3.75x + 7.25y >= 580
So, we have the system of inequalities to be given as
x + y = 120
3.75x + 7.25y >= 580
Next, we plot the system of inequalities on a graph
See attachment for the system of inequalities on a graph
From the attached graph, we have both lines of the graph intersect at (82.857, 37.143)
When the point is moved to the shaded region, we have one of the possible points to be (90, 50)
Hence, the solution to the system of inequalities is (90, 50)
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Answer this easy geometry question
Answer:
1684.8 cubic units
Step-by-step explanation:
In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.
h + 7² = 13²
h²= 169 - 49
h² = 120
h = √120
h = 10.95 units
radius = r = 7 units
\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)
= 3.14 * 7 * 7 * 10.95
= 1684.8 cubic units
John deposits 4000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 5 years
HELPPPP
FAST
please!!!!!
Mr. Ruiz bought a truck for $2,700. He sold it at a profit of 20% to Ms. Jackson. Ms. Jackson also
sold it but at a loss of 15%.
a How much did Mr. Ruiz sell the truck for?
Answer:
$3240
Step-by-step explanation:
2700x.20=540
2700+540=3240
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
Answer:
m∠D = 14
Step-by-step explanation:
According to the vertical angle theorem, both of these angles are congruent.
This means that they are equal (m∠C = m∠D) and we can solve for x:
m∠C = m∠D
-x + 26 = 2x - 10 (substitute in the equations)
-3x + 26 = -10 (subtract 2x from both sides)
-3x = -36 (subtract 26 from both sides)
x = 12 (divide both sides by -3)
Now that we know what x is, we can find m∠D by plugging it back into the equation:
m∠D = 2x - 10
m∠D = 2(12) - 10 (substitute the value for x in)
m∠D = 24 - 10
m∠D = 14
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.
∠C = ∠D
-x + 26 = 2x - 10
3x = 36
x = 12
Then the measure of the angle D will be
m∠D = 2x - 10
m∠D = 2(12) - 10
m∠D = 24 - 10
m∠D = 14°
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
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Help me with this question i don’t understand what to do
Answer:
- 36
Step-by-step explanation:
First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).
g(18) = \(\sqrt{2(18)}\) = \(\sqrt{36}\) = 6, then
h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then
f(12) = - 3(12) = - 36
Create a list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode.
A list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode is
0, 1, 5, 7, 8, and 9How to create the listsince the numbers will have no mode so they are all different
Assuming the numbers are: a, b. c. d. e. and f
The average is 5
(a + b + c + d + e + f ) / 6 = 5
a + b + c + d + e + f = 30
The median is 6
(c + d)/2 = 6
c + d = 12 (assume c = 5 and d = 7)
range is 9
f - a = 9, since it is a one digit number a range of 9 is possible for 9 - 0
hence a = 0 and f = 9
substituting assumed values to the average
0 + b + 5 + 7 + e + 9 = 30
b + e + 21 = 30
b + e = 9 (let b = 8and e = 1)
hence the numbers are
0, 1, 5, 7, 8, and 9
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solve please ;3 ( will give brainliest ♡ )
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.
Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
How is solving 2x c= d similar to solving 2x 1 = 9 for how are they different? how can you use 2x c= d to solve 2x 1 = 9? free anser
The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4
The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.
However, they are different in that they have different constants and coefficients.
How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.
To do this, you need to isolate x on one side of the equation. 2x + 1 = 9
Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.
Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.
We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.
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