The paths walked by two different people are represented by the vectors graphed below.
Which point represents the sum of the two paths?
A
(3,6)
B
(6,11)
C
(8,11)
D
(8,6)
Answers
Answer:
8,6
Step-by-step explanation:
if its the sum, you just add them together.
Related Questions
Two-fifths of the stage crew are girls. if there are 30 members of the stage crew, how many are girls?
Answers
Answer:
12 girls
Step-by-step explanation:
30*(2/5)=12
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 5 + y2, x = 0, y = 2, y = 3
Answers
The volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis will be V = 149.2.
From the question.
x = 5 + y2,
x = 0,
y = 2,
y = 3
What is the equation for the volume?The equation for the volume is mathematically given as
\(V = \int\limits^3_2 (2\pi y)(5+y^2) \, dy \\\\\\V = 2\pi \int\limits^3_2(5y+y^3) \, dy \\\\\\V = 2\pi \frac{5y^2}{2} + \frac{y^4}{4} |^3_2\\\\\\V = 149.2\)
Therefore
The volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis will be V = 149.2.
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2-D shape
Rectangle
Square
Parallelogram
Rhombus
Triangle
Illustration
Properties
1) What properties are common across a square and a rectangle and what is the
distinguishing feature?
(2)
2) Do you agree with the statement that a square is a special type of rectangle? Give a reason
for your answer.
(2)
3
3) What properties are common across a rhombus and a parallelogram and that is the
distinguishing feature?
5) What are the three features used to describe 3-dimensional objects?
(2)
4) Do you agree with the statement that a rhombus is is a special type of parallelogram? Give
a reason for your answer.
(2)
(2)
Answers
The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.
Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.
The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.
Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.
The three features used to describe 3-dimensional objects are faces, edges, and vertices.
The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.
Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.
The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.
Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.
The three features used to describe 3-dimensional objects are:
Faces: The flat surfaces that make up the object.
Edges: The lines where two faces intersect.
Vertices: The points where multiple edges meet.
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Math work I hope you can see
Answers
What is the rationale for the above responses?
1) to obtain the value of x, we must equate AC and BD based on the diagonal properties of a rectangle. Note that a rectangle's diagonal divides it into two congruent right triangles.
A rectangle's diagonals are all the same length. A square is a quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent.
Thus,
Since BD = AC
2x + 19 = 5x - 2
To solve the equation 2x + 19 = 5x - 2, we need to isolate x on one side of the equation.
First, we can simplify both sides by combining like terms. Subtracting 2x from both sides gives:
19 = 3x - 2
Next, we can isolate x by adding 2 to both sides:
21 = 3x
Finally, we can solve for x by dividing both sides by 3:
x = 7
Therefore, the solution to the equation 2x + 19 = 5x - 2 is x = 7
b) The Properties of Parallel Lines Intersected by a Transverse Postulate states that when a transversal intersects two parallel lines, the corresponding angles are congruent, the alternate interior angles are congruent, and the same-side interior angles are supplementary. This means that
∠LMN + ∠MNK = 180°
Thus,
115 + ∠MNK = 180
∠MNK = 180 - 115
∠MNK = 65°
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Which of the following is Playfair's axiom?
A. A straight line segment can be drawn between any two points.
B. A circle can be drawn with any center and radius.
C. Through a given point not on a given line, there is exactly one line
parallel to the given line.
D. All right angles are equal to one another.
Answers
Answer:
C. Through a given point not on a given line, there is exactly one line parallel to the given line.
Step-by-step explanation:
hope i helped
Answer:
Look down
Step-by-step explanation:
Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.
A cone has a volume of 3014.4 cubic inches and a radius of 12 inches.what is the height?
Answers
h = 20inches
Explanations:The formula for calculating the volume of a cone is expressed as:
\(V=\frac{1}{3}\pi r^2h\)where:
r is the radius
h is the height
Given the following
r = 12 inches
V = 3014.4 cubic inches
Substitute to determine the height
\(\begin{gathered} 3014.4=\frac{1}{3}\times3.14\times12^2\times h \\ 3014.4\times3=452.16h \\ h=\frac{9043.2}{452.16} \\ h=20inches \end{gathered}\)Hence the height of the cone will be 20inches
From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided
Answers
The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
We know that the method to find the axis of the symmetry of the parabola is given by:
x = - b / 2 a
We have the general equation of the parabola as:
y = a x² + b x + c
We have the equation of the parabola as:
y = - 4 x² + 24 x - 35
Comparing from this equation, we get that:
a = - 4
b = 24
c = - 35
Now, substituting the values, we get that:
x = - 24 / 2 (- 4)
x = - 24 / - 8
x = 24 / 8
x = 3
Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
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Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal, with a mean of 35 psi and a standard deviation of 2 psi. What percentage of tires are inflated to a pressure between 33.5 and 36 psi?
Find the z-table here.
22.55%
46.48%
53.52%
77.45%
Answers
Answer:
Step-by-step explanation:
The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:
Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ
where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35=−0.75
This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35=0.5
This means that 36 psi is 0.5 standard deviations above the mean.
Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.
Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649
This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.
Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%
An example of a sixth-degree polynomial with a leading coefficient of seven and a constant term of four is
A:6x^7-x^5+2x+4
B:4+x+7x^6-3x^2
C:7x^4+6+x^2
D:5x+4x6+7
Answers
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. A function that can be expressed as a polynomial is referred to as a polynomial function. A polynomial equation's definition can be used to derive the definition. A polynomial is typically denoted by P. (x). The degree of the variable in P(x) is its maximum power. The degree of a polynomial function is crucial because it reveals how the function P(x) will behave when x is very large. Whole real numbers make up a polynomial function's domain (R).
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
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A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answers
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
evaluate:(0.0001)-¾
Answers
Answer:
0.001
Step-by-step explanation:
(0.0001)^-3/4=((0.1)⁴)^-3/4
(0.1)^4×-3/4
0.1^‐3
0.001
What’s the correct answer for this question?
Answers
Answer:
\(0.63\)
Step-by-step explanation:
Randomly selected orange can be organic or non-organic.
\(0.19/(0.19+0.11)\)
\(0.19/0.3\)
\(=0.63333333333\)
Hello, can someone help me with this please, I have to watch the video and then answer the questions below.
1. How can having children act out number operations stories help their conceptual understanding?
2. What are your thoughts about the way these teachers put the emphasis on helping children see change in terms of more or fewer/less rather than having them count on to find the exact total?
3. Several of the children in the video are English Language Learners; what evidence do you see that they understand the Big Ideas though they don't articulate them in words?
Answers
Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.
C. The total value of Japanese imports is greater than the total value of the country's exports.
D. A French restaurant buys food from nearby farms to support the local economy.
Answers
Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.
Absolute advantage is the potential of an individual, a company, or a country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.
A factory in German has an absolute advantage because it can produce more sports car than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.
Therefore, the correct answer is option A.
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A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125.
Find the common ratio.
Answers
The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
In a geometric sequence,
The third term is 100 and the eighth term is 3.125.
Now,
We know that;
The nth term of geometric sequence is,
⇒ \(T_{n} = a r^{n - 1}\)
Hence, The third term is;
⇒ \(T_{3} = a r^{3 - 1} = 100\)
⇒ \(a r^{2} = 100\) ..(i)
And, The eighth term is,
⇒ \(T_{8} = a r^{8 - 1} = 3.125\)
⇒ \(a r^{7} = 3.125\) ..(ii)
Divide equation (ii) by (i), we get;
⇒ ar⁷ / ar² = 3.125/100
⇒ r⁷ / r² = 3125 / 100000
⇒ r⁷⁻² = 3125 / 100000
⇒ r⁵ = 3125 / 100000
⇒ r = 5/10
Thus, The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
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Correct the error by evaluating the function.
g (-2)=
Answers
The error in the evaluation of the function g(x)=-5x+3 when x=-3 is in the last step, where the answer is incorrect. The value of g(x) at x = -3 is 18.
How to explain the functionHere, the given function is:
g(x) = - 5 x + 3
Now, for the value of x = -3 ,
g (-3) : Substitute the value of x = -3 in g(x) , we get
g (-3) = -5 (-3) + 3
= 15 + 3 = 18
or, g ( -3) = 18
Therefore, the error in the evaluation of the function g(x)=-5x+3 when x=-3 is in the last step, where the answer is incorrect. The value of g(x) at x = -3 is 18.
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Describe and correct the following error for evaluating the function g(x)=-5x+3 when x=-3.
g(-3)=(-5)(-3)+3=-3g+g=-6
For the function f(x) = -x^3 + 2x^2 + x - 2
a. Show that (x - 1) is a factor of f(x).
b. Find other factors.
c. Sketch the graph of f(x) = -x^3 + 2x^2 x - 2
Answers
Answer:
Step-by-step explanation:
a)
\(f(1)=-1^3+2*1^2+1-2=-1+2+1-2=0\\\\\)
b)
Rationnel roots are divisor of -2: -1,1,-2,2
\(f(-1)=-(-1)^3+2*(-1)^2+(-1)-2=1+2-1-2=0\\\\\begin{array}{c|cccc}&x^3&x^2&x&1\\---&---&---&---&---\\&-1&2&1&-2\\x=1&&-1&1&2\\&-1&1&2&0\\\\x=-1&&1&-2\\&-1&2&0\\---&---&---&---&---\\\end {array}\\\\\\f(x)=-x^3+2x^2+x-2=(x-1)(x+1)(-x+2)\\\\\)
c) see picture
Answer to each expression
(3 + 9) x 2 dived 4
Answers
Answer: \(6\\\)
Step-by-step explanation:
\(\frac{(3+9) * 2}{4}\)
Add 3 and 9 to get 12.
\(\frac{12 * 2}{4}\)
Multiply 12 and 2 to get 24.
\(\frac{24}{4}\)
Divide 24 by 4 to get 6.
\(6\)
Christina used 2 1/3 gallons of gas to drive her car 64 1/6 miles. What was the fuel efficiency of her car, in miles per gallon, for the trip?
Answers
Answer: 27 1/2 miles per gallon
Step-by-step explanation: trust me bro
Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
Answers
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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6.) At a concert, you purchase 4 CD's and a poster for a total cost of $80. The poster cost $12.
Write and solve an equation to find the cost of one CD.
Answers
Answer:
17$ per CD equation : 4x + 12 = 80
Step-by-step explanation:
4x + 12 = 80
80 - 12 (poster) = 68
68/4(cds) = 17
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
Someone help with this equation
Answers
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
11 times the sum of a number and 3
Answers
Answer:
11(x+3) is correct answer. Please Mark it as brainlist answer.
Step-by-step explanation:
let's say the unknown number be x
11(x+3)Simplify it:
11(x+3)
=11x+33one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
Answers
The probability that either event will occur is 0.62
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 6 + 6 = 12
Event B = 20 + 6 = 26
Both A and B = 6
Other Events = 20
Using the above as a guide, we have the following:
Total = A + B + C + Others - Both
So, we have
Total = 12 + 26 - 6 + 20
Evaluate
Total = 52
So, we have
P(A) = 12/52
P(B) = 26/52
Both A and B = 6/52
For either events, we have
P(A or B) = (12 + 26 - 6)/52
Evaluate
P(A or B) = 0.62
Hence, the probability that either event will occur is 0.62
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\((15+23)+7=15+(_______+7)\)
Answers
Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
Answers
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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the equation that models the height above or below the equilibrium in inches h of a spring over time in seconds t is h=-30cos(2pi/5t) at which times will the spring be at a height of 20 inches above equilibrium select two answers
Answers
Answer:
\(B,\text{ C}\)Explanation:
Here, we want to get the times at which the spring will be at a height of 20 inches above equilibrium
A way to solve this is to plot the graph of the given function
We have the plot as shown below:
Now, we proceed to look at the t-values where we have h at 20
Looking at the plot, we have the correct answer choice at t = 3.2 seconds and t = 1.8 seconds
