The component vectors to a linear combination is given by the equation
A = 20 i^ + 14 j^ - 23 k^
What is the product of vectors?The dot product, or inner product, of two vectors, is the sum of the products of corresponding components. Equivalently, it is the product of their magnitudes, times the cosine of the angle between them . The dot product , also known as the inner product, of u and v to be the number u ⋅ v given by
u ⋅ v = u₁v₁ + u₂v₂ + u₃v₃
An equivalent definition, typically used in physics, is
u ⋅ v = ∣u∣ ∣v∣ cos θ,
where θ is the angle between u and v
Two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero
Given data ,
Let the component vectors be represented as A
The value of A is
< 20 , 14 , -23 > be equation (1)
On simplifying the equation to the linear combination , we get
< 20 , 14 , -23 > = 20 i^ + 14 j^ - 23 k^
So , the linear combination of the vectors is given by the equation ,
A = 20 i^ + 14 j^ - 23 k^
Hence , the equation is 20 i^ + 14 j^ - 23 k^
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The metered rate of fare for a New York City taxi is $2.90 upon entry and $0.25 per 1/8 of a mile when the taxi is traveling 5 miles
or more. Using these as figures, calculate the cost of a taxi ride from the Time Square to JFK Airport, a distance of 18 miles.
Answer:
$38.90
Step-by-step explanation:
$2.00 per mile x 18 miles is 36.00 then add the 2.90
In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of a NaOH solution have been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume that volumes are measured to the nearest mL and describe the sample space. (a) What is the probability that equivalence is indicated at 100 mL? (b) What is the probability that equivalence is indicated at less than 100 mL? (c) What is the probability that equivalence is indicated between 98 and 102 mL (inclusive)?
Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.
What is probability?The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.
Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.
Thus, total possibility = 10.
probability of getting 100 = 1/10
There are 5 volumes which are less than 100 here, [95, 99]. Thus, the probability = 5/10 = 1/2.
There are 5 values between 98 and 102 including these two values.
Hence, probability of getting these range = 5/10 = 1/2.
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Proving Triangles congruent by ASA and AAS
Answer: Congruent by AAS
Step-by-step explanation:
FG and EH are congruent because they are given.
EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.
Angle EIH and Angle FIG are congruent because of the vertical angles theorem.
Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.
Kenneth rode his skateboard 3 miles to the park and it took him 30 minutes. What was his speed
in miles per hour?
Answer:
[tex]speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour[/tex]
PLEASE HELP
y = 2x + 1/3
Answer:
incorrect
Step-by-step explanation:
y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)
Compare 8.002 to 8.20. Which is greater?
Answer:
8.20
Step-by-step explanation:
8.20 is greater than 8.002 due to 0.20 being greater than 0.002
Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18
The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.
What is monthly compounding?Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.
Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.
Thus;
[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]
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What is the volume of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for
Answer:
1357.17 inches³
Step-by-step explanation:
Answer:
Step-by-step explanation:
If this not right I am sorry I got 1357.17 the radius is 9in the height is 16 in
Sorry if I am not right
Use the distributive property to find the equivalent expression.
10(8 + 3h) =
Answer:
80+30h
Step-by-step explanation:
find the area of ABC
Area = 1/2*b*h
[tex]1 \times 2 \times b \times h[/tex]
- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.
It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.
What size does a flag have?Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.
Why are all flags square?A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.
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What is the exact value of
sin
Write the equation of the line (please answer will mark brainlist)
If z is a standard normal random variable and A is a positive number, then P(z<−A)=P(z>A)
True or False?
Answer:
True
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
As the normal distribution is symmetric, we have that [tex]P(z < -A) = P(z > A)[/tex]
For example:
[tex]z = -2[/tex] has a pvalue of 0.0228, which means that [tex]P(z < -2) = 0.0228[/tex]
[tex]z = 2[/tex] has a pvalue of 0.9772, which means that [tex]P(z > 2) = 1 - 0.9772 = 0.0228[/tex]
True or False?
As shown above, this statement is True, due to the symmetry of the normal distribution.
7 3
What is another way to write the equation +--62
O
7+3
8+4
7 3
08
x=-6
7
X=-6
3
an equation to model this situation is 200 = x+ 2 *t and 220 pounds is his total weight after 30 weeks
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
x initial weight of John
weight gained 1 week = 2 pounds
no. of weeks = 20=t
Final weight of John = 200 pounds
200 = x+ 2 *t ---------(1)
no. of weeks = 20=t
From eq(1)
x = 160 pounds= intial weight
So,
[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]
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6 Time différence n and 15
URGENT CLICK TO SEE LINKS WILL GET REPORTED
Answer:
what?
Step-by-step explanation:
What is the constant rate of change for the relationship shown in the table?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
PLEASE HELP!!! 15 points!
Answer:
-134/4
Step-by-step explanation:
It equals -33.75.
Answer:
-1215/32Explanation:
90 × (-3/4) = -135/2
-135/2 × (-3/4) = 405/8
405/8 × (-3/4) = -1215/32
Which of the following BEST describes a TREE?
a) A complete graph, with exactly 4 vertices.
b) A connected graph, each vertex has a degree of 2 or greater.
c) A connected graph with at least 3 cycles.
d) A connected graph with no cycles.
Answer:
Step-by-step explanation:
We first start understanding what is a tree:
A tree can be understood as a graph such that two nodes ( or vertices ) are connected by at most one path.
So the best definition that fit the above one is d. Note that
In a complete graph we have multiple paths to connected two nodes. So that a is false. Similarly, b is false. If we have cycles in a graph, that implies more than two paths to connected two nodes. So c is false.
A connected graph with no cycles is used to describe a TREE so option (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
A TREE diagram is a graph where any two nodes or more are connected at one node by another segment while another remains open.
Since the TREE diagram is become by the disconnected node at one end it means it is not going to form any cycle.
Hence "A connected graph with no cycles is used to describe a TREE".
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If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The Length of shadow is 35.56 ft.
Given that,
If the sun is 68° above the horizon.
Based on the above information, the calculation is as follows:
tan68° =BC divide AC
tan68° =88 divide b
b =88 divide tan68°
=88 divide 2.475
= 35.56 ft.
someone please help me !
Answer:
You to it right, 18
Step-by-step explanation:
Answer:
27 ft I think
Step-by-step explanation:
The answer is 27
Help
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Write a recipe for a mixture that will make the same shade of green but a larger amount.
A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Now,
2 Cups of Yellow + 3.5 Cups of blue
Multiply all by 2
=4 Cups of Yellow + 7 Cups of Blue
Hence, a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
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PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.
PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.
I PUT IT TWICE BECAUSE U PEOPLE DONT GET IT!!!!!
NO LINKS OR NON ANSWERS!!!!
DONT MAKE ME GO CRAZY!!!!
Answer:
2209
Step-by-step explanation:
The interquartile range is the 3rd quartile minus the 1st quartile. To find the quartiles, you need to find the median.
First, put the values in order.
17012, 18140, 17362, 16697, 14387 becomes
14387, 16697, 17012, 17362, 18140
The median is the value in the middle, so 17012. The first quartile is the median of the numbers to the left of the median. The numbers to the left are 14387 and 16697. Because there are an even amount of numbers, there's no middle. So the median of those values is the average (aka the sum divided by the number of values).
14387 + 16697 = 31084. Then divide that by 2 (the number of values) and you get 15542. So 15542 is the first quartile.
The 3rd quartile is the median of the values to the right. It is 17751 because 17362 and 18140 are the numbers to the right of the median. 17362 + 18140 = 35502 and 35502/2 = 17751.
The interquartile range is the 3rd quartile minus the 1st quartile
17751 - 15542 = 2209
Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.
Answer:
21.8
Step-by-step explanation:
hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.
area of circles are πr^2, so in this situation
π4^2 which is 16π.
with this, the semicircle which is half a circle would give us
16π/2 which is 8π.
but then, we have two semicircles removed so we would have as an answer:
(9*8)-8π+8π
72-16π
then you would have to round so
16π is around 50.2
so 72-50.2 is 21.8
i hope this helped you <33
Will give brainly if right
Answer:
you are correct, it is all of the above
plz help quick 100 points
Answer:
30
Step-by-step explanation:
49-31+12= 30
___________
Find the measure of k
Answer:
k = 56 degrees
Step-by-step explanation:
The big triangle is isosceles so the base angles are congruent. The total angle measure is 180, so the base angles are half of 180 - 56 = 124. The base angle at the lower right measures 62 degrees.
The inner triangle is also isosceles. Both its base angles must measure 62 degrees (total = 124, again!). The remaining angle, k , measures 180 - 124 = 56.
In an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3. what is the probability that A occurs given that B occurs?
Answer:
The probability that A occurs given that B occurred is 333/400, that is, 83.25%.
Step-by-step explanation:
Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:
4/5 = 0.8
2/3 = 0.666
0.8 x X = 0.666
X = 0.666 / 0.8
X = 0.8325
0.8325 = 333/400
Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.
Which of the following statements is TRUE if angle 4 has a measure of 127°?
If you can’t see the answer choices I apologize, but you can zoom in the photo.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
A
Step-by-step explanation:
the sum of angle 1 and angle 4 is 180
the answer is A because 53 + 127 = 180