9514 1404 393
Answer:
3u+2v = 21i +11ju·v = 8Step-by-step explanation:
The desired sum is ...
3u +2v = 3(3i +5j) +2(6i -2j) = (3·3 +2·6)i +(3·5+2(-2))j = 21i +11j
__
The dot product is the sum of products of corresponding component values.
u·v = (3)(6) +(5)(-2) = 18 -10 = 8
Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?
Answer:
480 minutes or 8 hours
Step-by-step explanation:
1 student = 15 minutes
32 students = x
x= 32 students *15 minutes
x= 480 minutes
480 minutes it takes for all of his students to present their reports.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Students= 32
Each student can take = 15 minutes.
So, time taken by 32 students
= 32 x 15
= 480 minutes.
Hence, students take 480 minutes to complete the report.
Learn more about Unitary Method here:
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(a) 14x - 3x + 16 = 7(x - 4)
Solve the linear equation
Answer:
x=-11
Step-by-step explanation:
14x-3x+16=7(x-4)
Distribute
14x-3x+16= 7(x) + 7(-4)
14x-3x+16=7x-28
Combine Like Terms
11x+16=7x-28
Combine like terms
4x+16=-28
Combine like terms
4x=-44
Isolate x
x=-44/4
Simplify
x=-11
If this helps please mark as brainliest
Find the value that makes the proportion true
5/6= ?/180
Answer:
D, or 150
Step-by-step explanation:
We can see that we have to multiply 6 by 30 to get 180. So, if we multiply the denominator by this and we want an equal fraction, we can multiply 5 by 30 to get [tex]5\cdot30=150[/tex].
Answer/Step-by-step explanation:
I think its "D. 150"!
-Hope this helped, Comment if you have any other questions!
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answer:
∠GAF ≌ ∠TAE is lie
Step-by-step explanation:
∠GAF ≌ ∠TAE is lie
both are not push back angles.
A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion. Question 21 options: There is not enough evidence to conclude that the proportion of registered organ donors is not less than 40%. There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%. P-value
Answer:
Pvalue = 0.193
There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Step-by-step explanation:
H0 : p = 0.4
H1 : p < 0.4
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 74 / 200 = 0.37
Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200
Z = - 0.03 / √0.0012
Z = - 0.03 / 0.0346410
Z = - 0.866
Test statistic = -0.866
The Pvalue :
P(Z < -0.866) = 0.193
α - level = 0.05
If Pvalue < α ; Reject H0
Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have
In the figure to the right, what is the measure of angle DAC ?
I’m not going to show answer Options because I don’t want anyone to put something random
Don’t put links cs I’m not going to press it <3
Answer:
47 degrees
Step-by-step explanation:
i am super smart
What is 103% of 127?
Answer:
130.81
Step-by-step explanation:
127 ⋅ ( 103/ 100 ) =130.81
2. Celesta used to spend 90 minutes a day on the phone. Now she spends
60 minutes a day. What is the PERCENT DECREASE? *
Answer:
33%
Step-by-step explanation:
sorry my bad i did percentage increase.
Which of the following is a geometric sequence? *
O -1, -3,9,27,...
0 -1,2 -4,8....
O 1,4,9,16,...
O 1,3,5,7,...
Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth
Answer: The correct choice is letter C.
Step-by-step explanation:
Cosine = adjacent/hypotenuse
In this triangle, you are looking for angle degree of cos X.
When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].
The adjacent side from x is 12 and the hypotenuse is 15.
So you form your trig ratio which is your answer.
[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80
Find the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.
Answer:
9/10
Step-by-step explanation:
(3/5)/(2/3)=(3/5)(3/2)=9/10
Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.
Answer:
Option C
Step-by-step explanation:
The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct
As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect
Option D is true to its words , hence it is also a wrong choice for this question
Hence, option C is correct
Answer:
You can resolve poor data collection by increasing the sample size
Step-by-step explanation:
What is
6+√36
pleaseeeee
Answer:
The answer is 12
Step-by-step explanation:
6+the root of 36 =12
the volume of the cone shown below is 108pie cm^3. What is the value of H?
Use V=1/3PIE r^2 for the volume of a cone
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020
Answer:
n = 6
Step-by-step explanation:
Given the following data;
Sum of interior angles, S = 720°
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sim of the interior angles
720 = 180(n - 2)
720 = 180n - 360
180n = 720 + 360
180n = 1080
n = 6
please help me i really need this
Answer:
1. pi or π
2. 7,234.6
3. 26.4
4. 94.2
hope it helped :)
Step-by-step explanation:
Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.
P-P H-P R-P
P-H H-H R-H
P-R R-R
What is the missing term for this compound event? What is the sample size?
A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.
Answer:
B). The missing term is H-R, and the sample size is 9.
Step-by-step explanation:
Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.
As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.
Answer: the answer is B :)
Step-by-step explanation:
-5 3/4 - 3 1/2 =?
A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3
Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
Get a common denominator
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-8 5/4
Rewritng
-8 4/4 - 1/4
-9 1/4
What is the mean?
-4 -3 0 -4 -3 0
Answer:
−4−(3)(0)−4−(3)(0)
=−8
Answer:
-2 and 1/3
Step-by-step explanation:
-4+-3+0+-4+-3+0 = -14
6 numbers
-14/6 = -2 1/3
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
Learn more about geometric sequence here:
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What is a hand drawn picture or design of a 3D object
Answer:
hello
Step-by-step explanation:
i think it is modelling
hope it helps
have a nice day
I am pretty sure it's modeling!
Pls help 10 ptsss
NO LINKS
Answer:
0,15/ 5,20/ 10,25/ 15,30/ 25,35
Step-by-step explanation:
the additional hours is x and total hours is y.
ILL GIVE BRAINLEST, please show work :)
Answer:
the answer would be 35.7 the reason why is because your multiplying the width by its heigh
Step-by-step explanation:
4.2x8.5=35.7
Can someone please help me with 5 and 6 like rnnn please???
Answer:
6 is 140°
step by step
same line meant that the angle abc equals 180°
so DBC =180-40=140° .
Alexa and Siri are each working on an assignment that is 60 questions long. Alexa completed 20% of the assignment, while Siri completed 30% of the problems. How many more questions did Siri complete?
the correct answer is 25
Answer:
The answer: 18-12=6
Step-by-step explanation:
Step 1:
Alex:
Part=Whole*Percentage
So just plug in the numbers
Part=60*0.20=12
Step 2:
Siri:
Part=Whole*Percentage
Part=60*0.30=18
Step 3:
18-12=6
What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
F. 19.6 cu in.
G. 98.1 cu in.
H. 24.5 cu in.
J. 39.3 cu in.
Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles
Answer:
Step-by-step explanation:
i need to see the diagram, to help you
Help please yalllllll
Answer:
27.3 mi2, the first option
Step-by-step explanation:
Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height
Length of the base is 9.1mi and height is 6mi.
So, the Area would be:-
[tex]\frac{1}{2}[/tex] x 9.1 x 6
[tex]\frac{1}{2}[/tex] x 54.6
[tex]\frac{54.6}{2}[/tex]
= 27.3 mi2
i will give Brainiest if you are right
Answer:
Option D is the correct answer
Hello there!!
The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.
I hope this helps!