Help please I’ll give brainliest!
Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
Answer:
[tex]\theta = 108.29[/tex]
Step-by-step explanation:
Given
[tex]u = <2,6>[/tex]
[tex]v = <4,-7>[/tex]
Required:
Calculate the angle between u and v
The angle [tex]\theta[/tex] is calculated as thus:
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]A = a * b[/tex]
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex] becomes
[tex]cos\theta = \frac{<2,6>.<4,-7>}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{2*6+4*-7}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{12-28}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]|A| = \sqrt{a^2 + b^2}[/tex]
So;
[tex]|u| = \sqrt{2^2 + 6^2}[/tex]
[tex]|u| = \sqrt{4 + 36}[/tex]
[tex]|u| = \sqrt{40}[/tex]
[tex]|v| = \sqrt{4^2+(-7)^2}[/tex]
[tex]|v| = \sqrt{16+49}[/tex]
[tex]|v| = \sqrt{65}[/tex]
So:
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{2600}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{100*26}}[/tex]
[tex]cos\theta = \frac{-16}{10\sqrt{26}}[/tex]
[tex]cos\theta = \frac{-8}{5\sqrt{26}}[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{5 * 5.0990})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{25.495})[/tex]
[tex]\theta = cos^{-1}(-0.31378701706)[/tex]
[tex]\theta = 108.288386087[/tex]
[tex]\theta = 108.29[/tex] (approximated)
pls help me on this
Answer:
A. $3
Step-by-step explanation:
20 × 15% =
20 × 15/100 =
20 × 3/20 = 60/20 = 3
Answer:
$23
Step-by-step explanation:
15% of 20 = 3Original price + tip = total cost$20 + $3 = total cost$20 + $3 = $23I hope this helps!
Which of the following situations can be represented by the expression 7 + 12x ? Select two that apply.
Answer:
theres no situations or answers.
Step-by-step explanation:
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *
Answer:
Y=300
X= 4
M= 49x9=4
3x4=3
Step-by-step explanation:
Find the midpoint of points A(-3,7) and B(-6,0) graphically.
Answer:
satingin ko po at B I not sure
Step-by-step explanation:
i hope it help
1/2x + 4=9
What does x equal?
Answer:
x=10
Step-by-step explanation:
1/2x+4=9
subtract 4 from both sides
1/2x=5
multiply both sides by 2 to get x by itself
x=10
Answer:
1/2x+4=9 is x=1/10
Step-by-step explanation:
theres no explanation
Julia has dozen of eggs. She wants to use the eggs to bake cakes and cookies for the school fair.
The cake recipe uses dozen eggs, and each batch of cookies requires dozen eggs. Which
combination of cakes and cookies can Julia bake to use all of the eggs?
Answer: you could make a half batch of each of them
Step-by-step explanation:
Answer:
Step-by-step explanation:
thats a lot of eggs
Which of the following is an existential quantifier?
A)few
B)none
C)every
D)all
Answer:
A
Step-by-step explanation:
A is probably the best one!
Conjecture: Any negative number cubed is what?
Answer:
Also a negative number
Step-by-step explanation:
negative times negative is equal to positive, positive times negative is equal to negative
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
What is complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
If x is a real number,
-x is a negative real number,
(-x)³=-(x³)
e.g.(-3)³=-(3³)= -27
(-½)³=-(½)³= -(1/8)
The cube of a negative number can be calculated in the same way as you calculate for the positive number.
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
Learn more about complex number
https://brainly.com/question/19007885
#SPJ2
Can someone please help me out with this question I really need help with this
Answer:
all real numbers for both
Step-by-step explanation:
F(x)=(x-2)(x-6) Find the x-intercepts
What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
One week a student exercised 3 hours at school and another 2/3 of an hour at home. If 1/6 of the student’s total exercise came from soccer, how much time did the student spend playing soccer that week?
Answer:
36m 40s
Step-by-step explanation:
To find out how much time was spent on playing soccer, we need to find out the total number of hours spent on exercising.
Total amount of time for exercise = 3h + [tex]\frac{2}{3}[/tex]h
= [tex]\frac{11}{3}[/tex]h
Total amount of time for soccer = [tex]\frac{1}{6}[/tex] × [tex]\frac{11}{3}[/tex]h
= [tex]\frac{11}{18}[/tex]h
= 36m 40s
1. A random sample of 200 items yields 35 that are non-conforming. Find the 90% confidence interval for the true population proportion non-conforming.
Answer:
(0.131) , (0.044)
Step-by-step explanation:
Given:
Total sample n = 200
Yield x = 35
Confidence level = 90%
Find:
Proportion non-conforming
Computation:
Proportion p = x / n
Proportion p = 35 / 200 = 0.175
Non Proportion q = 1 - p
Non Proportion q = 0.825
So,
z value of 90% is 1.64
So,
Proportion non-conforming
p ± [z√pq/n]
0.175 ± [1.64√(0.175)(0.825)/200
(0.131) , (0.044)
Step-by-step explanation:
what should she do do next yo find √42 to the nerest hundredth
The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS
Answer:
x ≤ 12.83
(Any number under or equal to 12.8333...)
Step-by-step explanation:
154 ≥ 12x
12.833.... ≥ x
x ≤ 12.83
the length of a rectangle is 8 centimeters. what is the width?
Answer:
This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.
A submarine is traveling at a constant speed below sea level . The equation y = -50x-75 can be used to represent this situation where y is the location of the submarine below sea level in feet and x is the number if hours the submarine has been traveling . Which states best describes the location of the submarine given this equation
Answer:
From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D
Step-by-step explanation:
Used an Calculator
I hope this helps
Answer:
D
Step-by-step explanation:
the reason why it's D, is because i did the test bro and it had a green check which means it's right.
your welcome.
which ratio forms a proportion with 7/14
Answer:
7 : 14, or simplified, 1 : 2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
divide by 7 to
If an input of -9 is put into each of the machines below, what is each output?
b. Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
Function A
Function B
If an input of -9 is given to machine having Function A, then output will be 84 and if it is given to machine having Function B, then the output will be 3i-2.
The machine having Function A is given by y = x² + 3 and the machine having Function B is given by y = (√x) - 2.
Here, input will be the value of x and output will be the value of y as x id the independent variable and y is the dependent variable. If we put x = -9 in both the machines, then;
The output by machine A will be given by
y = (-9)² + 3
y = 81 + 3
=> y = 84
The output by machine B will be given by
y = (√-9) - 2
y = 3(√-1) - 2
=> y = 3i - 2.
Now, if Eric wants to get an output zero, he can get it by using machine B as Function A has square and addition both so any negative number will also give a positive result and the result will never be zero. But in Function B the result zero can be obtained by giving the input as 4 that is x = 4. The output will be given by:
y = (√4) - 2
y = 2 - 2
=>y = 0.
Learn more about Function at:
brainly.com/question/10439235
#SPJ9
HELP ASAP ILL GIVE BRAINLIST
What is
22x22x22x22x22x22 as a power?
Answer:
22^6
Step-by-step explanation:
Answer:22^6
Step-by-step explanation:
because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth
Matt invested $300 into an account that had an annual interest
rate of 3.8% compounded monthly for 5 years. Chris invested
$350 into an account that had an annual interest rate of 3.5%
compounded continuously for 5 years. Determine which models
could be used to determine how much money would be in each
account after 5 years.
The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
Matt put $300 into a five-year account with a 3.8% annual interest rate compounded on a monthly basis. Then the amount after 5 years will be
[tex]\rm A = 300\left (1 + \dfrac{0.038}{12} \right ) ^{12 \times 5}[/tex]
Simplify the equation, then we have
A = 300 x 1.2089
A = $362.66
Chris put $350 into a savings account with a 5-year compounded yearly return rate of 3.5 percent.
A = 350 (1 + 0.035)⁵
Simplify the equation, then we have
A = 350 x 1.1877
A = $415.69
The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ1
Which of the following is equal to the expression below?
(6^-8)^4
(A) -6^4
(B) -6^32
(C) 1/6^32
(D) 1/6^4
Answer:
choice c
Step-by-step explanation:
THERE ARE 3 MORE PICTURES ATTACHED SO ANSWER THEM ALL, IT'S ONLY 7 QUESTIONS. NO EXPLANATION NEEDED. BRAINLIEST WILL BE AWARDED.
Answer:
1 . A
2.C
3. D
4. B
5.A
6.C
7. B
Step-by-step explanation:
Lila added three-fourths of a bag of soil to her garden. Her neighbor
Fiona added two-thirds bags of soil to her garden. How much more soil
did Lila add than Fiona?
Answer:
lila added 1/12 more than fiona
Step-by-step explanation:
find GCF (12), multiply amounts added accordingly
lila added 9/12 (multiply 3/4 by 3)
fiona added 2/3 (multiply 2/3 by 4)
A digital clock shows hours and minutes. How many times between one minute after midnight and one minute before midnight does the clock show the same when it is read forwards or backwards (for example : 15:51)
Answer:
60 seconds make 1 minute,60 minute make 1 hours.
2. (08.03) A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam? (2 points) 80% 12% 30% 48%
Only 80% students passed the second exam and also passed the first exam .
Conditional probability is used to find the probability of an event A given that event B has already occurred.
It is denoted by P(A/B)=P(A∩B)/P(B) .
In the given question
Let A be the event for students passed in first exam.
Let B be the event for students passed in second exam.
Given
Only 48% passed in both the exam that means
P(A∩B)=48%=0.48 ...(i)
and
60% students passed the second exam , that is
P(B)=60%=0.60 ...(ii)
To find the probability of students passed in second exam given that they passed in first exam , conditional probability is used that is P(A/B), denoted by
P(A/B)=P(A∩B)/P(B)
Substituting the values from equation (i) and (ii) we get
P(A/B) = 0.48/0.60
=48/60
Converting 48/60 to percent
=48/60*100
=80%
Therefore , Only 80% students passed the second exam and also passed the first exam , the correct option is 80%.
Learn more about Conditional Probability here
https://brainly.com/question/11899923
#SPJ1
I WILL MARK BRAINIEST PLEASE ANSWER !! A publishing house recently released two novels. Both novels are available in paperback or as an e-book. This table shows the number of copies of each sold on the first day. Analyze this data and arrange the percentages relating to the data in order of their values from least to greatest.
Answer:
:4,3,5,8,7,6,1,2
Step-by-step explanation:
this is right give me brainlist
When this data is analyzed and arranged, here is the order of the values from least to greatest:
The percentage of copies of book B sold that are e-book.The percentage of copies of book A sold that are e-book.The percentage of paperback sold that are copies of book A.The percentage of e-book sold that are copies of book B.The percentage of e-books sold that are copies of book A.The percentage of paperbacks sold that are copies of book B.The percentage of copies of book A sold that are paperbacks.The percentage of copies of book B sold that are paperbacks.What is percentage?Percentage refers to the measure made per hundred. In mathematics, percentage actually refers to a ratio that is expressed as a fraction of 100.
We see the above arrangement as related to the data which is arranged in order of their values from least to greatest.
Learn more about percentage on https://brainly.com/question/24877689
#SPJ2
ken and Marcy plan to have their kitchen remodeled at a cost of $6,000. the carpenter suggests they pay $600 down,followed by 18 monthly payments of $325. what is the finance charge for this payment schedule
The finance charge for this payment schedule is $450 if Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.
What are monthly expenses?It is defined as the expenses incurred by a single entity on a monthly basis, it consists of basic utilities, food, etc.
We have;
Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.
The carpenter suggests they pay $600 down, followed by 18 monthly payments of $325.
The finance charge = 600 + 325×18 - 6000
= 600 + 5850 - 6000
= 6450 - 6000
= $450
Thus, the finance charge for this payment schedule is $450 if Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.
Learn more about the monthly expenses here:
brainly.com/question/26383826
#SPJ2