given vectors u=(-2,3) and v=(-6,9) what is the measure of the angle between u and v?
a. 0
b. 86
c. 91
d. 180
Answer: 91
Step-by-step explanation:
Angle between the two vectors u and v is option (a) 0 degree
What is Vector?Vector, in mathematics, a quantity that has both magnitude and direction
Given,
u=(-2,3)
v=(-6,9)
Angle between the two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
[tex]u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39[/tex]
[tex]|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}[/tex]
[tex]|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}[/tex]
Angle between two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
θ=[tex]cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0[/tex]
Hence, the angle between the vectors u and v is 0 degree
Learn more about vector here
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A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion
Answer:
c) t-test of population mean
Explanation:
The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.
Example we compare our test variable to the hypothesized mean value $75 above.
The t test is used instead of z score when standard deviation is unknown.
Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.
how do you write 7/10 as a decimal Can someone please help me!!
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
there are 11 kids at a birthday party if there are six girls and five boys at the party which fraction of the kids are boys
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
Which of the following systems of inequalities has point D as a solution?
Answer:
The answer is A
Step-by-step explanation:
Convert the following equations from point-slope form to slope-intercept form.
9) y – 4 = 3(x – 1)
10) y – 1 = -4(x – (-3))
We need to solve both for y.
#9:
[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]
#10:
[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]
Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:
Answer:
slope: 0
y-intercept:(0,49)
Step-by-step explanation:
Hope this helps!
Answer:
SLOPE: 0
Y -INTERCEPT: 49
Step-by-step explanation:
y = -32 - 17 (collect like terms)
y = 49
The slope would be zero because it doesn't have an x-intercept.
The line would look like this..
49 -------------------------------------------- completely flat like the floor so zero slope.
HOPE THIS HELPS!1
Eli wanted to order candy online. Company A 2 1/2 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer: Company A is charging $13 per pound of chocolate
Step-by-step explanation:
32.5/2.5=13= 1 pound
Check:
13*2.5=$32.5
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
the number of feet that the top of the bridge was above the water versus the amount of minutes that the drawbridge
was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the
rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.
Answer:
Between 0 and 1 minute: 25
Between 1 and 2 minutes: 0
Between 2 and 4 minutes: -25
Step-by-step explanation:
Notice the changes in the table and how the line increases, stays constant, and decreases.
rewrite as as whole number 40/5
Answer:
8
Step-by-step explanation:
Just do 40 divided by 5.
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
Please help I don’t know how to do this
Answer:
x = 50°
Step-by-step explanation:
According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,
[tex]x = 15 + 35 = 50[/tex]
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return
Answer:
15x + 28y = 116
x + y = 6
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
Should’ve paid attention, anyone got an answer! Thank you
Answer:
4x^4Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
Answer:
4x^4
Step-by-step explanation:
Hope this helps and have a nice day :)
Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.
True or False: Two pounds of apples cost more than $3.
Answer:true
Step-by-step explanation:
how many solution does following equtitions have 7x+21=21
One solution.
[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]
If we can solve for the value of x. Then the solution would be one only for system of linear equations.
For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.
When the equation is false or rather say that both sides have different number or value then there won't be any solutions.
Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A
7/15 - 2/5
please can someone do a step by step? thank you
Answer:
1/15
Step-by-step explanation:
1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)
2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15
3.) Subtract the numerators to get your answers
4.) Final Answer: 1/15
PLZ HELP ME ITS 30 POINTS TROLLERS WILL BE REPORTED
Answer:
haha troll go brrr
Step-by-step explanation:
2,4,5 (actual answer)
2-angle MNP (38) is less than angle ONP (39)
4- they are equal by the reflexive property of congruence op
5-is MNP has a lower angle, side MP should have a longer side
At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Yes Or No
Answer:
Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
number of beverage purchased
savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
What is the value of the function y=2x−3 when x=−1?
−5
−1
2
3
Answer:
-5
Step-by-step explanation:
As, x = - 1
So 2(-1)-3 = - 2 - 3 = - 5
So y = - 5
IF YOU ANSWER THE QUESTION IN THE LINK OF BRAINLY i WILL DO AN ESSAY FOR YOU!!!!!!!!!!!!! PLEASE AN ALGEBRA QUESTION IN EXCHANGE FOR SOMETHING YOU WANT JUST PLEASE ANSWER!!!!
Here's the link check it out!!! IT WAS DUE A WEEKZZ AGOOO
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DONT ANSWER THIS QUESTION ONLY THE LINK!!
Answer:
Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
DUE ASAP AT 11!!!!!!!!1 -3x - 6x = 6 + x - 7x
A -2
B -12
C -3
D 11
Answer:
The correct answer is -2
Answer:
-2
Step-by-step explanation:
3x-6x=6+x-7x
=> -3x-x+7x=6
=> -4x+7x=6
=> 3x=6
=> x=6/3
=>x=2
Can you arrange 25 small squares to make a larger square? Can you arrange
35 small cubes to make a larger cube?
Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest
Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.