Answer:
a · b = 28 units
Step-by-step explanation:
Given vectors
a = (-5, 1/2)
b = (-5, 6)
The scalar or dot product of the two vectors, given by a · b is
a · b = (-5, 1/2) · (-5, 6)
To solve this, multiply the first term in a with the first term in b and add the result to the product of the second term in a and the second term in b. i.e
a · b = (-5 x -5) + (1/2 x 6)
a · b = 25 + 3
a · b = 28
Therefore, the dot product of a and b is
a · b = 28 units
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g circle f) (x)?
Answer:
Domain of a function means the set of values of the variable for which the given function exists.
(g circle f) (x) means g{f(x)}.
g{f(x)} will exists for all the real values of x except x = 7 and that particular x for which f(x) = -3.
Hence the domain of g{f(x)} will be all real values except x = 7 and the x for which f(x) = -3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Write the equation of a line in slope intercept form that passes through (2,4) and (-7,8)
Answer:
y = -4/9x + 44/9
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/( -7-2)
= 4/-9
= -4/9
The slope intercept form is
y = mx+b
y = -4/9 x+b
Substitute a point into the equation
4 = -4/9 * 2 +b
4 = -8/9+b
36/9 = -8/9 +b
Add 8/9 to each side
36/9 + 8/9 = -8/9 + 8/9 +b
44/9 = b
y = -4/9x + 44/9
-11 = v/8 - 9 Help me solve please
Answer:
v= -16
Step-by-step explanation:
-11 = v/8 - 9
-11=v-72/8
-11*8=v-72
-88=v-72
-88+72=v
v=-16
Please answer!!!!!
Answer:
[tex]2 \sqrt{13} [/tex]
Brainliest is gained through the correct answer, that's explained. At 86 km/h, how far can you travel in 8 h? Use unit analysis to check your answer.
Glad I can help!!!
Answer:
688
Step-by-step explanation:
Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.
If satisfied leave a review to let me know how I did and feel free to give brainiest.
Answer:
688 kilometers.
Step-by-step explanation:
im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)
Can some one solve it for me please
Answer:
C
Step-by-step explanation:
Let the age of the older girl be y and the age of the younger girl be x.
The sum of their ages is 27.
x + y = 27
The older girl is 6 years older than twice the age of the younger girl.
twice the age of younger girl = 2x
y = 6 + 2x
Suppose T(n) = n(n +1)/2. Find T(10).
a
45
b
45/2
c
55/2
d
55
Answer:
D. 55
Step-by-step explanation:
[tex]T(n) = \frac{n(n +1)}{2} \\ \\ T(10) = \frac{10(10 +1)}{2} \\ \\T(10) = \frac{10\times 11}{2} \\ \\T(10) = 5 \times 11 \\ \\ \huge \red{ \boxed{T(10) = 55}}[/tex]
How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160.d. 40, 320.
Answer:
C. 20,160Step-by-step explanation:
This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.
nPr = n!/(n-r)!
Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.
8P6 = 8!/(8-6)!
8P6 = 8!/2!
8P6 = 8*7*6*5*4*3*2!/2!
8P6 = 8*7*6*5*4*3
8P6 = 56*360
8P6 = 20,160
Hence this can be done in 20,160 number of ways
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
The value of y varies directly with x. If x = 7, then y = 84 . What is the value of x when y = 60 ?
Answer:
if y=60 then x=5
Step-by-step explanation:
im in college Algebra if you need help just ask
Laney walks 2 1/3 miles to school from her house and rides the bus home. If she walked five days
last week, how many total miles did Laney walk?
Answer:
The answer is 35/3. I hope it helps you....
Answer:
[tex]\frac{35}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] × [tex]\frac{5}{1}[/tex] = [tex]\frac{7}{3}[/tex] × [tex]\frac{5}{1}[/tex] [tex]\frac{7}{3}[/tex] × [tex]\frac{5}{1} = \frac{35}{3}[/tex]I hope this helps!
3xy(5x2 + 2xy + 3y2)
Multiply this
How would you answer this question?
Answer: Choice B
If you lower your rates by 6% you will increase the number of occupancies by 12%
========================================================
Explanation:
Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}[/tex]
If the price drops 6% leads to a 12% increase in demand, then we get this elasticity
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\[/tex]
The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.
-------------
Side notes:
Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand. Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.You make $38,000 per year. You have been offered a promotion and a $5,000 raise per year. Your average federal income tax rate will go up from 12% to 16% per year. Should you take the new job and the raise? how many weeks are in a year
Answer: yes
Step-by-step explanation:
I roll a number cube twice. What is the probability of rolling a 3 twice?
Glad I can help!!!
1/36
If satisfied give brainiest please :D
Solve the equation for
X-7=13
Answer:
x = 20
Step-by-step explanation:
Isolate x by adding 7 to both sides:
x = 20
Simplify the expression: –7(5 − u)
Answer:
-7(5-u)
Step-by-step explanation:
-7(5-u)
-7x5 -7x-u
-35+7u
Answer:
-35+ 7u
Step-by-step explanation:
Distribution Property
distribute the first time by the 2 terms in the parenthesis
-7×5 and -7u
-35 - (-7u)
-35+ 7u
What is 42,934 - 32,960
Answer:
42 , 902 , 960
Step-by-step explanation:
Subtract 32 from 934
A lorry travels 30 kilometers per ahour. if it takes 45 minutes to reach a certain journey how long is the journal?
Answer:
his journey was 22.5 kilometers long.
Step-by-step explanation:
Answer:
Step-by-step explanation:
distance = speed x time
? = 30 x 45
distance = 1350
someone please give me all the answers!
Answer:
Step-by-step explanation:
1.=71
2.=25
3.=28
4.=15 (is the sybmbol at the end is division it is 8)
5.=68/17
6.=48/9
7.=96 (if the symbol at the end is division it is 106)
8.=30
Translate and solve: −5 times b is no less than −35.
Answer:
(- ∞, 7] GIVE BRAINLIEST PLZ
Step-by-step explanation:
The equation from that word -5b > -35
Solve that and you get (- ∞, 7]
Which statement is the most precise and correct definition of parallel lines?
Two lines are parallel if they do not intersect.
Two lines are parallel if they are on the same plane.
Two lines are parallel if they intersect at a right angle.
Two lines are parallel if they are at a constant distance apart.
Also does anyone have the Final exam answers for primavera geometry 1a?
Answer: Two lines are parallel if they are at a constant distance apart
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I need help with questions 41
-3(1 + p) = 8p - 36
SOLVe for p
Answer:
Step-by-step explanation:
-3(1+p)=8p-36
-3-3p=8p-36
+36 +3p | +3p +36
Simplifies to
33=11p
divide both side by 11
3=p thus p=3
Answer and I will give you brainiliest
Answer: You can buy 5 shirts if you buy 2 pair of pants.
Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol
Answer:
Step-by-step explanation:
Why are you so mean to me
A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.34 per box, and felt-tip pens cost $3.41. If the man's order of pens totaled $83.08, how many boxes of each type of pen did he buy?
The heights of tomato plants are Normally distributed with About % of tomato plants have a height
a mean of 3.56 feet and a standard deviation of 0.25 feet.
between 2.98 feet and 3.48 feet. Round the percent to 2
About what percent of tomato plants have a height decimal places, if necessary
between 2.98 feet and 3.48 feet?
Use the z-table to answer the question.
Answer:
36.43
Step-by-step explanation:
In normal distribution(z) tomato plants have a height of less than 2.58 feet is 1.017%.
What is a normal distribution?The normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plant that has a height of 2.98 feet
In order to find the Percentage of tomato plantof s have a height less than 2.98 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
( 2.98 - 3.56 ) / 0.25 =-0.58 / 0.25 = -2.32.
P ( x < 2.58 ) = P( z < -2.32 )
= 0.01017( Using standard Normal distribution table)
Find the percentage of tomato plants with have a height of fewer than 2.58 feet is
Multiply 0.01017 by 100
= 0.01017 x 100 %
= 1.017%
Hence, using Standard Normal distribution we find tomato plants have heights less than 2.58 feet is 1.017%
To learn more about Normal distribution here
brainly.com/question/11893722
#SPJ2
12y = 24х
6x = 3y +5
Answer:
24x-12y=0
6x-3y-5=0
a1/b1 = 4
a2/b2 =4
a1/b1 = b1/b2 ≠ c1/c2
∴ The pair of linear equations in two variables is said to be inconsistent and do not have any solution.
Use the number line to plot the numbers. Then arrange them in order from smallest (1) to largest (4). V0.2 V0.4
Answer:V0.2=3. V0.4=4. 0.2=1. 0.4=2
Step-by-step explanation:
Answer:
3
4
1
2
Step-by-step explanation:
Find the distance between A (-2, 4) and B (-6, -7). Leave your answer in exact (radical) form
Answer:
The answer is
[tex]\sqrt{137} \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (-2, 4) and B (-6, -7).
The distance between them is
[tex]d = \sqrt{ ({ - 2 + 6})^{2} + ({4 + 7})^{2} } \\ = \sqrt{ {4}^{2} + {11}^{2} } \\ = \sqrt{16 + 121} \\ = \sqrt{137} \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{137} \: \: \: \: units[/tex]
Hope this helps you
