Answer:
30.40/3.2=9.5 so he pays $9.50 per ounce of steak
Step-by-step explanation:
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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En una tienda se anuncia la rebaja de 20% en todos sus artículos. Rafael elije una camisa y al llegar a la caja le informan que esa camisa, por traer etiqueta roja, cuenta con un descuento adicional del 15%. Si Rafael pago $510.00, ¿cual era él precio de la camisa sin los descuentos?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The 20% discount multiplies the price by (1 - 20%) = 0.80.
The 15% discount multiplies the price by (1 - 15%) = 0.85.
After applying the discounts to the initial price P, we have ...
P(0.80)(0.85) = $510
P = $510/(0.80·0.85) = $750
The price before discounts was $750.
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
Which expression is equivalent to 3V64a^6b^7c^9?
Answer:
24a³b³c⁴[tex]\sqrt{bc}[/tex]Step-by-step explanation:
Given
3[tex]\sqrt{64a^6b^7c^9}[/tex]Equivalent expression is
3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations
Answer:
d. is constructed by totaling a set of data and dividing that total by the number of observations
Step-by-step explanation:
Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.
A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm
Answer:
[tex]Area = 968000cm^2[/tex]
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
[tex]Length = 12.8m[/tex]
[tex]Breadth = 850cm[/tex]
For the bed, we have:
[tex]Length = 300cm[/tex]
[tex]Breadth = 400cm[/tex]
First, we calculate the surface area of the room.
[tex]A_1 = 12.8m * 850cm[/tex]
Convert all units to cm
[tex]A_1= 12.8*100cm * 850cm[/tex]
[tex]A_1= 1 088 000 cm^2[/tex]
Next, we calculate the area of the bed
[tex]A_2 = 300cm * 400cm[/tex]
[tex]A_2 = 120000cm^2[/tex]
The area of the space left is the difference between A1 and A2
[tex]Area = A_1 - A_2[/tex]
[tex]Area = 1088000cm^2 - 120000cm^2[/tex]
[tex]Area = 968000cm^2[/tex]
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation:
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
Find the slope of the line through each pair of points
(3, -20), (5, 8)
Answer:
Can you try turning the 5,8 into a ratio? thats all I can think of right now
Step-by-step explanation:
Compare -3.6 and 1.2.
Answer:
-3.6 is a negative number compared to 1.2. 1.2 is -3 times less than -3.6. -3.6 is -3 times more than 1.2
Step-by-step explanation:
(can I get brainliest)
Answer:
they are both number with a decimal in it
Step-by-step explanation:
Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3
B
5y + 1
C
5y + 3
D
9y + 3
Answer:
C
5y + 3
Step-by-step explanation:
Use compatible numbers to estimate the quotient.
522 divided by 6 please help!!!
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_1 = n_2 = n = 250[/tex]
The sample mean for USA is [tex]\= x_1 = 391 \ minutes[/tex]
The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]
The sample standard deviation for USA is [tex]s_1 = 25 \ minutes[/tex]
The sample standard deviation for Mexico is [tex]s_2 = 49 \ minutes[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]
=> [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]
=> [tex]z = -10[/tex]
From the z table the area under the normal curve to the left corresponding to -10 is
[tex]p-value = P(Z < -10 ) = 0.00[/tex]
Generally from the value obtained we see that
The p-value is < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].
The hypothesis are as follows:
Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]
Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]
Now, the mathematical representation of test statistics is:
[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]
[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
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Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
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HELPPPP!!!!!
my testt
Answer:
$8.50
Step-by-step explanation:
ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.
your answer is $8.50
hope this helps!
Answer:i know this is no help now but plz give my sister brainliest for what she did last year.
Step-by-step explanation:
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
Work out the problem -5-8
-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
HELPPPPPPPPPP plssss
Answer:
Yes
Step-by-step explanation:
If you draw a vertical line through it, no x value has more than one y values.
Write an equation to describe this situation using decimals. “Tessa bought x pounds of almonds. Lark (y) bought more than that”. PLEASE HELP!
Answer:
y = 1.6x
Step-by-step explanation:
y is the total amount/pounds of almonds that Lark bought. x is the amount that Tessa bought. 3/5 is the same as 0.6. If we multiplied Tessa's amount by 0.6 it would decrease by 2/5 so we have to add 1 to make it 1.6. To find how much Lark bought multiply 1.6 and Tessa's amount.
Answer:
how many 35 (x) did molly purchase, for 5 (y) weeks.
Step-by-step explanation:
I chose this because each number represents a different volume , it also makes a good answer, comment or repsond if i am wrong.
WILL GIVE BRAINLIEST!!
What is the value of 1/60?
Answer:
1/6
Step-by-step explanation:
Answer:
C. 1
Step-by-step explanation:
The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?
Answer:
There are 48 male employees.
Step-by-step explanation:
144 divided by 3 = 48
48 x 1 = 48
Therefore there are 48 male employees.
Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)
Answer:
This is not a function
Step-by-step explanation:
Hope this helps
An airplane on autopilot took 9 hours to travel 6399 kilometers. What is the unit rate for kilometers per hour?
Answer:
6399/9=711 The answer to this question is 711.
My sister is 12 years old. My brother says that his age minus twelve is equal to my sister's age. How old is my brother?
Enter an equation, using as your variable, to find how old my brother is.
The equation is
x-12=12
x=24
your brother is 24 years old