Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x,y)= ln(2 +3x^2 +3y^2); P(1,-2); (3,1)
Answer:
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
Step-by-step explanation:
The directional derivative at point (x,y) is given by:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
In which a is the x component of the unit vector and b is the y component of the unit vector.
Vector:
We are given the following vector: [tex]v = (3,1)[/tex]
Its modulus is given by: [tex]\sqrt{3^2 + 1^2} = \sqrt{10}[/tex]
The unit vector is given by each component divided by it's modulus. So
[tex]v_u = (\frac{3}{\sqrt{10}}, \frac{1}{\sqrt{10}})[/tex]
This means that [tex]a = \frac{3}{\sqrt{10}}, b = \frac{1}{\sqrt{10}}[/tex]
Partial derivatives:
[tex]f(x,y) = \ln{(2 + 3x^2 + 3y^2)}[/tex]
So
[tex]f_x(x,y) = \frac{6x}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_x(1,-2) = \frac{6(1)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = \frac{6}{\ln{17}}[/tex]
[tex]f_y(x,y) = \frac{6y}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_y(1,-2) = \frac{6(-2)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = -\frac{12}{\ln{17}}[/tex]
Directional derivative:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}}\times\frac{3}{\sqrt{10}}-\frac{12}{\ln{17}}\times\frac{1}{\sqrt{10}}[/tex]
[tex]D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
How many edges does this shape have?
12
10
Answer:
12
Step-by-step explanation:
Write an algebraic expression to represent: three times a number minus seven.
Answer:
3•x-7
Step-by-step explanation:
I hope that helps!
The graphed line shown below is Y = 5x-10
CTS
5
2
Which equation, when graphed with the given equation, will form a system that has no solution?
y=-5X+ 10
O y = 5(x+2)
Hope it will help you
Answer:
B. Y=5(X+2)
Step-by-step explanation:
If you look at the other persons graph is specifically says that.
hi very urgent plz show work u will get 15 points if u answer correct
Answer:
180
Step-by-step explanation:
Solve for x.
Please!!!!!! Hurry
Answer:
i believe X is 4
hope that helps
Step-by-step explanation:
115.6, 114.52 , 15.305, 114.483 from greatest to least
Answer:
115.6, 114.52, 114.483, 15.305
Step-by-step explanation:
Answer:
115•6 114•483 114•52 15•305
A submarine dives 750 feet every 5 minutes and 4,500 feet every 30 minutes. Find the constant rate at which the submarine dives. Enter your answer in feet per minute and feet per hour. The submarine dives feet per minute. The submarine dives feet per hour.
Answer:
150 feet per minute
Answer: d
Step-by-step explanation: i know it
Which equation describes the function represented by the table?
y = x - (-11)
y = 4x + 6
y = -7x - 5
y = -3x + 9
Answer:
[tex]\displaystyle y=-7x-5[/tex]
Step-by-step explanation:
Equation of the Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We'll take the first two points (-2,9) and (-1,2)
[tex]\displaystyle y-9=\frac{2-9}{-1+2}(x+2)[/tex]
Operating:
[tex]\displaystyle y-9=\frac{-7}{1}(x+2)[/tex]
[tex]\displaystyle y-9=-7(x+2)[/tex]
[tex]\displaystyle y-9=-7x-14[/tex]
Adding 9:
[tex]\boxed{\displaystyle y=-7x-5}[/tex]
Substituting the last two points we can verify they also belong to the line.
Last year Ben earned $22,500. He expects his earning to be 23% greater this
year than last year. What did Ben expect to earn this year?
Answer:
Ben expected to earn $27,675 this year.
Step-by-step explanation:
First, to be able to determine the difference between this year and last year, you would multiply $22,500 by 0.23 (or, 23% in decimal form).
When you do that, the answer comes out to 5,175.
So then, you add $22,500 and $5,175 in order to get the value that he expected to earn this year. That comes out to $27,675, which is your final answer.
PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple more points
Answer:
can you resend the question it has no photo, LOL
Step-by-step explanation:
help very easy ill give you brainiest
Answer:
Step-by-step explanation:
10/3
18/5
6/4 or 3/2 or 1 1/2
18/20 or 9/10
9/16
Subtract.
(11x2 + 3x – 9) - (2x2 + 2x + 7)
Answer:
21x
Step-by-step explanation:
11 x 2= 22
22 + 3x =25x
25 - 9x = 16x
16x - 4 = 12x
12x + 2 + 7 =21x
BUT- IF YOUR LOOKING FOR N INQUAILTY HERE..
ANSWER: 9ײ + x - 16
steps:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(((11•(x2))+3x)-9)-((2x2+2x)+7)
((11x2 + 3x) - 9) - (2x2 + 2x + 7)
3.1 Factoring 9x2+x-16
The first term is, 9x2 its coefficient is 9 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -16
IF its not right sorry
Answer:
9x^2+x−16
Step-by-step explanation:
I got it right on TTM/Imagine Math
PLZ PLZZZZ HELP ASAP!!!!!
Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)
9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
Why do non STEM majors detest taking algebraic courses at the collegiate level?
Answer:
Because they find it hard to pass in the past.
Step-by-step explanation:
Non-STEM majors detest taking algebraic courses at the collegiate level because based on their past experiences in high school, whereby they probably do not excel in algebra, numbers, or mathematical subjects in general, the thought of going through advanced numbers and equations can be overwhelming.
Nobody wants to have or at least start college with poor grades. Hence, because non-STEM students find algebraic courses hard to pass in the past, they detest taking the course that has to do with it at the college level.
Mariah exercises 2,328 minutes a month. She exercised 4 times longer than Miguel exercised last month. How many minutes did Miguel spend exercising last month?
Answer:
maria is fat
Step-by-step
The product of two complex numbers is (always,
sometimes, never] a complex number
The product of two complex numbers is SOMETIMES a complex number.
this is because you can add 2 complex numbers and get a whole number, which is not a complex number. However, you can add 2 complex numbers and sometimes get another complex number.
May I have brainliest please? :)
A sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel level of this
second sound?
Answer:
The decibel level of this second sound is 48.021 decibels.
Step-by-step explanation:
The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)
Where:
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:
[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]
[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
The real sound intensity of the second sound is four times greater, that is:
[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]
[tex]B_{dB} = 48.021\,dB[/tex]
The decibel level of this second sound is 48.021 decibels.
A person came to work at 8:30 am, went out at 11:45 am, had lunch, came in at 12:30 pm, and left at 5:15 pm. How many hours did this person work?
Answer:
8 hours
Step-by-step explanation:
A person came to work by 8:30 am
He went out to lunch 11:45 am and came back 12:30 pm
He closed 5:15 pm
Therefore the total hours worked that day can be calculated as follows
Time worked from 8:30 am to 11:45 am is 3 hours 15 mins
Time worked for 12:30 pm to 5:15 pm is 4 hours 45 mins
3 hours 15 mins + 4 hours 45 mins
= 8 hours
Hence the total hours worked that day is 8 hours
The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
We should reject H₀ for values of | x₁| > 5,26 |x₁| > 6,12
Step-by-step explanation:
Sample mean μ₀ = 5,7
Sample size n₁ = 24
Sample standard deviation s = 1
Significance level α = 0,05 CI = 95 %
Hypothesis criteria: Valves don´t meet the specification, which means pressure could be higher or lower than nominal
Normal Distribution where n < 30 we should use a two-tail t-student test
degree of freedom df = 24 - 1 = 23
And with df = 23 and α = 0,025 we find in t-tables the value for
t(c) = - 2,0687 ( on the left tail )
Test Hypothesis:
Null Hypothesis H₀ x = μ₀
Alternative Hypothesis Hₐ x ≠ μ₀
To compute t(s)
t(s) = ( x - μ₀ ) / s/√n
t(s) = ( x - 5,7 )*4,80
t(s) = 4,80*x - 27,34
Then for values of t(s) |t(s)| > 2,0687 we have to reject H₀
If we make t(s) = t(c) we find
-2,0687 = 4,8*x - 27,34
x = ( 27,34 - 2,07 ) / 4,8 and on the other tail x = 6,12
x = 5,26
Therefore for values of 5,26 ( under ) and above 6,12 we shoud reject the Null hypothesis
Candice made a scale drawing of an Italian restaurant. She used the scale
7 millimeters = 5 meters. What is the scale factor of the drawing?
Answer:4
Step-by-step explanation:
Answer:
its actually 5:36
Step-by-step explanation:
A woman's closet has eight shirts, five shorts and six pairs of pants. How many different outfits does she have
to wear?
Answer:
270 Different Combo's
Step-by-step explanation:
Answer:
20*4=80 + 20 = 100
Step-by-step explanation:
I can wear five different shirts, for each shirt, I can have any of four different pants.
That’s 5*4=20 outfits.
But I can wear two shirts, I often do. For each of five shirts worn underneath, there are four shirts I can wear over that, so there are twenty shirt pairings, and again, four different pants to wear with each pair, that’s 20*4=80 + 20 = 100
Please help meee!!! 11 points
A container holds 23 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
You would ____
to solve this problem.
Each runner will get _____
gallon of apple juice.
fill in the blank
Answer:5.75
Step-by-step explanation:
Students in Grade 5 are divided into 6 equal sections. There are 29 students in
each section. How many students are in Grade 5?
Answer:
174
Step-by-step explanation:
Number of section = 6
Number of students in each sections = 29
Nøw
Total students in Grade 5 is
= 6 * 29
= 174
Hope it will help you :)
Answer:
174
Step-by-step explanation:
[tex]29 \times 5[/tex]
which is 174
help me pleasee!! thanks!
Answer:
the answer is 52/100 :)
Answer:
52/100
Step-by-step explanation:
Given the following data, find the weight that represents the 22nd percentile. Weights of Newborn Babies 7.87.95.85.85.7 5.66.98.77.97.8 7.56.77.58.85.7
Answer:
Step-by-step explanation:
Given the data: 7.8 7.9 5.8 5.8 5.7 5.6 6.9 8.7 7.9 7.8 7.5 6.7 7.5 8.8 5.7
Rearranged data: 5.6, 5.7, 5.7, 5.8, 5.8, 6.7, 6.9, 7.5, 7.5, 7.8, 7.8, 7.9, 7.9, 8.7, 8.8
The 22nd percentile :
Percentile (i) = (P / 100) * n
Where i = rank, n = Same size ; P = pw cwntile.
P = 22 ; n = 15
i = (22/100) * 15
i = 3.3 rd
The 22nd percentile is equivalent to 4th data in the ordered set = 5.
Which expression belongs in the box?
(3 x 8) x 4= 3 x ()
8 +4
8 +3
8 X 4
8 x 3
Don
Answer:
The expression that belongs in the box is 8 x 4
Option C is correct answer.
Step-by-step explanation:
We need to find Which expression belongs in the box?
[tex](3 \times 8) \times 4= 3 \times (------)[/tex]
The property applied here is associative property of multiplication.
Associative property of multiplication states that:
[tex](a \times b)\times c = a \times (b \times c)[/tex]
So, if we apply the property to our question we have:
a = 3
b = 8
c = 4
So, the expression will become: [tex](3 \times 8) \times 4= 3 \times (8 \times 4)[/tex]
So, the expression that belongs in the box is 8 x 4
Option C is correct answer.
Keisha is having a birthday party. Her mom gave her $30 to purchase items for the party. She brought 16 party hats and 16 bags. Each party hat cost $0.70 each and each bad cost $0.35 each. How much money did Keisha have left after these purchases
A bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet.
Hey sandbox has a volume of 16 cubic feet.
Approximately how many pounds of sand will it take to fill the sandbox
Answer:
32 bags
Step-by-step explanation:
0.5 × 16 = 32
hope it helps
