Answer:
y = -1/3 x + 7
Step-by-step explanation:
The constant in the end doesn't matter; what matters is the slope. To find a perpendicular slope, all you have to do is take the reciprocal of the slope and multiply it by -1. As mentioned before, the constant in the end doesn't matter, so the answer could also be y = -1/3x + 10, y = -1/3x -1/2, etc...
Hope this helped.
a person can read 24 pages of a book in 1/3 of an hour what is the persons reading rate in pages per hour
Answer:
72.73 pages in one hour
or 72.73/hr
Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
Answer and Step-by-step explanation:
SOLUTION:
Given function:
h (x, y, z) = ln (x2 + y2 – 1) + y +6z, p0(1, 1, 0)
Derivatives of the function:
∂h / ∂x = (1 / x2 + y2 -1). (2x)
= 2x / x2 + y2 -1
∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)
= (2y / x2 + y2 -1) + 1
∂h / ∂z = 6
Now compute the partial derivatives:
∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1
= 2
∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1
= 3
∂h (1, 1, 0) / ∂z = 6
Δh (1,1,0) = ( 2, 3, 6)
The definition of gradient is:
Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)
Put the coordinate values to arrive at solution:
Umax = Δh (1,1,0) / | Δh (1,1,0) |
= (2, 3, 6) / |2, 3, 6|
= (2, 3, 6) / √(22+33+62)
= (2, 3, 6) / √49
= (2, 3, 6) / 7
= (2/7 , 3/7, 6/7)
Umin = - U max = ( -2/7, -3/7, -6/7)
Compute direction by finding unit vector:
Du h max = Δh (1,1,0) . u max
= (2, 3, 6) . (2/7, 3/7, 6/7)
= 2(2/7) + 3(3/7) + 6(6/7)
= 4/7 + 9/7 +36/ 7
= 49 / 7
= 7
Du h min = -Du h max
= -7
What is the slope of the line that passes through points (-3,5) and (11,5)
Answer:
slope = -3/14
Step-by-step explanation:
y1 - y2 / x1 - x2
They gave you one value, two total coordinates
5-5 = 1
-3 - 11
-14
1/-14
y=1/-14 + b
11= 1/-14(-3) + b
11 = -3/14 + b
17 + 14
b = 15 3/14
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
Solve the math problem. Make sure your answer has the correct number of significant figures.
10.9 - 8.264
Answer:
2.636
Step-by-step explanation:
10.900-08.264
What is the equation of this line?
y=1/2x - 3
y=-1/2x-3
y= -2x - 3
y= 2x - 3
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
Identify if the given sequence is an arithmetic sequence or not. Explain your
answer.
a.) 2, 8, 14, 20, …
b.) 9, 13, 17, 20, 23, …
Answer:
a is arithmetic sequence.
Step-by-step explanation:
option a is an arithmetic sequence because we use d=t2-t1 formula
so like wise,
8-2=6
14-8=6
20-14=6
You start at (1, -4). You move left 4 units and down 1 unit. Where do you end
The translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
What is translation?Translation in mathematics is the movement of a shape in any direction—left, right, up, or down—without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
Given that you start at (1, -4). You move left 4 units and down 1 unit. The translated point will be calculated as,
(1, -4) ⇒ ( 1 - 1 , -4 - 4)
( 1 , 4 ) ⇒ ( 0 , -8)
Therefore, the translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
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What is the value of the expression shown below?
(2/3)²+5×2-4
Answer:
6 4/9
Step-by-step explanation:
Sorry if it’s a little messy.
Maths is hard but we can do this!
please help asapppp 2
Answer:
c
need brainest
Step-by-step explanation:
yes or no i make first answer brailiest
Answer: yes
Step-by-step explanation:
What is the answer for number 4
Answer:
x=-13
Step-by-step explanation:
All you have to do is divide 8 by both sides because you want to get x by itself.
a backyard has an area of 72 square feet. of the following choices, which is the smallest possible perimeter of the backyard?
What are inverse functions?
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
A relative-frequency distribution is to a variable as a __________ distribution is to a random variable.
Answer:
Probability distributionStep-by-step explanation:
The answer is probability distribution
What is probability distribution?
Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.
Basically the function assigns probabilities to some sets of values.
Also There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
A relative-frequency distribution is to a variable as a Probability distribution is to a random variable.
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.
The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.
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Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Which plumber charges the greatest hourly rate?
Answer: Took the test
Step-by-step explanation:
A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Answer:
0.043
Step-by-step explanation:
find the two angle measures from the diagram 3x+10 3x-28 there's 3 answer's 71,71 109 ,109 109,71 last question brainiest u will get
Answer:
109 and 71Step-by-step explanation:
3x + 10 + 3x - 28 = 180
6x = 180 - 10 + 28
x = 198/6
x = 33
substitute the value of x = 33 back into the equation to solve for each angle
= 3x + 10
= 3(33) + 10
= 109
= 3x - 28
= 3(33) - 28
= 71
your thinking
2. A shipping box should weigh 1.0 pound. If
there is a 10% error on the weight, what is the
range of acceptable weight?
Answer:
.9 pounds to 1.1 pounds
Step-by-step explanation:
10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box
Answer:
the answer is 0.9-1.0
Step-by-step explanation:
the answer is that because my teacher gave me the answer
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 13 customers buy a magazine
Answer:
0.0329 ≅ 0.03 to two decimal places
Step-by-step explanation:
The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.
His suspicion that only 10.7% of his customers by a magazine (daily) is correct.
What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?
The probability is:
10.7% × 4/13 = 10.7/100 × 4/13 = 0.107 × 0.308 = 0.0329 ≅ 0.03 to two decimal places
A box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side.
If the length and width of the base are doubled, how many cubes could the new box hold?
18
24
48
96
Answer: 48 cubes in the new box
Step-by-step explanation:
Doubling the length and the width is 2×2, so 4 times the original capacity.
4×12 = 48
It is not necessary to compute the volume. The dimensions could be anything. It's the number of cubes that count.
Answer:
C, 48
Step-by-step explanation:
I hope that helps!!!!!!!!
Whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt is y=3x-3
Answer:
-9
Step-by-step explanation:
1. Write an algebraic expression for the sum of three coins and c coins.
A. C+3
B. C/3
C. 3c
D. C-3
2. Use mental math to solve the equation.
Z/-12 = -5
A. 7
B. -60
C. -17
D. 60
3.Estimate the solution of the equation x-8.1= 5.3 to the nearest whole number.
A. About 13
B. About 14
C. About 4
D. About 3
4. Solve the equation
14 = t-44
A. -30
B. -58
C. 30
D. 58
-3 = j + 50
A. 80
B. 20
C. -1500
D. -80
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. -12.04
5.8 = z/2.2
A. 127.6
B. 0.37
C. 3.7
D. 12.76
Answer:
1 Is A
2 is B
3 is A
4a is D
4b is -53 but that's not an answer choice
4c is C
4d is D
find the standard deviation
Answer:
d. 7.3
Step-by-step explanation:
To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).
75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.
Then divide by the count which is 10.
840/10 = 84 [This is the mean of the data.]
Then subtract every point of data from the mean and square it:
(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.
Then to get the variance, divide this all by the count.
540/10 = 54 [This is the variance of the data.]
Then all you have to do to get the standard deviation is take the square root of the variance.
√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
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Answer please! I will give out brainlest!
Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.
Answer:
Miranda can bake 30 cookies with 6 scoops of flour.
Step-by-step explanation:
The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1
Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.
A teacher has 25 students in a class. Each student has to pay $12.50 for a workbook to use in class. During the
first week of school, 7 students paid for their workbook. The remaining students paid for their workbook during the
second week of school. How much money did the teacher collect during the second week of school, what is the number problem
what is the answer of x for this?
Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees
180 = x + 156
Subtract 156 from both sides.
24 = x