Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked
what is the constant of proportionality and equation?
Answer:
The constant of proportionality is 2 it is y=2x
Step-by-step explanation:
Each time the number goes up it goes up by two i hope this helps have a nice day
HURRY PLEASE 2020 2021 T-Math-Geo T1-CIT: Section 2 - Calculator Section
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment
Answer:
the answer is a line segment :)
Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)
By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.
Answer:
The answer is below
Step-by-step explanation:
The electrical resistance R of a wire varies inversely with the square of its diameter d:
R ∝ 1 / d
Let k represent the constant of proportionality, hence we can represent the statement as an equation:
[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]
Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.
Answer:
A) You climbed 15 feet up a tree before coming back down 15 feet
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
The table below shows the location of four treasure chests relative to sea level. Which treasure chest is the farthest away from sea level?
a 0.75 foot
b 5/4 feet
c -0.5 foot
1 foot
Answer:
Step-by-step explanation:
sea level means negative so it have to be C -0.5 foot
problem solved
If x-5=12, what is the value of x-9?
Answer
8
Step-by-step explanation:
5+12=17 and 17-9=8
2. Solve in two ways
1/2 +1/4
Answer:
Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped
The coordinates of the point 3/10 of the way from A(-3,-8) to B(11,4) are ___?
Answer:
The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
Step-by-step explanation:
to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point
Change in x coordinate: x₁ = -3, x₂ = 11
= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15
3/10 of 15 = 0.3 × 15 = 4.5
This means that the point on the x axis is 4.5 points away from x₁
= -4 + 4.5 = 0.5
Change y coordinate: y₁ = -8, y₂ = 4
= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12
3/10 of 12 = 0.3 × 12 = 3.6
This means that the point on the y axis is 3.6 points away from y₁
= -8 + 3.6 = -4.4
Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
Find the value of x.
(A) 16 (B) 41 (C) 5 (D) 25 (E) 66
Answer:
D. 25Step-by-step explanation:
D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .Thank you ☺️☺️☺️
To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3
Answer:
Option A. is correct
Step-by-step explanation:
Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.
For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.
Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]
Like terms need to be combined to write the polynomial in standard form
Here, like terms are [tex]3x^3,2x^3[/tex]
Option A. is correct.
Express 27x81 as a power of 3
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
Please help me ! Find y
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
Please help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
A vine called the mile-a-minute weed is known for growing at a very fast rate it can grow up to 0.25 ft per day. How fast in inched per hour can the mile-a-minute weed grow up to?
Answer:
it can grow .125 inches an hour
Step-by-step explanation:
if thats not what u were looking for commet it and ill try to help more
Answer:
.125 inches per hour
Step-by-step explanation:
you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.
1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."
Answer:
3x+3
Step-by-step explanation:
The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."
Let the first integer is x.
Next consecutive integer of x = x+1
Other next consecutive integer of x+1 = x+1+1=x+2
ATQ,
The expression is :
=x+x+1+x+1+1
=3x+3
Use scientific notation to find the product of 7.13 × 10 -3 and 40.
Answer:
(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1
Step-by-step explanation:
I think this is the answer i hope if it right or not but aleast I try on it .
Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.
Answer:
$18234
Step-by-step explanation:
Joe is training to run in a half marathon in two months. This week he ran 1, 200,000 millimeters on Monday, 2, 400 meters on
Wednesday, and 4.6 kilometers on Friday. What is the total distance in kilometers that he ran this week?
TI
The total distance he travelled in kilometer is 8.2 km
What is distance?Distance is the total movement of an object without any regard to direction.
Given:
On Monday he walked = 1, 200, 000 mm
On Tuesday he walked= 2,400 m
On Wednesday he walked = 4.6 km
As, 1mm = 1/100,000
1,200,000 mm = 1.2 Km
and, 1 m =1/1000 km
2400m = 2.4 km
Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km
Learn more about this concept here:
https://brainly.com/question/3128392
#SPJ2
Chase rode his roller skates around the block 5 times for a total of 1 mile yesterday. Today he wants to ride his roller skates 3/5 of a mile. How many times will he need to ride his roller skates around the block?
Sven buying 3 1/3 pounds of wood. The wood costs 1.60 per pound. How much did Sven pay?
Answer:
$5.33
Step-by-step explanation:
If there are 3 1/3 lbs of wood and it's $1.60 per lb, then:
Turn the mixed number into an improper fraction first:
3 1/3 = 3/3 + 3/3 + 3/3 + 1/3
= 10/3
Then, turn 1.60 into an improper fraction too:
1.6 = 1 6/10
= 1 3/5
= 5/5 + 3/5
= 8/5
Then—letting x represent the number of lbs:
8/5x = 8/5 × 10/3
= (8 × 10)/(5 × 3)
= 80/15
= 16/3
To put this in dollar/decimal form, simplify:
16 ÷ 3 = 5.3333333 . . .
≈ $5.33
A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?
Answer:
4.5
Step-by-step explanation:
The equation for line A is shown below: Y= -2/3x-4 Line A and Line B are perpendicular, and the point (-2 , 1) lies on Line B. Which equation Below represents line B?
Answer:
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]
Step-by-step explanation:
Given
Line A:
[tex]y = -\frac{2}{3}x - 4[/tex]
Line B:
[tex](-2,1)[/tex]
Required
Determine the equation of Line B
First, we need to determine the slope of A using
[tex]y =mx + b[/tex]
Where:
[tex]m = slope[/tex]
By comparison:
[tex]y = -\frac{2}{3}x - 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Since A and B are perpendicular:
The slope of B (m2) is:
[tex]m_2 = \frac{-1}{m}[/tex]
[tex]m_2 = -1/\frac{-2}{3}[/tex]
[tex]m_2 = -1 * \frac{-3}{2}[/tex]
[tex]m_2 = \frac{3}{2}[/tex]
The equation of B is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex]m = \frac{2}{3}[/tex]
So, the equation becomes
[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]
[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]
Open bracket
[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]
Make y the subject
[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]
[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]
Use inductive reasoning to predict the next three numbers in the pattern.
Home
3, 5, 8, 13, 21, 34, ...
nents
Predict the next three numbers in the pattern.
3, 5, 8, 13, 21, 34,
Answer:
The next three terms are 55,89 and 144
Step-by-step explanation:
We want to predict the next three numbers in the pattern
3, 5, 8 , 13 , 21 , 34
The difference between two successive terms is written between them.
Thus, we have
3 2 5 3 8 5 13 8 21 13 34
So the rule here is to add the next term to the previous so as to get the next coming term
Thus, we have;
34 + 21 = 55
55 + 34 = 89
89 + 55 = 144
Which Polygons are similar to A? PLEASE ANSWER QUICKLY
Answer:
B and C are similar to A but E is same as A.
HI! Please answer this question! I'll mark as brainliest for whoever gets it right!
Answer:
32
Step-by-step explanation:
to get the area of a parallelogram you just do base times height
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.