Answer:
14 seconds will be preferable for the second plan
Find the equation of a line that passes through the point (4,2) and has a gradient of 5.
Leave your answer in the form y = mx + c
Answer:
The equation of a line in the slope-intercept form is:
y = 5x - 18
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptIn our case, we are given
m = 5Point (4, 2)now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept
y = mx + b
2 = 5(4) + b
20 + b = 2
subtract 20 from both side
20 + b - 20 = 2 - 20
b = -18
now substituting b = -18 and m = 5 in the slope-intercept form of the line equation
y = mx + b
y = 5x + (-18)
y = 5x - 18
Therefore, the equation of a line in the slope-intercept form is:
y = 5x - 18
Plz i need help on a math problem it is 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5 plz someone help me!!!!
Answer:
(1) 1/8
(2) 1/12
(3) 1/16
(4) 1/20
Step-by-step explanation:
We need to find multiple divisions, it says 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5.
We will take one by one
(1) 1/4 divides by 2 will be = 1/8
(2) 1/4 divided by 3 = 1/12
(3) 1/4 divided by 4 = 1/16
(4) 1/4 divided by 5 =1/20
These results are obtained by dividing the given parts, as the given Numerator is in fraction so whatever will be divided from the fractional numerator will get multiplied with the denominator.
The grade of a hill is its steepness represented as a percent. Jin tracks his walking speed up different hills. What does the rate of change, or slope,
represent in this situation?
Answer: The rate represents a decrease in speed for each 1% grade increases.
Step-by-step explanation:
You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.
The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
Converting rate of change or slope to percentage(where dependent variable is height and the independent variable is the distance walked horizontally)
Slope percent = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]
This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.
Learn more about percentage here:
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A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)
Answer:
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.
Determine the scale factor of the dilation, if OA = 7 and OA' = 21.
Answer:
i think its 3
Step-by-step explanation:
21/7=3
The second figure OA' divided by first figure OA = 21/7=3
5x – 2x = 12
How do I solve
Answer:
4
Step-by-step explanation:
Replace X with 4
(5*4)-(2*4) = 12
Answer:
x =4
Step-by-step explanation:
5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)
3x = 12 (Now divide by 3 from both sides to get x)
x = 12/3 (Now that you got x, you want to simplify)
x = 4 (12 divided by 3 is 4)
Calculate the area of metal sheet needed to make a cover as shown in the diagram below
Answer:
300m
Step-by-step explanation:
Angles Relations
PLEASE HELP!!
A. complementary
B. Alternate exterior
C. alternate interior
D. corresponding
Answer:
here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles
Answer:
option B
[tex]aleternate \: exterior[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
Find ∠LMQ in the parallelogram LMNQ.
Answer:
29 degrees
Step-by-step explanation:
alternate interior angles are equal
The measure of angle LMQ in the parallelogram LMNQ is 29 degrees
From the diagram, we have the following parameters
Angle NLQ = 100 degreesAngle MQN = 29 degreesAlso, from the diagram, angles MQN and LMQ are alternate interior angles
This means that, both angles are congruent
So, we have:
[tex]\angle LMQ = \angle MQN[/tex]
This gives
[tex]\angle LMQ = 29^o[/tex]
Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees
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∠A and ∠B are vertical angles.
If m∠A=8x+14 and m∠B=2x+50, what is m∠B?
The cost of downloading a video game app on the App Store is $1.75. Which equation can be used to find the c, the cost in dollar of downloading n video games?
A) c = n + 1.75
B) c = 1.75n
C) n = c + 1.75
D) n = 1.75 c
Answer:
Hey I just wanted to tell you that Jesus LOVES YOU SO MUCH He died on the cross for all your sins so you won’t have to suffer the consequences of your sin He paid for ALL OF IT! He loves you SO FREAKING MUCH like unconditionally... all you have to do is confess with your mouth and believe in your heart that Jesus is Lord and God raised Him from the dead 3 days later you will be saved ;)))))))) He wants an intimate relationship with you all you have to do is reach out to Him I love you AND ABOVE ALL JESUS LOVES YOU
Have a blessed day;))
Step-by-step explanation:
clothing store sells four shirts for $60.00. The next week, the store runs a special that is buy three shirts for $19.50 each, get the fourth free. Which is the better buy?
Answer:
the 19.50 for each one
Step-by-step explanation:
Answer:
its 19.50 get the fourth free
Step-by-step explanation:
Sam measured his foot to be 11 inches long, but it was actually 11.5 inches
What is the percent error?
Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 146º
Step-by-step explanation:
the sum of two angles on the same side is 180º
x + 34º = 180º subtract 34º from both sides
x = 146º
Pls help...no idea :/
I would really appreciate it
Answer:
12
Step-by-step explanation:
how to write this problem -2x+4 in y intercept form
-12-(-9)÷3 I need an answer
Answer:
-9
Step-by-step explanation:
-12-(-9)/3 = -12+9/3 = -9
make t the subject formula h=square root of 2t-3
The subject formula for t in equation form is "t = (h² + 3)/2".
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given, the subject formula h=square root of 2t-3
Since h = √2t-3
thus solving the equation for t
h² = 2t - 3
2t = h² + 3
t = (h² + 3)/2
Therefore, the Simplified form of the given equation in the terms of t is "t = (h² + 3)/2"
Learn more about equations here:
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Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?
28,993 years
9,955 years
2,899 years
996 years
Answer:
Step-by-step explanation:
0.5^(t/5730) = 0.30
2^(-t/5730) = 0.30
-t/5730 = log₂0.30
t = -5730 log₂0.30 ≈ 9953 years
hello. please answer this question, I WILL mark brainliest :)
Answer:
1. D) 0.113
2 C) 11
Step-by-step explanation:
1. #males that chose super strength/total males
[tex]\frac{25}{222}[/tex]= 0.113
2. the relative frequency can be converted to a percent which is 11.3%
given that a percent is out of 100, the expected number would be 11
A rectangular window is 3ft long and 2ft wide. Kala would like to buy a screen for the window. The cost of the screen is based on the number of square inches the screen is. Use the facts to find the area of the window in square inches.
Answer:
The cost of screen for window = 864.
Step-by-step explanation:
We have,
A rectangular window of length = 3ft and breadth 2 ft.Fir solving,
As the answers should be in sqaure inches let us first convert ft in inches.Then, we will find the area of window and as the cost of screen is same as that of area,we will find it.★Conversion from ft to inches:
We kow that,
1 foot = 12 inchesTaking this in mind, convert the values
= Length = 3 ft
= Length = 3 × 12
= Length = 36 inchees
= Breadth = 2ft
= Breadth = 2 × 12
= Breadth = 24 inches
★Area of window:
We know that,
= Area of rectangle = Length × Breadth
= Area = 36 × 24
= Area = 864 inches²
As, area of window in square inches equal to cost of the screen.
Therfore, cost of screen would be 864.
__________________________What is the solution to this system? -2x =14y=16x-4
Answer:
-2x =14y=16x-4
No Solution
Step-by-step explanation:
Sorry there is no solution found
Maybe you asked if it was all real numbers, no solution and and etc. The answer would be no solution
I am dilating a line AB. A ( 4, 6) and B ( -10, 8). Scale factor is 2. what are the new points?
Answer:4,6 will be 8,12. -10, 8 will be -20, 16
Step-by-step explanation:
Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/4 × 1/2 = 3/8I hope this helps!
Kaelyn has 14 coins that have a value if $1.20. she only had dimes and nickles. How many nickels does kaelyn have?
Answer:
24
Step-by-step explanation:
What is the difference in height between 30m up a cliff and 87 m up a cliff? What is the
distance between these positions?
The difference in height is *blank*
The distance between the positions is *blank*
Answer:
57 m.
Step-by-step explanation:
87 - 30 = 57.
A (Decode this message)
Answer:
don't cry because it is over smile because it happened
Step-by-step explanation:
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
840÷69=14
14×100=1400
Evaluate the expression 4^3 divided by (7-3) x2
Answer:
8
Step-by-step explanation:
Find x
4x^2-4=3x^2-3x
4
2
−
4
−
(
3
2
−
3
)
=
Answer:
Step-by-step explanation: