Answer:
The standard general equation for a straight line is:
y = mx + C. You said the slope of line is 2/3. m is always the slope in this context. So with the numerical value slope we have the line
Y = 2/3 X + C. You also said the line passes through the point (1, -4) that is the X value is 1 and the y value is -4. Substitute these value into the linear equation to find C, as follows
-4 = 2/3 + c. and so C = - 4 - 2/3 = -14/3 and so the equation of line is :
y = 2x/3 + 14/3 or if you like 3y = 2x + 14
It is important to remember that the convention of the bracketted numbers e.g. (1,-4) or ( 1, -4, z), say is that the first number in the brackets indicates the X value, the second the y value and the third, the z value in the case of 3 D coordinates.
A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spending 12 minutes at that elevation, the diver ascended to an elevation of -18 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
The rate of change of the diver's elevation was _______ ft/min.
Please include all of the work required to complete the mathematical problem. I would really appreciate it! <3
Answer:
The rate of change of the diver's elevation was 10 53/89 ft./min
Step-by-step explanation:
The given parameters are;
The initial elevation of the diver = 0 feet (Ocean surface level)
The depth to which the diver dove = -59 9/10 feet
The rate at which the diver descended = -18.4 feet/minute
The duration the diver spends at the elevation, t₁ = 12 minutes
The depth to which the diver ascended to = -18 9/10 feet
The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes
Therefore, we have;
The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes
The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes
The rate of change of the divers elevation in ascent = Distance of elevation/Time
The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute
The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.
Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
Kelley writes the expression n + 2 to model the phrase "Xander studied two more hours than Nandini." Which best explains the accuracy of Kelley's expression?
Answer:
Following are the solution to this question:
Step-by-step explanation:
It was right because the "Two" is "2," "more is" and "+" are two the most hours than Nandini and "n," so 2+n or n+2 is a true, phrase of Nandini's transcription".
Now, this vector n is unknown, so the number of hours Nandini researched should reflect.
Two further hours which Nandini researched Xander. So, Xander studied the number of hours = n + 2 or 2+ n. Kalley has therefore written a correct word.
Answer:
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.
Step-by-step explanation:
Say thanks for the anwer
What would be the missing angels
Answer:
X=51
y=39
Step-by-step explanation:
x=90-39=51
y=90-51=39
Can someone help please?!
Answer:
A.) Y.
Step-by-step explanation:
I'm not sure how to explain.
Which set of line segments could create a right triangle?
24, 30, 35
12, 18, 30
18, 24, 30
18, 24, 35
thirdStep-by-step explanation:
25+25= so first u want to add 5+5so that equals 10 so u put the one on the top of 2 then u add2+2+1 so that equals 5 so ur answer would be 50
Answer:
So you pretty much just solved your math by yourself :)
Step-by-step explanation:
What is the slope of y = 5x – 1?
Answer: The slope is 5
Step-by-step explanation:
The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.
In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answer: 3.5
Step-by-step explanation:
£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer:
Richard gets £240
Step-by-step explanation:
Let
Stephen's share = x
Richards share = 3x
Natasha's share = 2(3x)
Total money = £800
Total money = Stephen's share + Richards share + Natasha's share
800 = x + 3x + 2(3x)
800 = 4x + 6x
800 = 10x
Divide both sides by 10
x = 800 / 10
= 80
x = £80
Stephen's share = x = £80
Richards share = 3x
= 3(80)
= £240
Natasha's share = 2(3x)
= 2(240)
= £480
Richard gets £240
At time t minutes, the position of a body moving along the s-axis is s= t cubed - 27t squared + 200t feet. a. Find the body's acceleration each time the velocity is zero.
Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
[tex]s = t^3-27t^2+200t[/tex]
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]
First we need to get the time taken when the velocity is zero.
[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
Can you guys help with these questions!!
Answer:
You line up the letters
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
Add. 8x - 7 + 6x + 8
Help. I might be dumb for not knowing this but please help
Answer:
1
Step-by-step explanation:
Answer:
14 x + 1
Step-by-step explanation:
You aren't dumb, your teacher can't teach!
First we must add the x values together:
8x - 7 + 6x + 8
8 + 6 = 14
14x -7 + 8
Now we add the constants (regular numbers):
14x -7 + 8
-7 + 8
14x +1
There we go!
8x -7 + 6x +8
is
14x +1
what is d? -16(d + 1) = -20
Answer: d = 1/4
Step-by-step explanation:
−16(d+1)=−20
Step 1: Simplify both sides of the equation.
−16(d+1)=−20
(−16)(d)+(−16)(1)=−20(Distribute)
−16d+−16=−20
−16d−16=−20
Step 2: Add 16 to both sides.
−16d−16+16=−20+16
−16d=−4
Step 3: Divide both sides by -16.
-16d = -4
-16 -16
d = 1/4
Hope this helps :)
Answer:
d=1/4 or .25
Step-by-step explanation:
-16(d+1)=-20
-16d-16=-20
-16d=-20+16
-16d/-16=-4/-16
d= 1/4 or .25
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
Answer:
36
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i need some help please
Answer: 2.4 x 10^8
Step-by-step explanation:
Answer: 2.4x10^8
Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8
identify the property of equality which yields step 4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Division \: \: \: Property[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELP WILL GIVE BRAINLIEST AND 30 POINTS!!
Students went on a field trip. The destination was 7 miles away. In the first hour, the students walked three tenths of the distance. How far did they walk in the first hour?
ANSWER IS 2.1 miles PLEASE SHOW ALL WORK
Use the formula (n−2)×180◦ figure out the sum of the angle measures of the Trapezoid.
Answer: 360 degrees
Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.
Answer:
360!!!!!!!!!!!!!!!!!!!! ;)
Step-by-step explanation:
Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?
Answer:
1,820 trout
Step-by-step explanation:
Set up a proportion where x is the number of trout in the lake:
[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]
Cross multiply and solve for x:
25x = 45,500
x = 1820
So, you could expect 1,820 trout to be in the lake.
which expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4)?
Answer:
C
Step-by-step explanation:
The expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4) would be equal to (3/2 . 1/4)14
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; can be used to indicate the logical syntax's order of operations and other features.
Now we have given an expression as;
14(3/2 . 1/4)
Using associative property to make it easier to evaluate;
14(3/2 . 1/4)
= (3/2 . 1/4)14
The correct answer is D.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).
Let the given number be x.
Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:
= 3(6 + x)
In conclusion, the correct option will be 3(6 + x).
Read related link on:
https://brainly.com/question/11924335
HELP!!BRAINLIEST AND 10 POINTS !! <3 ALSO THIS SAYS -X SO PLEASE HELP WITH THAT !! THANK YOU
Question 3 of 10
What is the measure of RST?
A. 72°
B. 162°
C. 324°
D. 81°
Answer:
D. 81
Step-by-step explanation:
This answer was confirmed by two people in the comments.
What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.
[tex]162-81=81[/tex] ☑
[tex]162-72=90[/tex] ☒
[tex]162-162=0[/tex] ☒
[tex]162-324=-162[/tex] ☒
So, therefore the answer is [tex]81[/tex].
I hope this helped you. :)
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
Answer:
16 ft^2
Step-by-step explanation:
If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.
A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?
Answer:
20feetStep-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
What are the coordinates of point S”?
Answer:A
Step-by-step explanation:
Baking flour which costs $4.05/kg is made by combining bleached flour which costs
$5.75/kg with unbleached flour which costs $1.45/kg. Find the number of kg of bleached flour and unbleached flour required to make 17.2 kg of baking flour.
A) 11 kg of bleached flour, 6.2 kg of unbleached flour
B) 13.7 kg of bleached flour, 3.5 kg of unbleached flour
C) 12.7 kg of bleached flour, 4.5 kg of unbleached flour
D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour
Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour
Step-by-step explanation:
First find the cost of making a kg of Baking flour.
Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.
The formulas would be;
x + y = 1
5.75x + 1.45y = 4.05
x = 1 - y
5.75 ( 1 - y) + 1.45y = 4.05
5.75 - 5.75y + 1.45y = 4.05
5.75 - 4.3y = 4.05
4.3y = 5.75 - 4.05
4.3y = 1.7
y = 1.7/4.3
y = 0.395 kg
x = 1 - 0.395
= 0.605kg
To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.
To make 17.2kg of Baking flour;
Bleached flour = 0.605 * 17.2 = 10.4kg
Unbleached flour = 0.395 * 17.2 = 6.8 kg