Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
Jenny asked 12 students how many courses they have taken so far at her college. Here is the list of answers.
16, 7, 21, 14, 9, 11, 22, 19, 17, 12, 5, 25
What is the percentage of these students who have taken fewer than 21 courses?
Answer: 75%
Step-by-step explanation:
Only 9 students have taken fewer than 21 courses
9/12 = 0.75 or 75%
Find the value of x. Round to the nearest tenth.
Answer:
x=5.9
Step-by-step explanation:
tan(26)=x/12. x=12*tan(26)=5.9
Please help right now ASAP!!!make sure your right
Answer:
Step-by-step explanation:
see attached photo, please help asap!!!
Answer:
3.398
Step-by-step explanation:
log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398
What is the reminder? Help
Answer:
6
Step-by-step explanations:
The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.
Hope this helps.
Andrew is an avid archer. He launches an arrow that takes a parabolic path.
The equation of the height of the arrow with respect to time is
y = -4.9x2 + 48x, where y is the height of the arrow in meters above
Andrew's bow and x is the time in seconds since Andrew shot the arrow.
Find how long it takes the arrow to come back to a height even with his bow
height.
Answer:
9.7959 sec
Step-by-step explanation:
For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959
The time arrow take to come back to a height even with his bow height is 9.79 seconds.
We have an equation of the height of the arrow with respect to time -[tex]y = -4.9x^{2} +48x[/tex] where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.
We have to find out - how long it takes the arrow to come back to a height even with his bow height.
The motion of arrow in the above situation is an example of which type of motion?It is an example of two - dimensional Projectile motion.
We have the function that depicts the variation of height of the arrow with respect to time given by -
[tex]y=-4.9x^{2} +48x[/tex]
To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.
[tex]y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79[/tex]
Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.
To solve more questions like these, visit the link below -
https://brainly.com/question/13630358
#SPJ2
x+1=0
Giải hộ em với
Answer:
x = -1
Step-by-step explanation:
-Subtract 1 from both sides of the equation
x + 1 = 0
x + 1 - 1 = 0 - 1
-simplify
x = -1
Sailor Shettal
The Midpoint Formula
Aug 04, 1:31:11 PM
?
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
+-
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
(8,7)
Step-by-step explanation:
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
(10+6)/2 = 16/2 = 8
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
(5+9)/2 = 14/2 = 7
The coordinate of the midpoint is (8,7)
PLEASE HELP I'M GOING INTO 8TH GRADE AND I HAVE NO IDEA HOW TO DO ALGEBRA AND THIS IS CONFUSING HELP MY! :l 4x - 8 > -40
4x -8 > -40
Add 8 to both sides:
4x > -32
Divide both sides by 4:
X > -8
Answer: x > -8
Explain what it means for a solution of an equation to be extraneous.
Answer:
Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).
Complete the table for the given rule.
Rule: y=2x
Answer:
1. y=18
2. x=5
3. y=2
Step-by-step explanation:
y=2x
1.
As you have x, substitute (replace) x for 9 to find y.
2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).
So, y=18
2.
As we know that y=10, do the same thing and substitute.
10=2x
Isolate x by dividing:
10÷2=5
So, x=5
3.
Substitute x:
2×1=2
So, y=2
Hope this helps :)
Given HM = 24 and mHK = 66 , find x and y
Answer:
x=24,y=33
hopefully this answer can help you to answer the next question
4) If x/y = 7/3 then find the value of
[tex]3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2} [/tex]
Answer:
1011
Step-by-step explanation:
3x^2 + 2y^2 x^2 - 2y^2
3(7)^2 + 2(3)^2 3^2 - 2(7)^2
3(7^2 + 2 x 3 x 7^2 - 2 x 3)
3(7^2 +6 x 7^2 - 6)
3(7 x 7^2 - 6)
3(7^3 - 6)
3(343 - 6)
3(337) = 1011
Find the volume of a rectangular solid that
is 9 ft. by 12 ft. by 8 ft.
Help please
Answer:
864 ft³ is the volume
Step-by-step explanation:
Volume = width · height · length
= 12 · 9 · 8
= 864
Answer:
Step-by-step explanation:
Volume of rectangular solid = length * width * height
= 9 * 12 * 8
= 864 ft³
Please answer this, I need help asap
Answer:
Final solution is ---> 17
See attached picture for step-by-step explanation
Answer:
17
Step-by-step explanation:
A fraction bar is like parentheses
Complete the items above and below it first
43-1
------- + 10
4+2
42
----- + 10
6
Then divide
7+10
Then add
17
Item 1 Which fraction is equivalent to 3.47? 3_23/50 3_47/100 3_12/25 I don't know.
Answer: 3 and 47/100
Step-by-step explanation:
write an equation for a line parallel to: y = -3x + 2.
Answer:
y = 1/3x + 2
Step-by-step explanation:
Andrew has a coupon for 20 % off of the price of any CD. If he purchases a CD originally priced at $16, what will the discounted price be?
Solve the above problem by using decimals.
Answer:
If you want to turn a percentage into a fraction divide by 100:
20%/100 = 0.2
0.2*16 = 3.2$
and if you want to turn a decimal into a fraction multiply by 100.
His discounted price will be 3.2$.
Have a nice day! :-)
and if you have questions please ask!
Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.
Given information-
Andrew has a coupon for 20 % off of the price of any CD.
The price of the CD purchased by the Andrew is $16.
PercentagePercentage is the part of a whole given as a fraction of the hundred.
As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,
[tex]d=\dfrac{16\times20}{100} \\ [/tex]
[tex]d=3.2[/tex]
Thus the discount on the CD is 3.2.
Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,
[tex]P=16-3.2[/tex]
[tex]P=12.8[/tex]
Thus the discounted price of the CD is $12.8.
Learn more about the percentage here;
https://brainly.com/question/1691136
DJVJNNSMKAJABJSHSNSB
please help ! pick two answers
Answer:
B and C
Step-by-step explanation:
25% of 60 = 15
B. 25/100*60 = 15
C. 0.25*60 = 15
The shape of the sign outside Bob's Burger Barn is a regular octagon. How many degrees are in the measure of an interior angle of this sign?
Answer:
An octagon has eight interior angles.
Interior angle total sum = (n-2) x 180, where n = number of sides.
Since an octagon has 8 sides, we have:
6 x 180 / 8, which is 135.
The answer is 135.
Let me know if this helps!
A person walks away from a pulley pulling a rope slung over it. The rope is being held at a height 10 feet below the pulley. Suppose that the weight at the opposite end of the rope is rising at 4 feet per second. At what rate is the person walking when s/he is 20 feet from being directly under the pulley
The image of this question is missing and so i have attached it.
Answer:
dd/dt = 4.47 ft/s
Step-by-step explanation:
From the image attached, let's denote the following;
d = horizontal distance beneath pulley
h = height of pulley
l = diagonal from the pulley to the head of the person
v = velocity of rope rising
Using pythagoras theorem;
l² = d² + h²
Differentiating with respect to time and considering h = c^(te) gives;
2l(dl/dt) = 2d(dd/dt)
We are given;
d = 20 ft
h = 10 ft
v = 4 ft/s
We know that velocity in this case is change in diagonal distance with time. Thus;
v = dl/dt = 4 ft/s
From earlier, we saw that;
2l(dl/dt) = 2d(dd/dt)
Thus, reducing it gives
(dl/dt)(l/d) = dd/dt
Now, l² = d² + h²
l = √(d² + h²)
Also, v = dl/dt = 4
Thus;
4(√(d² + h²))/d = dd/dt
4(√(20² + 10²))/20 = dd/dt
dd/dt = 4.47 ft/s
Match the answers……………..
9 in 8956 = 900
9 in 95675 = 90000
9 = 9 in 124569
9 in 68795 = 90
90000 = 9 in 2549652.........
hope it helps...
Find the value of the variable(s). (9x + 12) 3x (4y - 10)
Answer:
2.07648468018
Step-by-step explanation:
need help asap pls !
Answer:
L={∅}
Step-by-step explanation:
Can someone please help? I'm not doing well.
Step-by-step explanation:
am not seeing it is not clear capture another video
HELP PLSSS! .
Skylar buys ice cream and lemons at the store.
She
pays
a total of $19.67.
She
pays $5.35 for the ice cream.
She buys 4 bags of lemons that each cost the same amount.
.
Which tape diagram could be used to represent the context if b.
represents
how much each bag of lemons costs?
Answer:
It is the diagram A
Please help me. if I don’t complete my course I’m getting sent back to my parents house, and I need to complete this course
This is similar polygons, and the lessons I get don’t help
20) solve:
[tex] {8}^{2} + 2 = [/tex]
21) solve:
[tex]4(2x + 5y = [/tex]
22) simplify the expression
[tex]4( {2}^{2} + 30) - 4 = [/tex]
Write the equivalent expression for the following radical expressions. Simplify numerical expressions
when possible. (1 point)
please help asap
Answer:
Step-by-step explanation:
8) [tex]\sqrt{x^{3}} = x\sqrt{x}[/tex]
9) [tex]\sqrt[3]{3^{6} } = 3^{2} = 9[/tex]
10) [tex](x^{\frac{1}{2} } )^{9} = x^{2} \sqrt{x}[/tex]
11) [tex]7^{2} = 49[/tex]
12) [tex]27^{\frac{2}{3} } = \sqrt[3]{27} ^{2} = 9[/tex]
13) 9x[tex]\sqrt[3]{3xy^{2} }[/tex]