Answer:
7.5m
Step-by-step explanation:
Since we are not asked what to look for we can find the maximum height reached by the ball
The ball reaches its maximum height when dh/dx = 0
dh/dx = -2.4x + 6
0 = -2.4x + 6
2.4x = 6
x = 6/2.4
x = 2.5
Get the max height
Recall:
h =-1.2x^2 + 6x ,
h(2.5) = -1.2(2.5)^2 + 6(2.5)
h(2.5) = -1.2(6.25)+15
h(2.5) = -7.5 + 15
h = 7.5
Hence the maximum height reached by the ball is 7.5m
Find the constant of variation when y=6 varies directly with x=3
Answer:
The constant of variation is 2
Step-by-step explanation:
The equation of the direct variation is y = k x, where k is the constant of variation
Let us solve the question
∵ x and y are in the direct variation
→ Use the form of the equation above
∴ The equation of variation is y = k x
∵ x = 3
∵ y = 6
→ Substitute them in the equation above
∴ 6 = k (3)
∴ 6 = 3k
→ To find k divide both sides by 3
∵ [tex]\frac{6}{3}[/tex] = [tex]\frac{3k}{3}[/tex]
∴ 2 = k
∵ k is the constant of variation
∴ The constant of variation is 2
What is the value of 0.2
Answer:
value of 0.2 in fraction is 1/5
How many mg of erythromycin should a 45lb child receive base on the adult dose of 250 mg qid
solve this question
a=7+3
Answer:
10Step-by-step explanation:
The answer is 10 because 7 + 3 equals 10!
This can be proven by adding 7 + 3 or by subtracting in a certain way.
7 + 3 = ?
7 + 1 = 8
7 + 2 = 9
7 + 3 = 10
You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.
If you subtract 7 by 10, ( 10 - 7 ) then you get 3
If you subtract 3 by 10, ( 10 - 3 ) then you get 7
If the number you subtracted matches the number that you didn't subtract, then your answer is correct.
Hope this helps! <3
Which system of linear inequalities is graphed below?
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
please explain how i would figure out where to place it
Answer:
i cant see it wdym
Step-by-step explanation:
Which of the following are polynomials?
A. x^2 + x + 1/x^2 + 1
B. 2/x^3 + x + 1/2
C. 2/3x^2 + x + 1
D. x^2/3 + 0x + 1
E. x^3 + 2x + square root of 2
Answer:
The polynomials are:
[tex]\frac{2}{3}[/tex] x² + x + 1 ⇒ C
x³ + 2x +√2 ⇒ E
Step-by-step explanation:
A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
A polynomial never division by a variableA polynomial could be one term, and it could be just a constantLet us solve the question
∵ The polynomial never division by a variable
∵ Answer A and B have a division in variable ⇒ ( [tex]\frac{1}{x^{2}+1 }[/tex] , [tex]\frac{2}{x^{3}}[/tex] )
∴ Answers A and B are not polynomials
∵ The polynomial has integer exponents of variables
∵ Answer D has a fraction exponent of x ⇒ [tex]x^{\frac{2}{3}}[/tex]
∴ Answer D is not a polynomial
∵ [tex]\frac{2}{3}[/tex] x² + x + 1 has a non-negative integer exponent of x
∵ There is no division by x
∴ [tex]\frac{2}{3}[/tex] x² + x + 1 is a polynomial
∵ x³ + 2x +√2 has a non-negative integer exponent of x
∵ There is no division by x
∴ x³ + 2x +√2 is a polynomial
∴ The polynomials are [tex]\frac{2}{3}[/tex] x² + x + 1 and x³ + 2x +√2
Answer:
Step-by-step explanation:
22. What is the slope of this line?
y = 3x + 8
(provide and explanation)
Answer:
The slope is 3
Step-by-step explanation:
Y = mx + b
In this formula, mx means the slope so there is no math needed to be worked out.
Answer:
3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
In above problem, what does 3 stand for?
Answer:
there is no problem
Step-by-step explanation:
If [x] = 3 what's the value of x?
Answer:
DO U PLAY AMONG US WELL I DO
Step-by-step explanation:
WHO LIKES SCHOOL ANYWAYS THATS Y WE R USING THIS APP ADD ME ON SNAP
roger bought 8 small bricks for his garden for $5.46. the total weight of the bricks was 6 1/4 pounds how many pounds does one brick weigh
Answer:
0.78125 pounds
Step-by-step explanation:
the weight of 8 brick is 6.25 pound
divide the weight by 8 to take the weight for the one brick
work out 16^2 - 17 divided by square root of 2.3 + 5.87
Answer:
32.35599681
Step-by-step explanation:
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
Which Graph Shows a Linear Function?!!
Answer:
bottom left
Step-by-step explanation:
...............
Answer:
B
Step-by-step explanation:
At 3 P.M., the temperature is 12°F. It then began dropping 2°F every hour for 7 hours. What was the temperature after 7 hours?
step-by-step needed?:)
What is the solution to the system below?
x + 3y = 0
2x - y = -7
( x, y ) = ( -3, 1 )
hope it helps!
Which is the best description for the graph?
A graph decreases through (0, 0) and then increases.
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
The graph is decreasing, then increasing
Answer
d
Step-by-step explanation:
I already know and i did the test
The three angles in a triangle have measures x, 3x, and 5x. Solve for x
Three angles of the triangle:
[tex]3x \\ 5x \\ x[/tex]
___________________________________________
3x + 5x + x = 180
9x = 180
x = 180/9
x = 20
Can someone solve this problem showing the work 4n - 3 ≤ 21
Answer:
n[tex]\leq[/tex]6
Step-by-step explanation:
4n[tex]\leq[/tex]21+3
4n[tex]\leq[/tex]24
n[tex]\leq[/tex]24/6
Answer:
n ≤ 6
Step-by-step explanation:
first you'd add 3 to both sides to get 4n by itself. addition cancels subtraction. remember whatever you do to one side, you must do to the other
4n ≤ 24
then you must divide by 4, to cancel out the multiplication to get n by itself.
n ≤ 6
so anything less than 6 or equal to 6 will make the inequality true
someone please help
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
What is the length of each leg of the triangle below?
45
26
90"
45
O A. 1
OB. 13
O C. 13
O D. 18
O E. 26
O F. 135
Answer:
Step-by-step explanation:
SOH CAH TOA
Cos(Ф) =Adj / Hyp
26*Cos(45) = Adj
26*[tex]\frac{\sqrt{2} }{2}[/tex] = Adj
13[tex]\sqrt{2}[/tex] = Adj... and also it's the same for the other leg
sin and cos of 45° are the same
Answer:
13/ 2 squared which is b
Step-by-step explanation:
times 13 by 2 you get 26
What is the simplest form of this expression –x3(3x+1)-2x4?
Answer:
x^4+x^3
Step-by-step explanation:
Answer:
1-x3
Step-by-step explanation:
-x3(3x+1)-8
9-x3-8
1-x3
30 ⅓ % of 3 plz help me
Answer:
3 / 10 is the answer in fraction and 0.3 is the answer in decimal.
Step-by-step explanation:
hope this answer will help you
have a great time
At a six grade graduation celebration there are 80 students and 40 parents.What fraction of the ratio of students to the total number of people at the graduation
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3
Michael makes an annual gross salary of $120,500. He pays 33% in taxes annually. What is his annual net pay?
Answer: $80,735
=======================================================
Work Shown:
33% = 33/100 = 0.33
33% of 120,500 = 0.33*(120,500) = 39,765
Michael pays $39,765 in taxes
This makes his net pay to be 120,500-39,765 = 80,735 dollars.
------------
A shortcut is to compute
0.67*(120,500) = 80,735
The 0.67 refers to the fact that if he pays 33% of his gross income, then he keeps the remaining 100% - 33% = 67% of it.
What is sin 28°?
62
17
8
28
90°
15
Answer:
0.4695
Step-by-step explanation:
sin 28° = 0.4695
I don't understand your choices.
whats the answer for this
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 6, which equation could be used to find its H value?
Answer:
[H^+] = Antilog[-6]
Step-by-step explanation:
Even though the question is incomplete, let us try to correctly derive the equation used to find the hydrogen ion concentration.
pH=−log[logH^+]
-pH = log[H^+]
[H^+] = Antilog[-pH]
Since pH =6
The equation is;
[H^+] = Antilog[-6]
Answer:
logH=−6
Step-by-step explanation:
Substituting the given value into the formula: 6=−logH; −6=logH; 10−6=H; H=0.000001. The equation logH=−6 is a step in the process of finding the H value.
I'm doing a extra credit worksheet for math it says “Graph the following equation (Don’t forget to get y alone first, then use the slope and y-intercept to graph” the equation I’m doing right now is y= 1/2x + 18 can somebody please help me
9514 1404 393
Answer:
see below for a graph
Step-by-step explanation:
Your equation has "y alone". It is written in "slope-intercept form."
y = mx + b . . . . . . . where m is the slope and b is the y-intercept.
Comparing your given equation ...
y = 1/2x + 18
to the above form you see that m = 1/2 (the slope) and b = 18 (the y-intercept).
The y-intercept is where the graph crosses the y-axis, so the first point you can plot on the graph is at (0, 18) on the y-axis.
The slope of 1/2 tells you the ratio of "rise" to "run" is 1/2. That is, the "run" (change in x) is 2 units for each "rise" (change in y) of 1 units
m = rise/run = 1/2
So, another point (or several) can be found by moving twice as many units to the right as you move up. For example, if you choose 10 units right, to x=10, the point will be 10/2 = 5 units up from y=18, at y = 23. That is (10, 23) is another point on the graph.
Now, you have points (0, 18) and (10, 23) on the line. The graph will be a straight line through those points.
Compare your estimate to the exact quotient. Does your quotient seem reasonable? Explain your answer. 9 1/3 ÷ 2 3/4
Answer:
(9(3)+1)/3÷(2(4)+3)/4
28/3÷11/4
28/3×4/11
112/33
3.393