Answer:
The maximum height of the rocket is 3600
Step-by-step explanation:
The vertex of the quadratic equation y = ax² + bx + c is (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive The vertex (h, k) is a maximum point if a is negativeThe height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time
To find the maximum height, do that
Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of kLet us do that
∵ y = -16x² + 480x
∴ a = -16 ⇒ the vertex is a maximum point
∴ b = 480
→ Use the rule above to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]
∴ h = 15
∵ k = y at x = h
→ Substitute x by 15 in the equatuion and y by k to find x
∵ k = -16(15)² + 480(15)
∴ k = -3600 + 7200
∴ k = 3600
∵ The maximum height equal the value of k
∴ The maximum height of the rocket is 3600
Systems of equations, solve by substitution please!
x + 7y = -37
4x - 3y = 7
Step-by-step explanation:
make the coefficients same
then if sign are same subtract the one you wanna cancel it then here it goes
lam gonna start making coefficient of x sam like this:
4.X+7y= -37
1.4X-3y=7
then i will subtract all x or cancel to each other then
4X+28y= -148
-
4X-3y=7
and then -×-=+
add all y
31y=141
y= 4.55 then we take one of the equation then substitute y to 4.55 so i chose first equation
X+7(4.55)=-37
X+31.85=-37
so take 31.85 to the side it will become -31.85
then X=-37-31.85
X=68.85
i hope that it will help you
PLEASE HELP!!!!!!!!!!!
What value of x is in the solution set of 8x – 6 > 12 + 2x?
–1
0
3
5
Answer:yea its 3
Step-by-step explanation:
BRAINLY AND POINTS FOR STEP BY STEP
b-4z =a for b
____
5
Answer:
Dividing both sides of 5x = 4 by 5 yields x = 4 _. 5 . The value of x can now be ... tuting −1 for a into the equation b = –a + 3 gives b = −(−1) + 3, or b = 4. ... ___. 82 − (2i)2 . Since i2 = −1, this can be simplified to 24 − 6i − 40i − 10. __.
hope this helps also Brainliest please:)
Answer:
b=7a+4z
Step-by-Step Explanation
I just took the test, this is right, but I'll give you a step-by-step because I want a Brainiest :D
b-4z over 7=a
Multiply both sides by 7
b-4z=7a
Aded 4z to both sides
Your answer is b=7a+4z
Please give me Brainiest!!!!
how can you tell when an equation in one variable has infinitely many solutions or no solution?
Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza?
Answer:
3*16=48
Step-by-step explanation:
If 1/16th of a pizza is 3 dollars, 1/16*16=1 3*16=48
Therefore,
1 pizza is $48
You really paying that much for one pizza
18 is answer i think
Jordie's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Jordie's curtain company wants to make 67 curtains, how many feet of fabric will he need?
Answer: 201 feet
Step-by-step explanation:
It should be noted that 1 foot = 12 inches. Therefore, 36 inches = 36/12 = 3 feets.
Each cotton uses 3 feets in length. Therefore, 67 curtains will use:
= 67 × 3 feets
= 201 feets
WILL MAKE BRAINLIEST! Let sin 21 = 0.358. What is the value of x for cos x = 0.358
Answer:
The value of x is 69°
Step-by-step explanation:
In a right angle triangle, if m and n are the two acute angles on it, then
m + n = 90° sin(m) = cos(n)cos(m) = sin(n)That means if sin(m) = cos(n), then m + n = 90°
Let us use these facts to solve the question
∵ sin(21°) = 0.358
∵ cos(x°) = 0.358
→ That means sin(21°) = cos(x°)
∴ sin(21°) = cos(x°)
→ By using the facts above
∴ 21 + x = 90°
→ Subtract 21 from both sides
∵ 21 - 21 + x = 90 - 21
∴ x = 69°
∴ The value of x is 69°
The following two triangles are similar. Find x
A.) 4
B.) 6
C.) 7
D.) 5
The value of x is 7.
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two similar triangles.
56/48 = x/6
Cross multiply.
x = (56 x 6)/ 48
x = (7 x 6)/6
x = 7
Thus,
x is 7.
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Evaluate each value expression for the given value of x : 22-x/5 , x=20
HURY!!!!!!!!!!!
Answer:
10 maybe sorry if wrong
Step-by-step explanation:
22-x x=20 so that should be 2 then u do 2x5 =10
The Advanced Drama Club is selling tickets for Annie. Pre-registered tickets cost $6 and tickets at the door cost $8.50. The total number of tickets sold was 355. The total amount received was $2,580. Write a system to determine how many of each type of ticket was sold. Use p for pre-registerd and d for tickets purchased at the door. Solution: (pre-registered tickets, door tickets)
6/8.50=2 we get 35 ticket did help
Graph the inequality 2x + y > 4 and shade the correct solution set.
Answer:
shouldn't there be a pictures with this Question
Step-by-step explanation:
Which pair of ratios is not equal? 72 : 64 and 27 : 4 72 : 64 and 27 : 4 90 to 18 and 5 to 1 90 to 18 and 5 to 1 25 to 10 and 10 to 4 25 to 10 and 10 to 4 6 : 7 and 30 : 35
Answer:
a) 72 : 64 and 27 : 4
Step-by-step explanation:
a) 72 : 64 and 27 : 4
72 /64 = 27/4
9/8 ≠ 27/4
Not equal
b) 90 to 18 and 5 to 1
90 : 18 = 5/ 1
5/1 = 5/1
Equal
c) 25 to 10 and 10 to 4
25 :10 and 10 : 4
25/10 = 10/4
5/2 = 5/2
Equal
d) 6 : 7 and 30 : 35
6/7 = 30/35
6/7 = 6/7
Equal
The pair of ratios that is not equal is
a) 72 : 64 and 27 : 4
Maribel deposited $1,500 in a new account at her bank. -The bank pays 4.5% annual simple interest on this account. -Maribel did not make any additional deposits or withdrawals. What is the balance of the account at the end of five years?
Answer:
1500+337.50 = $1,837.5
Step-by-step explanation:
You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
Where:
P is the principal amount, $1500.00.
r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:
The interest is: $337.50
If 1/a and a/2.23 are two real numbers included between 0 and 1, then a =
Answer: 2
Step-by-step explanation:
theres a chance i could be right
I need help because I was debating if it’s is 5 or 6
Answer:
it should be 5.5
Step-by-step explanation:
cross multiply and solve as an equation
Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell
Lee sold 16 hats.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost of 1 hat= $8
Cost of shirt = $12
Total cost of spirit wear= $272
let the number of hats sold be x
and, let the number of shirts sold be y
So, 8x+ 12y= 272
and, x+ y= 28
Solving the above equations we get
8(28- y) + 12y= 272
224 - 8y + 12y = 272
4y = 48
y = 12
and x= 28- 12 = 16
Hence, Lee sold 16 hats.
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Guys plz help Answer this Question!!!!!
Answer:
X intercept is (-40,0) why intercept is (0,15)
Step-by-step explanation:
youyou will be able to tell this by looking at the graph and counting where the points are
7(x + 4) = -21 what is x in this problem?
Answer:
-7
Step-by-step explanation:
7x+28=-21
7x=-49
x=-7
how much time will it take for the plane to land?
Answer:
Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes
The equation F= 9/5 C+32 relates temperature measured in degrees Celsius, C , to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.
Answer:
The relationship between F and C is proportional
Step-by-step explanation:
The relationship between Celsius and Fahrenheit temperatures is a direct proportionality. Both scales have their ice and steam points as well as their fundamental intervals.
When the temperature in Celsius increases, the temperature in Fahrenheit increases and vice versa.
Henry puts 19 candies in each gift bag. He uses 551 candies. How many gift bags did he fill?
Answer:
29
Step-by-step explanation:
551/19=29
Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D
Answer: D
Step-by-step explanation:
Whitney has £265 Nancy has £180 They each spend the same amount of money. Whitney has twice as much money as Nancy left now. How much money did they each spend?
Answer:
£95
Step-by-step explanation:
Given that:
Whitney's initial amount = £265
Nancy's initial amount = £180
Let amount each spent = x (amount is the same)
After spending Whitney has twice as much money as Nancy.
Amount spent by each?
(Whitney's initial amount - x) = 2(Nancy's initial amount - x)
265 - x = 2(180 - x)
265 - x = 360 - 2x
-x + 2x = 360 - 265
x = £95
Hence, they both spent £95
Which triangle shows the incenter at point A?
Answer: A, i think -_-
Write the equation in y=Mx+B
Answer:
y=2x-2
Step-by-step explanation:
y intercept is (0,-2) so that is b value. slope is 2 so that is your m value
ANSWER ASAP PLEASE AND SHOW YOUR WORK!!!!
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x)= x^3-2x
Answer:
f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
Step-by-step explanation:
We need to determine if the function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
[tex]f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)[/tex]
As f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. irenes car had 5.7 gallons in the 14-gallon tank on the coldest day of the year irene filled the tank with gas that cost $3.80 per gallon. How much did irene spend on gas?
Answer:
lkj l l /nkmpnok
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
find the circumference of each circle round to the nearest tenth
Answer:
7) 75.4 yd
8) 34.56 mi
6) 81.68 cm
Step-by-step explanation:
The formula of circumference is: circumference (C) = 2 * π * r
7) The radius = 12 yd
π = 3.14
We can solve for C:
C = 2πr
C = 2(3.14)(12 yd)
C = 75.4 yd
8) The radius = 5.5 mi
π = 3.14
Solve for C:
C = 2πr
C = 2(3.14)(5.5 mi)
C = 34.56 mi
6) The diameter is 26. The radius is one half of the diameter; so the radius is 13.
We can solve for C:
C = 2πr
C = 2(3.14)(13 cm)
C = 81.68 cm
Hope this helpsss <3
Answer:
7) 75.36 8)34.54 9)81.64
Step-by-step explanation:
you can find this by using the formula diameter times pi (for pi use 3.14) or the formula 2times pi times radius. and for the diameter just multiply the radius by 2.
What is the answer to 2/9 divided by 1/2?
Answer:
the answer is going to be 2 /9 times the reciprocal of 1/2 so the answer is 4/9
Answer:
4/9
Step-by-step explanation:
2/9 / 1/2
= 2/9 x 2/1
= 2x2 / 9x1
=4/9x1
=4/9
I need help with this
Answer:
First box:
1/8 of 5, 5 x 1/8, 5 divided by 8
Second Box:
8 divided by 5, 1/5 of 8,
Third Box:
5 x 8
Step-by-step explanation: