Answer:
49 ft
Step-by-step explanation:
h=−16(t−14)^2+49
The path of the marshmallow is an inverted parabola. It has symmetry with respect to its vertical axis.
We take the derivative of the height function.
dh/dt = -32(t - 14)
dh/dt = -32t + 448
We set the derivative equal to zero ti find the value of t corresponding to a maximum value of h.
-32t + 448 = 0
-32t = -448
t = 14
Maximum height occurs at t = 14 seconds.
h=−16(t−14)^2+49
t = 14
h=−16(14−14)^2+49
h = 49
Maximum height is 49 feet.
i need help please :(
Answer:
B
Step-by-step explanation:
Recall the product property of exponents, where:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
In our expression, x is 3, a is -8, and b is 4. Thus:
[tex]3^{-8}\cdot 3^{4}=3^{-8+4}[/tex]
Add in the exponent.
[tex]=3^{-4}[/tex]
So, our answer is B.
And we're done!
6. Solve for "X" in the following equation. X - 12 = 36
A x = 58
B x = 14
CX = 48
D X = 24
Answer:
Option C
Step-by-step explanation:
[tex]x-12=36\\\\x-12+12=36+12\\\\\boxed{x=48}[/tex]
Hope this helps.
If DE=23, EF=9, find the value of DF.
Answer:
df=23+9=32
EF=78-52=26
Step-by-step explanation:
DE=23, EF= 9
DF=DE+EF
df=23+9=32
2)DF=DE+EF
78=52+EF
EF=78-52=26
The power generated by an electrical circuit (in watts) as a function of its current c cc (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8) What is the maximum power possible?
The maximum power is 4A.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The given function
P(x) = - 15x (x-8)
P(x) = - 15x² + 120x
The standard form of a quadratic function is:
y = ax² + bx + c
For which x is the maximum of the parabola
x = - b/2a
So, a = -15 and b = 120.
Then, x = - 120/(2 · (-15))
x = - 120/ (-30)
x = 4A
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Please Help! Answer the question on this picture!
Answer:
it dilated by two
Step-by-step explanation:
How does a tree feel after a hard day at work?
(Math question. It one of those math riddles where you have to answer a bunch of problems to decode the answer)
Simplify the expression completely.
-3V24 - V.
Answer:
-V (3 V^23 + 1)
Step-by-step explanation:
Simplify the following:
-3 V^24 - V
Factor -V out of -3 V^24 - V:
Answer: -V (3 V^23 + 1)
what is 42,456 divided by 36 also what is 7,456 divided by 215 please do in step by step
Answer:
1179 rem 12
36 /42456
36_
64
-36_
285
-252_
336
-324_
12*
this is for number 1
_ are where you put lines under the number to do the subtraction
Which number in the group below is the largest? -12, -11, -9, -5, -15
Answer:
The largest is -5
Step-by-step explanation:
This is because when dealing with negatives, the closer to the zero, the larger the number.
Answer:
-5
Step-by-step explanation:
-5, because numbers that are closer to zero are larger than others that are farther away from 0.
These are the numbers in order from least to greatest: -15, -12, -11, -9, -5
How do I solve -2x +6-(-5) +5x
Answer:
3x+11
Step-by-step explanation:
-2x +6-(-5) +5x
-2x+11+5x
3x+11
To encourage public transportation, Ronny wants to give some friends envelopes with bus tickets and subway tickets in them. If he has 18 bus tickets and 12 subway tickets to split equally among the envelopes and wants no tickets left over, what is the greatest number of envelopes Ronny can make?
Answer:
6 enevlopes
Step-by-step explanation:
18 divided by 6 equals 3
12 divided by 6 equals 3
hope this helps you :)
Which value would make the statement true? StartFraction 2 Over question mark EndFraction greater-than StartFraction 4 Over 12 EndFraction 4 6 12 24
Answer:
4
Step-by-step explanation:
Given the expression 2/? > 4/12, to find the value of ? that will make the expression true, we will cross multiply first
On cross multiplying:
2×12 > 4 × ?
24 > 4 × ?
Divide both sides by 4
24/4 > 4×?/4
6 > ?
This means that ? < 6
The answer will be a value that is less than 6. According to the option, the only value less than 6 is 4. Hence the correct answer is 4.
Answer: 4
Step-by-step explanation:
22
O Rational
0 Irrational
Is it rational or irrational
Answer:
22 is irrational I think
Answer:
22 is a Rational number
Step-by-step explanation:
All integers, whole numbers and natural numbers are rational numbera
Brandy borrowed $12,500 from her dad and made an agreement to pay him back over 4 years at an annual simple interest of 3%. What is the TOTAL amount she will pay her dad back over the 4 years?
Answer:
1400 if not compounded
Step-by-step explanation:
12500x.03
Answer:
14,000
Step-by-step explanation:
Step 1:
- 12,500x0.03=375
- 375x4=1500
1500 is the interest amount
but it's asking for the total so
Step 2:
- 12500+1500=14,000
- 14,000 is the TOTAL account balance.
the volume of a gas varies inversely as the pressure on it. if the volume is 240 cm^3 under a pressure of 30 kg/cm^2, what pressure must be applied to have a volume of 120cm^3
Answer:
V varies 1/P.
V=K/P.
K=VP.
K=240×30.
=7200.
Therefore 7200=VP.
so.....
7200=120P.
P=7200/120.
P=60kg/cm^2.
2 1/2 - 4 1/4 any one know what this answer is please help
Answer:
=5/2 - 17/4
=10/4 - 17/4
= -7/4
........................
Explain the difference between the associative addition and the commutative addition
Answer:
Associative states you can regroup numbers and you will get the same answer and the commutative property states that you can move numbers around and still have the same answer.
Example:
Commutative a+b=b+a
Associative a+ (b+c) = (a+b) +c= a+b+c
Answer:
what that person said lol.
look at the picture that is attached
help me plz
Answer:
x² = 30 - (y-5)²
x² = 30 - [y² - 10x + 25]
x² = 30 - y² + 10x - 25
x² = -y² + 10x + 5
B
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y? Enter your answers in the boxes.
Answer:
=7x+2y+4
Step-by-step explanation:
Answer:
7x+2y+4
Step-by-step explanation:
combine like terms:
8x-x=7x
-2y+4y=2y
3+1=4
so the simplified form of the equation is 7x+2y+4
Which statement best describes the zeros of the function h(x) = (x-4)2(x - 7x + 10)?
Answer:
where are the options
Step-by-step explanation:
Answer: The answer is THE FUNCTION HAS THREE DISTINCT REAL ZEROS
Step-by-step explanation:
I’m pretty sure I still need to check if I got it right
What is the answer for -4-(7t-4)^2=-49
t₁ = (3√5 + 4)/7
t₂ = -(3√5 - 4)/7
Step-by-step explanation:- 4 - (7t - 4)² = - 49
- (7t - 4)² = - 49 + 4
- (7t - 4) = - 45 | (-)
(7t - 4)² = 45
(7t - 4)² = 3√5
7t - 4 = ± 3√5
7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7The perimeter of a rectangular window is 104 ft. The length is three times the width. Write a equation and solve for the width.
Answer:
L2 + W2 = P
L = 3W
2(3W) + 2W = 104
6W + 2W = 104
8W = 104
W = 13
Step-by-step explanation:
perimeter is 2 times length plus two times width.
add these togethter to get 104 (the given number)
then create an equation to find length based on the given number
simplify and find w.
Answer: width = 13 ft
Step-by-step explanation:
Perimeter (P) = 2 × Length (L) + 2 × width (w)
Given: P = 104, L = 3w
P = 2L + 2w
104 = 2(3w) + 2w
104 = 6w + 2w
104 = 8w
13 = w
Solve for t in terms of q, r, and s.
S = rqt
T=
The solution is: the value of x, and the angles m∠SQT and m∠RQS are:
x = 23, m∠RQS = 72°, m∠SQT = 83°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
Hence, The solution is: the value of x, and the angles m∠SQT and m∠RQS are: x = 23, m∠RQS = 72°, m∠SQT = 83°.
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complete question:
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
Solve equations
12 + b = 42
M - 12 = - 16
-224= 4 x
-3= b over 12
V over 4 = 12
2( n+ 3)=- 12
-3+ x over 5 =-8
-2= x+2 over 6
2(n+6)=-8
-3 x-20= -155
Answer:
I wasn't sure on the last two but I got the rest.
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width? A yard with a length of 30 feet and a width of (30 minus x) feet. Which equation represents the scenario? 30 + (30 – x) = 540 540 – 30 = 30 – x 30(30 – x) = 540 540 – (30 – x) = 30 : Please Help
Answer:
I got this answer from the comments and it was correct so the correct answer is C.
Step-by-step explanation:
Ty cco713.
The equation that represents the scenario is 540 = 30(30 - x)
Area of a rectangleA rectangle is a 2-D shape with 4 sides.The formula for calculating the area of the rectangle is expressed as:
A =lw
where:
l is the length
w is the width
Given the following parameters
l = 30ft
w = 30 - x
A = 540
Substitute
540 = 30(30 - x)
Hence the equation that represents the scenario is 540 = 30(30 - x)
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Which number sentence states that x is at most 50?
A. x < 50
B. x < 50
C. x = 50
D.x > 50
E. x > 50
idk this one is kind of confusing me
Answer:
its A & B, x<50
Step-by-step explanation:
atmost means till 50.
atleast means more than 50.
The number sentence that states that x is at most 50 is option B: x ≤ 50.
In mathematical notation, the symbol "≤" means "less than or equal to." So, x ≤ 50 translates to "x is less than or equal to 50."
This means that x can be any value that is less than 50 or exactly 50.
Option A (x < 50) would mean "x is less than 50," excluding the value 50 itself.
Option C (x = 50) would mean "x is equal to 50," but it doesn't include any values less than 50.
Option D (x > 50) would mean "x is greater than 50," excluding the value 50 itself.
Option E (x ≥ 50) would mean "x is greater than or equal to 50," which includes values greater than 50, but it doesn't allow any values less than 50.
So, the correct choice to state that x is at most 50 (including the value 50) is option B: x ≤ 50.
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4n - 9 = 2(5 + 2n).
Answer:
no solution
Step-by-step explanation:
start by
distributing the 2 on the right side of the equation
you should get 4n-9=10+4n
then you should try to combine like terms, start by subtracting the 4n on the left side from the one on the right
both of those should cancel out
leaving you with -9=10, which is obviously false, meaning there is no solution
I think it’s no solution.
n – 8 = 16 in a verbal sentence
Answer:
N minus eight equals sixteen.
Step-by-step explanation:
Show that cos3(B)+cos(B)sin2(B) = 1 sin(B)cos2(B)+sin3(B) tan(B)
Answer:-90
Step-by-step explanation:
Translate the phrase into an algebraic expression, then simplify.
The sum of -23 and 9,
Answer:
69
Step-by-step explanation: