Answers
9514 1404 393
Answer:
b) -9.8t +18
Step-by-step explanation:
b) The instantaneous rate of change is the derivative of the height function. The power rule is separately applied to each term, and the results added.
power rule: d/dx(x^n) = nx^(n-1)
Then the derivative is ...
dh/dt = 2(-4.9t^1) +18(1 ·t^0)
dh/dt = -9.8t +18
__
If you haven't been introduced to derivatives as such, then you find the instantaneous rate of change by finding the average rate of change over a vanishing interval.
[tex]\dfrac{dh}{dt}=\displaystyle\lim\limits_{h\to 0}{ \dfrac{h(t+h)-h(t)}{h}}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{(-4.9(t+h)^2+18(t+h)+23)-(-4.9t^2+18t+23)}{h}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{-4.9(2th+h^2)+18h}{h}=\lim\limits_{h\to 0}{(-9.8t +18 -4.9h)}\\\\ \boxed{\dfrac{dh}{dt}=-9.8t +18}[/tex]
Related Questions
Solve for x: 16^2x + 1 = 128
38
83
4
43
Answers
Answer:
[tex]16^{2x}[/tex]+1=128
x=4
3.) Find the slope between the 2 points.
х
-2
-1
0
1
2
Y
-3
-1
1
3
5
Answers
-3-(-1)/-2-(-1) = 2
Slope formula:
m=y2-y1/x2-x1
Having some struggles
Answers
Answer:
I think it's 399
___
500
I hope it's well help you
Answer:
the answer is 149/500 :D hope this will help u
Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear
Answers
Answer:
C
Step-by-step explanation:
I only need 1 b. please no work needed thank you
Answers
Answer:
standard form is x^2-3x-4=0
which is a^2+bx+c=0
so the value of a=1 , b= -3 and c= -4
Can someone help me with a full math assignment about slope rate of change and stuff? i will give them brainliest answer too
Answers
Answer:
yes of course .
I will help you .
Solve for x
Solve for x
Answers
Answer:
23.1
Step-by-step explanation:
14/20*x/33
Cross multiply
14*33=20*x
462=20*x
462/20=x
23.1=x
Hope this helps :)
Answer:
According to the ratio of segments:-
[tex]\frac{20}{14} =\frac{33}{x}[/tex][tex]20x=14(33)[/tex]
[tex]20x=462[/tex]
[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP
Answers
4multiplyed by 4 is 16
can someone please help me with this
Answers
Answer:
The answer is about 13.7 for x
Step-by-step explanation:
Hope this helps.
Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC
Answers
Answer:
ASA
Step-by-step explanation:
another possible pair is ∠A and ∠B
so it makes it ASA
7x + 2y = 24
8x + 2y = 30
Answers
Answer:
x=6
so
6x7
42+ = 24/2
12-42
y=-30
Step-by-step explanation:
Use distributive property to rewrite each algebraic expression: 8(s + 5)
Answers
Answer:
8s + 40
Step-by-step explanation:
8*s = 8s
8*s = 40
8s + 40
Answer: The correct answer is 8s+40
Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.
Describe the differences in the graphs of linear functions vs. exponential functions.
A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
B. Linear functions cross the y-axis above exponential functions.
C. Linear functions slope down, while exponential functions slope up.
D. There is no
differhoice.
I’ll give brainiest
Answers
Answer:
It's A.
(Just finished the quiz) <3
The differences in the graphs of linear functions vs. exponential functions
is, A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
A function is an exponential function when the exponent is the variable.
The difference between a linear function and an exponential function is,
while exponential functions begin flat and gradually steepen, linear functions have a constant slope.
learn more about exponential functions here :
https://brainly.com/question/12260956
#SPJ2
who ever awnsers first get brainleist
Answers
Answer: 4 servings
Step-by-step explanation: If a serving of juice is 1/8 of the pitcher, we know that a full pitcher is capable of 8 servings, because 8 servings would be 8/8 of the picher, that is, the whole pitcher therefor 8 serivngs: 4 servings
The measure of angle 1 is 130°.
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
Which other angle must also measure 130°?
Answers
Answer:
The angle opposite angle 1
Step-by-step explanation:
Opposite angles have the same degree when two lines intersect because they are vertical angles.
Answer:
3
Step-by-step explanation:
How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?
Answers
Answer:
125%
Step-by-step explanation:
1.25 x 100% = 125%
Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.
Answers
Step-by-step explanation:
c²=a²+b²
a²=c²-b²
a²= 15²-9²=225-81=144
a=√144=12
sinΩ=a/c=12/15=4/5
cosΩ=b/c=9/15=3/5
tanΩ=a/b=12/9=4/3
Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2
Answers
Answer:
y=-2x+6
Step-by-step explanation:
y-4=-2(x-1)
y=-2x+6
Graph the equation y= 5x - 4
Answers
Answer:
the y intercept will be -4 and the slope would be 5
what form is the equation 12y=2x=24
Answers
Answer:
Step-by-step explanation:
Simplifying
12y + 2x = 24
Reorder the terms:
2x + 12y = 24
Solving
2x + 12y = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation.
2x + 12y + -12y = 24 + -12y
Combine like terms: 12y + -12y = 0
2x + 0 = 24 + -12y
2x = 24 + -12y
Divide each side by '2'.
x = 12 + -6y
Simplifying
x = 12 + -6y
x varies directly with
y. If x = 60 when
y = 75. find x when
y = 32.
Answers
Answer:
x=17
Step-by-step explanation:
Answer:
25.6
Step-by-step explanation:
find constant of variation ('k'):
y = kx
75 = 60k
k = 75/60 or 5/4
32 = 5/4x
cross-multiply:
5x = 128
x = 25.6
Can someone please help me will give brainlist
Answers
Answer:
yes
Step-by-step explanation:
start by solving for the missing value. all angles of a triangle should add up to 180. Subtract 31 adn 106 from 180 from the left side, you will get 43. Now do the same to the other side. 180 subtracted by 31 and 43 make 106. Thus, making the triangles the same. hope this helps
what is the distance between 0,4 and -1,-5
Answers
Answer:
y = −x + 4
Step-by-step explanation:
The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?
Answers
Answer:
-13 degrees tell me if it's right
Answer:
-13 is the answer
Step-by-step explanation:
because -5-8= -13
Find the value of x for brainliest
Answers
Answer:
x=27.5
Step-by-step explanation:
x/4=55/8
Cross multiply:
8x=220
Divide:
8x/8=220/8
x=27.5
How Many Miles please help me.
Answers
Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}
Answers
Answer:
The relation is a function.
Please help !!! I’m stuck
Answers
Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3
what is 9 1/6 - 2 3/4?
Answers
Answer:
6 5/16
Step-by-step explanation:
Hope this helped :)
The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10
Answers
Answer: Van: 10, Bus: 46
Step-by-step explanation:
Let the number of students in each van be represented by v.
Let the number of students in each bus be represented by b.
The question given can be formed into an equation as:
3v + 13b = 628 ...... i
9v + 2b = 182 ......... ii
Multply equation i by 9
Multiply equation ii by 3
27v + 117b = 5652 ........ iii
27v + 6b = 546 ....... iv
Subtract iv from iii
111b = 5106
b = 5106/111
b = 46
Bus = 46
Recall that 9v + 2b = 182
9v + 2(46) = 182
9v + 92 = 182
9v = 182 - 92
9v = 90
v = 90/9
v = 10
Van = 10