Answer:
N = 0.8
Step-by-step explanation:
3(n + 1) = 5.4
3n + 3 = 5.4
- 3 = -3
3n = 2.4
3n/3 = 2.4/3
N = 0.8
Use the position function s(t) = –4.9t2 + 500, which gives the height (in meters) of an object that has fallen for t seconds from a height of 500 meters. The velocity at time t = a seconds is given by the following.
lim t->a: (s(a) - s(t)) / (a - t)
Find the velocity of the object when t = 3. (Round your answer to two decimal places.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]v(3) = 29.4 \ m/s[/tex]
Step-by-step explanation:
From the question we are told that
[tex]s(t) = -4.9t^2 + 500[/tex]
And
[tex]\lim_{t \to a} \frac{s(a) - s(t)}{a-t}[/tex]
Generally s(t) at t = a is mathematically evaluated as
[tex]s(a) = -4.9a^2+ 500[/tex]
So
[tex]s(a) - s(t) = -4.9a^2 + 500 - ( -4.9t^2+500)[/tex]
[tex]s(a) - s(t) = -4.9a^2 + 500 +4.9t^2-500)[/tex]
[tex]s(a) - s(t) = 4.9(t^2 - a^2)[/tex]
Thus the velocity is represented as
[tex]v(t) =\lim_{t \to a} \frac{s(a) - s(t)}{a-t} \equiv \lim_{t \to a} \frac{4.9(t^2 - a^2 )}{ a-t}[/tex]
=> [tex]v(t) = \lim_{t \to a} - 4.9(a + t )[/tex]
=> [tex]v(t) = -4.9 (a + a )[/tex]
=> [tex]v(t) = -9.8a[/tex]
Now at t = 3
=> [tex]v(3) = -9.8 (3)[/tex]
=> [tex]v(3) = 29.4 \ m/s[/tex]
One-third of a number decreased by four
Answer: (X/3)*4
Step-by-step explanation:
(1/3)*x
decreased by 4: (1/3)*x-4
If a woodchuck could chuck 2
pieces of wood every hour, how big is a beavers dam?
Answer:
How many hours?
Step-by-step explanation:
the answer to this is 2x
X is the number of hours and you multipy it by 2 wood
Solve for y. 6 x + 2y = z
Answer:
[tex]y = \frac{z}{2} -3x[/tex]
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
& is the order of operation.
First, subtract 6x from both sides:
6x (-6x) + 2y = z (-6x)
2y = z - 6x
Next, divide 2 from both sides:
(2y)/2 = (z - 6x)/2
y = (z - 6x)/2
y = (z/2) - 3x
[tex]y = \frac{z}{2} -3x[/tex] is your answer.
~
twice this number is 1 less than half of 26
Answer:
2x = (1/2)(26) - 1
The number is 6.
Step-by-step explanation:
2x = (1/2)(26) - 1
2x = 13 - 1
2x = 12
x = 6
52=4z
HELP PLS ILL MARK BRAINLIEST
Answer:
Z- 13
Step-by-step explanation:
Divide 52 by 4
[tex]52 \div 4 =13[/tex]
3x+2y=4 solve for y?
The given equation term of y is, y=(3/2)x-2.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation in the problem is;
3x+2y=4
To solve the given equation for y first rearrange the equation and put the y variable on the left-hand side as;
2y=3x-4
Divide the whole equation by 2 we get;
y=(3/2)x-2
Hence, the given equation term of y is, y=(3/2)x-2.
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y varies inversely with x. If y = 5 when x = 60, find y when x = 150
Answer:
y =2 when x = 150
Step-by-step explanation:
Inverse variation is
xy = k
5*60 = k
300 = k
xy = 300
150y = 300
Divide by 150
150y/150 = 300/150
y = 2
Rosa is currently x years old. In 28 years, Rosa will be 3 times the age she is now. Which equation can be used to find Rosa's age?
Answer:
multiple 28 and 3 u will get the answer
Step-by-step explanation:
I think It will help you
sita purchased 100 pencils of rs600. when she sold all the pencils she lost 20%. find the selling price of each pencils.
Answer:
rs480
Step-by-step explanation:
100%=r600 100%-20%=80%
80%=x
80 x 600 =48000
[tex]\frac{48000}{100}[/tex]=480
Open the line segment translation application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line segment AB. Are line segments AB and CD the same? What does this mean about how a line segment changes when you translate it?
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
Step-by-step explanation:
Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original.
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
this should be your answer
Name 3 rays in this geometric construction
E
A
D
B
Your answer
This equation will be in standard form if you subtract 6x2 from
both sides, add 30 to both sides and subtract ex from both
sides.
6x2 + 2x - 30 = 4x2 +9x
A.True
B.False
The answer to it is true
I get paid $40 a month. If i want 5 less each month, how much should i get paid every week?
Answer:
$5 each week
Step-by-step explanation:
$40 a month
$10 a week
$10-$5 is $5 each week
If you want to be paid $5 less, then every month you will be paid $35
There the amount that you get paid every week will be:
35 ÷ 4 ( 1 month have 4 weeks )
= $8.75
The sum of all of the exterior angles of an octagon is:
Answer:
the answer is 360 degrees
Step-by-step explanation:
A chocolate company makes chocolate malt balls that have a radius of 0.34
inches. The carton they are to be packed in is approximately a rectangular prism with
dimensions 1.5 inches by 2.5 inches by 6 inches. How many malt balls will fit in the
carton
Answer:
Approximately 141 malt ballsStep-by-step explanation:
this problem is on the mensuration of solids shapes.
first we need to calculate the volume of the rectangular prism
volume of prsim= l*b*h
given that
length= 1.5 in
breath=2.5 in
hieght= 6 in
volume= 1.5*2.5*6
volume=22.5 in^3
secondly we then calculate the volume of a malt ball
given that
raduis r= 0.34
volume of sphere = 4/3πr^3
volume of sphere = 4/3*3.124*(0.34)^3
volume of sphere = 1.33*3.142*0.039
volume of sphere = 0.16 in^3
now we can calculate the amount of sphere that can fit into the prism as
= volume of prism/volume of sphere
= 22.5/0.16
=140.6
approximately 141 malt balls
Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number.
Answer:
[tex]\frac{1}{w^{29}}[/tex]
Step-by-step explanation:
The given expression is [tex]\frac{w^{-7}(w^{-9})^2}{w^4}[/tex].
Since, [tex]w^{-7}=\frac{1}{w^7}[/tex]
And [tex]w^{9}=\frac{1}{w^9}[/tex]
Expression will become,
[tex]\frac{w^{-7}(w^{-9})^2}{w^4}=\frac{\frac{1}{w^7}(\frac{1}{w^9})^2}{w^4}[/tex]
[tex]=\frac{\frac{1}{w^7\times w^{18}}}{w^4}[/tex]
[tex]=\frac{\frac{1}{w^{(7+18)}}}{w^4}[/tex]
[tex]=\frac{1}{w^{25}}\times \frac{1}{w^4}[/tex]
[tex]=\frac{1}{w^{25}\times w^4}[/tex]
[tex]=\frac{1}{w^{29}}[/tex]
Therefore, Simplified form of the given expression will be [tex]\frac{1}{w^{29}}[/tex].
(30 points) the line contains the point (5,-7) and is parallel to 4x+ 3y =-9 The equation of the line is:
Answer:
4x +3y = -1
Step-by-step explanation:
To find the new constant for the equation, use the given x- and y-values:
4(5) +3(-7) = 20 -21 = -1
The equation of the parallel line in standard form is ...
4x +3y = -1
Which set of numbers could be the side lengths of a right triangle?
A. 3,4,6
B.4,5,7
C. 5, 12, 13
D. 7. 20, 21
E. 8, 15, 16
Solve for m.
7
D= (m - 64)
2
==
=(D-64)2
We move all terms to the left:
-((D-64)2)=0
We calculate terms in parentheses: -((D-64)2), so:
(D-64)2
We multiply parentheses
2D-128
Back to the equation:
-(2D-128)
We get rid of parentheses
-2D+128=0
We move all terms containing D to the left, all other terms to the right
-2D=-128
D=-128/-2
D=+64
2. A stock price rose 2.2 points in
Week 1. The stock price fell 5.4
points in Week 2. Write and solve
an equation to represent the total
price change in stock.
Answer: the total price change in stock is fall of 3.2 points or -3.2 points.
Step-by-step explanation:
In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .
Given: A stock price rose 2.2 points in Week 1.
i.e. +2.2 points rise.
The stock price fell 5.4 points in Week 2.
i.e. fall of -5.4. (Much greater, than it rose)
The equation to represent the total price change in stock would be
Total price change = price rose in Week 1 + price fell in Week 2.
= [+2.2 + (-5.4)] points
= 2.2 - 5.4 points [ (+)(-) = (-)]
= -3.2 points
Hence, the total price change in stock is fall of 3.2 points.
The sum of all of the exterior angles of an octagon is:
Answer:
1080°
Step-by-step explanation:
sum = 180 ( n - 2)
note that octagon has 8 sides
therefore
sum = 180 ( 8 - 2)
sum = 1080°
Answer:
c. 1080
Step-by-step explanation:
= 180 x ( 8 - 2)
= 1080
Helppppppppppppp0ppppppp
A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected.
(a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?
Answer:
Step-by-step explanation:
Given that:
population mean = 10
variance [tex]\sigma^2[/tex] = 25 ; [tex]\sigma[/tex] =[tex]\sqrt{ 25}[/tex] = 5
sample size n = 28
The standard deviation of the sample mean:
= [tex]{\dfrac{5}{\sqrt{28}}[/tex]
= 0.95
To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:
[tex]\dfrac{sd_1}{sd_2} = \dfrac{\dfrac{\sigma}{\sqrt{n}} }{\dfrac{\sigma}{\sqrt{n}} }[/tex]
[tex]\implies \dfrac{\dfrac{5}{\sqrt{28}} }{\dfrac{5}{\sqrt{28}} }[/tex]
[tex]= \dfrac{5}{\sqrt{28}} \times \dfrac{\sqrt{28}}{5}[/tex]
= 2
n = 4 × 28
n = 112
The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
A normal population has a mean of 10 and a variance of 25.
A random sample of sizes n-28 is selected.
A. The standard deviation will be
[tex]\sigma = \dfrac{\sqrt{Var(x)}}{n} \\\\\sigma = \dfrac{\sqrt{25}}{\sqrt{28}} \\\\\sigma = 0.95[/tex]
B. The sample be if you want to halve the standard deviation of the sample mean
[tex]\rm \dfrac{SD_1}{SD_2} = 2 = \dfrac{\sqrt{n}}{\sqrt{28}}\\\\n = 4*28 \\\\n= 112[/tex]
More about the standard deviation link is given below.
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How many days are in a week ?the answer is measured in the
Answer:
7 days are in a week. 5 week days, 2 days for the weekend hope this helps.
33 points!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is
Answer:
y=mx+b
y=-2/3x+2
Step-by-step explanation:
-2/3=slope
x= y coord.
Miles traveled, miles to go, fill in the “?”
Answer:
The blank is 170
Step-by-step explanation:
The ratio from miles traveled to miles to go is 1:-1
520-0=520
520-100=420
520-200=320
520-350=170
520-520=0
Someone please help me ❤️
Answer:
week 5!
Step-by-step explanation:
Answer:
yes, week 55️⃣
Step-by-step explanation:
just see the little blue points
How do you do this question?
Step-by-step explanation:
Use the first fundamental theorem of calculus.
∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0
find the absolute value of -0.909?
0.909 is the absolute value of -0.909
What is Number system?A number system is defined as a system of writing to express numbers.
The given number is a decimal number
-0.909
Minus zero point nine zero nine
We need to find the absolute value of -0.909
Absolute value of a Decimal is its numeric value without its sign
The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
0.909 is the absolute value of -0.909
Hence, 0.909 is the absolute value of -0.909
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