Answers
Answer:
27.
Step-by-step explanation:
If x >= 4 then f(x) = 5x - 3.
So, as 6 is greater than 4 we have
f(6) = 5(6) - 3
= 30 - 3
= 27.
Related Questions
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.)
Answers
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]
Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who’s
square root is an even number.
Answers
Answer: The answer is c. To square a number is to divide the number by 2.
Step-by-step explanation:
What is the solution to the equation?
{+55 - 466
{+55 = 466
O [+55-55-466+55
f=521
+55 = 466
O +55+55-466+55
{ = 521
(+55 = 466
O +55-55-466-55
f=411
f+55 = 466
Of+ 55+55-466-55
f = 411
Answers
Answer:
f=55=466
f+55-55=466-55
Step-by-step explanation:
Find the solution of the term.
I am a pair of numbers and my product is 1, what am I?
Answers
Answer:
Step-by-step explanation:
How I Al's have doubts
How many days are in a week ?the answer is measured in the
Answers
Answer:
7 days are in a week. 5 week days, 2 days for the weekend hope this helps.
Where is the point of intersection? x − 2y + 2 = 3 and x − y = 3
Answers
Answer:
Step-by-step explanation:
x -2y = 1
x - y = 3
x - 2y = 1
-x + y = -3
-y = -2
y = 2
x - 2 = 3
x = 5
(5, 2)
y< 4 3 x+3 y≤−2x−1 Which graph represents the system of inequalities?
Answers
Answer:
Don't see any graphs
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
Rewrite with positive exponents a^-3 b^-5
Answers
Answer:
1/a^3 and 1/b^5
Seven times the sum of 4 and some number is 42
Answers
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]7\times{(4+x)}=42[/tex]
Divide both sides by 7:
[tex]4+x=42\div{7}\\4+x=6[/tex]
Subtract 4 from both sides:
[tex]x=6-4\\x=2[/tex]
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
Answers
Answer:
y=mx+b
y=-2/3x+2
Step-by-step explanation:
-2/3=slope
x= y coord.
The inventory of a restaurant needs replenishing of its supply of apples. The food supplier charges $7/bag of apples. The restaurant needs a 30 day-supply. If the restaurant uses 2 bags of apples per day, how much will it cost for a 30-day supply?
(You do not need to include the units. You only need to enter your answer as a number.)
Answers
and if the charge for a bag is $7, then multiply 7 times your total number of bags (7x60) for the cost.
the answer should be $420
The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable value of $22,000. The tax code allows you to depreciate this van by $1900 per year. Find a formula that gives the taxable value T, in dollars, of the van after n years of depreciation.
Answers
Answer: T = 22,000 - 1,900n
Step-by-step explanation:
Taxable value is $22,000
The tax code allows for the depreciation of this van by $1,900 per year.
After n years therefore the total depreciation is;
= 1,900 * n
This depreciation will need to be removed from the taxable value of $22,000 to find out the taxable value left.
Formula is therefore;
T = 22,000 - 1,900n
Miles traveled, miles to go, fill in the “?”
Answers
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
Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number.
Answers
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].
Determine whether the equation is always, sometimes, or never true.
2/3 x + 4 = 2x
Answers
Answer:
Always true
Step-by-step explanation:
Given
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Required
Determine its type of solution
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Collect Like Terms
[tex]2x - \frac{2}{3}x = 4[/tex]
Take LCM
[tex]\frac{6x - 2x}{3} = 4[/tex]
[tex]\frac{4x}{3} = 4[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{4x}{3} * \frac{3}{4}= 4 * \frac{3}{4}[/tex]
[tex]x = 4 * \frac{3}{4}[/tex]
[tex]x = 3[/tex]
Hence, the equation is always true for x = 3
The sum of all of the exterior angles of an octagon is:
Answers
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
7k-k+19 Combine like terms
Answers
Step-by-step explanation:
7k-k+19
6k+19 should be fine
Steps to solve:
7k - k + 19
~Combine like terms
6k + 19
Best of Luck!
Ellie drives 22.5 miles in 45 minutes. If she drove three hours in total at the same rate, how far did she go?
Answers
Answer:
90
Step-by-step explanation:
3 hours = 180 mins
180 ÷ 45 = 4. so Ellie will drive 4x more miles in 3 hours.
22.5 × 4 = 90
What is the product of (5/5)(614) ? Simplify your answer.
Answers
Answer:
614
Step-by-step explanation:
5/5 is just 1 because 5÷5=1
1 multiplied by 614 = 614
Hope this helped!
order the number from greatest to least
3 1/3,3.34,300%
Answers
Answer:
3.34, 3 1/3 300%
Sorry if I’m wrong
A carpenter sands of a dresser in hour. At this rate, how long does it take the
carpenter to sand 1 dresser?
o hour
o hour
O 1 hours
O 23 hours
Answers
Question:
A carpenter sands 1/2 of a dresser in 3/4 hour. At this rate, how long does it take the carpenter to sand 1 dresser?
Answer:
[tex]1\ dresser = \frac{3}{2} hour[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2} dresser = \frac{3}{4} hour[/tex]
Required
How long will it take to sand 1 dresser
[tex]\frac{1}{2} dresser = \frac{3}{4} hour[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2} dresser = \frac{3}{4} hour * 2[/tex]
[tex]1\ dresser = \frac{3}{4} hour * 2[/tex]
[tex]1\ dresser = \frac{3}{2} hour[/tex]
Hence;
It'll take 3/2 hour to sand 1 dresser
Answer:
Step-by-step explanation:
hey babe
Evaluate the expression when c=-6.
c? +6c+5
Answers
Answer: -31
Step-by-step explanation: 1.) Plug in -6 for c
2.) equation will then be: 6(-6)+5
3.) use PEMDAS: multiply first then addition
4.) 6(-6) equals -36
5.) add -36+5 which equal -31
Therefore your answer should be -31
Explanation:
Someone help
Plssssssssssssssssssssssssss
Answers
-2.5 + d = -3.6 What is the sum?
Answers
Answer:
-1.1
Step-by-step explanation:
we take -3.6 minus -2.5
which we get -1.1 hav a nice day :]
Answer:
d = -1.1
Step-by-step explanation:
-3.6 - ( -2.5) = -1.1
Solve −5x = 30 a.) 6 b.) -6 c.) 25 d.) 35
Answers
Employee Time Card
DATE
IN
OUT
IN
OUT
HOURS
Sun.
Mon.
7:00 AM
11:00 AM
12:00 P.M.
a.
4:04 PM
3:59 P.M.
Tue.
7:05 AM
11:55 PM
b.
Wed.
7:01 AM
11:10 AM
10:59 AM
10:55 AM
12:05 PM
C.
Thur.
6:59 AM
3:58 P.M.
4:03 P.M.
3:49 PM
12:01 PM
12:02 PM
d.
Fri.
6:55 AM
11:01 AM
e.
Sat
TOTAL HOURS
Answers
In most jobs, the employees round up so that would make it 32 hours.
32x7.50= 240
If they wanted to be technical you could do 31.57x7.5 and that would make it 236.78
It’s up to you which one you go with
Answer:
31 hours 57 minutes.
In most jobs, the employees round up so that would make it 32 hours.
32x7.50= 240
If they wanted to be technical you could do 31.57x7.5 and that would make it 236.78
It’s up to you which one you go with
Step-by-step explanation:
Solve : 3x – 4 = 2(x-1)
Answers
Answer:
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
3x-4=2(x-1)
=>3x-4=2x-2
=>3x-2x=-2+4
=>x=2
What are the coordinates of G, H, and I after a rotation about (0,0) by 90 degrees clockwise? Thank you.
Answers
Answer:
Ok, when we have a point (x, y) and we do a rotation of 90° the new points will actually depend on the quadrant where we are, but it will always change the order to (y, x) but this does not end here, because depending on the quadrant where the point ends, the signs will change as follows.
1st quad (+y, +x)
2nd quad (-y, +x)
3rd quad (-y, -x)
4th quad (+y, -x)
So if we are in the second quadrant, the transformed point will be in the first quadrant
Now, we have that the points G and H are:
G = (-1, 3)
This point is in the second quadrant, so it moves to the first quadrant (where bot values must be positive).
The new point will be:
G´ = (3, 1)
And the other point is:
H = (-4, 0)
It also rotates to the first quadrant, so the new point will be:
H' = (0, 4)
Answer:
Because the person above already explained I’ll just give the answers.
Step-by-step explanation:
G = (-1,3) H = (-4,0) I = (3,-2)
What is $12.78 rounded to the nearest dollar?
Answers
Answer:
$13
Step-by-step explanation:
[tex]\$12.78 = \$13[/tex]
Answer:$13
Step-by-step explanation:
.7 rounds to 1 if it is 5 or above it rounds up
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
Answers
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