Answer:
its basically just rate of change or slope. with derivatoves you can find the slope of a tangent line which is a line that touches the curve at a point.
What are the coordinates of the point on the directed line segment from (−5,−9) to (-1, 7) that partitions the segment into a ratio of 5 to 3?
Answer:
(-2.5,1)
Step-by-step explanation:
Let the point be (m, n). Using section formula we have
m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5
n=(5*(7)+3*(-9))/(5+3)=1
Clifton drove for 3 hours at 52 mph. How fast must he drive during the next hour in order to have an average speed of 55 mph?
Answer:
64 mph
Step-by-step explanation:
Given that:
Speed for the first 3 hours = 52 mph
Average speed for 4 hours = 55 mph
To find:
Speed for the next hour = ?
Solution:
Formula for average speed is given as:
[tex]Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}[/tex]
Formula for Distance:
[tex]Distance =Speed \times Time[/tex]
Distance traveled in first 3 hours:
[tex]Distance =52\times 3 = 156\ miles[/tex]
Let the speed for the next hour = u mph
Distance traveled in 1 hour = [tex]u \times 1 = u\ miles[/tex]
Total distance traveled = (156 + u) miles
Total time = 4 hours
Average Speed = 55 mph
Putting the values in formula:
[tex]55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }[/tex]
So, the answer is: 64 mph
Simplify each of the following, giving your answers with positive indices. f⁴÷f³×f
Answer:
The answer
f^2
Step-by-step explanation:
So first we write down the expression
f^4/f^3 x f
now we follow the BODMAS
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subraction
________________________________________
So this in equation (f^4/f^3 x f) we have to first divide. So in algebra when dividing, we have subtract the number.
Here
f^4-3 = f
so now we are left
f x f
when you times sometimes by itself we call it squared so you write it as
= f^2
Anyone who can help me with this?
Answer:
C
Step-by-step explanation:
We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.
l+(l+4)/2
2l+4/2
l + 2
Best of Luck!
Answer:
C
Step-by-step explanation:
say your 5 consecutive numbers are 6-10
if 6 is l and 10 is g then
6+10 over 2 equals 8
this proves that l+2 is correct since 6+2=8
ASAP PLZ ANSWER 50 POINTS How do I determine if -3x+y =8 is a function?
Answer:
To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).
Step-by-step explanation:
Answer:
graph
Step-by-step explanation:
did you mean in graph
Combine like terms in the given polynomial. Then, evaluate for x = 4, y = – 2.
xy – 2xy + 3x2 y — 4x y2 + 2xy2
3x2 y + 2xy2 – xy; – 56
C - xy – 2xy2 + 3x2y; – 56
Cx? y2 – 2; 62
C
– 2x y2 + 3x2y – xy; – 120
Need explanation please
Answer:
- 2 x y^2+3 x^2 y -xy
-120
Step-by-step explanation:
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
Combine like terms
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
- x y+3 x^2 y - 2 x y^2
Let x = 4 y = -2
-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2
Exponents first
-(4)(-2) +3(16) (-2) -2(4)(4)
Multiply
+8 -96-32
Add and subtract
-120
Evaluate the expression
Answer:
3
Step-by-step explanation:
(5x -2y) / y
Let x = -4 and y = -4
(5*-4 - 2*-4) / -4
(-20 +8) / -4
-12/ -4
3
Hey there!
5x - 2y / y
= 5(-4) - 2(-4) / -4
5(-4)
= -20
(2)(-4)
= -8
= -20 - (-8) / -4
= -20 + 8 / -4
-20 + 8
= -12
= -12 / -4
= 3
Therefore, your answer is: 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
In 2002, the population of a district was 22,800. With a continuous annual growth rate of approximately 5% what will the population be in 2012 according to the exponential growth function?
Answer:
37,139
Step-by-step explanation:
Given the following :
Population in 2002 = Initial population (P0) = 22,800
Growth rate (r) = 5% = 0.05
Growth in 2012 using the exponential growth function?
Time or period (t) = 2012 - 2002 = 10years
Exponential growth function:
P(t) = P0 * (1 + r) ^t
Where P(t) = population in t years
P(10) = 22800 * (1 + 0.05)^10
P(10) = 22800 * (1.05)^10
P(10) = 22800 * 1.62889
P(10) = 37138.797
P(10) = 37,139 ( to the nearest whole number)
Which of the following is true about these similar triangles?
A. AB/BC = DE/DF
B. AB/BC = DE/EF
C. AB/BC = BC/DF
D/ AB/BC = BC/AB
Answer:
B
Step-by-step explanation:
You have to match up the corresponding sides in the 2 triangles
The sides you have to find are AB/BC
The side that corresponds to AB in triangle DEF is DE
The side that corresponds to BC is EF
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
[tex]5^{-3}[/tex] rewrite as an equivalent expression
Answer:
the equivalent equation of
[tex]5^{-3}[/tex]=[tex]\frac{1}{5^{3}}=\frac{1}{125}[/tex]
Which is the simplified form of r to the negative 7th power plus s to the negative twelve
Answer:
1/r^7 + 1/s^12
Step-by-step explanation:
Since there is a negative exponent, the term becomes a fraction. As we do not know the value of the term, it remains in its variable form with a positive exponent
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew
Is this right answer??????………
Answer:
6 is correct....
actually this problem is quite si,p;e to see that it is correct
notice that the length of the triangle is 4 and the height is 3
thus a rectangle 4*3 area is twelve ...
if you make a copy of the triangle and flip it you will see it makes
a 4x3 rectangle ... the original and copy = 12 thus 1/2 of the 12 is the area of the original triangle
Step-by-step explanation:
In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?
Answer:
2/5
Step-by-step explanation:
The fraction that play basketball is the number that play basketball over the total
14/35
Divide the top and bottom by 7
2/5
cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC
Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:
AM là trung tuyến của t/giác ABC nên M là trung điểm BC:
=> BM =BC/2 =6:2=3(cm)
Xét tam giác AMB vuông tại M
AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)
The slope of a line parallel to y=-1/2x+1 is:
A. 2.
B. -1/2.
C. 1.
Answer:
-1/2. The slope of a line parallel to another line will be the same. Using the slope-intercept form formula, y=mx + b where m is the slope, we know that the slope is -1/2.
A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)
Answer:
176m²
Step-by-step explanation:
When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.
Step 1
Find the Outer surface area of the cone
Outer / Lateral surface area of a cone =
πrl
Where l = √r² + h²
r = 4 m
h = 3m
Outer surface area = 22/7 ×√4² + 3²
= 22/7 × √16 + 9
= 22/7 × √25
= 22/7 × 5
= 62.83185m²
Step 2
Find the outer surface area of a cylinder
= 2πrh
π = 22/7
r = 4m
h = 4.5
π = 22/7
Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5
= 113.09734m²
Step 3
The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder
= 62.83185m² + 113.09734m²
= 175.92919m²
Approximately ≈ 176m²
Therefore, the outer surface area of the tent = 176m²
asap!!
~~~~~~
A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?
Question 25 options:
y = –2x – 13
y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3
y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1
y = 2x + 5
click on picture for a, b, c ,or d
Answer:
y=−2x−13.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=−2x−5.
The slope of the parallel line is the same: m=−2.
So, the equation of the parallel line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.
Thus, a=−13.
Therefore, the equation of the line is y=−2x−13.
On a horizontal number line, numbers to the...... are less than numbers to the..... Numbers to the right are........ numbers to the left.
on a horizontal number line . numbers to the left are less than numbers to the right .. numbers to the right are less than numbers to the left
G
Antranig has a glass that holds 9.75 fluid ounces. He drinks 3.5 glasses of water in one day. To the nearest hundredth of a fluid ounce, how much water does Antranig drink?
He drinks about ounces of water
(Do not round antil the final answer. Then round to the nearest hundredth as needed.)
HELP MAN
Answer:
34.13 ounces
Step-by-step explanation:
Total amount of water drunk=3.5*9.75=34.13
WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.
Answer:
approximately 150 frogs
Step-by-step explanation:
To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.
Write the Roman numeral CLXXIX in standard form.
179 is the answer
hope it helps
Answer:
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
Step-by-step explanation:
Numbers close to CLXXIX
Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.
176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1
177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1
178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1
179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1
180 = CLXXX = 100 + 50 + 10 + 10 + 10
181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1
182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1
Symbol Value
I 1
V 5
X 10
L 50
C 100
D 500
M 1000
I hope this helps.
I'LL GIVE BRAINLIEST !!! FASTERR !
Answer:
opt. B
Step-by-step explanation:
g=60 because equilateral triangle ang=60
<KMN=120 because of linear pair
<h= 180-(120+29)= 31
g+h= 60+31= 91
whats the answer to this problem/how to figure it out?!
6x^2+4x+8
6x7^2+4x+8
blah blah blah
ANSWER
330
pls say if im right
Answer:
330Step-by-step explanation:
[tex]6x^2 +4x +8\\x =7\\\\6(7)^2 +4(7) +8\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(7\right)^2\::\quad 49\\\\=6\cdot \:49+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\cdot \:49\::\quad 294\\\\=294+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\left(7\right)\::\quad 28\\\\=294+28+8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:294+28+8\:\\:\quad 330[/tex]
A trader bought a bag for 125gh cedis. he later sold it at a profit of 30%. What is his selling price
Answer:
162.5 Cedis
Step-by-step explanation:
Cost Price= 125
Profit % = 30%
Selling price=?
Selling price= Cost price+ profit
Profit = ?
[tex]profit \% = \frac{profit}{cost \: price} \times 100[/tex]
[tex]30 \% = \frac{x}{125} \times 100[/tex]
[tex]30 \% = \frac{100x}{125} \\ 30 \times 125 = 100x[/tex]
[tex]3750 = 100x \\ \frac{3750}{100} = \frac{100x}{100} \\ x = 37.5[/tex]
Profit = 37.5 gh Cedis
Selling price= 125+37.5
Selling price= 162.5 gh Cedis
The selling price of a bag is 162.5Cedis.
It is required to find the selling price.
What is profit?The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product.
Given that :
Let the profit be x.
Cost Price= 125
Profit % = 30%
profit%=profit/cp*100
30=profit/125*100
3750=100x
x=37.5
profit=37.5
Selling price= Cost price+ profit
Selling price=125+37.5
Selling price=162.5ghcedis
So, the selling price of a bag is 162.5Cedis.
Learn more about profit here:
https://brainly.com/question/17189085
#SPJ2
let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp
Answer:
Let, the c.p be x.
Given,
profit % = 20%
S.P = rs 816
c.p = x
We know,
profit = p% of c.p
= [tex]\frac{20}{100}[/tex] * x
= [tex]\frac{x}{5}[/tex]
now,
C.p = profit + s.p.
x = [tex]\frac{x}{5}[/tex] + 816
x = [tex]\frac{x+ 4080}{5}[/tex]
5x = x + 4080
5x-x = 4080
4x = 4080
x = [tex]\frac{4080}{4}[/tex]
x = Rs 1080
Hence, the c.p is Rs. 1080
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
Answer:
y = 4x - 3
Step-by-step explanation:
A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.
1 = 4(1) + b
1 = 4 + b
-3 = b
Now, we can create the new equation with the information we found.
y = 4x - 3
Best of Luck!
Answer: y = 4x - 3
Step-by-step explanation:
y-y=m(x-x)
y-1=4(x-1)
y-1=4x-4
y=4x-3
Will Give Brainliest, Answer ASAP m∠O =
m∠N =
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
Two trains station at the same time one travels east at 8 miles per hour .The other train traveles east at 8 millas per hour the other train travels west at 11 miles per hour in how many hours will the two trains apart