Answer:
104-5/9
Step-by-step explanation:
just divided ND SUBTRACT
A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?
Answer:
Step-by-step explanation:
Answer:
(17.5√2 miles west, 17.5√2 miles north)
Step-by-step explanation:
The distance in the west direction will be ...
35cos(45°) = 17.5√2 . . . . miles west
The distance in the north direction will be ...
35sin(45°) = 17.5√2 . . . . miles north
The vector components are ...
(17.5√2 miles west, 17.5√2 miles north)
_____
Additional comment
When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...
(-24.7, 24.7) miles
6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.
The capital formation of the investment function over a given period is the
accumulated capital for the period.
(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.Reasons:
(a) The given investment function is presented as follows;
[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]
(a) The capital formation is given as follows;
[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]
Which gives;
[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]
[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]
[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]
[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]
The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.
Learn more investment function here:
https://brainly.com/question/25300925
What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard
Answer:
Option A is the correct answer
Step-by-step explanation:
We know that
1 yard = 3 foot
1 foot = 12 inch
1 yard = [tex]3\times12[/tex] inches
[tex]=36[/tex] inches
Option A is the correct answer
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]
=====================================================
Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)will dilate to the corresponding image points
V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
The password must consist of a vowel followed by 3 letter and 2 odd digits. How many passwords are possible if repetition is allowed?
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12
Step-by-step explanation:
6y +4x=-12
6y=-4x-12
y= -4/6x -12/6
y= -2/3x -2
I need Help ASAP
Please
Please!!!
Answer:
3/4
Step-by-step explanation:
This is for my mid term exam review but it’s #2 and it goes with the other question I answered
Answer:
B. 8 x 10^3
Step-by-step explanation:
1.6 x 10^5 / 0.2 x 10^2
= 160 000 / 20
= 8 000
You can write this as 8 x 10^3
PLS HELP ME
what is mZA?
Answer:
35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think
A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
help me with this question plz
Answer:
2
Step-by-step explanation:
you tell me true ya false
5c + 7c simplify fytdtdecxsts
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
find the area of a square park whose perimeter is 400m
Answer: 1600m^2
Its a square so all sides are equal. So...
400m * 400m
= 1600m^2
heeeeeeeeeeeeeeeeeeeelp me plssssssssssss
Answer:
Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.
So (a) is the answer
Diagonal lines are linear functions
Answer:
Diagonal lines........
help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast
Answer:
4
Step-by-step explanation:
The number in from of sin is the frequency
Answer:
4
Step-by-step explanation:
A washer and a dryer cost 825 combined. The washer costs 74 more than the dryer. What is the cost of the dryer?
Answer:
375.5 combined
Step-by-step explanation:
The cost of the dryer is: (825-74)÷2 =375.5 (combined)
A recent survey concluded that 3/4 of the teachers in a certain school district had at least 10 years of teaching experience. If there are 152 teachers in the district, approximately how many have at least 10 years of teaching experience?
Answer: 114
Step-by-step explanation:
3/4 * 152 = 3*38 =114
can someone please tell me these answers
Answer:
4/5
Step-by-step explanation:
To find the rate of change, you are finding the slope of the chart.
Using the equation, △y/△x can be rewritten as [tex]\frac{y2-y1}{x2-x1}[/tex].
Plug in 2 coordinate points in the chart to find the rate of change.
[tex]\frac{8-4}{10-5} =\frac{4}{5}[/tex]
The rate of change is 4/5.
What is the value of a on the triangle below?
Answer: answer 56 I’m the goat lol
Step-by-step explanation:
subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56
Please help!!!
THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:
==========================================================
Explanation:
We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.
[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]
This indicates that the population of New York state in 2020 is roughly 19.193 million.
This converts to 19,193,000 which is 19 million, 193 thousand.
---------------
Extra info:
According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
The answer is A
Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Answer:
width(w)= 20inches
Step-by-step explanation:
solution,
given,
perimeter of a rectangle (P)=68inches
length of rectangle= 14 inches
we know,
perimeter of a rectangle=2L + 2W
or,68=2×14+2×w
or,68-28=2w
or,40=2w
or,w=40÷2
or,w=20inches.
A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:
Answer:
$290,000
Step-by-step explanation:
Total cost = total variable cost + fixed cost
= 5000×328 + 120000
= 1640000+120000
=1760000 $
The jeans maker earns in total = 5000 × 410
= 2050000 $
So the income is
= 2050000 – 1760000 = 290000 $ ( Answer)
If the number of units is 5,000. Then the income will be $290,000.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.
Let 'x' be the number of units. Then the equation is given as,
Income = Selling cost - Variable cost - Fixed cost
Income = $410 x - $328 x - $120,000
Income = $82 x - $120,000
If the number of units is 5,000. Then the income is calculated as,
Income = $82 (5,000) - $120,000
Income = $410,000 - $120,000
Income = $290,000
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Algebra 2
K.14
Write a quadratic function with zeroes 2 and 8.
Answer:
[tex]x^{2}[/tex] - 10x + 16
Step-by-step explanation:
If the 0s are 2 and 8, then the factors are (x - 2) and (x - 8)
Multiply them together to get [tex]x^{2}[/tex] - 10x + 16
Solve for x; x: 6 = 54: 162 A. 1 B. 2 C. 3 D. 4
find x
Answer:
x = 2
Step-by-step explanation:
x:6 = 54:162
What is 54 to 162?
162/54 = 3.
So x times 3 should equal 6.
6/3 = 2.
x = 2
Let's confirm,
2:6 = 54:162
:)
Answer:
8 - 10
8 + 10
Step-by-step explanation:
edmentum/plato
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(18, −2)
(18, 2)
(15, −2)
(15, 2)
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut
Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?
Answer:
90.95
Step-by-step explanation:
Question 3 help pls
Answer:
< greater than
Step-by-step explanation:
u need to turn each one into decimals than find out which ones greater that's how you'll get your answer
Answer: The answer would be D
2(3x-12)=6(x-2)
PLEASE HELP!!!
pls helpppppppppppppppp
Answer:
Step-by-step explanation:
I believe it’s yes
Answer:
Yes
Step-by-step explanation:
A function has only one output value for each input value.