A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?
Answer:
length: 601 1/3 area: 361601 7/9
Step-by-step explanation:
the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3
1804/3=601 1/3
the length is 601.(3)
square to find the area
(1804/3)^2
361601 7/9
area is 361601 7/9
Given matrices A and B shown below, find (−3)A+(−5)B.
Answer:
i don't understand this
Step-by-step explanation:
I don't understand this at all I have no been getting this in school
The equation of a line is given below -9x+3y=-12
Find the slope and the y intercept then use them to graph the line I also need to know where to plot the points I’ll give BRAINLIEST
Answer:
slope = 3
y-intercept = -4
Step-by-step explanation:
In order to find the slope and the y-intercept, transform the given equation into its slope-intercept form, y = mx + b:
Add 9x to both sides:
-9x + 9x + 3y = 9x - 12
3y = 9x - 12
Divide both sides by 3:
[tex]\frac{3y}{3} = \frac{9x - 12}{3}[/tex]
y = 3x - 4 This is the slope-intercept form where the slope, m = 3, and the y-intercept, b = -4.
To graph the line, start at the y-intercept (0, -4). Then, use your slope, m = 3 (rise 3 units, run 1 unit). Attached is a screenshot of the graphed line, using the rise/run technique. I also plotted extra points.
An engine runs for 5.8 hours. How many seconds did it run?
Answer: 20880 seconds.
Step-by-step explanation:
Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?
Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.
Encontramos que las soluciones son:
Precio = 12,820.5 colones.Número = 112La información que tenemos es:
El comerciante compro un dado número de novillos, digamos N.
El precio total fue de 1,440,000 colones.
Entonces si el precio de cada novillo es P, tenemos que:
N*P = 1,440,000
Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:
20*22,000 colones = 440,000 colones.
Es decir, de momento se tiene una perdida de:
1,440,000 - 440,000 = 1,000,000 colones.
Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.
De esto planteamos la ecuación:
(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.
Entonces tenemos el sistema de ecuaciones:
N*P = 1,440,000
(N - 20)*(P + 2,000) = 1,200,000
Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N
N = (1,440,000)/P
Ahora reemplazamos esto en la otra ecuación:
(N - 20)*(P + 2,000) = 1,200,000
( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000
Ahora debemos resolver esto para P.
1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000
- 20*P + 2,000*(1,440,000)/P = -180,000
Multiplicando ambos lados por P, obtenemos:
-20*P^2 + 2,880,000,000 = -180,000*P
Reescribimos esto como una ecuación cuadratica:
-20*P^2 + 2,880,000,000 + 180,000*P = 0
Y podemos resolver esto usando la formula de Bhaskara.
[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]
Solo nos interesa la solución positiva, que es:
[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]
Es decir, cada novillo le costó 12,820.5 colones.
y sabemos que:
N = 1,440,000/P = 1,440,000/12,820.5 = 112.3
Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).
Sí quieres aprender más puedes leer:
https://brainly.com/question/20868687
All of the following are equivalent except:
4%
04
1/25
The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 3 feet; horizontal distance 16 feet
Maximum height 7 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 16 feet
Answer:
Maximum height 8 feet; horizontal distance 11 feet
Step-by-step explanation:
got it right
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is [tex](x-3)^2=-8(y-8)[/tex]
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]
or
[tex]x-3=-8\\\Rightarrow x=-5[/tex]
The distance between -5 and 11 is [tex]11-(-5)=16[/tex]
Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].
[tex]-5+8=3[/tex]
So, [tex]x=3[/tex]
The maximum height will be
[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]
The maximum height is 8 feet and the horizontal distance is 16 feet.
Learn more:
https://brainly.com/question/25227606
https://brainly.com/question/13103131
Help please! The picture is inserted alrdy
Answer:
perimeter of figure A is 40 cm
..
breadth of figure B is 3.33. {ie,3 whole 4 by 12}
Find g(x) for each x value in the table
Answer:
-2 = -2/7
-1= -1/7
0=0
1= 1/7
2= 2/7
Step-by-step explanation:
it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y
What is the slope of 3x+4y=−2?
Answer:
subtract the 3x from one side and put in the other
4y = -3x -2
then divide both sides by 4
y= -3/4x -1/2
so the slope is-3/4
Please help Giving 15 points
Answer:
you said you're giving 15 points but its 8
PLEASE HELP ME
The unit claims that you can increase the challenge of your workouts by using Newton’s first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton’s first law to create a more challenging workout? When you change the terrain, what is that force called?
Answer: Use Newton's first rule of motion to make your workout more difficult.
This rule says that until acted upon by an external force, a body continues in motion.
By altering the ground on which you exercise, you may reduce the influence of inertia on your exercises, as inertia maintains you going forward.
Workout on materials that slow it down your upward motion, requiring you to expend more energy to keep going ahead.
Run on sand rather than tarmac, or do aerobic exercises on rubber mats rather than wood flooring.
Happy To Help ;)
Step-by-step explanation:
is 0 a natural number or a whole number
Answer:
O is a whole number.
Step-by-step explanation:
Answer:
0 is not a natural number, it is a whole number.
Step-by-step explanation:
Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).
At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?
Answer:
$83.60
Step-by-step explanation:
to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.
12.54 ÷ 6 = 2.09
then we multiply that by 40
2.09 x 40 = 83.60
Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?
Answer:
Volume of water would be 12,200,000 m^3
Step-by-step explanation:
hope that helps :D
CLASS 6 MATHS!!!! HELP ME PLEASE!!!!!!!
Step-by-step explanation:
[tex] \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )[/tex]
[tex] \\ = \frac{ - 3}{4} \times \frac{25}{6} [/tex]
[tex] \\ = \frac{ - 25}{8} [/tex]
[tex] \\ = - 3.125[/tex]
[tex] \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )[/tex]
[tex] \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} [/tex]
[tex] \\ = \frac{713}{32} [/tex]
[tex] \\ = 22.28125[/tex]
Graph the line with slope 1 passing through the point (-3, 1).
Answer:
[tex]y = x + 4[/tex]
Step-by-step explanation:
[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]
how to convert 111101 from base 2 to base 10
Answer:
61
Step-by-step explanation:
So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below
Jonathan made $546 last
month selling newspapers.
This month he made $874.
He then got an extra $200
because he sold the most
papers. How much money
did he make in all?
Answer:
1620
Step-by-step explanation:
Answer:
$1620
Step-by-step explanation:
Earning in last month: $546
Earning in this month: $874
Extra earning: $200
Total earning = 546 + 874 + 200 = 1620
Heyyyyyyyy help meeeeeee fix
Answer:
A) Volume of prism: 4 * 8 * 9 = 288 cubic units
B) Area of shaded base: 4 * 8 = 32 squared units
Volume of prism: 32 * 9 = 288 cubic units
Step-by-step explanation:
The volume of a prism can be calculated by multiplying its length, width, and height. The length of the prism is 8, the width is 4, and the height is 9. Thus, we get 8*4*9 = 288 cubic units. (cubic units because we are dealing with volume)
The area of the shaded base can be found by multiplying its length by its width. The length is 8 and the width is 4. Thus, 4*8 = 32 squared units (squared because we are dealing with area)
The volume of the prism using the area of the shaded base can be calculated by multiplying the area of the shaded base by the height, this is because the area of the shaded base is already the length * width and thus we only need to multiply by the height which is 9. Therefore we get 32 (area of shaded region) * 9 (height) = 288 cubic units.
x(x+6)=-8 quadratic equation
Answer:
x=-2 or x=-6
Step-by-step explanation:
x^2+6x+8=0
(x+2) (x+6)=0
x=-2 or x=-6
-6.4x + 3.5y = 7? what is the slope
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
Usian bolt can run 100meters in 9.58 seconds . my car can drive 100kilometers an hour. which is faster, is it faster to travel 100meters in 9.58 seconds or 100 kilometers an hour
Answer:
Your car is faster of course
Step-by-step explanation:
100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.
Help thank you so very much
Answer:
x-0 12
Step-by-step explanation:
i hope cant help p please follow me in brainly and hearts and give me a star
Zaby does 15 Joules of work to push the pencil over 1 meter. How much force did he use?
What is the smallest number that rounds to 45 000 when round off to the nearest thousand
The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.
- BRAINLIEST answerer
Answer:
44 500
Step-by-step explanation:
When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000
A record-store owner assesses customers entering the
store as high school age, college age, or older, and
finds that of all customers 30%, 50%, and 20%, respectively, fall into these categories. The owner also found
that purchases were made by 20% of high school age
customers, by 60% of college age customers, and by
80% of older customers.
a. What is the probability that a randomly
chosen customer entering the store will make a
purchase?
Answer:
ongjdgffchcfgrsfedfcnfdrdghcmgh drdjcgfdrrjfvghjfdrejkgjbvdurfvgjkgb hj
jni'ipjh
Step-by-step explanation:
Evan used base-10 blocks to model the product of 3 and 0.51.
How can Evan use this model to determine the product?
Enter your answers in the boxes to correctly complete each statement.
Base 10 blocks are used to perform arithmetic operations.
To model the product of 3 and 0.51, Evan needs 3 copies of 5 tenths and 1 hundredths.
The expression can be represented as:
[tex]\mathbf{3 \times 0.51}[/tex]
Express 0.51 as 0.5 + 0.01
[tex]\mathbf{3 \times 0.51 = 3 \times (0.5 + 0.01)}[/tex]
0.5 means 5 tenths0.01 means 1 hundredths3 means that, the above blocks are needed in three places.Hence, Evan needs 3 copies of 5 tenths and 1 hundredths.
Read more about base 10 blocks at:
https://brainly.com/question/7621712
Find the slope and y intercept of the line 3x+2y=-6
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is __inches.