Answer:
\W = Width
L = Length
Draw rectangle W x L
Divde rectangle into thirds with two lines parallel with width.
Outside fance perimeter = 2 W + 2 L
Inside fance length = 2 W
Total cost :
( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $
( 2 W + 2 L ) * 10 + 2 W * 20 = 400
20 W + 20 L + 40 W = 400
60 W + 20 L = 400 Divide both sides by 20
60 W / 20 + 20 L / 20 = 400 / 20
3 W + L = 20 Subtract 3 W to both sides
3 W + L - 3 W = 20 - 3 W
L = 20 - 3W
Area :
A = W * L =
W * ( 20 - 3W ) =
20 W - 3 W ^ 2
First derivation :
dA / dW = 20 - 3 * 2 * W = 20 - 6 W
If first derivation = 0 a function has a local maximum or a local minimum.
dA / dW = 0
20 - 6 W = 0 Add 6 W to both sides
20 - 6 W + 6 W = 0 + 6 W
20 = 6 W Divide both sides by 6
20 / 6 = 6 W / 6
20 / 6 = W
2 * 10 / ( 2 * 3 ) = W
10 / 3 = W
W = 10 / 3 ft
If second derivative < 0 then function has a maximum.
If second derivative > 0 then function has a mimum.
In this case second derivative = - 6
Second derivative < 0 so function has a maximum.
For W = 10 / 3 ft
L = 20 - 3W = 20 - 3 * 10 / 3 = 20 - 10 = 10 ft
Amax = W * L = 10 / 3 * 10 = 100 / 3 ft ^2
y=2x+4 cannot figure out?
Answer: M= 2 C= 4 (0,4)
Step-by-step explanation:
Formula- y=mx+c where m is the gradient and c is the y intercept
In y=2x + 4,
2 is in the place of m and 4 is in the place of c. So, m= 2 and c=4. The coordinates of the y intercept would be (0,4)
Tariq and Lucia are finalists in a baking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their primary flavor must be. Here are the available cards:
Answer:
0.03
Step-by-step explanation:
Answer:
.03 on Khan Academy
Step-by-step explanation:
I NEED HELP!!!!!!!!!!
Answer:
C
Step-by-step explanation:
It is C because two sides are the same so isosceles
A picture frame is designed to take a 6cm x 8cm picture. The border is the exact same width all round and its area is 32 cm^2. How wide is the border?
Convert 27^(2/3) into radical form. Then, show your steps and simplify (your final answer will be an
integer)
Answer:
Step-by-step explanation:
[tex]27^{\frac{2}{3} } =(3^3)^{\frac{2}{3} }=3^{3 \times \frac{2}{3} }=3^2=9[/tex]
What's the index notation of 4x4x4x5x5 And 9x7x9x9x7x9 SOMEONE PLEASE ANSWER URGENTLY!!!
Step-by-step explanation:
4^3×5^2×9^4×7^2,hope it is helpful
What is the value of the expression 1/7 divided by five
Answer:
1/35
Step-by-step explanation:
plz mark brainllest
Answer:
1/7 divided by 5 =
1/35
in decimal form, its:
0.0285714...
the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit
==========================================================
Explanation:
For the original two digit number, we have:
x = tens digity = units digit (aka ones digit)The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.
This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:
(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)
This sum is stated to be 154
11(x+y) = 154
x+y = 154/11
x+y = 14
Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x
x+y = 14
x+x-2 = 14 ... replace y with x-2
2x-2 = 14
2x = 14+2
2x = 16
x = 16/2
x = 8 is the tens digit of the original number
y = x-2
y = 8-2
y = 6 is the units digit of the original number
The original number is 10x+y = 10*8+6 = 86
As a check, adding 86+68 = 154 which confirms our answer.
Please help me help help me please help me out please please help please help me please please
Answer:
c
Step-by-step explanation:
possible answers: 3.456 x 10^3, 3.456 x 10^4, 3.456 x 10^5, 3.456 x 10^6
Answer:
last option is correct
............................
Write the product using exponents.
(-0.9)×(-0.9)×(-0.9)
Answer:
-0.9³
Step-by-step explanation:
that's the answer hope it helps
Answer:
(-0.9)×(-0.9)×(-0.9)
(-0.9)^3
Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
Write your answer as a whole number or a decimal.
Answer: Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
Answer:
5.5 Minutes per mile
Step-by-step explanation:
Malik biked 10 miles at a pace of p minutes per mile. His water break added 2.5 minutes to his time. It took him a total of 57.5 minutes to complete the trail. This equation represents the situation.
10p time spent biking
+
2.5 time for water break
=
57.5 total time
Now, solve the equation for p.
10p+2.5
= 57.5
10p
= 55 Subtract 2.5 from both sides
p
= 5.5 Divide both sides by 10
Malik's average pace was 5.5 minutes per mile.
Find the equation of a line
Possing through the point (1,2)
A with slope m=3
B) and also
passing through Point (3,-2)
Answers:
y=2x2−20x+51
Step-by-step explanation:
Vertex:
(5,1)
Focus:
(5,98)
Axis of Symmetry:
x=5
Directrix:
y=78
1) A(1;2) and slope=3.
slope-interception form is y=s*x+i, where s - slope, i - interception.
if to substitute the given coordinates and slope into the equation, then 2=3*1+i, ⇒ i=-1. It means, the required equation is:
y=3x-1.
2) A(1;2) and B(3;-2).
the common form is:
[tex]\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}.[/tex]
If to substitute the given coordinates into the common form, then:
[tex]\frac{x-3}{1-3} =\frac{y+2}{2+2} ; \ => \ \frac{x-3}{-2} =\frac{y+2}{4}; \ => \ y=-2x+4.[/tex]
simplify the expression
10,471 ÷ 23
Answer: 10;20.478261
Step-by-step explanation: I hope that helps if you don,t undertand tell me
is y=1/2x^2+5x-10 up or down
Answer:
it is up
Step-by-step explanation:
A sporting goods company ships their baseballs in
cartons that hold 48 balls. How many cartons will
hey need to ship 1,400 baseballs?
ons?
f(x) = 12 + x
X
f(x)
-3
-1
0
4
6
9514 1404 393
Answer:
(-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)
Step-by-step explanation:
The function definition tells you that adding 12 to the x-value will give you the value of f(x).
-3 +12 = 9, for example
The (x, f(x)) values for the table are shown above.
what is the slope intercept form
Answer:
[tex]y = \frac{4}{3} x - 4[/tex]
Hope it helped:)
Can someone please help with this?
Answer:
I was learning that to but it is way to blurred out and I can not see the text.
You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.
Step-by-step explanation:
Given 4(3x-8)=52 prove x=7
please help
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
just answered it previously =)
Answer:
4(3x-8)=52
12x-32=52
12x=52+32
12x=84
X=84/12
X= 7
Step-by-step explanation:
Find the percent of change $150 to $180
A society doubles its size every 31 years. If the population of a society is currently 12000 what will the population be in 124 years?
Answer: 1,488,000
Please tell me if I’m wrong.
Austin has ridden 49 miles of a bike course. The course is 70 miles long. What percentage of the course has Austin ridden so far?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70
A public parking garge charge $6,plus an additional $2per hour show me the
graph the line
Answer:
Step-by-step explanation:
y=6+2x
where x is number of hours.
Ms. Henderson's plant is 6 1/3 inches tall. It is 1 5/6 inches taller than Megan's plant.
How tall is Megan's plant?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
4 1/2 inches
Step-by-step explanation:
Hi! I hope this helps!:
Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".
For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.
Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.
You could simplify it to 9/3, 4.5, or 4 1/2 inches.
Answer:
The is 4 1/2. just like
ChocoWaffoALT said.
Observa los porcentajes de la gráfica y completa la tabla.
AYUDAAAA
I don’t understand this
Answer:
sqrt 9 to 3, sqrt 100 to 10, sqrt 64 to 8, 3 root of 343 is 7 same as 343^1/3 and cube root of 216 goes to six. doesn't matter the order. Match them correctly. You need to learn how to do this.
Step-by-step explanation:
Give 3 points that all lie on a line with a slope of 4. Explain your process.
Answer:
Step-by-step explanation:
The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table
y = 4x
x 1 3 5
y 4 12 20
So I just multiplied 4 by 3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)
What about a more complex line.
y = 4x + 5
x 1 3 5
y 9 17 25
The green line show (1,9),(3,17),(5,25)
4 plums and 7 bananas
Using the graph as your guide, complete the following statement.
The discriminant of the function is _____ .
Answer:
positive
Step-by-step explanation:
the discriminant of the function is postive.
because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0
that implies the discriminant is positive.
[tex]\Delta = \sqrt{b^2-4ac}[/tex]
if [tex]\Delta > 0[/tex] we have 2 distinct real solution
if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions
if [tex]\Delta = 0[/tex] we have 2 identical real solution
