Answer:
36 un³
Step-by-step explanation:
2 un *3 un *6 un = 6*6 = 36 un³
UHHH HELP ITS SO CONFUSING:(
Answer:
a. y = 2x b. 32
Step-by-step explanation:
a, y = kx, where k is a non-zero constant
when x = 7, y = 14
14 = 7k
k = 2
The required equation is y = 2x
b. From(a), y = 2x
y = 2(16)
y = 32
the perimeter of a rectangular piece of plastic is 26 mm. the piece of plastic is 5 mm tall. how wide is it?
A rectangular field is built next to a house and is enclosed by 400 m of fencing for the 3 remaining sides. Determine the dimensions of the field to maximize the area to nearest tenth of a metre.
Answer:
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
Step-by-step explanation:
The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:
[tex]A = x\cdot y[/tex] (1)
[tex]p = 2\cdot x +y[/tex] (2)
Where:
[tex]x[/tex] - Width, measured in metres.
[tex]y[/tex] - Height, measured in metres.
Note: We assume that height of the rectangle is parallel to the wall of the house.
By (2):
[tex]y = p - 2\cdot x[/tex]
In (1):
[tex]A = x\cdot (p-2\cdot x)[/tex]
[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)
Then, we obtain its first and second derivatives by Differential Calculus:
[tex]A' = p - 4\cdot x[/tex] (4)
[tex]A'' = -4[/tex] (5)
By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:
[tex]x = \frac{p}{4}[/tex]
And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:
[tex]x = 100\,m[/tex]
[tex]A = 20000\,m^{2}[/tex]
And the height of the triangle is:
[tex]y = 200\,m[/tex]
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
C
Step-by-step explanation:
Need an explanation pls
A car is traveling at a speed of 65mph. How far can the car drive in 2 hours?
GUYS THIS IS DO AN IN HOUR HELPP
Answer:
130 miles
Step-by-step explanation:
Assuming the car starts at 0 mph, this means that it gains 65 miles every hour. So, 2 hours would be 65 x 2 = 130 milesthe question says: Paula started reading a book and red 1/12 of the book on the first day. the next day, she read 1/3 of the book.
How much does she need ot read to finish the book? Hint: Not 5/12.
Answer:
Step-by-step explanation:
ℎ
[tex] \frac{5}{12} [/tex]
ℎ ℎ
[tex] \\ \frac{1}{12} + \frac{1}{3} = \frac{5}{12} [/tex]
help me with this math pls
Shen has a box that contains t toys.
Write an expression for the total number of toys
he has in the box when:
a ) he puts in 4 more b) he takes 2 out
c) he adds 5 d) he takes out half of them.
Answer:
(a+4)(b-2)=t
a+4=0
-4+4=0
and
b-2=0
2-2=0
Step-by-step explanation:
A is opposite of what is in the equation = -4
b is opposite of what is in the equation = 2
Solve the system by elimination
3x-2y=2
5x-5y=10
(-2,-4)
x=-2, y= -4
Have a good day
Answer:
(-2,-4)
Step-by-step explanation:
3x-2y=2
5x-5y=10
--
Multiply 3x-2y=2 by -5 to turn it into -15x+10y=-10
Mutiplu 5x-5y=10 by 2 to turn it into 10x-10y=20
--
Eliminate y
-15x+10y=-10
10x-10y=20
= -5x=10
Divide by -5
x=-2
--
Plug -2 to the first equation
3(-2)-2y=2
-6-2y=2
Move -6 to the other side by adding 6 to both sides
-2y=8
Divide by -2
y=-4
(x,y) = (-2,-4)
solve the x. 7x-7=2x-1
Look at the question below
Answer:
D = 18 miles
Step-by-step explanation:
The coordinate of a library = (4,3)
The coordinate of the school = (-5,3)
We need to find the distance between the library and the school. We can use the distance formula i.e.
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles[/tex]
As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles
So, the correct option is (c).
Pls I need help thank you
Answer:
angleLMK and angleQPR
I need help with this one...
Consider two circular swimming pools. Pool A has a radius of 32 feet, and Pool B has a diameter of 19.7 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A _____ is meters. So, the diameter of Pool _____ is greater, and the circumference is _____ by _____ meters
Which number is equivalent to 5.4 X 10 to the power of 2
Answer:
=540
Step-by-step explanation:
To get the answer all we have to do is convert the scientific notation into a regular one. We can do this by moving the decimal place depending on what the power is.
In this case, the power/exponent/the number raised, whatever you would call it is 2, so we are going to move it to two places.
Hope this helps!!
PLEASE I NEED SOMEONE TO HELP MY ASSIGNMENT IN MATH!!!
Answer:
Step-by-step explanation:
Midpoint theorem : The line joining midpoint of any two side of a triangle is parallel to third side and is half of it.
1) AI = 10.5
MC = 2*AI = 2*10.5
MC = 21
I solved for MC using midpoint theorem.
2) MC = 32
AI = [tex]\frac{1}{2}*32[/tex]
AI = 16
I solved for AI using midpoint theorem.
Answer:
AI is 16
Step-by-step explanation:
Given: WX ≅ YZ; ∠WXZ ≅ ∠YZX
Prove: WXYZ is a parallelogram
The proof that wxyz is a parallelogram has been done below
How to prove the parallelogramWe can prove that WXYZ is a parallelogram by using the properties of congruent angles and congruent sides.
Given: WX ≅ YZ; ∠WXZ ≅ ∠YZX
From the given information, we know that WX is congruent to YZ and that the angle WXZ is congruent to angle YZX.
Since WX is congruent to YZ, we can conclude that WY is congruent to XZ.
From the given information, we know that angle WXZ is congruent to angle YZX.
Since the angles are congruent, we can conclude that the lines WX and YZ are parallel.
By using the properties of congruent sides and congruent angles, we can now conclude that WXYZ is a parallelogram.
In a parallelogram opposite sides are parallel and congruent. The opposite angles are also congruent. In this case, WX and YZ are parallel and congruent and ∠WXZ and ∠YZX are congruent. So, WXYZ is a parallelogram.
Read more on parallelogram here: https://brainly.com/question/970600
#SPJ1
A line contains the points(– 4, 1) and (4,6). Decide whether or not each of these points is on the line.
Answer:
its undefined so it wont be on the line
Step-by-step explanation:
6-1=5
4-4=0
when adding a Positive, on the number line you move left or right?
Answer:
by adding. positive, you move towards right.
Answer:
Right
Step-by-step explanation:
when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....
its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0
a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress
UREGNT -- BRAINLIEST!
Answer:
12
Step-by-step explanation:
∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12
Answer:12
Step-by-step explanation: Using Prime Factorization Method
1728=2*2*2*2*2*2*3*3*3
1728=(2*2*2)(2*2*2)(3*3*3)
1728=2^3 *2^3*2
Cube root the number above you would get 2*2*3=12.
Please help! Brainliest Answer! Thank You!
Answer:
B) 63°
Step-by-step explanation:
Step 1: find the angle beside x (inside the pentagon)
*A pentagon has a total of 540°
119 + 100 + 116 + 88 = 423
540 - 423 = 117
Step 2: x is a supplementary angle, which means it's angle adds up to 180°
Since we know the other angle is 117°, we just subtract that from 180
180 - 117 = 63
x = 63
A 8.33% tax is added to a $120 grocery bill.
A. Amount of tax: $9.99
B. Total paid: $127.99
What quadrant is 4,2 in
Answer:
1
Step-by-step explanation:
Answer: The point is located in the fourth quadrant because
x
x
is positive and
y
y
is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Quadrant 4
Hope this helps. Can u pls give me brainliest
Step-by-step explanation:
Solve the system of equations
Sy=-3x + 7
1 x = – 2y – 16
X=
Y=
Answer:
I am assuming that the "s" is a typo. x=6, y=-11
Step-by-step explanation:
We could use substitution for the equation. we could substitute x for -2y-16. the first equation will be y=-3(-2y-16)+7. then y will be 11. You could now find x.
What is the total length of 13 rods?
Answer:
a rod is 16 1/2 feet long, so 13 x 16.5= 214.5 feet
Can I have some help please?
See diagram below.
===========================================================
Explanation:
The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)
For the general parabola y = ax^2 + bx + c, we can define h to be
h = -b/(2a)
In this case, we plug in a = -2 and b = 8 to find h to be...
h = -b/(2a)
h = -8/(2*(-2))
h = -8/(-4)
h = 2
Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get
f(x) = -2x^2 + 8x - 1
f(2) = -2(2)^2 + 8(2) - 1
f(2) = -2(4) + 8(2) - 1
f(2) = -8 + 16 - 1
f(2) = 8 - 1
f(2) = 7
This means k = 7
So the vertex for f(x) is at (h,k) = (2,7)
The max value of f(x) is f(x) = 7 which is the same as y = 7.
The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.
Therefore, g(x) produces the larger maximum value compared to f(x).
We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).
The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.
When Maxwell solved his equation, he got 5=5. If he did everything correctly, what does this solution tell him?
Answer: that the solution is true
Step-by-step explanation: if you get something like 10=10 it’s true but if you get like 4= 7 it’s false
Use the distributive property to write the following expressions in expanded form.
5 (7h + 3m)
Answer: Did it in ways that are different.
Step-by-step explanation:
35.25 hours
2115 minutes
5 3 minutes + 5 7 hours
I need help on this !!!!!
Answer: 5.4
Step-by-step explanation:
Use cosine to find the adjacent side.
cosine = adjacent/hypotenuse
Substitute these values in the cosine equation:
cos(39) = x/7
7*cos(39) = x
Use a calculator to find the value of x:
x = 5.4
Sheila is making accessories for the soccer team. She uses 623.22 inches of fabric on headbands for 32 players and 2 coaches. She also uses 276.16 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
26.96 inches of fabrics per person
Step-by-step explanation:
Headband
Number of players = 32
Number of coaches = 2
Total people = 32 + 2 = 34
Total fabrics used for headband = 623.22 inches
Fabrics per person = Total fabrics used for headband / Total people
= 623.22/34
= 18.33 inches per person
Wristband
Number of players = 32
Total fabrics used for wristband = 276.16 inches
Fabrics per person = Total fabrics used for wristband / Number of players
= 276.16 / 32
= 8.63 inches per person
Total fabrics used for headband and wristband for each player = 18.33 inches + 8.63 inches
= 26.96 inches of fabrics per person