1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
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5
Σ2n + 1 1
N=1
Please help!
Answer:
The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.
Step-by-step explanation:
hope i helped
PLEASE HELP ME OUT! I'll give brainliest!!
Answer: 106
Step-by-step explanation: 12x10=120 7x2=14 120-14=106
Answer:
[tex]A_{shaded} = 106\ m^2[/tex]
Step-by-step explanation:
Step 1: Get the area of the inside box
[tex]A=l*w[/tex]
[tex]A_{inside\ box} = 7\ m* 2\ m[/tex]
[tex]A_{inside\ box} = 14\ m^2[/tex]
Step 2: Get the area of the outside box
[tex]A = l * w[/tex]
[tex]A_{outside\ box} = 12\ m * 10\ m[/tex]
[tex]A_{outside\ box} = 120\ m^2[/tex]
Step 3: Subtract the inside box from the outside box
[tex]A_{shaded} = A_{outside\ box} - A_{inside\ box}[/tex]
[tex]A_{shaded} = 120\ m^2 - 14\ m^2[/tex]
[tex]A_{shaded} = 106\ m^2[/tex]
Answer: [tex]A_{shaded} = 106\ m^2[/tex]
Help 20:00 minutes left help
Answer:
A
Step-by-step explanation:
[tex]7n + \frac{1}{5} [/tex]
[tex] \frac{35n + 1}{5} [/tex]
And
[tex] \frac{1}{5} + 7n[/tex]
[tex] \frac{1 + 35n}{5} [/tex]
Answer:
A, because they switched around the order of the expression but it still equals the same thing.
Step-by-step explanation:
8. Look at the growing pattern below. How many squares will it
take to make the nth figure in this pattern?
Step-by-step explanation:
the first thing we notice is : there are always 2 "extra" squares (1 added to the bottom left, and 1 added to the top right).
and then we see that we have a "core" of n+1 squares that are added n-1 times.
e.g. for n=2 we get (2+1)(2-1) = 3×1 = 3 squares in the middle.
for n=3 we get (3+1)(3-1) = 4×2 = 8 squares in the middle.
just to verify for n=1 : that would be (1+1)(1-1) = 2×0 = 0. meaning no middle squares, which is correct.
so, the formula for n is
squares(n) = (n+1)(n-1) + 2 = n² - 1 + 2 = n² + 1
The number of squares that it takes to make the nth figure in this pattern will be n² + 1.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The growing pattern will be
⇒ (n+1)(n-1) + 2
⇒ n² - 1 + 2
⇒ n² + 1
Where n is the integer number.
More about the Algebra link is given below.
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what are the solutions to this polynominal when s(x)=0? S(X)= (3x^2+17x +10)(x-7)(4x-3)
Answer:
-5, -2/3, 7, 3/4
Step-by-step explanation:
The solutions of S(x) = 0 satisfy one of the equations:
3x^2 + 17x + 10 = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward to solve:
x = 7 and x = 3/4
We now factor 3x^2 + 17x + 10 = 0
Note 10 = 5 * 2, 3 = 3 * 1 and 3 * 5 + 2 - 17.
So, we can factor it as (3x + 2) (x + 5) = 0
Thus, we also have solutions -2/3, -5.
Which transformation changes triangle ABC to triangle A'B'C'? (1 point)
6
5
432
2.
1
X
1 2 3 4
5 6
-6 -5 -4 -3 -2 -1 0
- 1
-2
8
B
c
4
a
Rotation 90 degrees counterclockwise about the origin
Reflection about the y-axis followed by translation up by 8 units
ob
Ос
Reflection about the x-axis followed by translation left by 4 units
Od
Rotation 180 degrees counterclockwise direction about the origin
Rotation 90 degrees counterclockwise about the origin.
====================================================
Explanation:
Plot a point at the origin. Let's call it point D.
Form segments AD and A'D.
Use the slope formula to note that those segments have negative reciprocal slopes, which leads to the segments being perpendicular.
This proves we have a 90 degree rotation. The direction is counterclockwise when going from A to A'.
The same idea applies when going from B to B', and also C to C'.
The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.
Option B is the correct answer.
What is a reflection?There are two ways of translation.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
To determine the transformation that changes triangle ABC to triangle A'B'C', we need to find the transformation that maps each vertex of triangle ABC to the corresponding vertex of triangle A'B'C'.
To map A to A', we need to move 10 units to the right (from x = -5 to x = 5) and stay at the same y-coordinate (y = -6).
This is a horizontal translation of +10 units.
To map B to B', we need to move 1 unit to the left (from x = -3 to x = 2) and 1 unit up (from y = -2 to y = -3).
This is a horizontal translation of -1 units followed by a vertical translation of +1 units.
To map C to C', we need to move 2 units to the right (from x = -4 to x = 6), and 2 units up (from y = -6 to y = -4).
This is a horizontal translation of +10 units followed by a vertical translation of +2 units.
Therefore,
The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.
Learn more about reflections here:
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What is the total surface area of rectangular prism?
Answer:
162 [m²].
Step-by-step explanation:
required surface is:
A=(3*7+6*7+3*6)*2=162 [m²].
Answer:
So surface area is calculated by
2lw + 2lh + 2hw = SA
L is length
W is width
H is Height
SA is surface area.
So plug it in, (reminder this equation only works for cubes, rectangular prisms)
2(3)(6) + 2(3)(7) + 2(7)(6) = ?
So now follow order of operations to solve.
36 + 42 + 84 = 162
So 162m^2 is the surface area.
HELP PLEASE WORTH 100 Points
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed Provide a description of the solution set (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Answer:
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Hello there! I'm kinda bo-r-ed. Anyone w-anna share a story
well i was going to make an essay but i dont know how
Which choice has eukaryotic plant cells?
E. coli
salmonella
muscle
carrot
I know its obvious just checking my work
Answer: the answer is d carrot
Step-by-step explanation:
i took the test
what is the mean range median mode
75 90 62 82 94 98 94
Answer:
the mean is 85
the range is 98-62=36
the median is 90
the mode is 94
Step-by-step explanation:
Kristin bought a pack of 12
pencils for $1.25. How
much was each pencil?
Find the 111th term and nth rule 7,4,1,-2...
Answer/Step-by-step explanation:
We can create a function for this. Since this is linear, we can use y=mx+b.
y=-3x+7
Plug in 111 for x.
y=-3(111)+7
y=-333+7
y=-326.
-326
What is the explicit formula for this sequence?
-7, -3, 1, 5,
Step-by-step explanation:
-7, -3, 1, 5, ...
To get to -3 you must add 4.
To get to 1 you must add 4.
To get to 5 you must add 4.
The formula/rule is to add 4.
Every year for Valentine's Day, Martin gets his
wife a dozen roses. Last year, a dozen roses
cost him $30. This year, a dozen roses cost him
$45. What is the percent change from last year
to this year (whole number)? Did it increase or
decrease?
Answer:
It's increased by 50% bec the change is 15 ÷ 30 = 0,5 × 100 = 50%
Write a degree 3 polynomial with solutions, x=3, x=1 and x=0. Be sure to include all you steps. Type or upload a picture of your work
1. Observe problem
Degree of three, so
(x-3)(x-1)(x)=
x^3-4x^2+3x
Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 and -4
Polynomials are equations that uses variables and several terms
The polynomial in standard form is f(x) = x^2 - x -20
How to determine the polynomialThe polynomial has 2 zeros.
So, the form of the polynomial is:
f(x) = a(x - x1)(x - x2)
The zeros of the polynomial are 5 and -4.
So, the equation becomes
f(x) = a(x - 5)(x + 4)
The value of a = 1.
So, we have;
f(x) = 1(x - 5)(x + 4)
This gives
f(x) = (x - 5)(x + 4)
Expand
f(x) = x^2 - x -20
Hence, the polynomial in standard form is f(x) = x^2 - x -20
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Using the net what is the total surface area of the shoe box below
Answer:
SA = 280 in²
Step-by-step explanation:
The net comprises:
2 rectangles with width 5 in and length 10 in2 rectangles with width 6 in and length 10 in2 rectangle with width 5 in and length 6 inTo calculate the surface area (SA), calculate the area of each rectangle and add them together.
Area of a rectangle = width x length
Therefore, SA of net = 2(5 x 10) + 2(6 x 10) + 2(5 x 6)
⇒ SA = 100 + 120 + 60
⇒ SA = 280 in²
What is the total surface area of the prism?
Answer:
The total surface area of the prism
=Lateral surface area of prism +
area of the two bases = (2 ×
Base Area ) + Lateral surface
area or (2 × Base Area) + (Base
perimeter × height) .
Step-by-step explanation:
hope it helps
The entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Answer:
Domain: [-2,5)
Range: (2,-2]
Step by step explanation:
a open circle , means a parenthesis. a close Circle means a bracket . the domain is X . The range is y . for the range you start from the top of the graph and go all the way to the bottom of the graph . then for the domain, you go from the beginning of the graph to the end of the graph, side to side. and that's how I got this answer
Find the surface area of the net below.
Answer:
472 in²
Step-by-step explanation:
This net is made up of 3 identical rectangles and 2 identical triangles.
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Rectangle
width = 8 inlength = 19 inTriangle
base = 8 inheight = 2 inSurface Area
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
A spinner has 8 sectors with the colors red, white, red, blue, yellow, green, red, and white. What is the probability the spinner lands on a color in the American flag?
Answer:
The will most likely land on the american flag
Step-by-step explanation:
0.5n-3 (n-2)-n
Please help thank you.
Answer:
n + 6
Step-by-step explanation:
5n - 3 ( n - 2 ) - n
4n - 3 ( n -2 )
4n - 3n - 3 x (2)
4n - 3n - 3 x 2
4n - 3n + 6
n + 6
I need the answer for the screenshot
Answer: 5/8 > 1/2
Use L.C.M:
The L.C.M is 8: 1 x 5 5 1 x 4
1 x 8 8 2 x 4
5 --- 4 = 5 is more than 4
8
Find the value of x.
a) x=109
b) x=115
c) x=95
d) x=129
Answer:
A 109
Step-by-step explanation:
Pentagram's angles add up to 540. After subtracting all the other angles, you are left with 109.
Answer:
A
Step-by-step explanation:
add all the angles, answer should be 431, then subtract it from 540 (sum of interior angles for a pentagon), this gives u the answer of 109
Suzie is going to run for 32 minutes. She can run 1 mile in 5 minutes and she cools off for 7
minutes. How many miles can she run in her time limit?
Answer:
5 miles
Step-by-step explanation:
Let's first break down the question.
Suzie has a total of 32 minutes for her run. She runs 1 mile in 5 minutes and then after running she cools down for 7 minutes.
So then, now for the math...
5 + 5 + 5 + 5 + 5 + 7 = 32 minutes
5 * 5 = 25
25 + 7 = 32
During her time limit she will run a total she will run 5 miles.
Select the correct answer.
Which of the following is the inverse of f(x)= 3-x/5
Answer:
Step-by-step explanation:
answer is A : 3-5X
Answer:
A.
Step-by-step explanation:
mark the other person brainliest
help me out please!!! 50 points!!!
Step-by-step explanation:
I assume they intersect at a right angle (90°).
then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.
the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.
so, by using Pythagoras we have
diagonal² = length² + width²
13² = 12² + width²
169 = 144 + width²
25 = width²
width = 5 m
so, Oakdale Avenue is 5 m wide.
Last year at a certain high school, there were 124 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 20%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
Answer:
22.5%
Step-by-step explanation:
Find new values:
124(1−0.25)=93
125(1−0.2)=100
Last Year: Boys 124 & Girls 125
This Year: Boys 93 & Girls 100
Total: Last Year 249 & This Year 193
249(1−r)=193
249(1−r)/249=193/249
1−r=0.7751
−r=−0.2249(Subtracted 1)
r=0.2249(Divided by -1)
Final Answer: 22.5%(Multiply by 100 and round to nearest 10th)
If 64=16tsquared what is t
Answer:
t= 2
Explanation:
[tex] 64 = 16{t}^{2} [/tex]
[tex] \frac{64}{16} = \frac{16 {t}^{2} }{16} [/tex]
[tex]4 = {t}^{2} [/tex]
[tex]t = \sqrt{4} \\ t = 2[/tex]