The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.
Given,
The length of the small cube, a = 3.5 inch
The length of large cube = 2a = 2 × 3.5 = 7 inches
Now,
We have to find the volume of large cube
Volume;-
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Here,
Volume of cube = a³
Volume = 7³ = 343 cubic inches
That is,
The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.
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Given question is incomplete. The completed question is;
A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.
The width of a rectangle is the length minus 6 units. The area of the rectangle is 7 units. What is the length, in units, of the rectangle?.
The length of the given rectangle is 7 units.
What is the area of the rectangle?The area of the rectangle is the product of its length and width.
I.e., A = l × w sq. units
Calculation:It is given that, the width of a rectangle is the length minus 6 units.
I.e., W = L - 6 units
Then, the area of the rectangle is
A = L × (L - 6)
But we have given that, the area of the rectangle is 7 sq. units.
So, we can write
7 = L² - 6L
⇒ L² - 6L - 7 = 0
⇒ L² - 7L + L - 7 = 0
⇒ L(L - 7) + 1(L - 7) = 0
⇒ (L + 1)(L - 7) = 0
∴ L = -1 or L = 7
The length should not be a negative value. So, the length of the given rectangle is 7 units.
Then, the width of the rectangle is
W = L - 6 = 7 - 6 = 1 unit.
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.... ineed help past due
Answer:
a worker can plant 2/5 acres in 7/8 days
or a worker can plant 2/5 acres in 7/8 hrs=21hrs
in one hrs he can plant 2/5×21 acres
in 24 hrs he can plant 2/105 ×24 acres
Therefore in one day he can plant 16/35 Acres
Watch help video
23.4 is what percent of 288? Round to the nearest tenth.
23.4 is 8.125 percentage of 288.
What are percentages?Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. A percentage can be shown by the symbol % or, less frequently, by the abbreviation 'pct'.
Calculation:1. Since 288 is the output value of the task, we assume that it is 100%.
2. We make the assumption that the value we are looking for is x.
3. If 100% = 288 then we can express that as 100% = 288.
4. Since we already know that the output result of x% equals 23.4, we can write it down as x%=23.4.
5. We now have two straightforward equations:
1) 100%=288
2) x%=23.4 where both of their right sides and left sides have the same units, allowing us to write something like this: 100%/x%=288/23.4
6. All that is left for us to do is solve the straightforward equation, and we will have our answer.
7. Calculate 23.4 as a percentage of 288.
100%/x%=288/23.4
We multiply both sides of the equation by x 100=12.307692307692 to get *x=(288/23.4)*x.
*x - we get x 100/12.307692307692=x 8.125=x by dividing both sides of the equation by (12.307692307692) to get x=8.125.
23.4 is 8.125 percentage of 288.
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The volume of a cylinder is given by the formula V = ²h,
where r is the radius and h is the height of the cylinder.
Determine the volume of a soup can with a 3-inch radius and
a 5.5-inch height.
Use 3.14 for T.
a 145.51 in ³
b 245.51 in ³
c 103.62 in ³
d 155.43 in ³
Activate
Go to Settin
Please Help Me with this Problem if you can
Thank you
Answer:
C
Step-by-step explanation:
-2x + 10 Means that the line crosses the y axis at 10. The slope is -2 that means that as the y changes by -2, the x changes by 1.
The second equations means that we have a horizontal line with no slope that goes through -28 1/2
NO LINKS! PLEASE HELP ME!
Answer:
[tex]\dfrac{17}{8}[/tex]
Step-by-step explanation:
Given statement:
The quotient of (8/5 divided by 8/10) is added to the product of (8/14 × 7/12 × 3/8):[tex]\implies \dfrac{\frac{8}{5}}{\frac{8}{10}}+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)[/tex]
To divide two fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
[tex]\implies \left(\dfrac{8}{5} \times \dfrac{10}{8}\right)+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{ab}{cd}:[/tex]
[tex]\implies \left(\dfrac{8 \times 10}{5\times 8}\right)+\left(\dfrac{8 \times 7 \times 3}{14 \times 12 \times 8}\right)[/tex]
Carry out the multiplications:
[tex]\implies \dfrac{80}{40}+\dfrac{168}{1344}[/tex]
Simplify the fractions by dividing the numerator and denominator by the GCF:
[tex]\implies \dfrac{80 \div 40}{40\div 40}+\dfrac{168 \div 168}{1344 \div 168}[/tex]
[tex]\implies \dfrac{2}{1}+\dfrac{1}{8}[/tex]
Make the denominators of both fractions the same:
[tex]\implies \dfrac{2 \times 8}{1\times 8}+\dfrac{1}{8}[/tex]
[tex]\implies \dfrac{16}{8}+\dfrac{1}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]
[tex]\implies \dfrac{16+1}{8}[/tex]
[tex]\implies \dfrac{17}{8}[/tex]
A. 3(2x-3)-5(2+x) B. -2(2x+3)(x+2)-(x+2) C. 3(2-x)+3(2-x) 2. Solve and check each of the following equation. i.3x+5=29 ii. x-1=14 3. Solve each of the following questions. i. 2(x+2)-3(2-x)=2(x-3) ii. -3(2-2x)-(x+2)=2x+3 iii. 2/3(x+2)=7/8(2-x) iv. 4/3(2-x)=3/5(x+3) v. 5[x-(4x-5)]-2=2-7x iii. x=21 4. Locate each of the following on the coordinate plane bra
Answer:
[tex] {x + 2x}^{2} [/tex]
2 1/2(x-8)=4 1/2
Help :(
The expression 2 1/2 (x - 8) = 4 1/2 is solved to get the value of x to be
9 4/5How to solve the expressionThe expression, 2 1/2 (x - 8) = 4 1/2 is solved be converting to decimal
2 1/2 (x - 8) = 4 1/2
2.5 (x - 8) = 4.5
expanding to remove the parenthesis
2.5x - 20 = 4.5
collecting like terms, being mindful of change of negative to positive when crossing the equality sign
2.5x = 4.5 + 20
applying addition property
2.5x = 24.5
dividing through by coefficient of x which is 2.5
x = 24.5 / 2.5
x = 9.8
x = 9 4/5 as a mixed number
Therefore the value of x = 9 4/5
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Rectangular pyramid B is the image of rectangular pyramid A after
dilation by a scale factor of 3. If the surface area of rectangular
pyramid A is 87 cm², find the surface area of rectangular pyramid B,
the image.
Answer: 261 cm²
Step-by-step explanation: 87 x 3 = 261
Answer:
783 cm²------------------------------
The area is the function of two dimensions.
The scale factor is 3. It means each dimension is 3 times greater.
Therefore the surface area is 3*3 = 9 times greater:
S(B) = 9*S(A) = 9*87 = 783 cm²I need help on this please:
show that the two quadrilaterals are congruent
The function is defined by the following rule.
Complete the function table.
The complete table of function is,
x h(x)
-4 -11
0 -3
2 1
4 5
5 7
What is function?
A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.
Let, the function h is defined by the rule,
h(x) = 2x - 3
We have to complete the function table.
x = -4 ⇒ h(-4) = 2(-4) - 3 = -8 - 3 = -11
x = 0 ⇒ h(0) = 2(0) - 3 = -3
x = 2 ⇒ h(2) = 2(2) - 3 = 4 - 3 = 1
x = 4 ⇒ h(4) = 2(4) - 3 = 8 - 3 = 5
x = 5 ⇒ h(5) = 2(5) - 3 = 10 - 3 = 7
Hence, the table becomes,
x h(x)
-4 -11
0 -3
2 1
4 5
5 7
This is the complete table of function.
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How much will a 0 affect my grade if I have a 72% And it’s 25 percent of my grade?
help pls
Answer:
You lose 18% and end up with 54%.------------------------------
You have completed 100% - 25% = 75% of the assignment and have a 72% score.
It gives:
0.75*72% = 54% of overall scoreWith getting zero it doesn't add anything to overall score of 54% and you lose:
72% - 54% = 18%Solve for X. Round to the nearest tenth of a degree, if necessary. 4 S U to 22 30 T
The value of [x] in the triangle is 36.25°.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a right angled triangle.
We can write -
tan(x°) = (22/30)
x° = tan⁻¹(22/30)
x° = 36.25°
Therefore, the value of [x] in the triangle is 36.25°.
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12y−15x=84
I HATE MATH
Answer:
First, you need to add 15x to both sides in order to get y by itself. Then, you need to divide all the numbers by 12. Your answer should be Y=1.25x+7. I hope this helps!
Step-by-step explanation:
The function f(x) = e2x+1 when graphed could be described as:
a decreasing exponential graph.
an increasing exponential graph. an increasing linear graph.
None of these choices are correct.
The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
How to Interpret Exponential Graphs?The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines.
Now, we are given the exponential function as; ƒ(x) = e^(2x + 1)
Now, as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, we can see that the exponent we are given increases as seen in the exponent attached to it.
Thus, we can conclude that The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
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Can you explain step by step how "a cube has a side length of 10 cm. The cube is dilated by a scale factor of 5. How does the volume of the new cube compare to the volume of the original cube?" The answer is the volume is 125 times the volume of the original cube but how is this the answer.
After the dilation, the new volume of the cube is 125 times the original volume of the cube.
How does the new volume compare to the original volume?Remember that for a cube of sidelength S, the volume is written as:
V = S^3
If we apply a dilation of scale factor 5 to the cube, then the new sidelength of the cube is 5*S
Replacing that in the volume formula we will get the volume of the dilated cube, it is:
V' = (5*S)^3
V' = 5^3*S^3
V' = 125*S^3
Where S^3 is the original volume, so we can write:
V' = 125*V
So the new volume is 125 times the original volume.
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Se aplico un examen a 48 personas de las cuales 15% lo reprobaron, ¿Que porcentaje aprobo
el examen?
Answer:
Total APROBADOS = 41 estudiantes
Step-by-step explanation:
Total personas que tomaron el examen = 100 % = 48
Porcentaje personas reprobadas = 15 %
Luego,
Total personas reprobadas = (15%)*48
Total personas reprobadas = (0.15)*48 = 7.2 aprox 7
Luego restando del total de estudiantes, los reprobados, tendrás los APROBADOS:
Total APROBADOS = 48 - total reprobados
Total APROBADOS = 48 - 7
Total APROBADOS = 41
Find x, y and z for the diagram below.
X =
y =
Z=
88
2x+18
y+10
3x-7
Helen ha a garden in the hape of a circle of diameter 20 m. She i going to cover all the garden with gra eed to make a lawn. Gra eed i old in boxe. Each box of gra eed will cover 58 m² of garden. 20 m
a) Taking л to be 3. 14 work out the area of the garden in m². (2)
314
b) Work out an etimate for the number of boxe of gra eed Helen need. To find your etimate, round each of the number in your working to 1 ignificant figure. You mut how your working. (2)
314/58-5. 8
5 boxe
c) Your etimate for b) i
A an overetimate
B an underetimate
C could be either
a) The area of Helen's circular garden is 314 m².
b) The estimation for the number of boxes of grass seed Helen needs, is 5 boxes.
c) B. The estimation we did in (b) is an underestimation.
How to find the area of a circle?The area of a circle is calculated by the formula,
A = πr² sq. units; r - radius
When we have the diameter, we can find the radius by
r = d/2 units
Calculation:Given that Helen has a garden in the shape of a circle of diameter 20 m.
She is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes. Each box of grass seed will cover 58 m² of the garden.
a) The area of the circular garden is
A = πr² = 3.14 × (d/2)²
⇒ A = 3.14 × (20/2)²
⇒ A = 3.14 × 100
∴ A = 314 m²
Thus, the area of Helen's garden is 314 m².
b) The number of boxes of grass seed to cover the area of 314 m² is
= area of the garden/area covered by each box of seeds
= 314 m²/58 m²
= 5.4179
So, on an estimation, there are 5 boxes of grass seed that Helen needs.
c) Here, in the above estimation, we rounded the decimal number 5.4179 to 5. Since the number is rounded to the nearest value (smallest value), the estimation is an underestimate.
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Given the diagram below,
<2 and <6 are classified as
which type of angles?
Answer:
corresponding
Step-by-step explanation:
Find a point-slope form for the line with slope 5 and passing through the point (- 8, -4)
Answer:
y + 4 = 5(x + 8)
Step-by-step explanation:
Slope: 5 => m = 5
Point: (-8, -4) => x = -8 and y = -4
y - y1 = m(x - x1)
y - (-4) = 5(x - (-8))
y + 4 = 5(x +8)
{0.2x+0.6y=3.6 0.4x-0.9y=-1.2} what is the answer
Answer:
68266==874624./4
Step-by-step explanation:
77353877473=287365-2874662kkh=2875
Sqrt (cos (x)) * cos (300x) + sqrt (abs (x)) - 0. 7) * (4- x * x) ^ 0. 01, sqrt (6-x ^ 2), -sqrt (6-x ^ 2) from -4. 5 to 4. 5
The graph of your equation: [See in attachment]
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
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Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.
5(x2 + 4x + 4) = –7 + 20
x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot
5(x2 + 4x) = 7
5(x2 + 4x + 4) = 7 + 20
5(x2 + 4x) = –7
5(x2 + 4x + 4) = 7 + 20 quadratic equation by completing the square The correct statement is 5(x2 + 4x + 4) = 7 + 20.
What distinguishes a quadratic equation?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.
Describe the fundamental quadratic equation?Quadratic equations are the degree two, one-variable polynomial equations of the form f(x) = ax2 + bx + c = 0, where a, b, c, and an are all divisible by R and an is equal to zero. It is the quadratic equation's general form, with 'a' standing for the leading coefficient and 'c' standing for the absolute term of f. (x).
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15 PTS I NEED HELP IMMEDIATLEY!! A textbook store sold a combined total of 447 biology and sociology textbooks in a week. The number of sociology textbooks sold was 63 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Answer:
biology = 255 ; sociology = 192
Step-by-step explanation:
b + s = 447
s = b - 63
b + b - 63 = 447
2b = 447 + 63
2b = 510
2/2 b = 510/2
b = 255
s = 255 - 63
s = 192
Answer: 192 sociology textbooks, 255 biology textbooks
Step-by-step explanation:
Let the number of biology be x, and the number of sociology be x
The number of the sociology textbook is x+63
So the equation is
x + x + 63 = 447
2x = 384
x= 192 sociology textbooks
To find the number of biology textbooks, just take 447- 192 = 255 biology textbooks
Can somebody answer these 5 questions please and thank you
The perimeter of the rhombus is 34.40 units. The length of diagonal is 7.21 units. The perimeter of the rectangle is 44.98 units. The perimeter of the square is 42.44 units
How to find the perimeter of the rhombus?1. Given: a rhombus with diagonals 10 and 14
Half-length of the diagonals are 10/2 = 5 and 14/2 =7
Length of side = √(5²+7²) = √74 = 8.6 units
Perimeter, P = 4 × length of side
P = 4 × 8.60 = 34.40 units
2. Given: m<ADC = 60⁰
Missing...
3. Given: a rectangle with side length of 6 and 4. The length of one of its diagonal can be found using Pythagoras' theorem:
length of diagonal = √(4²+6²) = √52 = 7.21 units
4. Given: a rectangle with a diagonal length of 16 and side length of 10
other side length = √(16²-10²) = √156 = 12.49 units
Perimeter, P = 2(L+W)
P = 2(10+12.49) = 44.98 units
5. Given: a square with diagonal length of 15
Let represent the side length of the square
x² + x² = 15²
2x² = 15²
x² = 225/2
x² = 112.5
x = √112.5 = 10.61 units
Perimeter, P = 4 × side length
P = 4×10.61 = 42.44 units
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the set of integers that satisfy (x-2)(2x+1)=2x^2-3x-2
Please help guys please
Answer: 3
Step-by-step explanation: (x-2)(2x+1)=2x^2-3x-2 = 3
please put brainiest, please.
A solid metal cuboid has length 9 cm, width 6 cm and height 4 cm
The cuboid is melted down and all metal is used to make a solid cube.
calculate the length of one side of the cube.
The cube has a side that is 6 cm long.
Volume of cuboid:-
Height × width × depth
⇒9 cm × 6 cm × 4 cm
⇒ 216 cm³
when the cuboid is melted and a cube is made using just metal.
So, the cube's volume is 216 cm³.
side³ = volume of cube
⇒ Side³ = 216
⇒ Side = ∛216
⇒ Side = ∛6×6×6
⇒Side = 6 cm
As a result, the cube's side measures 6 cm.
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Question 10 of 25
The polynomial (x-2) is a factor of the polynomial 5x² - 6x +4.
O A. True
OB. False
Answer:
B. False
Step-by-step explanation:
5x² - 6x + 4 | 5 × 4 = 20
Can't factor it normally
√b² - 4ac
-b ± ---------------
2a
√(-6)² - 4(5)(4)
-(-6) ± ---------------
2(5)
√36 - 80
6 ± ---------------
10
6 ± √-44
---------------
10
6 ± √-4 × 11
---------------
10
6 ± 2i√11
---------------
10
The answer is actually
3 ± i√11
---------------
5
I hope this helps!
Answer:
B. False
Step-by-step explanation:
You want to know if (x -2) is a factor of 5x² -6x +4.
RemainderThere are a couple of ways you can determine whether (x -2) is a factor. One is to look at the polynomial value at x=2:
5x² -6x +4 = (5x -6)x +4 = (5(2) -6)(2) +4 = 4(2) +4 = 12
The value is not 0, so (x -2) is not a factor.
Other factorAnother way to tell is to determine what the other factor would be.
The product of roots is the ratio c/a = 4/5 in the polynomial. If 2 is a root, then (4/5)/2 = 2/5 is the other root. That would mean the factorization of the polynomial is ...
(5x -2)(x -2) = 5x² -12x +4 . . . . . . not the same polynomial
The polynomial 5x² -6x +4 does not have a factor (x -2).
GraphThe graph of the polynomial has no x-intercepts, so (x -2) cannot be a factor.
Mario's Pizza just received two big orders from customers throwing parties. The first customer, Ruth, bought 4 regular pizzas and 4 deluxe pizzas and paid $112. The second customer, Gabrielle, ordered 4 regular pizzas and 1 deluxe pizza, paying a total of $52. What is the price of each pizza?
Answer:
Regular pizzas are $8 and Deluxe pizzas are $20
Step-by-step explanation:
if you go to Desmos graphing calculator you can use it to solve this problem
We are going to make to line graphs to represent each situation.
We'll let x equal the price for regular pizzas and y be equal to the price for deluxe pizzas.
For Ruth:
4x + 4x = 112 <--- type this in the first line on the graphing calculator then hit enter to make another line
For Gabrielle:
4x + 1y = 52<---- type this in the second line you made
The two lines should intercept at the point (8,20) this interception represents the price of the pizzas. The x value (8) is the price of your regular pizzas and the y value (20) is the price for your deluxe pizzas