Answer:
Step-by-step explanation:
A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.
Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.
Volume of Cube = 64 cube units.
The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³
Volume of a cube
volume of a cube = l³
where
l = side lengthTherefore,
Surface area of a cube = 6l²
Hence,
96 = 6l²
l² = 96 / 6
l = √16
l = 4 inches
Therefore,
volume of each cube = 4³ = 64 inches³
16 cubes forms the rectangular prsim. Therefore,
volume of rectangular prism = 16(64) = 1024 inches³
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Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)? a 180degree rotation about the origin a 90degree counterclockwise rotation about the origin and a translation down 4 units a 90degree clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90degree clockwise rotation about the origin
The transformations that can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4) is C. a 90 clockwise rotation about the origin and a reflection over the y-axis
What is a Transformation?This refers to the mathematical process where one figure or expression is changed from one form to another that has or contains a similar value.
Given the pair of points (x, y) in the original image, it has been transformed to (-y, -x).
If we allow ABC to be first transformed onto A"B"C" by a 90° clockwise rotation, this would result in:
B(4, 1) being mapped onto B''(1, -4).
Therefore, the rule mapping ABC to A"B"C" is (x, y)→(y, -x)
With this, we can conclude that the transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis
Option C is the correct transformation.
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Answer:
C
Step-by-step explanation:
Rachel ran 3 miles when she was training for a race. How many feet did she run?
Answer:
15,840 i did this in test and got 100%
Step-by-step explanation:
The total feet ran by Rachel is given by the equation A = 15,840 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total miles ran by Rachel be A = 3 miles
Now , the value of 1 mile = 5,280 feet
Substituting the values in the equation , we get
The distance of 3 miles in feet = 3 x value of 1 mile
On simplifying the equation , we get
The distance of 3 miles in feet = 3 x 5,280
The distance of 3 miles in feet = 15,840 feet
Therefore , the distance ran by Rachel A = 15,840 feet
Hence , the equation is A = 15,840 feet
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A robot vacuum advertises that it can clean a 120-square-foot room in 1/2 an hour. How many square feet could the robot vacuum clean in 1 hour?
Answer: 240 square foot room
Step-by-step explanation: They ask for how many square feet in 1 hour which is double the 1/2 hour. So, just do 120x2=240 to get your answer! (Don’t forget to label ,square-feet,)
Can you explain how the answer to this question is 8 plz!! Thank chu What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem! I promise to give the best answer brainliest!
Answer:
3.9
Step-by-step explanation:
i need more detale """))
Answer:
0.2 is 8% of 2.5
Step-by-step explanation:
question: what percent of 2.5 is 0.2
paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)
make into fraction
0.2/2.5
=2/25
therefore 0.2 is 2/25ths of 2.5 !
to convert to percentage, make the denominator /100
2/25
multiply by 4 both sides
= 8/100
8 out of 100 is 8%
=8%
hope this helps !
If angle 3 is 4x+1 and angle 4 is 7X+3. what are the measures of angle 3 and 4?
find the vertex form of 4x^2+8x-8
Answer:
4(x + 1)^2 - 12.
Step-by-step explanation:
f(x) = 4x^2 + 8x - 8
f(x) = 4(x^2 + 2x) - 8
f(x) = 4[(x + 1)^2 - 1) - 8
f(x) = 4(x + 1)^2 - 4 - 8
f(x) = 4(x + 1)^2 - 12.
165 x 0.38² to two decimal place
Answer:
23.83
Step-by-step explanation:
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). What is true about the domain and range of the function? The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. The domain is all real numbers, and the range is all real numbers less than or equal to 4. The domain is all real numbers less than or equal to 4, and the range is all real numbers.
Answer:
i would recomend tiger algeabra
Step-by-step explanation:
Answer:
C. The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation:
Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?
Answer:
(a) discriminant is positive, 76
(b) the above tells you there are two real roots
Step-by-step explanation:
the discriminant is 'b² - 4ac'
3x² - 2x - 6 = 0 ∴ a = 3, b = -2, c = -6
(-2)² - 4(3)(-6) = 4 + 72
(a) The discriminant of the quadratic equation is positive, 76.
(b) The quadratic equation tells you there are two real roots.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.
Given that the quadratic equation 3x²-6=2x.
The discriminant Of the quadratic equation is calculated by the formula below:-
D = b² - 4ac
3x² - 2x - 6 = 0 ∴
a = 3, b = -2, c = -6
Put the value of the coefficient to get the value of the discriminant.
D = (-2)² - 4(3)(-6) = 4 + 72 = 76
Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots
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A video game that normally sells for $80 is on sale for $68. What is the percent of discount for the sale price?
A) 18%
B) 17%
C) 15%
D)12%
Answer:
C
Step-by-step explanation:
68 - 80 / 80
= - 12 / 80
= - 3 / 20
= - 15%
The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?
Answer: [tex]6, 9\ \text{units}[/tex]
Step-by-step explanation:
Given
The Sum of length and width is [tex]15\ units[/tex]
length is 3 units more than the width
width is [tex]x[/tex]
length is [tex]x+3[/tex]
Their sum is 15
[tex]\Rightarrow x+x+3=15\\\Rightarrow 2x=12\\\Rightarrow x=6\ \text{units}[/tex]
Length is [tex]x+3=9\ \text{units}[/tex]
Width is [tex]x=6\ \text{units}[/tex]
Jesse sent an email to 4 people for a school project. In her email, she requested
that each person copy and send the same email to 4 additional people.
If everyone continues to send the email as requested, which equation could be
used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P.y = 4^x
R. y = 4x
a. y= 4/x
Answer:
P.y = [tex]4^{x}[/tex]
Step-by-step explanation:
From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.
Thus, the number of emails sent for a given round can be expressed as;
y = [tex]4^{x}[/tex]
Therefore, the appropriate answer is y = [tex]4^{x}[/tex].
So that for four rounds (x = 4), the number of emails sent can be determined as;
y = [tex]4^{x}[/tex]
= [tex]4^{4}[/tex]
y = 256
Answer: y=4^x
Step-by-step explanation:
Exponential growth
Y=ab^x
Determine if the following lengths could make a right triangle. (Your answer will be yes or
no.)
1) 8 cm, 12 cm, and 6 cm
I
2) 50 in., 48 in., and 14 in.
Answer:
(2) is a right angled triangle.
Step-by-step explanation:
8²+6²=64+36=100=10²≠12²
48²+14²=2304+196=2500=50²
I need quick help!!!
Answer:
it is 6...................
:) ur thoughts on this???
Answer:
it looks dead ..............
CAN SOMEONE PLEASE HELP ME
Answer:
38 degrees
Step-by-step explanation:
this is an isosceles triangle, meaning that the base angles are congruent.
the total triangle is equal to 180
so the equation would be: x=180 - (71+71)
evaluate:
x=180-142
x=38 degrees
Hope this helps :)
2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft
Answer:
Area = 559.17 sq ft
Step-by-step explanation:
Area (rectangle) = 18 x 24 = 432
Area (semi-circle = πr²÷2 = 81π/2 = 127.17
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
c
Step-by-step explanation:
Determine the value of x in the diagram.
112
x
<
68
112
=
Answer:
The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68
Step-by-step explanation:
What is the name of this circle?
number 1 is the answer circle FA
A graph of a system of two equations is shown. PLEASE HELP!!!!!
Answer:
(-4.5, 1.5)
Step-by-step explanation:
COMPOUND INTEREST:
You recently found out that your great-aunt passed away. Your aunt had decided to leave you an inheritance of 2,800,000, however, the will stipulates that this inheritance must remain in an investment account for the next ten years, with daily compound interest at a rate of 20% in exchange for taking care of your 34 cats. you will not be able to access this money until after this ten year period.
CAN SOMEONE HELP ME PLEASE
Answer:
You will have $17,336,862 by the end of the ten years
Step-by-step explanation:
The equation for compound interest is the amount(1+rate)^time
fill out the equation for 2,800,000(1.2)^10
2,800,000(6.19173642)
17336862
You will have $17,336,862 by the end of the ten years
What is the absolute value equation below:
|x|=7∣
THE ANSWER IS 7 because i did the math
what is the world population as of this question (i know it will rise pick the closest answer) 100 points to the right answer
A-325148754755
B-32680563797
C-7,552,162,050
D-74896523904
Answer:
well ik it's 7 billion something and then I searched up and the closest would be C
Answer:
The answer would be C because the world population is at about 7.9 billion as of right now.
Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a proportion)
How do you do √1/3/5
Answer:
Write
1
as a fraction with a common denominator.
−
√
5
5
−
3
5
Combine the numerators over the common denominator.
−
√
5
−
3
5
Subtract
3
from
5
.
−
√
2
5
Rewrite
√
2
5
as
√
2
√
5
.
−
√
2
√
5
Multiply
√
2
√
5
by
√
5
√
5
.
−
(
√
2
√
5
⋅
√
5
√
5
)
Combine and simplify the denominator.
Tap for more steps...
−
√
2
√
5
5
Simplify the numerator.
Tap for more steps...
−
√
10
5
The result can be shown in multiple forms.
Exact Form:
−
√
10
5
Decimal Form:
−
0.63245553
…
()|[]√≥°
789≤θ
456
Can someone help me real quick? I’ll give brainliest
In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.
Find two consecutive even integers who's sum is 34.
Answer:
Step-by-step explanation:
Let the smaller integer be x
x+x+2 =34
2x+2=34
2x=32
x=16
Smaller even integer = 16
Larger even integer = 16+2 = 18
Answer = 16,18
What in trying to find is 95-3into4 3 for 4 times. 95-3x3x3x3=_____. What can i do for this answer. ☠️~_~-_- -_-||
Answer:
14
Step-by-step explanation:
To evaluate 95 minus 3, four times
95 - 3⁴
95 - (3 * 3 * 3 * 3)
95 - (81)
95 - 81
= 14
Hence, 95 - (3 * 3 * 3 * 3) = 14
CO The town librarian bought a combination of new release movies on DVD for $20 Let x represent the number of new releases, and let y represent the number of of $500 and wanted to purchase as many DVDs as possible, which values of new-release and classic movies bought? 8. y = 45 o 10, y = 22 x = 16 = 22 O 18, y = 18
Answer:
O represents? Is it 0 or O?