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Related Questions
The dimensions of a right rectangular prism are shown below.
How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
Answers
Answer:
91 cubes
Step-by-step explanation:
518 cubes are needed to fill the right rectangular prism without gaps or overlaps.
What is right rectangular prism?"It is a prism whose all faces are rectangles."
What is the volume of rectangular prism?The volume of a rectangular prism with length l, width w and height h is,
V = l × w × h
What is the volume of cube?The volume of a cube having side length 'a' is given by,
[tex]V=a^3[/tex]
For given example,
The dimensions of a right rectangular prism are:
length : [tex]l=2\frac{1}{6}[/tex]
⇒ [tex]l=2.17[/tex] in.
width: [tex]w=1\frac{1}{6}[/tex]
⇒ [tex]w= 1.17[/tex] in.
height : h = 1 in.
So, the volume of a right rectangular prism would be,
⇒ V = l × w × h
⇒ V = 2.17 × 1.17 × 1
⇒ V = 2.5389 cu. in .
Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]
⇒ [tex]a=0.17[/tex]
So, the volume of a cube would be,
⇒ [tex]V=a^3[/tex]
⇒ V = (0.17)^3
⇒ V = 0.0049
Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.
volume of a right rectangular prism = n × volume of a cube
⇒ 2.5389 = n × 0.0049
⇒ 2.5389/0.0049 = n
⇒ n = 518.14
⇒ n ≈ 518
Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps
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A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.
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Answer:
Population after 6 hours is 2.44 *10^12
Step-by-step explanation:
The geometric population growth formula is
[tex]P = P_0 * e^{kt}[/tex]
Substituting the given values in above equation we get
[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]
Population after 6 hours is 2.44 *10^12
HELP ASAP!!!!!!!!!!!!!
Answers
Answer:
a) length of sides remain unchanged
Step-by-step explanation:
Please help! Brainliest to first who gets it right!
Answers
Answer:
17 converted to a decimal is 0.17
Step-by-step explanation:
Hope this helps
Evaluate 6h when h =8
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Because h converts in 8, so you multiply
Hope that helps:)
Determine the amplitude of the following graph.
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Answer:
amplitude = 3
Step-by-step explanation:
the amplitude is the vertical distance from center of the wave to the crest or the trough
The amplitude of the graph because amplitude is the maximum value of the graph of a function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a trigonometric function shown in the graph:
The amplitude is the maximum value of the graph attend or reaches in the graph.
Amplitude = [5-(-1)]/2 = 6/2 = 3
Thus, the amplitude of the graph because amplitude is the maximum value of the graph of a function.
Learn more about the function here:
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Enter the slope-intercept equation of the line shown below.
5
5
5
Answers
Answer:
y=-4x-4
Step-by-step explanation:
rise/run+ y-intercept
(
x
−
2
)
−
3
=
1
x
−
6
=
x
3
⋅
x
3
(x
−2
)
−3
=
x
−6
1
=x
3
⋅x
3
Explain why these exponential expressions are equal to each other. Justify your answer.
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Answer:
Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...
Step-by-step explanation:
Please help out will give brainliest
Answers
Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
please please help!!
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Find x. Round the the nearest whole number
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Answer:
Step-by-step explanation:
I think it should be 20 because the line is similar to the 18 line so you can round up to 20.
hello can somebody help me
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B.) True
C.) True
D.) True
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answers
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
what is the y intercept? f(x)=-2^2+4x-6
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Answer:
The y intercept is -1
Step-by-step explanation:
the y-intercept is when y = 0
f(0) = -2^2 + 4(0) - 5
f(0) = 4 - 5
f(0) = -1
Find the area of the polygon.
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Answer:
35 sq units
Step-by-step explanation:
Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D
Answers
Step-by-step explanation:
the right answer would be B
Answer:
C
Step-by-step explanation:
The point (-4 , 1) will be located
4 units towards left side of x axis . 1 unit above y axis.From figure , Point C
work out 18/36 - 2/6, give your answer in its simplest form
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Rhombus ABCD has a vertices whose coordinates are A(1,2) B(4,6) C(7,2) D(4,-2) What is the Area of the rhombus
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Answer:
24
Step-by-step explanation:
rhombus area formula= (diagonal×diagonal)÷2
=6×8
=48÷2
=24
For which of the following is x = -5 a solution? Select all that apply.
x + 10 = -5
-x2 + 50 = 25
2x1 = 10
5x<0
2x <10
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Answer:
-x2 + 50 = 25
5x<0
2x <10
Step-by-step explanation:
I hope the answer satisfies you
A rectangle garden that measures 6 feet by 8 feet is roped off to form a right triangle
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Answer:
6•8=48
48/2=24 ft
Step-by-step explanation:
The right triangle is half of the rectangle
Not sure how to do this one. Please help asap.
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Answer:
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no files please!!!!!!!!!!!
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Answer:
(-1/2, 3)
Explaination:
Multiply the second equation by 2, then add the equations together.
(4x-y=-5)
2(-2x+3y=10)
Becomes:
4x-y=-5
-4x+6y=20
Then add the equations to eliminate x.
5y=15
then solve 5y-15 for y. (Divide both sides by 5)
5y/5 = 15/5
y= 3
Okay, now we have found y where going to plug it in an equation to solve for x
Going to chosse equation : 4x-y=-5
Subsitue 3 for y in 4x - y = - 5
4x - 3 = -5
( Add 3 to both sides)
4x - 3 + 3 = - 5 + 3
4x = -2
(Divide both sides by 4 )
4x/4 = -2/4
x= -1/2
Which of the following expressions are equivalent to (x+y)-(-z)?
Choice a: (x+y)−z
Choice b: x+(y+z)
Choice c: None of the above
NEED ANSWER NOW
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Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?
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Answer:
k= - 10
Step-by-step explanation:
43 = - 8 +3(27+k)
3(27+k) = 51
27 + k = 17
k = - 10
Solve for x and then find the measure of Angle B
Angle B =
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Answer:
5
Step-by-step explanation:
thanks for the points
What work would I do to answer this question?
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9514 1404 393
Explanation:
As you know, the correct answer choices are marked.
__
Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. Any two lines with the same spacing will give the same translation.
Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.
Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.
The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)
The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.
_____
Additional comment
We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...
y -3 = -1(x -3) ⇒ y = -x +6
Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...
y -5 = -1(x -5) ⇒ y = -x +10
These are two of the equations that are offered as answer choices, so should be selected.
As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.
A gift-wrapping box is in the shape of an oblique triangular prism.
A triangular prism is shown. The bases are triangle A B C and triangle F E D. A bisector is drawn from point E to point G on side F D. Line F D is extended to point H outside of the figure. Another line is drawn from point C to point H to form a right angle. The length of E G is 10 inches, the length of F D is 15 inches, the length of C H is 8 inches, and the length of A F is 10 inches.
If EG = 10 in., FD = 15 in., CH = 8 in., and A F = 10 in., what is the height of the prism?
in.
What is the base area, B?
square inches
What is the volume of the prism?
cubic inches
Answers
Answer:
Height- 8 in
Base Area- 75 square inches
Volume- 600 cubic inches
Step-by-step explanation:
Because It´s right
Answer: 8in, 75 square inches, 600 cubic inches
correct on edge
Which rule is correct for translation 2 units right and 6 units down
Answers
Answer:
(x + 2, y - 6)
Step-by-step explanation:
When you go right or up it is in the positive.
When you go left or down it is in the negatives.
Answer:
[see below]
Step-by-step explanation:
Two units to the right is adding 2 together to the x value.
6 units down is subtracting 6 from the y-value.
The rule should be:
[tex](x,y)\rightarrow(x+2,y-6)[/tex]
Hope this helps.
Please if you know Spanish, help me here
Answers
Answer:
the difference of double one number x and another number y. so 2x-y
7+40h
Step-by-step explanation:
there isnt an explanation just the answer
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W
Answers
Answer:
C. Graph Z is the correct answer
Step-by-step explanation:
It touches 0,3 and the right line is going towards infinite positive x’s
#plato
The exponent function of the graph will be W. Then the correct option is D.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ + c
Where c is the intercept.
Let the leading coefficient will be 1.
Then the equation will be
y = (b)ˣ + c
The exponent function has a y-intercept at (0, 3).
Then the exponent function is given as,
y = (b)ˣ + 2
Some points regarding exponent function.
The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).The exponent function of the graph will be W.
Then the correct option is D.
More about the exponent link is given below.
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