Answers
Answer:
(- ∞,∞)
there is no restriction when taking cube roots
Step-by-step explanation:
Related Questions
top cylinder: 6 in, 8 in
botton cube: 9 in, 9 in, 15 in
The volume of this figure is _____ cubic inches.
Answers
Answer:
1441.08 in^3
Step-by-step explanation:
Volume of rectangular prism = 15 * 9 * 9 = 1215 in^3
radius = 3 in
Volume of the cylinder = 3^2 * 3,14 * 8 = 226.08 in^3
Total volume = 1215 + 226.08 = 1441.08 in^3
Answer:
HJHJGHJHG
Step-by-step explanation:
JGHU45565677689789
whats the lowest common multiple of 120 and 19600
Answers
Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.
Answer: 19600
Step-by-step explanation:
19600/120 = 160
find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
Answers
Answer:
a = 4
b = -2
Step-by-step explanation:
If the given function is continuous at x = 1
[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]
[tex]=2[/tex]
[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
[tex]\lim_{x \to 1} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
And for the continuity of the function at x = 1,
[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]
Therefore, (a + b) = 2 -------(1)
If the function 'f' is continuous at x = 2,
[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]
[tex]=2a+b[/tex]
[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]
[tex]=6[/tex]
[tex]\lim_{x \to 2} f(x)=3x[/tex]
[tex]=6[/tex]
Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]
2a + b = 6 -----(2)
Subtract equation (1) from (2),
(2a + b) - (a + b) = 6 - 2
a = 4
From equation (1),
4 + b = 2
b = -2
A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. How long does the object take to reach the ground? (g = 10 ms-1 )
Answers
Answer:
t ≈ 3.65 s
Step-by-step explanation:
Let the distance the object travels after leaving the balloon be x.
Using Newton's equation of motion, we have;
s = ut + ½gt²
We are given;
s = 30 m
u = -10 m/s (negative because it is an upward motion)
Thus;
30 = -10t + ½(10)t²
30 = -10t + 5t²
5t² - 10t - 30 = 0
Using quadratic formula, we have;
t ≈ 3.65 s
If 5 ^ (3k - 1) - 5 ^ (b - 3) , what is the value of b?
Answers
Answer:
-1
Step-by-step explanation:
1. Sets the exponents equal
3b-1 = b-3
2. collect like terms and calculate it
3b-b=1-3
2b= -2
(divide both side by 2)
b=-1
What percent of 45 is 27
Answers
Answer:
60%
Step-by-step explanation:
27/45 = .6
.6 = 60%
For the function G defined by G(x)=5x+3, find G(r+5)
Answers
Given function:
g(x) = 5x + 3Find
g(r+5)Substitute x with r = 5:
g(r + 5) = 5(r + 5) + 3 = 5r + 25 + 3 = 5r + 28
Answer:
G ( r + 5 ) = 5r + 28
Step-by-step explanation:
Given ;
G ( x ) = 5x + 3
To Find :-
G ( r + 5 )
Solution :-
plug r + 5 as x in the function.
G ( r + 5 ) = 5 ( r + 5 ) + 3distribute 5
G ( r + 5 ) = 5r + 25 + 3combine like terms
G ( r + 5 ) = 5r + 28One of Eric's steps is 18in long. How many steps would he take to walk 1 mile?
Answers
Answer:
3520 steps
Step-by-step explanation:
The first thing we must do is figure out how many inches are in a mile. (There are 63,360 inches in one mile). With that out of the way, we can now divide these inches by 18, since each of Eric's steps are 18 inches long, and we want to determine how many steps he would have to take. 63,360 divided by 18 is 3520. This means our answer is 3520 steps, and that is how many steps he must take to walk 1 mile. I hope you understood and please let me know if you still need help!
Answer: 3520 steps
Step-by-step explanation:
1 mile = 63360 inches1 step = 18 inUse proportions and set x = number of steps in a mile:
[tex]\frac{1}{18 in}=\frac{X}{63360 in}[/tex]
18x = 63360
x = 63360 ÷ 18 = 3520 steps.
Name a pair of vectors that are orthogonal but not perpendicular.
Answers
Answer:
For two vectors to be orthogonal it means that their dot product must be equal to zero.
Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.
In the diagram, what is AC?
Answers
find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex] ; now find AD=AB-DB=21-15=6 .Then AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in both right triangles
To find BD
BD² + CD² = BC²
BD² + 8² = 17²
BD² + 64 = 289 ( subtract 64 from both sides )
BD² = 225 ( take the square root of both sides )
BD = [tex]\sqrt{225}[/tex] = 15
Then
AD = AB - BD = 21 - 15 = 6
To find AC
AC² = AD² + CD²
AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
AC = [tex]\sqrt{100}[/tex] = 10 → C
The metric system has several advantages that include all of the following except _____.
only need to move the decimal point for conversions
prefixes are the same throughout
based on the numeral ten
only 10 base units to learn
Answers
Answer:
Only 10 base units to learn
Step-by-step explanation:
The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units
During conversion in the metric system, which is decimal based, it is only required to move the decimal point
The prefixes which are used to specify multiples and submultiples are the same through out
The decimal system is based on the powers of ten
The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)
Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn
Joseph is creating a dilation through point B with a scale factor of 2. Which statements about the dilation are correct? Check all that apply.
Triangle A B C. Angle B is a right angle.
A’ will be located on ray Ray B A.
B and B’ are the same point.
Line segment B prime C prime will be One-half as long as Line segment B C.
Line segment A B and Line segment B C will be part of the image’s sides.
The image will be inside the pre-image.
Answers
Answer:
A’ will be located on ray Ray B A.
B and B’ are the same point.
Line segment A B and Line segment BC will be part of the image’s sides.
Step-by-step explanation:
Given that the dilation is made through point B, B and B’ are the same point, A’ will be located on Ray BA, C’ will be located on Ray BC, line segment B'C' will be double than line segment BC, line segment B'A' will be double than line segment BA, and the pre-image (triangle ABC) will be inside the image (triangle A'B'C').
Answer:
A B D is your answer
Step-by-step explanation:
which eqation represents the line that passes through (-6, 7) and (-3, 6)
Answers
Answer:
The answer is y= - ⅓x + 5 in slope intercept form and y-7 = - ⅓ (x + 6) in point slope form.
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
Solution given:
it is a right angled isosceles triangle
so
perpendicular [p]=base[b]=3
hypotenuse [h]=x
we have
by using Pythagoras law
p²+b²=h²
3²+3²=h²
18=h²
h=[tex]\sqrt{18}[/tex]
x=[tex]\bold{3\sqrt{2}}[/tex]
Find the measure of the indicated angle
Answers
Answer:
67°
Step-by-step explanation:
What is the equation of the line written in general form? I need the answer ASAP
Answers
Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
A rectangle has a perimeter of 80 cm and its length is 1 cm more than twice its width. Find the dimensions of a rectangle given that its perimeter is 80 cm and its length is 1 cm more than twice its width. Set up your solution using the variables L for the length, W for the width, and P for the perimeter. Part a: Using the definition of the perimeter, write an equation for P in terms of L and W. Part b: Using the relationship given in the problem statement, write an equation for L in terms of W. Solve the equations from parts a and b. Part c: The length is ? Cm. Part d: The width is? Cm.
Answers
Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
The width of the rectangle is 13cm and the length is 27cm.
Description of a rectangleA rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.
The formula for determining the perimeter of a rectangle = 2x (length + width)
P = 2(L + W)
Perimeter = 80 length = 1 + 2w Width = w Determining the values of width and length80 = 2(1 + 2w + w)
80 = 2(1 + 3w)
40 = 1 + 3w
40 - 1 = 3w
39 = 3w
w = 13cm
Length = 1 + 2(13) = 27cm
To learn more about rectangles, please check: https://brainly.com/question/16595449
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. graph if possible also
Answers
Answer:
Step-by-step explanation:
The easiest way to solve this is with calculus, believe it or not. The position function is
[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:
v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:
[tex]s(2)=-16(2)^2+64(2)[/tex] and
s(2) = 64 feet.
So the max height is 64 feet and it is reached at 2 seconds after launching.
Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.
So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.
Answer:
Step-by-step explanation:
There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs. please help me I did not bring pencil and paper to Herman park
Answers
Answer:
18 pencils in 3 packs.
Step-by-step explanation:
Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:
36/6 = 6
There are 6 pencils in each pack.
Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:
Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)
= 3 x 6
= 18
There are 18 pencils in 3 packs.
~
two significant figures, 18.96 x 2.03 is
Answers
A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter
Answers
Answer:
Given
length of rectangular sheet of paper is 12 (1/2) i.e. (25/2)
Breadth of rectangular sheet of paper is 10 (2/3) i.e. (32/3)
But we know that perimeter of rectangle = 2 (length + breadth)
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
Answer:
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
Step-by-step explanation:
someone help me please with this algebra homework
Answers
Answer: second choice!
Step-by-step explanation:
in the figure above, x =
Answers
Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?
Answers
Answer:
2 sheep
Step-by-step explanation:
If you have 36 sheep and you sell:
first day 1/2 of them you sold 18
second day 1/3 them you sold 12
On thhe third day 1/9 them you sold 4
Therefore you sold 18 + 12 + 4 = 34
And you still have 2 sheep
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
49
Step-by-step explanation:
The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.
Therefore, let the number of red marbles be [tex]x[/tex].
We have the following equation:
[tex]\frac{x}{84}=\frac{7}{12}[/tex]
Cross-multiplying, we get:
[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]
Therefore, there are 49 red marbles in the bag.
For the diagram below, which equation is the correct use of the distance formula?
Answers
Answer:
D
Step-by-step explanation:
Using the unit circle, what is the exact value of tan pi/6?
Answers
Answer:
1/root(3)
Step-by-step explanation:
the steps are in the pic above.
The value of tan pi/6 is 0.5773502.
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Given that, what is the exact value of tan pi/6,
To find the value of tan π/6 using the unit circle:
Rotate ‘r’ anticlockwise to form pi/6 angle with the positive x-axis.
The tan of pi/6 equals the y-coordinate(0.5) divided by the x-coordinate(0.866) of the point of intersection (0.866, 0.5) of unit circle and r.
Hence, the value of tan pi/6 = y/x = 0.5774 (approx)
Learn more about trigonometric functions click;
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Area if this figure
Answers
Answer:
156
Step-by-step explanation:
area = 4*4 + 14 * 10
= 16 + 140
=156 cm²
Solve for x.
Help me please
Answers
Answer:
x = 24
Step-by-step explanation:
mathematically, in a cyclic quadrilateral, two opposite angles are supplementary
what this mean is that they add up to be 180
From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees
thus, we have it that;
(4x + 9) + (3x + 3) = 180
4x + 3x + 9 + 3 = 180
7x + 12 = 180
7x = 180-12
7x = 168
x = 168/7
x = 24
Question 1 (5 points)
Determine the value of x.
3
3V2
6
3V3
Answers
Answer:
Step-by-step explanation:
