Answer:
[tex] {6}^{12} \times 36 =[/tex]
Answer:
216
Step-by-step explanation:
If x = 8 & y = -9
Put in place -3 (8)(-9)
-24 * -9 = 216
2 μm
2 nm
2 mm
Which is bigger ? And which is smaller?
The bigger measurement is 2 mm and the smaller measurement is
2 μm.
Given, the measurements are :
2 μm
we know that to convert from micro meter to meter, we use:
1 μm = 0.01 meter.
2 μm = 2 × 0.01 m
2 μm = 0.02 m
2 μm = 2/100
2 μm = 2 × 10⁻² m
for 2 nm
we know that to convert from nano meter to meter, we use:
1 nm = 10⁻⁹ meters.
2 nm = 2 × 10⁻⁹ meters.
for 2 mm
we know that to convert from milli meter to meter, we use:
1 mm = 0.001 meters.
2 mm = 2 × 0.001 m
2 mm = 0.002 m
2 mm = 2/1000 m
2 mm = 2 × 10⁻³ m
therefore , 2 × 10⁻² m > 2 × 10⁻³ m > 2 × 10⁻⁹ m
we can notice that millimeter is the greatest and nanometer is the smallest.
Hence we get the greater and smaller measurements.
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The perimeter P of a triangle is equal to the sum of the lengths of sides AB and C
Answer:
P = a + b + c
Step-by-step explanation:
A triangle has 3 sides. Perimeter is the measurement of the length around a shape. If you add sides A, B, and C, you will get the perimeter. You can also find a missing side by subtracting two known sides of the triangle if you know the perimeter.
ced hanger diagram:
A circle has a mass of 6 grams and a square has a mass of 3 grams. Which is the mass
of a triangle?
Solve each equation. Show your work.
The mass of the triangle from the hanger diagram is found as 5 grams.
What is termed as the equilibrium of masses?When all of the forces acting on the object are balanced, the object is said to be in equilibrium. If the rightward forces are balanced by that of the leftward forces as well as the upward forces are balanced by that of the downward forces, the forces are said to be balanced. This does not necessarily imply that all of the forces seem to be equal to one another.For the given question;
Let the mass of each triangle be 'T'.
The mass of each circle be 'C'.
The mass of circle is 6 grams; C = 6 grams.
Let the mass of each square be 'S'.
The mass of each square is given as 3 grams; S = 3 grams.
As, the hanger is in equilibrium.
Mass of the left side = mass of the right side;
Put the values;
2T + 6S + 3C = 2C + 3S + 5T
Simplify the equation;
6S + 3C - 2C - 3S = 5T - 2T
3S + C = 3T
Or
3T = 3S + C
Put the values
3T = 3×3 + 6
3T = 15
T = 5
Thus, the mass of each triangle is 5 grams.
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Write each expression in simplest form. (x¹/₃/y⁻³/₃)⁹
The simplest form of the expression [tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex] is yx³.
The simplest form of a fraction is one with a reasonably prime denominator and numerator. It indicates that, except for 1, there is no common factor between the fraction's numerator (upper portion or top) and denominator (lower part or bottom).
A fraction is a number that has been expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. In a complex fraction, a fraction can be found in either the numerator or the denominator.
An expression is made up of a number, a variable, or a combination of a number, a variable, and operation symbols. Two expressions joined by an equal sign form an equation.
Consider the expression,
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=\frac{x^{\frac{1}{3} }}{y^{-1}}[/tex]
We know, x⁻¹ = 1/x
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{\frac{1}{3} })^{9}[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(y^{9})(x^{\frac{1}{3}\times 9})[/tex]
[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{3})[/tex]
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Which ordered pair could you remove from the relation {(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)} so that it becomes a function?
(1, 3) or (2, 3)
(1, 3) or (3, 1)
(2, 2) or (2, 3)
(2, 3) or (3, 1)
Answer:
(2, 2) or (2, 3)
Step-by-step explanation:
two of the same number in x place means it is not a function. elimination on of these will make it a function.
A store pays $ 46 for a calculator. The store marks up the price by 10%. What is the new price.
The scale of a map is 1cm : 79 km. What is the actual distance between two towns that are 4cm apart on the map?
Answer:
316 km
Step-by-step explanation:
multiply 79 x 4
4. Which of the following are NOT undefined terms in Euclidean Geometry?
1. point
II. segment
III. line
IV. angle
Answer: The answers are ll and lll.
Investing $10,000 in a savings account at 5% annual interest compounded semiannually will result in approximately how much money after 10 years?
!!!!Please help!!! I am dying!!
Answer:
Therefore (x,y)=(3,7)
Step-by-step explanation:
put the second equation into the first
x+4=3x-2
x-3x=-2-4
-2x=-6
x=3
plug x=3 into the second equation
y=3+4=7
A six sided die has been tossed 4 times. how many sequences of these 4 outcomes contain at least one number greater than 4?
Answer: 1040 sequences
Step-by-step explanation:
a die has 6 faces, 6x6x6x6 = 1296 possible sequences in whole
you have to get rid of the sequences that don't work, 4x4x4x4 = 256 (these will fail because you need at least one number that is bigger than 4)
1296 (whole)-256 (failed) = 1040 sequences that could work
2) f(x)=-3x² + 3x
g(x)=2x+5
Find f(-4) divided by g(-4)
Answer: 20
Step-by-step explanation:
pls help w this pretty urgent
Answer:
[tex]\begin{aligned} \textsf{a)} \quad & \textsf{Position function}: \quad s(t) = -16t^2+1362 \\ & \textsf{Velocity function}: \quad v(t) = -32t\end{aligned}[/tex]
[tex]\textsf{b)} \quad \overline{v}=-48\:\: \sf ft/s[/tex]
[tex]\begin{aligned}\textsf{c)} \quad v(1) & = -32\:\: \sf ft/s\\ v(2) & = -64\:\: \sf ft/s\end{aligned}[/tex]
[tex]\textsf{d)} \quad t = 9.226\:\: \sf s \:\: (3\: d.p.)[/tex]
[tex]\textsf{e)} \quad v = -292.242\:\: \sf ft/s \:\: (3\: d.p.)[/tex]
Step-by-step explanation:
Given:
[tex]s(t)=-16t^2+v_0t+s_0[/tex]
Part (a)If v₀ is the initial velocity, and s₀ is the initial position:
[tex]\implies v_0=0[/tex]
[tex]\implies s_0=1362[/tex]
Therefore:
[tex]\begin{aligned}\textsf{Position function}: \quad s(t) & =-16t^2+0+1362\\ \implies s(t) & = -16t^2+1362 \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Velocity function}: \quad v(t)&=s\:'(t)\\ \implies v(t) &=-32t\end{aligned}[/tex]
Part (b)Average velocity is the change in displacement divided by the change in time:
[tex]\overline{v}=\dfrac{s(t_2)-s(t_1)}{t_2-t_1}[/tex]
Given interval: 1 ≤ t ≤ 2
[tex]\implies t_1=1[/tex]
[tex]\implies t_2=2[/tex]
Find the values of s(t) at t = 1 and t = 2:
[tex]\implies s(1)=-16(1)^2+1362=1346[/tex]
[tex]\implies s(2)=-16(2)^2+1362=1298[/tex]
Substitute the values into the formula:
[tex]\overline{v}=\dfrac{s(2)-s(1)}{2-1}=\dfrac{1298-1346}{2-1}=-48\:\: \sf ft/s[/tex]
Part (c)To find the velocity at t = 1 and t = 2, substitute these values into the velocity function found in part (a):
[tex]\implies v(1)=-32(1)=-32\:\: \sf ft/s[/tex]
[tex]\implies v(2)=-32(2)=-64\:\: \sf ft/s[/tex]
Part (d)The time required for the coin to reach ground level is when s(t) = 0:
[tex]\begin{aligned}s(t) & = 0\\-16t^2+1362 & = 0\\16t^2 & = 1362\\t^2 & = 85.125\\t & = \sqrt{85.125}\\t & = 9.226\: \sf s\:\:(3\:d.p.)\end{aligned}[/tex]
Part (e)To find the velocity of the coin at impact with the ground, substitute the found value of t from part (d) into the equation for velocity found in part (a):
[tex]\begin{aligned}v(t) & = -32t\\\implies v(\sqrt{85.125}) & = -32(\sqrt{85.125})\\ v & =-295.242\:\: \sf ft/s\:\:(3\:d.p.)\end{aligned}[/tex]
Note: I have used the non-rounded value of t from part (d) for accuracy.
PLEASEEEE HELP ME PLEASEEE AM STRUGGLING
11 + 3р — 7 = бр + 5 — 3р
Answer:
No solution, or empty set.
Step-by-step explanation:
If you solve this for p you will get 4 = 5, which is false. Therefore there is no solution to this equation.
What does a residual value of 1.3 mean when referring to the line of best fit of a data set?
A data point is 1.3 units above the line of best fit.
A data point is 1.3 units below the line of best fit.
The line of best fit has a slope of –1.3
The line of best fit has a slope of 1.3.
The line of best fit of a data set will be a data point is 1.3 units above the line of best fit. Option A is correct.
What is the line of best-fit ?The line of the greatest fit is a mathematical concept that links points scattered throughout a graph.
It's a sort of linear regression that makes use of scatter data to determine the best approach to characterize the relationship between the dots.
The line of best fit of a data set will be a data point is 1.3 units above the line of best fit.
Hence, option A is correct.
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Answer:
A
Step-by-step explanation:
Solve the inequality
x²(x + 2)(x-7) ≥0
Answer:
this is not an answer please help me how to ask another question in brainly
5(x – 10) = 30 – 15x
Answer:
x=4
Step-by-step explanation:
=5x-50=30-15x.
=20x=80.
x=4
the plot below represents the function f(x) evaluate f(1) = solve f(x)=1
Check the picture below.
Jacob is playing miniature golf. He states that he cannot hit the ball from the start, bounce it off the back wall once, and reach the hole in one shot. Is Jacob correct? Label the diagram to support your answer.
Jacob is playing miniature golf, then the ball is can not reach the hole in one shot, so Jacob is correct.
Jacob is playing miniature golf.
He states that he cannot hit the ball from the start.
Bounce it off the back wall once
And reach the hole in one shot.
So, we can write,
The ball is need to bounce off the back wall once.
The ball is can not reach the hole in one shot.
Jacob is correct.
It is not possible to hit the ball from the start,
Bounce it off the back wall once,
And reach the hole in one shot.
Therefore, Jacob is playing miniature golf, Then the Jacob is correct.
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Find the value of x to the nearest tenth.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Using the pythagorean theorem in the right triangle:
[tex]1^2 + 2^2 = c^2\\1 + 4 = c^2\\c = \sqrt5[/tex]
Using the pythagorean theorem in the left triangle:
[tex]x^2 + (\sqrt5)^2 = 3^2\\x^2 + 5 = 9\\x^2 = 4\\x = 2[/tex]
-36-2(w+77)>-4(2w+52)
two is subtracted from a number, and then the differnece is divided by 3. te result is 30 what is the number
Hannah painted a 50 square foot wall in her home. The graph shows the remaining Square feet to paint as a linear function of X, The number of minutes spent painting. what is the domain and range of the function?
Answer:
Domain: 0 ≤ x ≤ 25
Range: 0 ≤ y ≤ 50 where y = f(x)
Step-by-step explanation:
Domain is the set of all x values. Here x is the number of minutes spent painting and we can see its minimum value is y=0, maximum value is y=25 os domain of function is 0 ≤ x ≤ 25
Range of a function is the set of values of the function ie the outputs produced the function.
Let y = f(x) Then the y values range from minimum of y = 0 to maximum of y = 50. So range is 0 ≤ y ≤ 50 which is 0 ≤ y ≤ 50
Find the value of x. PLEASE HELP
Subject: Proportions in Similar Triangles
Answer:
X=7
Step-by-step explanation:
use concept of similarity proportion between big and small triangle enclosed into it
Find the least integer greater than each number. Do not use a calculator.
log₃38
The least integer greater than each number for log₃38 = 4
All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
Let y = log₃38
We know, logₐ x = y, only if [tex]a^{y}[/tex]= x
Therefore, [tex]3^{y}[/tex] = 38
So, we must find an integer y such that [tex]3^{y}[/tex] = 38
[tex]3^{y}[/tex] = 38
(As, 3³ = 27; 3⁴ = 81)
(Since, 3³ = 27 and 3⁴ = 81, the answer will be 3⁴ as 3⁴ > log₃38)
In this case, y = 4 will be the least integer greater than each number to satisfy this equation.
Therefore, the ultimate answer to the equation is log₃38 = 4
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6(6) ÷ (2 · 9) in order of operation
Answer:
2
Step-by-step explanation:
6(6) ÷ ( 2 x 9)
= 36 ÷ 18
=2
Tip:
Use BODMAS whenever order of operations question is there
Bracket
Orders (power, roots, indices)
Division
Multiplication
Addition
Subtraction
What is the total surface area of the square pyramid?
48 square meters
64 square meters
76 square meters
88 square meters
Greetings from Brasil...
Observing the attached figure we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. With this information we can conclude that:
Looking at the attached figure, we conclude that we have a square of side 4 and 4 triangles of base 4 and height 6. Let At be the area of the triangle and As be the area of the square. With this information we can conclude that:
Atotal = 4At + As
Atotal = 4(4.6/2) + 4²
Atotal = 64a.u.2.)A cylinder which has a height of 90cm and diameter 14cm is closed at both ends find in its total surface area is the volume of the cylinder [take π = 22/7 ].
3.) A container is 24m long, 9m wide and 8m high - How many books can it hold if each bottle book is 20cm bong, 16cm wide and 6cm thick? Solution. d
Answer:
A =3960 as the surface area. B=309 books.
Step-by-step explanation:
SA=
[tex]2\pirh + \pir \times r[/tex]
so 2*22/7*7*90+22/7*7*7.
=
[tex]3960cm {}^{2} [/tex]
B.get the volume of the box - volume of the book
4 teenagers who work at the same rate clean a house in 6 hour how long does it take for 3 boys
Time taken by 3 boys to clean a house is 8 hours.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now, Time taken by 4 teenagers to clean a house = 6 hours
So, Time taken by 1 boy to clean a house = 4 * 6 = 24 hours
Hence, Time taken by 3 boys to clean a house = 24 ÷ 3
= 8 hours.
Therefore, Time taken by 3 boys to clean a house is 8 hours.
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Answer: 8 hours
Step-by-step explanation:
I also do rsm