Two expressions with an equal sign is called as Equation. If the difference between two numbers is 12. The first number is 5 less than twice the second number then the two numbers are 29 and 17.
What is Equation?Two expressions with an equal sign is called as Equation.
Let the two numbers be a and b.
Given equation is a-b=12 .....(1) and
The first number is 5 less than twice the second number i.e a=2b-5
Substitute a in (1)
2b-5-b=12
b-5=12
b=17
b=17 is the second number.
Now we have to find first number so
a=2b-5...(2)
Substitute b=17 in (2)
a=2(17)-5
=34-5
=29
Therefore the two numbers are 29 and 17.
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Convert 20 mi/hour to feet per second (5280 feet = 1 mile)
Answer:
d'accord est-ce moi ou pas la même chose que j'ai fait
Answer:
29.33333... feet per second
Step-by-step explanation:
20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280
105600÷60=1760 You divide 105600 by 60 because there are 60 minutes in an hour
1760 ÷ 60 You divide it by 60 again because there are 60 seconds in a minute
Your answer is 29.33333...
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. 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
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
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.
Investing $10,000 in a savings account at 5% annual interest compounded semiannually will result in approximately how much money after 10 years?
5(x – 10) = 30 – 15x
Answer:
x=4
Step-by-step explanation:
=5x-50=30-15x.
=20x=80.
x=4
Can some help me please
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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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.
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
-36-2(w+77)>-4(2w+52)
PLEASEEEE HELP ME PLEASEEE AM STRUGGLING
the plot below represents the function f(x) evaluate f(1) = solve f(x)=1
Check the picture below.
!!!!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
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:
What is the solution? √x+11=4
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
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.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.
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
The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds.
How far does light travel in 30 seconds?
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
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]
A store pays $ 46 for a calculator. The store marks up the price by 10%. What is the new price.
What is each expression written as a single natural logarithm?
(b) 3 ln x-2 ln 2 x
Expression written as a single natural logarithm 3 ln x-2 ln 2 x is [tex]ln(x^{} )[/tex] .
What is natural logarithm?3 ln x-2 ln 2 x is
= [tex]ln x^{3} - lnx^{2}[/tex]
= [tex]ln(x^{3} /x^{2} )[/tex]
=[tex]ln(x^{} )[/tex]
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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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.
Help I shall need to thou problem.
Answer: I got 48
Step-by-step explanation: to find the length of the larger square, 4+2+2=8, 8x10=80, plus the smaller squares on each side equal to (4x2)x2=16, and 80+16=96. 1/2 of 96 is 48
I hope this helps you! (☞ﾟヮﾟ)☞
Answer:
The correct answer is 48.
Step-by-step explanation:
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2) f(x)=-3x² + 3x
g(x)=2x+5
Find f(-4) divided by g(-4)
Answer: 20
Step-by-step explanation:
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