Answer:
120 - 4.5t= 75
t = 10 minutes
Step-by-step explanation:
the equation :
120 - 4.5t= 75
the solution:
-4.5 t = 75-120
-4.5t = -45
t = -45/(-4.5) = 10 minutes
The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
Given that, a hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The balloon will reach an altitude of 75 meters above the ground.
Now, 120-75 =45 meters
Let t be the time to descends 45 meters
So, 120 - 4.5t= 75
⇒ -4.5 t = 75-120
⇒ -4.5t = -45
⇒ t = -45/(-4.5)
⇒ t = 10 minutes
Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
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simplify 1/3+√5-1/3-√5p
Answer:
Sqaure root 5 - sqaure root 5 p
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
The number of points Marcus scored in different rounds of a computer board
game is shown 236, 342, 328, 352, 352, 306, 317
What score does Marcus need in his next game to have a mean of exactly 325?
HELP FAST PLZ
Answer:583
Step-by-step explanation:
I took the test
i need help with this geometry question pleasee
Answer:i dont know
Step-by-step explanation:lol
Answer:
tmabm queria saber
Step-by-step explanation:
A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
Distance (kilometers) Price (dollars)
105 183
140 204
175 225
What is the company's initial fee?
Answer:
$120
Step-by-step explanation:
constant fee = (204-183) /(140-105)
= 21/35 = $0.6 per km
so, initial fee =
183 - (105 × 0.6)
= 183 - 63
= 120
Answer:
120
Step-by-step explanation:
trust me.
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D.
Answer:
where is the question
Step-by-step explanation:
send question
Answer:
The answer is B: 67/10x + 9
Step-by-step explanation:
I did the test
PLEASE HELP ASAP
Write the equation that represents the trigonometric graph
Answer(s):
[tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400 \\ y = 300cos\:\frac{\pi}{8}x + 400[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-4} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{8}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 300sin\:\frac{\pi}{8}x + 400,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 4\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle 4\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-4} = \frac{-\frac{\pi}{2}}{\frac{\pi}{8}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [36, 400],[/tex]from there to [tex]\displaystyle [20, 400],[/tex]they are obviously [tex]\displaystyle 16\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 16.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 400,[/tex]in which each crest is extended three hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
BET YOU CANT SOLVE THIS....
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
Find the length of the third side if necessary right in simplest radical form
Answer:
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
The longest side , which is the opposite of side of right angle is the hypotenuse ( h ). There are two other sides, the perpendicular ( p ) and the base ( b ) .In given right triangle , hypotenuse ( h ) = [tex] \sqrt{61} [/tex] , perpendicular ( p ) = 5 & base ( b ) = ?[tex] \large{ \tt{✻ \: USING \: PYTHAGOREAN\: THEOREM : }}[/tex]
[tex] \large{ \tt{❁ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
Plug the values and simplify![tex] \large{ ↦( \sqrt{61} })^{2} = {5}^{2} + {b}^{2} [/tex]
[tex] \large{↦ \: 61 = 25 + {b}^{2} }[/tex]
[tex] \large{↦25 + {b}^{2} = 61 }[/tex]
[tex] \large{↦ {b}^{2} = 61 - 25}[/tex]
[tex] \large{↦ {b}^{2} = 36}[/tex]
[tex] \large{↦ {b} = \sqrt{36} }[/tex]
[tex] \large{↦ b = \sqrt{ \underline{3 \times 3} \times \underline{ 2 \times 2} }}[/tex]
[tex] \large{↦b = 3 \times 2}[/tex]
[tex] \large{ \boxed{ \boxed{ \bold{↦b = 6 \: units }}}}[/tex]
Hence , the length of a third side is [tex] \boxed{ \tt{6 }}[/tex] units .✺ Never give up on something that you actually want !
۵Hope I helped! ツ
☼ Have a wonderful day / night ! ☃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
___________________________________
Problem:Find the length of the third side if necessary right in simplest radical form.Formula:[tex]\quad\quad\quad\quad\boxed{\tt{ {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} }}} [/tex]
Remember:a = perpendicular b = base c = hypotenuseGiven:[tex]\quad\quad\quad\quad\tt{ a = 5 } [/tex]
[tex]\quad\quad\quad\quad\tt{ b = ? } [/tex]
[tex]\quad\quad\quad\quad\tt{ {c = \sqrt{61} }} [/tex]
Solution:[tex]\quad\quad\quad\quad\tt{ {( \sqrt{61}) }^{2} = \sqrt{ {(5)}^{2} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {61}= \sqrt{ {25} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ 61 = \sqrt{ 25 + {b}}} [/tex]
Let's convert the "b" like this.[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{25 - 61 }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{36 }}[/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = 6 }[/tex]
So the final answer is:[tex]\quad\quad\quad\quad \boxed {\boxed{\tt{ \color{magenta} {b } = 6\:units }}}[/tex]
___________________________________
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✍︎ C.Rose❀
Find the area of the triangle.
18 in.
25 in.
Answer: i hope you pass that quiz
Step-by-step explanation:
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]We have -
[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
[tex]$w=\frac{74-6h}{h+6}[/tex]
Hence, the equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
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please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
10t+[tex]\geq[/tex]130+3.5t
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
PLZ Help. I have tried so many ways. I will give Brainiest! 30 points for the correct answer! Help!
Answer:
1=(w=6,C=20.80
2=(W=2,C=27.05)
3=(w=11,C=14.25)
4=(w=15,C=11.05)
Step-by-step explanation:
Just do the work
0.55x15=8.25+2.80=11.05
1.10x6=6.6+14.20=20.8
11x0.65=7.15+7.10=14.25
Out of process of elimination, 2=(W=2,C=27.05)
Answer:
Below.
Step-by-step explanation:
The second option on the bottom matches the first of the top list.
This is how we check:
w = 6 and C = 20 .80
Plug these into the top equation:
C = 14.2 + 1.10w
20.80 = 14.2 + 6(1.10) = 14.20 + 6.60 = 20.80.
So that proves that we have the right answer.
The last one on the bottom matches the second on the top list.
The third option ion the bottom matches the third equation on the top
.
The first one on bottom matches the last one the top.
The last 3 are answered in exactly the same way as the first.
Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x
Answer:
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]
Required
Add
The statement can be interpreted as:
[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]
Take LCM
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
The center of a circle is at (6,-7) and the diameter of the circle is 22. Which of the following is the equation of the circle? (Part 1 and Part 2)
Answer:
P1.H.x²+y²=34
centre[h,k]=(0,0)
point=[3,5]
now
radius=[tex]\sqrt{(0-3)²+(0-5)²}=\sqrt{34}[/tex]
now
equation of a circle is;
(x-h)²+(y-k)²=[tex]\sqrt{34}²[/tex]
x²+y²=34
P:2I.(x-6)²+(y+7)²=121
centre[h,k]=(6,-7)
diameter=22
radius[r]=22/2=11
now
equation of a circle is;
(x-h)²+(y-k)²=r²
(x-6)²+(y+7)²=11²
(x-6)²+(y+7)²=121
Find the solution to the equations.
2х-у=-3
х+у=0
0,0
-1,1
1,-1
Answer:
Option B : ( - 1 , 1 ) ==> x = -1 , y = 1
Step-by-step explanation:
2x - y = - 3 -------- ( 1 )
x + y = 0 => x = - y -------( 2 )
Substitute ( 2 ) in ( 1 ) : 2x - y = - 3
2( - y ) - y = - 3
- 2y - y = - 3
- 3y = - 3
y = 1
Substitute y in ( 2) : x + y = 0
x + 1 = 0
x = - 1
NEED HELP ASAP
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
−one thirdx + 3 = x − 1
one thirdx − 3 = −x + 1
−one thirdx + 3 = −x − 1
one thirdx + 3 = x − 1
Answer:
[tex]\frac{1}{3}x-3=-x+1[/tex]
Step-by-step explanation:
Since there are plenty of lines that can pass through a single point, he only way to solve this question is by substituting values of [tex]3[/tex] into each equation and seeing if both equations return a value of [tex]-2[/tex].
Starting with the first answer choice:
[tex]-\frac{1}{3}(3)+3=3-1,\\-1+3=3-1,\\2=2[/tex]
Since none of the equations here return a value of [tex]-2[/tex], the correct answer must not include [tex]-\frac{1}{3}x+3[/tex] or [tex]x-1[/tex].
Thus, we can eliminate answer choices A, C, and D, hence the correct answer is [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters
Answer:
bottle top
Step-by-step explanation:
I WILL MARK BRAINLIEST!
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from
a height of 110 feet, and ball 2 is dropped from a height of 276 feet. Use the
function f(t) -16t2 + h to determine the current height, f(t), of a ball dropped from a
height h, over given time t.
Write a function for the height of ball 1.
hi(t)
9514 1404 393
Answer:
h₁(t) = -16t² +110
Step-by-step explanation:
Put the given initial height into the given formula. That will give the requested function. If the function name is supposed to be h₁(t), then rename it.
f(t) = -16t² +110 . . . . . . h = 110, the initial height
h₁(t) = -16t² +110
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
AB =
cm
Answer:
48 ANS.
MAY IT HELPED U
Triple the sum of two and a number.
Answer: 3(2+x) or 3x+6
Step-by-step explanation:
Take this a step at a time
First is a sum of two and a number
set "a number" as x
sum of two and a number would be 2+x
triple it
3(2+x) or 3x+6
Answer:
3(x+2)
Step-by-step explanation:
Explanation:
The " sum of a number and 2
" means ADD them:
→ x+2
Triple that means multiply by
3
→ 3(x+2)
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
In the triangle shown, solve for X to the nearest degree.
Multiple choice!
Thank you!
Answer:
x=42°
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/10
tan x=0.9
x=[tex]tan^{-1}[/tex]0.9
x=41.98
x=42 degree
Answer:
41.987° which rounds to 42 degrees
Step-by-step explanation:
Sara bought a 24-ounce can of tomato sauce for $8.40. What is the unit price per ounce?
Answer:
$0.35
Step-by-step explanation:
8.40/24 = $0.35
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
9
Step-by-step explanation:
the 2 angles create a right angle ( indicated by the little square.)
right angles have a measure of 90 degrees
hence, 90 = 72 + 2x
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created.
90 = 72 + 2x
step 1 subtract 72 from each side
90 - 72 = 18
72 - 72 cancels out
we now have 18 = 2x
step 2 divide each side by 2
18 / 2 = 9
2x / 2 = x
we're left with x = 9
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
