It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?
Answer:
3.5 days
Step-by-step explanation:
If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.
1 pupil alone cleans the auditorium is 35 days.
10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
5.39
Step-by-step explanation:
To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:
5² + 2² = x²
Which, simplified, is:
25 + 4 = x²
And to get x, you do:
x=√(29)
So, if you want it to the nearest hundredth, it is 5.39.
square root of 29.00
Step-by-step explanation:
5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29
Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec
The time it takes for a rocket to hit the ground is 3 seconds
Step-by-step explanation:
We are given equation for height as
where
x is the time in seconds
When object hits the ground
then height becomes 0
so, we can set h(x)=0
and then we can solve for x
Subtract both sides by 18
So,
the time it takes for a rocket to hit the ground is 3 seconds
Find the slope of the line y=-1/4x+1
Answer:
slope is -1/4 the number before the x is the slope
Step-by-step explanation:
Answer:
The slope is -1/4
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +1
The slope is -1/4 and the y intercept is 1
Which expression is equivalent to 4(6 - 2x) ?
Answer:
Option A
Step-by-step explanation:
[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]
Hope this helps.
Solve pls brainliest
Answer:
$180
Step-by-step explanation:
simple interest means that interest is paid every year on the original $200
To find 3% of 200, you multiply 200(.03) = $80.
$200(3)=$60
Since the interest is the same, 3(60) = $180
Hope this helps
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]25 points! I really need some help.
Answer:
c ≤ 4 1/3
Step-by-step explanation:
10.25 + 2.25c ≤ 20 solve the equation if there was an = in the equation
10.25 + 2.25c = 20
-10.25 = -10.25
2.25c = 9.75
c = 9.75 ÷2.25
c = 4.3333
[tex]c = 4\frac{1}{3}[/tex]
Now replace the ≤ into the equation:
c ≤ 4 1/3
Identify the shapes in the picture
Answer:
we're are the images pls
Help me with this question please!! Show all work
A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point
the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q
Answer:
p = 3 and q = - 4
Step-by-step explanation:
Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q
px + y = 3 , then
2p - 3 = 3 ( add 3 to both sides )
2p = 6 ( divide both sides by 2 )
p = 3
and
x + 2y = q , then
2 + 2(- 3) = q
2 - 6 = q , so
q = - 4
Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D
Answer:
graph ab
Step-by-step explanation:
Step-by-step explanation:I just did it and got it right...
Find x. please help me!!
Answer:
I want to say B.
Step-by-step explanation:
What is the value of x
Answer:
16
Step-by-step explanation:
(3x +3) + (5x-2) + (3x+3) =180
3x +3 + 5x-2 + 3x+3 =180
11x +4=180
11x =180-4
11x=176
x=176/11
x= 16
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
Similar Questions
If cosθ =1/3 , then sinθ = _____.
https://brainly.com/question/5470328?referrer
Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
https://brainly.com/question/25682447?referrer
BrainlyCPT~
Brainly Team
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
Find the slope. simplify if needed.
(-10,5) and (2, -3)
Are the ratios 2:3 and 8:12 equivalent? Justify you answer.
Answer:Yes
Step-by-step explanation:You are multiplying the ratios by 4
Sup!! can you answer this?
also answer fast kid
Answer:
try d) 17 m
sorry if it's wrong
what is the hcf of 18 27 and 81 by prime factorization
Answer:
9
Step-by-step explanation:
It's been a while since i've dealt with prime factors hopefully this is correct.
What is the approximate area of a circle with a diameter of 10in
Answer:
A≈78.54in²
Step-by-step explanation:
Can I have brainliest pls?
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
plz help look at the pic below
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?
Step-by-step explanation:
sorry for my ugly handwriting, hope it helps
solve pls brainliest
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes