the small intestine is about 23 feet long while the large intestine is only 5 feet long what is the ratio of the large intestine to small intestine write in 3 ways
Answer:
it's answer is 4:1
Because length of small intestine is 6 m and length of large intestine is 1•5m
So 6/1•5 =4:1
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]
`find the equatifindon of tangent and normal of parabola y²=16ax at point whose coordinate is -5a.
Answer:
[tex] \rm \displaystyle y _{ \rm tangent} = - \frac{8}{5} x - \frac{5}{2} a[/tex]
[tex] \rm \displaystyle y _{ \rm normal} = \frac{5}{8} x - \frac{765}{128} a[/tex]
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
finding the tangent line
equation of a line given by:
[tex] \displaystyle y = mx + b[/tex]
where:
m is the slopeb is the y-interceptto find m take derivative In both sides of the equation of parabola
[tex] \displaystyle \frac{d}{dx} {y}^{2} = \frac{d}{dx} 16ax [/tex]
[tex] \displaystyle 2y\frac{dy}{dx}= 16a[/tex]
divide both sides by 2y:
[tex] \displaystyle \frac{dy}{dx}= \frac{16a}{2y}[/tex]
substitute the given value of y:
[tex] \displaystyle \frac{dy}{dx}= \frac{16a}{2( - 5a)}[/tex]
simplify:
[tex] \displaystyle \frac{dy}{dx}= - \frac{8}{5}[/tex]
therefore
[tex] \displaystyle m_{ \rm tangent} = - \frac{8}{5}[/tex]
now we need to figure out the x coordinate to do so we can use the Parabola equation
[tex] \displaystyle ( - 5a {)}^{2} = 16ax [/tex]
simplify:
[tex] \displaystyle x = \frac{25}{16} a[/tex]
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
[tex] \rm \displaystyle y - ( - 5a)= - \frac{8}{5} (x - \frac{25}{16} a)[/tex]
simplify which yields:
[tex] \rm \displaystyle y = - \frac{8}{5} x - \frac{5}{2} a[/tex]
finding the equation of the normal line
normal line has negative reciprocal slope of tangent line therefore
[tex] \displaystyle m_{ \rm normal} = \frac{5}{8}[/tex]
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
[tex] \rm \displaystyle y - ( - 5a)= \frac{5}{8} (x - \frac{25}{16} a)[/tex]
simplify which yields:
[tex] \rm \displaystyle y = \frac{5}{8} x - \frac{765}{128} a[/tex]
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)
Answer:
In attachment
Step-by-step explanation:
For answer refer to attachment .
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 :)
On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
(–6, 0)
(0, –6)
(0, 2)
Answer:
A. (-6,0)
Step-by-step explanation:
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
Given that, on a coordinate plane, line AB goes through (-2, 4) and (2, -8). Point C is at (6, 4).
What is the slope of a line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
The slope is represented by the letter m, and is given by, m = tan θ = (y2 - y1)/(x2 - x1)
Now, slope of line AB with (x1, y1) = (-2, 4) and (x2, y2) = (2, -8) is
Slope = m = (-8-4)/(2(-2)
= -12/4
= -3
Slope perpendicular to AB = -1/m = -1/(-3)
=1/3
Put m=1/3 and C(6, 4) in y=mx+c, we get
4 = 1/3 (6) + c
⇒ c = 4-2
⇒ c = 2
Substitute m=1/3 and c = 2 in y = mx+c
That is, y = x/3 + 2
⇒ 3y = x+6
Point on the y-axis lies is 3(0) = x+6
⇒ x=-6
So, the coordinate is (-6, 0)
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
To learn more about the slope of a line visit:
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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.
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
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7
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:
Find the area of the triangle.
18 in.
25 in.
Answer: i hope you pass that quiz
Step-by-step explanation:
Kind of struggling with this would anyone be able to explain step by step? Id really appreciate it :)
Answer:
75
Step-by-step explanation:
this problem statement tries to confuse us. there is no pi involved - also because there are no round surfaces and edges involved.
what do you think the surface area of such a 4-sided pyramid consists of ?
think !
there are the 4 walls or sides. and then there is the bottom too (if you lift the pyramid up, yes, the "floor" or bottom also belongs to the surface area).
each "wall" or side is actually a triangle.
and the bottom is a square.
what is the area of a triangle (At) ?
At = base length × height / 2 = 3×11/2 = 33/2 in²
what is the area of a square (As) ?
it is a special form of a rectangle, where length = width.
the area of a rectangle (Ar) = length × width.
and the area of a square (As), where length = width is
As = side length × side length = length² = 3² = 9 in²
our pyramid now has 4 "walls", all of the same size, so we need 4 times the area of such a single triangle.
and then add the bottom area.
=> the pyramid surface area (Ap) is
Ap = 4 × At + As = 4×33/2 + 9 = 132/2 + 9 = 66+9 = 75 in²
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
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]
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:
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
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.
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:
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
Grandmother decides to give a monthly allowance to her granddaughter from the trust fund. The allowance is to start at $ at the birth of her granddaughter, and then increase by $ each month afterwards. Describe the grandmother's gifts, approximately, in terms of a continuous rate (in dollars per year). (Use a linearly increasing function with no constant term for .)
Answer:
[tex]y(t) =10t[/tex]
Step-by-step explanation:
The summary of the given parameters are:
[tex]a = 0[/tex] --- initial savings
[tex]m = 10[/tex] --- monthly savings
[tex]t \to[/tex] months
Required
The linear function
The linear function is calculated using:
y(t) = Initial Savings + Monthly Savings * Months
So, we have:
[tex]y(t) =a + m*t[/tex]
[tex]y(t) =0 + 10*t[/tex]
[tex]y(t) =10t[/tex]
I would greatly appreciate it if someone could help me with this. A car travelled 400 km in 5 hours. Joe calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Joe did incorrectly?
It sounds like Joe calculated 5/400 = 0.0125
He divided in the wrong order. It should be 400/5 = 80 since we divide distance over time to get the speed (or rate).
-----------------
In terms of x and y, we basically are saying
slope = rise/run
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (400 km)/(5 hrs)
slope = 80 km per hour is the speed
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]
To solve more questions on Rearranging expression, visit the link below-
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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
Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is [tex]f(x)=\sqrt{x-5}[/tex]
for function to exist
[tex]\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5[/tex]
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
Is 8ft equal to 3yd[tex]8ft=3yd?[/tex]
Answer:
False
Step-by-step explanation:
There is 3 feet in every yard so if we multiply by 3, we get 9. This is more than 8 so it is NOT equal to 3 yards.
Best of Luck!
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].
please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
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
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)
In the figure, the circle with center A transforms to produce the circle with center A'Which transformation took place?
A. dilation about the origin by factor of 3
B. vertical stretch with respect of the x-axis by a factor of 2
C. Horizontal stretch with respect to y-axis by factor.
D. dilation about the origin by a factor of 2
Answer:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
