Answer:
[tex]W_s \approx5.3[/tex]
Step-by-step explanation:
From the question we are told that
Height [tex]H=3.5ft[/tex]
Weight [tex]W= 6ft[/tex]
Depth [tex]D=0.95ft[/tex]
Generally the equation for ellipses is given as
[tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]
Where
[tex]b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\[/tex]
[tex]\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1[/tex]
Generally to find y in the equation [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]
[tex]y=-b+d[/tex]
[tex]y=-1.75+0.95[/tex]
[tex]y=-0.8[/tex]
Therefore
[tex]\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1[/tex]
[tex]\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}[/tex]
[tex]\frac{x^2}{3^2} =1-0.2089795918[/tex]
[tex]X^2 =3^2(1-0.2089795918)[/tex]
[tex]X^2 =7.119183674[/tex]
[tex]X =\sqrt{7.119183674}[/tex]
[tex]X =2.66817984[/tex]
Therefore the width of the given stream is
[tex]W_s=2.66817984*2[/tex]
[tex]W_s=5.33635968[/tex]
[tex]W_s \approx5.3[/tex]
In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 498 mL. The reserve and residual volumes of air that remain in the lungs occupy about 1990 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air V(t) in the lungs as a function of time.
Answer:
The model is [tex]V(t)=2239+249\sin(\frac{\pi}{2}t)[/tex].
Step-by-step explanation:
Consider the given information.
The volume of air inside the lungs increases or decreases so for this we will use the basic sine function [tex]B(t)=d+a\sin[b(t+ \frac{c}{a})][/tex] as our parent function.
Let us assume that the phase shift is 0 it means [tex]\frac{c}{b}=0[/tex].
The air that moves into and out of the lungs is about 498 mL.
It means the amplitude of the function will vary by 249(half of 498).
The reserve and residual volumes of air that remains in the lungs occupy about 1990 mL which is the minimum air in the lungs.
So, the max air will be: 1990+498 =2488 mL
And the average will be d=1990+249=2239 ml
The horizontal stretch will be [tex]b=\frac{2\pi}{4}=\frac{\pi}{2}[/tex] as we know that period of [tex]y=\sin t[/tex] is [tex]2\pi[/tex] and respiratory cycle for an average human takes about 4 seconds.
Hence, the model is [tex]V(t)=2239+249\sin(\frac{\pi}{2}t)[/tex].
If the test for a disease is accurate 45% of the time, how often will it come
back negative if a patient has the disease?
A. 65% of the time
B. 45% of the time
C. 55% of the time
D. 35% of the time
SUB
Answer:
C. 55% of the time
Step-by-step explanation:
We're finding how much is left after we take 45%, so our equation is:
100 - 45 = 55
So, it will come back negative 55% if a patient has the disease.
Emergency plsssssssssssss answer this what is 0.43 rounded to the nearest hundredth
Answer:
0.430
Step-by-step explanation:
Ayden had a goal of finishing painting at least 80% of the 500 square meters of a house's walls by today.
He actually finished painting 415 square meters today.
Did Ayden meet his goal? Why?
Answer:
Yes, i do believe he did
Step-by-step explanation:
I hope this helps you out! :)
Which expression is equivalent to 15c+20?
Answer:
5 (3 c + 4)
Step-by-step explanation:
We factor out the 5, to get 5(3c+4)
We check by distributing the 5, and we get 15c+20 which is correct!
Hope this helps
The expression equivalent to 15c + 20 is 5(3c + 4).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is 15c + 20.
We have to find an equivalent expression of this using the distributive property.
For three numbers or expressions a, b and c, Distributive property states that,
a (b + c) = ab + ac
In the expression of 15c + 20, write each terms as a multiple of a common factor.
15c = 5 × 3c
20 = 5 × 4
15c + 20 = (5 × 3c) + (5 × 4)
= 5 (3c + 4)
Hence the correct expression which is equivalent to the given expression is 5 (3c + 4).
Learn more about Expressions here :
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Your question is incomplete. The complete question is given below :
I really need help can someone please answer this what is 0.5x12h
Step-by-step explanation:
[tex]0.5 \times 12h = 6h[/tex]
Which operation would help solve for y?
y+6=52
Choose 1 answers
Adding six to each side
Subtracting six from each side
Adding 52 to each side
Şubtracting 52 from each side
After applying the correct operation to each side, what is y?
Y=
Answer:
Step-by-step explanation:
the first step is subtractiong 6 from each side
y+6=52
y+6-6=52-6
y=46
Answer: It would be Y+6=52
Which equation represents the line that passes through the point (-1.2, -5.6) and has a slope of -2.9
Answer:
[tex]y+5.6 = -2.9 (x + 1.2)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y -y_1 = m(x- x_1)[/tex] -------------(1)
Here
[tex]m =-2.9[/tex] and [tex](x_1, y_1) = (-1.2, -5.6)[/tex]
Substituting values in equation (1)
[tex]y+5.6 = -2.9 (x + 1.2)[/tex]
I need help asap please
WARN ME AGAIN SEE WHAT HAPPENS I GAVE YOU A SITE AND IT WAS YOU OPTION TO IGNORE IT SO DON'T EVER DO THAT AGAIN
L O S E R
In Jasón home room 8/30 of the students like soccer best , 6/15 like volleyball best , and 5/15 like baseball best . Select true or false . A. In simplest form 2/15 of the students like soccer best , B. 3/5 of the students like volleyball best , C. 1/3 of the students like baseball best .
Answer:
False and B
Step-by-step explanation:
I pay 25,000 for a car it depreciates at a rate of 10% what is the value of the car in 7 year
Answer:
2500
Step-by-step explanation:
simple math! ( i'll mark you)
Answer:
234
Step-by-step explanation:
Glad to help mark me
Answer:9,540
Step-by-step explanation:
Use the distributive property to simplify the expression 5(4x + 8)
Answer:
20x+40
Step-by-step explanation:
Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40
now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40
Answer:
[tex]\huge\boxed{\sf{20x+40}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac [tex]\mapsto[/tex] we multiply a times b and c
Now, simplify the given expression:
5(4x+8)
20x+40
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Which of the following figures is a polygon?
OA
3
OD
Answer:
b
hope this helps:)
Step-by-step explanation:
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening
Answer:
o
Step-by-step explanation:
What value of c makes the equation true? −3−3/4(c−4)=5/4 Drag and drop the correct number in the box. c = Response area
will give brainlyst
Answer:
c = -5/3
Step-by-step explanation:
Solve using algebra.
After you do 11 steps, that is the answer.
Please mark as Brainliest!!!Factor using GCF.
Show your work!
2) 3x^5 - 2x^4 + 5x^2
If x equals 4hd that means 2^ is not multipication and it is subtracting but we turn that into nagitive and that will turn into a 3 just like mentioned so it is 35
Solve 3x^2−5x+8=0 using the Quadratic Formula
Answer:
The correct answer is,
[tex]x = \frac{5 + \sqrt{71i} }{6} \frac{5 - \sqrt{71i} }{6} [/tex]
there is a come between these two things.
I couldn't find the coma.
sorry.
Below is a 6-sided dice with the numbers 1-6. What is the probability of landing on a number greater than 0?
Write your answer as a fraction. Then choose the
likelihood of the event.
Submit
Impossible
Unlikely (Less than 1/2)
Neither Likely nor Unlikely (1/2 or Even Chance)
Likely (Greater than 1/2)
Certain (100%)
HELP ILL GIVE YALL BRAINLIEST
please hurry!!!
For the class picnic, 25 liters of punch were purchased. 6 liters were left over. How many gallons of punch were used at the picnic? (1 liter is approximately 0.26 gallons)
Answer:
Gallons of punch used = 4.94 gallons
Step-by-step explanation:
Given that:
Liters of punch purchased = 25 liters
Liters of punch left over = 6 liters
Liters of punch used = 25 - 6 = 19 liters
According to the given statement;
1 liter = 0.26 gallons
19 liters = 0.26*19 gallons
19 liters = 4.94 gallons
Hence,
Gallons of punch used = 4.94 gallons
WHICH ONE IS CORRECT
Answer:
its 23
Step-by-step explanation:
46 ÷ 2
= 23
divide by 2 because it says " bd bisects abc "
3 is what percent of 75?
Answer:
4%
Step-by-step explanation:
First, we turn this into a fraction:
3/75 = 1/25 = 4%
So 3 is 4% of 75
Using the percentage expression 4 percent of the number 75 is 3.
We have,
Given percentage = M
Under the condition, an expression can be written as,
M% of 75 = 3
Solve for M.
M/100 x 75 = 3
Multiply 100 on both sides.
75M = 3 x 100
75M = 300
Divide 75 on both sides.
M = 300/75
M = 4
Cross checked.
4% of 755
4/100 x 75
4/4 x 3
1 x 3
3
True.
Thus,
4 percent of number 75 is 3.
Learn more about percentages here:
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Use the information below.
• Low tide is 1 foot below the average water level.
• High tide is 5 feet higher than low tide.
Write an integer that represents the average water level relative to high tide.
The average water level relative to high tide is represented by the integer
. need help asap please I am not a college student I go to middle school.
Answer:
how is this middle school?
Step-by-step explanation:
what the heck
If ab and cd are congruent what is the measure of chord ab
Answer:
the measure of cord AB will be same as cord CD that is 21 units
because these both are congruent
Difficult Math. Up to the challenge?
Answer:
We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.
So:
4x+10+12x-6+3x+5= 19x+9=180
19x=171 ... so: x= 171/19 = 9.
So ABC = 102 .. Obtuse angle
BAC = 46 .. Acute angle
BCA = 32 .. Acute Angle
Edit:
Angle 1 = 180 - BAC = 180 - 46 = 134
Angle 2= 180 - ABC = 180 - 102 = 78
Which of the following is equivalent to sin(30°)?
Question 2 options:
A) cos(60°)
B) cos(90°)
C) sin(60°)
D) cos(30°)
Answer:
A. cos(60°)
Step-by-step explanation:
sin(30 degrees) = 0.5
cos(60°) = 0.5
cos(90°) = 0
sin(60°) = √[tex]\frac{3}{2}[/tex]
cos(30°) = √[tex]\frac{3}{2}[/tex]
so it's A.
Ace
The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The equivalent is the expression that is in different forms but is equal to the same value.
The expression is given below.
⇒ sin(30°)
We know that the formula which is written as,
sin (90° - x) = cos x
Then by the above property, the expression is written as,
sin 30° = sin (90° - 30°) = cos x
sin 30° = cos 60°
The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.
More about the trigonometry link is given below.
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What is the value of a in the equation below? 2a + 3 = 4a + 5
Answer:
2a+3=4a+5
2a-4a=5-3
-2a=2
a=-1
Answer:
Oh and btw im doin this just to tell you the guy is right because i got it right with this remember
Step-by-step explanation:
2a+3=4a+5
2a-4a=5-3
-2a=2
a=-1 your welcome
CAN SOMEONE PLEASE HELP ME WITH THIS!
Answer: Ummm- the picture is all blank
The angles are equivalent to each other.
Do the rest yourself referencing to what I did ^-^
Simplify to create an equivalent expression, Explain why?
5(2p+1)+3(3p-1)
Greta threw the ball
632 feet. Willa threw
her ball 928 feet. How
many feet longer did
Willa throw her ball?
Plz help
Answer:
296 feet
Step-by-step explanation:
928 - 632 = 296