The frequency of the sound heard by the ambulance driver is approximately 1.05 times the frequency of the sound emitted by the siren.
We can use the Doppler effect equation to find the frequency of the sound heard by the ambulance driver.
The Doppler effect describes the change in frequency of a wave (such as sound or light) due to the relative motion of the source and the observer.
The equation for the Doppler effect for sound is:
f' = f (v + vo) / (v + vs)
where f is the frequency of the sound emitted by the siren (in Hz), f' is the frequency of the sound heard by the observer (in Hz), v is the speed of sound in air (approximately 343 m/s at room temperature), vo is the velocity of the observer (in m/s), and vs is the velocity of the source (in m/s).
In this case, the ambulance is the observer and the car is the source. Both are traveling north, so we can take their velocities as positive. Plugging in the given values, we get:
f' = f (v + vo) / (v + vs)
= f (v + 46.1) / (v + 36.2)
= f (343 + 46.1) / (343 + 36.2)
≈ 1.05 f.
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As the ambulance and car are approaching each other. The frequency heard by the driver is approximately 1.05 times the frequency of the siren.
To calculate the frequency of the sound heard by the ambulance driver, we can use the Doppler effect equation. The Doppler effect describes the change in frequency of a wave, such as sound or light, due to the relative motion of the source and the observer.
In this case, the ambulance is the observer, and the car is the source. Both are travelling north, so we can take their velocities as positive. We are given that the ambulance is travelling at a speed of 46.1 m/s, and the car is travelling at a speed of 36.2 m/s.
We also need to know the speed of sound in air, which is approximately 343 m/s at room temperature. With this information, we can use the Doppler effect equation for sound:
f' = f (v + vo) / (v + vs)
where f is the frequency of the sound emitted by the siren, f' is the frequency of the sound heard by the observer (in this case, the ambulance driver), v is the speed of sound in air, vo is the velocity of the observer (in this case, the ambulance), and vs is the velocity of the source (in this case, the car).
Plugging in the given values, we get:
f' = f (v + vo) / (v + vs)
= f (v + 46.1) / (v + 36.2)
= f (343 + 46.1) / (343 + 36.2)
≈ 1.05 f
Therefore, the frequency of the sound heard by the ambulance driver is approximately 1.05 times the frequency of the sound emitted by the siren.
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Can someone help me out with these?
"write a linear equation for line m,n,l,p"
Answer:
Step-by-step explanation:
m: y = -2x + 4
n: y = x - 1
l: y = 4
p: x = -4
m: y=-2x+4
slope: 2
2/1=2
Its negative because the line is going down from left to right
y-intercept:
it crosses the y axis at (0,4)
n: y=x-1
slope: 1
1/1=1
Its positive because the line is going up from left to right
y-intercept:
it crosses the y axis at (0,-1)
l: y=4
slope: 0
A vertical line's slope is always 0
y-intercept:
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?
To do this, we first want to see how many participants there are in total by adding both males and females.
[tex]99+121=220[/tex]
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
[tex]\frac{121}{220} =0.55[/tex]
or 55%
The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.
Answer:
r=44 rides
Step-by-step explanation:
(32-10) ÷ 0.50 = r
r=44
Answer:
44 rides
Step-by-step explanation:
r=32-10/.50
r=44
what is the area of a rectangle when the two sides are 4200 and 4500 in meters squared
Answer 17400
Step-by-step explanation:
Answer:
A=1.89×10 7 (7 as the exponent)
Explanation:
Which of the following could represent consecutive even integers?
x + 1, x + 2
x + 1, x + 3
2x, 2x + 1
Answer:
only x+1 , x+3 COULD represent consecutive even integers
Step-by-step explanation:
only x+1 , x+3 COULD represent consecutive even integers
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
Answer:
its the first one.
Step-by-step explanation:
write an expression in simplified form to represent the area of the trapezoid
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -2The equation  is written in point-slope form. What is the equation written in slope-intercept form?    
Answer:y+6 = 1/3 (x, -9)
Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.
plzz answer fasttttt
Answer:
45 square centimeters.
Step-by-step explanation:
Length(L) = 9 cm
breadth (b) = 5 cm
Area of the rectangle
= L * b
= 9 * 5
= 45 cm²
Hope it will help :)
Answer: 45 square centimeters
Step-by-step explanation: 9cm x 5cm = 45cm
Which expression is represented by the model below?
2 bars are shown next to each other and each bar is labeled
A.
8
×
2
3
B.
3
×
2
8
C.
8
×
3
2
D.
2
×
3
8
Answer
its d
Step-by-step explanation:
The expression that is represented by the model below is -
y = 2 x 3/8.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given are two labelled bars shown next to each other and each bar.
3 of the 8 bars are colored. Using fraction, we can represent it as -
{f} = 3/8
There are two such bars, so we can write -
y = 2{f}
y = 2 x 3/8
Therefore, the expression that is represented by the model below is -
y = 2 x 3/8.
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Will give brainlyest (however you spell it)
Directions: Find the missing angles or arcs. Circles may not be drawn to scale.
Answer:
7. 30° 8. 97.5° 9. 90° 10. 55° 11. 100° 12. x=32° y=64°
One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?
Answer:
23%
Step-by-step explanation:
322 ÷ 1400 = 0.23 = 23%
Step-by-step explanation:
x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23MARK ME AS BRAINLISTPLZ FOLLOW MEI need with geometry, I need the blank spaces, anything is appreciated!
Answer:
2: 139
3: 139
4:41
Answer:
Step-by-step explanation:
10) ∠2 + 41 = 180 {Linear pair}
∠2 = 180 - 41
∠2 = 139
11) ∠3 = ∠2 {Vertically opposite angles}
∠3 = 139
12) ∠4 = 41 {Vertically opposite angles}
un bebe tiene 26.000.000.000 celulas. un adulto tiene cerca de 4.94×10¹³ celulas ¿ cuantas celulas mas tiene un adulto que un recien nacido? escribe la respuesta en notacion cientifica
el adulto tiene 13 células más que el bebe
SYMBOL THAT INDICATES THE ROOT OF THE NUMBER
Answer:
The root symbol (√ ) is used to represent the square root of any number.
Answer:
[tex]\sqrt{x}[/tex]
Square Root
What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?
Answer:
coefficient
Step-by-step explanation:
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.
√7x(√x−7√7)
Thank you lovely
Step-by-step explanation:
[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]
Simplify the following expression 2n+6+4y-8
Consider the line 8x+6y= 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Mrs. Trotta drives 31 miles each day when she goes to work. How many miles does she drive in a 5 day work week?
Im a little lazy and i dont feel good so someone answer this please
What is the slope-intercept equation for the
graph shown below?
A. y = 1/2x - 1
B. y = -1/2x - 1
C. y = -1/2 + 1
D. y = 2x - 1
Epress the ratio of cooking oil(80ml) to the milk (250 ml) of the recipe
Answer:
8:25
Step-by-step explanation:
Hope this helps!
John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?
How would I go about solving this problem?
please help solve :D
Answer:
101
Step-by-step explanation:
4x+11 + 6x -1 = 180 (because they are supplementary)
10x =170
x = 17
angle L = 6(17) - 1 = 101
Angle L and Angle N are congruent. so N = 101
30 points
Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?
(Numerical Answer Only)
Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.
Answer:
add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards
Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve
Step-by-step explanation:
y−6=4(x+5) what is the slope
Answer:
4 is the slope
Step-by-step explanation:
y−6=4(x+5)
This equation is in point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
4 is the slope and ( -5,6) is a point on the line
Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y
The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The given statement is "fourteen increased by a number"
According to the given question, translate the phrase into an algebraic expression:
⇒ 14 + y
This is because the phrase "increased by" means to add a certain number to 14.
The variable y represents the number that is being added to 14.
Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.
Hence, the correct answer would be option (A).
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