a pair of listening posts picks up a sound, with one listening post recording the sound after the other. the equation x^2 /1890625 - y^2 / 7,109,375=1 represents possible locations of the sound source with units in feet. how far apart are the listening posts?
1,375 feet
2,750 feet
3,000 feet
6,000 feet

Answers

Answer 1

Answer:

I'm not sure, but it might be A

Step-by-step explanation:

Vertex is 1375. The other person said it was B, but someone else said it can't be that. The foci is (7356471.694,0) (-7356471.694,0), so can't be that. Guessing, don't take my word for it unless this gets a high rating

Answer 2

The possible location of the sound source with 1375 feet apart. Then the correct option is A.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A pair of listening posts picks up a sound, with one listening post recording the sound after the other.

The equation will be

[tex]\rm \dfrac{x^2}{1890625 }- \dfrac{y^2 }{ 7,109,375}=1[/tex]

The equation represents possible locations of the sound source with units in feet.

The equation can be written as

[tex]\rm \dfrac{x^2}{1375^2}- \dfrac{y^2 }{ 2666.34^2}=1[/tex]

The listening posts are 1375 feet apart.

More about the hyperbola link is given below.

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Related Questions

What is the first step to solving this 2 step equation.

3x + 8 = 29

3x/3x + 8 = 29/3x
3x + 8 - 8 = 29 - 8
3x/3 + 8 = 29/3
3x /3= 21/3

Answers

Answer:

Subtract 8 from both sides

Step-by-step explanation:

3x + 8 - 8 = 29 - 8

3x/3x+8=29/3x^3x+8-8=29-83x/3+8=29/33x/3=21/3

We move all terms to the left:

3x/3x+8-(29/3x^3x+8-8)=0

x^3x  

8. In the first two basketball games, Lee scored a total of
40 points. If he scored 21 points in the second game,
how many points did he score in the first game?

Answers

Answer:

19

Step-by-step explanation:

40-21+19

I really need the help

If you randomly select a letter from the phrase "Terrace Park Wolves rule," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.)

Answers

The sentence has 22 letters. There are 13 consonants.
13/22 x 100% ≈ 59,1% chance that you pick a consonant.

The probability of selecting a consonant is 0.619

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

The phrase is = "Terrace Park Wolves rule"

The number of letters in the phrase = 21 letters

The number of consonants in the phrase = 13 letters

Now ,

The probability of choosing a consonant from the given set of letters =
number of letters in the phrase / number of consonants in the phrase

Probability of choosing a consonant from the given set of letters = 13 / 21

Probability of choosing a consonant from the given set of letters = 0.619

Hence , The probability of selecting a consonant is 0.619

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Is this right? Please help me

Answers

f(x) = (x - 1)(x + 6)

x - 1 = 0 or x + 6 = 0
x = 1 or x = -6

A
3
The ratings of a popular TV show are increasing. The number of
viewers can be modeled by the function, N (2) = 1.73(1.15)",
where x is the number of weeks after the first week of June and N(x) is
the number of viewers in terms of millions. Rounded to the nearest
hundredth, how many viewers are there when x = 5?

Answers

Answer:

I need. help to

Step-by-step explanation:

i dont now i need help to

Lin’s father is paying for a $20 meal. He has a 15% off coupon for the meal. After the discount, a 7% sales tax is applied. He does NOT add tip

Answers

answer: $18.19

step by step explanation:

first you must find the amount of money that lins father gets off on the coupon by using the equation 20•0.15=3 meaning that lin’s father gets 3 dollars off

next you find the pre-tax total which in this case would be by using the equation 20-3=17 so the pre-tax total is 17 dollars

then you find the percentage of the tax that you have to add on to the pre-tax total which would be using the equation 17•0.07 and that equals 1.19 dollars in tax

finally, you add the pre-tax total with the sales tax by adding the two (17+1.19) to get a total of 18.19 dollars or $18.18

can someone help please-​

Answers

Answer:

4

Step-by-step explanation:

Slope is equal to the change in  y  over the change in  x , or rise over run.

m = change in y /change in x

The change in  x  is equal to the difference in x-coordinates (also called run), and the change in  y  is equal to the difference in y-coordinates (also called rise).

m = y 2 − y 1/ x 2 − x 1

Substitute in the values of  x  and  y  into the equation to find the slope.

m = 8 − ( 0 ) /3 − ( 1 )

Simplify.

Simplify the numerator.

m = 8 /3 − ( 1 )

Simplify the denominator.

Multiply  − 1  by  1

m = 8 /3 − 1

Subtract  1  from  3

m = 8/2

= 4

Answer:
LETTER C.

bc
M=4 so 4 letter C just answer that bc it is right!!!

7x + 49y + 21

need the answer

Answers

Answer:

factor: 7(x+7y+3)

simplifies: There are no like terms.

Step-by-step explanation:

7 (x+7 y+3)

No like terms.

Hope this helps :)

1.
Brady rented a car for two days at $25 a day plus
$0.15 per mile. If his total bill came to $102.50, how
many miles did Brady drive?

Answers

Answer:

He drove 350 miles.

Step-by-step explanation:

I need points.

Brady drove 16.67 miles extra.

What is division?

One type of operation in mathematics is division. We divide the expressions or numbers into the same number of components during this operation.

Given, Brady rented a car for two days at $25 a day plus $0.15 per mile.

His total bill is $102.50.

We divide the 102.50 by 25.

That means, 102.50 / 25

= 4 is quotient and 2.50 is remainder.

Now we divide 2.50 by 0.15

That means, 2.50 / 0.15

= 16.67 miles

Therefore, 16.67 miles, Brady drove.

For more information on the division, see ;

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anyoneeeeeee knows we thissds

Answers

This is a function because it is linear. If you draw a line at any point on the graph, the line will only intersect it once.

write an equation in slope-intercept form for the line that passes through (-3,1) and is parallel to the line described by y=4x+3

Answers

Answer:

y = 4x + 13

Step-by-step explanation:

m = 4 at point (-3,1)

y = 4x + b

1 = 4(-3) + b

1 = - 12 + b

b= 13

y = 4x + 13

what is this 59 divided 535

Answers

Answer:

9.07 [Rounded]

Step-by-step explanation:

535 divided by 59 is 9.07, which I rounded.

The value of the division 535 ÷ 59 is 9 with a remainder of 4 and the decimal form can be expressed as 9.067.

To find the value of division 535 ÷ 59, we can perform a long division.

To perform the calculation, we can use long division:

59 ) 535 ( 9

     - 531

     ______

         4

Divide the first digit of the dividend (5) by the divisor (59). Since 5 is less than 59, we bring down the next digit, making it 53.

Divide 53 by 59. The result is 0, as 53 is less than 59.

Bring down the next digit, making it 535.

Divide 535 by 59. The result is 9, as 59 can go into 535 nine times.

Multiply 9 by 59, which equals 531.

Subtract 531 from 535, which gives us a remainder of 4.

Therefore, the value of the division 535 ÷ 59 is 9 with a remainder of 4.

In decimal form, the division can be expressed as 9.067, indicating that 59 goes into 535 nine times with a remainder of 4.

To learn more about the division operation click here :

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Find the value of the following division:

535÷59

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, which will be 2 ft by 5 ft. On Erin’s scale drawing, the entire garden is 12 in. by 6 in. What are the dimensions of the herb garden on the scale drawing?

(GIVING BRAINLIEST) if you solve it

Answers

Answer:

The dimensions of the herb garden on the scale drawing are 2.4 by 6 inches

Step 1 (finding the scale factor):

12/10 (inches/feet) or 1.2 (inches/feet)

(1.2 inches in the drawing represent 1 foot in real life)

Step 2 (finding the dimensions of the herb garden on the scale drawing):

Real life dimensions are 2ft by 5ft so we multiply by the scale factor:

2ft = 2 x 1.2 = 2.4 inches

5ft = 5 x 1.2 = 6 inches

So the dimensions of the herb garden on the scale drawing are 2.4 by 6 inches.

Graph the image of the figure using the transformation given. (across y=-x)
simple easy multiple choice question

Answers

Answer:

The answer is B because if you take the line of y=-x (which you can look up on desmos if you don't know what y=-x looks like) and reflect over that line you can see that when the dot reflects over the line y=-x it goes to points (0,2)

Step-by-step explanation:

Miguel and three friends went to the movies. each boy spent 9.50 on a ticket and had the same amount of money leftover. They originally had total of $48. How much money did each person have left after buying their ticket?

Answers

Answer:

$2.5

Step-by-step explanation:

4 people went to the movies and spent $ 38 ( 9.50* 4= 38) since  48-38 = 10

they totally have 10 dollars left. 10/4 = 2.5  They each $2.5 left

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST

Answers

The answer is the last option, hope this helps lol

Answer:

C. and D.

Step-by-step explanation:

We can cross of A. because if A. were to be correct, nothing else would be correct.

Now we know it has to be B. or C. and D.

D. has to be one of them since you can't have B. and C.

To find out if it is either B. or C. we need to think into it more. So if we had the mean of 80%, that means we need to have some scores over 75%. That would be C. since it says 75% or greater.

what is 6/7 divided by 4/7 as an improper fraction

Answers

Answer:

3/2

1.5

1   1/2

Step-by-step explanation:

Answer:

Exact Form:

3

2

Decimal Form:

1.5

Mixed Number Form:

1

1

2

Step-by-step explanation:

Given f(x) = x4 – 3x3 + x – 3.

Answers

Step-by-step explanation:

hope this will help you.....

Given  [tex]f(x) = x^4 - 3x^3 + x -3[/tex]. The Limit of f (x) as x approaches negative 2 is 35.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given that

[tex]f(x) = x^4 - 3x^3 + x -3[/tex].

The Limit of f (x) as x approaches negative 2

[tex]f(x) = x^4 - 3x^3 + x -3\\ f(-2) = (-2)^4-3(-2)^3+(-2)-3\\= 16+24-2-3\\= 35[/tex].

Learn more about linear equations;

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Solve tree he system of equations by the substitution method.
12x + 3y =8
-4x = y + 8

Answers

Answer:

8x + 2y

Step-by-step explanation:

12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.

Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0

To this solve this, wrote it like this:

12x + 3y –8

-4x - y + 8

——————

8x + 2y

At a bakery, each pecan braid has 30 more milligrams
of sodium than each chocolate pastry. If 3 pecan
braids and 4 chocolate pastries have a total of 1840
milligrams of sodium, how many milligrams of
sodium does a pecan braid have?

Answers

Answer:

1840 minus 90

1750 divided by 7

Each chocolate pastry has 250 milligrams of sodium

Each pecan braid has 280 milligrams of sodium.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 12/2 = 6

Given that each pecan braid has 30 more milligrams of sodium than each chocolate pastry

If 3 pecan braids and 4 chocolate pastries have a total of 1840 milligrams of sodium.

So, the number of milligrams of sodium present in chocolate pastry as

⇒ 1840 - 90

⇒ 1750

1750 milligrams of sodium are present in chocolate pastry.

Now, the number of milligrams of sodium present in chocolate pastry as

⇒ 1750/7

1750 divided by 7

Each chocolate pastry has 250 milligrams of sodium.

So, each pecan braid has 280 milligrams of sodium.

Learn more about Arithmetic operations here:

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30 POINTS!!! I WILL MARK YOU AS BRAINLIEST!!!!

Parallelogram PQRS is shown on the coordinate grid. Parallelogram PQRS is dilated with the origin as the center of a dilation using the rule (x, y) → (1.5x, 1.5y) to create parallelogram P'Q'R'S'.

Which statement is true?

A) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is greater than 1.
B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.
C) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS because the scale factor is greater than 1.
D) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is less than 1.

Answers

Answer:

C) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS because the scale factor is greater than 1.

Step-by-step explanation:

1.5x, 1.5y is greater than 1 for the value of x.y

The correct answer will be A

Explanation:
In terms of PQRS, the parallelogram will be seen as the ratio x:1 and y:1 The new figure, P’Q’R’S will have a ratio of x:1.5 y:1.5.

Because P’Q’R’S has a larger ratio of that than the original parallelogram, the resulting figure will be larger than the original shape PQRS.

(This can also be proven in terms of dilating by a scale factor of 0.5, as this will be a smaller figure than that of the original, further proving the claim.

Please help ASAP

Solve 2^(x − 1) = 11 for x using the change of base formula log base b of y equals log y over log b.
A) −0.711

B) 1.289

C) 2.459

D) 4.459

Answers

Answer:

D

Step-by-step explanation:

2^(x-1)=11

(x-1)*ln(2)=ln(11)

x-1=ln(11)/ln(2)

x=ln(11)/ln(2)+1

get a calculator and evaluate this, you'll get

1.6 y - 0.7 + 3.8y + 2

Answers

Answer: 5.4y + 1.3

Step-by-step explanation:

Combining like terms

5.4y + 1.3

5.4y+1.3

Step-by-step explanation:

Find the circumference of the circle. 6​

Answers

Answer:

2 x 6 x 3.14 = 37.68

What is the value (x)?​

Answers

The value of x is 9, x=9

Answer:

x = 7

Step-by-step explanation:

You want to subtract 11 from 18 so you get the x alone.

18-11=7

So if you plug it back into the equation it would be

x = 7

What is 3x + 10(1-7X)

Answers

Answer:

-67x + 10

Step-by-step explanation:

3x + 10(1 - 7x)

(use distributive property)

3x + 10 - 70x

(simplify)

3x - 70x + 10

-67x + 10

Answer:

-67x+10

Step-by-step explanation:

3x+10(-7x+10)

3x+10(-7x+10)

3x-70+10

______________

3x-70+10

-67x+10

This graph represents a linear function.

Enter an equation in the form y = mx + b that represents the function described by the graph.

Answers

Answer: jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Step-by-step explanation:

Write down the coordinates of the letters A, B, C, D, E, F, G, H from the below graph..
plss my exam is tomorrow
will mark you the brainlliast

Answers

Answer:

A = (2,1)

B = (4,2)

C = (5,3)

D = (6,6)

E = (4,6)

F = (3,4)

G = (1,6)

H = (6,0)

I = ( 0, 4)

Step-by-step explanation:

tips:

the format for coordinates is (x,y)

the horizontal line is the x axis, so you plot which number of x it lands on, like how A is on the second mark on the x axis.

The vertical line is the y axis, so you plot which number of y it lands onn like how A is on the first mark

Use the drawing tools to form the correct answer on the pro
Graph the line that represents the equation y=-x + 1

Answers

Answer:

Y=3x-4

Step-by-step explanation:

DATE and time I have to wait to see what is the cheapest type I have a clash on my side to be with my referral link for my referral link for and I have to go back to the phenotype to get the rest to work on my own computer and have been working on the impostance of the

Please help I,do not understand​

Answers

Answer:

second option

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the base radius and h the height )

Here diameter = 5, so r = 5 ÷ 2 = 2.5, then

V = π (2.5)²h

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