A car and an emergency are heading toward each other. The car is traveling at a speed of 30
mph or 44 feet per second. The emergency vehicle is traveling at a speed of 50 mph or about
74 feet per second. If the vehicles are 1000 feet apart and the conditions are ideal, in how
many seconds will the drive of the car first hear the siren?

Answers

Answer 1

If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.

Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.

We are required to find the seconds after which the driver of the car first hear the siren.

Speed is basically the distance that a vehicle covers in a particular period of time.

Speed=Distance/Time

Time=Distance/Speed

Total speed in feet per second=44+74=118 feet per second

Time=1000/118

=8.48 seconds

Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.

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Related Questions

Which is an expression of degree 4 which has a leading coefficient of 9 and a
quadratic term with coefficient of 10.
3
A. 9x² + 2x³ + 10x²
B. 10x + 2x³ + 9x²
C. 10x² + 9x + 4
2
D. 4 + 9x + 10x

Answers

Answer:

None of those answers contain a polynomial of degree 4. None have a leading coefficient of 9.

Step-by-step explanation:

The degree of such a polynomial is equal to the highest exponent on x.

The leading coefficient is the coefficient for the highest exponent of x.

Y=9
X=6
A=4
F=5
T=7
3x+4t=

Answers

Answer:

3*x+4*7p

3x+28p ok hard

Y/6 - 3 = -11


Show your work

Answers

[tex]\frac{Y}{6} - 3 = -11[/tex]

[tex]\frac{Y}{6} - \frac{18}{6} = -\frac{66}{6}[/tex]

[tex]Y - 18 = -66[/tex]

[tex]Y = -66 + 18 = -48[/tex]

Step-by-step solution, please?

Answers

Answer:

28y - 4

Step-by-step explanation:

multiply 28 by everything in the bracket

28y - (28/7)

28y - 4

Just give me the answer, Dont explain, Thank you.

Answers

The general term of the function is y = 4000 + 100x

How to determine the general term of the function?

The given parameters are

Guaranteed = $4000

Monthly raise = $100

Let the number of months be x, and the total earning be y

So, we have:

y = Guaranteed + Monthly raise * x

This gives

y = 4000 + 100 * x

Evaluate

y = 4000 + 100x

Hence, the general term of the function is y = 4000 + 100x

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Simplify the following expression.

(48x + 50y) - (35x - 5y)
A.
13x + 55y
B.
13x - 45y
C.
13x - 55y
D.
13x + 45y

Answers

Answer:

B

Step-by-step explanation:

(48x-50y)-(35x-5y)

48x-50y-35x+5y

13x-45y

Line l passes through point (6,0) and line p is the graph of 2x-3y=4. If l is perpendicular to line p, what is the equation of l.

Answers

Equation of line p:

[tex]{\sf{2x - 3y = 4}}[/tex]

[tex]{\sf{y = \frac{2x}{3} - \frac{4}{3}}}[/tex]

Slope of line p (m):

[tex]{\sf{\frac{2}{3}}} [/tex]

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

[tex]{\sf{m \times m2 = - 1}}[/tex]

[tex]{\sf{ \frac{2}{3} \times m2 = - 1}}[/tex]

[tex]{\sf{m2 = \frac{ - 3}{2}}}[/tex]

Since, line l passes through points (6, 0).

We apply,

[tex]{\sf{(y - y1) = m2(x - x1)}}[/tex]

[tex]{\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} [/tex]

[tex]{\sf{2y - 0 = - 3x + 18}}[/tex]

[tex]{\sf{3x + 2y - 18 = 0}}[/tex]

The equation of line l:

[tex]{\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}[/tex]

What is the volume of this rectangular prism? 5 4 cm 4 3 CT | C 3 5 cm cm​

Answers

(5/4)•(4/3)•(3/5)

So you multiply all of them basically

A bird flies from the bottom of a canyon that is 56 1/10 feet below sea level to a nest that is 822 3/10 feet above sea level. What is the difference in elevation between the bottom of the canyon and thr birds best

Answers

A bird flies from a nest that is 822 3/10 feet above sea level to the bottom of a canyon that is 56 1/10 feet below it.

The canyon is 737 feet higher than the bird's nest, by a difference of 3 feet.

based on the facts provided, we know that;

The depth below sea level is 52 3/ 5 feet, hence the value would be negative.

The height above sea level is 789 3/ 10, which requires a positive number.

Let's convert the improper fractions from the mixed fractions;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 ft

the canyon's and the bird's nest's contrasting elevations;

= -52. 6 + 789. 9

Equals 737. 3 feet

Consequently, there is a 737. 3 foot difference in height between the canyon and the bird's nest.

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During its year ending june 31, 2021, giant purchased, $3,551,723 of inventory for sale in its stores. how much did giant recognize/record as cost of goods sold for the year ended june 31, 2021?

Answers

Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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6. Subtract (-2)-3-6. Hint: Using the order of operations, first subtract the first two numbers, then subtract 6 from the result.
O-7
07
O 11
O-11

Answers

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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What is the perimeter of the figure?

Answers

Answer:

16 + 16 + 27 x 3 = 113 m

Step-by-step explanation:

perimeter is the outer length of all the sides of the figure so add two sides of triangle and three sides of the square as one of the side is inside the figure.

Answer:

Step-by-step explanation:

perimeter = 16 + 16 + 27+27+27 =113

ANSWER=113

PLEASEEEE HELP MEEEEEEEEEEEEEEE

Answers

Using translation concepts, we have that:

a) The parent function is f(x) = |x|.

b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.

c) The graph is given at the end of the answer.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x|.

The transformations are given as follows:

Reflection over the x-axis, as the function was multiplied by a negative number.Vertical stretch by a factor of 2, as the function was multiplied by a number that has absolute value 2.Shift down of 3 units, as 3 was subtracted from the function.

The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.

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A student has 5 ninths gallons of popcorn to give away. He wants to split it evenly between his 4 friends. How much popcorn does each friend receive?

20 over 9 gallons
1 gallon
5 over 13 gallons
5 over 36 gallons

Answers

Answer is the last one, 5 over 36 gallons

Step by step

We know 5/9 gallons of popcorn
We know we will divide by 4/1

So 5/9 divided by 4/1

When we divide fractions we flip the divisor and multiply across

5/9 x 1/4 = 5/36 or 5 over 36 gallons

Problem solved

Pls help i will give brainly

Answers

Check out the attached photo

Yes or no-
Does the point (-2,7) lie on the graph of y= -2x + 1

Answers

Answer:

no

Step-by-step explanation:

-12 / 3 * (-8 + (-4)^2 - 6) +2
simplified please !!
I need it soon please!
ILL GIVE BRAINIEST
i need the steps too

Answers

Answer:

-6

Step-by-step explanation:

use PEMDAS

start with the exponent: (-4)^2=16

-12 / 3 * (-8 + 16 - 6) +2

then the parentheses: (-8+16-6)=2

-12 / 3 * 2 +2

next is multiplication/division, division comes first so: -12/3=-4

-4 * 2 +2

then multiplication: -4*2=-8

-8+2=-6

Do you guys know how to find a square root or cube root without a calculator? I need a explanation and a example.

Answers

Answer:

square of the following

2×2=4

3×3=9

4×4=16

2×2×2=8

now

square root

√4

√2×2

=2 answer likewise other

again

cube root

√8

=√2×2×2

=2 through that you can find these

at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer

there’s no way besides finding the prime factors

so take 9 for an example.
start dividing by prime numbers:
9 / 2 (can’t be done)
9/3 = 3
3/3 = 1

3 is in the answer once therefore the answer is 3

x+8=-(2x +1) Can you help
Please and thank you

Answers

Check out the attached photo

3-1¹-2
Convert 4 to an improper fraction?
000
12/4
4/13
4/12
13/4

Answers

Answer:

13/4

Step-by-step explanation:

_______________________________


If angle A is 4x+2 and angle B is 11x, what is the value of x? (round to the nearest tenth)

Answers

Answer: 13.6 or 9.2

Step-by-step explanation:

Answer:

x=2/7

Step-by-step explanation:

The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.

To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.

I need help with all of these ☹️

Answers

1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

How do you divide the values?

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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Help its for a test grade
X-5y=8
4х+5y=7

Answers

Answer:

x = 3     y = -1

Step-by-step explanation:

x - 5y = 8

x = 5y + 8

replace x with 5y + 8 in the other equation

4(5y + 8) + 5y = 7

20y + 32 + 5y = 7

25y = 7 - 32

25y = -25

y = -25/25

y = -1

x = 5(-1) + 8

x = -5 + 8

x = 3

. Model Real Life A veterinarian walks about
10,000 steps each weekday. She walks about
8,000 steps each day of the weekend. About how
many steps does she walk in one week?

Answers

No. of steps in one week = 66000

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

In weekday = 10000

In weekend = 8000

There are 5 weekdays and  2 days in weekend

SO,  5 x 10000 + 2 x 8000

  = 50000 + 16000

   = 66000 steps.

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What factor is paired with 6 to give to24

Answers

Answer: 4

Step-by-step explanation:

f=factor

24=6*f

24/6=f

f=4

Answer:

4 is paired with 6 to get 24

Step-by-step explanation:

Here are some examples I got from my math teacher:

So How do you find the factor pairs?

Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.

-4 + (3)^2÷ (5 + 4) • 3

Answers

Answer: -1

Step-by-step explanation:

      We will use the Order of Operations to solve;

Given:

-4 + (3)² ÷ (5 + 4) • 3

Addition in parentheses:

-4 + 9 ÷ (9) • 3

Raise to the power of 2:

-4 + 9 ÷ (5 + 4) • 3

Division:

-4 + 1 • 3

Multiplication:

-4 + 3

Addition:

-1

Find the 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,...

Answers

The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is  -79.

The nth term of a particular arithmetic sequence can be found by,  an = a + (n – 1)d. So in order to find the nth term, substitute the given values [tex]a_{1}[/tex] and d  into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.

Given,

 [tex]a_{1}[/tex]= x-1x-1

 [tex]a_{2}[/tex]= 7x-77x−7

 [tex]a_{3}[/tex]= 13x-13

 n=  14

We have to find the common difference d from differences in adjacent terms [tex]a_{1}[/tex],[tex]a_{2}[/tex],[tex]a_{3}[/tex] . That is,

[tex]a_{2}-a_{1} =a_{3} -a_{2}[/tex]

[tex]7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)[/tex]

[tex]7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0[/tex]

Put x=0 in x-1x-1, 7x-77x-7, 13x-13

Therefore,

[tex]a_{1}[/tex] = -1

[tex]a_{2}[/tex] = -7

[tex]a_{3}[/tex] = -13

Then,  d will be [tex]-7-(-1)[/tex] or [tex]-13-(-7)[/tex]

So, d= -6

Put  [tex]a_{1}[/tex], d, and n in the equation [tex]a_{n} =a+(n-1)d[/tex]  to find the 14th term.

Therefore,

[tex]a_{14}=-1+(14-1)-6\\ =-1-78\\=-79[/tex]

The 14th term of the given arithmetic sequence is -79

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Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2, what is g(x)?

Answers

Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2,  g (x) = StartRoot 2 x EndRoot.

What is squareroot?

In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3. The Babylonians had efficient techniques for calculating square roots as early as the second millennium bc.

Example of a square root-

The radical symbol for the number's root is shown here. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number. For instance, the square of 3 is 9, the square root of 9 is 9, and 32 also equals 9.

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The price for us postage stamps has increased over the years. since 1975, the price has increased from $0.13 in 2005 at a rate that is approximately linear. write a linear model for the price of stamps during this time period. let p represent the price and t represent the number of years since 1975.

Answers

It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

Where m is the slope and b is the y-intercept.

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

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Find the quotient.

77/−11=
64÷32=
48÷ −6=
−56÷ −8=
110/10=

Answers

Answer:

fsfdsesdfsesd 'jp

Step-by-step explanation:

efsdsfefsggsesds

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