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The trucks arrive 10 minutes after the first call. The first and the second truck travel for 5 miles and 8 miles respectively.

In a time difference of 3 minutes, two fire trucks are called.

The average speed of the first truck is 30 miles per hour.

The average speed of the second truck is 60 miles per hour.

The trucks totally travel for 12 miles and arrive at the same time.

Let d be the number of miles the first truck drove.

Let t be the number of minutes it took the first truck to travel.

Now, Convert 30 miles per hour to a half mile per minute and 60 miles per hour to a mile per minute as we are measuring time in minutes.

For the first truck:

d = 0.5t

The second truck traveled 12 - d miles if the first truck traveled d miles. In the event where the first truck traveled for t minutes and was called 3 minutes later, the second vehicle would have gone for t - 3 minutes.

For the second truck:

12 - d = t - 3

Therefore,

12 - 0.5t = t - 3

15 = 1.5t

t = 15 / 1.5

t = 10 minutes

The trucks arrive after 10 minutes after the first call.

Then,

d = 0.5t = 0.5(10) = 5 miles

And 12 - d = 12 - 5 = 8 miles.

Hence, the first truck traveled for 5 miles and the second truck traveled for 8 miles.

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The complete question is mentioned below:

A fire truck is called to a scene. Three minutes later, a second truck is called. The first truck averages only 30 mph, but the second averages 60 mph. The trucks travel a total of 12 miles and arrive at the same time. How long from the first call did the trucks take to arrive? How far did each travel? We must first remember to change miles per hour to miles per minute.

it's a vampire !

the surviving digits are 1, 3, 9 ,and 5.

unless i have the wrong definition of a vampire number.

This is 5th edition of  the book.

Statistics a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

This is a book related to statistics for the life sciences which was written by  three persons named MYYRA L  SAMUELS, JEFFERY A WITNER, ANDREW SCHAFFNER. This book is fully related to life sciences .

It depicts how many no. of animals found in the region and what is the no. of lions or how many giraffe is found in that area or how many different species is found in particular area.

So, all these things they are given with the help of statistics.

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The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.

As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.

So, the length of the pool in the drawing is = 24*(3/4)

                                                                           = 24 millimeters

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The approximate side length of a square game board with an

area of 184 in² is 14 inches

The formula for calculating the area of a square is expressed as;

A = l²

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 = l²

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in² is 14 inches

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Answer:

extraneous

Step-by-step explanation:

extraneous

Answer:

16

Step-by-step explanation:

The GCF of any number is itself. The GCF of 5 is 5. The GCF of 10 is 10. The GCF of 16 is 16.

The required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and  [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation.

Given a general quadratic equation of the form

ax^2 + bx + c = 0

with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is:

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]

and,

Now the given quadratic equation is,

x^2 - 2x = - 9

or,  x^2 - 2x + 9 = 0

here, a = 1

b = -2

c = 9

Thus quadratic formula is given as,

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]

[tex]{\displaystyle x={\frac {-(-2)\pm {\sqrt {(-2)^{2}-4*1*9}}}{2*1}}[/tex]

[tex]{\displaystyle x={\frac {2\pm {\sqrt {4-36}}}{2}}[/tex]

[tex]{\displaystyle x={\frac {2\pm {\sqrt {(-32)}}}{2}}[/tex]

Thus,we get,

[tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex]

[tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

Thus,the required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and  [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

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The cost for a 3-hour installation is $195.

A relation between a collection of inputs and outputs is known as a function. A relationship between inputs and outputs in which each input is connected to only one output is called a function. Each function has a codomain, range, and domain.

The hourly charge to install two new programs and a connection is $50.

The computer store charge $45 for the materials.

The function for the cost of the number of hours it takes to complete the job is given as:

C(h) = 45 + 50h

Therefore, the cost for a 3-hour installation is:

C(3) = 45 + 50 × 3

C(3) = 45 + 150

C(3) = $195

The 3-hour installation cost is $195.

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The hour hand that goes through 3 right angles and starts from 7 will stop at 4.

We can assume that the numbers in a clock are positioned in a circle. The angle in a circle is 360⁰, while the numbers in a clock is 12.

Hence, from each clock number to its consecutive number, the hour hand must travel 30⁰ as shown in the attached picture.

A right angle is equal to 90⁰. This is equal to 3 ⨉ 30⁰. In other words, to travel  90⁰ means to travel 3 hours.

3 right angles =  3 ⨉ 90⁰

                      = 3 ⨉ 3 hours

                      = 9 hours.

Thus, the hour hand will go to:

7 + 9 = 16

16 is equal to number 4 in a clock number.

Conclusion: If the hour hand start from 7, it will stop at clock number 4.

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Meena would take 4 hours to drive 196 miles.

We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.

So, formula stating rate or speed of driving -

Speed = distance ÷ time

Keep the values in formula to find the speed

Speed = 245 ÷ 5

Performing division

Speed = 49 miles per hour

So, Meena drives 49 miles in 1 hour.

For driving 196 miles, the time required = (1 ÷ 49) × 196

Performing multiplication and division

Time required = 4 hours

Hence, Meena will require 4 hours to drive 196 miles.

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Answer:

yessir

jimmy jhon

TROOOOOOOOOOOOOOOOOOOOOP

STARING NOW

Answer:

15.25

do 40.75-25.5 i think

Answer:

(x, y) = (x 7/2, -3/4x m) x € R

Answer:

x = -14

Step-by-step explanation:

ez I GOTCHU (pls give brainliest :D)

alr so we got y = -2x-1.  we need to substitute that into the equation

4x + 2 (-2x-1) - 12 is ur equation

4x + -4x -2 - 12

-14 = x

pls branliest

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

Simplify

3−(2x−5),

−2x+8<−4(x2)

Simplify −4(x+2).

−2x+8−4x−8

Move all terms containing x to the left side of the inequality.

2x+8<−8

Move all terms not containing x to the right side of the inequality.

2x<−16

Divide each term in 2x<−16by 2 and simplify.

x<−8

The result can be shown in multiple forms.

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

What is inequality form ?

The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.

What is interval notation?

Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

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Answer:125.666

Step-by-step explanation:

Answer

-6a - 48

Solution

-6 x a= -6a

8 x -6= 48

-6a - 48

He puts 100$ in the bank on the 25th week.

An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.

Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.

Explanation:

First term([tex]a_{1}[/tex])= 1

Common difference= 1.25-1=0.25

[tex]a_{25}[/tex]=1+(25-1).25

        =1+(24)(.25)

        = 1+6

        =7

[tex]S_{25}[/tex]=25/2 (1+7)

    =25/2 (8)

    =100

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The function is positive on (-4, -3), and (-1, 4),

the function is negative on (-3, -1),

the function increases on (-2, 2), and

the function decreases on (-4, -2) and (2, 4).

The key features of the function given in the graph are:

Positive intervals:

Here we need to say at which intervals the value of the graph is positive.

That is at which intervals the graph is above the x-axis.

It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)

Negative intervals:

Here we need to say at which intervals the value of the graph is negative.

That is at which intervals the graph is below the x-axis.

It is clear from the graph that the function is negative on (-3, -1).

Increasing intervals:

Here we need to say at which intervals the value of the function increases.

That is at which intervals the graph goes upwards when the value of the x increases.

It is clear from the graph that the function increases on (-2, 2).

Decreasing intervals:

Here we need to say at which intervals the value of the function decreases.

That is at which intervals the graph goes downwards when the value of the x increases.

It is clear from the graph that the function decreases on (-4, -2) and (2, 4).

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The phlebotomist should first collect STAT electrolytes in the ER.

A medical professional who is trained to draw blood samples from patients is known as phlebotomist. The process of taking blood from vein with the help of a needle is known as phlebotomy. An electrolyte test is a blood test that give information about an electrolyte imbalance in the body.

Electrolytes are minerals and salts, such as sodium, Chloride, potassium, and bicarbonate which are found in the blood. These are responsible for conducting electrical impulses in the body. STAT is a short form of a Latin word 'Statim' which means immediately. The phlebotomist should first collect STAT electrolytes in the ER.

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It should be noted that the bag weight that is at the 84th percentile of the distribution is 9.17 ounce.

It's important to vompute the z-score for 84th percentile then find the 84th percentile of the distribution for bag weight.

From the standard normal table, the indicated z score for the area of 0.8400 and indicative area 0.8400 is 0.99.

The z-score is 0.99.

The 84th percentile (P) of the distribution for bag weight will be:

= 9.12 + (0.09 × 0.05)

= 9.12 + 0.05

= 9.17.

Therefore, the 84th percentile of the distribution for bag weight will be 9.17.

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Answer:

40,000

Step-by-step explanation:

Answer:

54 can be divided by both 2 and 3. And yes there is more than one answer.

Step-by-step explanation:

54 is less than 60 but greater than 50, and it can also be divided by 2 and 3 without there being a remainder. All the other answers could be: 52, 54, 56, and 58 (all of which could be divided by 2) and 51, 54, and 57 (all of which could be divided by 3).

Hope this helps!!! :)

Answer:

[tex] \frac{3 + p}{q} [/tex]

Step-by-step explanation:

Because it says 3 and p then you divide both of them by q

Hope this helps!

If you have any questions ask!

You have to add 3 and p before dividing by q.

(3 + p)/q

Answer:

The answer is A.

Because...

[tex]3-3[/tex]

[tex]=3+-3[/tex]

[tex]=0[/tex]

Here's photo as well.

Answer:

The First Image!

Step-by-step explanation:

Given

[tex]\boxed{3+(-3}[/tex]

This gives:

[tex]\boxed{3+(-3)=3-3=0}[/tex]

You were given  3+ (-3).

This means that we count 3 places forward, then count 3 places backward.

We stop at zero.

This implies that 3+(-3) is zero

Which tells you The first option/Image  is correct!

AshTheNeko

Answer:

Step-by-step explanation:

(6x-51)*(2x+61)

=6x(2x+61)-51(2x+61)

=[tex]=12x^{2} +366-102x-3111\\=12x^{2} -102x+366-3111\\=12x^{2} -102x-2745[/tex]

HOPE THIS HELPS!!!!

The equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m

The equation is given as

2/(7 - m) = 4/(m - 5) - m/(7 -m)

Take the like terms of the above equation

So, we have

m/(7 -m) + 2/(7 - m) = 4/(m - 5)

Evaluate the like terms in the above equation

So, we have

(m + 2)/(7 -m) = 4/(m - 5)

Cross multiply the above equation

So, we have

m^2 + 2m - 5m - 10 = 28 - 4m

Evaluate the like terms

m^2 + m + 18 = 0

Using a graphing tool, we have no solution for m

Hence, the equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m

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A. 58.2%

this is because

(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%

Answer:

A

Step-by-step explanation:

Change in population/ original number

[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712  This is the answer as a decimal.  Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.

Answer:

12.73 mins

Step-by-step explanation:

velocity: 9.9 mi/h

distance: 2.1 mi

d=vt

t = d/v = 2.1/9.9 = 0.21h

convert to minutes: 2.1/9.9 x 60 = 12.73 min