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3 years ago

How do you write 3.74 x 10^4 in standard form?

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

7 0

Answer:

37,400

Step-by-step explanation:

Whatever the number 10 is being squared by, you just move the decimal right if it is a positive number. In this case, it is 10 to the 4th power.

If you move the decimal in 3.74 four times to the right, you will get 37,400.

lara31 [8.8K]3 years ago

4 0

Answer:

37400

Step-by-step explanation:

move the decimal place over 4 to the right

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The midpoint of AB is M(3,3). If the coordinates of A are (2,-8), what are the coordinates of B?

Lyrx [107]

Step-by-step explanation:

MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]

WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)

SUBSTITUTING INTO THE EQUATION ABOVE

(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]

EQUATING THE X COORDINATES

=> 3 = (2+ X2)/2 (CROSS MULTIPLY)

=> 6 = 2 + X2

X(subscript 2)= 4

EQUATING THE Y COORDINATES

=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)

6 = –8 +Y2

=> Y(subscript 2)= 14

THEREFORE THE COORDINATES OF B ARE (4 ,14)

hope this helps :)

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3 years ago

A number increased by 3 and then multiplied by 5 is at least -10. What are the three lowest natural number values this can be?

Vilka [71]

Step-by-step explanation:

It is impossible for the number values of this number to be a natural number since natural numbers are defined as being positive integers while the number "x" has to be less than -5 to satisfy the equation.

4 0

3 years ago

Kelly spends $59.00 on items for a party. She buys thank you cards that cost $5.00 (including tax). She also buys gift bags that

Brrunno [24]

Answer:

she bought 5 cards, which equals to $54

and then she bought 1 card

Step-by-step explanation:

4 0

3 years ago

For the given decision algorithm, find how many outcomes are possible. HINT [See Example 1.] Step 1: Step 2: Alternative 1: 1 ou

Kruka [31]

Answer:

the total number of outcome in step 1 = 1+2+3= 6

the total number of outcome in step 2 = 2 +2+3 = 7

hence total number of outcome = 6 x7

= 42

Step-by-step explanation:

7 0

3 years ago

The number of people , d, in thousands applying for medical benefits per week in a particular city can be modules by the equatio

Mekhanik [1.2K]

Answer:

<h2>4773 peoples.</h2>

Step-by-step explanation:

Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0

Differentiating the function given with respect to t, we will have;

$d(t)=2.5 sin(0.76t+0.3)+3.8$

First we need to know that differential of any constant is zero.

$Using\ chain\ rule\\\frac{d(t)}{dt} = 2.5cos(0.76t+0.3) * 0.76 + 0\\ \\\frac{d(t)}{dt} = 1.9cos(0.76t+0.3)$

If $\frac{d(t)}{dt} =0$ then;

$1.9cos(0.76t+0.3) = 0\\\\cos(0.76t+0.3) = 0\\\\0.76t+0.3 = cos^{-1} 0\\\\0.76+3t = 90\\\\3t = 90-0.76\\3t = 89.24\\\\t = 89.24/3\\\\t = 29.75years$

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

$d(t)=2.5 sin(0.76t+0.3)+3.8\\d(29.75) = 2.5 sin(0.76(29.75)+0.3)+3.8\\d(29.75) = 2.5 sin(22.61+0.3)+3.8\\\\d(29.75) = 2.5 sin(22.91)+3.8\\\\d(29.75) = 0.9732+3.8\\d(29.75) = 4.7732\\\\$

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.

3 0

3 years ago