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3 years ago

What is 5×10 to the power of -3 in as ordinary number

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Since the exponent of the scientific notation is negative (-3), move the decimal point 3 places to the left. 0.005.

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Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min

Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ represents difference of two y-coordinates,

$x_2-x_1$ represents difference of two corresponding x-coordinates of y-coordinates.

Let $(6,-20.4)$ be $(x_1,y_1)$ and $(9,-27.6)$ be $(x_2,y_2)$ .

$m=\frac{-27.6-(-20.4)}{9-6}$

$m=\frac{-27.6+20.4}{3}$

$m=\frac{-7.2}{3}$

$m=-2.4$

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

$y=mx+b$ , where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

$-20.4=-2.4(6)+b$

$-20.4=-14.4+b$

$-20.4+14.4=-14.4+14.4+b$

$-6=b$

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is $-6$ meters.

6 0

3 years ago

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What is the answer Factorise: 2x² +7x+6.<br><br>

Mila [183]

Answer:

2x + 3 )(x + 2 )

Step-by-step explanation:

2x² + 7x + 6

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:

6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No

2 & 3 and 2 · 2 + 3 = 7 Yes

2x² = 2x & x

all signs are positive

trinomial factoring ( )( )

( + )( + )

2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x + 3 )(x + 2 )

Check 2x(x + 2) + 3(x + 2)

2x² + 4x + 3x + 6

2x² + 7x + 6 checked

7 0

3 years ago

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5. What is the value of the function f(x) = 2x + 3 for an input value of 3?

Leviafan [203]

Answer:

Step-by-step explanation:

f(x) = 2x + 3

f(x) = 2*3 + 3

f(x) = 6 + 3

f(x) = 9

8 0

3 years ago

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Let q(t) = 29t and r(t) = StartFraction t Over 29 EndFraction. Which method could be the first step in proving that q(t) and r(t

Lisa [10]

Answer:C

Step-by-step explanation:

Because the inverse only gets applied to what you are inputting in the parentheses of the function.

3 0

3 years ago

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An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli

tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

$=\frac{n}{2}(2\times 100 + (n-1)100)$ ( Sum of AP )

$=\frac{n}{2}(200+100n-100)$

$=\frac{n}{2}(100+100n)$

$=50n+50n^2$

Suppose the distance covered in n seconds is 12,000 feet,

$\implies 50n+50n^2=12000$

$n+n^2=240$

$n^2+n-240=0$

$n^2+16n-15n-240=0$

$n(n+16)-15(n+16)=0$

$(n-15)(n+16)=0$

$\implies n=15\text{ or }n=-16$

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

6 0

3 years ago

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