if 5,400,000
was written in scientific notation, what would be the exponent?

Question seems incomplete but we would make assumptions in order to answer and explain

Answer and explanation:

If we wish to model this situation in the form of a fraction: there is one container containing 30 cans of fruit juice and 2 people want fruit juice, we would be finding how many fruit juice each person would get from the container.

Given one container= 30 cans of fruit juice

Number of persons that require fruit juice = 2

Therefore fraction of fruit juice in relation to required fruit juice= 30/2

Answer:

t = 3.11 seconds

Step-by-step explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

[tex]h = -16t^2 + 45t + 15[/tex]

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

[tex]-16t^2 + 45t + 15=0[/tex]

We need to solve for t. It can be calculated as follows :

[tex]t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s[/tex]

So, the required time is 3.11 seconds.

Answer:

f(9)=17//g(9)=31

Step-by-step explanation:

substitute- (9)2-1= 18-1=17

substitute and solve- 3(9)+4=27+4=31

Hope this helps

Answer:

graph shown below

Step-by-step explanation:

ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.

On a graph, this would look like:

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

Answer:

Step-by-step explanation:

77

Answer:

16.5 in³

Step-by-step explanation:

Length(L) = 2.2 in

breadth (b) = 1.5 in

height (h) = 5 in

Volume of the cuboid

= L * b * h

= 2.2 * 1.5 * 5

= 16.5 in³

Answer:

14 miles

Step-by-step explanation:

2.80+1.20x=20

-2.80            -2.80

1.20x=17.20

1.20x/1.20= 17.20/1.20

x=14 miles

Hope this helps!

Answer:

It will be the first one

Step-by-step explanation:

Hope this Helped

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the  number  of children be represented as  x

and the number of adults in the group  be represented as  as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+  22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+  22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3  and then subtract from equation 2

15x+  22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play,  Number of children = 2 and number of adults = 9

Answer:

It will be C

Step-by-step explanation:

This is because ecosystems worh high biodiversity tend to be more stable

Hope this Helped

Answer:

The awnser is c i took the test ( a high amount of bio deversety)

Step-by-step explanation:

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Wrong statement: x² + 9 = (x + 3)(x + 3)

Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)

Answer:

[tex] \frac{5}{6} k = \frac{1}{6} \\ \ \\ \ k = \frac{1}{6} \times \frac{6}{5} \\ \\ k= \frac{1}{5} [/tex]

Answer:

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

Answer:

that's inequality topic right?

Answer:

I think it's x=-4

Step-by-step explanation:

3x= -12

x= -4

Answer:

Property of  Multiplication

Step-by-step explanation:

hope this helps

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

Answer:

They would pay $28.

Step-by-step explanation:

4 x 3 = 12, 22-12= 10. $10 is initial fee.

6 x 3 = 18, 18+10= 28. $28 for 6 hours

Answer:

$3.13/lb

Step-by-step explanation:

Divide 3/4 pound into $2.35:

$2.35

--------- = $3.13/lb

3/4  lb

Answer:

The answer would be the third graph with the coordinates as: (0,-1), (1, -3)

Step-by-step explanation:

Hope this helps :))

Answer:

820 feet

Step-by-step explanation:

We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...

1 km  ==  3280.84 ft

0.25 == x

(0.25 * 3280.84) / 1 = 820.21

Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.

Answer: The answer is b

Step-by-step explanation:

Answer: Choice A) The linear equation, aka straight line

Explanation:

The end behavior is determined by the ratio of the leading terms. This is because for large x values, the leading terms "drown out" (so to speak) the weight of the other terms.

We divide the leading terms 10x^3 over 2x^2 to get 5x. So as x gets really large, in either the positive or negative direction, the tail end portions will start to approach y = 5x. This is the slant or oblique asymptote. The end behavior or y = 5x has the left side going down, while the right side is going up. The same applies for the f(x) function as well.

Answer:

Ani age is 21

Biju age is 18

Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

Y/2 - 2x = 30..... (equ. 2)

from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

y/2 - 6 + 2y = 30

multiply both side by 2

y - 6 + 2y = 60

y + 2y = 60 - 6

3y = 54

Y = 18

from equ.3

X = 3+Y where y is 18

X = 3+18 = 21

Answer:

A. Step 1

Step-by-step explanation:

He made the mistake on step 1 because he didn't distribute

Answer:

Step 1

Step-by-step explanation:

2(5g - 1) = 3

1 Step: Distribute

2(5g - 1) = 3

10g-2=3

2 step: Add 2 to both side of the equation

10g -2=3

10g= -2+2=3+2

3 step: Simplify

4 step: Divide both sides of the equation by the same term

10g=5

10g/10 = 5/10

5 step: Simplify

g = 1/2

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]

[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]

[tex]$\sin \ \theta = \frac{2}{3}$[/tex]

[tex]$\sin \ \theta = 0.667$[/tex]

∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]

     = 41.83°

Answer:

If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

So the sum is

∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2  

Here  n=4  

So we have  4p+6  

And checking

p+(p+1)+(p+2)+(p+3)=4p+6  

Note if  p=−v  

Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

On the other hand:

−(3+4+5)=−(3×3+32−32)=−(9+3)=−12  

If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

Than needs an other  v  integers to bring it up to  0  again. From there it is

∑k=0hk=h2+h2  

Where  h=n−(2v+1) .

So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

Answer:

<A≅<Z

Step-by-step explanation:

Hope This Helps!

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]