Answer any of these questions and still get a good rating if you are correct. (Also this is multiplication with fractions)

The combined volume of all the tanks at an aquarium is 1.25 X 106 gallons. The aquarium plans to install a new dolphin tank with

DaniilM [7]

1. The combined volume of all the tanks at the aquarium is written in Scientific notation. Keeping this on mind, you can write it as following:

$(1.25)(10^{6})=1,250,000gallons$

2. Now, you must sum the combined volume of all the tanks and the volume of the new tank to calculate the total volume of all of them: $Vt=1,250,000gallons+250,000gallons\\Vt= 1,500,000gallons$

3. Now, you can write the result in Scientific notation, as following:

$Vt=(1.5)(10^{6}) gallons$

The answer is: $(1.5)(10^{6}) gallons$

3 0

2 years ago

Can someone help me with factoring? 4x^3 + 43x^2 + 30x

Sergio039 [100]

$4x^{3}+43x^2+30x$
First in factoring, you must find out what is common in the whole equation
$x(4x^2+43x+30)$
Now, make 2 sets of parentheses and "split up" the rest of the equation
Try to experiment which numbers work out
We are not subtracting anything so both parentheses are positive
$x(4x+3)(x+10)$
Therefore, the factored version of $4x^3+43^2+30x$ is
$x(4x+3)(x+10)$

5 0

3 years ago

The distance between two points is 6_/6.One endpoint is (4,-1). It is known that the y-coordinate of the other endpoint is 9.

babunello [35]

The x-coordinate of the given endpoint will be " $x = 4 \pm 2\sqrt{29}$ ".

According to the question,

The end points are:

$(x_1,y_1) = (4,-1)$
$(x_2, y_2) = (x,9)$

Distance,

$6\sqrt{6}$

As we know,

The distance formula,

→ $Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By substituting the values, we get

→ $6\sqrt{6} = \sqrt{(x-4)^2+(9+1)^2}$

→ $216= (x-4)^2+100$

→ $(x-4)^2 = 116$

→ $x-4 = \pm \sqrt{116}$

→ $x-4=\pm 2\sqrt{29}$

→ $x = 4 \pm 2\sqrt{29}$

Thus the above answer is right.

Learn more:

brainly.com/question/18310956

5 0

2 years ago

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$