Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the specific dust, how many grams would they have after 2 days?

Answer:

Step-by-step explanation:

In exponent multiplication, if base are same just add the powers.

[tex](-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\[/tex]

                                             [tex]=(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\[/tex]

Answer:

A.

Step-by-step explanation:

   Factor out x^2-3x-40.  Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3).  The two numbers that do that are -5 and 8.  Recall that to be zeroes, at least one of the x-values must make the equation equal 0.  So if x=-5, (x+5) is the term that would be 0.

You could also multiply the factored forms that are given to find the correct one.

Answer:

b = -6 (Answer d)

Step-by-step explanation:

The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4).  Substitute -5 for x and 4 for y, to obtain:

4 = -2(-5) + b, or

4 = 10 + b, or

b = -6 (Answer d)

Answer:

b

Step-by-step explanation:

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

Answer:

$8,711.99

Step-by-step explanation:

The formula for calculating the compound interest in expressed as;

A =P(1+r/n)^nt

Principal P = $4000

r is the rate = 7.2% = 0.072

t is the time = 15years

n = 1/12

Substitute

A = 4000(1+0.072(1/12))^15/12

A = 4000(1+0.072(12))^1.25

A = 4000(1+0.864)^1.25

A = 4000(1.864)^1.25

A = 4000(2.1779)

A = 8,711.99

Hence the final investment after 15years is $8,711.99

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Answer:

Sorry Baby i don't know

Step-by-step explanation:

Bye

Answer:

$0.42 + $0.17w = x

$0.42 + $0.17 x 4 = $1.10

Step-by-step explanation:

for building the equation, we were given the variable for ounces so just multiply the amount of ounces by .17 and for solving for four ounces just input 4 into W and boom equation solved

Answer:

$0.42 + $0.17 x 4 = $1.10

Step-by-step explanation:

Answer:

im not really sure but try 600,0

Step-by-step explanation:

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

Answer:

looks like C is best guess

Answer:

144

Step-by-step explanation:

Answer:

V =960 in ^3

Step-by-step explanation:

V = l*w*h

V = 12*8*10

V =960 in ^3

Answer:

the answer is blurry for me take a picture again

Step-by-step explanation:

Answer:

Vertical

Slope cannot be determined

Step-by-step explanation:

To find the slope, we are going to use the slope equation as follows

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,5)

(x2,y2) = (4,-5)

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

This gives an undefined answer and thus we cannot hate the slope value

Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical

Answer:

Neither

Step-by-step explanation:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.

Answer:

Answer:

(x - 1)^2

Step-by-step explanation:

using middle term break method

x^2 - 2x + 1

here, we need to numbers which gives 1 when multiplied and 2 when add .

=x^2 - (1 + 1)x + 1

=x^2 - x - x + 1

=x(x - 1) -1(x - 1)

=(x -1)(x - 1)

=(x - 1)^2

Step-by-step explanation:

by middle term factorisation method

x^2 -2x + 1

= x^2 -( 1+1)x + 1

= x^2 -x -x + 1

= x(x-1) -1( x -1)

= (x-1)(x-1)

OR

we know above polynomial ( quadratic ) equation is in form

(a - b )^2 = a^2 -2ab + b^2

so it's factories form is

( a- b)( a- b)

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is [tex]J=7 years[/tex]

John age [tex]J'=(D-16)years[/tex]

Dave's age a Year ago

 [tex]D-1=2(J-1+J'-1)[/tex]

So that Dave.s age this Year could be

 [tex]D=2((J-1)+(J'-1))+1[/tex]

Simplifying Equation for Dave's age we have

 [tex]D=2((7)-1+(D-16)-1)+1[/tex]

 [tex]D=2(6+D-15)+1[/tex]

 [tex]D=2(D-9)+1[/tex]

 [tex]D=2D-18+1[/tex]

 [tex]D=17 Years[/tex]

Dave is 17 years old

Therefore

Johns age is

 [tex]J'=(D-16)[/tex]

 [tex]J'=17-16[/tex]

 [tex]J'=1year old[/tex]

John is 1 year old

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4

Step-by-step explanation:

(F-g) (X)

= f(x) - g(x)

(2x² + 2 )-(x²-1) =

3x²+3

The amount of area larger is Asia than Australia will be 1.39 × 10⁷. Then the correct option is C.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Asia is the largest of the world’s seven continents, with an area of approximately 1.7 times 10⁷ square miles.

Australia, the smallest continent, has an area of approximately 3.1 times 10⁶ square miles.

Then the amount of area larger is Asia than Australia will be

⇒ 1.7 × 10⁷ – 3.1 × 10⁶

⇒ 1.7 × 10⁷ – 0.31 × 10⁷

⇒ 1.39 × 10⁷

Then the correct option is C.

More about the subtraction link is given below.

https://brainly.com/question/4319655

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Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

Answer:

f(-2) = 3(-2) + 1

f(-2) = 6 + 7

Therefore: f(-2) = 7

Answer:

Step-by-step explanation:

Substitute values into given equation and solve for P(t):

Answer:

∠A = 38.68°

Step-by-step explanation:

[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]

The measure of the ∠A in this right-angled triangle is,  38.68°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 5/8.

Ф = sin⁻¹(5/8).

Ф = 38.68°.

learn more about trig ratios here :

https://brainly.com/question/14977354

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