Determine the simplified expression for (5^2)(5^1/4)(5^-1)
A: 125^5/4
B: 5^-1/2
C: 5^5/4
D: 15^-1/2

Answer:

Top right (one what has 16cm^2 and 9cm^2)

Step-by-step explanation:

The one in the top right and even though I cannot see what the area is of the biggest square, I can tell what it should be the two smaller squares combined

Hope this helps :)

 Answer:

The common difference equals:

[tex]-3[/tex]

The sum of the sequence equals:

[tex]62[/tex]

The explicit formula of this sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The recursive formula of this sequence is:

[tex]a_n=a_((n-1))-3[/tex]

The nth terms:

[tex]20,17,14,11,8,5,2...[/tex]

Step-by-step explanation:

An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.

Find the common difference by subtracting any term in the sequence from the term that comes after it.

[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]

The difference of the sequence is constant and equals the difference between two consecutive terms.

[tex]d=-3[/tex]

Calculate the sum of the sequence using the sum formula:

Formula

[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]

Plug in terms

[tex]Sum=(4*(a_1+a_n))/2[/tex]

[tex]Sum=(4*(20+a_n))/2[/tex]

[tex]Sum=(4*(20+11))/2[/tex]

Simplify the expression

[tex]Sum=(4*(20+11))/2[/tex]

[tex]Sum=(4*31)/2[/tex]

[tex]Sum=124/2[/tex]

[tex]Sum=62[/tex]

The sum of this sequence is [tex]62[/tex].

This series corresponds to the following straight line [tex]y=-3x+20[/tex]

The formula for expressing arithmetic sequences in their explicit form is:

Formula: [tex]a_n=a_1+(n-1)*d[/tex]

Plug in the terms.

[tex]a_1=20[/tex] (this is the 1st term)

[tex]d=-3[/tex] (this is the common difference)

[tex]a_n[/tex]  (this is the nth term)

[tex]n[/tex] (this is the term position)

The explicit form of this arithmetic sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The formula for expressing arithmetic sequences in their recursive form is:

Formula: [tex]a_n=a_((1-n))+d[/tex]

Plug in the d term.

[tex]d=-3[/tex](this is the common difference)

The recursive form of this arithmetic sequence is:

[tex]a_n=a_((n-1))-3[/tex]

[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]

[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]

[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]

[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]

[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]

[tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]

Terms and topics:

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

-------------

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

Read more about proportionality constant at:

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Answer:

[tex]y = 0.835193[/tex] (use the '≈' )

Step-by-step explanation:

[tex]y^3+2y^2+12y+16=28[/tex] (original equation)

[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)

[tex]y^3+2y^2+12y-12=0[/tex] (new equation)

then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

Answer:

11000 pounds

Step-by-step explanation:

1 US ton=2000 pounds

multiply the mass value by 2000

5.5ton x 2000pound

=11000pounds

Answer:

the answer is

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

1. 91/5 + 112/5 + 201/5

2. denominators are the same

3. 404/5

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Learn more about the area of square here;

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Answer:

(B) 70.5

Step-by-step explanation:

During the first second the acceleration is 2, and the distance is 2

During the second second the acceleration is 5, and the distance is 4.5

During the third second the acceleration is 4, and the distance is 9

During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m

2 + 4.5 + 9 + 55 = 70.5 (B)

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11

Hence the possible length of the third side should be greater than 11.

Learn more about triangles click;

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Answer:

c. b. a.

Step-by-step explanation:

yan po sagot sana po makatulong ito lang po alam ko ehh

Answer:

83.6

Step-by-step explanation:

just use your calculator

Answer:

83.6

Step-by-step explanation:

It's simple, just type it in the calculator and you'll get the answer

Answer:

0.0001

Step-by-step explanation:

2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator

Answer:

10,000

Step-by-step explanation:

you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

Answer:

[tex]g\geq 17[/tex]

[tex]g > -10[/tex]

[tex]g > -1[/tex]

Step-by-step explanation:

[tex]7(g-19)\geq -14[/tex]

Divide both sides by 7:

[tex]g-19\geq -2[/tex]

Add 19 to both sides:

[tex]g\geq 17[/tex]

[tex]3(7g+17) > -19+14g[/tex]

Expand brackets:

[tex]21g+51 > -19+14g[/tex]

Subtract 14g from both sides:

[tex]7g+51 > -19[/tex]

Subtract 51 from both sides:

[tex]7g > -70[/tex]

Divide both sides by 7:

[tex]g > -10[/tex]

[tex]6(-6g+6) > -2(19g-17)[/tex]

Expand brackets:

[tex]-36g+36 > -38g+34[/tex]

Add 38g to both sides:

[tex]2g+36 > 34[/tex]

Subtract 36 from both sides:

[tex]2g > -2[/tex]

Divide both sides by 2:

[tex]g > -1[/tex]

Answer:

37,440

Step-by-step explanation:

To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440

:D

Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

Answer:

c = 53.85 or 54

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

To know more about radius follow

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Answer:

Step-by-step explanation:

(i)

PQRS is a parallelogram (given)

      ∴ QT = TS (Diagonals of a parallelogram bisects each other)

also,   QT = RM (given)

      ∴TS = RM

PQRS is a parallelogram,

     ∴RT = PT (Diagonals of a parallelogram bisects each other)

also, SM = PT (given)

    ∴RT = SM

TS = RM

RT = SM

∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)

(ii)

QP // RS (Opposite sides of a parallelogram are parallel)

∴ ∡RQP = ∡NRS (Corresponding ∡s)

RTSM is a parallelogram(Proved above)

∴MS // RT (Opposite sides of a parallelogram are parallel)

∴NS//RP

∴∡RNS = ∡ QRP (Corresponding ∡s)

in ΔPQR and Δ NSR,

QP = RS (Opposite sides of a parallelogram are equal)

∡RQP = ∡NRS (Proved above)

∡RNS = ∡ QRP(Proved above)

∴ ΔPQR≡ΔSRN (AAS)

Corresponding sides of ≡ Δs are equal, ∴QR = RN

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?