State the degree: -4a^3b^2c^5

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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(A)  120 is 25% of 500.

(B) 25% of 120 is 30.

(C) 6 is 5 percent of 120

(D) 120 is 500 percent of 25

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

(A)

Let 120 is 25 % x,

125 = (25/100) x

x = 500

(B)

Let 25% of 120 is x,

(25/100) x 120  = x

x = 30

(C)

Let 6 is x percent of 120.

6= (x/100) 120

x = 5

(D)

Let 125 is x percent of 25.

125 = 25 (x/100)

x = 500

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

The probability of drawing 2 marbles of different colors  where the bag contains 9 red, 9 blue, and 9 yellow marbles in it would be 0.949.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A bag has 9 red, 9 blue, and 9 yellow marbles in it.

Number of ways to draw 2 marbles of different colors

= (9 red marbles) x (9 blue marbles) + (9 red marbles) x (9 yellow marbles) + (9 blue marbles) x (9 yellow marbles)

= 81 + 81 + 81

= 243

So, the total number of ways to draw 2 marbles: 16 (4 marbles of each color)

Probability of drawing 2 marbles of different colors: 243/256 = 0.949

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Answer:

The perimeter of rectangle is 48 cm.

Step-by-step explanation:

First, you have to form an expression for the length and the width. Let x be the width :

width = x cm

length = 3 × x = 3x cm

Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :

A = length × width

108 = 3x × x

3x² = 108

x² = 108 ÷ 3

x² = 36

x = √36

x = 6 cm

Lastly, you have to find perimeter :

length = 3 × 6 = 18 cm

width = 6 cm

Perimeter = 2(length + width)

P = 2(18 + 6)

P = 2(24)

P = 48 cm

Answer:

48cm

Step-by-step explanation:

Answer:

give me brainlisest

Step-by-step explanation:

hive me brainlist

Answer:

bgc

Step-by-step explanation:

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

\(Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items\)

From the given parameters:

\(Fixed\ Cost = 9000\)

\(Variable\ Cost = 15\)

\(Number\ of\ Items = N\)

So, the expression becomes:

\(C = 9000 + 15 * N\)

\(C = 9000 + 15 N\)

Solving (b): Cost of 250 widgets

In this case:

\(N =250\)

Substitute 250 for N in \(C = 9000 + 15 N\)

\(C = 9000 + 15 * 250\)

\(C = 9000 + 3750\)

\(C = 12750\)

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

the correct answer is $948

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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The dot represents the data point of 5, and there are no other data points to include on the dot plot.

You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:

  |      

5  •      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  +   -   -    -   -   -   -   -

  0  1   2   3  4  5  6  7

There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.

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Answer:

When two like-poles point together.

Step-by-step explanation:

When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up. So the magnets will push apart (repel). ... It's only when you hold unlike-poles together (a north pointing to a south) that magnets stick together (they are attracted).

Answer:

When two like-poles point together, the arrows from the two magnets point in opposite directions and the field lines cannot join up. So the magnets will push apart. It's only when you hold unlike-poles together that magnets stick together.

Step-by-step explanation:

Step-by-step explanation:

√a = 1√a so we can solve them easily:

b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7

d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6

g) √2+2√2= 3√2

j) √5+5√5 - 3√5 = 3√5

k) 2√3 + √3 - 5√3= -2√3

I) 5√11 + 7√11 - √11 = 11√11

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

Step-by-step explanation:

using the distributive property, the answer is -6.

Answer:

\(2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z\)

Step-by-step explanation:

\((2a^2-3b^2)(a+b^2-3z)\)

Start by distributing the \(2a^2\) into all of the terms in between the second parentheses.

\(2a^3+2a^2b^2-6a^2z\)

Next, distribute the \(-3b^2\) into all of the terms in between the second parentheses.

\(-3ab^2-3b^4+9b^2z\)

For the sake of simpler interpretation, I separated the two above, but they are together:

\(2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z\)

Since the terms are already in descending order, we do not need to rearrange them.

Answer:

To Divide a Fraction by a Whole Number:

Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)

Step-by-step explanation:

Answer:

2\3 + 42=42 2/3 or 128/3=42.66

5\12 + 26=26 5/12 or 317/12=26.41

Answer:

2\3 x 42=28

5\12 x 26= 10 5/6

Step-by-step explanation:

Hope this helped.

Answer:

y=4x+19

Step-by-step explanation:

(-5,-1)

-1=4(-5)+b Multiply 4 and -5

-1=-20+b Add 20 to -1

19=b

b=19

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

33.

Step-by-step explanation:

75%   x

100   44

x = (44 * 75 ) / 100 = 33.

Answer: 600000

Step-by-step explanation: just multiply it man

The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

a quadrilateral is a four-sided polygon, having four edges and four corners.

DEFG is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

DF=FG is a true statement.

The diagonal passing through a parallelogram are equal in length.

EF=DG is a true statement

The opposite sides of a parallelogram are equal.

∠DEG ≅ ∠FGE are congruent angles.

Because the opposite angles of a triangle are equal in meausure.

Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

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The length of the expert trail is 800 meters. We can find our answer by using given tape diagram and simple mathematical calculations.

What is tape diagram?

A tape diagram is a visual model resembling a piece of tape, that is used to assist with the calculations of ratios and addition, subtraction and commonly multiplication.

Here,

Length of the Beginner trail is 200 meters

And also expert trail is 4 times to Beginner trail.

So, Expert trail = 4 * Length of beginner trail.

     Expert trail = 4* 200

                        = 800 meters.

Hence, we get the answer.

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