Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?

A rectangle with length 3 cubed feet and width of 3 squared feet.

Find the area.

1. Multiply powers: 32 · 33

2. Expand each power: (3 · 3) · (3 · 3 · 3)

3. Simplify: 35



Complete each sentence.

The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.

The given series is a geometric sequence with a common ratio of 1/2 it is also written as 0.5.

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Number sequences are groups of numbers that adhere to a pattern or rule. A geometric sequence is one in which the rule is to multiply or divide by a specific number each time.

We have,

20, 10, 5, …

The distinction between consecutive terms is:

10 - 20 = -10

5 - 10 = -5

Since -10 ≠ -5, therefore the given series has no standard difference, which means the given sequence is not arithmetic.

The ratio between consecutive terms is:

10/20 = 1/2

5/10 = 1/2

The given series has a common ratio of 1/2, which means the given sequence is geometric.  it is also written as 0.5.

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Answer:

See below

Step-by-step explanation:

Step-by-step explanation:

I assume we want ca miles/hour answer as speed.

but just formally, any distance per time unit is speed.

in that sense

12 miles / 20 minutes = 3 miles / 5 minutes

is the speed.

but now to convert this to miles/hour.

we want to multiply 3/5 or 12/20 by f/f, so that the denominator is 1 hour.

by multiplying the numerator by the same value we make sure the speed ratio remains the same.

so, what "f" do we need to multiply 20 with to get 60 (1 hour = 60 minutes) ?

right, f = 3

therefore, we get

12/20 × 3/3 = (12×3)/(20×3) = 36/60 = 36 miles / 1 hour

his brother's driving speed was 36 miles/h or 36 mph.

Primarily use the Distributive Property to solve this equation.

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

Distribute the outer terms.

3(5) + 3(-x) - 2(5) - 2(x) = 3(x) + 3(1)
15 - 3x - 10 - 2x = 3x + 3
-3x - 2x + 15 - 10 = 3x + 3
-5x + 5 = 3x + 3

Now, isolate all x terms.

-5x + 5x + 5 = 3x + 5x + 3
5 = 8x + 3
5 - 3 = 8x + 3 - 3
2 = 8x
2/8 = 8x/8
x = 1/4

The product of 54 and 2.2*10^6 expressed in scientific notation 1.188 x 10⁸

Formulate the following given the conditions: 54 × 2.2 × 106

Incorporate and multiply: (54 x 2.2) = 106

Determine the quotient or product:

118.8 × 106

Write the amount in scientific notation as follows: 1.188 108

1.188 108 written in scientific notation

Solution: 1.188 x 10⁸

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The percent error of Ming’s estimate is 40%.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

Estimated number of members in his bicycle club by the end of summer = 21

Actual number of members in his bicycle club by the end of summer = 15

Now, the percent error of Ming’s estimate :

percent error = {(21-15)/15 } x 100

percent error = (6/15) x 100

percent error = 40%

Therefore, the percent error of Ming’s estimate is 40%.

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Answer: 12x-8y

- Hope this helped.

Answer:

12x-8y

Step-by-step explanation:

combine 10x and 2x

the combine (-5y) and (-3y)

Answer: the answer is (0,-8)

The other conjecture from A to C is true the only false conjecture is the option D.

Adjacent angles

Answer:

The first 4 terms are 3,9,15, and 21

Step-by-step explanation:

There's a image of all of the work above

Answer:

l=4.5

Step-by-step explanation:

The area of a rectangle is length times width.

Area = LW

L = length

W = width

L = Area / W

L = 45 / 10

L = 4.5

Answer:

- 11s² + 2s + 9

Step-by-step explanation:

B = 2s + s²

A = 3 - 4s²

then

 2s + s² + 3(3 - 4s²)

=2s + s²+ 9 - 12s²

= - 11s² + 2s + 9

The population that is most dense is the one for  5000 individuals per 200 square meters

Given the following information:

100 individuals per 100m^2

5000 individuals per200m^2

100,000 individuals per 20,000m^2

15,000 individuals per 10,000m^2

We find the population that is most dense using the formula:

Population density=(No. of people/Land area)

For 100 individuals per 100m^2,

Population density=100/100=1

For 5000 individuals per200m^2

Population density=5000/200=25

For 100,000 individuals per 20,000m^2

Population density=100,000/20,000=5

For 15,000 individuals per 10,000m^2

Population density=15,000/10,000=1.5

Hence, highest population density is 25 for 5000 individuals per200m^2  

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Answer:

The red dot is between -7 and -8 on the number line so it has a fractional or decimal value. The number of equal parts from one whole number to the next whole number is the number in the denominator. The number of equal parts from -7 to the red dot is the number in the numerator.

Step-by-step explanation:

Answer:

pi/2

Step-by-step explanation:

sqrt(2) is around 1.4

sqrt(pi) is around 1.75

sqrt(4) is 2

So only option left is pi/2 which is around 1.57

Answer:

Answer down below!

Step-by-step explanation:

Let's start off by finding a point in the graph where we can start off on

This point that we can use it (0,-3)

From there, we use rise/run to find the slope

We go up 1 and over 1

Thus, our slope is 1!

After solving the quadratic equation x² + 3x = 40 using the quadratic formula, (A)  x = –8, x = 5  

We can solve this quadratic formula by following a few steps.

The given equation is,

x² + 3x =40

Let's subtract 40 from both sides,

x² + 3x - 40 =40 - 40

Or, x² + 3x - 40 = 0

Now, we have to find a suitable pair of factors of -40 which is capable to generate +3 ( coefficient of x ).

The required pair is 8 and -5, and ( 8 - 5 ) = 3    

[ -40 = 8 × -5 ]

Therefore, x² + 3x - 40 = 0

Or, x² + ( 8 - 5 )x - 40 = 0

Or, x² + 8x - 5x - 40 = 0

Or, x ( x + 8 ) - 5 ( x + 8 ) = 0   [ taking x and 5  as common ]

Or, ( x + 8 ) ( x - 5 ) = 0            [ taking ( x + 8 ) as common ]

If the multiplication or product of two or more terms is zero, then we can write each term as zero.

               ( x + 8 ) = 0

               Or, x = -8        ( by subtracting 8 from both sides )

              ( x - 5 ) = 0

              Or, x = 5           ( by adding +5 with both sides )

Now, we can conclude that x = -8 and 5.    

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Answer:

x=0

Step-by-step explanation:

3=2x+3

Subtract 3 on both sides

0=2x

x=0

Not necessarily, because this was not an experiment.

In my opinion, Yet scientific evidence from case studies, surveys of meditator experiences, and historical studies is emerging to show that meditation can be associated with stress, negative effects, and mental health problems. Meditation can induce a state of deep relaxation and a calm mind. During meditation, you focus your attention and eliminate the stream of disorganized thoughts that can fill your mind and cause stress. This process can lead to increased physical and emotional well-being.

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Answer:

Step-by-step explanation:

ewerwerer

Answer:

A question you will ask the people in your sample.

Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

d  138

Step-by-step explanation:

<5 is vertical to <2, so they are congruent.

<2 is corresponding to the 138° angle, so they are congruent.

m<5 = m<2 = 138°

Answer: d  138

Yes

By drawing 36 little ones and 1 small one

Answer:

A

Step-by-step explanation:

a/b;

2/1=2;

5/4=1.25

that's why we can write it this way: 1.25 < a/b < 2

means the answer is A

a)Table is completed below.

b)The scale should take the coefficient 1.4 into account, therefore the x-axis scale will be 100 with 1-cm intervals and the y-axis scale will be 140 with 1.4-newton intervals.

What is proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant. In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Given.

The proportion is: according to the first row of the proportional relationship

y = kx

28 = k*20

k = 28/20 = 1.4

the following is the function:

y = 1.4x

a) Fill in the following table:

Weight and distance (in centimeters) (newtons)

20 | 28

55 | 55*1.4 = 77

140/1.4 = 100 | 140

1 | 1*1.4 = 1.4

b) The scale should take the coefficient 1.4 into account, therefore the x-axis scale will be 100 with 1-cm intervals and the y-axis scale will be 140 with 1.4-newton intervals.

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The common ratio of the Geometric sequence 19, 38, 76 ....  is 2.  

The distance between each number in a geometric series is known as the common ratio.

The reason it is common to all numbers and also the ratio between two consecutive numbers in the sequence is why it is known as the common ratio.

Divide the nth term by the (n-1)th term in a geometric series to find the common ratio.

The common ratio of the Geometric sequence 19, 38, 76 is

 common ratio = (38/19) = 2

or   common ratio  = 76/38 = 2

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Answer:

1500

Step-by-step explanation:

EXPLANATION:

Given;

We are given a graph of a function.

Required;

We are required to determine from the graph if the function is even, odd or neither even nor odd.

Solution:

To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.

Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.

However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.

Therefore, the graph depicted is an odd function

ANSWER:

The function is an ODD function

Answer:

A , B, D, F

Step-by-step explanation:

A) ∠1 ≅ ∠ 4    {Vertically opposite angles are congruent}

B) m∠2 + ∠4 + ∠6 = 180°    {Straight line angles}

    ∠6 ≅ ∠3

⇒ ∠2 + ∠4 + ∠3 = 180°

D) ∠2 + ∠3 + ∠4 = 180°   {Straight line angles}

f) ∠2 + ∠3 = ∠5 + ∠6   {Vertically opposite angles}

Answer:

v = 8

Step-by-step explanation:

[tex]2(2v + 9) = 50[/tex]

[tex]2v + 9 = 25[/tex]

[tex]2v = 16[/tex]

[tex]v = 8[/tex]