simplify 2d(3) expression

The corresponding sides on both rectangles have the same length.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both

The given rectangles are congruent to each other as the corresponding sides to the rectangle on the left have the same length as the corresponding sides of the rectangle to the right.

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Answer:

 we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  [tex]\frac{2^5}{8}=2^2[/tex]

8 can be rewritten as [tex]2^3[/tex]

Hence, the given expression becomes

[tex]\frac{2^5}{2^3}=2^2[/tex]

After subtracting the exponents on left hand side of the equation we get:

[tex]2^2=2^2[/tex]

we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Answer:

Step-by-step explanation:

We have been given the expression  2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Answer:

Step-by-step explanation:

It is given that A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]yards a width of [tex]2\frac{1}{2}[/tex] yards, and a height of 4 yards.

Now, the volume of the prism is given as:

[tex]V=Length{\times}width{\times}height[/tex]

[tex]V=\frac{5}{4}{\times}\frac{5}{2}{\times}4[/tex]

[tex]V=\frac{25}{2}[/tex]

[tex]V=12\frac{1}{2}cubic yards[/tex]

Therefore, the volume of the rectangular prism will be [tex]V=12\frac{1}{2}cubic yards[/tex].

Answer:

V=12 1/2cubic yards.

Step-by-step explanation:

Answer:

each day they eat 8 bags

44-8=34

so the 5th day 34 bags will remain

The area of the trapezoid window is 396cm sq.

The area of a trapezoid window can be calculated using the formula:

Area = 1/2 x (base1 + base2) x height

Plugging in the values:

base1 = 34 cm

base2 = 28 cm

height = 18 cm

Area = 1/2 x (34 + 28) x 18 = 396 cm²

Answer:

Blake should not include the outlier because it overstates the effect of rainfall on temperature.

Step-by-step explanation:

The outlier has a temperature much higher than the other points in the graph.  Since it is very different from the others, it is an outlier.  Since it has a higher temperature than the others, this means it overstates the effect of rainfall on temperature.

The True statement about Outlier is

Blake should not include the outlier because it overstates the effect of rainfall on temperature.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgement as to what constitutes aberrant behaviour.

Here, The temperature of the outlier is significantly greater than that of the other graphed sites.

It stands out from the others since it differs greatly from them.

It overstates the impact of rainfall on temperature because it has a higher temperature than the others.

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Answer:  Value of expression is 200.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}[/tex]

We need to use "law of exponents":

[tex]a^m\div a^n=a^{m-n}[/tex]

So, it becomes

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}\\\\=2\times 10^{-2+4}\\\\=2\times 10^2\\\\=200[/tex]

Hence, Value of expression is 200.

Answer:

x^3+8

Step-by-step explanation:

(x+2)(x^2-2x+4)

x^3-2x^2+4x+2x^2-4x+8

x^3+8

Answer:

The answer is C

50.4m²

Step-by-step explanation:

To find the area of the circle the formular is

Formular for area of circle = πr²

π = 3.14

r = 4m

Therefore

Area = 3.14 * 4²

= 3.14 * 16

= 50.24m²

So the answer is C

50.4m²

Step 1: Arrange the data given in ascending order, that is from least to greatest.

Given data:

[tex] 42, \; 51, \; 54, \; 46,\; 49, \; 53,\; 52, \; 37, \; 33, \; 36, \; 50, \; 41,\; 50,\; 38\\ \\ [/tex]

Data in ascending order:

[tex] 33, \; 36, \; 37, \; 38, \; 41, \; 42,\; 46, \; 49,\; 50, \; 50,\; 51,\; 52,\; 53, \; 54 [/tex]

Step 2: Find the median (Q2). The median is the value exactly in the middle of an ordered set of numbers .If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Since in our problem we have 14 datas, we need to pick the middle most numbers and find the average of the same.

[tex] Median =\frac{46+49}{2} =\frac{95}{2} =47.5 [/tex]

The median is called Q2 and equal to 47.5

Step 3: Find the lower quartile (Q1). Considering the values to the left of the median(Q2), the median to those values is the Q1 and called as Lower quartile.

[tex] Q1=38 [/tex]

Step 4: Find the upper quartile (Q3). Considering the values to the right of the median(Q2), the median to those values is the Q3 and called as Upper quartile.

[tex] Q3=51 [/tex]

Conclusion:

Using the above details we need to plot the box and whisker plot attached with this problem.

Based on the data, the true statement:

In Ana’s data, the median is closer to the mean than in Daris’s data.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of the data point. To find the median first arrange the data points in ascending order.

Given:

The chart shows the number of lines Ana and Daris used in their poems.

In Ana's data;

the median = 30

The mean = 36 and the mode = 30

In Daris's data;

the median = 50

The mean = 39 and the mode = 10.

From the given choices;

In Ana’s data, the median is closer to the mean than in Daris’s data.

Therefore, the median is closer to the mean.

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if there is 7 rectangles for every 140 cm there is 11 rectangles for 220 cm

7/140 = 11/220

Camerina worked for 5 hours and 30 minutes.

If the standard time is in am, simply remove the "am". If the hours portion is in a single digit. If the 12 hour time is in pm, we will add 12 hours amd remove pm.

According to the given question.

The work started at 9 am.

And Camerina end her work at 2:30pm.

To find the number of hours she had worked, we will subtract the started  time from the end time. But both are different one is in am and another is in pm.

So, first we have to make the time same i.e. we will convert the time in  24 hour.

So, according to 24 hour time 2:30pm  = 12: 00 + 2:30 = 14:30 hours

And 9 am = 09:00hr

Therefore,

The number of hours Camerina worked

= 14:30hr - 09:00hr

= 5 hours 30 minutes

Hence, Camerina worked for 5 hours and 30 minutes.

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Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages.

Jessica typically sends about 900 text messages per month.

Cost per message under the new plan = $65 / 900 = $ 0.072 per message

It make sense for her to switch to the new plan only if the cost per message in her existing plan is more than $ 0.072

Hope this helps..!!

Thank you :)