A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.

What is the volume of the prism?

Enter your answer in the box as a simplified mixed number or a decimal.


________m³

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

7/140 = 11/220

Final answer:

Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.

Explanation:

Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.

Here's how we'll calculate it:

Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.

Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.

The percent error in Dennis's estimate is 12.5%.

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:

- 0.39

Step-by-step explanation:

Level of precision = 0.01 mL

We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .

Let x be a number  which could be added to 0.40 mL for the level of precision to be 0.01 mL .

[tex]x+0.40=0.01[/tex]

On subtracting 0.40 from both sides , we get

[tex]x+0.40-0.40=0.01-0.40[/tex]

On solving , we get

[tex]x+0=0.01-0.40[/tex]

We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .

So,

[tex]x=0.01-0.40[/tex]

Here , [tex]0.01-0.40=-0.39[/tex]

Therefore ,

[tex]x=0.01-0.40=-0.39[/tex]

Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL

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.

Find out more information about conversion of standard time in 24 hour time format here:

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Wesley walked 2.75 miles in one hour, calculated by dividing the total distance (11 miles) by the total time (4 hours).

The question asks how far Wesley walked in one hour if he walked 11 miles in 4 hours at a consistent pace. To find this, we can calculate his average speed by dividing the total distance by the total time. This gives us an equation: Average speed = Total distance / Total time, which simplifies to: Average speed = 11 miles / 4 hours.

Performing the division, we get an average speed of 2.75 miles per hour. Therefore, Wesley walked 2.75 miles in one hour.

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:

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.

Learn more about outlier here:

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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:

k = the constant of proportionality .>. sorry this already kinda answered ;w;'

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

Answer:

greg weighs 180 justin weighs 165

Step-by-step explanation:

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 :)

Answer:

each day they eat 8 bags

44-8=34

so the 5th day 34 bags will remain

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.

To learn more about the median;

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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