what is the volume of the rectangular prism each is 1/3

Explanation:

The commutative property of addition is where we can add two numbers in any order.

The general equation is x+y = y+x

A more concrete example would be something like 2+3 = 3+2 since both sides simplify to 5.

For 5a+b, it is the same as b+5a. We swap the two terms.

Answer:

2|10

5|5

1

Prime factors of 10 are 2*5

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The time for which the person must leave the money in the bank until it reaches $2500 is 1.2.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount is 1000 dollars, while the rate of interest is 6.75% which is compounded monthly. Therefore, the time it will need for the account to reach $2500 is,

2500 = 1000[1+(0.0675/12)¹²ˣⁿ

2.5 = (1.0675)¹²ⁿ

log(2.5)\ log(1.0675) = 12n

14.0278 = 12n

n = 1.1689 ≈ 1.2

Hence, the time for which the person must leave the money in the bank until it reaches $2500 is 1.2.

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Answer: 13.6 years

Step-by-step explanation: Dealta Math Answer

Answer: It's B.

Step-by-step explanation: It can't be A or D. The y-intercept is 2, not 4 so it is B.

Answer:

2

Step-by-step explanation:

the same as...

(2) is the answer

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

The central limit theorem states in probability theory that, in many instances, when independent random variables are added together, their correctly normalized sum tends toward a normal distribution, even if the original variables are not normally distributed.

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

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By assuming that the motion of the plastic disc thrown by Mary is a projectile motion, the missing values are 4 and 3 respectively.

Since we're assuming that the motion of the plastic disc thrown by Mary is a projectile motion, it simply means that the motion can be represented by a quadratic function (parabolic).

For a projectile motion, the height of the disc at the time when it's at the top would be the same (equal). Thus, we can logically deduce that:

Height at time (t = 1 seconds) = Height at time (t = 5 seconds)

4 = A.

Similarly, Height at time (t = 0 seconds) = Height at time (t = 6 seconds)

3 = B.

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well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

Answer:

a∈(-∝;-17)∩(11;+∝).

Step-by-step explanation:

|a+3|>14; ⇔ 14<a+3<-14; ⇔ 11<a<-17;

The slope formula along with coordinates of points ( p,q) and (x,y) [tex]m = \dfrac{y-q}{x-p}[/tex].

A slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When the slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to the amount we walk or run on the horizontal axis, the more the slope is.

The slope of a line that passes through points ( p,q) and (x,y)

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

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Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

6, 7, 7, 7, 8, 8, 9, 10, 10

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

6, 7, 7, 7

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

8, 9, 10, 10

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

The time taken for the candle to burn down to a height of 1.3 inches is 4.5 hours

A linear function is what can be written in the form of

y =mx+c

The rate at which the candle is burning is 0.6 inches/ hour

The initial height is 4 inches at t=0

The straight line equation can be written for this as

y =mx +c

as m = -0.6

at x = 0 , y = 4 therefore c =4

y = -0.6x +4

The time at which y = 1.3 inches is

1.3 = -0.6x +4

-2.7 = -0.6 x

x =4.5

4.5 hours is the time taken for the candle to burn down to a height of 1.3 inches.

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The value of the variable t will be 13 / 12.

The analysis of mathematical representation is algebra, and the handling of those symbols is logic.

The equation is given below.

3t - 2/4 - 2t - 3/3 = 2/3 - t

Then the value of t will be

t - 3/2 = 2/3 - t

      2t = 2/3 + 3/2

      2t = 13 / 6

         t = 13/12

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Answer:

[tex]x=5\\[/tex]

Step-by-step explanation:

First, put your equations into a system.

[tex]\left \{ {{x+7y=16} \atop {3x-7y=4}} \right.[/tex]

Next, use the method of elimination to solve the system. Elimination is when either x or y has an opposite coefficient (so in this case y has a coefficient of 7 or -7 depending on the equation). You can then add the equations, and y is eliminated as a variable. Now you can solve for x.

[tex]4x=20[/tex]

Lastly, divide by 4 on both sides to get x by itself.

[tex]x=5\\[/tex]

The equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

The expression is given as:

14r^4y^6/7r^8y^2

Start by dividing 14 by 7

2r^4y^6/r^8y^2

Next divide y^6 by y^2

2r^4y^4/r^8

Lastly divide r^4 by r^8

2y^4/r^4

Hence, the equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

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Upon searching for your question, I believe there are 8 [tex]\frac{1}{4}[/tex] cups, and not 814 cups.

Answer: 6 [tex]\frac{3}{4}[/tex] cups of water

Step-by-step explanation:

    First, we will turn 12 ounces into units of cups.

         12 / 8 = 1.5 cups

    Now, we will subtract the start of the month from the end of the month.

         8.25 cups - 1.5 cups = 6.75 cups

   Lastly, we will turn it into a mixed number.

         .75 = [tex]\frac{3}{4}[/tex]

         6 [tex]\frac{3}{4}[/tex] cups

     6 [tex]\frac{3}{4}[/tex] cups of water were added to the barrel during the month.

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Answer:

8- foot shadow? i am not sure

Answer:

i believe its 12 feet!

Step-by-step explanation:

assuming that the difference from the 6 foot giraffe with a four foot shadow is two feet, the 10 foot shadow would be two feet less then the giraffes height.

Answer:

  0.513671875 = 263/512 inches

  easier to use: depends on the measurement tool

Step-by-step explanation:

The model dimension is found by multiplying the actual dimension by the scale factor.

__

  model frame dimension = actual frame dimension × 1/64

  = (32.875 inches)/64 = 0.513671875 inches

In fractional form, this is ...

  (32 7/8) / 64 = (263/8) / 64 = 263/512 . . . inches

__

It is unlikely that a casual hobbyist will have access to tools that measure with a resolution finer than 0.0001 inches. More common would be a measurement resolution of 0.001 inches. Using such tools, the rounded decimal value 0.5137 or 0.514 inches would be more useful than the fractional measurement.

It is possible that an optical measuring device could be available that would present its result as a fraction of an inch. If such a tool were used, the fractional measurement value would provide an appropriate point of comparison.

In short, the measurement easiest to work with depends on the tool being used to make the measurement.

The statement that is an example of the distributive property is (c) 3(2+15)= 3(2) + 3(15)

The distributive property states that:

a(b + c) = a(b) + a(c)

Using the above property, we have:

3(2+15)= 3(2) + 3(15)

Hence, the statement that is an example of the distributive property is (c) 3(2+15)= 3(2) + 3(15)

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Answer:

1-250 i think

Answer: B

Step-by-step explanation:

trust me bro

Answer:

Depositors

Step-by-step explanation:

Answer:

Banks get the money from the people that deposit their money at the bank for a low interest rate and lend to the customers with a high interest rate.

The percentile rank for 10 will be 10th.

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x  100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5  x  100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5  x 100 = 90th

The percentile rank for 10 will be 10th.

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Answer:

59

Step-by-step explanation:

Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.

Answer: 0.5 or - 0.834

Step-by-step explanation: Here is the explanation!

Answer:

In the right triangle, the side a=[tex]4[/tex] and the hypotenuse c=[tex]7[/tex].

To find: the value of x

We have,

[tex]a=6[/tex] and [tex]c=7[/tex]

Now,by the pythagorean theorem,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Substitute the values,

[tex] {6}^{2} + {x}^{2} = {7}^{2} [/tex]

[tex]36 + {x}^{2} = 49[/tex]

Subtract 36 from each sides,

[tex] {x}^{2} = 13[/tex]

Take square root from each sides,

[tex]x = \sqrt{13} [/tex]

Hence, the value of x is [tex]\sqrt{13}[/tex].

Answer:

b. line of best fit

Answer:

x^2 -3x+1

it is your answer

The function x² - 3x + 1 represents a quadratic function.

A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants.

In option A, we have f(x) = x² - 3x + 1, which fits the form of a quadratic function with coefficients a = 1, b = -3, and c = 1.

In option B, the function is Exponential.

In option C, the function is Exponential.

In option D, the function is logarithm.

Therefore, x² - 3x + 1 represents a quadratic function.

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