the formula for finding the volume of a rectangular prism is v=bh. A rectangular prism with dimensions _______ will have a volume of 150 cubic units.

A. 8 by 3 by 4
B. 5 by 6 by 5
C. 7 by 5 by 4
D. 9 by 3 by 2

Plz hurry I'm taking a test!!
12 points :)​

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Data validation is the exercise of checking the integrity, accuracy and shape of facts before it's miles used for a enterprise operation. records validation operation effects can offer statistics used for facts analytics, commercial enterprise intelligence or training a system gaining knowledge of version.

in this method, take a look at cases are evolved using the use cases of the system. A use case embody the diverse actors and their interactions with the machine. Use instances cover the entire transactions from begin to finish. those check cases depict the real use of software via the end consumer.

The superior Accounting Specialization makes a speciality of superior standards which includes subsidiaries, partnerships, intercompany transactions, mergers and acquisitions and consolidations

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Answer:

we use the following Formula to anwer the above mentioned question;

(x - m)/given standard deviation =

Here,

x = 46

M = given mean value ( 52)

Now, put the given values in the above formula;

Hence the answer will be

(46 - 52) / 5 = - 1.2



Answer = -1.

Step-by-step explanation:

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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The time when the food price is most and cheapest is obtained from the extremum value of the function.

The extremum of a function is a maximum or minimum value of the function.

The function that models the food-price is I(t) = 0.00009045·t⁵ + 0.001438·t⁴ - 0.0656·t³ + 0.4598·t² - 0.6270·t + 99.33

Where;

t = The number of years since 1984

I(3) = 100

The time when the food is cheapest or most expensive can be obtained by differentiating the function for food-price and equating the result to 0 as follows;

I'(t) = 0.00009045×5·t⁴ + 0.001438×4·t³ - 0.0656×3·t² + 0.4598×2·t - 0.6270 = 0

Factoring the result, using a graphing calculator, we get;

(t - 0.823)·(t - 5.131)·(t - 11.05)·(t + 29.72) = 0

The values of the minimum and maximum values are therefore';

I(0.823) = 0.00009045×0.823⁵ + 0.001438×0.823⁴ - 0.0656×0.823³ + 0.4598×0.823² - 0.6270×0.823 + 99.33 ≈ 99.08

I(5.131) = 0.00009045×5.131⁵ + 0.001438×5.131⁴ - 0.0656×5.131³ + 0.4598×5.131² - 0.6270×5.131 + 99.33 ≈ 100.67

I(11.05) = 0.00009045×11.05⁵ + 0.001438×11.05⁴ - 0.0656×11.05³ + 0.4598×11.05² - 0.6270×11.05 + 99.33 ≈ 96.38

I(-29.72) = 0.00009045×(-29.72)⁵ + 0.001438×(-29.72)⁴ - 0.0656×(-29.72)³ + 0.4598×(-29.72)² - 0.6270×(-29.72) + 99.33 = 1270.8

Therefore, the food price when the food was cheapest is $99.08

The time when the food is most cheapest where 0 ≤ t ≤ 10 is t = 0.823 years ≈ 1 years

Similarly, the food price when the food was most expensive in a 10 year time frame is $100.67

The time when the food is most expensive is t ≈ 5.131 years ≈ 5 years

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The formula for angular magnification is given by M = (θ' / θ), where θ' is the angle subtended by the image and θ is the angle subtended by the object.

(a) When the image of the thimble appears at Pn, the distance of the object from the lens is 25cm and the focal length of the lens is 15cm. Using the lens formula, we can find the image distance as: 1/f = 1/v - 1/u
where f = 15cm, u = 25cm, and v is the image distance. Solving for v, we get: v = 37.5cm, Now, the magnification is given by: M = (-v / u) = (-37.5 / 25) = -1.5, Since the magnification is negative, the image is inverted.

(b) When the image of the thimble appears at infinity, the object is positioned at the focus of the lens (i.e., at a distance of 15cm from the lens). In this case, the magnification is given by: M = (-f / u) = (-15 / 15) = -1. Again, the magnification is negative, indicating that the image is inverted. Note that when the image is at infinity, the angular magnification is equal to the ratio of the lens' focal length to the eye's near point, which is usually taken to be 25cm. Thus, in this case, the angular magnification is: M = (f / Pn) = (15 / 25) = 0.6, This means that the image appears 0.6 times larger than the object when viewed through the lens.

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Answer:

x= -1

Step-by-step explanation:

Hope this helped. <3

Answer:

X=-4

Step-by-step explanation:

3x-8=2X(x-6)

3x-8=2x-12

3x-2x=-12+8

x=-4

The measure of the obtuse base Z is -22/3. The given information may lead to a negative value for the measure of the obtuse base, which might not make sense in the context of an isosceles trapezoid.

Let's denote the measure of the obtuse base Z as "x".

According to the given information, the acute base Z of an isosceles trapezoid is eight less than one-third of the obtuse base 2. Mathematically, we can express this relationship as:

Z = (1/3)*2 - 8

Simplifying:

Z = 2/3 - 8

Z = 2/3 - 24/3

Z = -22/3

Therefore, the measure of the obtuse base Z is -22/3.

It's important to note that the given information may lead to a negative value for the measure of the obtuse base, which might not make sense in the context of an isosceles trapezoid. It's possible that there may be an error in the information provided or in the calculations. Please double-check the given information and calculations to ensure accuracy.

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True - most of the basic operations on tree data structure takes o(h) time (h is the height of the tree). true false

The time complexity of most basic operations on a tree data structure, such as searching, inserting, and deleting a node, depends on the height of the tree. This is because the height of the tree determines the maximum number of nodes that need to be traversed in order to perform the operation. In a balanced tree, where the height is proportional to log(n) (n being the number of nodes), the time complexity of the basic operations is O(log(n)). However, in an unbalanced tree, where the height can be as large as n (worst-case scenario), the time complexity of the basic operations becomes O(n). Therefore, it is important to keep the tree balanced to maintain efficient operations. In conclusion, most of the basic operations on a tree data structure takes O(h) time, where h is the height of the tree.

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Answer:

The balance after 6 years is $1110.812026

Step-by-step explanation:

The rule of the compound interest is A = P\((1+\frac{r}{n})^{nr}\), where

∵ Layla opened a savings account and deposited $700.00 as principal.

∴ P = 700

∵ The account earns 8% interest compounded annually

∴ r = 8% = 8 ÷ 100 = 0.08

∴ n = 1 ⇒ compounded annually

∵ The time is 6 years

∴ t = 6

→ Substitute these values in the rule above

∵ A = 700\((1+\frac{0.08}{1})^{1(6)}\)

∴ A = 700\((1.08)^{6}\)

∴ A = 1110.812026

∴ The balance after 6 years is $1110.812026

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words, 50 calories of energy are stored In Its body. So, option D is correct.

When a raccoon eats 500 calories of food, some of those calories go towards its daily needs for warmth, movement, and reproduction. The raccoon's body does not store this energy; instead, it is transformed into other forms, including heat and movement. In addition, a portion of the energy in meals is expelled as waste rather of being absorbed. Nonetheless, 50 calories of the food's energy are transformed into biomass, which is then stored as fat or tissue in the raccoon's body. Thus, the right response is D) Its body stores 50 calories of energy.

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The actual question is:

A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words:

A) 50 calories turn into plant matter.

B) 50 calories leave the raccoon's body as waste.

C) In order to stay warm, reproduce, and move around, it needs 50 calories of energy.

D) 50 calories of energy are stored In Its body

Answer:

\(\sf y = -2\frac{1}{9} x\)

linear function solve:

coordinates given: (0,0), (-9,19)

slope:

\(\sf \frac{y2-y1}{x2-x1}\)

\(\sf \frac{19-0}{-9-0}\)

\(\sf \frac{19}{-9}\)

equation:

\(\sf y - y_2 = m(x-x_2 )\)

\(\sf y - 0 = \frac{19}{-9} (x-0 )\)

\(\sf y = \frac{19}{-9} x\)

\(\sf y = -2\frac{1}{9} x\)

Answer:

\(f(x)=-\dfrac{19}{9}x\)

Step-by-step explanation:

Let \((x_1,y_1)\) = (0, 0)

Let \((x_2,y_2)\) = (-9, 19)

First find the slope of the function using \(\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\implies \textsf{slope }m=\dfrac{19-0}{-9-0}=-\dfrac{19}{9}\)

Now use the point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)

\(\implies y-19=-\dfrac{19}{9}(x+9)\)

\(\implies y=-\dfrac{19}{9}x\)

\(\implies f(x)=-\dfrac{19}{9}x\)

Answer: A

Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount

The nth term of the arithmetic sequence is represented by the equation a = -1856 + 98(n - 1). Mathematical computation.

Mathematical arithmetic, which encompasses numerical operations, is its foundation. Addition, subtraction, multiplication, and division are included in this list. One of the key areas of mathematics that students must master in order to succeed in the topic of "Maths" is arithmetic. For all real numbers, the four fundamental mathematical operations are: Finding the sum by adding; "+" Removing (finding the difference; "-" Finding the product in multiplication (") Finding the quotient using division; ""

given

a19 = -92, a20 = 6

So, Common difference = d

d = a20 - a19

d = 6 - (-92)

d = 6 + 92

d = 98

We know that the formula for nth term an = a1 + (n - 1)d

Substitute the value of n = 20

a20 = a1 + (20 - 1)d

6 = a1 + 19(98)

6 = a1 + 1862

6 - 1862 = a1

-1856 = a1

a1 = -1856

Now nth term:

an = a1 + (n - 1)d

an = -1856 + (n - 1)98

an = -1856 + 98(n - 1)

The nth term of the arithmetic sequence is represented by the equation a = -1856 + 98(n - 1). Mathematical computation.

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Answer:

12 no .

x+2(4/5)=3(1/6)

x+5*2+4/5=6*3+1/6

x+14/5=19/6

5*x+14/5=19/6(do cross multiplication)

6(x+14)=19*5

6x+84=95

6x=95-84

x=11/6

Step-by-step explanation:

13 no

-0.4a+1.2=3.6

-0.4a=3.6-1.2

a=2.4/-0.4

a=-6

Answer:

y = 5 - 2x

Step-by-step explanation:

Answer:

y=5-2x

Step-by-step explanation:

\(3y = 15 - 6x\)

\(y = \frac{15 - 6x}{3} \)

if you divided it

\(y = 5 - 2x\)

i think this is the answer

The mean can be calculated by adding the numbers together and dividing the result by the number of observations. The mean of scores is 81.

In mathematics and statistics, the concept "mean" refers to the mean of a set of variables. There are several ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the amount of observations).

Finding the mean is very simple. Add up all the numbers, then divide it by the quantity of observations. The mean formula is below:

\(\frac{x_1+x_2+,,,,,,,,,,x_n}{n}\)

We know that mean of a given set of data,

\(Me an=\frac{Total Sum of given data }{total number of values given}\\\\\\ Mean=\frac{90+87+58+79+91}{5} \\\\Mean=\frac{405}{5} \\\\Mean=81\)

Hence, mean of the given scores is 81.

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There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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Answer: Infinite

Step-by-step explanation: You can substitute the number x with anything and get the same answer, so it’s an infinite amount.

Thus, there are 208 positive integers less than 1000 that are divisible by exactly one of 7 and 11. The rules used to find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11 are:

a. The principle of inclusion-exclusion for sets: This rule is used to count the number of integers that are divisible by both 7 and 11, and subtract them from the total number of integers that are divisible by either 7 or 11. This gives us the number of integers that are divisible by exactly one of 7 and 11.

b. The division rule: This rule is used to find the number of integers that are divisible by a certain number within a given range. For example, we can use the division rule to find the number of integers less than 1000 that are divisible by 7.

c. The product rule: This rule is used to find the number of ways two or more events can occur together. In this case, we can use the product rule to find the number of integers that are divisible by both 7 and 11.

d. The sum rule: This rule is used to find the total number of ways two or more events can occur separately. In this case, we can use the sum rule to find the total number of integers that are divisible by either 7 or 11.

By using these rules, we can find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11.

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Answer:

c

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

\(-6 < k < 2\)

Step-by-step explanation:

Given

\(y = x^2 - 2x\)

\(y =kx -4\)

Required

Possible values of k

The general quadratic equation is:

\(ax^2 + bx + c = 0\)

Subtract \(y = x^2 - 2x\) and \(y =kx -4\)

\(y - y = x^2 - 2x - kx +4\)

\(0 = x^2 - 2x - kx +4\)

Factorize:

\(0 = x^2 +x(-2 - k) +4\)

Rewrite as:

\(x^2 +x(-2 - k) +4=0\)

Compare the above equation to: \(ax^2 + bx + c = 0\)

\(a = 1\)

\(b= -2-k\)

\(c =4\)

For the equation to have two distinct solution, the following must be true:

\(b^2 - 4ac > 0\)

So, we have:

\((-2-k)^2 -4*1*4>0\)

\((-2-k)^2 -16>0\)

Expand

\(4 +4k+k^2-16>0\)

Rewrite as:

\(k^2 + 4k - 16 + 4 >0\)

\(k^2 + 4k - 12 >0\)

Expand

\(k^2 + 6k-2k - 12 >0\)

Factorize

\(k(k + 6)-2(k + 6) >0\)

Factor out k + 6

\((k -2)(k + 6) >0\)

Split:

\(k -2 > 0\) or \(k + 6> 0\)

So:

\(k > 2\) or k \(> -6\)

To make the above inequality true, we set:

\(k < 2\) or \(k >-6\)

So, the set of values of k is:

\(-6 < k < 2\)

Answer:

10.71

Step-by-step explanation:

add up costs

multiply by 1.14

divide by 3

Solution:

Given:

The rate at which Chris swims is 2 mph.

This represents the slope (m).

Using the slope-intercept form of the linear equation;

y = mx + b

where, b = 0, m = 2

Hence;

Therefore, the correct answer is OPTION C.

\(\\ \rm\Rrightarrow 77x+93=360\)

\(\\ \rm\Rrightarrow 77x=360-93\)

\(\\ \rm\Rrightarrow 77x=367\)

\(\\ \rm\Rrightarrow x=4.77\)

\(\\ \rm\Rrightarrow x=4.8\)

Aswer with Nina ^-^

Don't report my answer ✅

To determine the probability of a continuous distribution we use the integral to determine it and for the normal distribution the integral is not so simple, for that reason it is simpler to use range values from tables.

Probability can be determined from a continuous distribution in the following way:To compute the probability of a given interval for a continuous random variable, the area under the curve over the interval is determined. Integrals are used to calculate this area under the curve, which can be done either numerically or analytically using probability density functions.

For some distributions, such as the uniform distribution, calculating the area under the curve is straightforward. However, for other distributions, such as the normal distribution, it can be more difficult to calculate the integral analytically.

The normal distribution is a continuous probability distribution that is frequently used in statistics. It is defined by its probability density function, which is a bell-shaped curve with a mean and a standard deviation.

Calculating the area under the curve for the normal distribution requires the use of integrals. Integrals are difficult to solve analytically for the normal distribution because the probability density function is not simple. However, it is relatively simple to calculate the probability for a given range of values using standard statistical tables or computer software.

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