3. James has a box shaped as a rectangular prism. The container is 8 inches long, 4 inches wide, and 5 inches high. (a) Here is a model of the box. It is filled with unit cubes. Find the volume of the box using the unit cubes. Explain your answer. Answer: 160 cubic inches (b) Find the volume of the box using the formula. Answer: (c) Find the volume of the box using the formula. Answer: (d) How does using the volume formulas to find the volume of a rectangular prism compare to counting unit cubes? Compare your answers in parts (b) and (c) your answer in part (a) to answer the question. Answer:

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

5400

4500 multiplied by 1.2

Answer:

The original price would be $5,625

Step-by-step explanation:

The formula to finding out the original price is -

OP = SP/1 - P

- OP = Original Price

- SP = Sale Price

- P = Percent Discount

Now just put in the respected values and you'll get -

OP = 4500/1 - 0.20

Now solve :D

OP = 4500/1 - 0.20

= 4500/0.8

= 5625

So the original price is $5,625

Hope this helped! :D

Answer:

Using the given information in the problem, the value of f  is 9

Step-by-step explanation:

In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.

Let's set up our equation for tangent.

\(Tan(58)=\frac{15}{f}\)

Since we are looking for f , then we will rearrange the equation.

\(f=\frac{15}{tan(58)}\)

Now, we will solve for x. You can use a calculator to do these calculations.

\(f=9\)

So, the value of f in the triangle is 9.

Answer:  f=9

Because quick mafs says so

To find the probability P(X > 1078) in a normal distribution, we need to calculate the area under the curve to the right of 1078.
Given data are:
Sample size `n` = `10` Mean `μ` = `920` Standard deviation `σ` = `250`
We have to find:P(X > 1078)
Using the formula of standard score, The Z-value is calculated as:Z = X - μ/σZ = 1078 - 920/250Z = 0.672  The Z value is 0.672. The probability of P(X > 1078) can be calculated using the Z score table shown below: The probability can be determined from the Z table:0.2514.
Therefore, the probability of P(X > 1078) is `0.2514`.
Hence, the required probability is `0.2514`.

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Answer:

The variable of summation is represented by an index which is placed beneath the summation sign. The index is often represented by i. (Other common possibilities for representation of the index are j and t.) The index appears as the expression i = 1.

Step-by-step explanation:

~Feitan Portor~

Answer:

Over time, mathematicians have developed a set of rules called the order of operations to determine which operation to do first. The rules are: Multiply and divide from left to right. Add and subtract from left to right.

Step-by-step explanation:

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.

Answer:

You got to give me an qestion with numbers but hears how you do it.

Step-by-step explanation:

The rules are, Multiply and divide from left to right. Add and subtract from left to righ

 Hope this helps

Answer:

\(\frac{2}{11}\)

Step-by-step explanation:

\(\frac{6}{11} * \frac{1}{3}\)

since 6 and 3 are opposite of each other in this multiplication problem, you can divide them by 3 since they are both divisible by 3

\(\frac{2}{11} * \frac{1}{1} = \frac{2}{11}\)

Answer:

1.Understand the problem

2.Gather your resources

3.Come to answer

4.Check your answer and present solution

Step-by-step explanation:

Answer:

Number 1 is gather your resources

Number 2 is understand the problem

Number 3 is come to an answer

and number 4 is check your answer and present the solution

Answer:

2

Step-by-step explanation:

\(12x^2+5x-2=\\\\(4x-1)(3x+2)\)

You can check this by working backwards and expanding:

\((4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2\)

Hope this helps!

The Taylor polynomial t1(x) for the function f(x) = cos(x) based at b = 6 is t1(x) = 1 - 2(x - 6).

The Taylor polynomial of degree 1, denoted as t1(x), is a polynomial approximation of a function based on its derivatives at a particular point. In this case, we are finding t1(x) for the function f(x) = cos(x) based at b = 6.

To find t1(x), we need to consider the first-degree terms of the Taylor series expansion. The first-degree term is given by f(b) + f'(b)(x - b), where f(b) represents the function value at b and f'(b) represents the derivative of the function evaluated at b.

For the function f(x) = cos(x), we have f(b) = cos(6) and f'(b) = -sin(6). Substituting these values into the first-degree term formula, we obtain t1(x) = cos(6) - sin(6)(x - 6). Simplifying further, we get t1(x) = 1 - 2(x - 6).

In summary, the Taylor polynomial t1(x) for the function f(x) = cos(x) based at b = 6 is given by t1(x) = 1 - 2(x - 6). This polynomial provides a linear approximation of the function f(x) near the point x = 6.

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Answer:

-12-2y

Step-by-step explanation:

-2[6±5y]±8y

negative × positive=negative

-12-10y±8y=-12-2y

Answer:

x²-15=0 {GIVEN}

Step-by-step explanation:

x²=15

x=±√15

Answer:

Each student will have passed 17 tests; It will take 3 weeks.

Step-by-step explanation:

The explanation is in the picture.

Answer:

\( \frac{1}{.41} = 2.4390\)

One British pound should sell for $2.4390.

D is correct.

Answer:

AB = √(4^2 + 1^2) = √(16 + 1) = √17

GH = √(4^2 + 4^2) = √(16 + 16) = √32

= 4√2

The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line" is true because it provides the best fit line.

The simple linear regression equation estimates the relationship between two variables - a dependent variable (y) and an independent variable (x) - by fitting a straight line through the data points.

The line is chosen so that the sum of the squared deviations (also known as the sum of squared errors or SSE) between the observed values of y and the predicted values of y on the line is minimized.

In other words, the simple linear regression equation finds the line that is closest to all the data points in terms of the vertical distance between the points and the line.

This line is chosen to minimize the sum of squared deviations because it provides the best estimate of the relationship between x and y, and it allows for the prediction of y values for a given x value.

Thus, minimizing the sum of squared deviations is a crucial aspect of the simple linear regression equation because it ensures that the line of best fit provides the most accurate estimate of the relationship between the variables.

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Answer:

<

_

Step-by-step explanation:

Just some basic logic.

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Answer:

hope it helps

The mass of dog having weight as 19 kg has its mass in grams as 1.9 x 10⁴ grams, option C.

In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force. The change caused by an applied force is smaller the more mass a body has.

Measuring units to determine the size, weight, or quantity of any object. Seven fundamental measurement units are utilized in daily life and across the globe.

A dog has a mass of 19 kg

The mass of the dog in grams is:

1 kilogram = 1000 grams

19.5 kg × (10³ g/1 kg) = 1.95 × 10⁴ g.

Thus, the mass of the dog in grams is 1.95 × 10⁴ g.

1000 grammes make to 1 kilogram (kg) (g).

1 kg = 1000 g

The mass m in kilogram (kg) multiplied by 1000 gives the mass m in grams (g)

m(g) = m(kg) × 1000.

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The value of p from the given equation is 4.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign \(=\\\).

The given equation is \(0.5p-3.45=-1.2\)

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The equation can be solved as follows

\(0.5p-3.45=-1.2\)

\(0.5p= -1.2+3.45\)

\(0.5p= 2.25\)

\(p= 2.25\div0.5\)

\(p= 4.5\)

Therefore, the value of p is 4.5.

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Answer:

100

Step-by-step explanation:

399/100= 3.99

im honestly not sure how to explain it.

Answer:

1/3

Step-by-step explanation:

If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.

\(\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}\)

Theres a 1/3 more chance of tails than rolling 6

The probability of rolling a 6 or rolling a die is 2/3.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

An experiment consists of rolling a die and then flipping a coin.

Probability = Number of desired outcomes / Total outcomes

Probability of rolling a 6 = 1/6

Probability of landing on tails = 1/2

P(A or B) = P(A) + P(B)

Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.

P(A or B) = 1/6 + 1/2 = 4/6 = 2/3

Hence the required probability is 2/3.

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Answer:

60%

Step-by-step explanation:

Answer:

15 ft

Step-by-step explanation:

5:8

?:24

8x3=24    SO    5x3=15

\(4^5\cdot4^7=4^{5+7}=16,777,216\).

Hope this helps.

Answer:

25

Step-by-step explanation:

divide mia's buttons by mila's

225 / 9

=25

Answer:

Step-by-step explanation:

225 ÷ 9 = 25

Mia has 25 times as many buttons as Mila

Answer:

Hexagon

Step-by-step explanation:

Because I a cross section