The prime factorization of 48 is

Answer:

C. 6.75n = 114.75

Step-by-step explanation:

The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.

Answer: The answer is A.

It is A because you have to divide the total by the cost to find out the amount of magazines purchased.

The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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Transformation involves changing the position of a function.

The path of the ball from y = x^2 is obtained by

The function is given as:

\(\mathbf{y=-16x^2+32x+3}\)

Factor out -16

\(\mathbf{y=-16(x^2-2x)+3}\)

-------------------------------------------------------------------------------

Take the coefficient of x

\(\mathbf{k = -2}\)

Divide by 2

\(\mathbf{k/2 = -1}\)

Take it square

\(\mathbf{(k/2)^2 = 1}\)

-------------------------------------------------------------------------------

Add and subtract the 1 in the bracket of \(\mathbf{y=-16(x^2-2x)+3}\)

\(\mathbf{y=-16(x^2-2x+ 1 - 1)+3}\)

Open bracket

\(\mathbf{y=-16(x^2-2x+ 1) + 16+3}\)

\(\mathbf{y=-16(x^2-2x+ 1) + 19}\)

Express as squares

\(\mathbf{y=-16(x- 1)^2 + 19}\)

The above means that:

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Answer:

444.5

Step-by-step explanation:

Multiply the amount of money being exchanged to the exchange rate, in which is $350 to $1.27. Multiply them and you will get your answer.

Answer:

$444.50

Step-by-step explanation:

This is the ratio from American currency to Canadian currency

The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, and right angled.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

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Answer:

quadrilaterals:))))))))))))

Step-by-step explanation:

hope it helped:))))))))))

Answer:

Quadrilaterals

Step-by-step explanation:

All trapezoids have 4 sides, quadtrilaterals are 4-sided polygons.

Hope this helped :)

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

B. The rate of change of the cost of the taxi ride is $3.00 per minute.

Step-by-step explanation:

The slope is 3 so it is $3 per minute (x) and $2 is the flag down cost.

Answer:

Length of first leg = 1.4feet

Hypotenuse = 4.2feet

Explanation:

Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.

Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.

From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.

Also the other leg is four feet i.e c= 4

Substituting this values into the Pythagoras formula;

a²=b²+c²

(3b)² = b²+4²

9b² = b²+16

9b²-b² = 16

8b² = 16

b² = 16/8

b² = 2

b = √2

b = 1.4

Since a = 3b

a = 3(1.4)

a = 4.2

Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.

The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.

Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

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Answer:

(8, 0) is the x-intercept

(0, 2) is the y-intercept

Step-by-step explanation:

The y-intercept = 2 since the equation is in slope-intercept form.

The x-intercept occurs when y = 0

So,   0 = -1/4x + 2

        0 = -x + 8

         x = 8

(8, 0) is the x-intercept

(0, 2) is the y-intercept

The equation that represents the same relationship is D. 3x−4y=2

It should be noted that the equation of the line in slope-intercept form is:

y = (3/4)x - 1/2

Multiplying both sides of this equation by 4 to eliminate the fraction, we get:

4y = 3x - 2

Rearranging this equation to the standard form, we get:

3x - 4y = 2

Therefore, the answer is D. 3x - 4y = 2.

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A basketball player who has an 80% free throw shooting percentage is asked to continue shooting free throws until she misses. The number of free-throw attempts made by the player is recorded.

When the player is asked to shoot free throws until she misses, it implies that the player will continue shooting until she fails to make a basket. Each shot is an independent event, and the probability of missing a single free throw is 0.2 (1 - 0.8).

Since the player continues shooting until she misses, the number of free-throw attempts made by the player can vary. It could be just one attempt if she misses the first shot, or it could be several attempts if she makes multiple shots before missing. The number of free-throw attempts made by the player depends on chance, as it follows a geometric distribution with a success probability of 0.8.

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Answer:

B

Step-by-step explanation:

Perimeter is the sum of all the lengths of its sides.

Perimeter of the figure

= 9x +8x -2 +17x -6 +5x +1

= 9x +8x +17x +5x -2 -6 +1

= 39x -7

Thus, the correct answer is option B.

Answer: 5 replied

Step-by-step explanation:

If 1/4 (also 10/40, just simplified) is 10 people then 1/8 will be half of 1/4. 10 divided by 2 its 5, therefore, 5 people replied. Please correct me if I'm wrong:)

Answer:

he bought 60 stamps

Step-by-step explanation:

6*5=30

30*2=60

Answer:

27

Step-by-step explanation:

45/5=9

9*3=27

Answer: 27

Step-by-step explanation:

45/5=9

9x3=27

The probability that the sample mean commute distance is greater than 14 miles is 0.2172.

To solve this, we can use the Central Limit Theorem, which states that the distribution of the sample mean will be approximately normal as the sample size increases, regardless of the shape of the population distribution.

In this case, the sample size is 70, which is large enough to ensure that the distribution of the sample mean is approximately normal.

The mean of the sample mean is equal to the population mean, which is 15 miles.

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size, which is 9 / sqrt(70) = 1.75 miles.

The probability that the sample mean is greater than 14 miles is equal to the area under the normal curve to the right of 14.

This area can be found using a z-table.

The z-score for a sample mean of 14 miles is 0.794.

The area under the normal curve to the right of 0.794 is 0.2172.

Therefore, the probability that the sample mean commute distance is greater than 14 miles is 0.2172.

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Answer:

10.82

Step-by-step explanation:

6^2+9^2=x

36+81=117

Square root of 117 is 10.82

The value of the given side x  in the given circle is 10.82.

We have given that,

If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

\(side^2+side^2=hypotenous^2\)

6^2+9^2=x^2

36+81=117

117=x^2

taking square root on both sides.

The Square root of 117 is 10.82.

Therefore the square root of the 117 is 10.82.

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Answer:

7.2315656

Step-by-step explanation:

Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.

18 × (60/18) = 60

We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.

2.5 : 18

Now, we have to multiply 60/18 on both sides!

2.5 × (60/18) : 18 × (60/18) = 60

2.5 × (60/18) = 8 and 1/3 miles

The partial derivatives of ∂∂ and ∂∂ using implicit differentiation of (TU-V)2ln(W-UV)=ln(7) at (T,U,V,W)= (2,3,7,28) are:

∂f/∂T = -8/9

∂f/∂U = -10/27

∂f/∂V = 1/27

∂f/∂W = -8/81.

Let the given function be f(T,U,V,W) = (TU - V)²ln(W - UV) - ln(7).

Using the chain rule, we obtain the following expressions:

∂f/∂T = [2(TU - V)

ln(W - UV) + (TU - V)² / (W - UV) (-U)] / (TU - V)²

∂f/∂U = [2(TU - V)

ln(W - UV) + (TU - V)² / (W - UV) (-T)] / (TU - V)²

∂f/∂V = [2(TU - V)ln(W - UV) - (TU - V)²] / (TU - V)²

∂f/∂W = [2(TU - V)ln(W - UV) + (TU - V)² / (W - UV) (-U)] / (W - UV)at (T,U,V,W)

= (2,3,7,28),

we have:

∂f/∂T = -8/9

∂f/∂U = -10/27

∂f/∂V = 1/27

∂f/∂W = -8/81

The partial derivatives of ∂∂ and ∂∂ using implicit differentiation of (TU-V)2ln(W-UV)=ln(7) at (T,U,V,W)= (2,3,7,28) are:

∂f/∂T = -8/9

∂f/∂U = -10/27

∂f/∂V = 1/27

∂f/∂W = -8/81.

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To prove that f is one-to-one function, it must be proven that f(x1)=f(x2) and x1=x2.

What is a one to one function?

The mapping of two sets is essentially what a one to one function refers to. When every element in a function's range and domain match exactly one another, the function is said to be one-to-one.

The one-to-one function, also known as an injective function, is one of the many different types of functions.

A function that transfers different components of its domain to different elements of its codomain is known as a one-to-one function.

For example, a function  f:A→B  is said to be one-to-one if -

f(x1)=f(x2)⇒x1=x2

for all elements x1,x2∈A.

To prove  f:A→B  is one-to-one -

Consider the fact that f(x1)=f(x2).  

Then it must be true that x1=x2.

Therefore, it is now understood that f is one-to-one by definition if f(x1)=f(x2) and x1=x2.

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To determine how many fewer video games John has than Alex, we need to find the difference between the number of video games each person has. John has 8 fewer video games than Alex.

John has 8 fewer video games than Alex if they have 21 games altogether. Alex has 13 video games, and together they have 21 games, so we can subtract 13 from 21 to find the number of games John has.

21 - 13 = 8

Therefore, John has 8 fewer video games than Alex.

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Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \(\pi r^2h\), where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

Step 2: Simplify.

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Step-by-step explanation:

To find the z-value corresponding to a significance level of 0.1388 in a two-tailed test, we need to find the critical values for the test.

Assuming a normal distribution, we can use a standard normal distribution table or calculator to find the critical values.

The significance level for a two-tailed test is split equally between both tails. Therefore, we need to find the z-value that corresponds to a tail area of (1 - 0.1388)/2 = 0.4306.

Using a standard normal distribution table or calculator, we can find that the z-value that corresponds to a tail area of 0.4306 is approximately 1.761.

Therefore, the z-value corresponding to a significance level of 0.1388 in a two-tailed test is +/- 1.761.

A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling

A grocer makes a display of cans in which there are 10 rows.

The top row has one can and each lower row has two more cans than the row above it.

We can write it as sequence:

1, 3, 5, 7, . . .

We can observe that it's an arithmetic sequence: 1, 3, 5, 7, . . . , 2n-1

We know that the formula for the sum of n-terms of arithmetic sequence:

S(n) = (n/2)(1 + 2n-1)

Here, Sn = 100

So, (n/2)[1 + 2n-1] = 100

n(1 + 2n + 1)

n(2n) = 200

2n^2 = 200

n^2 = 100

n = 10

Hence, the number of rows = 10

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