What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4​

The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:

Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.

Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.

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Rowan should get the ice cream in a cup as the cup holds 26.2 in3 more ice cream than the cone.

First, we need to find the volume of ice cream that the cone holds:

we can use the formula for volume, we get:

Volume = π × r² × h/3

when we put the values in the formula, we get:

Volume = 3.14 × 2.5² × 5/3

solving the problem, we get:

Volume =32.7 inches³

Now we need to find the volume of ice cream that the cup holds,

we use the formula of volume, we get:

Volume = π × r² × h

Diameter = 5 inches ⇒ Radius = 2.5 inches

(since we know that the radius is the exact half of the diameter)

when we put the values in the formula, we get:

Volume = 3.14 × 2.5² × 3

Volume =58.9 inches³

Now that we have both the values, we can easily find the difference:

Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³

The cup holds 26.2 in³ more ice cream than the cone.

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Given :

A building casts a shadow 46 feet long.

At the same time, a 36 foot tall flagpole costs a shadow of 9.2 feet long.

To Find :

The height of the building.

Solution :

Since, all readings are taken in same time.

Ratio of height and shadow remains for all objects.

Let, height of building is H.

So,

\(\dfrac{H}{46}=\dfrac{36}{9.2}\\\\H = \dfrac{36}{9.2}\times 46\\\\H = 180\ feet\)

Therefore, height of the building is 180 feet.

Answer:

x = 1/2

Step-by-step explanation:

4x = 2

Divide each side by 4

4x/4 = 2/4

x = 2/4

Simplify

x = 1/2

Answer:x=1/2

Step-by-step explanation: Divide both sides of the equation by the same term.LAstly simplify 2/4 to 1/2.

Look at pic to see how solved.

Answer:

48 degrees

Step-by-step explanation:

A straight line measures up to 180 degrees so take what we know which is 138 and subtract that from 180 to get your answer 48

Answer:

48

Step-by-step explanation:

Sum of angles On a straight line = 180

Given angle = 132

O, x is the remaining angle that must join 132 to form 180, which is

180-132 = 48 degrees.

Hope this helps

Good luck

The length of arc AB in terms of pi is 16pi.

We have,

To find the length of the arc AB in terms of pi, we can use the formula:

Length of arc = (angle intercepted by arc / 360 degrees) * (circumference of the circle)

Given:

Diameter = 32 (which means the radius is half of the diameter, so the radius is 32/2 = 16)

Angle intercepted by arc AB = 180 degrees

First, we need to find the circumference of the circle using the formula:

Circumference = 2 x pi x radius

Circumference = 2 x pi x 16 = 32 x pi

Now, we can calculate the length of arc AB:

Length of arc AB = (180 / 360) x (32 x pi)

Simplifying:

Length of arc AB = (1/2) x (32 x pi)

Length of arc AB = 16 x pi

Therefore,

The length of arc AB in terms of pi is 16pi.

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Points of discontinuity for the rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4) are x = -1 and x = -4.

A rational function is a function that can be expressed as the ratio of two polynomial functions. In the case of the given rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4), the numerator is a polynomial of degree 3, and the denominator is a polynomial of degree 2.

To find any points of discontinuity for a rational function, we need to determine where the denominator is equal to zero. Division by zero is undefined, so any value of x that makes the denominator equal to zero will be a point of discontinuity for the function.

In this case, we set the denominator (x+1)(x+4) equal to zero and solve for x:

(x+1)(x+4) = 0

This equation is true if either (x+1) = 0 or (x+4) = 0. So we have two solutions:

x+1 = 0 or x+4 = 0

x = -1 or x = -4

These values of x make the denominator of the function equal to zero, which means that the function is undefined at these points. These points are known as vertical asymptotes of the function, since the function approaches infinity as x approaches these points from either side.

It's important to note that the numerator of the function does not affect the points of discontinuity, since it is always defined for any value of x. Therefore, the points of discontinuity only depend on the denominator of the function.

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Answer:

1, 1, sqrt of 2

The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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A cubic close-packed (ccp) unit cell has a coordination number of 12.

A cubic close-packed (ccp) unit cell has an arrangement of atoms where each atom is surrounded by 12 other atoms, resulting in a coordination number of 12.

A cubic close-packed (ccp) unit cell is a type of unit cell that has an arrangement of atoms where each atom is surrounded by 12 other atoms. This arrangement forms a structure with a coordination number of 12, meaning that each atom has 12 other atoms in contact with it. This type of arrangement is very common in many materials, and is often used to describe the structure of metals and other crystalline materials. The atoms in a ccp unit cell are arranged in a regular pattern, with three atoms in each of the eight corners and four atoms in the center of each face of the unit cell.

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Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

Answer:

2+2 = 4

Step-by-step explanation:

Hope this helps.

Answer:

2 + 2 is 4 my guy

Step-by-step explanation:

thx for the points

The required line representing the equation part of the constraint is go through (0, 4) and (7,0).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The line representing the equation 7x1 + 4x2 = 28 is a boundary line that separates the feasible solutions from the infeasible solutions in a linear programming problem.

The line passes through two points, which can be determined by substituting the x1 and x2 values into the equation. By substituting the values (4,0) and (7,0) into the equation, we can see that both points satisfy the constraint.

This means that any point on the line also satisfies the constraint, and any point above or to the right of the line would be infeasible as they would not meet the requirement of the constraint.

Understanding the position and shape of the constraint lines is important in solving linear programming problems and finding the optimal solution.

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The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

.37

Step-by-step explanation:

2.99 divided by 8 = .37375 rounded up to your hundredths is .37

Answer:

If this is talking about 58 - 110 then that would be -52.

The estimated answer 58-110 is -40.

A number system is defined as a system of writing to express numbers.

The given expression is 58-110

Fifty eight minus one hundred ten.

In the given expression the operator used is minus which is subtraction

The result of 58 minus 110 is -52.

58-110=-52

To estimate this, we can round 58 to 60 and 110 to 100,

the estimated answer would be 60 - 100 = -40.

Sixty minus hundred equal to minus forty

Hence, the estimated answer 58-110 is -40.

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The equation that models the number of revolutions over time

is y = 1200x

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

A gear on a machine makes 1200 revolutions in 1 minute

A gear on a machine makes 1200x revolutions in x minutes

y represent the number of revolutions

So y = 1200x is the equation that models the number of revolutions over time

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If x^y = y^x, then  dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]

The given equation x^y = y^x can be rewritten as y = x * (ln y / ln x).

Using implicit differentiation, we get:

dy/dx = [1 * (ln y / ln x) + x * (1/y * (dy/dx) * ln y - 1/x)] / [(ln x)^2 / (ln y)]

Simplifying this expression, we get:

dy/dx = y/x * [(ln y - ln x) / (ln x - ln y * dy/dx)]

Therefore, the derivative dx/dy can be obtained by taking the reciprocal of dy/dx, giving:

dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]

Note that dx/dy may not have a closed-form solution, so we can only express it in terms of x and y.

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The area of the shaded region is the area of the rectangle minus the area of the triangle

Find the coordinates of point E: Since point E lies halfway between sides AB and CD, and halfway between sides AD and BC, we can find its coordinates by taking the average of the coordinates of the opposite vertices. That is, if A = (a, b), B = (c, d), C = (e, f), and D = (g, h), then the coordinates of E are ((a+g)/2, (b+h)/2).

Find the equation of the diagonal BD: The diagonal BD passes through points B and D, so we can find its equation by using the point-slope form: y - d = (h - d)/(g - c) * (x - c).

Find the equation of the line perpendicular to BD passing through E: Since the shaded region is formed by the rectangle and the triangle outside it, we can find the equation of the line perpendicular to BD passing through E to find the height of the triangle. The slope of the line perpendicular to BD is the negative reciprocal of the slope of BD, so it is -(g - c)/(h - d). We can use the point-slope form again to find the equation of the line: y - ((b+h)/2) = -(g-c)/(h-d) * (x - (a+g)/2).

Find the intersection of the two lines: The intersection of the two lines is the point where the height of the triangle intersects the diagonal BD. We can solve the system of equations formed by the two lines to find this point.

Find the area of the triangle: Once we have the height of the triangle and the length of the base (which is the length of diagonal BD), we can use the formula for the area of a triangle: A = (1/2)bh, where b is the length of the base and h is the height.

Find the area of the shaded region: The area of the shaded region is the area of the rectangle minus the area of the triangle.

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Average speed of a body is the ratio of distance traveled by a body in the given time.

Average speed of a body is the ratio of distance traveled by a body in the given time.

Given information-

The given 2-column table with 3 rows is,

Column 1 is labeled time elapsed (hours) with entries-    2,       4,         7.

Column 2 is labeled Distance Run (miles) with entries- 13.5,   27.5, 48.5.

The distance ran by Larry from hour 2 to hour 4 is,

\(d=27.5-13.5\\d=14\)

Total time taken bay Larry  from hour 2 to hour 4 is,

\(t=4-2\\t=2\rm hr\)

Thus the average speed of Larry from hour 2 to hour 4 is,

\(s=\dfrac{d}{t} \\s=\dfrac{14}{2} \\s=7 \rm m/s\)

Hence,  the average speed of Larry from hour 2 to hour 4 is 7 m/s.

The distance ran by Larry from hour 4 to hour 7 is,

\(d=48.5-27.5\\d=21\)

Total time taken bay Larry  from hour 4 to hour 7 is,

\(t=7-4\\t=3\rm hr\)

Thus the average speed of Larry from hour 4 to hour 7 is,

\(s=\dfrac{d}{t} \\s=\dfrac{21}{3} \\s=7 \rm m/s\)

Hence,  the average speed of Larry from hour 4 to hour 7 is 7 m/s.

Hence

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Larry recorded his time as he ran. What was his  average speed from hour 2 to hour 4?

✔ 7 mph

What was his average speed from hour 4 to hour 7?

✔ 7 mph

Did he speed up or slow down?

✔ stayed the same

Based on the description of the graph given, the interpretation of the expression is ; "the rocket attains a height of 90 feets after 2 seconds.

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Answer:

0 (as you already know)

Step-by-step explanation:

First we will simplify both sides of this equation:

5f = -125 + 175 + -35 + -15

Now we are going to Combine Like Terms:

5f = (-125 + 175 + -35 + -15)

5f = 0

Divide both sides by 5

5f / 5 = 0 / 5

F = 0

Hope this helps

\(\text{Mean}=\dfrac{\sum \text{Fx}}{\sum\text{f}} =\dfrac{1+2(3)+3(4)+4(6)+5(5)+6(2)+7(2)+8(1)}{25}\)

\(\text{Mean}=4.08\)

\(\text{Median}=4\)

\(\text{Mode}=4 \ \text{(has the highest frequency)}\)

In the case of a frequency distribution that has a symmetrical frequency curve the empirical relation states that \(\text{mean = median = mode}\).

The number of customers he would have in the seventh week is 37.

The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.

The linear equation that represents the number of customers in the seventh week:

Initial number of customers + [ rate of increase x (number of weeks - 1)]

25 + [2 x (7 - 1)]

25 + (2 x 6)

25 + 12 = 37

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Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

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Answer:

A=statististical

B=non statistical

C=non statistical

Step-by-step explanation:

i did the test and i got it all right, hope this help you!<3

Option D is correct, by definition of congruent segments AE≅EB

From the given figure, CE=ED

EB≅CE

E is the midpoint of AB.

CE=ED from the given

AE≅EB by definition of congruent segments

The midpoint of a segment is a point that divides the segment into two congruent segments.

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