Will someone please help me with 13 and 14 please?

Answer:

Z

Step-by-step explanation:

The height needs to start at 96

=======================================================

Explanation:

Use a calculator or long division to find that 47/3 = 15.667

Erase the decimal portion to get 15

Then note how 15*3 = 45, which is 2 short of 47.

This means 47/3 = 15 remainder 2.

The remainder 2 portion forms the numerator of the fractional part of the mixed number.

The improper fraction 47/3 converts to the mixed number 15 & 2/3

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

Here's another way to do the problem

47/3 = (45+2)/3

47/3 = 45/3 + 2/3

47/3 = 15 + 2/3

47/3 = 15 & 2/3

The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.

The volume of the sphere is calculated as:

= 4/3 πr³

where r = radius

The volume of sphere A will be:

= 4/3 πr³

= 4/3 × π × 4³

= 85.3π

The volume for sphere B will be:

= 4/3 πr³

= 4/3 × π × (6/2)³

= 4/3 × π × 3³

= 36π

The volume for C is given as 64π.

The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6

= 4/3 πr³

= 4/3 × π × 6³

= 288π

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The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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The area of the figure can be obtained by splitting the figure into smaller components

The area of the irregular figure = Area of A + Area of B + Area of C

Area of A = L X B = 12 x 7 = 84 sq meters

Area of B = L X B = 5 X 8 = 40 sq meters

Area of C = L X B = 5 x 8 = 40 sq meters

Total area = 84 + 40 + 40 = 164 sq meters

The correct option is C, Prices have increased about 16-fold over the last 80 years, assuming an average annual U.S. inflation rate of 4 percent.

The inflation rate is a measure of the rate at which the general level of prices for goods and services is rising over a period of time, usually a year. It is typically expressed as a percentage increase or decrease in the average price level of a basket of goods and services over a certain period of time.

Here, the price index is a weighted average of the prices of a specific set of goods and services. The inflation rate is a key indicator of the overall health of an economy, as high inflation can erode purchasing power and reduce the standard of living for individuals, while low or negative inflation can lead to economic stagnation or deflation. Governments and central banks closely monitor inflation rates to ensure that they remain within a targeted range, typically around 2-3% per year, through the use of monetary and fiscal policies.

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Answer:

Step-by-step explanation:

Use distributive property: a*(b +c) =a*b + a*c

-3( 6 - 1.5n) = (-3)*6 - (-3)*1.5n

                  = -18 + 4.5n

Answer:

-18 + 4.5n

Step-by-step explanation:

-3(6 - 1.5n) = -3(6) -3(-1.5n)                  Distributive

                  = -18 + 4.5n                       Multiplication. Remember (-) (-) = +

Answer:

y=7/4 x=27/8

Step-by-step explanation:

alderba

Answer:

tama yung nasa unahang sagot matalino sya

\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

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Answer:

5.8 is your answer mate

Step-by-step explanation:

hello

Multiply the price per hour by number of hours and then add the fee for the parts.

The answer would be 40h + 225

The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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Answer:

D

Step-by-step explanation:

"Later during his trial, the prosecution used his confession as evidence to convict   him." The word "convict" in the paragraph is used to find guilty of crime because used to CONFESSION :) enjoy

Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.

In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.

The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.

With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.

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Given,

1 inch = 2 feet

3 inches = ? feet

3 inches = (2 × 3) feet

3 inches = 6 feet

=》3 inches in the scale drawing is 2 feet in real life.

_______

Hope it helps ⚜

Answer:

yeah it's b :)

Step-by-step explanation:

good job!

Using the formula of volume of cylinder, the volume of the jar is 1130.4 cube inches.

In the given question we have to find the volume of the jar.

From the question,

A cylindrical jar has a radius of 6 inches

So r=6 inches

A cylindrical jar has a height of 10 inches

So h=10 inches

The jar is filled with marbles that have a volume of 20 cube inches.

As we know that the volume of cylinder is

V=πr^2h

where V= volume of cylinder

r = radius

h= height

π=3.14

Putting the value

V=3.14*(6)^2*10

V=3.14*36*10

V=1130.4 cube inches

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Answer:

see explanation

Step-by-step explanation:

(1)

y = - x + 4 ( add x to both sides )

x + y = 4

with A = 1, B = 1, C = 4

(2)

y = 5x + 7 ( subtract y from both sides )

0 = 5x - y + 7 ( subtract 7 from both sides )

- 7 = 5x - y , that is

5x - y = - 7

with A = 5, B = - 1, C = - 7

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

(1)

2x + y = 9 ( subtract 2x from both sides )

y = - 2x + 9

with m = - 2, c = 9

(2)

5x + 2y = 7 ( subtract 5x from both sides )

2y = - 5x + 7 ( divide terms by 2 )

y = - \(\frac{5}{2}\) x + \(\frac{7}{2}\)

with m = - \(\frac{5}{2}\) , c = \(\frac{7}{2}\)

Answer:

24°

Step-by-step explanation:

Check file attatched! :D

(sorry for sloppy/etc writing haha, it's hard with a mouse lol)

\(\\ \sf\longmapsto <CBD=<ABD=96°\)

Now

\(\\ \sf\longmapsto m<EBD=\dfrac{1}{2}m<CBD\)

\(\\ \sf\longmapsto m<EBD=\dfrac{96}{2}\)

\(\\ \sf\longmapsto m<EBD=48\)

The unit binomial vector B can be computed using the definitions of the unit tangent vector T and the principal unit normal vector N. The unit binomial vector B is perpendicular to both T and N and completes the orthogonal triad.

Given that T = (1/√(t^2+1), 1/√(t^2+1)) and N = (1/√(t^2+1), -1/√(t^2+1)), we can compute B as follows:

B = T × N

The cross product of T and N gives us the unit binomial vector B. Since T and N are in the plane, their cross product simplifies to:

B = (T_ y * N_ z - T_ z * N_ y, T_ z * N_ x - T_ x * N_ z , T_ x * N_ y  - T_ y * N_ x)

Substituting the given values, we have:

B = (1/√(t^2+1) * (-1/√(t^2+1)) - (1/√(t^2+1)) * (1/√(t^2+1)), (1/√(t^2+1)) * (1/√(t^2+1)) - 1/√(t^2+1) * 1/√(t^2+1))

Simplifying further:

B = (0, 0)

Therefore, the unit binomial vector B is (0, 0).

In this context, the parameterized curve r(t) represents a path in two-dimensional space. The unit tangent vector T indicates the direction of the curve at any given point and is tangent to the curve. The principal unit normal vector N is perpendicular to T and points towards the center of curvature of the curve. These vectors T and N form an orthogonal basis in the plane.

To find the unit binomial vector B, we use the cross product of T and N. The cross product is a mathematical operation that yields a vector that is perpendicular to both input vectors. In this case, B is the vector perpendicular to both T and N, completing the orthogonal triad.

By substituting the given values of T and N into the cross product formula, we calculate B. However, after the calculations, we find that the resulting B vector is (0, 0). This means that the unit binomial vector is a zero vector, indicating that the curve is planar and does not have any torsion.

Torsion, denoted by the symbol τ (tau), measures the amount of twisting or "twirl" that a curve undergoes in three-dimensional space. Since B is a zero vector, it implies that the curve lies entirely in a plane and does not exhibit torsion. Torsion becomes relevant when dealing with curves in three-dimensional space that are not planar.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The following statements,

(a) (i) False, (ii) False

(b)  -330

(c) 50. The justifications are as follows.

a) (i) If f(x) > 7 for all x ER,

then , f(x) dx > 42.

The given statement is not true.

Justification:

If f(x) is greater than 7 for all x, then the area under the curve between any two points will be greater than the area of the rectangle with height 7 and width equal to the difference between these points.

Then, If x_0 and x_1 are two points with x_0 42 for all possible intervals, only for intervals of the form

[a,b]

where

b-a=6.

(ii) If (x) dx > 42,

then f(T) > 7 for all r € (-3,3].

This statement is also false.

Justification:

If the integral of f(x) over (-3,3] is greater than 42,

it is possible that f(x)<7 for some x.

For example, consider the function

f(x)=3 over [-3,0]

and

f(x)=8 over (0,3].

Then, the integral of f(x) over (-3,3] is

9+12=21,

which is greater than 42, but

f(0)=3

which is not greater than 7.

b) Sof(t) dx = 21

Sof(t) dx = 21 can be written as

S[2f(t)] dt = 42 [Using integration by substitution]

2f(+5) d.r = (1/2)S[-10f(t)] dt

= (1/2)[(-10)(50)+(-10)(16)]

= -330

c) Suppose

f: R + R

is even,

S-90

f(x) dx = 50

and ,

f(x) dx = 16.

Find

ſº f(t) dr. 2

= -10

= 10

First, let's try to determine what is meant by

2 = -10 = 10.

If we let A be the area under the curve of f(t) over the interval [-10,10], then we are told that

A = 2(50)

and

A = 2(16).

Therefore, we have:

2(50) =

2(16)A

= 50

Therefore, the area under the curve of f(t) over [-10,10] is 50.

Since f(t) is even, we know that the area under the curve over [-10,0] is the same as the area under the curve over [0,10].

Therefore, the area under the curve over [0,10] is 25.

We can now write:

ſº f(t) dr = 2ſº 10

f(t) dt = 2(25)

= 50

answer:

(a) (i) False, (ii) False

(b)  -330(c) 50

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

An important measure of location for categorical data is the mode.

While the mean and median can only be determined for numeric data, the mode can be used to describe categorical variables. The mode's principal benefit as a gauge of central tendency is this. When continuous or discrete variables are expressed as intervals, it is also helpful.

The mode represents the value that occurs most often in a dataset.

A dataset can have no mode (if no value repeats), one mode, or multiple modes.

A set of data values' mode is the value that appears the most frequently. The value x (i.e., X = x) at which the probability mass function takes its maximum value is known as the mode if X is a discrete random variable. In other words, it is the value that will be sampled most frequently.

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Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

A matrix with m rows and m columns is required in order to define a mapping from into by the rule t(x)ax, where m is a positive integer.

A matrix, a, is necessary in order to define a mapping from into by the rule t(x)ax.

Let's have a look at how many rows and columns are required to define this mapping.

In order to define a mapping from into by the rule t(x)ax, a should be a square matrix with the same number of rows and columns.

Therefore, a matrix with m rows and m columns is required in order to define a mapping from into by the rule t(x)ax, where m is a positive integer.

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Answer:

The altitude is 33 thousand feet at the given temperature

Step-by-step explanation:

We firstly would need to write out the rule.

We can do this by by doubling h, subtracting 15 and multiply the result by -1

Kindly note that h is in thousands of feet

That would be ;

T = (2 * h - 15) * -1

T = -1(2h - 15)

T = -2h + 15

T = 15 - 2h

So for the altitude in feet at a temperature of - 51 degrees Fahrenheit

We simply substitute the value of -51 for the temperature

So we have;

-51 = 15 - 2h

2h = 15 + 51

2h = 66

h = 66/2

h = 33 thousand feet