Find the difference in the following expression:

(-4c + 5g) - (3c - 8g)

Answer:

x=36

Step-by-step explanation:

you would take 72 divided by 2 to get your answer

Answer:

Step-by-step explanation:

Ok, let's see how much I can do

So I don't know how to label the angles, but let's just say there are 2 angles at point B. One is already given. 72. Since a line is 180. We can find the other angle by subtraction: 180 - 72 = 108

And we can also tell that both angles at point D are equal as they are both represented by 2x.

Now by the looks of it, Line AC and DE are parallel so angle A and both the angles at point D are equal to each other. So triangle ABD is at least an isosceles triangle.  Now because we know it's an isosceles triangle, we can now find the measure of triangle ABD.

72 + 2x + 2x = 180

72 + 4x = 180

4x = 108

x = 27

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

  dilation by a factor of 1/3 about the origin

Step-by-step explanation:

Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...

  dilation by a factor of 1/3 about the origin

Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

The statements are classified as follows:

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

8 is a low outlier, hence it is a value lower than the mean, meaning that the mean increases if we remove the observation of 8.

The range of a data-set is calculated as the difference between the highest value and the lowest value in the data-set, thus if we remove the low value of 8, the next low value is of 47, meaning that the range decreases.

The ordered data-set is given as follows:

8, 47, 48, 50, 51, 51.

The data-set has an even cardinality of 6, hence the median is calculated as the mean of the two middle elements as follows:

Median = (48 + 50)/2

Median = 49.

Removing 8, the data-set is given as follows:

47, 48, 50, 51, 51.

Hence the median increases, as it will be the middle value of 50.

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Answer:

62.8cubic units

Step-by-step explanation:

volume of a cylinder isπ×radius×radius×height.hope it helps.

Therefore, the volume of the resulting solid is approximately 35728.458 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

Volume of the ball: V_ball = (4/3) * π * (radius)^3

Volume of the hole: V_hole = (4/3) * π * (radius_hole)^3

In this case, the radius of the ball is 14, and the radius of the hole is 4.

Volume of the resulting solid = V_ball - V_hole

= (4/3) * π * (14^3) - (4/3) * π * (4^3)

= (4/3) * π * (14^3 - 4^3)

= (4/3) * π * (2744 - 64)

= (4/3) * π * 2680

≈ 35728.458 cubic units

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Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

10

Step-by-step explanation:

5 * 9 = 45

45 is the sum of all the ages added up

45 - (5 + 7 + 8 + 15) = 10

The columns of an n x n invertible matrix A are linearly independent.

If a matrix A is invertible, it means that it has an inverse matrix A^-1, such that the product of A and A^-1 is the identity matrix I.

AA^-1 = A^-1A = I

Now, let's assume that the columns of A are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that

c1A[:,1] + c2A[:,2] + ... + cnA[:,n] = 0

where A[:,i] represents the i-th column of A.

Multiplying both sides by A^-1, we get

A^-1(c1A[:,1] + c2A[:,2] + ... + cnA[:,n]) = A^-10

Since A^-1A = I, we can simplify the left-hand side to get

c1A^-1A[:,1] + c2A^-1A[:,2] + ... + cnA^-1A[:,n] = 0

c1I[:,1] + c2I[:,2] + ... + cnI[:,n] = 0

c1e1 + c2e2 + ... + cne_n = 0

where I is the identity matrix and ei is the i-th standard basis vector.

Since the ei's are linearly independent, it follows that c1 = c2 = ... = cn = 0. But this contradicts our assumption that the scalars are not all zero, which means that the columns of A cannot be linearly dependent. Therefore, the columns of an n x n invertible matrix A are linearly independent.

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In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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It would take approximately 0.51 years longer for Abigail's money to triple compared to Hunter's money.

To determine how much longer it would take for Abigail's money to triple compared to Hunter's money, we need to calculate the time it takes for each investment to triple.

For Abigail's investment, we can use the continuous compounding formula:

A = P * e^(rt),

where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time.

Abigail's investment needs to triple, so A = 3P. Substituting the given values, we have:

3P = P * e^(rt).

Simplifying the equation, we get:

e^(rt) = 3.

Taking the natural logarithm of both sides, we have:

rt = ln(3).

To find the time t, we divide both sides by r:

t = ln(3) / r.

Now, let's calculate the time it takes for Hunter's investment to triple. For daily compounding, we use the formula:

A = P * (1 + r/n)^(nt),

where n is the number of compounding periods per year.

Using similar steps as before, we have:

3P = P * (1 + r/n)^(nt).

Simplifying, we get:

(1 + r/n)^(nt) = 3.

Taking the natural logarithm, we have:

nt * ln(1 + r/n) = ln(3).

Solving for t, we have:

t = ln(3) / (n * ln(1 + r/n)).

Now we can plug in the values for Abigail and Hunter to calculate their respective times to triple their investments.

For Abigail: r = 4.625% = 0.04625.

t(Abigail) = ln(3) / 0.04625.

For Hunter: r = 4.875% = 0.04875, n = 365 (daily compounding).

t(Hunter) = ln(3) / (365 * ln(1 + 0.04875/365)).

Calculating both values, we find that t(Abigail) ≈ 15.05 years and t(Hunter) ≈ 14.54 years.

To find the difference, we subtract t(Hunter) from t(Abigail):

Difference = t(Abigail) - t(Hunter) ≈ 15.05 - 14.54 ≈ 0.51 years.

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Answer:

  see attached

Step-by-step explanation:

You want the given triangle reflected over the line y = -1/2x +1.

The transformation for reflection over the line y = mx +b is ...

  (x, y) ⇒ (x(1-m²) +y(2m) -2mb, x(2m) +y(m²-1) +2b)/(1+m²)

Using m=-1/2 and b=1, this transformation becomes ...

  (x, y) ⇒ ((3x -4y +4)/5, (-4x -3y +8)/5)

Then for the vertex points, we get ...

  (1, 3) ⇒ ((3·1 -4·3 +4)/5, (-4·1 -3·3 +8)/5) = (-5/5, -5/5) = (-1, -1)

  (1, 8) ⇒ (3·1 -4·8 +4)/5, (-4·1 -3·8 +8)/5) = (-25/5, -20/5) = (-5, -4)

  (6, 3) ⇒ (3·6 -4·3 +4)/5, (-4·6 -3·3 +8)/5) = (10/5, -25/5) = (2, -5)

The line of reflection is the perpendicular bisector of the segments connecting each point with its image. This fact can be used to find the reflection graphically.

The given line has slope -1/2, so a perpendicular line will have slope -1/(-1/2) = 2. A line with slope 2 can be drawn through each vertex point. The reflected point will be the same distance along that line on the other side of the line of reflection. The dashed lines in the attached figure show the idea.

The expanded form of the expressions is 3y + 3x

These are mathematical expressions that are composed of terms, variables, constants and  factors with coefficients,

These expressions are also known to include mathematical or arithmetic operations, such as;

They could also be made up of fractions and decimlals

We have the expression;

3(y + x)

expand the parentheses

3y + 3x

Hence, the expression is 3y + 3x

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Answer:

If you account 0 as your first term then the 6th term of the arithmetic sequence will be 20.

Step-by-step explanation:

Answer:

0.53 is the right answer its not 0.28 because I did the work and I got 0.53 by dividing

Step-by-step explanation:

Answer:

w=10

Step-by-step explanation:

10-2=8

8×5=40

hope this helps

Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.

Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.

In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.

Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.

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The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Michael will take approximately 17.33 hours to deliver as many newspapers as Franklin. We need to write equations based on the delivery made.

To determine the number of hours Michael will take to deliver as many newspapers as Franklin, we need to set up an equation based on their delivery rates. Franklin can deliver 9 newspapers in an hour, while Michael can deliver 12 newspapers in an hour.

Let's assume Michael takes 'h' hours to deliver the same number of newspapers as Franklin. Therefore, Michael will deliver 12h newspapers in 'h' hours, and Franklin will deliver 9 newspapers in 1 hour. We can set up the equation:

12h = 9

To solve for 'h', we divide both sides of the equation by 12:

h = 9 / 12 = 0.75

Since 'h' represents hours, 0.75 hours is equivalent to 0.75 * 60 = 45 minutes.

Therefore, Michael will take approximately 0.75 hours or 45 minutes to deliver as many newspapers as Franklin.

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If admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open, then a total amount of $11368 was collected on this day.

As per the question statement, admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open.

We are required to calculate total amount of money was collected on this day.

To solve this question, we simply have to multiply the admission fee per person, with the number of visitors in that particular day, to obtain our desired answer.

Hence, [$(14 * 812) = $11368] was collected during the 11 hours the fair was open on this day.

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Answer

Explanation

The perimeter of a figure

Answer:

d 3/1 = 12/4

Step-by-step explanation:

3 ft is to 1 yd like 12 ft is to 4 yd

3/1 = 12/4

Answer:

Option D

Step-by-step explanation:

3/1 = 12/4

Convert 12/4 to its simplest form (that is divide the numerator and denominator by 3 ) to get 3/1.

Hope this helps you.

Answer:

See below

Step-by-step explanation:

Problem 1

For the function \(f(x)=a*cos(bx+c)+d\), the period is \(\frac{2\pi}{|b|}\). In the context of this problem, the period is \(\frac{2\pi}{|3\pi|}=\frac{2}{3}\). This means that after every \(\frac{2}{3}\) minutes, the height of the passenger will be the same, which shows they have completed one loop of the Ferris wheel.

Problem 2A

Since the ride took 15 minutes and 1 loop takes \(\frac{2}{3}\) minutes, then the number of loops made during the ride is \(15\div\frac{2}{3}=\frac{45}{2}=22\frac{1}{2}\) loops.

Problem 2B

Plug \(t=15\) into the function to determine the height of the passenger after 15 minutes:

\(h= -82.5*cos(3\pi t)+97.5\)

\(h= -82.5*cos(3\pi(15))+97.5\)

\(h= -82.5*cos(45\pi)+97.5\)

\(h= -82.5*(-1)+97.5\)

\(h=82.5+97.5\)

\(h=180\)

Therefore, the height of the passenger after 15 minutes is 180 feet above the ground.

Problem 3A

Plug \(t=6\) into the function to determine the height of the last passenger after 6 minutes when the power outage occurs:

\(h= -82.5*cos(3\pi t)+97.5\)

\(h= -82.5*cos(3\pi(6))+97.5\)

\(h= -82.5*cos(18\pi)+97.5\)

\(h= -82.5*(1)+97.5\)

\(h=-82.5+97.5\)

\(h=15\)

Therefore, the last passenger is 15 feet above the ground after 6 minutes when the power outage occurs.

Problem 3B

The last passenger to board the ride won't need to wait in order to exit the ride because they are at the lowest point of the ride which is 15 feet above the ground. Therefore, they can get off immediately then.

The income statement presents the revenues, expenses, and net income of a company over a specific period.  The main difference on the income statement between a manufacturer and a merchandiser lies in the items making up the cost of goods sold (COGS).

The income statement presents the revenues, expenses, and net income of a company over a specific period. For a manufacturer, the COGS includes the cost of raw materials, direct labor, and manufacturing overhead. These costs are associated with the production process and transforming raw materials into finished goods. Additionally, the manufacturer's income statement may also include other manufacturing costs, such as depreciation of production equipment.

On the other hand, for a merchandiser, the COGS primarily consists of the cost of acquiring or purchasing the goods that are sold to customers. This typically includes the cost of purchasing inventory from suppliers, freight costs, and any other costs directly associated with obtaining the merchandise for resale. Merchandisers do not have the additional costs related to the production process or manufacturing overhead that manufacturers incur.

Therefore, the key distinction on the income statement between a manufacturer and a merchandiser is the composition of the COGS. Manufacturers include costs associated with producing goods, while merchandisers focus on the costs of acquiring and reselling inventory. Other components of the income statement, such as revenue and selling and administrative expenses, may be similar for both types of businesses.

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Answer:

6

Step-by-step explanation:

To approximate the area under the curve y = x^3 from x = 1 to x = 4 using a right endpoint approximation with 6 subdivisions, we will divide the interval [1, 4] into 6 equal subintervals.

Then, we will calculate the area of each rectangle by using the right endpoint of each subinterval as the height of the rectangle and the width of each subinterval as the base. Finally, we will sum up the areas of all the rectangles to get an approximation of the total area under the curve.

Since we are using a right endpoint approximation with 6 subdivisions, the width of each subinterval will be (4 - 1) / 6 = 1/2. The right endpoints of the subintervals will be x = 1 + (1/2), 1 + 2(1/2), 1 + 3(1/2), and so on, up to x = 4.

For each subinterval, we evaluate the function y = x^3 at the right endpoint and multiply it by the width of the subinterval to calculate the area of the rectangle. Then, we sum up the areas of all the rectangles to get the approximation of the total area under the curve.

Let's perform the calculations to obtain the numerical approximation of the area using this method.

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Answer:

ur welcome

Step-by-step explanation:

this is what i think

please mark brainiest

Answer:37

Step-by-step explanation:

10+(9*5)+4-22