What is an equivalent expression for 27+3x

Answers:

(12, 7)

(20, 11)

(32, 17)

There are infinitely many possible answers.

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

Explanation:

The equation given to us is the same as y = 0.5x+1 because 1/2 = 0.5

If we replace x with even numbers, then we'll get whole number outputs for y.

Example: if x = 12, then y = 0.5x+1 = 0.5*12+1 = 7

This leads to (12,7) as one solution to this equation. A solution is a point that is on the line. Use graphing software like Desmos or GeoGebra to confirm.

Another example: if x = 20, then y  = 0.5x+1 = 0.5*20+1 = 11. Therefore, another solution point is (20, 11)

Final example: If x = 32, then y = 0.5x+1 = 0.5*32+1 = 17. This gives the point (32,17)

There are infinitely many possible answers since we can replace x with infinitely many real numbers.

To calculate the arc length of a circle, you need to use the formula: arc length = (central angle in radians) x (radius)

where the central angle is measured in radians and the radius is the distance from the center of the circle to the edge. To use this formula, first convert the central angle from degrees to radians by multiplying it by π/180. Then, multiply the result by the radius to find the arc length. For example, if you have a circle with a radius of 5 units and a central angle of 45 degrees, you can calculate the arc length as follows: Convert the central angle to radians: 45 x π/180 = 0.7854 radians. Multiply the central angle in radians by the radius: 0.7854 x 5 = 3.927 unit. Therefore, the arc length of a circle with a radius of 5 units and a central angle of 45 degrees is 3.927 units.

To learn more about arc length click here

brainly.com/question/29141691

#SPJ4

Properties of determinants are Reflection Property, Reliable scales Property, Scalar Multiple Property, Switching Property and All-zero Property.

1. Reflection Property: The determinant remains unchanged when its columns turn into rows and vice versa. The reflection property is what is used to describe this.

2. If every element in a row (or column) is zero, the determinant is zero, according to the all-zero property.

3. Reliable scales (Repetition) Property: If every element in a row or column is proportional to or identical to every element in another row, the determinant is zero (or column).

4. When any two of the determinant's rows (or columns) are exchanged, the sign of the determinant changes.

5. Scalar Multiple Property: If all of a determinant's components in a row (or column) are multiplied by a non-zero constant, the determinant is multiplied by that constant.

6. Factor Property: If a determinant Δ becomes zero when we put x = α, then (x – α) is a factor of Δ.

Hence this is all about determinants problems.

Learn more about Determinants problems:

https://brainly.com/question/30576580

#SPJ4

The solution to the equations have the coordinates of (-6.61, 9.91) and (0.61, -0.91)

From the question, we have the following parameters that can be used in our computation:

f(x) = − ³/2 x and g(x) = (½)² – 1

Express the equation properly

So, we have

f(x) = -3/2x

g(x) = (1/2x)^2 - 1

Next, we make a plot of the system to determine the solution

The point of intersection in the plot represent the solution to the equations

In this case, the point of intersection has a coordinate of (-6.61, 9.91) and (0.61, -0.91)

Hence, the solution is (-6.61, 9.91) and (0.61, -0.91)

Read more about equation at

https://brainly.com/question/2972832

#SPJ1

The system of equations can be written as:-

10x + 4y = 42

6x + 8y = 14

A system of equations, also known as a set of simultaneous equations or an equation system, is a finite set of equations for which we sought common solutions in mathematics. A system of equations can be classified in the same way that a single equation can.

Given that in an online quiz, positive points are awarded for a correct answer, and negative points are awarded for an incorrect answer. Elena answers 10 questions correctly and 4 incorrectly and scores 42 points. Kiran answers 6 questions correctly and 8 incorrectly and scores 14 points.

The system of equations can be written as:-

10x + 4y = 42

6x + 8y = 14

To know more about the system of equations follow

https://brainly.com/question/13729904

#SPJ1

The percentage error made by the person is 25%.

To get the percentage error, multiply the relative error by 100%. In other words, first, calculate the difference between the true value and the measured value. Then, divide the obtained difference by the true value. Then take the absolute value of the obtained result and multiply it by 100%.

The measured value is 4 feet.

The true value is 3.2 feet.

So, the difference between the true value and the measured value is (4 feet - 3.2 feet), that is, 0.8 feet.

Now, divide the obtained difference by the true value.

(0.8 feet)/(3.2 feet) = 1/4

= 0.25

To get the percentage error, take the absolute value of the obtained result and multiply it by 100%.

|0.25|×100% = 0.25×100%

= 25%

Therefore, the obtained answer is 25%.

To learn more about the percentage error visit this link

https://brainly.com/question/17880579

#SPJ9

Answer:

The total cost of putting on the play is $500 for theater rental + $500 for actors + $750 for set decorations and costumes = $1750.

To reach the break-even point, the revenue from ticket sales needs to equal the total cost, so $1750 = $25 x (number of tickets sold).

Solving for the number of tickets sold, we can divide both sides by $25: $1750 / $25 = (number of tickets sold).

This gives us: 70 = number of tickets sold.

Therefore, Mr. Curry needs to sell 70 tickets to reach the break-even point.

Step-by-step explanation:

Answer: The graph of y = 3/4 is a horizontal line with y-intercept at 3/4. When this graph is translated, its y-intercept changes, while its slope remains the same.

Since the new graph has asymptotes at x = -5 and y = 14, the new equation must be of the form y = m(x + 5) + 14, where m is the slope of the original line, which is 3/4. Substituting the values, we get:

y = (3/4)(x + 5) + 14

So the equation of the translated graph is y = (3/4)(x + 5) + 14.

Step-by-step explanation:

The limit of (3x - 3)^(5/2) as x approaches 4, [tex]\lim_{x \to } _4[/tex] (3x - 3)^(5/2) is 243.

The limit of a function as x approaches a certain value can be thought of as the value that the function approaches as x gets arbitrarily close to that value.

To find the limit of (3x - 3)^(5/2) as x approaches 4, we need to evaluate the expression for values of x that are close to 4 and see what the result approaches.

First, let's substitute 4 for x in the expression:

[tex]\lim_{x \to } _4[/tex] (3x - 3)^(5/2) = (3*4 - 3)^(5/2)

                                = (9)^(5/2)

                                = (√9)⁵

                                = 3⁵

                               = 243

Learn more about limit of functions on:

https://brainly.com/question/10434858

#SPJ1

The required paper over a total of 6 mini muffins of cylindrical shape is (A) 103 5/7 in².

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

So, the cylinder formula:

= 2πrh+2πr²

Now, insert values as follows:

= 2πrh+2πr²

= 2π1*1.75+2π1²

= 17.27 inches

Paper to wrap 6 muffins:

= 17.27*6

= 103.62

Which is close to option (A)

Therefore, the required paper over a total of 6 mini muffins of cylindrical shape is (A) 103 5/7 in².

Know more about a cylinder here:

https://brainly.com/question/23935577

#SPJ1

Complete question:

A bakery makes cylindrical mini muffins that measure 2 inches in diameter and 1 and three-fourths inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7.

A. 103 and 5 over 7 in2

B. 84 and 6 over 7 in2

C. 66 and 1 over 7 in2

D. 17 and 2 over 7 in2

Answer:

(A) 103 5/7 in².

Step-by-step explanation:

PLEASE THANK AND RATE 5 STARS

Answer:

yes

Step-by-step explanation:

if i did the math right marcy should have enough

The given triangles are similar by SSS theorem

The given figures are similar triangles with 3 sides and angles. There are several ways triangles can be proved to be similar such as the AAS, SSS, SAS etc theorems.

For the given triangles, if the ratio of their similar sides is equivalent  to the same constant, then the triangles are similar.

AC/HF = AB/HG = CB/GF = k

84/14 = 72/12 = 48/8

84/14 = 6

72/12 = 6

48/8 = 6

Since the ratios are all equal, hence the triangles are similar

learn more on similar triangles here: https://brainly.com/question/27996834

#SPJ1

Answer:

23736 x 2858

= 67837488

Step-by-step explanation:

You're welcome.

Answer:

67837488

Step-by-step explanation:

24 X 3 X 23 X 43 X 1429

Answer:

417.6 in sq

Step-by-step explanation:

9 x 4 x 11.6 = 417.6

The solution is, The population would reach 111 million in next 7 years

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given that,

The initial population of Mexico was 100 million

The growth rate of the population is 1.53 %per year

Then the future population of Mexico is given by

P = P_0(1+r)^t

Where P = future population after t years

P_0= initial population

t = time period in years

Substituting the given vales in above equation we get

(1+ 0.0153)^t = 1.11

Taking log on both sides we get

t* log (1.0153) = log(1.11)

solving we get,

t = 6.87

≈ 7 years

The population would reach 111 million in next 7 years.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ1

Answer: 16.8 miles

Step-by-step explanation:

Multiply 2.8 miles by 6 to find the number of miles jogged after 6 days.

Answer:

16.8 miles!

Step-by-step explanation:

The height of the cylindrical package is 6 inches.

The new volume of the package is 88.26 cubic inches.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

Part A:

The formula for the volume of a cylinder is V = Bh, where B is the area of the base of the cylinder and h is its height.

For a cylinder with radius r and height h, the base area B is given by

B = πr².

Substituting the given values, we have:

V = Bh

87.92 = π(2²)h

h = 87.92 / (4π)

h ≈ 5.57

Rounding to the nearest inch, the height of the cylindrical package is 6 inches.

Part B:

If the company doubles the height of the cylinder while keeping the radius the same, the new height will be 2h = 2(5.57) = 11.14 inches.

The new volume can be calculated using the same formula:

V = Bh

V = π(2²)(11.14)

V ≈ 88.26 cubic inches

Rounding to the nearest hundredth, the new volume of the package is 88.26 cubic inches.

Thus,

The height of the cylindrical package is 6 inches.

The new volume of the package is 88.26 cubic inches.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

Answer:

B

Step-by-step explanation:

Using the formula for compound interest:

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

where:

A = final amount

P = principal (starting amount)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time (in years)

We can plug in the given values:

P = $1,500

r = 0.0825 (8.25% expressed as a decimal)

n = 1 (compounded annually)

t = 2

A = $1,500(1 + 0.0825/1)^(1*2)

A = $1,500(1.0825)^2

A = $1,757.71

Therefore, the total balance after 2 years will be $1,757.71. Answer choice B is correct.

IQR =  16.5

The range = 31

Mean absolute deviation = 9.5

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data points. to find the median first arrange the data points in ascending order.

Given:

A data set:

15, 22, 16, 13, 14, 20, 40, 44.

The lower half of median Q1 = (14 + 15)/2 = 14.5

The upper half of median Q3 = (40 + 22)/2 = 31

So IQR = Q3 - Q1 = 31 - 14.5 = 16.5

The range = 44 - 13 = 31

Mean absolute deviation = 9.5

Therefore, MAD = 9.5.

To learn more about the median;

https://brainly.com/question/28060453

#SPJ1

d)  whenther there the limit is going to infinity like that

take the large term on the top and the largest one on the bottom

so;

4x^5/12x^2 =

basically if you continued to plug it in it would give you

4x^5/12x^2

eventually 12x^2 would = 24 because you would get 12x^2 to 24x^1, take the dervative = 24

for the top it would go from 4x^5; 20x^4; 80x^3

then you would have 80x^3/24

plug in infinity for x

infinity/24

An alpha value of 0.05 means that there is a 5% chance of incorrectly rejecting the null hypothesis.

In statistics, "alpha" is used to represent the significance level in a hypothesis test. The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

In other words, if the p-value in a hypothesis test is less than or equal to 0.05, we can reject the null hypothesis and conclude that there is a statistically significant difference between the groups or variables being tested.

An alpha value of 0.05 is commonly used in research studies, but other values such as 0.01 or 0.10 may also be used depending on the desired level of significance.

To learn more about alpha value refer here

https://brainly.com/question/30218842#
#SPJ11

To write 9 in Roman Numerals, you would use the symbols "IX".

The symbol "I" represents the number 1 and the symbol "X" represents the number 10. When a smaller symbol is placed before a larger symbol, it means that the smaller symbol is subtracted from the larger symbol.

In this case, "I" is placed before "X", so it is subtracted from 10, giving us the value of 9.

Here is a step-by-step explanation:

1. Identify the symbols for 1 and 10: "I" and "X"
2. Place the smaller symbol before the larger symbol: "IX"
3. Subtract the smaller symbol from the larger symbol: 10 - 1 = 9
4. The result is the value of the Roman Numeral: "IX" = 9

Therefore, the Roman Numeral for 9 is "IX".

To know more about Roman Numerals click below:

https://brainly.com/question/23283307#

#SPJ11

Answer:

= - 7x - 25.

Step-by-step explanation:

[tex] \frac{ - 1}{2} (14x \ + 50) \\ \\ = - 0.5(14x + 50) \\ \\ = - 7x + - 25 \\ = - 7x - 25[/tex]

The equation for g(x) by the given data is g(x) = (-1/4)(x^2).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The function f(x)=x^2

Now,

Since the function g is a scaled version of f(x) = x^2, we can write:

g(x) = a(x^2)

where 'a' is the scaling factor.

To find the value of 'a', we can use the given point on the graph of g:

g(2) = -1

Substituting x = 2 and g(x) = -1 in the above equation, we get:

-1 = a(2^2)

-1 = 4a

a = -1/4

Therefore, the equation for g(x) will be g(x) = (-1/4)(x^2).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

The distance is decreasing at a rate of 1028.30 miles/hour.

An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

Plane X: The first plane is due west of you, or at x = -280

traveling towards you at 560 mph

Plane Y: The second plane is due south of you, or at y = -450

traveling towards you at 900 mph.

D = Distance between the two planes.

D = √( x² + y² )

d/dt [ D ] = d/dt [ √( x² + y² ) ]

dD/dt = 1 / 2√( x² + y² ) (2XX' + 2YY')

dD/ dt = 1/2 √(-280)² + (-450)² (2 (-280)(560) + 2(-450)(900)

dD/ dt = 1/2 √(-280)² + (-450)² (2 (-280)(560) + 2(-450)(900))

dD/ dt = 1/ 530 (-140,000 - 405, 000)

dD/ dt = -1028.30

Thus, The distance is decreasing at a rate of 500 miles/hour  

Learn more about Rate of change here:

https://brainly.com/question/29518179

#SPJ1

The sum of deviations of the individual observations from their sample mean is always equal to zero.

The sum of deviations of the individual observations from their sample mean is always equal to zero. This is because the sum of all the deviations is the sum of a positive and a negative value. When we add the negative value to the positive value, the net result is always zero.To illustrate this, let's take an example. Suppose we have a sample of 5 observations: 2, 4, 6, 8, 10. The mean of the sample is 6. The deviations of the individual observations from the sample mean can be calculated as follows:

2-6=-4

4-6=-2

6-6= 0

8-6= 2

10-6=4

When we add the deviations, we get: -4+(-2)+0+2+4=0. The sum of all the deviations is always equal to zero.

Learn more about deviations here:

https://brainly.com/question/20553308

#SPJ4

the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0.

a. P(X<1.8) = .25(1.8) + .5 = .95

b. P(X>-1.5) = .25(-1.5) + .5 = .375

c. P(X<-2) = 0

d. P(-1.5<X<2) = .25(2) + .5 - (.25(-1.5) + .5) = .875

a. For the probability P(X<1.8), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in 1.8 for x in the function to get F(1.8) = 0.25(1.8) + 0.5 = 0.95. Therefore, P(X<1.8) = 0.95.

b. For the probability P(X>-1.5), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375. Therefore, P(X>-1.5) = 0.375.

c. For the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0. Therefore, P(X<-2) = 0.

d. For the probability P(-1.5<X<2), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 and 2 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375 and F(2) = 0.25(2) + 0.5 = 0.95. Therefore, P(-1.5<X<2) = 0.95 - 0.375 = 0.875.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

A) An algebraic expression that could be used to model the situation where a horse's weight decreases by ¹/₂ pounds weekly is w/r, where w is the total weight lost and r is the constant rate of weight loss.

B) Using division operation and decreasing rate, if a horse's weight decreases by ¹/₂ pounds weekly, it will take the horse 11 weeks to lose a total of 5¹/₂ pounds.

An algebraic expression combines constants, variables, and mathematical operations (+, -, ×, ÷) without the equal sign (=) found in equations.

While equations show the equality of expressions, algebraic expressions merely state values.

Division operation is one of the four basic mathematical expressions, including addition, subtraction, and multiplication.

Division operations involve the dividend, the divisor, the equal sign (=), the division operand (÷), and the result called the quotient.

The total weight loss over time = 5¹/₂ pounds

The constant rate of weight loss = ¹/₂ pounds per week

The number of weeks for the horse to lose 5¹/₂ pounds = 11 weeks (5¹/₂ ÷ ¹/₂).

Learn more about algebraic expressions at https://brainly.com/question/723406

#SPJ1

Julie is correct. If n=0 then you would get the fraction [tex]\frac{0}{0}[/tex] which is indeterminant (or undefined) since a zero is present in the denominator.

Answer:

(3,4)

k is 4

Step-by-step explanation:

See attached graph.