What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.

The expression of the composite function is (d) 192 - 24t

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

B(t) = 2(8 - t)

M(n) = 12n

To calculate the required function, we make use of

M(B(t))

Substitute the known values in the above equation, so, we have the following representation

M(t) = 12 * 2(8 - t)

So, we have

B(t) = 192 - 24t

Hence, the expression is (d) 192 - 24t

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

Answer:

Step-by-step explanation:

2

Area of circle A = pi r²

r is the radius

small circle area = pi

large circle area = k.pi

the diameter of the the large circle equals 3 times the diameter of the small circle .

since A = pi . r²

pi.r² = pi as given the area of the small circle

r²= 1

r= 1 is the radius of the small circle the the diameter = 2

the diameter of the large circle = 3.2 = 6

the radius = 3

the area = pi .3² = 9 pi

then k = 9

Answer:

20

Step-by-step explanation:

Given that the triangles are similar, we know that the corresponding side lengths should all have similar ratios.

This means that ab/ef = bc/fg = ca/ge as they're corresponding.

We know that ge = 8, ca = 4, ab = 10 and we want to find ef

Remember ab/ef = ca/ge so 10/ef = 4/8

4/8 = 10/ef

==> cross multiply

80 = 4ef

==> divide both sides by 4

20 = ef

We can test our answer by seeing if the ratios are the same

ab/ef = 4/8 = 1/2

ca/ge = 10/20 = 1/2

The ratios are the same, therefore our answer is correct.

Answer:

AB = 10ft

Step-by-step explanation:

First, we need to know that ED and AD share the same proportions as CB and AB. Since we know ED:AD is 9:6 and CB:AB is 15:x, we can now solve the problem.

ED:AD  =  9:6

CB:AB  =  15:x

Since we have to multiply the length of ED by 5/3 to get the length of CB, if we multiply the length of AD by 5/3, we can find the length of AB. Since 6*(5/3)=10, the length of AB must be 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The value of the correlation coefficient for the number of baggage handlers and the number of arriving passengers is 0.842.

Therefore the answer is D. 0.842

The correlation coefficient is a measure of the strength of the linear relationship between two variables. It is a value between -1 and 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

In this case, the output from the regression equation analysis states that the correlation coefficient is √0.709 = 0.842, which means that there is a strong positive linear relationship between the number of baggage handlers and the number of arriving passengers. A correlation coefficient of 0.842 is considered a strong positive relationship.

In this case, an increase in the number of arriving passengers is associated with an increase in the number of baggage handlers needed, as reflected by the positive correlation coefficient.

To know more on correlation coefficient

https://brainly.com/question/15577278

#SPJ4

(-1, 1) is the required ordered pair that represents a solution to both equations. Option C is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
On the given graph there are two lines intersecting at points (-1, 1), since the point of intersection of the two lines represents the solution to both equations.

Thus, (-1, 1) is the required ordered pair that represents a solution to both equations.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ1

Answer:

(-1, 1) is the required ordered pair that represents a solution to both equations. Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

On the given graph there are two lines intersecting at points (-1, 1), since the point of intersection of the two lines represents the solution to both equations.

Thus, (-1, 1) is the required ordered pair that represents a solution to both equations.

Step-by-step explanation:

As per the equation, we are able to calculate the total cost of sundae being $17.

To calculate,

Per person cost × number of people = cost of sundaes

4.25 × 4 = 17

One of the four fundamental operations of arithmetic, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction. Divide a rational expression by multiplying the first fraction by its reciprocal. We factor everything and search for common factors after rewriting the division as multiplication of the first expression by the reciprocal of the second. rational arguments are divided. A division problem has three main components: the dividend, the divisor, and the quotient. That which will be divided is the dividend. The number of "people" into which the number is divided is referred to as the divisor. The ratio is the response.

To learn more division: https://brainly.com/question/25289437

#SPJ4

Answer: Alan would have to sell less than 540 boxes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+4(m-3)+4m

18+4m-12+4m

=8m+6

Answer:  options a and c

Answer:

5.8

Step-by-step explanation:

[tex]\tan 58^{\circ}=\frac{x}{3.6} \\ \\ x=3.6\tan 58^{\circ} \\ \\ x \approx 5.8[/tex]

The solution to the inequality -3 < 2x - 3 is given as follows:

x > 0.

The inequality for this problem is defined as follows:

-3 < 2x - 3.

It can be rewritten as follows:

2x - 3 > -3.

We isolate the variable x, similarly to an equality, as follows:

2x > 0

x > 0/2

x > 0.

Hence all the options that have positive numbers are solutions to the inequality−3<2x−3.

The problem is incomplete, hence the answer was given on general terms.

More can be learned about inequalities at https://brainly.com/question/25275758

#SPJ1

No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

know more about equations here

https://brainly.com/question/29657988#

#SPJ11

Insertion Sort with Binary Search is still a linear time-complexity algorithm in the average and worst case, but it is not the best option for sorting large arrays of elements, as the time complexity remains quadratic.

Insertion Sort is a simple sorting algorithm that works by inserting each element in its correct position in a sorted list.

a. It uses Θ(n²) comparisons in the worst case: This statement is true. In the worst-case scenario, Insertion Sort with Binary Search still takes Θ(n²) comparisons to sort an array of n elements. This happens when the array is sorted in descending order, and the elements need to be inserted one by one at the beginning of the list.

b. It uses Θ(n log n) comparisons in the average case: This statement is false. Insertion Sort with Binary Search still uses Θ(n²) comparisons in the average case, even though the use of Binary Search reduces the number of comparisons compared to Linear Search.

c. It uses Θ(n) comparisons in the best case: This statement is false. In the best-case scenario, Insertion Sort with Binary Search still takes Θ(n²) comparisons, as every element needs to be compared and inserted in its correct position

To know more about linear here.

https://brainly.com/question/13738061

#SPJ4

The required thickness of member BC to the nearest 1/16​ in. and the diameter of the pins at A and B is dA​= [tex]1\frac{1}{8}[/tex] in

To solve thsi It is necessary to determine the thickness of BC. The allowed normal stress is σ[tex]_{allow[/tex]=29 ksi and the permissible shear stress is τ[tex]_{allow[/tex]=10 ksi.

In the first we will determine the reactions of the system.

We apply the conditions of equilibrium:

→+∑Fₓ=0

+↑∑F[tex]_y[/tex]=0

+↺∑M=0

From picture b

∑M[tex]_B[/tex]=0

⇒−2⋅8⋅4+Ay⋅8=0

⇒Ay​=8 kip

∑Fy=0

⇒−2⋅8+Ay​+By​=0

⇒−2⋅8+8+By​=0

⇒By=8 kip

From picture c)

∑M[tex]_C[/tex]=0

⇒+By​⋅cos60∘−Bx​⋅sin60∘=0

⇒+8⋅cos⁡60∘−Bx⋅sin⁡60∘=0

⇒Bx=4.6188 kip

In the next step we will determine the dimensions of the BC rod:

[tex]\sigma BC= \frac {F_{BC}}{A_{BC}}\leq \sigma _{allow}[/tex] =29 ksi

The cross-sectional area has a value:

[tex]A_{BC}=1.5.t[/tex]

The force acting in the BC stick is calculated as follows:

[tex]F_{BC}=\sqrt{4.6188^2+8^2}=9.258 \ kip \\\\=\frac{9.258}{1.5.t}=29 \\\\=t=0.2128 \ in=1/4in[/tex]

Now we can switch to determining the diameter of the pins.

Pin B:

τB=VB/AB⩽τallow=10 ksi

The cross-sectional area has a value:

AB=π/4⋅d²B

The force acting in the BB pin is calculated as follows:

VB=[tex]\sqrt{4.618^2+82^2[/tex]=4.629 kip

[tex]\frac{4.629}{\pi/4 . d^2_B} =10[/tex]

⇒dB​=0.767in=13/16in

Now we can switch to determining the diameter of the pins.

Pin A

τA=VA/AA⩽τallow=10 ksi

The cross-sectional area has a value:

[tex]A_A​=\pi/4 . d^2B[/tex]

The force acting in the AA pin is calculated as follows:

[tex]V_A=4.618^2+8^2[/tex]=9.258 ki

9.258 ÷ π/4⋅d²A=10

⇒dA​=1.0859in=[tex]1\frac{1}{8}[/tex]in

The solution is:

{σs=208 MPa​}

{dB=13/16in}

{dA=[tex]1\frac{1}{8}[/tex]in​}

Complete Question:

Determine the required thickness of member BC to the nearest 1/16in. and the diameter of the pins at A and B if the allowable normal stress for member BC is σ allow =29 ksi and the allowable shear stress for the pins is τ allow =10τ allow ​=10 ksi.

To learn more about the area, visit:

brainly.com/question/16151549

#SPJ4

Part A: The point (2, 80) represents that when the number of hours is 2, the number of miles of water in the tank is 80.

Part B: y = 40x

The theory used in this question is the concept of proportional relationships.

A proportional relationship between two variables is one in which one variable is a constant multiple of the other.

In this case, the number of miles of water in the tank is a constant multiple of the number of hours.

The equation y = mx is used to describe a proportional relation, where m is the constant of proportionality.

The equation for the proportional relationship between hours, x, and number of miles, y, of water in a tank can be written in the form of y = mx. To find the value of m, we can use the point (2, 80) from the graph. We know that when x = 2, y = 80. We can use this information to solve for m.

m = y/x

m = 80/2

m = 40

Therefore, the equation for the proportional relationship is y = 40x.

To learn more about proportional relationships, visit

brainly.com/question/29765554

#SPJ1

The probability that two random numbers, x and y, both of which are uniformly distributed on the interval [0,1] and independent, will have a product greater than 1/2 is 1/8.

Probability is a field of mathematics that deals with the study of random events.

In this question, we're looking at the probability of two random numbers having a product greater than 1/2.

Let's take two random numbers, x and y, both of which are uniformly distributed on the interval [0,1].

And since x and y are independent, the occurrence of one event does not affect the occurrence of the other event.

To find the probability that x * y is greater than 1/2, we need to find the area of the region in the x-y plane where x * y is greater than 1/2.

This region is a triangle whose vertices are (0,1), (1,0), and (1/2, 1/2).

The area of this triangle is 1/8, so the probability that

=> x * y  > 1/2 = 1/8.

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

In rapidminer, correlation matrix is used to create correlation coefficients.

Correlation matrix Operator determines correlation between all attributes and it can produce a weights vector based on these correlations. Correlation is a statistical technique that can show whether and how strongly pairs of attributes are related.

Suppose we have two Attributes X and Y, with means X' and Y' respectively and standard deviations S(X) and S(Y) respectively. The correlation is computed as summation from 1 to n of the product (X(i)-X').(Y(i)-Y') and then dividing this summation by the product (n-1).S(X).S(Y) where n is total number of Examples and i is the increment variable of summation.

To know more about the Correlation matrix, here

brainly.com/question/27779458

#SPJ4

Answer: 16cm

Step-by-step explanation:

1 metre = 100cm

16% of 100 = 16

Therefore your answer will be 16cm !

As per the given random number, the expected value of Y which counts how many of the Xi's are ≤ 1 is tₐ.

The term called random number in math is defined as a number chosen by chance that is randomly from a set of numbers.

Here we know that let us consider that n random number generators, where the a th one draws a number uniformly at random from the interval [0, tₐ].

Here we have also know that tₐ's are arbitrary positive integers.

Let us consider that Xₐ be the number drawn by the ₐ th random number generator.

Then the the expected value of the sum is written as,

=>  S = X1 + X2 + ... + Xₐ

Where it can be simply written as,

=> S = ∑Xₐ

Here we have also know that  the expected value of Y, which counts how many of the Xi's are ≤ 1 is calculated as,

=> Y = ∑Xₐ where {0 < tₐ < a}.

To know more about random number here.

https://brainly.com/question/18534135

#SPJ4

There are 10 numbers of form ab554433221100 is divisible by 11.

To decide if a fraction has to be decreased, divisibility rules can be applied. The patterns that appear when we list the multiples of any number serve as the foundation for the rules.

Given:

Form: ab554433221100

If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely.

Let us take value of a, b= 0, 1, 2, 3, ....9

So, the possible number divisible by 11.

00554433221100

11554433221100

22554433221100

33554433221100

44554433221100

55554433221100

66554433221100

77554433221100

88554433221100

99554433221100

Thus, we have 10 numbers.

Learn more about divisibility Rule here:

https://brainly.com/question/28281492

#SPJ1

since 4000 ---> 210

then x -----> 336

(4000 * 336) / 210 = x

x = 6,400

The area in which the goat can haze inside the land with the shape of a triangle ABC = 16m²

The formula that is used to calculate the area of a triangle = 1/2 base ×height.

where base of a triangle = 4m

The height of the triangle = 8m

The area of the triangle = 1/2× 4× 8

= 16m².

Learn more about triangle here:

https://brainly.com/question/25215131

#SPJ1

Complete question:

An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse.if the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.

The area in which the goat can haze inside the land ABC is; 16m²

The formula that is usually applied to calculate the area of a triangle is expressed as;

Area =  ¹/₂ * base * height.

The parameters are;

Base of a triangle = 4m

Height of the triangle = 8m

Thus,

Area of the triangle ABC = ¹/₂ * 4 * 8

Area =  16m².

Read more about triangle area at; https://brainly.com/question/17335144

#SPJ1

Complete question is:

An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse. If the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.

Answer:

9 m , 23 m , 23 m

Step-by-step explanation:

let the third side be represented by x , then the 2 equal sides are

3x - 4 and 3x - 4

the perimeter (P) is the sum of the 3 sides

P = x + 3x - 4 + 3x - 4 = 7x - 8

given P = 55 m , then equating

7x - 8 = 55 ( add 8 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

3x - 4 = 3(9) - 4 = 27 - 4 = 23

sides of triangle are 9 m , 23 m and 23 m

Answer:

The variable represented in the statement "record the percentage change in the price of a stock for 100 stocks publicly traded on wall street." is a Quantitative Variable .

The Quantitative variables are defined as numerical which represent a measurement or a count.

In the statement :  the percentage change in the price of a stock is a numerical representation of the amount of change in the price of a stock, expressed as a ratio or a percentage.

Therefore ,  the variable "percentage change in the price of a stock" is a quantitative variable because it is numerical and represents a measurement of change in the price of a stock.

Learn more about Variable here

https://brainly.com/question/14583272

#SPJ4

0.079 liters is 79.1 ml with correct significant numbers.

We know that 1 liters = 1000 ml

Hence, 1 ml = 0.001 liters

In the given question we need to convert 79.1 ml to liters. So, we multiply 79.1 ml by 0.001 l to convert ml to liters.

79.1 x 0.001 = 0.0791 l

The given question 79.1 ml has 3 significant figures. Hence, we can write 0.0791 as 0.079 l as 3 significant figures, counting the digits on the right of decimal point.

Therefore, 0.0791 liters is 79.1 ml. On rounding it to correct significant numbers, we get 0.079 l.

To know more about significant figures:

https://brainly.com/question/30451766

#SPJ4

Consequently, point N's ordered pair is (2,6).  A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate

N's coordinates are: (-2,-6)

To create point N', point N is reflected over the y-axis.

Point N is then created by reflecting point N' over the x-axis ".

To locate: The ordered pair describing N's location ".

Solution:

Point N's coordinates are (-2,-6). To create point N', point N is reflected over the y-axis.

[tex]& (x, y) \rightarrow(-x, y) \\[/tex]

[tex]& N(-2,-6) \rightarrow N^{\prime}(2,-6)[/tex]

Point N is then created by reflecting point N' over the x-axis.

[tex]& (x, y) \rightarrow(x,-y) \\[/tex]

[tex]& N^{\prime}(2,-6) \rightarrow N^{\prime \prime}(2,6)[/tex]

Consequently, point N's ordered pair is (2,6)

To learn more about ordered pair, refer to:

https://brainly.com/question/11139505

#SPJ1

Based on the definition of the inscribed angle of a semicircle , the value of x is: A. 6.

An inscribed angle of a semicircle is an angle whose vertex lies on the circumference of the semicircle and whose sides are chords of the semicircle. The measure of an inscribed angle of a semicircle is always equal to half the measure of the central angle (90 degrees) that intercepts the same arc as the inscribed angle.

Therefore, we would have:

16x - 6 = 90

16x = 90 + 6

16x = 96

16x/16 = 96/16

x = 6

Learn more about the inscribed angle on:

https://brainly.com/question/3538263

#SPJ1