Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Less than 10 attempts were successful in this situation. due to the fact that 5 is less than 10. The data does not satisfy the requirement as a result.

Because the data don't fit the success or failure criteria, it is not appropriate to adopt a normal model for the sampling distribution of the sample.

50 students make up the sample. The likelihood that she assumes 10% of the class will attend is 10%. It will be demonstrated by:

1 - p = 1 - 10%

⇒ 1 - 0.10 = 0.90

np = 50 × 0.1

np = 5

This suggests the number of victories.

In this case, fewer than 10 efforts have been successful. Since 5 is less than 10, this is the situation. The data does not meet the criteria as a result.

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Answer: 17. Domain: x is all real numbers

Range: y>=0

18. r=2

Step-by-step explanation:

17. f(x)=|x-2|

|x-2|>=0

x-2>=0

x>=2

x-2=<0

x=<2

x can be less than, equal to, or greater than 2. Hence,

Domain: x is all real numbers

|x-2|>=0 ==> f(x)>=0

Hence, the range is:

Range: y>=0

18. m=(y2-y1)/(x2-x1)

2=(9-3)/(5-r)

2=6/(5-r)

2(5-r)=6

5-r=3

r=2

In am writing this because the app says the answer is to short :)))

Answer:

Step-by-step explanation:

p(x) = 2x² - 4x

g(x) = x - 3

To find (pog)(x) replace every x in p(x) by g(x)

That's

(pog)(x) = 2(x - 3)² - 4(x - 3)

= 2( x² - 6x + 9) - 4x + 12

= 2x² - 12x + 18 - 4x + 12

Hope this helps you

An exponential function is a function that has the form f(x) = b^x, where b is the base of the exponential function, and x is the exponent.

The base is a positive real number that is not equal to one. An exponential function is a continuous function that is always increasing when the base is greater than one, and always decreasing when the base is between zero and one. The equation for an exponential function with base b is:f(x) = b^xThis equation is the definition of an exponential function with base b.

It describes the relationship between the input variable x and the output variable f(x). When x is positive, the function increases exponentially as b is raised to higher powers.

When x is negative, the function decreases exponentially as b is raised to negative powers.  

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(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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Answer:

No

Step-by-step explanation:

substitute the x- coordinate of the point into each equation and if both have the value of the y- coordinate of the point then it is a solution.

y = 5(3) + 9 = 15 + 9 = 24 ≠ 9

y = 3 + 6 = 9

since the point does not satisfy both equations then it is not a solution of the system.

No

Step-by-step explanation:

y=5x+9

y=x+6

\(y = 5x + 9 \: \: - - - - - - (1) \\ y = x + 6 \: \: - - - - - - -(2) \\ from \: equation \: (2) \\ y - 6 = x \\ x = 6 + y - - - - - - (3)\\ y = 5x + 9 \\ y = 5(6 + y) + 9 \\ y = 30 + 5y + 9 \\ 5y - y = 30 + 9 \\ 4y = 39 \\ y = - \frac{39}{4} \\ y = 9.75 \\ \\ y = 9.75 \: into \: (2) \\y = x + 6 \\ 9.75 = x + 6 \\ 9.75 - 6 = x \\ x = 9.75 - 6 \\ x = 3.75\)

So the answer is NO

The outcome of a simulation experiment is a probability distribution for one or more output measures.

Simulation experiments involve using computer models to imitate real-world processes and study their behavior. The output measures are the results generated by the simulation, and their probability distribution is a statistical representation of the likelihood of obtaining a particular result. This information is useful in decision-making, as it allows analysts to assess the potential impact of different scenarios and identify the most favorable outcome. To determine the probability distribution, the simulation is run multiple times with varying input values, and the resulting outputs are analyzed and plotted. The shape of the distribution indicates the degree of uncertainty associated with the outcome.

The probability distribution obtained from a simulation experiment provides valuable information about the likelihood of different outcomes and helps decision-makers make informed choices.

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Answer:

7.92

Step-by-step explanation:

Given

c² + 0.1c - 24 ← substitute c = - 5.7 into the expression

= (- 5.7)² + 0.1(- 5.7) - 24

= 32.49 - 0.57 - 24

= 31.92 - 24

= 7.92

Answer:

The change in temperature is -6.64

The average hourly rate of change is

6 hours or -3.32

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

Equations are mathematical expressions that have two algebraic expression on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. It is clear that a statement is not an equation if there is no "equal to" sign in it. The phrase will be regarded as an expression.

Given that : line that is parallel to the line 3x + 4y = 32 and contains

the point (7,1).

3x + 4y = 32 is the equation for given line

This type of line is called a slope intercept. The line has a slope of m=\(\frac{-3}{4}\).

The slope of parallel lines is equal. As a result, all lines with slope m=\(\frac{-3}{4}\).will be perpendicular to one another.

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

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Answer:

1466 feet

Step-by-step explanation:

If length is 5 feet, x=5. The width will be 6*(5)^3+3-(5)^2=728 feet. The perimeter will be 2*(l+b)=2*733=1466 feet

The critical value z a/2 that corresponds to a 97% level of confidence is 1.96, and the critical value z a/2 that corresponds to an 80% level of confidence is 1.28.

In statistical hypothesis testing, the critical value is the point beyond which we reject the null hypothesis. To find the critical values, we need to use the standard normal distribution table or calculator.

For a 97% level of confidence, the significance level (α) is 0.03, and the critical value can be found by dividing α by 2 to get 0.015 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.96.

Similarly, for an 80% level of confidence, the significance level (α) is 0.20, and the critical value can be found by dividing α by 2 to get 0.10 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.28.

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Answer:

Square of 24: 24² = 576.

Step-by-step explanation:

The square root of 24 is a number which when doubled by itself, occurs in the product 24.

...

Hope this helps!

-kiniwih426

Answer:

1,320 liters

Step-by-step explanation:

First, I multiplied 22 times 60 minutes, because that is how long an hour is, and when you multiply you get 1,320. I hope this helps :)

awnser:

1320?

Step-by-step explanation:

Answer:

475 ft

Step-by-step explanation:

\(\frac{x}{25}\) = \(\frac{38}{2}\)

cross multiply

2x = 950

x = 475

The height of the building is 475 ft.

In similar triangles, corresponding sides are always in the same ratio.

Given that, a triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow.

The triangles are forming similar triangles,

Let the height of the building be x

Therefore, x/25 = 38/2

x = 475

Hence, The height of the building is 475 ft.

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Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

Answer:

20. from y-axis,

(0,3)

from x-axis,

(8,0)

from, m = (y-y1) /(x-x1)

m = (0-3)/(8-0)

m = -3/8

y-y1 = m(x-x1)

y-0 = -3/8(x-8)

y = -3/8x + 3

21. from x-axis,

x = -2

x = k

where, k is any real number.

equation of the line is x = -2.

22. from y-axis,

y = -3

y = k

equation of the line is y = -3.

Answer:

False.

Step-by-step explanation:

Counterclockwise is different from Clockwise.

Answer:

False

Step-by-step explanation:

They are rotating a different direction

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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The shortest distance from the surface 12x^2 = 132 to the origin is √11 units.

To find the shortest distance from the surface 12x^2 = 132 to the origin (0, 0), we need to determine the distance between the origin and any point on the surface.

The given equation is 12x^2 = 132. Let's solve it for x:

12x^2 = 132

x^2 = 132/12

x^2 = 11

x = ±√11

Since we are interested in the distance from the surface to the origin, we take the positive square root: x = √11.

Now, we can calculate the distance using the distance formula:

Distance = √(x^2 + y^2)

Since the surface is defined by 12x^2 = 132, the value of y will be 0.

Distance = √(√11^2 + 0^2)

Distance = √(11 + 0)

Distance = √11

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Answer: 3 positive integers.

Step-by-step explanation:

This can be translated to:

"how many integer numbers have the same number of digits in their cubes and squares?"

for example, a number that will be an option is 2:

Because 2*2 = 4

               2*2*2 = 8

the square and cube of 2 have the same number of digits.

3 for example:

3*3 = 9

3*3*3 = 27

does not match the condition.

1 does match it, obviusly.

0 is not positive, so we can ignore it.

let's see 4.

4*4 = 16

4*4*4 = 64

So 4 is other number that matches the condition.

Now, 5:

5*5 = 25

5*5*5 = 125

5 does not match the condition, and any number upper than 5 also does not match the condition.

so the numbers we have are 1, 2 and 4.

so we have 3 integers.

Answer:

Well, the answer is 0.

Step-by-step explanation:

Answer: 0

Step-by-step explanation: the answer will be zero because since -456 and 456 are both the opposite the answer will be zero I hope this helps :)

To find the total horizontal distance traveled by the soccer ball, we use the formula \(d_m = v_0 \cos(\theta) \cdot t\). Given the angle \(\theta = 45\) degrees and the time \(t = 2.4\) seconds, we need to determine the initial velocity \(v_0\) to calculate the distance.

The total horizontal distance traveled by the soccer ball can be calculated using the formula:

\(d_m = v_0 \cos(\theta) \cdot t\)

where \(v_0\) is the initial velocity of the ball, \(\theta\) is the angle of projection, and \(t\) is the time of flight.

In this case, the angle of projection is given as \(\theta = 45\) degrees, and the time of flight is \(t = 2.4\) seconds. We need to determine the initial velocity, \(v_0\), to find the total horizontal distance traveled.

To find \(v_0\), we can use the vertical motion equation:

\(h = v_0 \sin(\theta) \cdot t - \frac{1}{2} g t^2\)

where \(h\) is the maximum height reached by the ball and \(g\) is the acceleration due to gravity.

Since the ball starts and lands at the same height, the maximum height is zero, so we can simplify the equation to:

\(0 = v_0 \sin(\theta) \cdot t - \frac{1}{2} g t^2\)

Using the known values of \(\theta\) and \(t\), we can solve for \(v_0\).

Once we have the value of \(v_0\), we can substitute it back into the first equation to calculate the total horizontal distance, \(d_m\).

The final answer for the total horizontal distance traveled by the ball will be in meters.

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Answer:

85

Step-by-step explanation:

5×9=45

8×5=40

add it

85

Answer:

Step-by-step explanation:

700.5

Answer:

x=11

Step-by-step explanation:

Notice that the first diagram is similar with the second diagram with ratio 1:2

Ex: Side length of JK is 6 and NP being 12, 6:12→1:2

You can conclude that x:22 needs to follow the ratio of 1:2

Thus, x=11

Check the picture below.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}\)

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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Answer: If you want me to evaluate its 18x - 2

Hope it helped :D

Answer: y = -3x - 4

Step-by-step explanation:

Slope intercept form would be y = mx + b. To get your equation to this form you would need to isolate for y as shown:

3x + y = -4

y = -3x - 4 <-- Here I subtracted both sides by 3x