Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

Learn more about square on:

https://brainly.com/question/813881

#SPJ1

Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Answer: 0.18

Step-by-step explanation:

The probability of the event P(A and B) is equal to 0.18.

The correct option is (C).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been introduced in Arithmetic to forecast how likely occurrences are to happen.

As per the given data:

We are given the probability of two events:

P(A) = 0.60 and P(B) = 0.30

We are also given that A and B are independent events.

To find the probability of P(A and B):

The term and is equivalent to the term intersection.

P(A and B) = P(A∩B)

For any 2 independent events A and B the probability P(A∩B) is given by:

= P(A) × P(B)

By substituting the given values in the question

= 0.60 × 0.30

= 0.18

The probability of the event P(A and B) is equal to 0.18.

Hence, The probability of the event P(A and B) is equal to 0.18.

To learn more on Probability, click:

brainly.com/question/30034780

#SPJ5

Answer:

Step-by-step explanation:

hello here is an solution

The function is increasing on the intervals:

(-∞, 3] and [5, ∞)

Then the correct options are a and c.

The function is increasing when, reading from left to right, we can see that the curve goes upwards.

By looking at the graph, we can see that the function increases between -∞ and 3, and also increases between 5 and ∞, then the correct options are a and c-

(-∞, 3] and [5, ∞)

If you want to learn more about increasing functions:

https://brainly.com/question/1503051

#SPJ1

Answer:

Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Answer: The least common denominator of 1/4 and 1/6 is 12.

Prime factorisations of 8= 2 × 2 × 2.

Prime factorisations of 12= 2 × 2 × 3.

More items...

Hi! ⋇

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

   To find the least common denominator of [tex]\sf{\frac{1}{2}}[/tex] and [tex]\sf{\frac{5}{6}}[/tex], we should first find the least common multiple of 2  and 6, which is 6:

 Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16... ∞

 Multiples of 6: 6, 12, 18, 24... ∞

(all common multiples are in bold-face; all multiples of 6 are in bold-face because all multiples of 6 are also multiples of 2)

· In both sets, 6 is the least common multiple, and it's also the least common denominator.

Hope this made sense to you !!

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

Answer: 5

Step-by-step explanation:

[tex]\sqrt{(-4-0)^2 + (1-(-2))^2}=5[/tex]

Abiding by the two rules, the number of variable names we can have in Python are; 63

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

Read more about Python Programming at: https://brainly.com/question/26497128

#SPJ1

The speed of the driver is 200km/hr.

The information is incomplete and an overview will be given since the complete information wasn't found online.

It should be noted that speed is calculated as:

= Distance / Time

Let distance = 2000km

Let time = 10 hours.

Speed = Distance/Time

Speed = 2000/10

Speed = 200km/hr

Learn more about speed on:

brainly.com/question/4931057

#SPJ1

Answer:

B=37

H=66

Step-by-step explanation:

Use algebra and find the answer.

The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

Learn more about multiplication:

https://brainly.com/question/10873737

#SPJ1

The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 43/4h if the area of trapezoid is 14 square units.

Given that area is equal to 1-2([tex]b_{1} -b_{2}[/tex])h and area is 14 square units.

We know that area of trapezoid is equal to (a+b)h/2.

We have to put the given equation equal to 14 to get our first equation.

14=1-2([tex]b_{1} -b_{2}[/tex])h

14=1-2[tex]b_{1}[/tex]h+2[tex]b_{2}[/tex]h

2[tex]b_{1}[/tex]h-2[tex]b_{2}[/tex]h=-13------------1

Now put the value of area in the formula of area of trapezoid.

14=[tex](b_{1} +b_{2})h/2[/tex]

[tex]b_{1}[/tex]h+[tex]b_{2}h[/tex]=28-----------------2

Multiply equation 2 by 2 and then subtract 2 from 1

[tex]2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h[/tex]=-13-56

-4[tex]b_{2}h[/tex]=-43

[tex]b_{2}[/tex]=43/4h

Put the value of [tex]b_{2}[/tex] in 2 to get the value of [tex]b_{1}[/tex].

[tex]b_{1} h+43/4h*h=28[/tex]

[tex]b_{1}[/tex]=69/4h

Hence The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 51/4h if the area of trapezoid is 14 square units.

Learn more about trapezoid at https://brainly.com/question/1463152

#SPJ1

The explicit formula that can be used to determine the number of wolves is w = 210 (1.0692^t) .

The first step is to determine the growth rate of the wolf species.

Growth rate = [(future population / present population)^(1/number of years)] - 1

[(410 / 210)^(1/10)] - 1 = 6.92

The exponential function would have the form:

FV = P (1 + r)^t

w = 210 (1.0692^t)

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ1

75 percent of the stock are sleeveless

The given parameters are:

Blouse = 120

Sleeveless = 90

The percentage is calculated as:

Percentage = Sleeveless/Blouse * 100%

So, we have:

Percentage = 90/120* 100%

Evaluate the expression

Percentage = 75%

Hence, 75 percent of the stock are sleeveless

Read more about proportion at:

https://brainly.com/question/1781657

#SPJ1

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

2) It is multiplied by 4.

3) It is equated to 20.

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

2) Subtract 3 on both sides.

∴ The number is 2.

The description of the box plots are as follows:

IQR = 25 - 2

= 23

The difference between the median values

= 20 - 6

= 14

That female admires those movie stars and has a large group of pals with whom she goes out on a regular basis to keep them company.

Learn more about Box plot at;
https://brainly.com/question/14277132
#SPJ1

The simplified firm of the ratio 0.40 to 0.60 is 2 : 3

0.40 : 0.60

= 0.40 / 0.60

divide both numerator and denominator by 0.20

= 2 / 3

= 2 : 3

Therefore, the simplified form of the ratio 0.40 to 0.60 is 2 : 3

Learn more about ratio:

https://brainly.com/question/2328454

#SPJ1

Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

The value of x is 22

Based on the description in the question,

The angles 5x -40 and 5x are angles on a straight line

So, we have:

5x - 40 + 5x = 180

Evaluate the like terms

10x = 220

Divide by 10

x = 22

Hence, the value of x is 22

Read more about angles at:

https://brainly.com/question/13954458

#SPJ1

The amount after 1 year is $7280 and the amount after two year is $8153.

Given that $6500 is placed in an account that pays 12% interest compounded each year.

Compounding is the addition of interest to the principal of a loan or deposit, or in other words, interest on principal plus interest.

Compounded interest=12%

Principal amount=$6500

Time period = 1 year

[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]

where P is Principle amount, r is annual interest, n is number of times the interest compounded monthly, t is number of years

Here P=6500, r=12%, n=1, t=1

Substitute these values in the formula, we get

A=6500(1+(0.12/1))¹⁽¹⁾

A=6500(1+0.12)¹

A=6500×1.12

A=7280

Now we have to calculate for two years.

That is if n=2 , then

A=6500(1+(0.12/1))¹⁽²⁾

A=6500(1+0.12)

A=6500×1.2544

A=8153.6

Hence, the amount for one year and two year when $6500 is placed in an account that pays 12% interest compounded is $7280 and $8153.60.

Learn more about compound interest from here brainly.com/question/2455673

#SPJ1

Answer:

c) 212 sq ft

Step-by-step explanation:

I don't know which ways you tried, but I will show you three different ways, and the answer will be the same using all three ways.

1) The length of the upper horizontal side is 8 ft + 12 ft = 20 ft

Think of a rectangle 20 ft by 16 ft with a rectangle 12 ft by 9 ft missing at the lower right corner.

area = 20 ft × 16 ft - 12 ft × 9 ft

area = 320 ft² - 108 ft²

area = 212 ft²

2) Break up the shape into an upper horizontal rectangle 20 ft long by (16 ft - 9 ft) = 7 ft wide and a lower left rectangle 9 ft high and 8 ft wide.

area = 20 ft × 7 ft + 9 ft × 8 ft

area = 140 ft² + 72 ft²

area = 212 ft²

3) Break up the shape into an left vertical rectangle 16 ft high by 8 ft wide and an upper right rectangle 7 ft high and 12 ft wide.

area = 16 ft × 8 ft + 7 ft × 12 ft

area = 128 ft² + 84 ft²

area = 212 ft²

Answer: c) 212 sq ft

Answer:

Step-by-step explanation:

espero ter ajudado

The values of x and y that can represent the equation is illustrated.

The equation given us 32 = xy + 16

The table will be:

x. y

4. 4

16. 1

2. 8

32. 0.5

For example, when x and y are 4. This will be:

= xy + 16

= (4 × 4) + 16

= 32

Other values of x and y will also give 32.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

According to the statement

we have given that a equation and we have to expand it by use of the binomial theorem.

So, For this purpose we know that the

A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

And the general formula is

[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]

And we have to solve it with the given equation (x-4)^5.

Then

[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]

Now after solving the equation become

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The after expanding the given statement with the binomial theorem the result output is

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

Learn more about binomial expansion here

https://brainly.com/question/13672615

#SPJ1

The volume of the composite figure is 655.44 unit³.

The information is incomplete. An overview will be given. Let's assume that the shape is a cylinder.

The volume of a cylinder is πr²h

Assumed radius = 7

Assumed height = 4

The volume will be:

= πr²h

= 3.14 × 7² × 4

= 615.44 unit³

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

The amount of time between interest payments is know as period.

Period is the time between when interests are paid. Period can vary depending on the terms of the investment. Periods can be yearly, quarterly, semi-annually, biweekly or weekly.

To learn more about interest, please check: https://brainly.com/question/26164549

#SPJ1

Answer:

89.4 - 13.621 = 75.779

Explanation:

Subtract 13.621 from 89.4 to get 75.779.

The answers to the question are

b. (l + 2f) (w + 2f)

c. f + 4, f + 6

d.  52.25

a. The diagram is an attachment.

The equation says

(l + 2f) (w + 2f)

We have the lengths of w and l as 8 and 12 respectively. Hence we have

(8 + 2f) (12 + 2f) as the area

c. (8 + 2f) (12 + 2f)

= 96 + 16f + 24f + 4f²

= 4f² + 40 f + 96

We have to factorize this using the quadratic equation calculator

f + 4, f + 6

= f = -4 and f = -6

d. If it is 1.25 thick we would have

1.25 x 2 = 2.5

12 - 2.5 = 9.5

8 - 2.5 = 5.5

Area = l * w

= 5.5 * 9.5

= 52.25

Read mire on binomial multiplication here:

https://brainly.com/question/20353197

#SPJ1

Answer:

0.6

Step-by-step explanation:

Given what we know, we can set up a proportion to convert 1,056 yards into miles

[tex]\frac{1760 yd}{1mi} =\frac{1056 yd}{x mi} \\\\1760x=1056\\\\x=0.6[/tex]

Answer:

Step-by-step explanation:

it would be D

Answer:

[tex]\frac{169}{49}[/tex]

Step-by-step explanation:

Square the top and bottom numbers in the fraction

13^2 = 169

7^2 = 49

169/49