1.Paint yellow only multiples of 8. 1.pinte de amarelo somente os mútiplos de 8​

Answer:

The correct option are;

Every segment has one perpendicular bisector

Every segment has infinitely many congruent segments

Step-by-step explanation:

1) Every segment in a plane has exactly one perpendicular bisector

2) A congruent segment is a segment of equal length as a given segment, given that there can be infinitely many planes that can contain collinear points, whereby two points define a segment, the number of congruent segments that can be formed on infinitely many planes will therefore, be infinite.

Also given that the number of possible segments is infinite, the number of segments of a given size and therefore, the number of possible congruent segments is infinite.

Answer:

there is the answers❤ sorry its a little blurry

Answer:

Part A
x + y = 150

Part B
7x + 5y = 850

Part C
Solution is x = 50, y = 100

there are 50 adult tickets and 100 student tickets sold

Step-by-step explanation:

Let x = number of adult tickets and y= number of student tickets

We have the following equation

x + y = 150        (1)   =>total number of tickets

7x + 5y = 850   (2)  > total cost of x adult and y student tickets

Multiply (1) x 5:

5x + 5y = 750    (3)

Subtract (2) - (3)

7x + 5y - (5x + 5y) = 850 - 750

7x - 5x + 5y - 5y = 100
2x = 100

x = 50

y = 150 - 50 = 100

Answer:

The slope is -2 and the y intercept is -3

Step-by-step explanation:

y = -2x -3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2 and the y intercept is -3

Answer:

$156

Step-by-step explanation:

130 times 20% = 26, 130 plus 26 = 156

Answer:

156 dollars

Step-by-step explanation:

You just multiply 130 with 1.2, because the 1 represents the whole, or 130, and the 0.2 represents the 20% tip .

130 x 1.2 = 156

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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The cubic root of 1000 is of 10, as 10³ = 1000.

We have that 1000 is equivalent to 10³, as:

10³ = 10 x 10 x 10 = 100 x 10 = 1000.

Then the cubic root is found as follows:

\(\sqrt[3]{1000} = \sqrt[3]{10^3} = 10\)

Hence, the cubic root of 1000 is of 10, as 10³ = 1000.

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Answer:

³√1000 = 10

Step-by-step explanation:

Now we have to,

→ Evaluate ³√1000

Let's solve the problem,

→ ³√1000

→ 10

Checking the answer,

→ x³ = 10³

→ 10 × 10 × 10 = 1000

Hence, the answer is 10.

If the faculty went on a weight watchers diet plan and now weight an average of 185 pounds in 2021.  The faculty's average weight loss per year : 185 pounds and 155 pounds.

First step is to find the difference between the initial weight and the final weight

Difference = Initial weight - Final weight

Difference = 215 pounds - 185 pounds

Difference = 30 pounds

Now let find the lost per year

2018

Lost per year = 215 pounds - 30 pounds

Lost per year = 185 pounds

2021

Lost per year = 185 pounds - 30 pounds

Lost per year = 155 pounds

Therefore the loss is 185 and 155 pounds.

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Answer:

C. 1

Step-by-step explanation:

There is no number before the \(x^2\) term and the term is positive, so the coefficient is \(1\) (which is the only number we can refrain from writing as a coefficient, hence the reasoning).

The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.

In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.

A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.

For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:

while (condition) {

   // block of code to be executed while condition is true

}

In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.

Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:

def function(argument1, argument2):

   # block of code to be executed in the function

   return result

In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.

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Answer:The answer is...... I want you to get it but I will help you solve!!

Step-by-step explanation:

What you want to do first is find out how many points decreased.

28-12=?

Then you will take the number decreased and divide it by the original last season goals 28. The smaller number will get divided by 28.

You will get a .(decimal)??? take that number you get and move the .(decimal) over 2 places to the right(that is because it's a %) and you will have your answer.

Answer : 1618

Step-by-step explanation: add 128 and 254 together and you get 382. subtract that from 2000.

Final answer : 1618

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

The mean of these numbers is 13.83 hours (14 hours to the nearest whole number)

Here, we want to calculate the mean number of hours

To do this, we simply add all the numbers and divide by the count of the numbers

The count of the numbers is 6

Thus, we have the calculation as follows;

Answer:For Bus A:

- The fraction of gas used for the trip is: (2/3) x (2/3) = 4/9

- This means that 4/9 of the gas in the tank was used up.

For Bus B:

- The fraction of gas used for the trip is: (2/6) x (3/4) = 1/4

- This means that 1/4 of the gas in the tank was used up.

Therefore, Bus A used up more gas than Bus B by (4/9 - 1/4) = 1/36.

Step-by-step explanation:

Adam runs the fastest at 15 feet per second.To determine who runs the fastest, we need to convert all of the speeds to a common unit, such as feet per second or miles per hour.

Adam runs 15 feet per second, so we can leave his speed as is.

Noah runs 599 feet in 40 seconds, which is equivalent to a speed of 599/40 = 14.975 feet per second.

Jake runs 1 mile in 384 seconds, which is equivalent to a speed of (1 mile x 5280 feet/mile) / 384 seconds = 7.25 feet per second.

Liz runs 667 feet in 1 minute, which is equivalent to a speed of 667/60 = 11.117 feet per second.

Therefore, we can see that Adam runs  fastest at 15 feet per second.

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Answer:

Step-by-step explanation:

-3

Answer:

b

Step-by-step explanation:

when I muiltply an and divide. if there are two negatives it makes a positive an if there jus one it's a negative

As per the given costs, 80 notebooks were sold at the student government fundraiser.

Let the number of notebooks sold be = N

Let the number of t-shirts sold be = T

Setting the equation, representing the total number of items sold

N + T = 90

or N = 90 - T.

Setting the equation, representing the total amount -

6N + 12T = 600

Substituting this value of N into the second equation -

6(90 - T) + 12T = 600

540 - 6T + 12T = 600

6T = 600 - 540

6T = 60

T = 60 / 6

T = 10

Substituting the value of T back into the first equation to find the value of n or total notebooks -

N + 10 = 90

N = 90 - 10

N = 80

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Answer: D

Step-by-step explanation:

5-2=3 3x3=9 so X=5

Cube Root

\( {p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2\)

Formula

\( {p}^{3} - 8 = 0\)

Use the following formula.

\( {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )\)

\((p - 2)( {p}^{2} + 2p + 4)\)

The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).

Thus, remove the expression and leave only p-2

\(p - 2 = 0 \\ p = 2\)

Substitution

The most obvious number that multiplies itself three times and equal 8 is 2.

Substitute p = 2

\( {p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8\)

The equation is true, thus 2 is the answer.

The amount of money that Carson make in a week in which he made $1575 in sales is $686.25.

From the information, Carson makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 15% of his total sales for the week.

Therefore, the amount that he will be paid when he sees $1575 will be:

Base salary + Commission

= $450 + (15% × $1575)

= $450 + $236.25

= $686.25

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2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1 half

Step-by-step explanation:

The function is  G(s) = [ s + 2 2 ] / [ (s + 2\()^2 + 6^2\) ] + 2. The correct answer is: A.

To derive the transfer function of the given state system, we need to take the Laplace transform of the state equation and the output equation.

The state equation is given as:

ẋ(t) = [ 2 4 ] x(t) + [ 3 2 ] u(t)

Taking the Laplace transform of the state equation, we have:

sX(s) - x(0) = [ 2 4 ] X(s) + [ 3 2 ] U(s)

Rearranging the equation, we get:

(sI - A)X(s) = [ 3 2 ] U(s) + x(0)

Simplifying further, we have:

(sI - A)X(s) = [ 3 2 ] U(s) + [ x(0) 0 ]

Now, taking the Laplace transform of the output equation, we have:

Y(s) = [ 0 4 ] X(s) + 2U(s)

Substituting the expression for X(s) from the state equation, we get:

Y(s) = [ 0 4 ] (sI - A\()^-1\) ([ 3 2 ] U(s) + [ x(0) 0 ]) + 2U(s)

Simplifying further, we have:

Y(s) = [ 0 4 ] (sI - A\()^-1\) [ 3 2 ] U(s) + [ 0 4 ] (sI - A)^-1 [ x(0) 0 ] + 2U(s)

Now, the transfer function G(s) is given by the ratio of the Laplace transform of the output to the Laplace transform of the input, with initial conditions set to zero:

G(s) = [ 0 4 ] (sI - A\()^-1\) [ 3 2 ] + 2

Substituting the given values for A, we have:

G(s) = [ 0 4 ] (sI - [ 2 4 ; -8 -10 ]\()^-1\) [ 3 2 ] + 2

Simplifying and solving the inverse, we obtain the transfer function:

G(s) = [ s + 2 2 ] / [ (s + 2\()^2 + 6^2\) ] + 2

Hence, the correct answer is: A.

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Complete Question

Derive the transfer function of the given state system:

x_dot(t) = [2 4] * x(t) + [3] * u(t)

[-8 -10] [2]

y(t) = [0 4] * x(t) + 2 * u(t)

Select the correct transfer function:

A. G(s) = (s + 2) / (s^2 + 6s + 40)

B. G(s) = (s + 2) / (s^3 + 6s^2 + 40s)

C. G(s) = (s + 2) / (s^4 + 6s^3 + 40s^2)

D. G(s) = (s + 2) / (s^5 + 6s^4 + 40s^3)

Answer:

84 cm^2

Step-by-step explanation:

Area of triangle + area of rectangle

Area of triangle = 1/2*l*b

= 1/2*8*3= 12 cm^2

Area of rectangle = l*b

= 12*6 = 72 cm^2

Total area= 72+12

= 84 cm^2

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

In this geometry, all of the right triangles are similar, so corresponding sides are proportional.

  short-side/short-side = long-side/long-side

  9/x = x/16

  x^2 = 144 . . . . cross multiply

  x = 12 . . . . . . . take the square root

Answer:

There are five fundamental rules that makeup algebra. They are as follows: Commutative Rule of Addition, Commutative Rule of Multiplication, Associative Rule of Addition, Associative Rule of Multiplication, Distributive Rule of Multiplication.

Step-by-step explanation: