Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?

Answers

Answer 1

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)


Related Questions

8800000 in scientific notation

Answers

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.

Answers

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

                                           = 17.77

                                           ≈ 17.8 units

Area of the circle = πr²

                             = π(2√2)²

                             = 8π

                             = 25.13

                             ≈ 25.1 square unit

If MO=16x, MN=14x+20, then what is the length of NM​

Answers

Answer:

The length of NM would be -26 2/3.

Help plz!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

444.6 liters

Step-by-step explanation:

117*3.8

444.6

please help please solveit​

Answers

Not 100% sure but I think it’s d

The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone

Answers

The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

Describe Function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

To know more about number visit:

https://brainly.com/question/29766862

#SPJ1

3 + 15 + 3
- 4 2
I need help figuring this out

Answers

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   

Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?

Answers

Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:

Plz help me I’ll give brainliest!!

Answers

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

What is the area of this polygon?

Pleasee help mee

I will mark brainliest!

Answers

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

[tex]5(11)=55[/tex]

The triangle:

[tex]2(5)=10\\10/2=5[/tex]

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

Look at the angle shown below.
V.
Estimate the measure of the angle.

Answers

how is anyone supposed to answer this question when you don’t shown the angle

PLS HELP WITH THIS QUESTION

Answers

C would be the answer to this problem!

Answer:

I think C

Step-by-step explanation:

A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.

Answers

Answer:

60 and 72

Step-by-step explanation:

We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72

Geometric

Evaluate x/y when x=9/4 and y=3/5

Answers

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

TRUE OR FALSE
Angle BAH and angle DAG form linear pair.

Answers

Answer:

false

Step-by-step explanation:

The answer is TRUE ANGLE BAH AND ANGLE DAG ARE A FORM OF A LINEAR PAIR

Solve the equation. Identify any extraneous solutions.
h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

Answers

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

ft. = 4.8 yd.
How many feet is it

Answers

The answer is 14.4 feet

if triangle ocd ≅ triangle JAL, then which of the following statements are true?

Answers

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211

If 52 men can do a piece of work in 35 days in how many days will 28 men to it?

Answers

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

Just the last question thank you!!

Answers

Answer:

6 X 10^21

Step-by-step explanation:

I need help answer this Question!
-6+3(-4-2x)>=-16-6x

Answers

There is no solution for that problem....

Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?

Answers

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.

For each value of x, determine whether it is a solution to x - 42 = 7.​

Answers

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?

Answers

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Please help look at the screenshot

Answers

Answer:

Step-by-step explanation: 40 newtons to the right

Answer: 40 Newton’s

Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =

Answers

Answer:

The answer is 6.3 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]

We have the final answer as

6.3 units to the nearest tenth

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation:

(?)^2-3(?)=-2 can anyone solve this

Answers

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The

Answers

Answer:

27

Step-by-step explanation:

Given that:

Green shirt = 81 students

White shirt = 54 students

Orange shirt = 27 students

The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.

Factors of :

81 : 1, 3, 9, 27, 81

54 : 1, 2, 3, 6, 9, 18, 27, 54

27: 1, 3, 9, 27

The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27

Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.

Answers

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

Other Questions
To which groups do most of the unknown species belong? what is the difference between craft workers and common laborers Evaluate the following expression when x = -1, y = 2, z = -3, andw = 4.x - y In a criminal case, the prosecutor must prove the defendants guilt beyond a reasonable doubt, and in a civil case, the plaintiff must prove his case by a preponderance of evidence.True or False The graph of y = 4 StartRoot 2 x EndRoot is shown.On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).Which statement about the graph is accurate?The x-intercept of the graph is (4, 0).The graph has no y-intercepts.The maximum of the graph occurs at the y-intercept.The minimum of the graph occurs at the x-intercept. 2. La suma de los cuadrados de dos nmeros reales pares consecutivos es 52Encuentra los nmeros How did trade along the Silk Road affect China?A. It brought new religions to China.B. It led to the end of Confucianism in China.C. It convinced China to attack its neighbors.D. It made it easier for enemies to attack China.SUBMIT If a = 35, b = 3, c = 1, d = 5, which equality is true?A) da = bcB) ab = cdC) ba = cdD) ad = bc A pattern has 9 triangles and 30 squares on a piece of paper. What isthe ratio of triangles to squares? Find an element that has the samenumber of valence electrons asThallium (T1).i need the answer nowww Can yall answer this for me. 15 points and will mark as brainliest!!! ;) OriginalPointReflection OverThe y-axis(1,4) 1. A pile of boxes exerts a force of 500 newtons downward on the floor. The boxes are not in motion. What is the normal force on these boxes?2. Norman drags a stubborn dog by his leash with a force of 200 newtons. The dog is slowly moving towards Norman. What do you know about the force exerted by the dog?3. A baby grand piano sits in a music room. The piano exerts a force of 3500 newtons downward. Isaac tells his friends that he is strong enough to lift the piano off the floor. How much force will he have to use to lift the piano?4. Ms. Holt is dragging a box of assessments across the floor using a force of 70 newtons. The frictional force acting against the box is 50 newtons. What is the net force on the box?5. A bicycle is sitting motionless in the driveway. What is the net force acting on this bike?6. Maria drops a box that exerts of force of 300 newtons downward on a table. The normal force acting on the box from the table is 250 newtons. What will happen to the table and the box? What is the net force of the box?7. Anna is riding her bike, moving at a constant velocity of 3 miles per hour to the south. She is using 200 N of force to pedal her bike. A gust of wind blowing in the same direction she is traveling suddenly exerts a force of 20 Newtons on her. What will happen to her motion? (hint: Use the term accelerate OR decelerate in your answer.)8. Mrs. Fedde is riding her bike, moving at a constant velocity of 5 miles per hour to the north. She is using 300 N of force to pedal her bike. A gust of wind blowing in the opposite direction she is traveling suddenly exerts a force of 50 Newtons on her. What will happen to her motion? (hint: Use the term accelerate OR decelerate in your answer.) Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend What are some of the mineral resources found among the Caribbean Islands? 10. Which of the following does not represent anarithmetic sequence?A. -7, -3, 1, 5, 9...B. -64, -16, -4, -1...C. 0, 2, 4, 6...D. 3,-2, -7, -12... Given a 45-45-90 triangle with the hypotenuse measuring 57 feet. Which is the exact measure of each leg? Vanesss team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team? 25An annual report serves to analyze the number of supplies used and how many to order for the following year.2TrueFalse write valency of hydrogen and oxygen