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

-1/2x+2=-x+7 i need to know

Answers

[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]

[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]

[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]

[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]

[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]

[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]

[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]

[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]

[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7

[/tex]

I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!

Answers

Answer:

Im not sure. but isnt the answer 15

Step-by-step explanation:

Because to find the shaded amount you would do 3x5 and get 15.

Answer:

I'm not sure tbh but I'm pretty sure the answer is 15

Step-by-step explanation:

PLZZZ HELP< MY LAST ATTEMPT!

Answers

Answer:

A

Step-by-step explanation:

cos that's the midpoint

2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only

Answers

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.

Answers

Answer:

125 birr

Step-by-step explanation:

80%=100

1%=1.25

100%=125

Ok so I just need to match the letter with the definition but I don’t get it help please!

Answers

Answer:

m = slope  

b = y-intercept  

y = output  

x = input

y = mx + b

y2 - y1 / x2 - x1

Solve for I.
-30 = 5(x + 1)

Answers

Answer:

x or I=-7

Step-by-step explanation:

The ocean exploration institute has a submarine that is used to study patterns of fish moment the submarine started at the surface of the water and collected data at three different depths each time the submarine dove 40 feet down write an integer equation to model the situation and determine the lowest depth of the submarine

Answers

Answer:

120 feet

Step-by-step explanation:

Given that the submarine started at the surface of the water and collected data at three different depths.

As each time the submarine dove 40 feet down, so,

the depth covered in one dive = 40 feet.

From the surface, the depth covered in 1 drive, [tex]d_1= 40[/tex] feet

Similarly, the total depth covered in 2 drive, [tex]d_2 = 2\times 40= 80[/tex] feet.

So, for any integer [tex]n[/tex], the depth covered in [tex]n[/tex] drive,

[tex]d_n=40n[/tex]

This is the required integer equation to model the situation.

Since, for three different depths, there must be 3 drive and the submarine will be at the lowest depth after 3rd dive.

So, for the lowest depth, n=3

Hence, the lowest depth = 40x3= 120 feet.

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800

Answers

Answer:

The minimum cost for the transportation for the field trip is $1700

Step-by-step explanation:

Let x be the no. of large buses and y be the no. of small buses

Number of students in large bus = 60

Number of students in x large buses = 60x

Cost of 1 large bus =$300

Cost of x large buses = 300x

Number of students in small bus = 45

Number of students in y small buses = 45y

Cost of 1 small bus =$200

Cost of y small buses = 200y

Cost = 300x+200y

We are given that A school district needs to arrange transportation for at least 360 students

[tex]60x+45y \geq 360[/tex]

The district only has chaperones for, at most, seven buses.

[tex]x+y \leq 7[/tex]

Plot the lines on graph

[tex]60x+45y \geq 360[/tex] --- Black region

[tex]x+y \leq 7[/tex] --- Red region

Feasible points :

At(3,4)

Cost  = 300x+200y=300(3)+200(4)=1700

At(7,0)

Cost  = 300x+200y=300(7)+200(0)=2100

At(6,0)

Cost  = 300x+200y=300(6)+200(0)=1800

So, The minimum cost for the transportation for the field trip is $1700

Answer:

1700

Step-by-step explanation:

2020 edge

Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)

Answers

Answer:

The new coordinate of B' will be ( -1, 6)

The translated coordinate of the point B' will be (-1,6).

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,

B = ( 3, 0 )

Translated 4 units down and 6 units right,

B' = ( 3 - 4 , 0 + 6 )

B' = ( -1, 6 )

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Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000

Answers

Answer:

B.

Step-by-step explanation:

When you multiply the two decimals you get 376.74 which is closer to 360 than 400

Answer:
it's b
Step-by-step explanation:
I took the test

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.

Answers

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]

[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

V= 1/3lwh solve for w

Answers

Answer:

3V/l divide h

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

V = 1/3 lwh

The value of w is 3V/lh

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

V = 1/3 lwh

Multiply 3 on both sides.

3V = lwh

Divide both sides by lh.

3V / lh = w

w = 3V/lh

Thus,

V = 1/3 lwh

The value of w is 3V/lh

Learn more about expressions here:

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10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?

Answers

Answer:

45

Step-by-step explanation:

Male = 6          Male = ?

Female = 5      Female = 40

                                         ^

? = 6x5 because 5x5 = 40

In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?

Answers

Answer:

[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]

sin= opposite over hypotenuse

M is the midpoint of CF for the points C(3, 7) and F(5, 5). Find MF.

Answers

The midpoint of CF is (4,6) meaning that the points for MF are (4,6) and (5,5)

hey please help this is really important (first to answer i will give brainlyiest) after some else answers

Answers

Answer:

can u type out the question i cant see the photo i will help thou

Step-by-step explanation:

Answer:

29

-26

Step-by-step explanation:

the equation of f(x) is given. to find f(8) just apply 8 in the place of x in the equation

same method for f(-3) just apply -3 in place of x

4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=

Answers

Answer:

x=5

Step-by-step explanation:

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.

Hope this helps!

The solution is: The value of x is: x=5

Here, we have,

given that,

the expression is: 4x - 8 = 12

we get,

4x - 8 = 12

or, 4x - 8 + 8 = 12 + 8

or, 4x = 20

now, we have,

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.

i.e. 4x/4  = 20/4

or, x = 5

Also, if replace x with 5 within any of the equations it works.

Hence, The solution is: The value of x is: x=5

To learn more on Expression click:

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Please answer this :) have a good day

Answers

Answer:

Equation: [tex]\\[/tex]m + $37.07 = 55.29Solve: m = $18.22Solution: Brenda recieved $18.22 for her birthday.

Step-by-step explanation:

m + $37.07 = $55.29

$55.29 - $37.07 = $18.22

Hope this helps and pls do mark me brainliest if you can:)

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE

SHOW THE WORK BRO PLEASEEEE

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

If you can answer this question please do it as soon as you can.

Answers

Step 1 : Rewrite the problem ...
(3^8 x 2^ -5 x 9^0)^ -2 x (2^-2/3^3)^4 x 3^28

Any non-zero expression raised to the power of equals

Step 2:(3^8 x 2^-5 x 1)^-2 x (2^-2/ 3^3)^4 x 3^28

Step 3: (3^8 x 2^-5 x1)^-2 x 2^-8/ 3^12 x 3^28

Any expression multiplied by remains the same

Step 4 : (3^8 x 2^-5)^-2 x 2^-8/3^12 x 3^28

To raise a product to a power, raise each factor to that power

Step 5 : 3^-16 x 2^10 x 2^-8/ 3^12 x 3^28

Reduce the expression with

Step 6: 3^-16 x 2^10 x 2^-8 x 3^16

Calculate the product

2^2

Evaluate , and then your answer is 4!!!!





I need help with this

Answers

Answer:

a and d

Step-by-step explanation:

pls mark brainliest

Jeremiah is 68 inches tall. This is ten inches less than three times Kyle’s little brothers height. How tall is Kyle’s little brother?

Answers

38 inches tall, or 3 feet 2 inches

help me solve b=3x+9xy

Answers

Are you sure that’s the question?

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.

Answers

Answer:

Answer: The question is a multiple choice so it's A and C:)

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, COMEEE ON

Which statement must be true?

Answers

Answer:

The first option 3~=6

Step-by-step explanation:

The two angles are alternate interior which means the angles are congruent

Answer:

The first option.

That is true because <3 and <6 are vertical angles. You can test this by replacing <3 with angle <1, which are equal. Then you can see <3 is equal to <6. So the first option must be true.

Hope this helps.

quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

ABCD-AEFG

Step-by-step explanation:

PLEASE ANSWER WILL GIVE BRAINLIEST

You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)

Answers

Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]

Where;

E[R] = The expected return

[tex]R_i[/tex] = The return received in the instance i

[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

10 x = − 19 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

10/19

Step-by-step explanation:

Answer:

-19/10

Step-by-step explanation:

10x= - 19

divide 10 by each side to get -1.9

convert -1.9 to a fraction -1u9/10

then convert it to an improper fraction -19/10

hope this helps;)

Do yall know what 4 1/2÷6 is?

Answers

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

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