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

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

Answers

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

Find the range of this function

Answers

{1,3, 4,5, 3,4 and 5,6} but I’m not sure.

For three consecutive plays, the Patriots gained
12 yards per play. On the next play, they lost 5
yards. What is the change in field position for
these four plays?

Answers

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

Sam is seven times as old as Tim.If Sam is 42 how old is Tim?

Answers

Answer:6 because 42/7=6

Step-by-step explanation:

Graph a line that contains the point -6,1 and has a slope of 5

Answers

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

y=5x+31 is the equation. This image is the graphed version of that. I hope this helps!

What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?

Answers

Answer:

y=1/3-1 ...............

The rent of a bowling lane is $25 for 5 minutes.
How much per minute?

Answers

Answer:

5 dollars

Step-by-step explanation:

27. Which ordered pair fits the function h(x) = x2 + 3 ?
A) (3,9)
B) (2,4)
C) (-3,12)
D) (-2,-1)


B
С
D

Answers

I think it’s A because if you do 3 x 2 = 6 and if you do 6+3 it make 9

Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?

Answers

Answer:

0 n=11

Step-by-step explanation:

1. Distribute

+1=4(−8)

2. Subtract 1 from both sides of the equation

+1=4−32

+1−1=4−32−1

3. Simplify

=4n−33

4. Subtract 4 from both sides of the equation

=4−33

−4=4−33−4

5. Simplify

−3=−33

6. Divide both sides of the equation by the same term

−3=−33

-3n/-3=-33/-3

7. Simplify

=11

In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.

Answers

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]

write a situation to represent the equation y=0.5x

Answers

Answer:

John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?

Pretty simple, hopefully it is good enough, hope this helps!

A line's equation is a unified representation of all of the line's points.

Find the equation of the line pass though origin and slope 1/2 ?

What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

To learn more about : Equation of a line.

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Find the quotient.
(Idk what it means I’m kinda confused)

Answers

Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

Figure out what x and y are. Please explain well!

Answers

Answer:

(2y+50)+(7x-248)=180    (solve for x and y)    supplementary angles add up to 180 and these two angles are supplementary complements

(5y-17) + (x+44) = 180   (solve for x and y)

Step-by-step explanation:

Pls help dont lie
Or else I get wrecked

Answers

Answer:

19.20

Step-by-step explanation:

P.S im not a genius

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Plug in what you know so: 45+15(6-1)

So, following the order of operations, you do the parentheses first so: 45+15(5)

Then, still following the order of operations, you'd multiply from left to right. So: 45+75

Then, you add from left to right, so you get 45+75=120

Your answer is 120.

PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Answer:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Please help. I'm desperate!!!!!!!!!!!

Answers

Help with what? If there was an image I can’t see it

What is the equation of the line that passes through the points (-4, 2) and (12,6)?

Answers

Answer:

y=0.25x+3

Step-by-step explanation:

HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24

Answers

Answer:

5:20 3:12

Step-by-step explanation:

The first number is 1/4 the size of the second number, hence thise being correct.

Which of the following is equivalent to 6-3?

A
-1/216
B
216
C
-216
D
1/216

Answers

Answer: Im not sure if this is correct I just need points. B

Step-by-step explanation:

Option D is correct,  1/216 is the equivalent expression of 6⁻³ .

The given expression is 6⁻³.

Six to the power of minus three.

We have to find the equivalent expression.

Equivalent expression are expressions whose value is same but looks different.

6⁻³ can be written as 1/6³.

1/6×6×6

1/216.

Hence, 1/216 is the equivalent expression of 6⁻³ .

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Write a sentence as an equation using the given information in each problem.

1. Write the sentence as an equation.
the product of 371 and ​d​ is the same as 52

2. Write the sentence as an equation. n​ decreased by 320 is equal to 139

3. Write the sentence as an equation. 317 is equal to ​k​ plus 110

4. Write the sentence as an equation.
the total of 374 and ​k​ is the same as 305

5. Write the sentence as an equation. 398 is the same as ​d​ plus 6

Answers

Answer:

1. 371 × d = 52

2. n - 320 = 139

3. 317 = k + 110

4. 374 + k = 305

5. 398 = d + 6

Step-by-step explanation:

1. 371 × d = 52

d = 52/371

d = 0.14016172506

2. n - 320 = 139

n = 139 + 320

n= 459

3. 317 = k + 110

k = 317 - 110

k = 207

4. 374 + k = 305

k = 305 - 374

k = -69

5. 398 = d + 6

d = 398 - 6

d = 392

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answers

Answer:

The answer is 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

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

From the question the points are

(10,-4) and (6,-16)

We have

[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]

We have the final answer as

3

Hope this helps you

Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m

Answers

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

PLEASE HELP !!!!!!!!!!!! ASAP
If set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is​

Answers

Step-by-step explanation:

AuB={3,4,7,9}U{8,9,10,11}

A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?

Answers

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.


Match the side and angle measures of each triangle to its correct classification.

Answers

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

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PLEASE HELP I AM BEING TIMED.

A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?

Answers

the answer is in the question. it says 2 sides lengths of 20 in. and 1 side of 28 in.
um uh. it might be- well shii- probably- maybe- um well..

Please help me I really need it this is due ASAP I will give you 16 points

Answers

No, the coordinates can not be the solution to find the answer. I know this because to find a slope-intercept equation you would need to have 2 coordinates. You would need 2 coordinates to first find the slope of the equation (m) in the equation y=mx+b.

Yes plug in (12,9) to the equation

9=1/4(12)+6 which is true

NEED HELP ASAP PLEASE.

Answers

Step-by-step explanation:

true i think i think its true

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