The difference between consecutive prime numbers is always an even number, except for two particular prime numbers. What are those numbers?

Answers

Answer 1

2 and 3 would be the only two numbers that are the exception

Related Questions

What multiplication do you use to multiply 10 to the power of 4?

Answers

I think you mean this:

[tex]10^4=10*10*10*10[/tex]

what are the new coordinates for (1,4) when rotated 180 degrees and 90 degrees counterclockwise, and 90 degrees clockwise?

Answers

90 degrees counterclockwise and 90 degrees cancel each other out. The coordinates of the point are only reflected over the x-axis. The point becomes (1, -4).

Hope I helped :)

WHAT THE VALUE OF 12.5X10 7

Answers

12.5*107 =125,000,000 or 125 million. Actually, it should have been written as 1.25*108.

the answer is 133.75 i believe

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample

Answers

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

[tex]|AB|^2=|BC|^2+|AC|^2[/tex].

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

True

Contrapositive statement:

if The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex] then Triangle ABC is not a right triangle with m(C)=90°

True

Answer:

2022 na wala parin sagot?

Step-by-step explanation:

tsk tsk tsk
kawawi ka naman

PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION

Answers

The negative sign reflects the graph over the x axis.

When the a value is positive, the parabola has a minimum and opens up. However, when the a value is negative, the parabola is upside down in comparison. It open downward and has a maximum point instead.

Final answer: A

convert the 5th root of x^3 into a rational expression and explain the steps

Answers

The Answer is 5th root of x^3 into rational expression is x^(3/5).
fifth root of n is;
n^(1/5)
And when there is x^3, the fifth root is multiply 1/5 with 3
x^3(1/5)
= x^(3/5)
So, this is the rational expression to write x^3.

R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?

Answers

Q -------------R------------S

suppose this is your line,

R is the mid point

and it's given that

QR = 2x
and
RS = x+3

as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3

as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.

R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:

RS is 6 units.

Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.

Since R is the midpoint of QS, we know that QR is equal to RS.

Given that,

QR = 2x, and RS = x + 3,

we can set them equal to each other:

2x = x + 3

Now, let's solve for x:

2x - x = 3

x = 3

Now that we have the value of x, we can find RS:

RS = x + 3

RS = 3 + 3

RS = 6

So, RS is 6 units.

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How to solve quadratic inequalities algebraically?

Answers

Make the boundary points solid circles if the original inequality includes equality; otherwise, make the boundary points open circles.Select points from each of the regions created by the boundary points. Replace these “test points” in the original inequality.If a test point satisfies the original inequality, then the region that contains that test point is part of the solution.Represent the solution in graphic form and in solution set form.Example 1

Solve ( x – 3)( x + 2) > 0.

Solve ( x – 3)( x + 2) = 0. By the zero product property,

Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).

Select points from the different regions created (see Figure 2).

See whether the test points satisfy the original inequality.

Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.

Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.

The solution set form is { x| x < –2 or x > 3}.

Figure 1. Boundary points.Figure 2. Three regions are created.Figure 3. Solution to Example

Consider the trinomial below x^2-20x+91 The factors of the given trinomial are

Answers

x² - 20x + 91
x -13
x -7

your answer is (x - 13) (x - 7)

hope this helps

the answer is (x-7)(x-13)

hope it helps

Which of the following statements is not true?

The sum of two positive numbers is always positive.
The product of two negative numbers is always positive.
The sum of two negative numbers is always negative.
The quotient of two negative numbers is always negative.

Answers

Answer:

The false statement is d; the quotient of two negative numbers is always negative.

The false statement is The quotient of two negative numbers is always negative.

What are integers?

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

First, The sum of two positive numbers is always positive.

The statement is true.

For example, +3 + (+6)= +9

Second, The product of two negative numbers is always positive.

The statement is true.

For example, (-3) x (-6) = +18 { (-) x (-) = (+)}

First, The sum of two negative numbers is always negative.

The statement is true.

For example, -3 + (-12)= -3 - 12 = -15

First, The quotient of two negative numbers is always negative.

The statement is false.

For example, -9/(-3)= +3

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Which fraction has a value that's equal to 7/8

Answers

multiply both numbers by the same number

so multiply by 2 you get 14/16

multiply by 3 you get 21/24

and so on

Divide 3x2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
x + 3x/3x - 3

x + 1 + 9/ 3x - 3
x - 9x/ 3x - 3

Answers

[tex] \frac{3 x^{2}+6}{3x-3}=x + \frac{3x+6}{3x-3} = x + 1 + \frac{9}{3x-3} [/tex]

[tex] \frac{3 x^{2}+6}{3x-3}= x + 1 + \frac{9}{3x-3} [/tex]

The requried value of the given expression is (x² + 2)/x - 1.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1

Thus, the requried value of the given expression is (x² + 2)/x - 1.

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simplify (8x3-5x-1)-(7x2+6x-10)

Answers

(24x-5x-1)-(2x+6x-10)
(19x-1)-(8x-10)
19x1-8x+10
11x+9

List the sides of each triangle from shortest to greatest

Answers

In every triangle, the largest side, is opposite the largest angle.

Also, the smallest side, is opposite the smallest angle.

a.[tex]70^o\ \textgreater \ 60^o\ \textgreater \ 50^o[/tex] so [tex]|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|[/tex],

because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.

Greatest side: RQ

b. The sum of the measures of the interior angles of any triangle is 180°,

so

[tex]m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o[/tex]

thus, m(C) is the largest angle. This means the largest side is the side AB.

Answers:

a) RQ
b)AB

A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans.You decide to buy 3 packages of 10 cans. How much do you pay for each can?

Answers

One dollar and 68 cents per can

Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1

Answers

vertical lines have undefined slopes

Slope is Undefined because it's just a vertical line and it's not angled...

F(x) =8+2x and g(x) =1/2x the value of f/g(5)

Answers

hello :
(f/g)(5) = (f(5))/(g(5)) = (-8+2(5))/((1/2))(5) = 2/(5/2)
(f/g)(5) = 4/5

A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?

Answers

to only make 1/3 of the recipe you would divide all ingredients by 3 or multiply by 1/3, same thing.

Convert 2 1/4 to single fraction first
9/4 * 1/3 = 9/12 = 3/4 cup sugar

What is the area of this shape ?

Answers

12 *16 = 192

1/2 *20*10 = 100

192 +100 = 292 square units

A particular Egyptian pyramid is 22 feet tall, but the length across the base is unknown. There is a scale model of the pyramid that is 2 feet tall, and it has a base length of 1.3 feet. What is the base length of the actual pyramid?

Answers

22/2=11
11*1.3=14.3
the length across the base is 14.3

Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?

Answers

ratio of points first gamed to second game = 1:6
Total points is 35 so she scored 1/7 of 35 = 5 points in first game and 30 points in the second.

Answer 30 points

Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 and 1 / 3 signs. they all come to work the first day, but barry doesn't like the job and quits after 3 hours. bob works half an hour longer than barry and quits. how long will it take bill to finish 2 signs they were supposed to paint?

Answers

Define rates at which the individuals paint.
Bill: x = 1/8 signs/h
Bob: y = (2 signs)/(8 h) = 1/4 signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h

The job is to paint 2 signs, working together.

In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs

Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs

Now Bob quits.
The time for Bill to finish the job is
(3/16 signs)/(1/8 signs/h) = 3/2 h

Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes)

It will indeed take Bill 1.5 hours to finish the remaining [tex]$ \frac{3}{16} $[/tex] signs.

Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.

Barry's work in 3 hours:

[tex]$3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}$[/tex]

Bob's work in 3.5 hours:

[tex]$3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}$[/tex]

Bill's work for the same time until Bob leaves (3.5 hours):

[tex]$3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}$[/tex]

Total work done by all three in the first 3.5 hours:

[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]

Remaining work to be done:

[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]

Time for Bill to complete remaining work:

Bill’s rate: [tex]$ \frac{1}{8} \text{ signs per hour}$[/tex]

Time to paint [tex]$ \frac{3}{16} \text{ signs}$:[/tex]

[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]

Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]$ \frac{3}{16} $[/tex] signs. This confirms that the correct answer is 1.5 hours.

Rewrite 56 + 32 as the product of the GCF and a sum.

Answers

56 + 32 = 8(7 + 4)

hope it helps

Final answer:

To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.

Explanation:

To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.

Next, we divide both 56 and 32 by the GCF to find the other factor:

56 ÷ 8 = 7

32 ÷ 8 = 4

Now, we represent the original sum as the product of the GCF and the sum of the results from the division:

56 + 32 = 8 × (7 + 4)

When we simplify the sum inside the parentheses, we get:

8 × 11

Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.

It takes nim 2 2/3 hours to weave a basket. He worked Monday through Friday , 8 hours a day. How many baskets can he make?

Answers

he worked Monday thru Friday...thats 5 days....for 8 hrs a day.....thats (5 * 8) = 40 hrs

40 / (2 2/3) =
40 / (8/3) =
40 * 3/8 =
120/8 =
15 <=== he made 15 baskets

Answer:

15 baskets

Step-by-step explanation:

In order to solve this question, first we need to know the amount of hours that Nim was able to work.

If Nim worked Monday through Friday, 8 hours a day, then:

Monday to Friday = 5 days

1 day = 8 hours

5 days * 8 hours = 40 hours

Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:

40 / (2 2/3) =

40 / (8 /3) =

40 * 3/8 =

120/8 = 15

Train passes through appleton station every 20 minutes how many trains pass through

Answers

For the purpose of showing the solution to this item, we let the basis in which we are to determine the number of trains that passed through be 1 day. That being said, we convert 1 day to number of minutes by using the correct conversion factor and dimensional analysis as below.

(1 day)(24 hours/1 day)(60 minutes/1 hour) = 1440 minutes

Then, divide the calculated number of minutes by 20.

number of trains = 1440 minutes x (1 train / 20 minutes)
number of trains = 72 trains

Answer: 72 trains

I can't do this and it's urgent

Answers

(for the first question) False, because sometimes when a number ending in 6 is halved, the last number can be an 8. For example, 56 halved is 28.

(for the second one) False; not all numbers ending in 3 are prime since some numbers like 63 have factors of 3 and 21.

I agree with the first answer

What is 1/4 (5y-3)+1/16 (12y+17

Answers

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

y = 0.15625

Number 1. Write an explicit formula for the nth term. Correct answer will get brainliest

Answers

Since the 11th term is 78 and the difference is -9, that means when we go down terms we add 9 and if we go up terms we subtract 9. Since 11-1=10, we can multiply 9 by 10 to get 90 and add that to 78 to get 168 as our first term. Since we subtract 9 for every number from there, we can have 168-9(n-1). We have n-1 due to that the first term is 168, and we want to subtract 9 from each one. If we had it as 168-9n, the second term would be 168-18 when it should be 168-9. We can also add 9 to 168 to get 177 and have it as 177-9n due to that we start at the 0th term. This works due to that we are multiplying -9 by the nth value and adding that to 177

The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.

A. No, it is not a rectangle because the diagonals are congruent.
B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C. Yes, it is a rectangle because the diagonals are congruent.
D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Answers

Answer:

(B)

Step-by-step explanation:

From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).

Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.

Which names are correct for PM−→− ?

Select each correct answer.

PY−→−

MP−→−

TM−→−

PT−→−

Answers

A non-arrowed line or double arrowed line segment can be named either ways of the points.
Therefore, another name for PM is angle MP.

The answers are PT−→− and PY−→−

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