A composite number can be written as the product of prime numbers

Answers

Answer 1
A composite number is one that has other factors besides 1 and itself.
Since it is not prime, it has a prime factorization, making this statement true.

Final answer: True

Related Questions

23,569 pennies rounded to nearest ten thousands

Answers

since the thousands place is a 3 which is lower than a 5

 it would be rounded to 20,000

Answer:

Nearest ten thousands 20000,

Step-by-step explanation:

Given  :23,569

To find : Rounded to the nearest ten thousands

Solution: We have given that 23,569

We can write it as 23,569

Step 1 : Identify the ten thousands digit 2 in 23,569

Step 2: Identify the next smallest place value 3 in 23,569

Step 2: We can the digit less  than five, so it would be rounded down

Step 3 : The ten thousands remain same   and Every digit after becomes a zero.

Step 4 : Number become 20000.

Therefore,  nearest ten thousands 20000,

solve the following formula for x
y=2mx+9b

Answers

I think the answer is y-9b / 2m = x

To solve the equation y = 2mx + 9b for x, subtract 9b from both sides, and then divide by 2m. The result is x = (y - 9b) / (2m). This manipulation is emblematic of solving linear equations which are foundational in algebra.

The student is asking to solve the linear equation y = 2mx + 9b for the variable x. This type of problem involves algebraic manipulation to isolate the variable of interest. Here are the steps to solve for x:

Subtract 9b from both sides of the equation: y - 9b = 2mx.Divide both sides by 2m to solve for x: x = (y - 9b) / (2m).

In this case, y is the dependent variable, m is the slope of the line, and b would be the y-intercept if this equation were graphed on a coordinate plane. To better understand this concept, let's take the specific equation y = 9 + 3x as an example which is a linear equation with b set to 9 and m set to 3.

To visualize this equation, one can construct a table of values by selecting various x values and calculating the corresponding y values. Then, these points are plotted on a graph to show the linear relationship. This process is depicted in Table A1 and Figure A1, with the equation illustrated in a graph.

The general form of a linear equation is y = mx + b, where m represents the slope and b the y-intercept. In these exercises, understanding and manipulating this form helps us find relationships between variables and understand how changes in one variable affect another.

The width of a rectangle is 3 inches less than twice the length. If the length of the rectangle is represented by L, write an algebraic expression to represent the width

Answers

Since the only number is 3 multiply all sides by 3

The width of the rectangle is 3 inches less than twice the length, which is represented by L. The algebraic expression for the width is W = 2L - 3.

The width of a rectangle is described in the problem as being 3 inches less than twice the length of the rectangle. If the length of the rectangle is denoted by L, the algebraic expression to represent the width (W) can be written as:

W = 2L - 3

To clarify, this expression means that whatever the length L is, you would double it (that's the 2L part), and then subtract 3 inches to find the width of the rectangle.

Convert 10 centimeter to inches

Answers

3.93701 about 4 inches
The answer is approximately 3.94 inches. I hope this helps love! :)

All the digits are odd. The last two digits add to make ten. The first and last digits add to make eight. The first two digits add to make twelve. What is the number?

Answers

5773 is your answer , because the first and last digits add up to eight and the odd numbers i chose were 5 and 3 , the last two equal ten and i chose 7 and 3 , the first two equal 12 and i chose 7 and 5 .... All of the nummbers are odd (5773)

The number that fits all the given criteria is 3955, where all digits are odd, the last two add to 10, the first and last to 8, and the first two to 12.

To find a number where all digits are odd, the last two digits add up to make ten, the first and last digits add up to eight, and the first two digits add up to twelve, we can use a process of elimination and reasoning.

The last two digits must be 5 and 5 because these are the only odd digits that add up to 10.The first and last digit must be 3 and 5 respectively because these add up to 8.Since the first digit is 3 and we need the first two digits to add to 12, the second digit has to be 9.

Therefore, the number is 3955.

To the nearest ten thousand , the population of Vermont was estimated to be about 620,000 in 2008. What might have been the exact population of Vermont in 2008?

Answers

Since to round it up, you need the number after it 5 or above, to round 610000 and some more to 620000 you'd need the number after 1 to be 5 or more and therefore could be 615000.

The statement given is

  The population of Vermont was estimated to be about 620,000 in 2008.

Exact population of Vermont in 2008

                   = 615,000 ≤ A number between ≤ 620,000

                    =[615000, 620000]

Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is current, and Z is a value known as impedance. If V = 1+i and Z=2-i, find I. Please do this quickly!!

Answers

[tex]V=IZ\\\\1+i=I\cdot(2-i)\quad|:(2-i)\\\\\\I=\dfrac{1+i}{2-i}=\dfrac{(1+i)(2+i)}{(2-i)(2+i)}=\dfrac{2+i+2i+i^2}{2^2-i^2}=\dfrac{2+3i-1}{4-(-1)}=\dfrac{1+3i}{5}\\\\\\\\\boxed{I=\frac{1+3i}{5}=\frac{1}{5}+\frac{3}{5}i}[/tex]

Final answer:

The current I in the AC circuit equation V = IZ is found by complex division and is equal to 1/5 + 3/5i when V = 1+i and Z=2-i.

Explanation:

To find the current I in the equation V = IZ where V = 1+i and Z=2-i, we need to solve for I using complex division. This process involves conjugating the denominator and then performing standard multiplication of complex numbers.

Step-by-step solution:

Write down the given values in the equation: V = 1+i, Z = 2-i.Use the formula I = V / Z.Conjugate the denominator Z, which gives 2+i.Multiply the numerator and denominator by the conjugate of the denominator:So, I = (1+i) * (2+i) / ((2-i) * (2+i)).Simplify both numerator and denominator: numerator becomes 2 + 3i + i^2, and the denominator becomes 4 - i^2.Substitute i^2 with -1 and simplify: numerator becomes 2+3i-1, and the denominator becomes 4+1.The final result is I = (1+3i) / 5.Divide both the real and imaginary parts by 5: I = 1/5 + 3/5i.

Therefore, the current I is 1/5 + 3/5i.

what is 3×4-14+4=? It's one of my math class questions

Answers

3×4-14+4

= 12 - 14 + 4

= -2 + 4

= 2

This is step by step

Remember about Pemdas

Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container

Answers

divide the total gallons by the number of containers

40.8 / 8 = 5.1 gallons each

hi! There is 5.1 gallons of paint in each container. 


40.8/8= 5.1 
Check: 
5.1 x 8= 40.8

Hoped I helped!Dawn

solve
P=a+b-8
what is a=

Answers

Move the variable to the left side and change the sign
Then change the signs of both sides of the equation
A= -b+8+p

What is the remainder of 21 divided by 4

Answers

21 ÷ 4 = 5 with a remainder of 1.

5 × 4 = 20

21 - 20 = 1

If you keep going despite the remainder, you will get 5 1/4. However, you need not do this if you only want the remainder.

1 is the remainder of 21 divided by 4

What is Division?

A division is a process of splitting a specific amount into equal parts.

The number which is getting divided here is called the dividend.

21 is the dividend.

The number which divides a given number is the divisor.

4 is the divisor

And the number which we get as a result is known as the quotient.

The divisor which does not divide a number completely produces a number, which is referred to as remainder.

21 ÷ 4 = 5 with a remainder of 1.

Hence, 1 is the remainder of 21 divided by 4

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Jed has 25 toy cars. Kai has 32 you cars. Ken has fewer cars than either Jed or Kai. How many cars might Ken have?

Answers

7, because you can do 32-25 which be less than 25

The possible range of numbers of cars Ken might have is 0 ≤ Ken ≤ 24.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Jed has 25 toy cars.

Kai has 32 you cars.

Since Ken has fewer cars than either Jed or Kai, the maximum number of cars Ken could have is 24 (if both Jed and Kai give him one car each).

The minimum number of cars Ken could have is 0 (if both Jed and Kai have more cars than Ken).

So the possible range of numbers of cars Ken might have is 0 ≤ Ken ≤ 24.

Hence,  the possible range of numbers of cars Ken might have is 0 ≤ Ken ≤ 24.

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pls help i need this done NOW!!!
#14 and #15 a. and b.
pls show work!!

Answers

To me, it seems like 14 is just telling u something.....and 15. a)30% b)75%

hope this helps :)

Answer:

Step-by-step explanation:

To me, it seems like 14 is just telling u something.....and 15. a)30% b)75%

hope this helps :)

3 (4g + 6) = 2 (6g + 9)

Answers

Infinitely Many Solutions 
SOLUTION:

3 ( 4g + 6 ) = 2 ( 6 g + 9 )

12g + 18 = 12g + 18

12g - 12g = 18 - 18

g = 0

Hope this helps! :)

Does this graph show a function?

Answers

A. The graph fails the vertical line test. For a given x, there are two possible y values and a function should only have one y value.
A this is not showing a function

you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.

Answers

The answer would be 3 to the power of 4, to get 81.

I hope this helps! :>

The height of the tallest model is 81 cm and the model is  [tex]y ( x ) = 3^x[/tex].

Given data:

Let x be the height of the tallest model.

According to the information given, the height of each model is three times the height of the previous model.

So, represent the heights of the models as and exponential model where [tex]y ( x ) = 3^x[/tex].

1st model: 3 centimeters (3 cm)

2nd model: 3 times the height of the 1st model = 3 * 3 cm = 9 centimeters (9 cm)

3rd model: 3 times the height of the 2nd model = 3 * 9 cm = 27 centimeters (27 cm)

4th model: 3 times the height of the 3rd model = 3 * 27 cm = 81 centimeters (81 cm)

So, the height of the tallest model can be represented as:

x = 81 centimeters

Hence, the height of the tallest model is 81 centimeters.

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Use addition to solve the linear system of equations. 2x+y=5 3x+2y=4

Answers

2x+y=5 -------- eq 1
3x+2y=4 -------- eq2

now, multiply eq1 with -2
-2(2x+y=5)
== -4x-2y=-10-----------eq 3
 
Add eq2 and eq3,
(3x+2x)+(-4x-2y)= 4+(10)
3x+2y - 4x-2y = -6
Cancel +2y and -2y we get,
3x-4x=-6
-x=-6 
therefore, x=6

Substitute value of x in eq1, 2x+y=52(6) + y=52(6) + y=512+y=5
y=5-12=-7

 x=6 and y=-7y

Suppose that alexi spent all 20 hours of his time on street tacos and tony spent 17 hours on cuban sandwiches and 3 hours on street tacos. combined they would produce a total of ______________ tacos and ______________ cuban sandwiches.

Answers

Given that Alexi and Tony own a food truck that serves only two items, Street tacos and Cuban sandwiches, given that Alexi can make 80 street tacos per hour but only 20 Cuban sandwiches and Tony can make 100 street tacos or 30 cuban sandwiches.

Suppose that alexi spent all 20 hours of his time on street tacos, he will make a total of 20 x 80 = 1,600 street tacos and tony spent 17 hours on cuban sandwiches and 3 hours on street tacos, he will make a total of 17 x 30 = 510 cuban sandwiches and a total of 3 x 100 = 300 street tacos.

Combined they would produce a total of 1,600 + 300 = 1,900 street tacos and 510 cuban sandwiches.

Answer: 1,900 street tacos and 510 Cuban sandwiches.

Explanation:

Alexi=20*80=1,600

Tony = 17*30=510   3x00 = 300 street tacos

1,600 + 300 = 1,900 street tacos and 510 Cuban sandwiches.

Solve for a 6(a+3)=18+6a

Answers

Expand

(6a + 18 = 18 + 6a)

Cancel 6a on both sides

(18 = 18)

Since both sides are equal, there are infinitely many solutions.

The equation 6(a+3) = 18+6a is an identity after canceling out like terms on both sides, which implies that the solution for 'a' is all real numbers.

To solve for a in the equation 6(a+3) = 18+6a, we begin by expanding the left side of the equation:

6a + 18 = 18 + 6a

We notice that there are terms on both sides of the equation that can be cancelled out. The 6a on the left side can be subtracted from both sides, as well as the constant 18.

After cancelling out these terms, we are left with:

0 = 0

This equation suggests that the original equation is an identity, meaning that the value of a can be any real number, as the original equation holds true for all values of a.

Pythagoras was born about 582 BC. Isaac Newton was born in 1643
AD. How many years apart were they born.?

Answers

2,225 years apart.
You have to add the two numbers because BC or BCE is 582 years before the common era. 1643 is 1643 AD.
If you were to draw a number line, it would be like so...
|-------582-------------|-------------------1643-------|
^BC or BCE^ ^AD^
The space between them add up to 2,225 years apart.
Sorry if I wasn't clear. Hope it was helpful though.

5.14 grater than 5.041

Answers

Correct. 5.14 is greater than 5.041 because the tenths place is greater.

Hope this helps!
5.041 is greater than 5.14

A square kitchen floor has an area of 123 square feet estimate the length of one wall to the nearest tenth of a foot

Answers

area=side^2
123ft²=side^2
square root both sides
estimate
hmm

12²=144
11²=121
so somewhere above 11 but below 12
so like 11.1 (it's 11.09 so rounded it is 11.1)


11.1ft

area of a square = S^2

 S^2 = 123

S = sqrt(123)

S = 11.0905

 rounded to nearest tenth = 11.1 feet


Which shows the first step in the solution to the equation log2x + log2(x – 6) = 4?

Answers

Answer:

The first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]

Step-by-step explanation:

Given the equation:  [tex]\log_2 x + \log_2 (x-6) = 4[/tex]

Using logarithmic laws;

[tex]loa_b x + \log_b y = \log_b (xy)[/tex]

then;

[tex]\log_2 x(x-6) = 4[/tex]

Therefore, the first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]

Answer: log2(x(x-6))=4.

Step-by-step explanation:

What is -7 5/12 written as a decimal

Answers

-7.41667

hope this helps
0.416666667 I hope this answer helps

Josiah went to the local barber to get his hair cut. It cost $18 for the haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip

Answers

The total cost of the haircut including the tip is $20.70. 18*15%=2.70+18=20.7.

Hope this helps:)

Answer:

$20.70

Step-by-step explanation:

Turn the % to a decimal.

15%= 15/100 = 0.15

Multiply the total and decimal.

18.00 x 0.15

= 2.70

Add the total to the sum.

18.00 + 2.70

= 20.70

(hope it helped please vote and say thanks <3)

Find the slope and y-intercept of the following line

-7x+7y=-17

Answers

To find these two lets convert this into slope-intercept form:

-7x + 7y = -17
7y = 7x -17
y = x - 17/7

So, the slope is 1 and the y-intercept is -17/7

Hope this helps!

How do u write 1.2 as a fraction

Answers

split the number into its whole number component and decimal component.

for the decimal component, 0.2 is the same as 2/10

Find the GCF of both 2 and 10 and that would be 2

divide both the numerator and denominator by the GCF 

simplify and you get 1/5

Lastly combine the whole number component with the fraction and your answer would be 1 1/5.

find the Factor of 6x 2 - 17x + 5.

Answers

6x² -17x +5 = (6x² - 2x) - (15x + 5)    (factoring by grouping)

2x (3x -1) - 5(3x - 1)   


(2x -5) (3x - 1) is your final answer

hope this helps

Answer:

Step-by-step explanation:

[tex]6x^2-17x+5[/tex]

This can be written as

[tex]6x^2-15x-2x+5[/tex]

Because -15-2=-17 and also (-15)(-2)=30

so now we have two pairs

[tex](6x^2-15x)+(-2x+5)[/tex]

Take out GCF from each pair

[tex]3x(2x-5)-1(2x-5)[/tex]

since (2x-5) is now the common factor so final factored form

[tex](3x-1)(2x-5)[/tex]

At the end of a party, 3/4 cup of dip is left. Jim divides 4/5 of the leftover dip equally between 2 friends. How much dip does each friend get?

Answers

First, we need to find the amount of dip that was divided amount the two friends.

We know that it is 4/5 of the left dip 
therefore:
amount divided among the two friends = (4/5) x (3/4) = 3/5 of the original amount of dip.

This amount is divided among two friends,
therefore:
amount that each friend gets = (3/5) / (2) = 3/10 = 0.3 of the amount of dip
Final answer:

To answer the question, first, multiply the total leftover dip by the portion that Jim divided. Then, divide this result by the number of friends. Therefore, each friend gets 3/10 of a cup of dip.

Explanation:

The subject of this question clearly falls under the category of Mathematics, more specifically, the concept of fractions. The problem here is to find out how much dip each friend gets if 4/5 of the 3/4 cup of leftover dip is divided equally between two friends.

To solve this, we need to perform multiplication of fractions, and then division by the number of friends. Step 1: Multiply 3/4 (leftover dip) by 4/5 (portion that Jim divided). Doing this, we get (3/4) * (4/5) = 12/20, which simplifies to 3/5 cup. This is the amount of dip Jim divided.

Step 2: Divide this result by 2 (number of friends). So, (3/5) / 2 = 3/10. Hence, each friend gets 3/10 of a cup of dip.

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Graph the function -2x+5y=10

Answers

An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

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