10 to the 9th power?

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

if y=4.then 6(r+4).

which is 6r+24.

and if it is equal to zero which is like this then it will be 6r+24=0.

which will be 6r=-24.

r= -24/6.

r= -4.

Answer:

55

Step-by-step explanation:

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.

The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)

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Missing parts;

Which of the following statements is true for a function with equation f(x) = 5(3)*?

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.

The graph has y-intercept (0, 3) and increases with a constant ratio of 5.

The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

The answer of the given figure is ∠B = 72° and ∠C = 108°

In geometry, corresponding angles are pairs of angles that have the same relative position and the same degree of rotation, in two different geometric figures that are being compared.

More specifically, when two lines are crossed by another line, the angles on one side of the crossing line that are in the same relative position to each other (i.e., they are on the same side of the crossing line and are either both interior angles or both exterior angles), are corresponding angles.

According to question

∠CFE = 72°

In given diagram

DC ║ EF ║ AB and CB is transversal

∴ ∠CFE + ∠BFE = 180° ( Linear pair )

72° + ∠BFE = 180°

∠BFE = 180 - 72

∠BFE = 108°

∵∠DCF = ∠BFE ( Corresponding equal angle )

∠DCF = 108°

∠C = 108°

∠CFE = ∠B (  Corresponding equal angle )

72° = ∠B

∴∠B = 72°

Hence, the ∠B = 72° and ∠C = 108°

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Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

Answer:

EF = 34

Step-by-step explanation:

EF + FG = EG , substitute values

17x + 3x + 7 = 18x + 11, that is

20x + 7 = 18x + 11 ( subtract 18x from both sides )

2x + 7 = 11 ( subtract 7 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus

EF = 17x = 17(2) = 34

Answer:

34

Step-by-step explanation:

g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.

EF=17x, FG= 3x+7, EG = 18x+11

17x+3x+7=18x+11

Combine like terms.

20x+7=18x+11

-7          -18x

Isolate x.

2x = 4

Divide both sides by 2.

x=2

Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.

17x = 17(2) = 34

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4.

1pound =3.5

Answer: 3.5

Step-by-step explanation: it is 3.5 dollars because if you divide 14 by four it shows that one pound cost 3.5 dollars

Answer:

Bonnie is correct

Step-by-step explanation:

Ok so bonnie said to buy five shirts  so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.

Answer:

Susan is correct

Step-by-step explanation:

Answer: x = 1; y = 4

Step-by-step explanation:

2y + 5x = 13

2y - 3x = 5

To be able to use the elimination method, one of 2ys has to be negative

To do that, you multiply one of the equations by -1, you can choose anyone but I chose the second equation.

The system of equations now look like this:

2y + 5x = 13        2y + 5x = 13

(2y - 3x = 5) -1    -2y + 3x = -5

Now you add both set of equations together and get:

8x = 8

Divide both sides by 8

x = 1

Now that we know what x is, we can substitute using one of the equations to find y. I chose the first equation, 2y + 5x = 13

2y + 5x = 13

Substitute x for 1

2y + 5(1) = 13

2y + 5 = 13

Subtract 5 from both sides

2y = 8

Divide both sides by 2

y = 4

Does that help? Hopefully, it does! :3

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

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Answer:

4 square feet

Step-by-step explanation:

Area = Length * Width

64 = 16 * W.

W = 4.

So, 4 square feet.

Mark me as Brainliest if this is correct! I really appreciate it! :D

Answer:

I think its 50

Step-by-step explanation:

I got 16 × w less than or equal to 64. I added 16 on both sides and got x less than or equal to 50

ab +c= d

To solve for b;

First subtract c from both-side of the equation

ab + c - c = d-c

ab = d-c

Then divide both-side of the equation by a

Answer:

2

Step-by-step explanation:

plug in f(x)

19=8x+3

subtract 3 from both sides

16=8x

divide by 8

2=x

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Another statistical measurement the family can consider before deciding the home price would be mean home price in each town.

A dataset's mean is calculated by dividing the total number of values by the sum of all the values. The term "average" is frequently used to describe this measure of central tendency.

A data set's mean  is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data collection is called the mode.

Another statistical measure that the family might consider when deciding where to purchase a home is the mean home price in each town. The mean home price is the sum of all the home prices in a town divided by the total number of homes. It is a measure of the central tendency of the home prices in a town and can give the family a better idea of the overall range of home prices in each town.

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The shopkeeper will make a profit of £3.47 if someone buys 3 boxes of washing powder.

To calculate the profit made by the shopkeeper when someone buys 3 boxes of washing powder, we need to determine the selling price and subtract the cost price.

The shopkeeper purchased 16 boxes of washing powder for £24.

So, the cost price of each box is £24 divided by 16, which equals £1.50 per box.

The shopkeeper sells each box for £2.97, but there is also a special offer of 2 boxes for £5.

So, if someone buys 3 boxes, they would pay for 2 boxes at the special offer price and an additional box at the regular price.

Let's break down the cost for 3 boxes:

2 boxes at the special offer price: £5

1 box at the regular price: £2.97

The total selling price for 3 boxes would be £5 + £2.97 = £7.97.

To calculate the profit, we subtract the cost price from the selling price:

Profit = Selling Price - Cost Price

Profit = £7.97 - (3 \(\times\) £1.50)

Profit = £7.97 - £4.50

Profit = £3.47.

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Answer:

B

Step-by-step explanation:

A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.

The given equation is 15x^2 - 56 = 88 - 6x^2.

We need to find the values of x that are solutions to the given equation.

Solution: We are given an equation 15x² - 56 = 88 - 6x².

Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56  21x² = 144  

x² = 144/21 = 48/7

Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).

The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).

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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

Firstly, let's add 6x² to both sides of the equation as shown below.

15x² - 56 + 6x² = 88

15x² + 6x² - 56 = 88

Simplify as shown below.

21x² = 88 + 56

21x² = 144

Now let's divide both sides by 21 as shown below.

x² = 144/21

x² = 6.86

Now we need to solve for x.

To solve for x we need to take the square root of both sides.

Therefore, x = ±√(6.86).

Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

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Answer:

and then what?

Step-by-step explanation:

To calculate the probability of selecting more than 6 balls before getting the first red ball, we need to find the probability of selecting 7, 8, 9, or 10 white balls before getting the first red ball. The probability of selecting a white ball on the first draw is 20/30 or 2/3. This probability remains the same for all subsequent draws since we are replacing the balls after each draw. Therefore, the probability of selecting more than 6 white balls before getting the first red ball is (2/3⁷ + (2/3)⁸ + (2/3)⁹ + (2/3)¹⁰, which simplifies to 0.9122.

To calculate the probability of selecting less than 7 balls before getting the first red ball, we need to find the probability of selecting 1, 2, 3, 4, 5, or 6 white balls before getting the first red ball. The probability of selecting a red ball on the first draw is 10/30 or 1/3. Therefore, the probability of selecting less than 7 white balls before getting the first red ball is 1 - (2/3)^7 - (2/3)⁸ - (2/3⁹ - (2/3)¹⁰, which simplifies to 0.8683.

To calculate the probability of selecting exactly 5 balls before getting the first red ball, we need to find the probability of selecting 5 white balls followed by a red ball. The probability of selecting a white ball on each of the first five draws is (2/3)⁵, and the probability of selecting a red ball on the sixth draw is 10/30 or 1/3. Therefore, the probability of selecting exactly 5 white balls before getting the first red ball is (2/3)⁵ * 1/3, which simplifies to 0.0658.

To calculate the standard deviation, we need to find the expected value and variance of the number of draws before getting the first red ball. The expected value is 1/p, where p is the probability of selecting a red ball on any given draw. Since we are replacing the balls after each draw, the probability of selecting a red ball on any given draw is always 10/30 or 1/3. Therefore, the expected value is 1/(1/3) or 3. The variance is (1-p)/(p²), which simplifies to 2/p - 1/p². Plugging in p = 1/3, we get a variance of 6 - 9 or -3. Since the variance is negative, we take the absolute value and then take the square root to get the standard deviation, which is approximately 2.45.

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Answer:

D) AAA

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of angles in a triangle add up to 180

Triangle 1:

x + 2x + 30 = 180

⇒ 3x + 30 = 180

⇒ 3x = 180 - 30

⇒ 3x = 150

⇒ x = 150/3

⇒ x = 50

⇒ 2x = 2(50)

⇒ 2x = 100

x = 50°

2x = 100°

Triangle 2:

3x + 4x + 5x = 180

⇒ 12x = 180

⇒ x = 180/12

⇒ x = 15

3x = 3(15)

⇒ 3x = 45

4x = 4(15)

⇒ 4x = 60

5x = 5(!5)

⇒ 5x = 75

The angles are: 45°, 60° and 75°

Answer:

hi

Step-by-step explanation:

first of all,we should do this:

1 year is 12 month

amd 4 year is 48 month(12×4)

then we must add 2 months (wich is given) to 48

He was 50 months old when he started school

and we should find how old is he now

11 ×12=132months

132+1=133months

133-50=83 ( he has been 83 months in school)

let's turn it to years 6 years 11 months

( for finding years you should divide 83 to 12)

hope it helps

Answer:

375% of 336 = 1,260.00

Step-by-step explanation:

i hope it helps

Answer:

x= 89.6

Step-by-step explanation:

375% * x = 336

Multiply both sides by 100

336*100÷375

x= 89.6  

Hope this helped :)

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

Answer:

174 because 290 divided by 10 is 29 so then 29 times 6 is 174.

Hope this helped if not sorry.

Step-by-step explanation:

Answer:

174

Step-by-step explanation:

You see how many times 10 goes into 290 which equals 29. So take 29 and multiply it by 6 and that equals 174. Which means there will need to be 174 computers for the 290 students.

Step-by-step explanation:

To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .