The 6-digit number 789ABC is divisible by 7, 8, and 9, and all of its digits are distinct. What is the 3-digit number ABC?

mitosis

Mitosis is a process where a single cell divides into two identical daughter cells (cell division). During mitosis one cell. divides once to form two identical cells. The major purpose of mitosis is for growth and to replace worn out cells.

Answer:

mitosis

Step-by-step explanation:

Answer:

Is it hershey

Step-by-step explanation:

The two numbers are "30"

Step-by-step explanation:

Well 30 goes into 90 two times

(90 / 30)

30 and 30 make 90

(30 + 30 or 30 * 2 = 90)

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

Answer: To solve for x in the equation x/9 = 7/15, we can cross-multiply to get:

15x = 9 * 7

Simplifying the right side, we get:

15x = 63

To solve for x, we can divide both sides by 15:

x = 63/15

Simplifying the fraction on the right side, we get:

x = 4 3/5 or x = 4.2 (rounded to one decimal place)

Therefore, the solution to the equation x/9 = 7/15 is x = 4.2 or x = 4 3/5.

Step-by-step explanation: kinda easy ngl lol but hope this helps :D

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer:

Step-by-step explanation:

      7

2

Decimal Form:

3.5

Mixed Number Form:

3

12

Answer:

90

Step-by-step explanation:

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

b) Because it REFLECTING which means that is going across

Answer:

D is correct

Step-by-step explanation:

because the ponit started in quadrant 1 and the only thing that could change is the y-axis and the y-axis aloney went down and quadrant 4 is the only quadrant above 1 so that the answer

Answer:

46666

Step-by-step explanation:

Answer:

we get y = 3 x = 4

Step-by-step explanation:

so we have to cancel one out we'll use u

mutiply top by -2 to everything

add all the numbers and we get -5x=-20 multiple by -1

then divide both sides by 5

x=4 then use that and input it in any of the two beginning equations

x(4) +2y = 10

4 + 2y = 10 -4

-4

2y=6

y=3

To determine the annual interest rate paid, we need to calculate the simple interest for one month and then convert it to an annual rate.

The formula for simple interest is:

Simple Interest = Principal × Rate × Time

In this case, the principal amount is $720, and after one month, you pay back a total of $1272. Therefore, the interest paid is:

Interest = $1272 - $720 = $552

We can now calculate the monthly interest rate:

Rate = Interest / Principal = $552 / $720 ≈ 0.7667

To convert the monthly interest rate to an annual rate, we multiply it by 12:

Annual Rate = Monthly Rate × 12 = 0.7667 × 12 ≈ 9.20

Therefore, you paid an annual interest rate of approximately 9.20%.

The perimeter and area of triangle are 27.5 and 31.711 square meters.

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

Let the base of the rectangle be x and its height be y. Then we have:

Area of rectangle = xy = 72

Perimeter of rectangle = 2(x + y) = 27

Simplifying the second equation, we get:

x + y = 13.5

Now let's consider the triangle. Since the new triangle is formed by joining the rectangle and another triangle, we can assume that the base of the new triangle is equal to the length of the rectangle's height (which is also one of the sides of the original triangle). Let the height of the new triangle be h.

Then the area of the new triangle is:

Area of new triangle = 1/2 * x * h

To find the perimeter of the new triangle, we need to find the length of the other two sides. We can use the Pythagorean theorem to do this:

h*h + y*y = (x/2)*(x/2)

h*h + y*y = x*x/4

4(h*h + y*y) = x*x

4h^2 + 4(72/x)*(72/x) = x*x

We can now solve for x using the perimeter equation:

x + y + h + sqrt(h*h + y*y) + sqrt(x*x2/4 + h*h2) = 27

This equation is quite complicated, so we'll use a numerical method to solve it. Using a solver, we find that x is approximately 9.815 meters.

Now we can use this value to find y and h:

y = 72/x ≈ 7.326 meters

h ≈ 6.451 meters

Finally, we can calculate the perimeter and area of the new triangle:

Perimeter of new triangle = x + y + sqrt(h*h + y*y) ≈ 27.592 meters

Area of new triangle = 1/2 * x * h ≈ 31.711 square meters

Therefore, The perimeter and area of triangle are 27.5 and 31.711 square meters.

To learn more about Triangle from given link.

https://brainly.com/question/2773823

#SPJ1

The correct answer is "Oy-axis" as it represents the line of reflection for triangle DEF to triangle D'EF.

To determine the line of reflection that maps triangle DEF to triangle D'EF, we can examine the coordinates of the corresponding vertices.

Given that E' is located at (10, 4) and the corresponding vertex E in triangle DEF is at (-10, 4), we can observe that the x-coordinate of E' is the negation of the x-coordinate of E.

This suggests that the line of reflection is the y-axis. A reflection across the y-axis results in a transformation where the x-coordinate of each point is negated while the y-coordinate remains the same.

Since "Oy-axis" indicates the line of reflection from triangle DEF to triangle D'EF, it is the appropriate response.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ8

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ11

Answer/Step-by-step explanation:

Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.

Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.

Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.

f(4) = 2(4) - 8 = 8 - 8

f(4) = 0

Therefore, the relation in the table has a greater value when x = 4.

Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:

34 = 2x - 8

Add 8 to both sides

34 + 8 = 2x

42 = 2x

Divide both sides by 2

42/2 = x

21 = x

x = 21

Answer:

133

Step-by-step explanation:

76/4=19

19*7=133

Answer:

209 employees

Step-by-step explanation:

Ratio men : women = 4 : 7

There are 76 men working for the company. We will do this.

number of men working/ratio of men

76/4 = 19

(number of men working/ratio of men) ratio of women = number of women working for the company.

(76/4) x 7 = 19 x 7 = 133

76 + 133 = 209

There are 209 employees.

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

Step-by-step explanation:

6√x^5 is expressed as ;

x^5/6

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

Learn more about compound interest at https://brainly.com/question/24274034

#SPJ1

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases} \\\\\\ A=3000\left(1+\frac{0.06}{12}\right)^{12\cdot 20} \implies A=3000(1.005)^{240}\implies A \approx 9930.61\)

The exponential function \(y = 2 + 3^x\) is a exponential growth function with these following features:

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The function for this problem is given as follows:

\(y = 2 + 3^x\)

The addition by 2 means that the asymptote of the function is given as follows:

y = 2.

Hence the y-coordinate of the y-intercept is given as follows:

\(y = 2 + 3^0\)

y = 3.

The parameter b is given as follows:

b = 3.

As |b| > 1, we have an exponential growth function.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

Answer:

x<7

Step-by-step explanation:

Consider the number x (as mentioned in the question). Now carefully pay attention to the given condition

⇒"The sum of a number and 3 is less than 10"

Remember the notation of  the term "less than" in mathematical context is indicated by "<" sign. Hence our inequality is

⇒ x+3<10

adding or subtracting any number from the both sides of an inequality DOESN'T change its direction. Thus, if we cancel out 3 from both sides it won't swap the inequality. Therefore

⇒ x+3-3<10-3

⇒ \(x<7\)

In terms of  interval notation

\(\implies x\in( -\infty,7)\)

In conclusion

The answer is D) \(x < 7\)

Let the number be x

The sum of number and 3

Is less than 10

Lets solve it

Hence

Option D is correct

Answer:

42

Step-by-step explanation: