Arrange the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 into three groups. Make one
group of two digits, one group of three digits, and one group of four digits.
When you multiply the first group of two digits by the second group of three
digits you get the four digit number as your answer
Example: 39x186=7254
There are six other possible combinations.
Part a:

Answers

Answer 1

Answer:

so the answer 1904

Step-by-step explanation:

because 34 x 56 = 1904

Answer 2

There are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

Here, we have to form the three groups with the digits 1 to 9, we need to consider that the first group of two digits multiplied by the second group of three digits should result in a four-digit number.

The third group will consist of the remaining four digits.

Let's try different combinations:

Group 1 (two digits): 1 and 2

Group 2 (three digits): 3, 4, and 5

Group 3 (four digits): 6, 7, 8, and 9

Now, let's calculate the product of the first group (1 and 2) and the second group (3, 4, and 5):

12 * 345 = 4140

So, when we arrange the digits 1 to 9 as described above, we get the product 4140, which is a four-digit number.

We can also verify the other six possible combinations using different arrangements of the digits into three groups, and each combination should result in a four-digit number when the first group is multiplied by the second group.

Here are the other six possible combinations:

Group 1 (two digits): 1 and 3, Group 2 (three digits): 2, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

13 * 245 = 3185

Group 1 (two digits): 1 and 4, Group 2 (three digits): 2, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

14 * 235 = 3290

Group 1 (two digits): 1 and 5, Group 2 (three digits): 2, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

15 * 234 = 3510

Group 1 (two digits): 2 and 3, Group 2 (three digits): 1, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

23 * 145 = 3335

Group 1 (two digits): 2 and 4, Group 2 (three digits): 1, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

24 * 135 = 3240

Group 1 (two digits): 2 and 5, Group 2 (three digits): 1, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

25 * 134 = 3350

So, there are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

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Related Questions

I have no idea what I am doing

I have no idea what I am doing

Answers

Answer:

I have no idea either

Step-by-step explanation:

Answer: -14
Start by plugging in the given.
-6 -8/4 -6 =
Then continue on by simplifying.
Add the like terms.
-12 -8/4 =
Simplify the fraction so it’s easier to add.
-2-12 =
-14 =

An airport shuttle service charges $15 plus $1.15 per mile. An equation is written as y=mx+b, where y is the cost for x miles.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't really say what you need to calculate but let me try to help out.

From the question, we are informed that an airport shuttle service charges $15 plus $1.15 per mile and that an equation is written as y=mx+b, where y is the cost for x miles.

The equation can be expressed as:

y = 15 + 1.15x

where,

15 = y intercept and this is the initial fixed cost

1.15 = slope and this is the cost per mile

x = number of miles

I WILL GIVE BRAINLIEST! ONLY 5 MINS FIRST TO ANSWER GETS BRAINIEST!
A Mexican family is on holiday in San Francisco. At a café they order 2 hot dogs and 2 chicken salad. The exchange rate is $1 = 21.22 Mexican Pesos Work out their total bill in Mexican Pesos

I WILL GIVE BRAINLIEST! ONLY 5 MINS FIRST TO ANSWER GETS BRAINIEST!A Mexican family is on holiday in

Answers

Answer:

2 times 5.10=10.2

2 times 4.50=9

10.2+9=19.2

19.2 times 21.22

=407.424

Step-by-step explanation:

MIDDLE SCHOOL HELP:)

MIDDLE SCHOOL HELP:)

Answers

Answer:

Step-by-step explanation:

Sorry It looks so blurry, find the radius then square it, times it by pie/3.14

Sandra took her broken laptop to be repaired. The total repair cost includes a fixed cost of $30 plus $18 per hour for labour. a) Use function notation to write an equation for this situation. Define your variables.
b) State a reasonable domain and range for your function. Explain your thought process.

Answers

a) the equation is : C(H) = F + R * H, b) For the domain of the function, it is reasonable to consider non-negative real numbers and for the range of the function, it should include the fixed cost ($30) as the minimum value.

The repair cost situation can be represented by a function using function notation. Let's define the variables and write the equation. The reasonable domain for the function is the set of non-negative real numbers, representing the number of hours of labor. The range is the set of non-negative real numbers greater than or equal to the fixed cost of $30, representing the total repair cost. This ensures that the cost is always positive and includes the fixed cost.

In this situation, let's define the variables as follows:

Let C represent the total repair cost.

Let H represent the number of hours of labor.

Let F represent the fixed cost of $30.

Let R represent the hourly rate of $18.

Using these variables, we can write the equation for the repair cost as follows:

C(H) = F + R * H

The fixed cost of $30 is added to the product of the hourly rate ($18) and the number of hours of labor (H).

For the domain of the function, it is reasonable to consider non-negative real numbers for the number of hours of labor, as negative hours or non-real numbers are not meaningful in this context.

For the range of the function, it should include the fixed cost ($30) as the minimum value, and any non-negative real number greater than or equal to the fixed cost can be a valid total repair cost. This ensures that the cost is always positive and includes the fixed cost.

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How do I find the vertex and axis of symmetry

H(x) = (x+4)^2

Answers

Answer:

The axis of symmetry occurs at x=4 and the vertex at y=64

Step-by-step explanation:

Expand h(x)=x²+8x+16

Axis of symmetry=-b/2a

x=-8/2•1=4

The axis of symmetry is x=4

h(4)=(4)²+8(4)+16

=16+32+16

=64

The vertex occurs at y=64

John travels north 36 miles and then east 48 miles. o that he is 0 miles from his original starting point. Which equation could NOT be used to determine if these measurements form a right triangle?

John travels north 36 miles and then east 48 miles. o that he is 0 miles from his original starting point.

Answers

The incorrect measurements of the right triangle is 36² + 60² = 48²

Given data ,

Let the triangle be represented as ABC

Now , let the height of the triangle be AB = 36 miles north

Let the base of the triangle be BC = 48 miles east

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , 36² + 48² = 60²

So , the incorrect option from the data is 36² + 60² = 48²

Hence , the triangle is formed

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pls help thanks, i’ll give brainliest if you give me a correct answer and show your reasoning

pls help thanks, ill give brainliest if you give me a correct answer and show your reasoning

Answers

Answer:

Disagree

Step-by-step explanation:

The did 3 divided by 2/3 to get 4 1/2 or 4.5 so it wouldn't be 4 1/3

2x + 11 = 5
If a and b are the solutions to the equation above, what is the value of |a – b| ?

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 11 = 5

- 11          -11

2x/2         6

x        =     3

I NEED HELP WITH THIS PLS HELP!!!

I NEED HELP WITH THIS PLS HELP!!!

Answers

Answer:

29.7 m^3

Step-by-step explanation:

Hope this helps

shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 years

Answers

Answer:

$23,302.50

Step-by-step explanation:

Plz help and don’t scroll thank u

Plz help and dont scroll thank u

Answers

I think the answer is d

Answer:

A.) Measurement of angle 1 is 60, and measurement of angle 2 is 60.

Step-by-step explanation:

We know because those are both acute angles, and cannot be 135, so that eliminates that option. We also know that 45 + 67.5 wont work because the last angle would need to measure 67.5 which would not make sense based on the fact all of the triangles are equal in size and angle measurement. The last option is wrong because 22.5 is way to small for there to only be 8 triangles in the octagon. All the angle measures have to be equal in order for this model to work.

Dr Leonard Bernstein owner of software solving inc determines that he must mark up the software he sell to clients by 60% of selling price. Leonard's costs for a project with the local bank will total $1200000. What selling price should Leonard put in the contract with the bank

Answers

Answer:

The right solution is "$1,920,000".

Step-by-step explanation:

Given:

Project cost,

= $1200000

Dr. Leonard sells by

= 60%,

The mark up value will be:

= \(\frac{1200000\times 60}{100}\)

= \(720,000\) ($)

hence,

The selling price he should put with the bank will be:

= \(Project \ cost+Mark \ up \ value\)

= \(1200000+720000\)

= \(1,920,000\) ($)

val is going to plant d vegetable seeds in one garden and 5d + 4 vegetable seeds in another. how may seeds is val going to plant?

Answers

Answer:

6d+4 seeds

Step-by-step explanation:

d+5d+4=6d+4

If m∠HZJ = 38°, what is m∠FZG

If mHZJ = 38, what is mFZG

Answers

Answer: 38 degrees

Step-by-step explanation:

HZJ and FZG are congruent angles so then that means that they are the same 38 degrees.

Expand the expression so there are no exponents. Write the variables side by side, do not write multiplication symbols, do not put any spaces. F^6 f^3 f

Expand the expression so there are no exponents. Write the variables side by side, do not write multiplication

Answers

The expression is expanded to give f^9

What are index forms?

Index forms are described as mathematical ways of expressing numbers that are too large or small in more convenient forms.

Other names are standard forms or scientific notations.

They are also described as numbers with exponents.

From the information given, we have that;

F^6 f^3 f

Following the index rules, the numbers that multiply each other and are of the same base have their exponents added.

Then, we have;

f^6+3+1

Add the values

f^9

Hence, the value is f^9

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3.8n+1=3.6m+1.62 (show the work)

Answers

Answer:

M=1.05n-0.172

Step-by-step explanation:

HELP HELP HELP PLEASE

HELP HELP HELP PLEASE

Answers

Answer:

Put your dot on 7/4 and then then -1 means you will go left 1 time and down 1 time 1 left 1 down it should look like a staircase

Step-by-step explanation:

Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answers

The match of solutions with the exponential expressions is

1) \(\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}=2\)

2) \((3^3) (4^0)^2 (3(2))^{-3} (2^2)=1/2\)

3) \(\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} =2\)

4) \(\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}=1\)

What are properties of exponents?

The base will be multiplied by itself a certain number of times, as indicated by the exponent (also known as a power or degree).

What are the formulae/ properties for exponents?

Formulae for solving exponents are referred to as exponents formulas. The exponent of a number is written as \(x^{n}\), which means that x has been multiplied by itself n times.

\(x^{n}(x^{m})=x^{n+m} \\\frac{x^{n} }{x^{m} }=x^{n-m} \\(x^{n} )^{m} =x^{nm} \\((x)(y))^{n}=x^{n}(y^{n} \\x^{0}=1\)

1) the solution of the first expression will be

\(\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}\)

\((2^3) (3^{-6} ) (5^2) (3^4) / (3^{-2}) (10^2)= (2.2^2.5^2) (3^{-6}.3^4) / (3{^-2}) (10^2)= (2)(10^2) (3^{-2}) / (3^{-2}) (10^2)\\=2\)

2)The solution of the second expression will be

\((3^3) (4^0)^2 (3(2))^{-3} (2^2)\)

Any  number with power zero is 1.

So,

\((3^3) (1^2) (3^{-3}) (2^{-3}) (2^2)= (2^{(-3+2)})=2^-1\\= 1/2\)

3) The solution of third expression will be

\(\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} \\= \frac{(12^7) (2^{-3}) (5^{-3}) (5^2)}{(12^7) (5^{-1}) (2^{-4})} =\frac{(2^-3) (5^{(-3+2)})}{(5^{-1}) (2^{-4})} = \frac{(2^{-3}) (5^{-1})}{(5^{-1}) (2^{-}4)} = \frac{1}{(2^{-1})} = 2\)

4) The solution to the forth expression will be

\(\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}\\=2^{0}\\ =1\)

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Answer:

The person above litteraly gave you the answer just reread the first equations and then you will figure it out

Step-by-step explanation:

Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Mr.Green works at a advertising agency. He has a marketing budget of $2500 to pay for television and newpaper advertising. Television advertising costs $100 per minute and newpaper advertisement cost $25 per square inch of print. The inequality represents the number of minutes of television advertising (A) and square inches of of newspaper advertising (B), Mr.Green can order without exceeding his marketing budget is

Answers

Step-by-step explanation:

A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.

To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.

100a + 25b  ≤  2500

Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
addition property of equality
distributive property
division property of equality
commutative property

Answers

Answer:

distributive property

Answer:

distributive

Step-by-step explanation:

Vector u has an initial point at (−5, 2) and a terminal point at (−7, 9). Which of the following represents u in trigonometric form?

u = 7.28(cos 74.055°i + sin 74.055j)
u = 7.28(cos 105.945°i + sin 105.945°j)
u = 7.28(sin 74.055°i + cos 74.055°j)
u = 7.28(sin 105.945°i + cos 105.945°j)

Answers

The vector between (-5, 2) and (-7, 9) represented in trigonometric form is described by the expression 7.280 · (cos 105.945° i + sin 105.945° j).

How to determine a vector in polar form

Let be a vector in rectangular form, that is, a vector of the form (x, y). A vector in polar (trigonometric) form is defined by the following expression: (r, θ)

And the magnitude (r) and direction of the vector (θ), in degrees, are, respectively:

Magnitude

\(r = \sqrt{x^{2}+y^{2}}\)     (1)

Direction

\(\theta = \tan^{-1}\frac{y}{x}\)

And the vector in rectangular form is described below:

(x,y) = (-7, 9) - (-5, 2)

(x,y) = (-2, 7)

And its polar form is determined below:

\(r = \sqrt{(-2)^{2}+7^{2}}\)

\(r = \sqrt{53}\)

r ≈ 7.280

θ = tan⁻¹ (-7/2)

θ ≈ 105.945°

And the vector between (-5, 2) and (-7, 9) represented in trigonometric form is described by the expression 7.280 · (cos 105.945° i + sin 105.945° j). \(\blacksquare\)

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find the smallest 4 digit number that can be formed with the digits 0,4, 2 and 6​

Answers

Answer:

dgjkgc!vhlyj do gjgmnnnhchvgjffjhvhfkjufug

how many 1/2 size pieces are in 5 and 2/5

Answers

Answer:

12\

Step-by-step explanation:

2. Find the fraction which is exactly halfway between 1/7 and 4/7​

Answers

Answer:

That would be the fraction exactly between 2/7 and 3/7

which would be 2.5 / 7 or 5 / 14

Step-by-step explanation:

In a recent year, the distribution of age for senators in the United States Senate was unimodal and roughly symmetric with mean 65 years and standard deviation 10.6 years. Consider a simulation with 200 trials in which, for each trial, a random sample of 5 senators’ ages is selected and the mean age is calculated. Which of the following best describes the distribution of the 200 sample mean ages?
(A) Approximately normal with mean 65 years and standard deviation 10.6 years.
(B) Approximately normal with mean 65 years and standard deviation (10.6)/√5 years.
(C) Approximately normal with mean 65 years and standard deviation (10.6)/√200 years.
(D) Approximately uniform with mean 65 years and standard deviation (10.6)/√5 years.
(E) Approximately uniform with mean 65 years and standard deviation (10.6)/√200 years.

Answers

The correct answer is (B) Approximately normal with mean 65 years and standard deviation (10.6)/√5 years.

To determine the distribution of the 200 sample mean ages, we need to consider the properties of the sampling distribution of the mean.

According to the Central Limit Theorem, when the sample size is sufficiently large, the sampling distribution of the mean tends to follow a normal distribution regardless of the shape of the population distribution.

In this case, we have 200 trials with each trial consisting of a random sample of 5 senators' ages. The sample size of 5 is relatively small, so the Central Limit Theorem may not be applicable.

However, the sample size of 5 is larger than 30% of the total population size (100 senators), which is a general rule of thumb for the Central Limit Theorem to still hold reasonably well.

Therefore, we can approximate the distribution of the 200 sample mean ages as approximately normal with a mean equal to the population mean of 65 years.

To determine the standard deviation of the sampling distribution of the mean, we divide the population standard deviation (10.6 years) by the square root of the sample size.

Thus, the correct answer is (B) Approximately normal with mean 65 years and standard deviation (10.6)/√5 years.

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4x 3y2 Evaluate the expression for x = 3 and y = 4.

4x 3y2 Evaluate the expression for x = 3 and y = 4.

Answers

\(-\frac{9}{4}\)

Explanation

\(-\frac{4x^3}{3y^2}\)

Step 1

to find the answer just replace the values for x and y

for x=3 and y =4

\(\begin{gathered} -\frac{4x^3}{3y^2} \\ -\frac{4(3)^3}{3(4)^2}=-\frac{4\cdot(3\cdot3\cdot3)}{3\cdot(4\cdot4)}=-\frac{4\cdot27}{3\cdot16}=-\frac{27}{12}=-\frac{9}{4} \end{gathered}\)

I hope this helps you

Which pair of functions is not a pair of inverse functions?A. flt=*1 and g(t)=68–1B. f(x)= $184 and g(x)=193+4C. f(x)= 35 and g(1)=5VTD. f(x)== # 20 and g(x)= 2041

Answers

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3

Answers

Answer:

20/27

Step-by-step explanation:

(0)

Which equation shows an example of the associative property of addition? (-7+i)+7i=-7+(i+7i) (-7+i)+7i=7i+(-7i+i) 7i*(-7i+i)=(7i-7i)+(7i*i) (-7i+i)+0=(-7i+i)

Answers

The equation that shows an example of the associative property of addition is:

\(\((-7+i)+7i = -7 + (i+7i)\)\)

According to the associative property of addition, the grouping of numbers being added does not affect the result. In this equation, we can see that both sides of the equation represent the addition of three terms:

\(\((-7+i)\), \(7i\),\)  and  \(\(i\).\)  The equation shows that we can group the terms in different ways without changing the sum.

The equation  \(\((-7+i)+7i = -7 + (i+7i)\)\)  demonstrates the associative property by grouping  \(\((-7+i)\)\) and  \(\(7i\)\)  together on the left side of the equation, and  \(\(-7\)\) and  \(\((i+7i)\)\)  together on the right side of the equation. Both sides yield the same result, emphasizing the associative nature of addition.

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