Mathematics High School

PLEASE HELP! a. How many 7-digit numbers have odd numbers in the odd positions (i.e. odd numbers in the first, third, fifth and seventh positions)?
(2)

b. How many of these have even numbers in the even positions?

PLEASE HELP! A. How Many 7-digit Numbers Have Odd Numbers In The Odd Positions (i.e. Odd Numbers In The

Answers

Answer 1

Answer:

a) 625,000

b) 78,125 if 0 is counted as even or 40,000 if it is not.

Step-by-step explanation:

Represent the 7 digit number by abcdefg

Position          Allowable digits          Number of allowable digits

g                      1,3,5,7,9                          5

f                       0,1,2,3,4,5,6,7,8,9          10

e                      1,3,5,7,9                          5

d                      0,1,2,3,4,5,6,7,8,9          10

c                      1,3,5,7,9                          5

b                       0,1,2,3,4,5,6,7,8,9         10

a                      1,3,5,7,9                          5

This implies that the number of 7 digit numbers with odd digits in the odd positions is

5x10x5x10x5x10x5=625000  

For part b, count 0 as an even digit.  Then rule out 1,3,5,7,9 in positions b, d, and f. This leaves 5 possible digits in all 7 locations. So the answer is

5^7=78,125    

If 0 is not counted as an even digit, then the answer is

4^3+5^4=40000

Related Questions

What is the measure of

Answers

Answer:

gvb

Step-by-step explanation:

your question is wrong

ask right question first

Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She
gave the cashier $40.00. What was her change?

Answers

Answer:

$16

Step-by-step explanation:

first find the discount price which is 25% of $32.00 = $8

$32.00 - $8.00 = $24.00

$40.00 - $24.00 = $16.00 change

A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?​

Answers

Answer:monthly rent of a 1-bedroom apartment= $280

Step-by-step explanation:

Let the  cost of 1 bed room apartment = x

And the cost of two bedroom apartment= 2x-40

Since the cost of of two bedroom apartment = $520  

Then the cost of one bed room part will be expressed as

520= 2x- 40

520+40 = 2x

560= 2x

x= 560/ 2

x= 280

Therefore the  cost of 1 bed room apartment = x= $280

can someone write
[tex] \frac{x}{3 \sqrt{x} } [/tex]
in index form​

Answers

I don't know how to write it in index form but I can Rationalize the Denominator.

Rationalize the Denominator:        [tex]\frac{\sqrt{x} }{3}[/tex]

Swim floats are on sale at Sam’s
Swim Shop. They are marked 30%
off of the original price of
$18.00. How much will the float
cost?

Answers

Answer:

$12.60

Step-by-step explanation:

30% of 18 = 5.4

18 - 5.4 = 12.6

Answer is $12.60

Answer:

$12.60

Step-by-step explanation:

30% is just 0.3 of a number, do 100%-30% which gives you 70% or 0.7, 0.7 of 18 would be 12.6 or $12.60

Please help also the attachment is the answer choices.AND 13 POINT AND I GIVE BRAINLEST IF YOU GET IT RIGHT!!!!


Brayden stated that a flying disc had a circumference of 43.96 in. Eliza wanted to find the area of the same flying disc. What is the area of the flying disc rounded to the nearest whole number? Both Brayden and Eliza used 3.14 for π.

Answers

Step-by-step explanation:

circumference(c)=43.96

2πr=43.96

r=43.96÷2π

radius ( r)=7

Now,

area(a)=πr^2

=3.14×49

=154

what type of slope does a horizontal line have​

Answers

Answer:

It has a slope of 0

Step-by-step explanation:

Answer:

a slope of zero

Step-by-step explanation:

a vertical line has an undefined slope, a horizontal line has a slope of zero

I need help! 50 points + brainliest

1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.

x = ±3
x = 3
x = -3
x = ±9

2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.

h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)

Answers

Answer:

Part 1)

A

Part 2)

C

Step-by-step explanation:

1)

We are given:

[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]

And that:

[tex]h(x)=f(x)/g(x)[/tex]

And we want to now for which values of x is h(x) undefined.

So, by substitution:

[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]

Remember that for rational functions, the function will be undefined if and only if the denominator is 0.

This is because we cannot divide by 0.

So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:

[tex]x^2-9=0[/tex]

Add 9 to both sides:

[tex]x^2=9[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:

[tex]x=\pm 3[/tex]

So, h(x) is undefined for ±3.

Our answer is A.

2)

We are given:

[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]

And we want to find:

[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]

So:

[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]

Distribute:

[tex]h(x)=3^x-3^{2x}+3^x[/tex]

Combine like terms:

[tex]h(x)=2(3^x)-3^{2x}[/tex]

Rewrite:

[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]

Factor out:

[tex]h(x)=3^x(2-3^x)[/tex]

So, our answer is C.

A player on a school baseball team reaches first base 3 10 of the time he is at bat. Out of 50 times at bat, how many times would you predict he will reach first base?

Answers

Answer:

15 times

Step-by-step explanation:

Proportion of times first base is reached = 3 / 10

If Number of times at bat = 50

Number of times first base is reached :

Proportion * Number of times at bats

3/ 10 * 50

(3 * 50) / 10

(150 / 10)

= 15 times

What is m∠1?..........

Answers

the answer is 69

hope that helped

What are the first 4 terms of the arithmetic sequence in the graph?


Enter your answers in the boxes.

Answers

4,6,8,&10 is the answer

Answer:

The answer is 4, 6, 8, and 10

Step-by-step explanation:

The graph shows that every time you move 1 right, you move 2 up.

30 miles to kilometres

Answers

Answer:

48.2803

Step-by-step explanation:

Answer:

48.2803

Step-by-step explanation:

If the national average for a gallon of gas is $3.10, how much should you expect to pay for gas in philadelphia versus atlanta

Answers

Answer: $3.63 / $3.29

Step-by-step explanation:

In Philadelphia, you would pay:

= 3.10 * Percentage of national average for transport

= 3.10 * 117%

= $3.63

In Atlanta:

= 3.10 * Percentage of national average for transport

= 3.10 * 106%

= $3.29

The table below compares the cost of living in Philadelphia  and Cleveland, with the numbers representing percentages of  the national average.

Answer:

$3.63 / $3.29

Step-by-step explanation:

Just did test

Scott is 72 inches tall and Chris is 185 centimeters tall how tall is Chris in inches?

Answers

Answer:

Around 72.8 inches

Step-by-step explanation:

We are given the infomation that Chris is 185 centimeters tall.

There are 2.54 centimeters in an inch.

185/2.54 = 72.8346 ≈ 72.8

Chris should be around 72.8 inches.

Hope this helps.

Chris should be around 72.8 inches tall.

Here, we have,

given that,

Scott is 72 inches tall and Chris is 185 centimeters tall

We are given the information that Chris is 185 centimeters tall.

now, we know that,

There are 2.54 centimeters in an inch.

Since 1 inch = 2.54 centimeters

all we need to do is to divide 185 by 2.54

i.e. 185/2.54 = 72.8346 ≈ 72.8

The answer will be 72.8.

Chris should be around 72.8 inches.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ6

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

It would be a trapezoid!

Step-by-step explanation:

Answer:

I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?

Please help me out ASAP will give brainliest!!

Answers

Answer:

SEE EXPLANATION

Step-by-step explanation:

Side opposite to larger angle is larger and the side opposite to smaller angle is smaller.

Side opposite to the angle ABH is AH

and side opposite to angle GHB is GB

Since angle ABH > angle GHB..... (given)

Therefore, AH > GB

Write the slope-intercept equation of the line on this graph.

Answers

Answer:

where is the graph?

Step-by-step explanation:

Carla bought 5 school lunches in one week for $18.75. Which equation can be used to determine the price, p, in dollars, of 1 school lunch?

A. P/5 = $18.75

B. 5/P = $18.75

C. $18.75/5 = P

D. 5/ 18.75 = P

And also include how you got the answer

Answers

Answer:

Step-by-step explanation:

C

What is tan 45°?
45°
v2
1
1
90°
45°

Answers

Answer:

the aanswer is 1

Step-by-step explanation:

Please help me, to be submitted tomorrow. Pls help​

Answers

Answer:

I got the answer 13

Step-by-step explanation:

To be short, I use the tangent ratio

Answer:

i got 13 but i would try to work it out yourself just incase

Step-by-step explanation:

Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?

Answers

Answer:

[tex]\boxed {\boxed {\sf \$54.80}}[/tex]

Step-by-step explanation:

Chris earns the commission on the jewelery sales. To calculate what he earned, multiply the commission rate and his sales.

[tex]commission= commission \ rate * sales[/tex]

His rate is 4% and his sales are $1,370

[tex]commission= 4\% * \$1370[/tex]

Convert the percent to a decimal. Divide by 100 or move the decimal two spots to the left.

4/100= 0.04 4.0   -->   0.4   -->   0.04

[tex]commission= 0.04* $1370[/tex]

[tex]commission = \$ 54.8[/tex]

Chris's commission is $54.80

Brainliest for whoever get this right :):):):)

Answers

Answer:

the slope is: Positive

slope is: 1/5

y-intercept: -4

equation is: y = 1/5x - 4

Answer:

Slope: Postive

Slope: 5

Y-Intercept: -4

Equation: y = 5x - 4

Step-by-step explanation:

A positive slope rises left to right, a negative slope rises right to left.

The slope is [tex]\frac{rise}{run}[/tex].

The y-intercept is where the line meets the y-axis.

The equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.

Hope it helps and is correct!

Sarah has a 22 ounce lemonade. She drinks 9 ounces. Enter the percentage of ounces Sarah has left of her lemonade. Round your answer to the nearest hundredth.

Answers

Answer:

40.91 percent

22-9= 13 divided by 22= 60%

Given m||n fine the value of x

Answers

x is going to equal 33

help i don’t really know how to do this

Answers

Answer:

A

Step-by-step explanation:

I think it might be A

6 = 4x + 9y ( what Y )

Answers

Answer:

Step-by-step explanation:

6

Twenty people in your class want to be on a 5-person bowling team to represent the
class. How many different bowling orders can be chosen?

Answers

Answer:

4 :)

Step-by-step explanation:

Write the equation for "16 is equivalent to the product of 7 and a
number d”

Answers

Answer:

16 = 7 * d or 16 = 7d

Step-by-step explanation:

16 is equivalent to the product of 7 and a number d

Substitute mathematical signs for the words-

is equivalent means =

product means to multiply *

16 is equivalent to the product of 7 and a number d

16 = 7 * d     Could also be written as    16 = 7d

I NEED HELP, WHAT IS THE VALUE OF X?

Answers

2x+x=114 (ext. ∠ of △)
3x=114
x=38
The answer is : X=38

On the windowsill is a plant that is 10 inches tall. It is growing 3 inches per
week. A second plant, which is 17 inches tall, is on the coffee table. It is
growing 2 inches per week. Eventually the two plants will be the same
height. How tall will the plants be? How many weeks will that take? *

Answers

Answer:18 days

Step-by-step explanation:

Here's a short table of heights:

 day 0: height = 1

 day 1: height = 1 + (1/2)(1) = 3/2

 day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

 (day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

 h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

 10 = 1 + d/2

 9 = d/2 . . . . subtract 1

 18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.

Answer:

it would take 9 weeks for both of the plants to equally meet the same height which is 33 inches

Step-by-step explanation:

Can i please get branelist

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