Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5

Answers

Answer 1

Answer:

The probability is zero

Step-by-step explanation:

For a number to be a multiple of 5, the number must end with either 0 or 5

These are the only numbers in which we can have 5 as a factor of

Now when we raise 2 to any number, there are only some sets of possible results

These numbers are only multiples of 2

These can be;

2, 4, 6 and 8

No root of two has its end in 0 or 5, so none has 5 has its factor

Let us now look at 3

The multiples of 3 when raised are;

3,9,1,7,

As we can see, at no point do we have 5 or 0 as the result

So since we have none of both as ending 5 or 0, the probability we are looking for is zero


Related Questions

A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadratic function LaTeX: p\left(t\right)=\frac{1}{2}gt^2+v_0t+p_0p ( t ) = 1 2 g t 2 + v 0 t + p 0, where LaTeX: t\ge0t ≥ 0, LaTeX: gg is -32 ft/sec/sec, LaTeX: v_0v 0 is initial velocity, and LaTeX: p_0p 0 is its initial position above the ground. If the ball was thrown straight up at 16 ft/sec when it was 5 ft above the ground, how high did it go?

Answers

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

Need help ASAP please

Answers

x equals 7.1 if you round to the nearest tenth

Answer:

=

Step-by-step explanation:

Round off 12 and get 10

I need help with this question! Will mark brainliest :)

Answers

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

I already finished it but how do you know if it’s decreasing or increasing?

Please explain to me :)

Answers

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

the slope of the line will tell you whether it is decreasing or increasing.
negative slopes means it’s decreasing while positive slopes means the line is increasing.

Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.

Answers

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p

Answers

Answer:

27.5 answer B

Step-by-step explanation:

55/200 = .275

Answer:

B is the right answer i guess

what is the area if b=16mm and h=12mm

Answers

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

What is the constant variation of 2x+y=-4?

Answers

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

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Welcome, ANGELICA RODRIGUEZ
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Question 6 of 25 -
Which letters shown below on the number line also have their opposites labeled?
A
B
c
D
0
A and D
Band C
o
A, B, and
O
B, C, and D
O
Previous
ii
Type here to search
2
** N


PLEASE HELP MEEE!!!!

Answers

Answer:

The correct option is;

B, C, and D

Step-by-step explanation:

The labelled letters on the number line are;

A = 2 units to the left of the point 0 = - 2 units

B = 1 units to the left of the point 0 = - 1 unit

C = Located at the point 0

D = 1 units to the right of the point 0 = +1 unit

Therefore, the letters that have their opposites labelled are;

Given that we have;

The opposite of B = -1 is +1 = D

The opposite of D = +1 is -1 = B

The opposite of C = 0 is 0 = C

The letters which have their opposites labelled are B, C and D

Work out (5X10^3) x (9X10^7) answer in standard form plz

Answers

Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Equation in standard form:

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

Learn more about an equation here: https://brainly.com/question/24271130

Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?

Answers

Answer:

please mark me brainliest and follow me my friend.

X+19=-9
pls help!! algebratic equations

Answers

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?

Answers

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me

Answers

The Answer: D) 6

Hope this helps if need more pls text✌

Answer: D

Step-by-step explanation:

Solve for the variable using Trig ratio.

Answers

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Need a quick answer please

Answers

Step-by-step explanation:

S is equal to Q

Q= 48.5

there are two angels (S,Q). They equal 48.5

so 48.5x2= 97

all angels together (QRSP) equals 360

you can take the 97 and subtract it from the 360 =263

divide 263 to get the angels for P and R

S= 48.5

Q=48.5

R=131.5

P=131.5

A company policy requires that, for every 60 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
A.
2,640
B.
4,752
C.
5,280
D.
6,336

Answers

Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)

How can the additive inverse be used to evaluate the problem below?

Negative 3 minus (negative 6)

Answers

Answer:3

Step-by-step explanation:

-3--9

-3+9=6

Answer:

Its D

Step-by-step explanation:

100 on quiz

Which ordered pairs are soultions to the inequality y-2x<-3

Answers

Answer:

(-3, 3/2)

Step-by-step explanation:

Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function

y-intercept occurs at x = 0

Substitute x = 0  into the expression

y - 2(0) < -3

y < -3

Find the x-intercept by substituting y = 0 into the expression

0 - 2x < -3

-2x < -3

x > 3/2

Hence the ordered pair is (x, y) = (-3, 3/2)

John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes

Answers

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

URGENT IF YOU DO THIs ILL GiVE BRAINLEST

Answers

Answer:

b

Step-by-step explanation:

thats what i got

Answer:

j

Step-by-step explanation:

6. Solve the following equation for y.
3x - 4y = 6

Answers

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

The questions and options is on the image ;)

Answers

Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust

Solve for x !!!!!!!!

Answers

Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

the answer for the question is 4

can someone help me with 11 please

Answers

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

PLEASE HELP Tony received a $45.25 gift card for a photo center. He used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following function. B (x)=45.25 -0.05x What is the remaining balance on the card if Tony bought 50 prints?​

Answers

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3​

Answers

Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

What are correspondence angles?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

To know more about an angle follow

https://brainly.com/question/25770607

#SPJ5

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction

Answers

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?

Answers

Concept: Domain & Range

The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.

Andrew ate 2/3 of the desert. cassandra ate 5/16 of the desert. what portion of the desert did andrew and cassandra eat altogether?

Answers

Answer:

Concept: Fractions

A ate 2/3 and C ate 5/16Let us find a common denominator Let 48 be our common DHence 32/48+ 15/48 = 47/48

Answer:

The portions added together make 47/48 of the dessert.

Step-by-step explanation:

To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:

[tex]\frac{2}{3} + \frac{5}{16}[/tex]

[tex]\frac{32}{48} + \frac{15}{48}[/tex]

[tex]\frac{47}{48}[/tex]

Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.

Hope this helped!

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