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 circle has a diameter with the endpoints at (–7, –7) and (–1, 1). What is the equation of the circle?

Answers

Answer:

8.4

Step-by-step explanation:

d=√(x2-x1)+(y2-y1)

d-√ (-1-(-7))^2+(-1-(-7))^2

d=√ (-1+7)^2+(-1+7)^2

d=√ (6)^2+6^2

d=√ 36+36

d=√ 72

d=6√ 2=8.4852

d=8.4

Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proportionality).
y =25x, a = 5x + 5, m = 105.25n

Answers

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

Just read and answer me

Answers

Answer:

the picture isnt showing up on mines

A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 35%. Find the selling price.
The selling price was s (Round to the nearest dollar as needed.)

Answers

Answer:

30.8 I believe is your answer

Step-by-step explanation:

Which of the following terminating decimals is equivalent to StartFraction 3 over 8 EndFraction?
0.250
0.375
0.380
0.830

Answers

Given:

The fraction value is [tex]\dfrac{3}{8}[/tex].

To find:

The terminating decimal which is equivalent to the given fraction value.

Solution:

We have,

[tex]\dfrac{3}{8}[/tex]

Multiply and divide the numerator and denominator by 1000.

[tex]=\dfrac{3}{8}\times \dfrac{1000}{1000}[/tex]

It can be written as

[tex]=\dfrac{3000}{8}\times \dfrac{1}{1000}[/tex]

[tex]=375\times \dfrac{1}{1000}[/tex]

[tex]=\dfrac{375}{1000}[/tex]

[tex]=0.375[/tex]

Therefore, the correct option is B.

Answer:

0.375

Step-by-step explanation:

ya

Help!! 10 pts and brainliest!

Answers

Answer:

0.75

Step-by-step explanation:

So A scale factors B by 0.75

10*75% = x

x is 7.5

Hope this helps plz hit the crown :D

Simplify the expression and enter your answer below.

(15^1/5)^5

Answers

Answer:

15^1 or just 15

Step-by-step explanation:

(15^1/5)^5

If there is a parenthesees seperating powers you can times the two numbers.

So you take 1/5 and times by 5

After this you get 15^1 and that would be 15

Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.​

Answers

Answer:

x + y = 7

2.5x + 3y = 20

Step-by-step explanation:

cherries = $2.5 per pound

mangoes = $3 per pound

7 pounds of cherries & mangoes for $20

unkown x number of pounds in cherries

unknown y number of pounds in mangoes

x + y = 7

2.5x + 3y = 20

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

please help!!!!!!!!!

Answers

Answer:

Using only dilation

Step-by-step explanation:

This is because dilation is to make bigger or smaller.

Answer:

c

Step-by-step explanation:

dilation is when you shrink the square, but maintain similarity between the four side lengths. Theoretically, you can shrink square EFGH to the size of ABCD

If f(x)=|x+7|, find f(−12).


−19


−5


5


19

Answers

Answer:

5

Step-by-step explanation:

insert f(-12) for f(x) and solve

f(-12)=|-12+7|

add -12 and 7

f(-12)=|-5|

absolute value makes it positive

f(-12)=5

If f(x)=|x+7|, the value of f(-12)=5

Given :

the function f(x)=|x+7|. Lets find out f(-12)

f(x) is an absolute function . Absolute function always gives us positive value .

for example |-6|=6

In f(-12) the value of x is -12

To find f(-12) we replace x  with -12 in f(x).

[tex]f(x)=|x+7|\\f(-12)=|-12+7|\\f(-12)=|-5|\\f(-12)=5[/tex]

so,  we got f(-12)=5

The answer is 5

Learn more : brainly.com/question/19661937

3. Two sides of a triangle measure 17 inches
and 9 inches. Which cannot be the length
of the remaining side?
A. 21
B. 26
C. 9
D. 15

Answers

the answer is b.

the length of x is 26.

What is the measure of A?

Answers

The answer is 35 cause first u multiply 6+5 which is 30 then add 5 which is 35

Simplify.

34−4x+12x−12+12x

Enter your answer in the box.

Do not use decimals in your answer.

Answers

Collect like terms
22-4x+12x+12x
22+20x
Then factor out number 2 from the expression
2(11+10x)
Answer : 2(11+10x)
:)

Answer:

22 - 28x

Step-by-step explanation:

34−4x+12x−12+12x

you wanna combine like terms

34 - 16x + 12 + 12x

34 - 28x + 12

22 - 28x

Given the equation: y=2x-5 , is your y-intercept below or
above the x-axis?

Answers

Answer:

Below

Step-by-step explanation:

The equation for slopes are y=mx+b. m = slope, and b = y-intercept.

Since b is negative the y-intercept will be below the x-axis.

ldentifying Slope and y-Intercept of a Line
y
ldentity the slopo and y-intercept of each linoar function's eqution
x+3
slope -3, y-intercept at
V1- 3x
X-3
V 3-1
slope
1: y-intercept at-3
slope 1:y-intercept at 3
slope
3. y-intercept at -1
D ntuO
Done

Answers

Answer:

i think questions no 3 is the answer of this question

In order for the parallelogram to be a square, x=?

Answers

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

Need help
Question in the screenshot below
NO spam
Please show your work

Answers

Answer:   x = 6

======================================================

Work Shown:

[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]

[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

Plz help. Will give brainliest for the best answer

Answers

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

What is the slope of 7,-2 and -3,3

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

Find the next three terms:
5, 8, 11, 14...

Answers

Answer:

next 3 terms are 17,20,23

Step-by-step explanation:

to get from 5 to 8 you add 3

14+3=17

17+3=20

20+3=23

Answer:

17, 20, 23

Step-by-step explanation:

The pattern is that 3 is added every time.

5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.

That means that the next terms will be

14 + 3 = 17

17 + 3 = 20

20 + 3 = 23

Choose the prime number. 25, 27, 31, 32, 44, 45

Answers

Answer:

the prime number is 31

Step-by-step explanation:

hi I got it right

31 IS A PRIMR NUMBER

Help it's timed! I’m gunna give Brainliest

Answers

Answer:

Step-by-step explanation:

second one

Answer:

middle table

Step-by-step explanation:

The middle table has the same set of ordered pairs as the given set.

If BC
is the image of XY
after a rotation about the origin, then what is always true about BC
?

A
BC
is a vertical segment.
B
BC
is a horizontal segment.
C
BC
is in the same quadrant as XY
.
D
The length of BC
is the same as XY
.

Answers

Answer:

Step-by-step explanation: a

can someone help me with this?

Answers

Answer:

A'(-2,0) B'(-3,5) C'(0,4)

Step-by-step explanation:

all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.

Answer:

A. (-2,0)

B. (-3,5)

C. (0,4)

Three vertices of parallelogram DEFG are
D(0, 2), E(-1, 5), and G (4, 0). Find
the coordinates of F.

Answers

Answer:

F(3,3)

Step-by-step explanation:

The coordinate of F is (3, 3).

Given

Three vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).

What is the formula to find the midpoints?

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}[/tex]

Let (x, y) = coordinates of vertex F.

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of EG

Then,

The midpoint of D(0, 2) and F(x, y) is;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}[/tex]

The midpoint of E(-1, 5) and G(4, 0) is;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}[/tex]

Comparing the equation;

[tex]\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3[/tex]

[tex]\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3[/tex]

Hence, the coordinate of F is (3, 3).

To know more about Midpoints click the link given below.

https://brainly.com/question/2994861

what is the x intercept of the line represented by the equation below 3x+6y=30​

Answers

Answer:

(10,0)

Step-by-step explanation:

3x+6y=30

3x+6(0)=30

3x=30

x=10

Answer:

hmmm? well I guess I can solve for x in relation to y and vice versa

but to actually solve for x and y you will need another equation of x and y

3x=30+6y

x=10+2y=2y+10

-6y=30-3x

-2y=10-x

2y=-10+x=x-10

y=(1/2)x-5

well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of

Carter has $105 to buy a cake and pizza for his cousin's birthday party. He knows he needs to set aside $25 for the cake, and the rest of the money he can spend on pizzas. Each pizza costs $9.25. How many pizzas can Carter afford to buy? Use the inequality 9.25x + 25 ≤ 105

Answers

Answer:

8

Step-by-step explanation:

Here, we want to use the inequality to know the number of pizza that can be bought

We simply proceed to solve the inequality recently and we have the following;

9.25x + 25 ≤ 105

9.25x ≤ 105-25

9.25x ≤ 80

x ≤ 80/9

x ≤ 8.65

Since we cannot have fractional pizzas, what he can afford is rather written as 8

PLEASE HELPP AND SHOW WORK​

Answers

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]

2 = [tex]\frac{34}{x-8}[/tex]

x - 8 = [tex]\frac{34}{2}[/tex]

x - 8 = 17

x = 17 + 8

x = 25

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