Number 19 sorry for all these

Answer:

( edited )

1. divisible by 5 : 120

2. divisible by 12 : 192

3. divisible by 25 : 24

See explanations below.

Step-by-step explanation:

Given:

6 digit number

digits all unique between 1 to 6

divisible by 5, 12 and 25

Find how many such numbers

solution:

1. Divisible by 5.

The last digit must be 5.  That leaves five digits (1,2,3,4,6) for the rest of the numbers. So there are 5! = 120 such numbers.

2. Divisible by 12 (edited again)

All numbers formed from unique digits 1,2,3,4,5,6 are divisible by 3, since 1+2+3+4+5+6 = 21 which is divisible by 3.

For the 6 digit numbers divisible by 12, the two end digits must be divisible by 4, for which there are 8 ( 12,16,24,32,36, 52, 56, 64)

For each of the 8 numbers, we have 4 more digits to tag on for which there are 4! = 24 permutations.  Thus there are 8*24 = 192 numbers divisible by 12.

3. divisible by 25

All numbers ending in 00, 25, 50 or 75 are divisible by 25.

Using digits 1 to 6, only those ending in 25 qualify.

Thus that leaves us with 4 digits to make 4! = 24 variations.

Thus there are 24 such numbers.

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60[tex]x^{2}[/tex]−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

Answer:

r = 5√2

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is center, r is radius.

Since we are given 50 as r², we set equal and solve:

r² = 50

r = √50

r = 5√2

Answer:

14 units

Step-by-step explanation:

All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.

Answer:  3/5

Step-by-step explanation:

[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]

Since "a" is a positive integer, disregard a = -10

So the only valid answer is a=3   →  a+2=5

[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]

Answer:

y = kx  where k>0

Step-by-step explanation:

A direct variation is in the form

y = kx

where k is a numerical positive constant ( i.e. > 0 )

Answer:

0

Step-by-step explanation:

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : She writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.

When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Answer:

Step-by-step explanation:

1/8 + c = 4/5

c = 4/5 - 1/8

c = 4/5 × 8/8 - 1/8 × 5/5

= 32+5 / 40

= 37/40

Hope this helps

plz mark as brainliest!!!!!!

Answer:

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

[tex]V = \dfrac{\pi r^2 h}{3}[/tex]

[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]

[tex]V = \dfrac{1}{12} \pi h^3[/tex]

[tex]V = \dfrac{ \pi h^3}{12}[/tex]

Taking the differentiation of volume V with respect to time t; we have:

[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]

we know that:

[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

So;we have:

[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]

[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Answer:

The quantity of oil in the tank is 12,000 liters

Step-by-step explanation:

Firstly, we find the volume of the tank.

The tank is a cuboid, so we find the volume of a cuboid.

Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.

This is because the tank is not full but it is to a height of 1.2m

So mathematically, the volume is calculated as follows;

V = l * b * h

where b = 5m , l = 2m and h = 1.2m

Thus the volume would be ;

V = 5 * 2 * 1.2

V = 12 m^3

But that’s not the quantity of oil.

From the question, 1 cubic meters contains 1000 liters of oil

So 12 cubic meter will contain = 12 * 1000 = 12,000 liters of oil

Answer:

The quantity of oil in the tank is 12,000 liters

Step-by-step explanation:

Firstly, we find the volume of the tank.

The tank is a cuboid, so we find the volume of a cuboid.

Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.

This is because the tank is not full but it is to a height of 1.2m

Answer:

The answer is c.

Step-by-step explanation:

[tex]a_{1} =-1*(-4)x^{n-1}[/tex]

[tex]a_{1} =-1(-4)^{1-1}[/tex]

[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]

Answer:

−76x+76=−76x+76 and 76x+76=76x+76

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

Answer:

The answer to this in simplest radical form is 4160 2/9.

Answer:

40

Step-by-step explanation:

first do what is in the parentheses (4*4) which is 16 then rewrite the whole equation. 71-5(3)-16. then you'll want to multiply 5 times 3 because if there is no sign before the parentheses then it is automatically multiplication. 5 times 3 is 15. rewrite the equation again. 71-15-16 then simply subtract.

Hope this helps! :)

Answer:

12.86

Step-by-step explanation:

Area=ab *siny/2

a=side

b=base

y=angle

put the values and you got the answer...

hope it helps

Answer:20

Step-by-step explanation: The answer is 20 because to find the Area you use the formula of 1/2 x base x height. 8 is the height and 5 is the base.

8 x 5 =40

Then multiply by 1/2 which will equal 20

Answer:

See below for explanation of the examples.

Step-by-step explanation:

Left example

It is an exercise in addition, i.e. 48+122=170, the answer is written in the bottom box.

Right example

It is an exercise in subtraction, i.e. 8 1/2 - 3 1/2 = 5

The answer is written in the bottom box.

There is no indication though as to when to do the addition, and when to do the subtraction.  Perhaps it would be shown in the rest of the page (not shown).

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

=> Probability = 1/10

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Answer:

3. [tex]336[/tex]

Step-by-step explanation:

To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.

So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.

So, the answer is number 3.

Answer:

C. 336

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

Answer:

The answer is option D.

Hope this helps

Answer:

D

Step-by-step explanation:

X-5 is not a factor because is a reminder and 5 is not a zero because

p ( 5)=4

Answer:

8sqrt(3)

Step-by-step explanation:

30-60-90 truangle ratio of lengths of sides:

1 : sqrt(3) : 2

24/d = sqrt(3)/1

d * sqrt(3) = 24

d = 24/sqrt(3)

d = 24/sqrt(3) * sqrt(3)/sqrt(3)

d = 24sqrt(3)/3

d =

Answer:

x² + 2x + 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 4x + 5 + x² - 2x - 2 ← collect like terms

= x² + 2x + 3

Answer:

The measure of angle C is 180 - 3α

Step-by-step explanation:

Given;

triangle ABC, ΔABC

angle A, ∠A  = α

angle B, ∠B = 2α

To calculate angle C, we must recall that, the sum of angles in a triangle is equal to  180°. Angle A, angle B, and angle C make up the total angle in the triangle.

∠A + ∠B  + ∠C = 180

where

∠C  is angle C

α + 2α + ∠C = 180

3α  + ∠C  = 180

∠C = 180 - 3α

∠C = 3(60 - α)

Therefore, the measure of angle C is 180 - 3α

Answer:

180°-3a

Step-by-step explanation:

YOU HAVE TO INSERT DEGREES SYMBOL

Answer:

Some examples: 8888, 8551, 9237, 9441.

Answer:

the answer could be any number from 8500 to 9400

Step-by-step explanation:

hope this helps

Answer:

hope it will help uh.....