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3 years ago

How many 7 digit numbers have6 9 s and no 9 in ones place

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

Answer:

1062882

Step-by-step explanation:

Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :

The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)

So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882

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-8x + 2x – 16 < -5x + 7x

lana [24]

Answer:

x > 2

Step-by-step explanation:

Given

- 8x + 2x - 16 < - 5x + 7x ← simplify both sides

- 6x - 16 < 2x ( subtract 2x from both sides )

- 8x - 16 < 0 ( add 16 to both sides )

- 8x < - 16 ( divide both sides by - 8 )

Remembering to reverse the symbol as a consequence of dividing by a negative value.

x > 2

5 0

3 years ago

15. Given A (X) define the characteristic function A : X {0, 1} by Suppose that A and B are subsets of X. (i) Prove that the fun

il63 [147K]

Answer:

Step-by-step explanation: Step explained in the attached file

4 0

3 years ago

MATH QUESTION!! WILL MARK BRAINLIEST!! PAST DUE HELP ASAP!!!

monitta

Answer:

Proof below

Step-by-step explanation:

Right Triangles

In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.

In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

$c^2=a^2+b^2$

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.

The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

$CM=\frac{1}{2}AB$

First, find the coordinates of the midpoint M(xm,ym):

$\displaystyle x_m=\frac{0+3}{2}=1.5$

$\displaystyle y_m=\frac{4+0}{2}=2$

Thus, the midpoint is M( 1.5 , 2 )

Calculate the distance CM:

$CM=\sqrt{(1.5-0)^2+(2-0)^2}$

$CM=\sqrt{2.25+4}=\sqrt{6.25}=2.5$

CM=2.5

Now find the distance AB:

$AB=\sqrt{(3-0)^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}$

AB=5

AB/2=2.5

It's proven CM is half of AB

3 0

3 years ago

What is the value of x to the nearest degree? a. 24 b. 42 c. 48 d. 84

Leno4ka [110]

C. 48

Tan=opposite:adjacent
Tan^-1(11/10) = 47.72

6 0

3 years ago

If P(event A) = 0.25, what is P(not event A)?

xz_007 [3.2K]

Answer:

0.75

Step-by-step explanation:

The probability of P(not event a) is equal to 1-p(event A)

3 0

3 years ago