Determine whether the following events are mutually exclusive:

Choosing a red card or a spade out of a standard deck of cards.

Answer:

41

Step-by-step explanation:

9x^2-4x-3 = ? when x=-2

9(-2)^2-4(-2)-3 = ?

9(4)-4(-2)-3 = ?

36+8-3=?

44-3=?

41=?

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

Step-by-step explanation:

[tex]8x - 3 = 5 + 4y[/tex]

Isolate y first subtract 5 from both sides

[tex]8x - 8 = 4y[/tex]

Divide both sides by 4.

[tex] \frac{8x - 8}{4} = y[/tex]

[tex]2x - 2 = y[/tex]

y= 1

Step-by-step explanation:

Solve for y:

8x - 3 = 5 + 4y

8x = 4y + 5+3

Divide both sides by 8

x = 1÷2y + 1

plug into equation

8 (1÷2y +1) - 3 = 5 + 4y

Distribute

8÷2+ 8 - 3 = 5 + 4y

4 + 5 -5 = 4y

Combine like item

4 = 4y

divide both sides by 4

y= 1

[tex]\frac{9^2}{9^7}=9^{2-7}=9^{-5}=\frac{1}{9^5}[/tex]

Answer:

First train 364, second train 355.3

Step-by-step explanation:

Let's me just say

First train = x

Second train = y

Easier to type like that

So

x + y = 719.3

they say " first train is 8.7 mph faster than that of the second train "

Therefore

x = y + 8.7

Now u have these two equations

x + y = 719.3

x = y + 8.7

Now since u know what is x, just put it in your first equation

x + y = 719.3

y + 8.7 + y= 719.3

2y = 710.6

= 355.3

Therefore the speed of the first train is

x + y = 719.3

x + 355.3 = 719.3

x =364

Step-by-step explanation:

Answer:

x = -2/ 9

Step-by-step explanation:

[tex] \frac{2}{5}(x - 2) = 4x \\ \frac{5}{2} \times \frac{2}{5}(x - 2) = 4x \times \frac{5}{2} \\ x - 2 = 10x \\ 9x = - 2 \\ x = \frac{ - 2}{9} [/tex]

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Answer:

x² - 28x√x + 294x - 1372√x + 2404

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  x² - 28x√x + 294x - 1372√x + 2404

Answer:

These triangles are simliar because they're all scalene.

Step-by-step explanation:

The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.

The triangle BCD is also an acute triangle and scalene.

The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.

Answer:

y = -6/19x - 2

Step-by-step explanation:

First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].

-2-4/10-(-9)

-6/19

Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.

y = -6/19x + b

4 = -6/19(-9) + b

4 = 54/19 + b

-2 = b

Third we will input all the data we solved for back into the formula.

y = -6/19x - 2

Best of Luck!

Answer:

7x-49=21

Step-by-step explanation:

Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

He was 16 years old.

Step-by-step explanation:

[tex] = (2021 - 5) - 2000 \\ = 2016 - 2000 \\ = 16[/tex]

Answer:

16 years old.

Step-by-step explanation:

Today's year is 2021

So,

[tex]2000 + 21 = 2021[/tex]

So, whoever's born in 2000, would be 21 years old in 2021. How old was Kollie five years ago?

[tex]21 - 5 = 16[/tex]

Kollie was 16 years old.

Step-by-step explanation:

Fractions are numbers and can be shown on a number line:

Fractions represent equal parts of a whole object or shape:

Whole numbers can be expressed as fractions: For example: 4 = 4⁄1 and 1 = 4⁄4

Answer

Hello

how are you

Answer:

Answer:

The answer is D. 5 to 2

Step-by-step explanation:

It sounds like they want the ratio to be given in that order.

Hope that helps!

Answer:

500

Step-by-step explanation:

Greatest possible number with digits 5,1,3 is 531.

round to hundred =500

Answer:

x + 6 = 9

Step-by-step explanation:

6 more means +6. Therefore if 6 more than x is 9, the equation would be

[tex]x + 6 = 9[/tex]

Answer:

6+x=9

Step-by-step explanation:

9514 1404 393

Answer:

  Rs 3200

Step-by-step explanation:

The actual selling price was 20% below the cost price, so was ...

  sp = cp(1 -20%) = 0.80cp

Had the selling price been raised, the selling price would have been 5% above the cost price:

  sp +800 = cp(1 +5%) = 1.05cp

Subtracting the first equation from the second gives ...

  (sp +800) -(sp) = (1.05cp) -(0.80cp)

  800 = 0.25cp . . . . . . . simplify

  3200 = cp . . . . . . . . multiply by 4

The cost price was Rs 3200.

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

Answer:

$10.24

Step-by-step explanation:

12(1.30)=12.36

22.60-12.36=10.24

Step-by-step explanation:

7[3]

3[7]

I don't hv the square root key

plss mark brainliest