All categories

2 years ago

What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

3 0

Answer:

144

Step-by-step explanation:

i just did the test

You might be interested in

Can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?

Alborosie

Like this , this is the rules of index

6 0

3 years ago

Read 2 more answers

Evaluate -6-(-6) +7+(-4) + (-1).

frutty [35]

solution :--

= -6 + 6 + 7 - 4 - 1

= 6 + 7 - 6 - 4 - 1

= 13 - 11

3 0

3 years ago

Rewrite the product as a sum: 10cos(5x)sin(10x)

mote1985 [20]

Answer:

10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]

8 0

2 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

2 years ago

Help please I beg if you can

MAVERICK [17]

Answer:

24.30 Difference, sale price 56.70

Step-by-step explanation:

30% off 81.00 is 56.70

The difference is 24.30

7 0

2 years ago

What is the exponential expression for the numerical expression ​14⋅14⋅14⋅14​?

What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?