All categories

2 years ago

Heyy!!

Mathematics

1 answer:

rosijanka [135]2 years ago

8 0

<u>Answer:</u>

$6^{10}$

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

$\boxed{a^m \times a^n = a^{m + n}}$ ,

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

$6^2 \times 6^8$

⇒ $6^{2 + 8}$

⇒ $\bf 6^{10}$

You might be interested in

A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o

ExtremeBDS [4]

Answer: $t=\frac{17}{v}+\frac{12}{v-2}$

Step-by-step explanation:

Given: A tourist first walked 17km with a speed of v km/h.

Since $Speed=\frac{distance}{time}$

therefore, $Time=\frac{distance}{speed}$

Let $t_1$ be the time he walked with speed v.

then $t_1=\frac{17}{v}$

Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.

Let $t_2$ be the time he hiked 12 km,

Then $t_2=\frac{12}{v-2}$

The total time for the whole trip is given by:-

$t=t_1+t_2=$

Substitute the values of $t_1$ and $t_2$ in the equation, we get

$t=\frac{17}{v}+\frac{12}{v-2}$

4 0

3 years ago

The scale of a map says that 4 cm represents 5 km.

andriy [413]

Answer:

a. 3.2 cm

b. 6.25 km

Step-by-step explanation:

(4 km)/(5 km) = 0.8

4 km is 0.8 of 5 km, so in the map it is 0.8 of 4 cm.

0.8 * 4 cm = 3.2 cm

Answer: 3.2 cm

(5 cm)/(4 cm) = 1.25

5 cm is 1.25 times 4 cm, so it represents 1.25 * 5 km.

1.25 * 5 km = 6.25 km

Answer: 6.25 km

3 0

3 years ago

What is the solution to the system of equations g(x)=-2x-3 f(x)=x+1-4

Ainat [17]

Answer: Not positive that this is right but here is what I got.

Step-by-step explanation:

Set up the composite result function.

g ( f )( x )

Evaluate g(f)(x) by substituting in the value f into g

(2x - 3) + 1

Add -3 and 1

g ( 2 x − 3 ) = 2 x − 2

4 0

3 years ago

Y=1/2x+3 y=5 i need help

Ilya [14]

Answer:

x=4

Step-by-step explanation:

4 0

3 years ago

Michael ate 6 bananas. This represents

pychu [463]

Answer:

2.4

Step-by-step explanation:

40 percent * 6 =

(40:100)* 6 =

(40* 6):100 =

240:100 = 2.4

Now we have: 40 percent of 6 = 2.4

Question: What is 40 percent of 6?

Percentage solution with steps:

Step 1: Our output value is 6.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$6=100\%$.

Step 4: Similarly, $x=40\%$.

Step 5: This results in a pair of simple equations:

$6=100\%(1)$.

$x=40\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{6}{x}=\frac{100\%}{40\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{6}=\frac{40}{100}$

$\Rightarrow x=2.4$

Therefore, $40\%$ of $6$ is $2.4$

5 0

2 years ago