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3 years ago

Can you help me on this math problem please?

Mathematics

1 answer:

Nikitich [7]3 years ago

4 0

Answer:

The expression is 1/16 when x = -2, The expression is 64 when x = 3.

Step-by-step explanation:

Part A)

Evaluate 4^x for x = -2. Write your answers in simplest form:

= 4^(-2)

= 1/4^2 ( 1 / 4 * 4)

= 1/16

Part B)

Evaluate 4^x for x = 3. Write your answers in simplest form:

=4 ^ 3

= 4 * 4 * 4

= 16 * 4

= 64

I hope this helps! Make sure to give me the brainliest answer since it is great appreciated. Thank You!

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Nine times a number decreased by 16

Setler79 [48]

Answer:

9 · x - 16

Explanation:

Nine times a number: 9 · x

Decreased by 16: - 16

Put them together: 9 · x - 16

7 0

3 years ago

What is BC ? Enter your answer in the box.

omeli [17]

Answer:

Before Christ

Step-by-step explanation:

This is a historical term which is the opposite of AD(Anno Domini)

I do not know if I have spelt Anno Domini correctly but it does not matter

4 0

3 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be = $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

So, the length of the trip of Train Z will be = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

3 0

3 years ago

Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a numb

just olya [345]

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let $a$ be a number.

When we multiply a number by 10:

$a \times 10 = 10 a$ (One '0' is increased in the number)

For example:

$23 \times 10 = 230$

Considering a decimal number:

$2.3 \times 10 = 23$

Multiplying a number with 0.1 (which is actually $\frac{1}{10}$ ) means dividing the number by 10.

$23\times 0.1 =23\times \frac{1}{10}=2.3$

Considering a decimal number:

$2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23$

Therefore, When multiplying a number by 0.1, move the decimal to the left.

6 0

3 years ago

Read 2 more answers

Pierre uses 30 grams of chocolate to make

Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

3 0

3 years ago