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2 years ago

Write as a single power of 9 9^6 × 9^3 ÷ 9^4

Mathematics

2 answers:

Svetradugi [14.3K]2 years ago

6 0

Answer:

9^5

Step-by-step explanation:

9^6 × 9^3 9^9

_________ = _________ = 9^5

9^4 9^4

Have a good day and keep learning

bazaltina [42]2 years ago

3 0

Answer:

9^5is the answer.

Step-by-step explanation:

(i)9^6×9^3=9^9 when we multiply we will add the power.

(ii) 9^9÷9^4= 9^5 when we divide we will subtract the power.

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An object of mass 100 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the obje

FrozenT [24]

Answer:

a) v_f = 9.6138*t / ( 1 + 0.1*t)

b) t = 147 s

Step-by-step explanation:

Given:

- The mass of the object m = 100 kg

- The buoyancy force F_b = W / 50

- The weight of the object = W = m*g

- Water resistance F_w = k*v

- Where, k = 10 Ns/m

Find:

a) find the equation of motion of the object.

b) After how many seconds will the velocity of the object be 90 m/sec?

Solution:

- Construct a FBD of the object, three forces acting on the object. Weight downwards, Buoyancy and drag force upwards. Use Newton's Second law of motion to evaluate the acceleration a.

F_net = m*a

W - W/50 - 10*v = m*a

a = 49/50*g - 10/m *v

Plug in the values:

a = 49/50 * 9.81 - 10/100 * v

a = 9.6138 - 0.1*v

- Using the first kinematic equation of motion we have:

v_f = v_i + a*t

object was dropped from rest, v_i = 0, Hence:

v_f = (9.6138 -0.1*v)*t

v_f = 9.6138*t / ( 1 + 0.1*t)

Find the time t when v_f = 90 m/s

90(1 + 0.1*t) = 9.6138*t

90 + 9*t = 9.6138*t

t = 90 / 0.6138 = 147 s

6 0

3 years ago

Which two numbers on the number line have an absolute value of 4?

iris [78.8K]

Answer:

-4 and 4

Step-by-step explanation:

absolute value is decide how far a number is from 0 on the number line.

4 0

3 years ago

Tony wants to buy a new flatscreen TV. At Best Buy, the TV costs $700, but Tony can use a 35% off coupon that he received in the

Lilit [14]

The cheaper option is Best Buy where the TV would close $455 compared to Micro Center which out be $480.

4 0

2 years ago

The sum of two and a number is less than five

Furkat [3]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

Let 'n' be the number.

The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

2 + n < 5

Let us solve the algebraic expression.

$2+n$

Subtract 2 from both sides

$2+n-2$

Simplify

$n$

Thus, the solution is:

$2+n$

Please also check the attached solution line graph.

4 0

3 years ago

On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult

spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

8 0

3 years ago