Given the equation y = 0.2 x 4^x , find x when y = 1000

There were 200 people who voted at the town council meeting. Of these people, 40% voted for building a new basketball court in t

Nezavi [6.7K]

120 people
40% of 200 is 80
200-80=120
so 120 people voted against the basketball court

3 0

3 years ago

Read 2 more answers

This 2 pls i need help with explanation sum

Nataliya [291]

9514 1404 393

Explanation:

An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.

The above relation tells us ...

∠PRS = ∠PQR +∠QPR = 2q +2p

Then ...

∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p

and

∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior

q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR

p = ∠QTR = 1/2(∠QPR) . . . . . subtract q

__

For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...

∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°

Substituting the congruent angles, this gives ...

∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation

4 0

3 years ago

Simplify the expression.

sergiy2304 [10]

Answer:

The simplified expression is:

⇒ $13x-8$

Step-by-step explanation:

Given expression:

$(9x + \frac{1}{2})+(4x-8\frac{1}{2})$

To simplify the given expression.

Solution:

In order to simplify, we will combine the like terms by removing the parenthesis.

We have:

⇒ $9x + \frac{1}{2}+4x-8\frac{1}{2}$

Combining like terms.

⇒ $9x+4x+\frac{1}{2}-8\frac{1}{2}$

⇒ $13x+\frac{1}{2}-8\frac{1}{2}$

In order to combine fractions, we will combine the whole number and the fraction separately.

⇒ $13x-8+(\frac{1}{2}-\frac{1}{2})$

⇒ $13x-8+0$

Thus, the simplified expression is:

⇒ $13x-8$

7 0

4 years ago

The function f(x)=5000(0.98)0.3x represents the number of white-blood cells, per cubic millimeter, in a patient x days after beg

borishaifa [10]

The average is about 40 cubic millimeters

7 0

3 years ago

Read 2 more answers

A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st

professor190 [17]

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3. Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

7 0

3 years ago