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DanielleElmas [232]

3 years ago

7

Pleaseeeee please help me out.......

2 answers:

rjkz [21]3 years ago

7 0

Answer:

A

Step-by-step explanation:

Both lines start and end at x = - 2

The upper line has a positive slope and a y- intercept of + 4

The start has a closed circle indicating x can equal 2, thus

x + 4 x ≥ - 2

The lower line has a negative slope and a projected y- intercept of - 2

The end has a closed circle but cannot equal - 2 as the other line can equal - 2, thus

- x - 2 x < - 2

Hence

- x - 2 if x < 2

x + 4 if x ≥ - 2 → A

SIZIF [17.4K]3 years ago

4 0

The answer is C hope this helps

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What is sin 45°?<br> Lol I need help

Dahasolnce [82]

Answer:

1/ √2

Step-by-step explanation:

Here, we want to get the value of sin 45

Mathematically the sine is the ratio of the opposite to the hypotenuse

The opposite here is 1 while the hypotenuse is

√2

so the value of sin 45 will be;

1/ √2

6 0

3 years ago

I need help on the question in the picture.

Zigmanuir [339]

Answer:

A. There is no solution

Step-by-step explanation:

$\frac{1}{3}$ (12x - 6) = 4x - 9

Evaluate.

4x - 2 = 4x - 9

Deduct 4x from both sides of the equation.

-2 = -9

Multiply both sides by (-1).

2 ≠ 9

Since 2 does not equal to 9, this equation does not make sense and thus does not have a solution.

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3 years ago

What is 5 x 3/7 !!! 15 POINTS !!

Sav [38]

Answer: 13/7

Step-by-step explanation: So you add a one on the bottom of the 5 then multiply it. 5X3=13 and 1X7= 7 then you get 13/7.

8 0

3 years ago

City A had a population of 10000 in the year 1990. City A’s population grows at a constant rate of 3% per year. City B has a pop

Georgia [21]

Answer:

City A and city B will have equal population 25years after 1990

Step-by-step explanation:

Given

Let

$t \to$ years after 1990

$A_t \to$ population function of city A

$B_t \to$ population function of city B

<u>City A</u>

$A_0 = 10000$ ---- initial population (1990)

$r_A =3\%$ --- rate

<u>City B</u>

$B_{10} = \frac{1}{2} * A_{10}$ ----- t = 10 in 2000

$A_{20} = B_{20} * (1 + 20\%)$ ---- t = 20 in 2010

Required

When they will have the same population

Both functions follow exponential function.

So, we have:

$A_t = A_0 * (1 + r_A)^t$

$B_t = B_0 * (1 + r_B)^t$

Calculate the population of city A in 2000 (t = 10)

$A_t = A_0 * (1 + r_A)^t$

$A_{10} = 10000 * (1 + 3\%)^{10}$

$A_{10} = 10000 * (1 + 0.03)^{10}$

$A_{10} = 10000 * (1.03)^{10}$

$A_{10} = 13439.16$

Calculate the population of city A in 2010 (t = 20)

$A_t = A_0 * (1 + r_A)^t$

$A_{20} = 10000 * (1 + 3\%)^{20}$

$A_{20} = 10000 * (1 + 0.03)^{20}$

$A_{20} = 10000 * (1.03)^{20}$

$A_{20} = 18061.11$

From the question, we have:

$B_{10} = \frac{1}{2} * A_{10}$ and $A_{20} = B_{20} * (1 + 20\%)$

$B_{10} = \frac{1}{2} * A_{10}$

$B_{10} = \frac{1}{2} * 13439.16$

$B_{10} = 6719.58$

$A_{20} = B_{20} * (1 + 20\%)$

$18061.11 = B_{20} * (1 + 20\%)$

$18061.11 = B_{20} * (1 + 0.20)$

$18061.11 = B_{20} * (1.20)$

Solve for B20

$B_{20} = \frac{18061.11}{1.20}$

$B_{20} = 15050.93$

$B_{10} = 6719.58$ and $B_{20} = 15050.93$ can be used to determine the function of city B

$B_t = B_0 * (1 + r_B)^t$

For: $B_{10} = 6719.58$

We have:

$B_{10} = B_0 * (1 + r_B)^{10}$

$B_0 * (1 + r_B)^{10} = 6719.58$

For: $B_{20} = 15050.93$

We have:

$B_{20} = B_0 * (1 + r_B)^{20}$

$B_0 * (1 + r_B)^{20} = 15050.93$

Divide $B_0 * (1 + r_B)^{20} = 15050.93$ by $B_0 * (1 + r_B)^{10} = 6719.58$

$\frac{B_0 * (1 + r_B)^{20}}{B_0 * (1 + r_B)^{10}} = \frac{15050.93}{6719.58}$

$\frac{(1 + r_B)^{20}}{(1 + r_B)^{10}} = 2.2399$

Apply law of indices

$(1 + r_B)^{20-10} = 2.2399$

$(1 + r_B)^{10} = 2.2399$ --- (1)

Take 10th root of both sides

$1 + r_B = \sqrt[10]{2.2399}$

$1 + r_B = 1.08$

Subtract 1 from both sides

$r_B = 0.08$

To calculate $B_0$ , we have:

$B_0 * (1 + r_B)^{10} = 6719.58$

Recall that: $(1 + r_B)^{10} = 2.2399$

So:

$B_0 * 2.2399 = 6719.58$

$B_0 = \frac{6719.58}{2.2399}$

$B_0 = 3000$

Hence:

$B_t = B_0 * (1 + r_B)^t$

$B_t = 3000 * (1 + 0.08)^t$

$B_t = 3000 * (1.08)^t$

The question requires that we solve for t when:

$A_t = B_t$

Where:

$A_t = A_0 * (1 + r_A)^t$

$A_t = 10000 * (1 + 3\%)^t$

$A_t = 10000 * (1 + 0.03)^t$

$A_t = 10000 * (1.03)^t$

and

$B_t = 3000 * (1.08)^t$

$A_t = B_t$ becomes

$10000 * (1.03)^t = 3000 * (1.08)^t$

Divide both sides by 10000

$(1.03)^t = 0.3 * (1.08)^t$

Divide both sides by $(1.08)^t$

$(\frac{1.03}{1.08})^t = 0.3$

$(0.9537)^t = 0.3$

Take natural logarithm of both sides

$\ln(0.9537)^t = \ln(0.3)$

Rewrite as:

$t\cdot\ln(0.9537) = \ln(0.3)$

Solve for t

$t = \frac{\ln(0.3)}{ln(0.9537)}$

$t = 25.397$

Approximate

$t = 25$

7 0

3 years ago

What is the value of log256 4

Sauron [17]

Answer: 1/4 or 0.25

Step-by-step explanation: We will solve log256 4 in several steps to solve for x.

Step 1: Log256 4 = x

Step 2: 256x = 4 ( Next, Use exponents )

Step 3: (2^8)x = 2^2

Step 4: 2^8x = 2^2

Step 5: 8x = 2 (Solve for x0

Step 6: 8x/8 = 2/8 = x = 1/4

Step 7 (The Answer) x, or log256 4 = 1/4 or 0.25

4 0

3 years ago