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PSYCHO15rus [73]

3 years ago

6

Write an equation in POINT-SLOPE FORM of the line that has an x-intercept of -3 and a y-intercept of -2. hurryyy if u dont know

leave it alone cus i need this fr

1 answer:

Finger [1]3 years ago

6 0

Answer:

y=1/2-3-2

Step-by-step explanation:

y-int is -2

x int is -3

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Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression

Dmitriy789 [7]

Answer:

2.2

Step-by-step explanation:

Substitute 3.5 into the equation for x and simplify the right side to get 592.8. 595 is 2.2 greater than 592.8.

4 0

3 years ago

Which of the following are solutions to the equation below?<br><br> x^2-2x-24-0

Dominik [7]

Answer:

x=-4

x=6

Step-by-step explanation:

Lets put to work the well known quadratic equation:

$x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}$

Let us also, remember the given equation: x^2-2x-24=0

Where 'a' would be equals to 1, 'b' equals to -2 and c equals to -24.

The quadratic equations with those values is:

$\frac{2 +/- \sqrt{4+96} }{2}$

Where we obtain two values.

x1= -4

and x2= 6

4 0

3 years ago

If you got a 1.25% interest rate how long would you need to invest $6000 if you wanted to earn $105 in interest

gavmur [86]

Answer:

1.4 years

Step-by-step explanation:

Use the formula for simple Interest:

$I = P * r * t$

Where I is the interest gained (in your case $105),

P is the principal (in your case $6000),

r is the annual interest rate in decimal form (in your case 0.0125)

and t is the time (in years) you need to find.

Therefore, we $105 = 6000 * 0.0125 * t = 75 * t\\t = \frac{105}{75} = 1.4 years$ solve for "t" in the following equation:

3 0

3 years ago

A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. The initial pos

jeka57 [31]

Part A - The average value of v(t) over the interval (0, π/2) is 6/π

Part B - The displacement of the yo-yo from time t = 0 to time t = π is 0 m

Part C - The total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

<h3>Part A: Find the average value of v(t) on the interval (0, π/2)</h3>

The average value of a function f(t) over the interval (a,b) is

$f(t)_{avg} = \frac{1}{b - a} \int\limits^b_a {f(t)} \, dx$

So, since velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. Its average value over the interval (0, π/2) is given by

$v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {v(t)} \, dt$

Since v(t) = 3cost, we have

$v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {3cos(t)} \, dt\\= \frac{3}{\frac{\pi }{2}} \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= \frac{6}{{\pi}} [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= \frac{6}{{\pi}} [{sin(\frac{\pi }{2})} - sin0]\\ = \frac{6}{{\pi}} [1 - 0]\\ = \frac{6}{{\pi}} [1]\\ = \frac{6}{{\pi}}$

So, the average value of v(t) over the interval (0, π/2) is 6/π

<h3>Part B: What is the displacement of the yo-yo from time t = 0 to time t = π?</h3>

To find the displacement of the yo-yo, we need to find its position.

So, its position x = ∫v(t)dt

= ∫3cos(t)dt

= 3∫cos(t)dt

= 3sint + C

Given that at t = 0, x = 3. so

x = 3sint + C

3 = 3sin0 + C

3 = 0 + C

C = 3

So, x(t) = 3sint + 3

So, its displacement from time t = 0 to time t = π is

Δx = x(π) - x(0)

= 3sinπ + 3 - (3sin0 + 3)

= 3 × 0 + 3 - 0 - 3

= 0 + 3 - 3

= 0 + 0

= 0 m

So, the displacement of the yo-yo from time t = 0 to time t = π is 0 m

<h3>Part C: Find the total distance the yo-yo travels from time t = 0 to time t = π. (10 points)</h3>

The total distance the yo-yo travels from time t = 0 to time t = π is given by

$x(t) = \int\limits^{\pi}_0 {v(t)} \, dt\\= \int\limits^{\pi }_0 {3cos(t)} \, dt\\= 3 \int\limits^{\pi }_0 {cos(t)} \, dt\\ = 3 \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt + 3\int\limits^{\pi }_{\frac{\pi }{2}} {cos(t)} \, dt\\= 3 \times 2\int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= 6 [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= 6[{sin\frac{\pi }{2} - sin0]\\\\= 6[1 - 0]\\= 6(1)\\= 6$

So, the total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

Learn more about average value of a function here:

brainly.com/question/15870615

#SPJ1

4 0

1 year ago

Need some help with this one Two questions

rosijanka [135]

Answer:

4,54

Step-by-step explanation:

what i find useful is if you flip the percentage of whatever, it makes it pretty easy. in this situation itd be 50% of 8, which is 4. for the total price, you just add the tax to the price

5 0

3 years ago

Read 2 more answers