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3 years ago

Write the equation of the line in slope intercept form for the lone with a slope of 1/3 and a y intercept of (0,4)

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

Slope-intercept from is:

$y=mx+b$

m is the slope and b is the y-intercept. Insert slope:

$y=\frac{1}{3}x+b$

The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:

$y=\frac{1}{3} x+4$

Finito.

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Use the formula, s = m/360

romanna [79]

Answer:

The correct answer ic C

Step-by-step

7 0

4 years ago

HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked

Vinil7 [7]

Answer:

1. $33,000

2. $6077.53

a) 2.72 seconds

b) 0.96 seconds

4. 189 square meters

a) Average Rate of Change = 4 pounds per week, or -4

b) 160 pounds (after 5 weeks)

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

The value of a tractor V(t) decreases over time, t. Its value is given by:

$V(t)=55000-5500t$

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

$V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000$

The value of the tractor after 4 years is $33,000

The value of investment that is growing each year, is given by:

$f(n)=5000(1.05)^{n}$

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

$f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53$

To the nearest cent, the value of the investment would be:

$6077.53

The time it takes of pendulum to make one swing is given by the formula:

$T(L)=2\pi \sqrt{\frac{L}{32}}$

Where L is the length of the pendulum in feet

If L = 6ft, the time it will take is:

$T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72$

About 2.72 seconds

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

$T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96$

So, it will take about 0.96 seconds

The area of weed after t days can be modeled by:

$A(t)=0.006 \pi t^2$

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

$A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5$

Rounded to nearest sq. m, we have the area to be:

189 square meters

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

Average Rate of Change = 4 pounds per week, or -4

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = 160 pounds (after 5 weeks)

The Karvonen formula is given as:

$T=p(220-A)+H(1-p)$

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

Independent Variables = p, A, and H

Dependent Variable = T

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

$T=0.65(220-35)+60(1-0.65)\\T=141.25$

The target heart rate should be: 141 beats per minute (rounded to nearest whole number)

3 0

3 years ago

What is the anwser for 9*8*9*2981=?

goldenfox [79]

it would end up equaling 1931688

3 0

2 years ago

Write the quadratic equation in standard form: 7x + 8 + 2x2 2x + 1 + x2

JulsSmile [24]

Answer:

$3x^2 + 9x +9$

Step-by-step explanation:

Given

$(7x + 8 + 2x^2) + (2x + 1 + x^2)$

Required

The result in standard form

We have:

$(7x + 8 + 2x^2) + (2x + 1 + x^2)$

Remove brackets

$7x + 8 + 2x^2 + 2x + 1 + x^2$

Collect like terms

$7x+ 2x + 8 + 1 + 2x^2+ x^2$

$9x + 9+ 3x^2$

The standard form of a quadratic equation is:

$ax^2 + bx + c$

So, we have:

$9x + 9+ 3x^2$

$3x^2 + 9x +9$

5 0

3 years ago

- A butcher combined 100 lb of hamburger that cost $1.75 per pound with 40 lb of hamburger

slamgirl [31]

Answer:

$315

Step-by-step explanation:

1.75 x 100 = $175

3.50 x 40 =$140

175 + 140 = $315

8 0

3 years ago

Read 2 more answers