The equation tan^2x+1=sec^2xis an identity. A.True B.False

Marty is taking piano lessons. She is going to practice every afternoon. The 1st week she practiced for 11 minutes each day. The

defon

Answer:

$m=7w+4$

Step-by-step explanation:

Linear Modeling

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

$\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)$

Let's plug in our values

$\displaystyle m-11=\frac{25-11}{3-1}(w-1)$

Simplifying:

$m-11=7w-7$

$\boxed{m=7w+4}$

3 0

3 years ago

A study is done by a community group in two neighboring colleges to determine which one graduate's students with more math class

ozzi

Answer:

thats a long question my friend

Step-by-step explanation:

7 0

3 years ago

if you deposit $500 at an interest rate of 3% for four years, how much will you receive when you withdraw it from the bank?

Ray Of Light [21]

1st year 500* 0.03 = 15+500=515
2nd year 515*0.03= 15.45 + 515 = 530.45
3rd year 530.45*0.03= 15.9135 + 530.45 = 546.3635
4th year 546.3635 * 0.03 = 16.390905 + 546.3635 = 562.754405
562.754405

8 0

3 years ago

) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

8 0

3 years ago

What is the area of triangle ABC ? round to the nearest square unit ?

mash [69]

Answer: 33 square units

Step-by-step explanation:

Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.

Heron's formula:-

$\text{Area of triangle}=\sqrt{s(s-a)(s-b)(s-c)}$ , where s is the semiperter and a,b and c are the side-lengths of the triangle.

Let a=16 , b=10 and c=8

Then,

$s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17$

Using Heron's formula:-

$\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}$

5 0

3 years ago