Please help ?? :$):’jfidifkvk

Which is the slope of the line that passes through the points (3,17) and (7,25)? a slope = 1/2 b slope = 2 c slope = −2 d slope

Ierofanga [76]

Slope is y2-y1/x2-x1
so, 25-17/7-3
8/4=2
The answer should be b

5 0

3 years ago

Solve. Will give brain thing

dezoksy [38]

Answer:

Step-by-step explanation:

-1/2 + (3/4 x 4/9)

-1/2 + (3/9)

= - 1/2 + (1/3)

= - 1/6

8 0

3 years ago

Researchers measured the bone mineral desnsity of the spines of 94 women who had taken teh drug CEE. The mean was 1.016 g/cm2, a

Valentin [98]

Answer:

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{0.155}{\sqrt{94}} = 0.0310$

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²

The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

6 0

3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

3 years ago

Determine the constant of proportionality,k,of Kevin’s wage.

ankoles [38]

Answer:

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

Step-by-step explanation:

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Solution

y = kx is a proportional variation

Where,

y and x are represent two different variables

k represent constant of proportionality

From the attached table,

Let

y = wages earned (in dollars)

x = hours worked

To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)

Using any points on the table

Take (8,66.00) for example

constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)

= 66.00/8

= 8.25

k = $8.25 per hour

B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)

Using (9, 81.00)

k = 81.00/9

= 9

Greg's k = $9 per hour

C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)

Using (6, 57.00)

k = 57.00/6

= 9.5

Savannah's k = $9.5 per hour

Therefore,

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

7 0

3 years ago