An object travels 4/5 miles in one-half hour. What is its speed?

Carla plumbing charges $25 for a service call and $28 per hour, h, for labor for any repair. The total cost , t, for a repair ca

Ulleksa [173]

Answer:

It took 5 hours

Step-by-step explanation:

Because 28 times 5 is 140 plus 25 for the call is 165.

4 0

2 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .

See the attachment for a plot of the line.

7 0

3 years ago

Type a digit that makes this statement true. 6,977,93 is divisible by 5.

Fantom [35]

Answer:

139558.6

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Read this E[2X^2 â€" Y].

djyliett [7]

Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.

If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:

E[2X ² - Y] = 2 E[X ²] - E[Y]

Or, if you're given the expectation and variance of X, you have

Var[X] = E[X ²] - E[X]²

→ E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

6 0

2 years ago

3 2. Write the equation of a line that includes the point (-4, 0) and has a slope of 5 in slope-intercept form- 12 3 y=-=X-2 5 5

Arturiano [62]

Answer:

y= 5x+20

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and a point on the line is (-4,0)

Substituting this information into the equation, we can solve for b

0 = 5(-4) +b

0 = -20+b

Add 20 to each side

0+20 = -20+20+b

20 = b

y = 5x+20

8 0

2 years ago

Read 2 more answers