I need help with this question thank you

The cost of 250 ft of cable is 2950 what would 40 ft cost

kotegsom [21]

Use ratio and proportion:

$29.50 is to 250 ft. as how much is to 40 ft.

29.5 / 250 = x / 40

x = 40(29.5) / 250

x = 1180 / 250

x = 4.72

40 ft. would cost $4.72

6 0

3 years ago

Read 2 more answers

The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis

mr_godi [17]

Answer:

g(x) = -√(-x +9)

Step-by-step explanation:

The relevant transformations are ...

f(x -h) . . . . . shifts the graph of f(x) right h units
f(x) +k . . . . . shifts the graph of f(x) up k units
-f(x) . . . . . . . reflects the graph of f(x) over the x-axis
f(-x) . . . . . . . reflects the graph of f(x) over the y-axis

<h3>Application</h3>

Applying the transformations in the specified order, we have ...

f(x) = √x

f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left

-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis

-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis

The shifted, reflected function is ...

g(x) = -√(-x +9)

__

<em>Additional comment</em>

The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.

6 0

1 year ago

Use the distance formula from today’s lesson to find the distance between the point P(−2, 1) and the line y = 2x.

Serga [27]

Answer:

Distance from the point to the line will be $\sqrt{5}m$

Step-by-step explanation:

We have given the equation of the line is y = 2x\

So the equation of line will be y-2x = 0

Point from which we have to find the distance is (-2,1)

Distance from a point to line is given by $d=\frac{Ax+By+C}{\sqrt{A^2+B^2}}$ , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

So $d=\frac{-2\times -2+1\times 1+0}{\sqrt{(-2)^2+1^2}}=\sqrt{5}m$

So distance from the point to the line will be $\sqrt{5}m$

7 0

3 years ago

In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vacci

Dahasolnce [82]

Here is the full question.

In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vaccine for malaria‚- a tropical disease that kills between 1.5 and 2.7 million people every year.1 Suppose the vaccine is tested with 700 volunteers in a village who are malaria-free at the beginning of the trial. Three hundred of the volunteers will get the experimental vaccine and the rest will not be vaccinated. Suppose that the chance of contracting malaria is 10% for those who are not vaccinated.

Construct a two-way table to show the results of the experiments if:

(a) The vaccine has no effect

(b) The vaccine cuts the risk of contracting malaria in half

Answer:

Step-by-step explanation:

From the given information above:

Suppose, there is no effect from the vaccine, the risk of having malaria for vaccine & no vaccine is equal to 0.1

Now, the Probability of not having malaria if vaccinated or no vaccinated = 1 - 0.1 = 0.9

Therefore: the table is shown below as follows:

Malaria No Malaria Total

Vaccinated 300 × 0.1 = 30 300 × 0.9 = 270 300

No Vaccine 400 × 0.1 = 40 400 × 0.9 = 360 700-300 = 400

Total 40 + 30 = 70 270 + 360 = 630 700

(b)

The risk of malaria for vaccinated if the vaccine cuts the risk of contracting malaria in half are equal to 0.1/2 = 0.05

Thus; the probability of not getting malaria if vaccinated = 1 - 0.05 = 0.95

The table can then be computed as follows:

Malaria No Malaria Total

Vaccinated 300 × 0.05 = 15 300 × 0.95 = 285 300

No Vaccine 400 × 0.1 = 40 400 × 0.9 = 360 700-300 = 400

Total 40 + 15 = 55 285 + 360 = 645 700

7 0

3 years ago

PLEASE HELP I ONLY HAVE UNTIL 9:30 TO COMPLETE THIS (It's 9:07) PLEASE ANSWER ALL THREE!!!

Gekata [30.6K]

Answer:

1 a 2d 3a

Step-by-step explanation:

hope this help even though I'm late

5 0

2 years ago