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snow_tiger [21]
3 years ago
5

A person can order a new car with a choice of 9 possible​ colors, with or without air​ conditioning, with or without automatic​

transmission, with or without power​ windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these​ options?
Mathematics
2 answers:
Andrej [43]3 years ago
6 0

Answer:144

Step-by-step explanation:

larisa [96]3 years ago
3 0

Answer:

9

Step-by-step explanation:

mnbvcdshj

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What kind of questions should you ask during an interview
alexdok [17]

Answer:

depends to who ur talking to  

Step-by-step explanation:

have fun in your interview

6 0
3 years ago
Find the volume please and Katie, why are you deleting my questions?
Rina8888 [55]

Volume of the prism = 75 cubic feet

Solution:

The image given is a rectangular prism (or) a cuboid.

Area of base = l × b = 25 square feet

Height of the prism = 3 feet

Volume of the prism = l × b × h

                                  = (l × b) × h

                                  = 25 × 3

                                  = 75 cubic feet

Volume of the prism = 75 cubic feet

Hence, the volume of the prism is 75 cubic feet.

8 0
3 years ago
Read 2 more answers
find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis​
stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."​

3 0
3 years ago
Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options. f(x) has a limited rang
PolarNik [594]

Answer:

f(x) has a limited range

f(x) has a maximum at the point (0, 2)

f(x) has a y-intercept at the point (0, 2).

Step-by-step explanation:

Given the function;

f(x) = x^2+2

The domain is the value of the input variables for which the function will exist. According to the expression given, the function exists on all real values of x. The same goes with range which deals with the output values. It also exists on all real values from 2 and above.

Hence f(x) have a limited range (since values less than 2 are not included compare to domain that exists on all real values) and does not have a restricted domain.

For the x intercept, x intercept occur at y = 0

substitute y = 0 into the function and get y

if y = f(x)

y = x^2+2

0 = x^2 + 2

x^2 = -2

x = 2i

Hence  f(x) does not have an x-intercept of (2, 0)

For the y intercept, y intercept occur at x = 0

substitute x = 0 into the function and get y

if y = f(x)

y = x^2+2

y = 0^2 + 2

y = 2

Hence  f(x) has a y-intercept at point (0, 2)

f(x) is at maximum if d(fx))/dx = 0

d(fx))/dx  = 2x

since  d(fx))/dx  = 0

0 = 2x

x = 0

substitute x = 0 into the function

f(x) = x^2 + 2

y = 0^2+2

y = 2

Hence f(x) has a maximum at the point (0, 2)

5 0
2 years ago
Read 2 more answers
Mrs. Swanson gives out only one type of candy for Halloween. The local
xxTIMURxx [149]

Answer:

Cost of  18 pounds candy  = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies  = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost  $7.50

⇔ 1 pound of same candy costs \frac{7.50}{6}   =   $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔   Cost of 6 x 3 =  18 pounds candy =  $7.50 x  3 = $22.5

Cost of 10 pounds candy =  10 x (Cost of 1 pound candy)

= 10 x ($1.25)  = $12.5

The unit rate for butterscotch candies   = Cost of 1 pound of candies

= $1.25

8 0
3 years ago
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