Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?

Answer:

8.7%

Step-by-step explanation:

the formula for  % error is = [ (approx. - exact ) / exact ] x 100

so, we know the approx value was 250 while the exact one is 230

thus; [ ( 250-230 ) / 230 ] x 100

= 8.7%

Answer:

52

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all you have to put the zeros into factor form.

y1 = (x + 2)(x - 5)

Notice that the x changes sigh. You say that the zeros are -2 and  5. To get y1 to go to zero, you must make x the opposite sign of what you are given.

Now you have to expand the factored form to get the standard form

y = x^2 + 2x - 5x - 10

y = x^2 - 3x - 10

That's not the right answer.

f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3

-3(f(x)) = -3(x + 2)(x - 5)

-3(f(x)) = -3(x^2 - 3x - 10)

f(x) = -3x^2 + 9x + 30    

f(0) = -3(0)^2 + 9(0) + 30

f(0) = 30

The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.

See the graph below.

Answer: 30 meters.

Step-by-step explanation:

Since the scale used by Bruce in the drawing that she made is:

1 milimeter = 10 meters

If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:

1/3 = 10/x

Cross multiply

1 × x = 3 × 10

x = 30

Therefore, the actual length is 30 meters.

Answer:

The piecewise function for the taxi fare is:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex]

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex]

Step-by-step explanation:

We must use the following piecewise function:

(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex] (1)

Where:

[tex]F(t)[/tex] - Taxi fare, in monetary units.

[tex]m[/tex] - Number of miles driven, in miles.

(ii) And 0.36 for each additional fifth of a mile:

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex] (2)

Answer:

80

Step-by-step explanation:

8*10

Answer:

The new figure would be 9 by 15

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Sum means addition so:

-9 + 18/2

(18/2 = 9)

-9 + 9

0

Answer: 0

Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.

Answer:

35 cars

Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars

Answer:

I believe the answer is 35.

Step-by-step explanation:

15+15=30

30+5=45

1 hour = 5 cars

3 hours = 15 cars

6 hours = 30 cars

7 hours = 35 cars

15 divided by 3 = 1

so yeah hope this helps you.

Answer:

A and C

Step-by-step explanation:

A: 5 tens = 50

9 tenths = 0.9

6 hundreths = 0.06

= 50.96

C: 5*10 = 50 + 9 * 1/10 = 0.9 + 6 * 1/100 = 50.96

Answer:

D

Step-by-step explanation:

you would see this as correct because it has a larger numerator than its denominator.

Answer:

A = 180 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

The triangle on the left is right with h = 24 (7- 24- 25 triangle )

Here h = 24, b₁ = 4 and b₂ = 7 + 4 = 11 , then

A = [tex]\frac{1}{2}[/tex] × 24 × (4 + 11) = 12 × 15 = 180 units²

Answer:

3.7 x 10^-5

Step-by-step explanation:

Answer:

What do you mean a radius equal to 12 feet? What is your question?

Step-by-step explanation:

Answer:

G6

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

x=10*0.75 = 7.5

note that b is smaller than a

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

x is less than or equal to 5, really simple

Answer:

C

Step-by-step explanation:

Answer:

I think that it would be [tex]28^{2}[/tex] cm

Step-by-step explanation:

8 x 7 = 56

56/2 = 28

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Answer:

380 cubic inches

Step-by-step explanation:

The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height

I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)

Answer:

(x-h)²+(y-k)²=r²

putting respective value

(x--4)²+(y-3)²=9²

(x+4)²+(y-3)²=81

Answer:

(x + 4)^2 + (y - 3)^2 = 9^2

Step-by-step explanation:

Here our center is at (-4, 3), so h = -4 and k = 3.  Radius, r, is 9.

Insert these values into the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2 becomes:

(x + 4)^2 + (y - 3)^2 = 9^2

Answer:

5, -10, 10

Step-by-step explanation:

a “step“ can’t be negative so we can say that we move twice to left 5 spaces

a positive number multiplied by a negative number gives as result a negative number. In this case -10

the opposite of a number is the same number in absolute value with a opposite sign. In this case 10