A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?

Answer: 50

Step-by-step explanation:

f(x) = 6x-4 and g(x) = x^2

f(g(3)) means what is the value of the function f when it is evaluated at the value of g(3).

So g(x) is x^2 so g(3) is 3^2 = 9

Therefore we put 9 in for f(g(3))= f(9) = 6(9) - 4 = 54 - 4 = 50

Answer:          

35/5 (if you mean 10.6)    

1000000 (if you mean 10 to the sixth power)      

0.000001 (if you mean 10/6)

Answer:

There are 126 inches in 10'6

Step-by-step explanation:

take our feet and multiply the value by 12

Answer:

Meena's age is 5 and her fathers age is 30 years old.

Step-by-step explanation:

Let's assume Meena's age to be x years old.

Meena's dads present age is 6x.

5 years from now Meena's age will be (1/3)rd of her dads age

x+5= 1/3 * 6x

x+5=2x

x=5.

Meenas present age is 5 years and her dads age is 30 years

Answer: about 40.54°

Step by step explanation:

7^2 =  5^2 + 10^2  - 2(5)(10)cos(B)

cos(B)  = (7^2 - 5^2 - 10^2) / (-2(5)(10) )

B = cos-1 [ (7^2 - 5^2 - 10^2) / (-2(5)(10) ]  =  cos-1 (.76) = about 40.54°

Answer: About 21.98 cm²

Step-by-step explanation:

First, find the area of the large shaded circle:

[tex]r^{2} \pi =3^{2} \pi =9\pi[/tex]

Find the area of the two small unshaded circles:

[tex]1) r^{2} \pi =1^{2} \pi =1\pi \\2) r^{2} \pi =1^{2} \pi=1\pi[/tex]

Subtract the area of the small circle from the large circle:

[tex]9\pi -1\pi -1\pi =9\pi -2\pi =7\pi[/tex]

Therefore, the area of the shaded region is:

[tex]7\pi =7*3.14=21.98[/tex]

I think its A) (f+g)(z)=|2x+4|-2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

16,x+4

by completing square formula

Answer:

Amanda's popcorn container holds more popcorn

Step-by-step explanation:

First we'll have to find the volume.

The Volume helps us determine which is bigger.

Step 1

We'll find Amanda's popcorn container

10cm*10cm*13.5cm=1350cm

Step 2

We'll find Mary's popcorn container

8cm*8cm*20cm=320cm

Step 3

Since Amanda's popcorn container has 1350cm (volume) and Mary's popcorn container has 320cm (volume) we'll have this. 1350cm>320cm. We can determine the Amanda's popcorn container has holds more,

Final Answer

Amanda's popcorn container holds more popcorn

Answer:

Step-by-step explanation:

x^2 - 9x + 3 = 0 is a quadratic whose coefficients are a = 1, b = -9 and c = 3.

Use the quadratic formula to solve it.

The discriminant, b^2 - 4ac, is 81 - 4(1)(3), or 81 - 12, or 69.

The roots are:

      -b ± √(discriminant)

x = -------------------------------

              2a

And these roots in this particular problem are:

      -(-9) ± √69                    9 ± √69

= ------------------------------- = ----------------

              2(1)                                2

Answer:

7:50 am

Step-by-step explanation:

Clara took 2 hours to reach, and she took a 20 min break, so she left at 7:50 and arrived at 10:10.

Answer:

7:50

Step-by-step explanation:

50 miles per hour/50 miles per 60 min.

50 miles + 50 miles = 100 miles.

if 50 miles takes 1 hour, 100 miles would equal to 2 hours.

considering clara took a 20 min break, thats 2 hours and 20 minutes.. subtract that from the time she arrived and you would get 7:50

9514 1404 393

Answer:

  87°

Step-by-step explanation:

Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.

 arc FG = 180° -93° = 87°

Answer:

61.2%

Step-by-step explanation:

Area of the circle π(4²) = 50.265... cm²

Area of the triangle = ½(6)(6.5) = 19.5 cm²

probability of landing is white is

1 - (19.5 / 50.265) = 0.612059...

The probability that a randomly selected point within the circle falls in the white area is 61.22%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The total outcomes = The area of a circle

The area of the circle = πr²

The area of the circle = π(4)²

Because r = 4 cm

The area of the circle = 50.285 square cm

The area of the triangle = (1/2)(3+3)(4+2.5)

The area of the triangle = 19.5 square cm

The area of the white region = 50.285 - 19.5 = 30.785 square cm

Probability = 30.785/50.285

Probability = 0.6122 or

Probability = 61.22%

Thus, the probability that a randomly selected point within the circle falls in the white area is 61.22%.

Learn more about the probability here:

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Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

Answer:

it is possible that when the hypothesis test is completed,a type ll statistical error has been made

Step-by-step explanation:

Part A, Option 1 is a exponential function while option is a linear equation.

Part B, Let y=b*a^(x) be the function for option 1. At x=1, y=1100 and at x=2, y=1210. 1100=b*a and 1210=b*a^2. Dividing them both we get, b=1.1 and a=1000. y=1000*(1.1)^(x). For option 2, it's a linear equation with a function y(x)=1000+100x.

The 20 year difference would be immense. With option 1, Belinda will get $6727.5 whereas with option 2, they will end up with $3000

Step-by-step explanation:

before Tax

Coast = 888

in 2ND Item = $21

• 888/21

= $42.28

Answer:

D

Step-by-step explanation:

Answer:

t = 70 tons/1.5 tons/min = 46.7 min = 2800 sec before boat sinks

S = V * t

V = S / t = 20 mi * 5280 ft/mi / 2800  sec  = 37.7 ft/sec

Since 88 ft/sec = 60 mph

the speed is 60 * 37.7 / 88 = 25.7 mph

Answer:

4

Step-by-step explanation:

24 = 2^3 x 3

100 = 2^2 x 5^2

HCF = 2^2 = 4

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

[tex]V = A_bw[/tex]

The base area is one half times the triangle base times it's height, so:

[tex]V = 0.5*b*h*w[/tex]

The wedge of cheese is 7 inches tall.

This means that [tex]w = 7[/tex]

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that [tex]b = 11, h = 5[/tex]

Volume:

[tex]V = 0.5*b*h*w = 0.5*11*5*7 = 192.5[/tex]

Rounding, approximately 193 in.

lim ( sinx-1)/(x-1)

x=>0

apply x=0

(sin(0)-1)/(0-1)

(0-1)/(-1)

=1

Answer:

x^2 - 7x - 30 = 0

Step-by-step explanation:

since solutions are 10 and -3

a factorised quad eqn can be formed:

(x-10)(x+3)=0

expand the eqn

x^2-7x-30 = 0 is the answer

Answer:

average of the two observations in the center of the data array

Step-by-step explanation:

When there is an odd number, we use the middle

Example

1,5,9

The median is 5

When there is an even number

1,3,5,7

The middle is between the 3 and 5 so we average the middle number

(3+5)/2 = 4

Answer:

the answer is => observation in the center of the data array

Step-by-step explanation:

[tex]\sf{}[/tex]

Answer:

The Answer is 2000$..........

Here we want to solve a question involving fractions, we will find that:

3/4 gallon fils the complete bin.

Ok, so we know that 1/2 gallon of water, fills 2/3 of the bin.

We want to find the total amount of water that would fill the entire bin.

So we could write an equation like:

amount of water =  amount of the bin that it fills.

Then, using the above information, we have:

1/2 gal  = 2/3 of a bin

Now we want to get at 1 on the right side, this would mean "1 bin"

Then we multiply both sides by (3/2)

(3/2)*(1/2) gal = (3/2)*(2/3) of a bin

3/4 gal = 1 bin

From this, we can conclude that (3/4) gallons of water would fill the complete bin.

If you want to learn more about algebra, you can read:

https://brainly.com/question/4837080

x = 0,75 gallons      or       x  = 3/4   gallons      The volume of the bin

The volume of the bin is: In terms of a fraction

1  =  3/3      or any unitary fraction   5/5    7/7    9/9

We will take 3/3 since we have the information that 2/3 of the volume of the bin was filled with 2/3 of a gallon

If  2/3 of the volume of the bin was filled with 1/2 gallon then we make a rule of three according to:

If     0,5  gal.         fill    2/3 of the volume of the bin   then

          x   gal         fill     3/3  ( the volume of the bin)

solving

0,5 (gal) * 3/3    =   (2/3)*x       ( The equation)

0,5*3 = 2*x

x  =  (0,5*3)/2

x = 0,75 gallons      or       x  = 3/4   gallons

Answer:

54%

Step-by-step explanation:

Concepts:

Solving:

Let's solve this problem by going through the steps to find the percentage.

1. Find out the entire amount

2. Divide the number you want expressed as a percent by the total quantity

3. Multiply the resulting value by 100

4. Add the percent symbol (%) at the end of the value

Therefore, Terry's marks as a percentage is 54%.

Answer:

B)21

Step-by-step explanation:

∠KN=∠ML

∠KN=90°+15°

=105°

∠ML=105°

5x°=105°

x°=105÷5

x°=21°

Answer:

[tex]5x=90+15[/tex]

Add, 90 + 15 = 105

[tex]5x=105[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{105}{5}[/tex]

[tex]x=21[/tex]°

[tex]\textbf{OAmalOHopeO}[/tex]

Answer:

-2x + 22

Step-by-step explanation:

We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.

To find the inverse, we will follow the according steps :

Let's do as followed:

Replacing x with y :

Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.

y = -1/2x + 11

x = -1/2y + 11

Solve for y :

We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :

x - 11 = -1/2y

Now divide both sides by -1/2 to get y alone and retrieve our inverse :

-2(x - 11)

Distribute to get the inverse :

-2x + 22