if the diameter of the clock face is 10.5 inches, what is the radius?​

Answer:

165 cm³

Step-by-step explanation:

330 cm³ × 1/2 = 165 cm³

Check the picture below.

Using a geometric sequence, it is found that:

a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].

b) The value of her collection 9 years after she started tracking is of $94,557,148.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].

In two years, the collection was valued at $1,102,500, hence the common ratio is:

[tex]q^2 = \frac{1,102,500}{250,000}[/tex]

[tex]q^2 = 4.41[/tex]

[tex]q = \sqrt{4.41} = 2.1[/tex].

Hence, the explicit formula is:

[tex]a_n = 250000(2.1)^{n-1}[/tex]

Item b:

[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]

The value of her collection 9 years after she started tracking is of $94,557,148.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer:

-1

Step-by-step explanation:

-100x-100=0

-100x=100

x/-100=100/-100

x=-1

When you are solving for a variable your goal is to get the variable by it seff.

x = -1

- 100x = 100

Step-by-step explanation:

[tex] - 100x - 100 = 0[/tex]

Move the constant to the right side and change the sign

[tex] - 100x = 100[/tex]

Change the sign of both side of the equation

[tex]100x = - 100[/tex]

Divide both side by the same number

[tex]x = - 1[/tex]

[tex] - 100x[/tex]

[tex] - 100 \times - 1[/tex]

Remove the ( - ) sign since negative number are multiplied by even number...

[tex]100 \times 1 \\ 100[/tex]

Answer:

999,000

Step-by-step explanation:

We need to find the number that is one thousand (1,000) less than one million (1,000,000).

Answer:

999000

Step-by-step explanation:

1 million - 1000 or 1 million less is 100,000

Answer:

A and D would be congruent

Step-by-step explanation:

COngruent angles are angles with the same measurements (same size angles).

Answer:

First Image: ∠G ≅ ∠B, ∠E ≅ ∠D Second Image: ∠1 = 140 ∠2 = 40

Step-by-step explanation:

∠G ≅ ∠B by Alternate exterior angles, ∠E ≅ ∠D by Alternate interior angles  ∠1 = 140 by alternate exterior angles and ∠2 = 40 by supplementary angles 180 - 140 = 40

D) 30 mm

should be it!! GL:)

Answer:

204 inches

Step-by-step explanation:

First, change the 5yd2ft to be just feet.

1 yard = 3 feet

5 yd × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

Next, change to inches.

1 ft = 12 inches

17ft × 12in/ft = 204 in

5 yds 2 ft = 204 in

Answer:

204 inch-

Step-by-step explanation:

 1:    change the 5yard 2ft to be just feet.

1 yrd  = 3 feet

5 yrds  × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

2:     change to inches.

1 ft = 12 inch

17ft × 12in/ft = 204 in

5 yards  2 ft = 204 in

~Jax~

Answer:

22.9

Step-by-step explanation:

Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.

Answer:

  a/(a-4)

Step-by-step explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

___

  [tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]

Answer:

19 servings

Step-by-step explanation:

9 1/2 / 1/2 = 19

19

Step-by-step explanation:

one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19

Answer:

is this by any chance about simultaneous equations? If so,

Step-by-step explanation:

Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.

Step 2 is telling us to write equations with x and y.

For example,

7x + 5y = 12

7x - 2y = 9

This may not be accurate but it is an equation.

Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.

For step 5, im not really sure.

hope this helps though???

Answer:

14 mph

Step-by-step explanation:

Speed of boat in calm water = x

Speed of current = y

Speed of boat with the current = 72 mi / 4 hr = 18 mph

Speed of boat against current = 40 mi / 4 hr = 10 mph

x + y = 18

x - y = 10

2x = 28

x = 14

Answer: 14 mph

Answer:

14 m/hr

Step-by-step explanation:

72 m / 4 hr = 18 m/hr

40 m / 4 hr = 10 m/hr

still water speed =  (18+ 10 )/2 = 14 m/hr

 current speed   (14 -x) 4 = 40

                       x = current speed = 4 m/hr

Answer:

B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.

Step-by-step explanation:

Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.

Therefore, option D is the correct answer.

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ2

Answer:

i) Gas mileage = 31 miles

ii) 2170 miles = 70 gallons

310 miles on 10 gallons of gas.

⇒ 310 miles = 10 gallons

⇒ 310/10 miles = 10/10 gallons

⇒ 31 miles = 1 gallon

Gas mileage = 31 miles

⇒ 31 miles = 1 gallon

⇒ 31 x 70 miles = 1 x 70 gallon

⇒ 2170 miles = 70 gallons

Answer:

"a linear function has the form y = mx + b. "

Answer:

SUPPLEMENTARY ANGLES

(ADJACENT ANGLES).

Step-by-step explanation:

< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m <  = 180 degrees.  So they are supplementary angles also.

Answer:

20.87 hours

Step-by-step explanation:

Speed = distance/ time

We need to find the speed of the boat which is ...

s = 345/24

s = 14.374km/hour

so to find how long it takes to travel 300 km we....

time = distance/speed

t = 300/14.375

=20.869

= 20.87

Answer:

so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side

so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:there is a very strong corolation

Step-by-step explanation:

Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25

Answer:

1/2

Cameron made :

[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]

[tex]\sf \hookrightarrow 64 \ cookies[/tex]

Lindsey made :

Together:

Left to make:

Total made:-

Cookies left:-

Fraction:-

Answer:

An=A(n-1)-4 where A=7

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]

Let's solve this equation.

Step 1

Move the numbers to the right:-

5x=2x-3-3

Step 2

Move the x's to the left

5x-2x=-3-3

Notice I use the opposite operation :)

Step 3

Combine like terms

3x=-6x

Step 4

Divide both sides by 3

x=-2

That's the value of x that makes the equation true.

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]

[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Area of map.

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]

So, let's begin

[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,

[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]

Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]

________________________________

Hope it helps you:)

Answer:

3.5

Step-by-step explanation:

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores