The largest doll is 12 inches tall. The height of each of the other dolls is 710 the height of the next larger doll. Write an expression involving a power for the height of the smallest doll. Then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.

The height of the smallest doll can be found using the expression

To the nearest tenth, the height of the smallest doll is
inches.

The Largest Doll Is 12 Inches Tall. The Height Of Each Of The Other Dolls Is 710 The Height Of The Next

Answers

Answer 1
Largest doll = 12 inches
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7

So, the height of the nth doll can be expressed as: 12 x 0.7^(n-1)

Example: 4th doll = 12 x 0.7^(4-1) = 12 x 0.7^3
Answer 2

Answer:

Expression for smallest doll: 12(7/10)^3

Step-by-step explanation:

Since the largest doll is 12 inches, and we need to find the expression for the smallest one, we would multiply 12 and 7/10. Secondly, there are 4 dolls. We need to find the smallest doll's height, so it would be 7/10 times 7/10 times 7/10. Which could be simplified to (7/10)^3.

For the second question, just solve the expression and that is the height of the smallest doll.


Related Questions

If the ratio of red socks to blue socks is 1:6, how many red socks would I have if I had 24 blue socks?

Answers

Answer:4

Step-by-step explanation:

1:6

Divide 6 by 24

you will get 4

Times your answer by 1 and then u will get your final answer

24 blue socks is with the 1:6 sockets a did

factor this expression
r^2-2t-24

Answers

Step-by-step explanation:

First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2

So

r2 - 6t + 4t - 24

r2 - 6t + 4 ( t - 6)

So the factors are ( r2 - 6t + 4) and (t - 6)

Roy took out a 30-year loan for $155,000 at an APR of 5.5%, compounded

monthly. Approximately what would be the total cost of his loan if he paid it

off 4 years early?

O

A. $37,842.06

O

B. $312,423.90

O

C. $316,825.20

O

D. $274,581.84

Answers

Answer:

$312,423.90

Step-by-step explanation:

Answer:

312,423.90

Step-by-step explanation:

Correct is b

What is the value of log8 512

Answers

Answer:3

Step-by-step explanation:

Logarithm base 8 of 512 is 3.

Answer:3

Step-by-step explanation:

Chaz's new game room is shaped like a cube. It measures 15 feet across. If he wants to paint only the walls of the room, what is the surface area of the region he will paint?

Answers

The surface area of the region he will paint is 900 sq.ft.

Step-by-step explanation:

Cubical room measures - 15 ft

Chaz want  to paint only the walls of room

Surface of painting region means Lateral surface area (excluding top and bottom)

Lateral surface area of cube = [tex]4a^2[/tex]      

 ⇒ 4 * 15 *15

 ⇒  900 sq.ft

  The surface area of the region he will paint is 900 sq.ft.

5c + cd, c = 1.5 d = 15

Answers

Answer:5(1.5) + 1.5(15)

=7.5 +22.5

=30

Answer:

5(1/5)+ 1/5(15) = 1 + 3 =4

2A - 5B + 4X = C - 8X

Answers

Answer:

(5B+C-2A)/8 = x

Step-by-step explanation:

2A - 5B + 4X = C - 8X

subtract 4x from both sides

2A - 5B + 4X-4x = C - 8X-4x

2A - 5B = C - 12X

subtract C from both sides

2A - 5B -C = C-C - 8X

2A - 5B -C = - 8X

divide both sides by -8

(2A - 5B -C)/-8 = - 8X/-8

(-2A+5B+C)/8 = x

(5B+C-2A)/8 = x

Three coins are flipped,what is the Probability of getting one HEAD and two TAILs?

Answers

Answer:

3/8

Step-by-step explanation:

So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.

Answer:

3/8

Step-by-step explanation:

The possible outcomes are

HHH HHT HTH HTT

TTT TTH THT THH

where H is heads and T is tails

We want one head and two tails

HTT,TTH THT

There are 3 choices that fit

P ( one head and two tails is)= number of one head two tail/ total

                                                = 3/8

Please Help!!!

Using a video camera positioned on a table, Kat records her hanging flower basket to find out what is eating the blooms. The camera is positioned so that the line of sight to the basket forms a 25° angle of elevation. The camera sits 42 inches above the ground and the base of the table is 72 inches from the base of the rod the flower basket hangs on. To the nearest tenth of an inch, how high above the ground is the flower basket?

Edit: I got the answer it's 75.5

Answers

Answer:

75.5

Step-by-step explanation:

The correct height of the flower basket above the ground is 75.5 inches.

To determine the height of the flower basket above the ground, we can use trigonometry. The camera forms a 25 ° angle of elevation with the flower basket, and the distance from the camera to the base of the rod is given as 72 inches. We also know that the camera is positioned 42 inches above the ground.

We can use the tangent function, which relates the angle of elevation to the opposite side (the height of the flower basket above the camera's height) and the adjacent side (the horizontal distance from the camera to the rod).

Let's denote the total height of the flower basket above the ground as h, and the height of the camera above the ground as [tex]h_c[/tex] = 42 inches. The height of the flower basket above the camera is then [tex]\( h - h_c \)[/tex].

Using the tangent function:

[tex]\tan(25\°) = \frac{\text{opposite}}{\text{adjacent}}[/tex]

[tex]= \frac{h - h_c}{72}[/tex]

We can solve for h:

[tex]\[ h - h_c = 72 \times \tan(25\°) \][/tex]

[tex]\[ h = 72 \times \tan(25\°) + h_c \][/tex]

Now we calculate the value of tan(25°) and substitute the known values:

[tex]\[ h = 72 \times \tan(25\°) + 42 \][/tex]

Using a calculator, we find that 25° is approximately 0.4663. Plugging this value into the equation gives us:

h = 72 x 0.4663 + 42

h = 33.5 + 42

h = 75.5

Therefore, the flower basket is approximately 75.5 inches above the ground.

Rewrite 10^32 x 10^6 using a single exponent

Answers

10^38

Step-by-step explanation:

Given that,

10^32 x 10^6

Here the base is same (10) and the powers are 32 and 6.

These 2 bases are in multiplication form so the powers can be added up.

10^32 x 10^6 = 10^(32+6)

= 10^38

There are 14 books on a shelf. 6 of these books are new.
(a) What is the ratio of used books to all books?
(b) What is the ratio of new books to used books?



?

Answers

a) 8:14

b) 6:8

yeah its telling me I'm short of words

a8:20
b6:8
hdhdbe cbdvddbdb

x2 - 14x + 40
O A.
(x + 3)(x + 5)
OB. (x - 10)(x-4)
O C. (x-8)(x - 5)
O D. (x+ 10)(x+4)

Answers

Answer:

B

Step-by-step explanation:

(x-4) x (x-10)

Answer:

B

Step-by-step explanation:

Given

x² - 14x + 40

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 14)

The factors are - 10 and - 4, since

- 10 × - 4 = + 40 and - 10 - 4 = - 14, thus

x² - 14x + 40 = (x - 10)(x - 4) → B

A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a uniform border. What is the width of the border?

Answers

Answer: The width of the border is 4 inches

Step-by-step explanation: The paper frame has its dimensions given as 20 inch by 24 inch. That means the area of the paper frame would be;

Area = L x W

Area = 20 x 24

Area = 480 square inches.

However, the photo itself covers an area of 320 square inches of this total surface area. If the photo has a uniform border, that means the photo and the paper frame are best described as congruent parallelograms (similar rectangles).

The ratio of the area of both paper frame and photo is given as;

Ratio = 480 : 320

Ratio = 3 : 2

When the length of the photo frame is given as 24, the length of the photo would be

3/2 = 24/L

L = (2 x 24)/3

L = 48/3

L = 16

Having calculated one side of the photo as 16 inches and the area has been given as 320 square inches, the other side of the photo is now derived as;

Area = L x W

320 = 16 x W

320/16 = W

20 = W

The dimensions of the paper frame is given as 24 inches and 20 inches, while those of the photo is given as 20 inches by 16 inches. The difference in both dimensions is 4 inches on either side (24 - 20 = 4, and 20 - 16 = 4)

Therefore the width of the border is 4 inches

calculate the number in the middle of 14.5 and 5.2

Answers

Answer:

9.85

Step-by-step explanation:

Because you need to find the mean by doing (14.5+5.2)/2

Answer:

the middle no is 7.25

14.5/3= 7.25

414 rupees

98942 is the accurate answer

Step-by-step explanation:

when the retailer buys the product, its price would be

480-[480*25/100] = 480-120 = 360 rupees.

if the retailer wants to sell it at a profit of 15%

360+[15/100*360] = 360+54 =414 rupees

ok i do not know how to do this please help asap ;-;

Answers

Answer:

Look and see    >:/

Step-by-step explanation:

1) 13, 34              Rate of change: 3

2) 15, 1              Rate of change: -2

3) 17, 32              Rate of change: 0.75

4) 9, -1               Rate of change: -0.4

8(3x+1) please give me your Brainly answer

Answers

Answer:

its 3

Step-by-step explanation:

Simplifying

8 = 3x + -1

Reorder the terms:

8 = -1 + 3x

Solving

8 = -1 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

8 + -3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0

8 + -3x = -1 + 0

8 + -3x = -1

Add '-8' to each side of the equation.

8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0

0 + -3x = -1 + -8

-3x = -1 + -8

Combine like terms: -1 + -8 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3 this took forever to type hope it helped

i think it’s like 24x?

what is the length of bc in the triangle below

Answers

Answer:

This is how i solve it:

Pythagorean theorem:

a squared + b squared = c squared

12 squared + 16 squared = c squared

144 + 256 = 400

square root of 400 is 20

final answer: 20

The answer





20




Hope it helps and don’t forget to like

Solve for r 12-1/5r=2r+1

Answers

Answer:

5r

Step-by-step explanation:

12−

1

5r

=

60r−1

5r

Final answer:

To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.

Explanation:

To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.

Step 1: Combine like terms by adding 1/5r to both sides of the equation:

12 - 1/5r + 1/5r = 2r + 1 + 1/5r

12 = 2r + 1 + 1/5r

Step 2: Combine like terms by subtracting 1 from both sides of the equation:

12 - 1 = 2r + 1 - 1 + 1/5r

11 = 2r + 1/5r

Step 3: Combine like terms by finding a common denominator for the terms involving r:

11 = (10r + r)/5r

Step 4: Simplify the equation:

11 = (11r)/5r

Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:

11 * 5r = 11r

55r = 11r

Step 6: Divide both sides of the equation by 11 to solve for r:

55r/11 = 11r/11

5r = r

Step 7: Divide both sides of the equation by r:

5r/r = r/r

5 = 1

No solution exists for this equation.

Learn more about Solving equations here:

https://brainly.com/question/18322830

#SPJ2

IM giving 15 points please help!
a 42 meter lighthouse is observed by a ships officer at a 65 degree anlge to a path of the ship. At the next sighting, the lighthouse is observed at a 42 degree angle. To the nearest meter what is the distance between the 2 sightings?

Answers

Answer:

the hhh

Step-by-step explanation:

Evaluate 9 ÷ 3[(20 − 7) − 22].

0.18
0.34
27
51

Answers

I got -27 so maybe it’s 27
Answer:

c

step-by-step explanation:


PLEASE HELP!! DUE TODAY! I GIVE BRAINLIEST

Answers

Answer:

.54

Step-by-step explanation:

The probability of a non-glove item is: (# of non-glove items)/(total # of items)

There are 27 non-glove items and 23 gloves. That makes the probability of choosing a non-glove item:

27/(23+27)=

27/50 =

.54

At this rate, how many miles will a ferry boat travel in 30 minutes


Miles=

Answers

Answer:

12 miles

Step-by-step explanation:

I’m pretty sure it’s 12 miles

Which set of measurements forms a right triangle? Use the Pythagorean theorem: a2 + b2 = c2.

A) 15, 20, 25

B) 15, 21, 26

C) 14, 20, 25

D) 14, 21, 25

Answers

Answer:

A. 15, 20, 25.

Step-by-step explanation:

25^2 = 625

20^2 = 400

15^2 = 225.

Now 625 = 400 + 225 = 625 so it is choice A.

What is the value of a?

Answers

The answer that makes the most sense is 2. But the answer might be D. Not sure haven’t done it out :) but you can eliminate B & C :))

Answer:

a = 2

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the exterior angles and equate to 360, that is

66a + 56a + 31a + 27a = 360, that is

180a = 360 ( divide both sides by 180 )

a = 2

What is 3=7(4 - 2u)-6u

Answers

Answer:

u = 5/4

Step-by-step explanation:

to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.

solution

3=7(4 - 2u)-6u

3 = 28- 14u - 6u

collect the like terms

3 + 14u + 6u = 28

20u = 28 - 3

20u = 25

divide both sides by the coefficient of u which is 20

20u/20 = 25/20

u = 5/4

Answer:

[tex]u = 5/4[/tex]

Step-by-step explanation:

Step 1:  Distribute on the right side

[tex]3 = 7(4 - 2u) - 6u[/tex]

[tex]3 = (7 * 4) + (7 * -2u) - 6u[/tex]

[tex]3 = 28 - 14u - 6u[/tex]

Step 2:  Combine like terms

[tex]3 = 28 + (-14u - 6u)[/tex]

[tex]3 = 28 + -20u[/tex]

Step 3:  Subtract 28 from both sides

[tex]3 - 28 = 28 - 20u - 28[/tex]

[tex]-25 = -20u[/tex]

Step 4:  Divide both sides by -20

[tex]-25 / -20 = -20u / -20[/tex]

[tex]5/4 = u[/tex]

Answer:  [tex]u = 5/4[/tex]

The length of the hypotenuse of a right triangle is 15 in. and one leg has length of 6 in. Find the length of the other leg.

Answers

12 cm answer explanation

Answer:

C. square root 189 in.

Step-by-step explanation:

Can anyone pls help me in this pls I will mark u as brainliest

Answers

Answer:

Step-by-step explanation:

the Pythagorean theorem can be used to find the distance between any two points on the COORDINATE PLANEany point where two sides of a polygon meet is called VERTEXThe ABSOLUTE VALUE of  any number is written as |a|the distance around a figure is its PERIMETERAn ISSOSCELES TRIANGLE has at least two sides that are same lengthan EQUILATERA TRIANGLE has three sides that are the same lengtha SCALENE TRIANGLE has its  three sides all different in length

sergio runs 6 miles in three days. At this rate, how many miles will he run in 20 dayshelp

Answers

Answer:

40 miles

Step-by-step explanation:

We have to find how many miles he runs per day. So if we divide 3 days by 3 to get 1 day, that means he would run 2 miles per day. So if we are trying to figure out how many miles he runs in 20 days, we do 20*2 which equals 40. Hope this helps.

(please mark me brianliest)

Answer:

40 miles

Step-by-step explanation:

He runs 2 miles per day

6 miles over 3 days is 2 miles per day

6 divided by 3 is 2

List the possible rational zeros.
m(x) = - 4x + 11x² +6x+14
How do I solve this

Answers

[tex]m(x)=-4x+11x^2+6x+14\\m(x)=11x^2+2x+14[/tex]

Equating the equation to 0 and solving it

[tex]11x^2+2x+14=0\\D=2^2-4*11*14=-612<0[/tex]

This equation has no solution, so we can't find rational zeros

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia

2 dots plots with number lines going from 0 to 10. Plot A has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 2 above 5, 2 above 6, 2 above 7, 0 above 8 and 9, and 1 above 10. Plot B has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 dots above 8, 9 and 10. Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.

Answers

Answer:

First one:

Both the mean and median are greater for Plot A than for Plot B

Step-by-step explanation:

Set A:

Mean:

[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10

= 5.7

Median:

Median position: (10+1)/2 = 5.5th value

(5+6)/2

Median = 5.5

Set B:

Mean:

[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10

= 5.1

Median:

Median position: (10+1)/2 = 5.5th value

(5+5)/2

Median = 5

Mean: A is greater

Median: A is greater

This is not for this exact question, but I realized there was no answer to: Which statement correctly compares the measures of center of the data in the dot plots?

Answer:

C: The mode is greater for Mrs. Ramos’s class.

Step-by-step explanation:

edg2020

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