8 steps ----> 20 ft
6 steps -----> 15 ft

4a. Is this a proportional relationship?
yes
no

14b. If no, explain. If yes, find constant of proportionality. *

Answers

Answer 1

Answer:

It is a proportional relationship. 1 step/2.5 Feet.

Step-by-step explanation:

First of all, you need to find out what a single step equals to feet.

If 6 steps is 15 feet, and 8 is 20, then 2.5 feet is the transition of proportional relationship. (15, 17.5, 20)

This means that the proportional relation ship is that every 1 step is equal to 2.5 feet.


Related Questions

find the value of the letter and number below
[tex]a_4[/tex]

Answers

Answer:

a4 = 123

Step-by-step explanation:

Here, we want to find the value of the 4th term

we simply have n as 4

substituting this, we have;

a4 = (a3)^2 + 2

But a^3 = (a2)^2 + 2 and

so we have ;

a4 = [(a2)^2 + 2]^2 + 2

But a2 = (a1)^2 + 2

a4 = {[(a1)^2 + 2)]^2 + 2}^2 + 2

Now, substitute the value of a1

a4 = (1)^2 + 2)^2 + 2)^2 + 2

a4 = (1 + 2)^2 + 2)^2 + 2

a4 = (3^2 + 2)^2 + 2

a4 = 11^2 + 2

a4 = 121 + 2

a4 = 123

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not
8
7
6
15
4
1
3
2
1
-10-9
-7
-6
-5 -4
-3
-2 -1
1
2
3
4
5
6
28
9
10
-1
-2
-3
-4
17
-5
-6

Answers

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

Given sin e
; and angle 0 is in Quadrant III, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.

Answers

Answer:

[tex]\cos \theta = -\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

Draw a right triangle with angle [tex]\theta[/tex]. In all right triangles, the sine of an angle is equal to its opposite side divide by the hypotenuse of the triangle. Therefore, label the side opposite to [tex]\theta[/tex] as 2 and the hypotenuse (longest side) of the right triangle as 3.

To find the last side, use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle.

Solving for [tex]a[/tex]:

[tex]a^2+2^2=3^2,\\a^2+4=9,\\a^2=5,\\a=\pm\sqrt{5}\implies \sqrt{5}[/tex]

In all right triangles, the cosine of an angle is equal to its adjacent side divided by the hypotenuse. However, the cosine of all angles in Quadrant III are negative. Therefore, the desired answer is [tex]\cos \theta=\boxed{-\frac{\sqrt{5}}{3}}[/tex].

Verify:

[tex]\sin \theta =-\frac{2}{3},\\\\\theta=\arcsin(-\frac{2}{3}}),\\\\\cos(\arcsin(-\frac{2}{3}}))=-\frac{\sqrt{5}}{3}\checkmark[/tex]

Scientists measured how many days had rain each month for three different cities. For example, in Miami, the first month had 6 days of rain, the next month had 5 days or rain, and so on. These box plots show the results

A. Fill in the blanks to describe the shape of each box plot
Miami:
Seattle:
Las Vegas

B: fill in the blanks to compare the centers of the three box plots
Better measure of center to use:

Center of Miami 7.5 days
Center of Seattle:____
Center of Las Vegas ____ days


Which city had the largest typical number of days of rain each month? _____


C. Find and compare the spreads of the three box plots.

Better measure of spread to use:_____

Spread for Miami 8.5 days

Spread for Seattle ___ days
Spread for Las Vegas ___ days



Which city had the lowest variation in the days of rain each month?_____

Answers

Answer:

3. Scientists measured how many days had rain each month for three different cities. For example, in Miami, the first month had 6 days of rain, the next month had 5 days of rain, and so on. These box plots show the results:

a) Fill in the blanks to describe the shape of each box plot. (3 points: 1 point for each blank)

Miami: _________negativley skewed________

Seattle: _______smytric__________

Las Vegas: _______positivley skewed__________

b) Fill in the blanks to compare the centers of the three box plots. (4 points: 1 point for each blank)

Better measure of center to use: ______Median____

Center for Miami: 7.5 days

Center for Seattle: ___14___ days

Center for Las Vegas: ___2___ days

Which city had the largest typical number of days of rain each month? _____Seattle_____

c) Find and compare the spreads of the three box plots. (3 points: 1 point for each blank)

Better measure of spread to use: ____Interquartile range______

Spread for Miami: 8.5 days

Spread for Seattle: ___9.5___ days

Spread for Las Vegas: 2 days

Which city had the lowest variation in the days of rain each month? _____Las vegas_____

Step-by-step explanation:

A p E x

Find the value of x.

a
x = 104
b
x = 72.5
c
x = 166
d
x = 93.5

Answers

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to be different?

Answers

Their slopes would be the same but their positions or points ( if the lines were on a graph) would be different.

Ryan bought 7 kg of tomatoes for $15.40. What was the cost per kilogram?

Answers

Answer:

$2.20 per kilogram

Step-by-step explanation:

Take the total cost and divide by the number of kilograms

15.40/ 7

2.20

$2.20 per kilogram

Answer:

Step-by-step explanation:

I am not sure if this is corect but you need to devide 7 by 15.40

and that is my best estimate

What is 15/5 simplified?​

Answers

the simplified version would be 3/1

Answer:

3

Step-by-step explanation:

fractions are division, so if you divide the numerator by the denominator you'll always get the mixed number / whole number

so 3/4 is equal to 3 divided by 4

15 divided by 5 is 3, because 3 x 5 = 15

A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.

The total area of the glass surface is _ square inches

Answers

answer: 288 sq in
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288

Can someone help me plzzzz

Answers

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

select the right answer

Answers

Answer:

73,205 vinyls

Step-by-step explanation:

To calculate the number of vinyls sold we need to calculate the compounded increase. To do this we simply raise the number of times that the initial value increases by the number of difference in years from the start to the current year. Then we multiply this number by the initial number of vinyl records. Since there are 4 years between 2012 and 2016, the formula would be the following...

50,000 * [tex]1.1^{4}[/tex] = x

50,000 * 1.4641 = x

73,205 = x

Finally, we can see that there will be a total of 73,205 vinyls in 2016

126,534,560+12,4653=?????

Answers

Answer:

The answer is 126,659,213

PLEASE HELP ASAP!!

What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3

Answers

The correct answer is C

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

A population of 25 rabbits on a farm have a growth rate of 2 rabbits every month. Write the exponential function. How many rabbits will be on this farm in 6 months if they do not sale any of them. (Just sketch your graph showing your y-intercept and shape of graph).
ONLY ANSWER IF YOU CAN GIVE THE RIGHT ANSWER

Answers

Y=mx+b plus 900 rabbits

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

the area of a triangle is 24 and its height is 12 what is its base?

Answers

Answer:

b=4

Step-by-step explanation:

Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $408.25 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?

Answers

Answer:

Dylan's credit card account has decreased by 29%.

Step-by-step explanation:

You first have to subtract:

$575.00 - $408.25 = $166.75.

You then have to divide the amount decreased by the total amount.

$166.75 / $575.00 = 0.29 = 29%

29% is the amount decreased in the credit card account.

Please someone help me i'm struggling!

Answers

Answer:

y-value is direct variation

Step-by-step explanation:

Solve the equation for inverse and cross multiply.

a cyclist complete a race at an average speed of24 mph in one hour 15minutes.Calculate the distance

Answers

Answer:

30 miles

Step-by-step explanation:

i hope it wil help u

A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators

Answers

Step-by-step explanation:

answer is in the image above

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
x= 1 2 5 10
y= 6 12 30 60

a. direct variation y=1/6x
b. inverse variation xy=6
c. direct variation y=6x
d. inverse variation xy=1/6

Answers

c. y=6x direct variation

Answer:

the table represent a direct variation

Step-by-step explanation:

as when x=1

y=2

and

x=10

y=60

Answer:

y = 6x  direct variation

Step-by-step explanation:

Remember that direct variation is y = kx  and inverse variation is y = k/x  where k is a constant

x= 1 2 5 10

y= 6 12 30 60

First look at direct y = kx  solving for k  y/x =k

y/x from the table is 6/1 =6  12/2 = 6  30/5 =6  60/10 =6  so k=6

This is a direct variation with k=6

y = 6x

In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD

Answers

I DONT KNOW THIS IS SO HARD:(((

Answer: DH and HF correspond.

The mean weight of a domestic house cat is 8.9 pounds with a standard deviation of 1.1 pounds. The distribution of domestic house cat weights can reasonably be approximated by a normal distribution. What proportion of domestic house cats weigh less than 7 pounds?

Answers

Answer:

0.0421

Step-by-step explanation:

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 8.9 pounds

σ is the population standard deviation = σ = 1.1 pounds

For x < 7 pounds

z = 7 - 8.9/1.1

= -1.72727

Probability value from Z-Table:

P(x<7) = 0.042059

Therefore, the proportion of domestic house cats weigh less than 7 pounds is

0.042059

Approximately = 0.0421

Will give friendliest, 10 points, look at the picture…

Answers

The third option because each letter matches up with the other, meaning they are congruent. That makes the third option true.

Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is

Answers

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

= 15.10 is the answer.

Step-by-step explanation:

The missing value is 15.2 and 15.10 couldn't replace it because the decimal number of 15.10 is higher than the decimal of 15.2.

Multiply mixed numbers 3 1/2 X 2 1/3

Answers

Answer:

8 1/6

Step-by-step explanation:

that is da answer bbbbb

Answer:

8 1/6

Step-by-step explanation:

3 1/2 X 2 1/3

7/2x7/3

How many questions were on Victoria test

Answers

25!

(80/100)*x=20
x=25

100% Verified

Hope this helps! :)

Find the nth term of the quadratic sequence

Answers

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

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