all real numbers between −14 and 14 inclusive

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

For more such questions on miniature model

https://brainly.com/question/14657504

#SPJ8

Using the hat method they can randomly choose the tombstones they are going to visit in each county, the best option is to visit 40 tombstones in each county so that it is the same number of tombstones analyzed in each county. This study will benefit the residents of these counties because the information is specific to them.

When conducting research, it is sometimes necessary to take samples to analyze and study and obtain a result. In the situation presented there are a large number of tombstones to study, however it is difficult for researchers to visit each of the tombstones.

Therefore, the best option is to take a sample, that is, to study a small proportional part of the tombstones to obtain an estimated result of the study. The best way to do this is by taking the same number of samples in each county.

Additionally, the information resulting from this study will directly impact the residents of these counties because they are issues related to their past and their evolution through the years, especially the African American population.

Learn more about research in: https://brainly.com/question/1596108

Answer:

multiply all of them then add all of them then divide by the lowest number

12:1 is the scale factor

3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1

Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.

Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio

To check go to:

https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

A poll of 1556 registered voters nationwide indicated that 43% of those polled blamed oil companies the most for the recent increase in gasoline prices. Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

To determine whether this poll result supports the claim that at least 45% of registered voters blame oil companies the most for the recent increase in gasoline prices, we test the null hypothesis against the alternative hypothesis.

Test the claim that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45% using alpha = 0.01. Test statistic z = -1.59. P-Value = 0.94.

Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

for such more question on indicated

https://brainly.com/question/29021083

#SPJ11

When £50 is decreased by 60%, the remaining value is £20.

A percentage refers to the ratio of a variable expressed as a fraction of 100.

Percentages show the proportional value contained in another.

We use the percent sign (%) to denote percentages, which may be increases or decreases.

Initial value = £50

Percentage decrease = 60%

Percentage change = 40% (1 - 60%)

In monetary terms, the final value after the percentage decrease = £20 (£50 x (1 - 60%).

Thus, when £50 is reduced by 60% the value left is only 40% of the former deal, which is £20.

Learn more about percentages at https://brainly.com/question/24877689

#SPJ1

Answer: Blue

Step-by-step explanation:

Half of the entire freaking bag is blue,it states it in the question.If there is so many,unless by pure blind luck you will get that.

I hope it helps!

Answer:

24 workers

Step-by-step explanation:

solution

A wall can be built in 48 hrs by = 15 workers

A wall can be built in 1 hr by = 15× 48 workers

A wall can be built in 30 hrs by= 15 × 48/ 30 workers

= 24 workers

Given:

Sol:.

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

Answer:

36

20 percent * 180 =

(20:100)* 180 =

(20* 180):100 =

3600:100 = 36

Now we have: 20 percent of 180 = 36

Question: What is 20 percent of 180?

Percentage solution with steps:

Step 1: Our output value is 180.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$180=100\%$.

Step 4: Similarly, $x=20\%$.

Step 5: This results in a pair of simple equations:

$180=100\%(1)$.

$x=20\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{180}{x}=\frac{100\%}{20\%}$

Step 7: Again, the reciprocal of both sides gives

Step-by-step explanation:

Hope it is helpful.....

Answer:

21

Step-by-step explanation:

Midpoint means the middle, so all you have to do is divide 42 by 2 :)

Answer:

D.

Step-by-step explanation:

Answer:

d. experimental; the result is found by repeating an experiment

Step-by-step explanation:

I think that you draw five cards from a deck and I believe that is how you concluded the probability. I am not positive though.

Answer:

(7x^2 -1)(x - 2).

Step-by-step explanation:

7x^3 - 14x^2 - x + 2

We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Read more about whisker plot here:

brainly.com/question/27849170

#SPJ1

create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

learn more on pyramid here: https://brainly.com/question/7921736

#SPJ1

Answer:

-2

Step-by-step explanation:

Determining the limit from a graph edge

Answer:

-2

Step-by-step explanation:

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

Read more about composite functions at

brainly.com/question/33401202

#SPJ1

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

Learn more about discounts at https://brainly.com/question/28176129.

#SPJ1

Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

The maximum area is 900 square meters

Given that

Perimeter, P = 120

So, we have

P = 2(l + w) = 120

This gives

l + w = 60

Make l the subject

l = 60 - w

The area is

A = lw

So, we have

A =w(60 - w)

Expand

A = 60w - w^2

Differentiate and set to 0

60 - 2w = 0

So, we have

w = 30

Recall that

A =w(60 - w)

So, we have

A = 30(60 - 30)

Evaluate

A = 900

See attachment

This is represented as follows

Length (l) | Width (w) | Area (A)

30 | 30 | 900

35 | 25 | 875

40 | 20 | 800

45 | 15 | 675

50 | 10 | 500

55 | 5 | 275

See attachment

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer:

900 m²

Step-by-step explanation:

The maximum possible area of a rectangle is when the width and length are equal, i.e. it is a square.

To find the side length of a square, divide its perimeter by 4. Therefore, the width and length of a rectangle with perimeter 120 m is:

\(\implies \sf \dfrac{120}{4}=30\;m\)

The area of a square is the square of its side length, so the maximum area for a rectangle with perimeter of 120 m is:

\(\implies \sf Area=30^2=900\;m^2\)

The formula for the perimeter of a rectangle is:

\(\boxed{\sf Perimeter=2(width+length)}\)

Therefore, if the perimeter is 120 m:

\(\implies \sf 120=2(width+length)\)

\(\implies \sf width+length=60\)

So the width and length must sum to 60 m.

Sketch various rectangles where the sum of their width and length is 60 m.  For example:

The formula for the area of a rectangle is:

\(\boxed{\sf Area=width \times length}\)

A table with the width, length and areas (in increments of 5 m for the lengths) is as follows:

\(\begin{array}{c|c|c}\vphantom{\dfrac12} \sf width\;(m)&\sf length\;(m)& \sf area\;(m$^2$)\\\cline{1-3}\vphantom{\dfrac12}5&55&275\\\vphantom{\dfrac12}10&50&500\\\vphantom{\dfrac12}15&45&675\\\vphantom{\dfrac12}20&40&800\\\vphantom{\dfrac12}25&35&875\\\vphantom{\dfrac12}30&30&900\\\vphantom{\dfrac12}35&25&875\\\vphantom{\dfrac12}40&20&800\\\vphantom{\dfrac12}45&15&675\\\vphantom{\dfrac12}50&10&500\\\vphantom{\dfrac12}55&5&275\end{array}\)

Let x be the length of the rectangle (in meters).

Let y be the area of the rectangle (in meters squared).

From inspection of the values of area from the table from part (b), the function is quadratic, since the second differences between the y-values is constant.  The maximum point (vertex) is (30, 900).  Therefore, the graph is a parabola that opens downwards.

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

As the vertex is (30, 900) and the parabola opens downwards (so the value of "a" is negative):

\(\implies y=-a(x-30)^2+900\)

To find the value of a, substitute one of the other points into the equation:

\(\implies -a(10-30)^2+900=500\)

\(\implies -a(-20)^2=-400\)

\(\implies -400a=-400\)

\(\implies a=1\)

Therefore, the equation of the parabola is:

\(y=-(x-30)^2+900\qquad \{x|\;0 < x < 60\}\)

Note: If the measure of one side of the rectangle is 60 m, then the measure of the adjacent side will be 0 cm, which is impossible. Therefore, the domain of the function must be set to (0, 60).

From inspection of the table, the maximum area of a rectangle that has a perimeter of 120 m is when its width and length are both 30 m.

From the graph of the relationship between length and area of a rectangle with a perimeter of 120 m, the maximum area is when the length is 30 m ⇒ max area = 900 m².

Therefore, the maximum area of the rectangle is 900 m².

Answer: 1X

Step-by-step explanation: COOKIE

The answer to this given simplification (3x^-4)6/9x^-12 is 2 x^8.

What are exponents?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. It could be an integer, a fraction, a negative integer, or a decimal. In this essay, let's study more about exponents.

given:

(3x^-4)6/9x^-12

=x^-4 . 3 . 6 / 9 . x^-12

= 2. x^-4 /  x^-12

=2 x^8

To learn more about simplification  click on the link below:

https://brainly.com/question/1280754

#SPJ1

Answer:

Orange, Green, Red, Blue

Step-by-step explanation:

1st equation

When x = 0,  -2 raised to the 0 power is -1 so y would be -1.

When x = 1, the exponent would be -1.  -2 to the power of -1 is the inverse of -2 which is - 1/2.

The only colored graph that has points at (0, -1) and (1, -1/2) is the orange graph.

2nd equation

When x = 0, 2 raised to the 0 power is 1 so y=1

When x =1, 2 raised to the power of 1 is 2 so y = 2

The graph that has points at (0, 1) and (1, 2) is the green graph

3rd equation

When x = 0, 2 raised to the -0 power is still equal to 1 so y would be 1.

When x = 1, 2 raised to the -1 power is the inverse of 2 which is 1/2.

The only graph with coordinates (0, 1) and (1, 1/2) is the red graph

4th equation

Only color left is the blue graph but the same concept can be used.

Answer:

y+(-3)=-8

y=-5

Step-by-step explanation:

y+(-3)=-8

Solve by adding 3 onto both sides.

y=-5

Answer:

Y= -5

Step-by-step explanation:

y+(-3)= -8

y-3 = -8

y = -5