A watch company is developing packaging for its new watch. The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

Answer:

D and B

Step-by-step explanation:

The correct equation that expresses how much each book cost is C.5x + 4 = 129, where x represents the price of one book.

The student asked which equation expresses how much each book cost if Tim bought a magazine for $4 and five books that all cost the same amount, spending a total of $129. The correct equation would account for the magazine's cost and the total cost of the five books. The equation that represents this scenario is C.5x + 4 = 129, where x represents the cost of one book, 5x represents the total cost of the five books, and 4 is the cost of the magazine. To find the cost of each book, you need to subtract the magazine's cost from the total and then divide by the number of books. The equation 5x + 4 = 129 does this correctly because when we subtract 4 (the cost of the magazine) from 129 (total amount spent), and then divide that result by 5, we find the cost of a single book.

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Answer:

Step-by-step explanation:

hi

Answer:I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:

Answer:

What does that P suppose to mean and where are your answer choices?

Step-by-step explanation:

To solve the equation 1.75n = 7, divide both sides by 1.75 to isolate n, which simplifies to n = 4. Therefore, the value of n is 4.

To solve the equation 1.75n = 7 for the value of n, you need to isolate n. This can be accomplished by dividing both sides of the equation by 1.75, the coefficient of n.

Here are the steps:

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2 (or if you are a nerd (a+bi)(a-bi) = c^2)

plug in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

Answer:

18 would be the GCF.

Step-by-step explanation:

18 | 36

6 |  18

36/2 = 18.

A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.

The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.

The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.

Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.

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Answer:

x = 1586130/4778591

Step-by-step explanation:

4363x + 637 - 6282x = 562x/5262 - 282

4363x-6282x+637 = 562x/5262 - 282

-1919x+637 = 562x/5262 - 282

-1919x+637 = 562x/5262 - 282

        -637                           -637

-1919x = 281x/2490 - 637

-1919x * 2490 = 281x/2490 - 637 * 2490

-4778310x = 281x-1586130

-4778310x = 281x-1586130

        -281x               -281x

-4778591x = -1586130

-4778591x/-4778591 = -1586130/-4778591

x = 1586130/4778591

Answer:

c

Step-by-step explanation:

the like terms are 5x and 2x

The like terms in the given equation are 5x and 2x. Therefore, option C is the correct answer.

Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other.

The given equation is 5x+3y+2x+3z=27.

In the given equation like terms are 5x and 2x and unlike terms are 3y and 3z.

Therefore, option C is the correct answer.

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Answer:

0

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

    = (3-3)/(20-19)

    = 0/1

    = 0

Answer:

All of them

Step-by-step explanation:

x² - x - 2

(x + 1)(x - 2)

x² + x - 2x - 2

x² - x - 2

(x - 0.5)² - 2.25

x² - 2(x)(0.5) + 0.5² - 2.25

x² - x + 0.25 - 2.25

x² - x - 2

To determine the surface area of a model pyramid that has been scaled down, we must first compute the area of the original pyramid, and then multiply that area by the square of the scale factor.

To find the surface area of a square pyramid we first calculate the area of the base which is side squared (152 = 225 sq ft), and then calculate the area of the four triangular faces. For the latter we can use the formula 0.5 x base x height, where base is the side of the pyramid (15 ft) and height is the slant height. The slant height can be calculated using Pythagoras' theorem which constitutes of half of the base and the height of the pyramid, this will give us the slant height, which then can be used in the surface area formula.

Next, if the pyramid is scaled down by a factor of 0.5, both lengths and areas are reduced by that factor. Hence, multiply the original area by 0.52 = 0.25 to find the surface area of the model pyramid.

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Answer:

negative,1800 feet , y=16.25x+1,800

Step-by-step explanation:

The correlation, y-intercept, and equivalent representations of given points all depend on the data's plot on the graph. The correlation is classified as positive, negative, or none based on the scatter pattern of points. The y-intercept is where the line intersects the y-axis, and it could be any of the provided options. The equation representing the line of best fit depends on the slope (gradient) and y-intercept of the line.

Without the actual data points, it's hard to definitively answer, but I'll provide some general guidance. The correlation of data points can be categorized as positive, negative, or none depending on how they are scattered on the graph. A positive correlation means as one variable increases, the other increases too, while a negative correlation means as one variable increases, the other decreases. When there's no pattern to the points, the correlation is none.

In terms of y-intercept, it's the point where the line crosses the y-axis. If we assume y-intercept as one of the options provided, e.g. 800 feet, 1200 feet, 1800 feet, and 2200 feet, it depends on how the line fits on the graph.

Similarly, the equivalent representation like Y=800 or Y=-17.5x+2200, Y=-16.25x+1800, or Y=-6.25x+1200 is dependent on the actual pattern of the data points. These representations are equations of straight lines where '-17.5', '-16.25', and '-6.25' represent the slope and '2200', '1800', '1200' respectively are the y-intercepts.

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Answer: The probability is 0.5

Step-by-step explanation:

The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)

The total area of the figure is equal to

Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2

Now, the area of region II is:

Region II = 20'*35' = 700

Then the probability is:

P = 700/1400 = 1/2 = 0.5

Answer:

a = 2, b = -5,  c = 3

Step-by-step explanation:

The standard form of the quadratic equation is   a*x^2 + bx + c = 0

Looking at the equation you have, we should correspond the coefficients with the standard form I wrote above.

so.   a = 2, b = -5,  c = 3

Answer:

It is C 75.36. I hope it helps.

Step-by-step explanation:

Answer:

Vertical angles

Step-by-step explanation:

Answer: Vertical angles

Step-by-step explanation:

Pair of opposite angles made by two intersecting lines

Answer:

[tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}\\[/tex] ,  ([tex]x_1,x_2,[/tex] zeros of the polynomial)

Step-by-step explanation:

Given the zeros of a polynomial, [tex]x_1\: and \:x_2[/tex], to determine the vertex, follow these steps.

Find the equation of symmetry x=h where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

Substitute the value of h into the quadratic function f(x) to find the maximum of minimum point.

Therefore, the coordinate of the vertex will be:

 [tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}[/tex]

Answer:

7b+6x-9y

Step-by-step explanation:

Parentheses do not matter.

2x-9y+4x+7b=

6x-9y+7b

Answer: 6x-9y+7b

Step-by-step explanation:

Answer:

$823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4

= 123.2

Balance = principle + interest

700 + 123.2

823.2

Answer:

A =823.20

Step-by-step explanation:

A = P (1 + rt)

Where A is the amount in the account

P is the principle,  r is the rate and t is the time

A = 700(1+4.4% *4)

Change to decimal form

A = 700(1+.044 *4)

A = 700(1+.176)

A =823.20

Answer:

1: "An equilateral triangle is never an obtuse triangle" & "An equilateral triangle is never an isosceles triangle."

2: Acute Isosceles Triangle

3: False! Option B.

4: D

Step-by-step explanation:

2: Isosceles Triangles have two equal sides. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

3: An equilateral triangle is a triangle in which all the sides and all the angles are equal.

4: In order for a triangle to be isosceles, it has to have two same sides. For a triangle to be equilateral, all sides and angles need to be the same. Refer to reasoning in Question 2 for next explanation.

Answer:

3m(4-5m)

Step-by-step explanation:

1) m is common in both terms so lets take it out:

m(12-15m)

since 12 and 15 are both divisible by 3 lets take 3 out:

3m(4-5m)

Hope this helps!

The factor of the expression 12m - 15m² is 3(4 - 5m).

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

An expression, 12m - 15m².

To factor the expression:

Using factorization method.

12m - 15m²,

= 3(4 - 5m)

Therefore, the factor is  3(4 - 5m).

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Answer:

Step-by-step explanation:

This is a Compound interest problem with a decreasing rate. It is given by the formula:

A = P(1 +/- R)^T

Where A = amount after time T

P = principal or initial amount

R = rate of increase or decrease

T = time elapsed

There's +/- because + is used in the case when the amount is increasing at a particular rate and - is used whe the amiunt is decreasing.

In 2000 there were 5,400 birds and the number of birds is decreasing by 3% (0.03) every year.

The number of birds, y, that will be there x years after 2000 will be:

y = 5400( 1 - 0.03)ˣ

2025 is 25 years ahead of 2000, so x = 25

Therefore, the number of birds in 2025 will be:

y = 5400(1 - 0.03)^25

y = 5400(0.97)^25

y = 5400 * 0.467

y = 2522 birds

There will be 2522 birds in 2025.

The equation to represent the number of birds after x years is y = 5,400(1 - 0.03)^x. To find the number of birds in 2025, we use x = 25 in the equation to get y ≈ 3,295 birds.

To write an equation that represents the number, y, of birds x years after 2000 with a yearly decrease of 3%, we use the formula for exponential decay, which is y = a(1 - r)^x. Here, a is the initial amount, r is the rate of decrease, and x is the number of years since 2000.

In this case, the initial number of birds in 2000 was 5,400, so a = 5,400, and the rate of decrease is 3%, meaning r = 0.03. The equation becomes y = 5,400(1 - 0.03)^x.

To find out the number of birds in 2025, we calculate x as the number of years from 2000 to 2025, which is 25 years. Thus, the calculation results in y = 5,400(1 - 0.03)^25. After solving, we round the result to the nearest whole number.

Performing the calculation, y ≈ 3,295 birds.

To find the missing probability for consuming two or more cups of coffee in the data scientist's distribution, subtract the sum of the probabilities of all other events from 1, ensuring that all probabilities in the distribution meet the criteria of summing to 1 and each being between 0 and 1.

The question pertains to constructing a probability distribution for a data scientist's daily coffee consumption at work. The random variable C stands for the number of cups of coffee she drinks on a given day. To calculate the missing probability for someone who has two or more cups of coffee, one must know the individual probabilities of all other events (0, 1, 2, etc., cups of coffee). The sum of all these probabilities must equal 1, since that represents the certain event that some outcome in the distribution will occur. To find the missing probability, one would subtract the sum of the probabilities for 0 and 1 cups (if those are the only other events) from 1.

For example, if the probability of drinking 0 cups is 0.1 and the probability of 1 cup is 0.3, then the probability of drinking two or more cups would be 1 - (0.1 + 0.3) = 0.6. Important characteristics of a discrete probability distribution include that the sum of probabilities is 1 and that each individual probability is between 0 and 1, inclusive.

Answer:

15/100= 3/20

Step-by-step explanation:

Answer:

0.942 ft/s

Step-by-step explanation:

The rate of descent is the rate at which the hot air balloon is descending, that is, how fast it is descending.

We calculate this by finding how far it has moved and then dividing it by the time it took it to descend.

It moved from 5275 ft to 3128 ft. The displacement is:

5275 - 3128 = 2147 ft

The time taken is 38 minutes. In seconds, it is:

38 * 60 = 2280 seconds.

Therefore, the rate of descent is:

2147 / 2280 = 0.942 ft/s

Answer:

4^4 x 6^6= 11943936

Step-by-step explanation:

hope this helps

Answer:

View answer in the photo.

Step-by-step explanation: