Which statement describes the expression 9(8 + 25)?

1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s​

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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In the parallelogram HIJK, the measure of angle J and K are 45 degrees and 135 degrees respectively.

You should know that a parallelogram is a quadrilateral whose opposite sides are parallel.  The given parameters for the solution are

m<H = 45 degrees

Having said this, the m<K will be:

Produce the line H to P

This implies that <JKP is = 45 degrees ........... corresponding angles

It there means that  <HKJ = 180-45 = 135 degrees

Also; <JKP = <IJK   ................ corresponding angles

Therefore m<J is 45 degrees.

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The correct question:

In parallelogram HIJK, the measure of angle H is 45∘.

Find the measure of angle J. Explain how you know.

Find the measure of angle K. Explain how you know.

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer:

y=5

y int

x=0

y=2(0)^2-8(0)+5

y=5

note everything multiplied by 0 is 0

The standard deviation by the given  probability distribution is 3.3412.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

x P(x)

−5 0.17

−3 0.21

−1 0.09

3 0.23

5 0.23

7 0.07

Now,

To find the standard deviation, we need to use the formula:

standard deviation = sqrt[∑(x - μ)²P(x)]

where μ is the expected payout.

We have already calculated μ to be 0.76. Using this value and the given probabilities, we can calculate the standard deviation as:

standard deviation = sqrt[( (-5 - 0.76)² * 0.17) + ((-3 - 0.76)² * 0.21) + ((-1 - 0.76)² * 0.09) + ((3 - 0.76)² * 0.23) + ((5 - 0.76)² * 0.23) + ((7 - 0.76)² * 0.07)]

=3.3412

Therefore, by the given data the standard deviation will be 3.3412.

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Answer:

x = 16.5

Step-by-step-explanation:

The height of the larger triangle is 11, and the height of smaller triangle is 2. Which means that the larger triangle height is 5.5 times greater than the smaller triangle's height.

If the base of the smaller triangle is 3, that means that base of the whole/larger triangle is 16.5 because 3 * 5.5 = 16.5

The frequency, f, on a piano is equivalent to the pitch or tone of a specific note produced by a vibrating string or air column.

On a piano, the frequency of a particular note can be determined using the formula:

\(f = 2^{(n/12) }\times f0\)

In this formula, f represents the frequency of the note, n is the number of half-steps from a reference note, and f0 is the frequency of the reference note.

To understand the equivalences to f, let's break down the formula components:

\(2^{(n/12)\): This part of the formula calculates the factor by which the frequency of the note changes based on the number of half-steps away from the reference note. It uses the exponential function with a base of 2 and raises it to the power of n/12. This term accounts for the logarithmic nature of musical pitch and determines the frequency ratio between two adjacent notes on a piano.

f0: This term represents the frequency of the reference note, which serves as a starting point for the calculation. The reference note is typically A4 (the A above middle C) and has a standard frequency of 440 Hz. However, different tuning systems or historical contexts may use alternative reference frequencies.

Combining these elements, the formula calculates the frequency of a note based on its position relative to the reference note, taking into account the logarithmic nature of musical pitch.

Therefore, "f" in the given formula is equivalent to the frequency of the note being considered on the piano. By plugging in the appropriate values for "n" (the number of half-steps from the reference note) and "f0" (the frequency of the reference note), we can determine the specific frequency of any note on the piano.

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Answer:

do 7/9*42. then you will get answer

Probability helps us to know the chances of an event occurring. The total number of red marbles in the bag is (7×42)/9.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given that there are 42 red marbles in the bag and each is equally likely to be chosen. Also, The probability of randomly choosing a red marble is 7/9. Therefore, the total number of red marbles in the bag is,

Number of red marbles = 7/9 × 42

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Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

Answer:

Slope = 20

y-intercept = 60

Step-by-step explanation:

Slope formula is given as \( m = \frac{y_2 - y_1}{x_2 - x_1} \)

Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).

Let,

\( (1, 80) = (x_1, y_1) \)

\( (2, 100) = (x_2, y_2) \)

Plug the values above into the formula for slope:

\( m = \frac{100 - 80}{2 - 1} = \frac{20}{1}} = 20 \)

Slope of the graph is 20.

The y-intercept is the point where the line intercepts the y-axis. Thus, y-intercept = 60.

Answer:

1q1231564rr54drdfgy6

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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Answer:

andrew

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation:

26,490 becomes 30,000

Answer:

\(1\frac{1}{2}\)

Step-by-step explanation:

We need to find the surface area of a cube with height \(\frac{1}{2}\).

The surface area of a cube with side n is \(6n^{2}\).

\(6\)x\(\frac{1}{2}^{2}\)= 6x\(\frac{1}{4}\) = \(\frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}\).

Answer:

Here's how:-

x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

\(altitude^{2} + base^{2} = hypotenuse^{2}\)

The base is 120cm and the hypotenuse is 122cm

Putting this in the equation, we get:-

\(altitude^{2} + 120^{2} = 122^{2}\)

\(altitude^{2} = 122^{2}- 120^{2}\)

\(altitude^{2} = 14884 - 14400\)

\(altitude^{2}\) = 484

altitude = \(\sqrt{484}\)

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

The answer is that the measure of ∠α is ≈ 20° when rounded to the nearest °

Step-by-step explanation:

To find the measure of ∠α you need to use the reciprocal of the formula for the law of sine which says that a/Sinα = b/Sinβ = c/Sin C. The reciprocal of this gives the new equation that states Sinα/a = Sinβ/b = Sin C/c, and this will help you to find the measure of the missing angle in °'s.

In the triangle line segment BC = 5units is opposite to point A & ∠α. Line segment AC = 7units  is opposite of point and ∠β which is = 28°. And finally, the hypotenuse length and the values of point C & ∠C are unknown, so they aren't important to solving the problem. Knowing all this you can plug in all the known values into the new formula, and start working on figuring things out.

To find the measure ∠α, you first write down everything, putting things into their proper places, so since you're solving for sinα you want the equation to look like this:

sinα/5 = sin28°/7

Then for the second step, you want to isolate the sinα. (To get it by itself × both left and righthand sides by 5 to begin simplifying).

This leaves you with :

sinα = sin28°÷7 · (5)    [And allows you to now solve for the right side of the equation, bringing us to our third step which is to once again simplify. So what you want to do is whip out your calculator and set it to degree mode, so you can find the of sin28° which is = 0.46947156278. Then ÷ that by 7, which will get you a number = 0.06706736611. Finally, take 0.06706736611 × 5,  and you will get the value = 0.33533683056, as your final answer in the third step]

Your equation should now look something like this :

sinα = 0.06706736611 × 5 or 0.33533683056

Moving onto the fourth step, you need to use the inverse of the trig function of sin to get your absolute value. (remember the inverse of sine or acrsin = sin^-1) Here you will need to multiply sin^-1 by 0.33533683056.

And also by now, you'll want to stop writing the equation as sinα = sin^-1 ×

0.33533683056, otherwise you won't get an answer, instead, you'll need to write:

α = sin^-1 × 0.33533683056

So once you do that for the fifth and final step, you'll need to simplify the equation on the righthand side one last time, and you should get the answer of α = 19.5930217327°. Which when rounded to the nearest ° is ≈ 20°.

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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The differential equation

dy/dx = x sin(x ²) / y

is separable as

y dy = x sin(x ²) dx

Integrate both sides:

∫ y dy = ∫ x sin(x ²) dx

∫ y dy = 1/2 ∫ 2x sin(x ²) dx

∫ y dy = 1/2 ∫ sin(x ²) d(x ²)

1/2 y ² = -1/2 cos(x ²) + C

Solve for y implicitly:

y ² = -cos(x ²) + C

Given that y = 1 when x = 0, we get

1² = -cos(0²) + C

1 = -cos(0) + C

1 = -1 + C

C = 2

Then the particular solution to the DE is

y ² = 2 - cos(x ²)

Solving explicitly for y would give two solutions,

y = ± √(2 - cos(x ²))

but only the one with the positive square root satisfies the initial condition:

√(2 - cos(0²)) = √1 = 1

-√(2 - cos(0²)) = -√1 = -1 ≠ 1

So the unique solution to this DE is

y = √(2 - cos(x ²))

Answer:

326

Step-by-step explanation:

Its hard to explain but you get the idea lol

Answer:

25

Step-by-step explanation:

I divided it and got the answer :)

Answer:

25 min.

Step-by-step explanation:

To find the answer, we just divide 60,000 by 2,400 and we get 25.

Answer:

The scatterplot that shows the strongest negative linear association would have the points on the plot in a downward slope from left to right. The closer the points are to forming a straight line going from the upper left to the lower right, the stronger the negative linear association is. The points on the scatterplot with the strongest negative linear association will be closely clustered along a line, indicating a clear and strong relationship between the two variables being plotted.

Answer:

The answer to your question is A "In an Old House"  I hope this helps

Sorry if I am wrong

Answer: It would be "In an Old House"

Step-by-step explanation:

Answer:

An equilateral triangle.

Answer:

a rectangle or square

Step-by-step explanation:

if you have a box think about it in an image in your head.

Answer:

8 oz

Step-by-step explanation:

1 lb = 16 oz

3 lb = 3 * 1 lb = 3 * 16 oz = 48 oz

The melon weighs 48 oz.

48 oz / 6 = 8 oz

Answer: 8 oz

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

Answer:

y to 0.78y is a decrease

Step-by-step explanation:

y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.