Write -37.75 as a mixed number.​

Answer:

The volume of the prism is of 1368 cubic m.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is the multiplication of the lengths of its dimensions.

In this question:

Dimensions of 8m, 9m and 19m. So

8*9*19 = 1368.

Dimensions in meters, so volume in cubic meters.

The volume of the prism is of 1368 cubic m.

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.

We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.

So at this point we need to take the difference between the two mixed numbers, we will get:

(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)

(4 - 2) + (3/4 - 1/4) = 2 + 2/4

2 + 2/4  = 2 + 1/2

Then she founds (3 + 3/8) more. Now we need to add that:

2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)

(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)

5 + (4/8 + 3/8) = 5 + 7/8

She has 5 + 7/8 tubes of purple paint.

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If x = 0.164164164…, then 1000x = 164.164164164…. Subtracting these gives

1000x - x = 999x = 164

so that

x = 164/999

Applying the Angle Addition Postulate, the measure of angle BDC is calculated as: 57 degrees.

The Angle Addition Postulate establishes that when two angles are adjacent, the measure of the resulting angle formed by their combination is equal to the sum of their individual measures.

Therefore, according to the Angle Addition Postulate, we would have:

(-6x + 11) + (-7x + 15) = 104

Solve for x:

-6x + 11 - 7x + 15 = 104

-13x + 26 = 104

-13x = 104 - 26

-13x = 78

x = -6

Measure of angle BDC = -7x + 15

Plug in the value of x:

Measure of angle BDC = -7(-6) + 15 = 57°

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Answer:

f = 2 ^ x es cierto para todo y

Answer:

63

Step-by-step explanation:

(4 + 5) * (4 + 3) =

9 * 7 = 63

Answer:

x+3 and x+ 2

=3x(x) 2x

=6x

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

I think the most you need would be 4or 5 to be bring it to a solid D but it really depends on what percent of the grade you have like if it's a 7% then it's going to take a little bit more than that

m∠NPQ=2×m∠NRQ

or m∠NRQ=1/2×m∠NPQ

=1/2×90

= 45

m∠NRQ=45

Answer:

I am not really sure but I asume it is C honestly I am sorry if I am wrong. But if I am right I really hope this helps

answer 60°

solve:180°-(60°+60°)

180°-120°

60°##

Answer:

No X-intercept: √(x)+1

No Y-intercept:   √(x-1)

Step-by-step explanation:

To solve this you need to have some knowledge about a  bunch of parent graphs and so this question is kind of hard to explain

Answer:

A. I

Step-by-step explanation:

The other person is wrong and I took the test

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

Hence the value of x is 8

Answer:

The entire trapezoid is 48 units sq

the cut out part is 30

the trapezoid without the cutout is 18

Step-by-step explanation:

Answer: D 36л

Step-by-step explanation:

s = θr

where r is the radius of the circle.  given that the arc length is 6, and the central angle is π/3 radians r:

6 = (π/3)r

r = 6/(π/3) = 18/π

the circumference of the circle is given by:

C = 2πr

Substituting r = 18/π, we get:C = 2π(18/π) = 36

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

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Answer:D

Step-by-step explanation:

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

3 : 1

Step-by-step explanation:

The biggest circle has a radius of 20 cm

So that means, its area will be,

Area = \(\pi r^{2}\)

Area = \(\pi * 20^{2}\)

A = \(\pi * 400\)

=> A = 400\(\pi\)

We do not need to solve this because it is nit required

Then, one small circle has an area of,

Area = \(\pi r^{2}\)

Area = \(\pi *5^{2}\)

Area = \(\pi *25\)

=> Area = 25\(\pi\)

As there are 4 circles in, we get that the area covered by the small squares,

=> \(25\pi * 4\)

=> \(100\pi\)

So, the amount shaded = 100/400 (We can omit the \(\pi\) at this stage because we are finding out a ratio)

=> 1/4

So, there is 1 cut region and the remaining is the uncut region,

As we need to find uncut to cut, the ratio will be,

=> remaining : 1

=> 3 : 1

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The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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Answer:

Solving vertically

Step-by-step explanation:

5604*1=5604

5604*8=40000+4800+32=44832

44832*10+5604=453924

The value of the product of 5604 and 81 is 453924 and this can be determined by using the arithmetic operations.

Given :

Number 1 - 5604

Number 2 - 81

The following steps can be used to determine the product of 5604 and 81:

Step 1 - Write the expression.

\(=5604\times 81\)

Step 2 - Now, split 81 in 9\(\times\)9 in the above expression.

\(=5604\times 9 \times 9\)

Step 3 - Now, write 5604 as \(1401\times 4\) in the above expression.

\(=1401\times 4 \times 9 \times 9\)

Step 4 - Multiply 4 by 9 in the above expression.

\(=1401\times 36\times 9\)

Step 5 - Multiply 36 by 4 in the above expression.

\(=1401\times 324\)

Step 6 - Multiply 1401 by 324 in the above expression.

= 453924

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The easiest way to find the slope is to find 2 points that are at an exact point. (-3,1) and (2,-3) are exact points. Start at (-3,1) and count to the right 5 and go down four. The slope would be \(\frac{5}{-4}\) or \(\frac{-5}{4}\).

I hope my explanation makes sense! :) If it doesn't make sense I can try to explain it better!

Step-by-step explanation:

-10 + 8x < 6x - 4

Bringing like terms on one side

8x - 6x < - 4 + 10

2x < 6

x < 6/2

x < 3

We will have the following:

His speed on the return (r) trio was 4mph faster than his speed in the first trip (o), so:

Then, we have that speed times distance equals time, and distance is equal to time over speed. Thus:

Then, we have:

So, the initial speed was of 8mph.

Then we deternine the distance:

So, the two cities are 48 miles apart.

Answer:

7:4 that would be the ratio