42 dollars is 72% of what number

Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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The length of the board measured using the books is 375 cm.

The concept of length is used to describe how far something is. In other terms, its length is defined as the distance between its ends. For length, the majority of measuring systems choose for a base unit from which all other units are derived. Shorter lengths are measured with inch rulers. In general, we use yardsticks to measure longer distances. We use a tape measure to determine the straight or flat length. A foot is composed of inches, while a yard is composed of a few inches. Certain units are also composed of other units.

Given that, one book is 17 cm tall.

Thus the length of the board is:

21 * 17 = 357 cm

Hence, the length of the board measured using the books is 375 cm.

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The complete question is:

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

9 because 18 divided by 2 is 9

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

The lines represent different routes taken by people walking in a city, where each block is 140m by 140m in size. The routes are determined by randomized variables, such as starting point, destination, and available pathways.

For a route that is 140m by 140m:

1. Calculate the diagonal length of the route: √2 x 140 = 196.4 m

2. Calculate the perimeter of the route: 4 x 140 = 560 m

3. Calculate the area of the route: 140 x 140 = 19600 m2

When calculating a route that is 140m by 140m, the first step is to calculate the diagonal length of the route. This is done by using the Pythagorean Theorem, which is written as √2 x 140. The result of this calculation is 196.4m. The second step is to calculate the perimeter of the route. This is done by multiplying the length of each side of the route by 4, which gives a total of 560m. The final step is to calculate the area of the route. This is done by multiplying the length and width of the route (140m x 140m), which gives a total of 19600m2. By using these calculations, one can easily measure the length, width, and area of a route that is 140m by 140m.

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Answer:

421.4 miles

Step-by-step explanation:

Numner of miles= ($270.79-$17.95)/86 cents

= $252.84/$0.60

=421.4 miles

Answer:

Step-by-step explanation:

a. 1 hectare = 2.471 acres 

6 hectares x (2.471 acres / 1 hectare)

=14.826 acres

b. prices per acre: 150,000/14.826

=10,117.36 per acre

Step-by-step explanation:

the average score would be 3 i think

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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Answer:

For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2

Step-by-step explanation:

Answer: the missing angle has a measure of 90 degrees, which is option (d).

Step-by-step explanation:

20 + 70 + x = 180

We are able include the two known angles and after that subtract the result from 180 to induce the degree of the lost point:

20 + 70 = 90

180 - 90 = 90

Answer:

Step-by-step explanation:

4 septillions, 897 sxtillions(search up the word i cant say it), 315 quintillions, 386 quadrillions, 290 trillions, 303 billions, 644 millions, 433 thousands and 313.

Answer:

52

is this the answer

Answer:

x = 5

Step-by-step explanation:

2x-3 = x+2

x= 2x-5

-x = -5

(Subraction sign gets cancelled)

Thus, x=5

Given data:

The first point given is (5,2) .

The second point given is (7,0)​.

The slope of the given points is,

The equation of the line passing through the given points is,

Compare the above equation with the standard equation of the line.

Here, c is y-intercept.

Thus, the slope of the line is - 1, y-intercept is 7, and equation of the line is y = -x+7.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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In the situation, 7/1.6 and 35/8 are proportional.

If the ratio between the corresponding elements of two numerical sequences, frequently experimental data, is constant, the sequences are proportional or directly proportional.

We have given \($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)

\($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)

Multiply the cross-product and

35 × 1.6 must be equal to 7 × 8 to be proportional.

35 × 1.6

= 56

And then,

7 × 8

= 56

We see that,

56 = 56

Since the cross-products are equal to 1, we can say that 7/1.6 and 35/8 are proportional.

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Answer:

the 2nd option is correct.

Step-by-step explanation:

Hope you have a great day!

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Answer:

It is B

Step-by-step explanation:

All it is asking is what times itself equals 64, 8*8 equals 64 and -8*-8 equals 64 so therefore it is line B, if you want to learn this better by yourself just look at the numbers and ignore the letters, it makes it less scary. Please mark brainlest.

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Given the system of equations:

As shown in the figure, there are 3 points that are the solutions to the system

For each point given the value of x

So, we will substitute with (x) to find (y)

From the second equation:

substitute with x = -2.65, 0, 2.65

So, the answer will be:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

1, 2, 3, 6, 13, 26, 39, and 78

Step-by-step explanation:

:)

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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The least amount of water was lost at Lake Stockton. It's best to choose C.

Given that,

Three lakes lost water. Lake Stockton lost 246, 3 hundredths of its water, Lake Parlor lost 85% of its water, and Lake Jensen lost \(\frac{5}{6}\) of its water.

Percentage is calculated by multiplying the ratio of a material's composition to the total composition of a material by 100.

Here, the percentage of each lake following the draught is equal, i.e.

Lake Jensen = \(\frac{5}{6}\) =83.33%

Lake Parlor =85%

Lake Stockton =\(\frac{246}{300}\)=82%

Therefore, from obtaining a fraction we got the least amount of water was lost at Lake Stockton. It's best to choose C.

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Answer: Lake Stockton

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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