How do I solve this equation?

The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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Wanda can choose from 12 different combinations of skirts and blouses to wear to work tomorrow.

A combination is a way of selecting items from a larger set without regard to their order.

Combinations are often used when we want to count the number of ways a certain number of items can be selected from a larger set without considering the order in which the items are selected.

To determine the total number of different combinations of skirts and blouses that Wanda can choose to wear tomorrow, we need to multiply the number of options she has for skirts by the number of options she has for blouses.

Skirts: 3 options

Blouses: 4 options

Total combinations: 3 x 4 = 12

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Answer:

11m/min

Step-by-step explanation:

slope of the line = velocity of the turtle

slope = y/x

= 55/5

=11

Answer:

11

Step-by-step explanation:

55 meters by 5 minutes, so divide 55 by 5 to find one minute.

55/5 = 11

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The expression is given in the question as:

⇒ 3.14d

The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).

Thus, the circumference of the Ferris wheel is:

⇒ 3.14 × 520 = 1635.2 feet.

Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

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Answer: -5

Step-by-step explanation:

Multilpy  \(\frac{1}{4}\) x (-5 + 5 x (3)

Calculate \(\frac{1}{4}\) x (-5 - 15)

-\(\frac{1}{4}\) x 20

= -5

Answer:

-5

Step-by-step explanation:

1/4 ( -5 + 5(-3))

Using PEMDAS

Multiply inside the parentheses

1/4 ( -5 + -15)

Add inside the parentheses

1/4( -20)

Multiply

-5

Answer:

It will take 1.29 minutes for Jamaal to write a full page.

Step-by-step explanation:

This question is asking us for the unit rate. So, we must divide the numerator by the denominator in 18/14.

18 ÷ 14 = 1.29

This means that it will take 1.29 minutes for Jamaal to write a full page.

Hope this helps! :)

The solution to lim h→0 (9 + h)−1 − 9−1 h is -1/9.

To find the solution to lim h→0 (9 + h)−1 − 9−1 h, we can simplify the expression first.

Starting with (9 + h)−1, we can use the formula for the difference of squares to get:

\((9 + h)-1 = (9 + h - 9) / ((9 + h)(9 - 9)) = h / (9h + h^2)\)
Substituting this back into the original expression gives:

\((9 + h)-1 -9-1 h = h / (9h + h^2) - 1 / 9h\)

We can combine the two fractions by finding a common denominator of 9h(9 + h), giving:

(9h - (9 + h)) / (9h(9 + h)) = -1 / (9 + h)

Now we can take the limit as h approaches 0:

lim h→0 (9 + h)−1 − 9−1 h = lim h→0 -1 / (9 + h) = -1 / 9

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Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω｀●)

Answer:

Step-by-step explanation:

In numerical order:

      \(1\frac{2}{3},1\frac{3}{4}\)

Since there are only 2 scores the median(middle score)  will be the same as the mean:

     \((1\frac{2}{3}+ 1\frac{3}{4}) \div 2=(\frac{20}{12}+ \frac{21}{12}) \div 2=\frac{41}{12} \times \frac{1}{2} =\frac{41}{24}=1\frac{17}{24}\)

Answer:

15.25 hours

Step-by-step explanation:

her pay per hour is $27.2

414.80÷27.2=15.25

The original price is 100%, a 15% discount means the shoes are now ( 100-15 = 85) 85% of the original price,.

Multiply the original price by 85%

60 x 0.85 = 51

The price is $51

Answer:

$51

Step-by-step explanation:

15% discount means that the new price is 85% of the original one. Therefore we just need to multiply 60 by 0.85 to find 85% of the number.

60x0.85=$51

The new price would be $51.

Similarly you could also have divided 60 by 100 to find one percent of it (60/100=0.6) and then multiplied it by 85 to find 85%. (0.6x85=51)

Hope this helped!

Answer:

B

Step-by-step explanation:

Due to the absolute value sign....there will be no negatives in the answer for y....    so either   b or c

2.5 * |-3|  = 7.5      so answer B

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

y, because it crosses the y-axis.

b, because in y=mx+b b is the y-intercept.

Step-by-step explanation:

This is basically just memorization.

The rectangle's length and width can be replaced by variables. and can make use of the area. The area of the garden under consideration can be expressed as x^2-11x+28 square feet.

What mathematical expressions can be created using the above description?

Variables can be used to represent the unknowable amounts. Follow the description and mathematically convert each item one by one. For instance, if you are instructed to multiply an item by 4, you can do so by adding 4. You can multiply anything by two, for instance, if it is doubled, and so on to translate a description into a mathematical expression.

How can you describe the size of the garden in words?

Let the garden's length be y feet.

Since the garden's length is one foot longer than its breadth, which is specified as being (x-7) feet, y=3+ (x-7)

y=3+(x-7)

y=x-4 feet

Since the length and breadth of the rectangle under consideration are multiplied to determine the area of the rectangle, the following results are obtained:

A= length * width

A= (x-4)(x-7)

A= x^2-7x-4x+28

A= x^2-11x+28

Consequently, one phrase for the size of the garden under consideration is x^2-11x+28 square feet.

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The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

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Answer:

C: (4,5)

Step-by-step explanation:

The solution is where the two lines intersect.

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Answer:9/14 because when u multiply them its 18/28 but when simplified its 9/14

Step-by-step explanation:hope this helps : )

Answer:

Step-by-step explanation:

10 , 9,8,7,6,5,4,3,2,1,0,-1,-2-3,-4

Hope this helps

pretty sure my answer was incorrect but I cant delete it

Answer:

hope you can understand

There are 479,001,600 possible ways to arrange the 12 ping pong balls in a row.

To find the number of possible ways the 12 ping pong balls can be arranged in a row, we can use the concept of permutations.

Since all 12 ping pong balls are distinct (each color is unique), we can use the formula for permutations of distinct objects. The formula is:

nPr = n! / (n - r)!

Where n is the total number of objects and r is the number of objects taken at a time.

In this case, we have 12 ping pong balls, so n = 12.

To arrange all 12 ping pong balls in a row, we take all 12 balls at a time, so r = 12.

Plugging the values into the formula, we get:

12P12 = 12! / (12 - 12)!

= 12! / 0!

= 12!

The factorial of 12 (12!) is calculated as:

12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

Evaluating this expression, we find:

12! = 479,001,600

Therefore, there are 479,001,600 possible ways to arrange the 12 ping pong balls in a row.

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Answer:

ugh wdym like 10 20 ,30 40 and so on ....

Answer10 20 30 40 50 60 70 80 90 100 110 120

Step-by-step explanation:

10x1=10

10x2=20

10x3=30

10x4=40

10x5=50

10x6=60

10x7=70

10x8=80

10x9=90

10x10=100

10x11=110

10x12=120

Answer:

x = 10

Step-by-step explanation:

OA = OD ( both radii of the circle )

OD = OB + BD = x + 16

OB is at right angles to OB ( line from centre to midpoint of chord is right )

Using Pythagoras' identity in right triangle ABO

OA² = OB² + AB² , that is

(x + 16)² = x² + 24²

x² + 32x + 256 = x² + 576 ( subtract x² from both sides )

32x + 256 = 576 ( subtract 256 from both sides )

32x = 320 ( divide both sides by 32 )

x = 10

From the data in this table, the most likely cause of the change in real per capita GDP from 2021 to a mythical 2071 is an increase in technology.

Here's a step-by-step explanation:

1. The population increased from 100 million to 200 million, but the number of workers remained at 50% (from 50 million to 100 million).

Therefore, the fraction of the population working did not change.

2. The GDP deflator increased from 115 to 250, and the CPI remained the same at 275, indicating that inflation was not the main cause of the change in real GDP.

3. The capital in 2021 values increased from $10,000,000 to $20,000,000, while the number of workers doubled, keeping the capital per worker constant.

Considering these factors, an increase in technology is the most plausible explanation for the observed change in real per capita GDP from 2021 to 2071.

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When we look at the table, it's clear that the most probable cause of the increase in real per capita GDP from 2021 to 2071 is an increase in technology.What most likely caused the change in real per capita GDP from 2021 to 2071 from the data in the table?

Year Population Workers GDP (millions) (millions)DeflatorReal GDP (millions)CPICapital (2021 values in millions)$10,000,000 $20,000,0002021100501156,000,00027530,000,0005152071200100250As we can see, the population grew by a factor of two from 100 million to 200 million people. The number of employees increased from 50 million to 100 million, indicating that more people are working.

However, the real GDP increased from 115 million to 250 million dollars, which is a significant rise. Since the number of employees grew by a factor of two, the increase in GDP cannot be caused by an increase in labor. Since the real GDP increased at a faster rate than the deflator, inflation cannot be responsible for the increase either. Therefore, the most likely cause of the increase in real per capita GDP is an increase in technology. Technology allows individuals to generate more income from the same level of effort, resulting in a rise in productivity.

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Answer: 5. x=33, y= 33, z=114

Step-by-step explanation: the triangles and supplementary lines all add to 180, so find one of them, and use that one to find the others

Answer:

180 degrees

Step-by-step explanation:

1. Subtract the two known angles from 180 degrees.

2. Plug the two angles into the formula and use algebra: A+B+C= 180 degrees.

Hope this helped.