The distance between Eagle and lake and swallow lake on a mob is 9 cm the scale of the map is 14 m equals KM what is the actual distance between Eagle Lake and swallow lake?

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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According to gift economy A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.

According to the statement

we have given that the person has received a gift that's valued at $150 from the FINRA member firm through the traders. And we have to find about the type gift.

So, For this purpose, we know that the

A gift economy is one in which services or goods are given without an agreement as to a suitable payment or trade to be made in return.

And

The gift economy recognizes that in the real world, this is only a partial understanding of what motivates individuals and communities. The gift economy places greater value on qualitative relationships between dependent people. The commodity economy places greater value on quantitative trade of goods.

That's why, A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.

So, According to gift economy. A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.

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Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−

Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0

Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0

Solution=3±321 over 10

Step-by-step explanation:

Answer: 1/3 as an equation

Step-by-step explanation: file attached

The value of the vector \(proj_{vu}\) is <-972/169, -405/169>. (option d).

The projection of one vector onto another vector can be thought of as the shadow of one vector onto another in the direction of the second vector. Mathematically, the projection of vector v onto vector u can be calculated as follows:

\(proj_{vu}\) = (v · u / ||u||²) x u

Here, · denotes the dot product of two vectors, and ||u|| denotes the magnitude or length of vector u.

Now, let's apply this formula to the given vectors u and v:

u = <-12,-5>

v = <3,9>

To calculate \(proj_{vu}\), we first need to find the dot product of vectors u and v:

u · v = (-12 x 3) + (-5 x 9) = -36 - 45 = -81

Next, we need to find the magnitude of vector u:

||u|| = √((-12)² + (-5)²) = √(144 + 25) = √169 = 13

Now, we can substitute the values we have found into the formula for \(proj_{vu}\):

\(proj_{vu}\) = (-81 / (13²)) x <-12,-5> = <-81/13, -405/169>

Therefore, the answer to the given question is option (d): \(proj_{vu}\) = <-972/169, -405/169>.

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Answer:

Step-by-step explanation:

2.75 days * (24 hours)/day = 66 hours

6900(1.40)^(66/8) = 119,765.72

Answer:

110765.72

Step-by-step explanation:

The equation of the conic section  is x² + y² + 10x + 2y - 20 = 0

The equation of a circle is x^2 + y^2 - 4y - 21 = 0

A circle is a two-dimensional geometric shape that consists of a set of points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius.

A circle can be defined by its center point and radius or by its circumference, which is the distance around the perimeter of the circle. The circumference of a circle can be calculated using the formula:

C = 2πr

where C is the circumference, r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14.

The center of the circle is (-5,-1) and its radius is the distance from the center to any point on the circle. Using the distance formula, we can find the radius:

r = √((0 - (-1))² + (-10 - (-5))²) = √(1 + 25) = √(26)

So, the equation of the circle in standard form is:

(x + 5)² + (y + 1)² = 26

Alternatively, in general form, it can be written as:

x² + y² + 10x + 2y - 20 = 0

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Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

Answer:

$11.50

Step-by-step explanation:

46/4=11.5

In money have to make it the hundredths, so it's $11.50.

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Answer:

$11.50

Step-by-step explanation:

$46 ÷ 4 = 11.5

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

\(P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)

Putting their values,

\(P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } \)

\(P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } \)

Simplifying them we get,

\(pq = \sqrt{58} \)

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

The number of ways the selection can be made if CDs featuring at least 2 different instruments are chosen is 360.

To find the number of ways to select CDs featuring at least 2 different instruments, we need to consider three cases: CDs featuring two different instruments, CDs featuring three different instruments, and CDs featuring all three instruments.

Case 1: CDs featuring two different instruments:

We can choose two instruments out of the three available (piano, trumpet, saxophone) in C(3,2) = 3 ways. Once the two instruments are selected, we can choose 1 CD from each selected instrument in 6 * 4 = 24 ways. Therefore, in this case, the total number of ways is 3 * 24 = 72.

Case 2: CDs featuring three different instruments:

We can choose all three instruments in C(3,3) = 1 way. For each instrument, we have 1 CD available. Therefore, in this case, the total number of ways is 1.

Case 3: CDs featuring all three instruments:

We need to choose 1 CD each from the piano, trumpet, and saxophone, which can be done in 6 * 4 * 7 = 168 ways.

Therefore, the total number of ways to select CDs featuring at least 2 different instruments is 72 + 1 + 168 = 241.

It's worth noting that there are additional ways to interpret the problem statement, and the solution provided assumes that the order of selection does not matter.

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The variables that are neither qualitative nor continuous in the given survey are option B (Which time zone do you live in?) and option H (How much do you weigh in kilograms?).

Qualitative variables are variables that are categorical in nature, meaning they describe qualities or characteristics that cannot be measured on a numerical scale. In this survey, options A (What is your field of expertise?), C (Which country did you fly from?), E (Have you ever participated in any synthetic biology research before?), and G (How would you rate the research team's email communication system?) are qualitative variables as they involve categories or subjective ratings.
On the other hand, continuous variables are variables that can take on any value within a certain range. In this survey, option H (How much do you weigh in kilograms?) is not a continuous variable as weight is measured using a numerical scale, and option B (Which time zone do you live in?) is not a continuous variable as time zones are not measured on a numerical scale but rather represent specific regions.
To summarize, neither option B (Which time zone do you live in?) nor option H (How much do you weigh in kilograms?) in the given survey are qualitative or continuous variables.

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Answer:

A

Step-by-step explanation:

the rest are inccorect

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

D. When a transversal crosses parallel lines, the corresponding angles are congruent.

Step-by-step explanation:

This is quite self-explanatory. It is pretty well-explained in the textbook if you're looking for guidance, practice, or more help.

You need to remember these four theorems:

- Corresponding Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

- Alternate Interior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

- Alternate Exterior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

- Consecutive Interior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Answer:

−6x+18

Step-by-step explanation:

-6(x-3)

(−6)(x+−3)

=(−6)(x)+(−6)(−3)

=−6x+18

Answer:

18 - 6x

Step-by-step explanation:

According to the distributive property:

-6(x-3) =

-6*x + -6*-3 =

-6x + 18

Step-by-step explanation:

When we say sum we are referring to addition.

And a number and a variable(letter) can't be added. So the sum of 8 and t can't be added.

The sum of 8 and t is;

8+t

When we talk about product or finding the product of a number we are referring to the number we get after multiplying two or more numbers.

And note that with multiplication, a number and a variable(letter) can be multiplied.

The product of 5 and b is;

5×b=5b

Answer:

B

Step-by-step explanation:

5(h)=w+8. get rid of 5 by multiply

5h=w+8

w=5h-8

Answer:

sin(90-25) = sin(65)

Step-by-step explanation:

cos(a) = sin(90-a)

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The point of intersection is found by equating the expressions for P:

  6d = 5d +15

  d = 15

  p = 6d = 6·15 = 90

The point of intersection of the graphs is (15, 90).

The first equation graphs as a line with slope 6 through the origin.

The second equation graphs as a line with slope 5 through point (0, 15).

It is inconvenient to graph p and d using the same scale, so the attache graph has the vertical scale compressed somewhat.

Answer: x^2 + 2x - 2 = 0

Step-by-step explanation:

subtract 2x from both sides to get -2 + 2x + x^2 = 0

arrange terms to get x^2 + 2x - 2 = 0

Answer:

5 long sleeve, 5 tee shirtd.

Answer:

To subtract two-digit numbers, use column form. Subtract one column at a time, starting with the Ones column. We regroup, or borrow. To regroup, take 1 from the Tens column and add 10 to the Ones column.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

when you put it in a graphing calculator it would show the standard graph of an exponential decay function.

The original two-digit number is 10x+y =62.

Here, we have,

Let's denote the tens digit as x and the units digit as y.

The original two-digit number can be expressed as

10x+y.

According to the given information, the tens digit exceeds the units digit by 4, so we have the equation:

x=y+4

The number obtained by reversing the digits of the original number is

10y+x.

The problem states that the original number exceeds twice this reversed number by 10.

Therefore, we can write another equation:

10x+y=2(10y+x)+10

Now, let's solve these equations to determine the values of x and y and find the original number.

Expanding the second equation:

10x+y=20y+2x+10

10x−2x+y−20y=10

8x−19y=10

We now have a system of two equations:

Equation 1:

x=y+4

Equation 2:

8x−19y=10

Let's solve this system of equations.

We can substitute the value of x from Equation 1 into Equation 2:

8(y+4)−19y=10

8y+32−19y=10

−11y=−22

y=2

Now that we have the value of y, we can substitute it back into Equation 1 to find the value of x:

x=2+4

x=6

Therefore, the original two-digit number is 10x+y=10(6)+2=62.

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Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

Answer:

y = 1/3x + 10/3  

I hope this helped

Step-by-step explanation:

Answer:y = 1/3x + 10/3

Step-by-step explanation: got it right on edge