In 2010, 100 japanese yen purchased .88 u.s. dollars and in 2013, it purchased .93 u.s. dollars. how much was 1 u.s. dollar worth in japanese yen, in 2010 and 2013?

The total length did Carlos swim is 420 feet.

To find the perimeter.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that:

Let the perimeter of rectangular swimming pool be x metres.

Then, its length =21 feet.

The width of the pool = 9 feet

The Perimeter of a rectangle =2(Length+Breadth)

According to the given condition, we have

Perimeter of a rectangle =2(Length+Breadth)

Perimeter of a rectangle=2(21+9)

Perimeter of a rectangle=2*30

Perimeter of a rectangle=60 feet

But, ​carlos swam the perimeter of a rectangular pool seven times.

Old perimeter=7*60=420  feet

Thus ,the total length did Carlos swim is 420 feet.

Learn more about rectangle here:

https://brainly.com/question/10064327

#SPJ2

Answer:

STEP 2

Step-by-step explanation:Simplifying

 -3(y) = -3(15 -2z)

should yield

 -3y = -45 +6z

Write an equation to match each graph.

Solution:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,

y=|x|

The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,

y=|x-1|

The third  graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,

y=-|x|+1

The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,

y=|x-1|-1

The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is

y=|x+1|

Hey there!!

First, let's learn the parabola formula when the focus and the directrix is given.

Formula :

[tex]y = \frac{( x - a ) ^{2} }{ 2 ( b - k ) } + \frac{( b + k ) }{2}[/tex]

We have ,

Focus : ( 0 , -2 )

Hence, a = 0 and b = -2

And k = 6

Now, we will just have to plug in the values and find out the equation.

[tex]y = \frac{( x - 0 )^{2} }{2 ( - 2 - 6 )} + \frac{( - 2 + 6 ) }{2}[/tex]

[tex]y = \frac{x^{2} }{-16}+ 2[/tex]

The final equation would be :

[tex]y = \frac{-x^{2} }{16} + 2[/tex]

Hope my answer helps!!

Answer:

Option C. 73

Step-by-step explanation:

In the given figure Δ OPQ is the right angle triangle because radius is always perpendicular to the tangent drawn on the circle from an external point.

Here OQ is radius and PO is tangent.

So ∠OQP = 90°

Now sum of all angles of a triangle is 180°

Therefore, ∠OPQ + ∠OQP + ∠POQ = 180°

                  17° + 90° + x° = 180°

                 107 + x = 180

                 x = 180 - 107

                 x = 73°

Option C. 73

Answer:

Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = (-∞, 4)

Step-by-step explanation:

The vertex of the quadratic equation:

f(x) = a(x - h)² + k

Here, Vertex = (h,k)

Thus, Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = All real numbers less than or equal to 4 i.e. (-∞, 4) or f = ≤ 4.

Further, the possible values of x are called Domain.

And, the possible output we get as y is called Range.

Th answer to the inequality will be evaluated as follows:

5y+3>-7y+3

putting like terms together we obtain:

5y+7y>3-3

2y>0

dividing both sides by 2 we get:

(2y)/2>0/2

thus

y>0

To simplify -62 ÷ 12 - 2(-7), evaluate the expression inside the parentheses first, then perform the division and subtraction.

To simplify the expression -62 ÷ 12 - 2(-7), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in this case. First, we need to evaluate the expression inside the parentheses: 2(-7) = -14. Then, we perform the division: -62 ÷ 12 = -5. Finally, "we subtract: -5 - (-14) = -5 + 14 = 9".

https://brainly.com/question/29003427

#SPJ12

Answer:

Option A is correct

The expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

Step-by-step explanation:

Using the formula:

[tex](f \cdot g)(x) = f(x) \cdot g(x)[/tex]                  .....[1]

Given the expression:

[tex](f\cdot g)(5)[/tex]

Substitute the value of x = 5 in [1]

we get;

[tex](f \cdot g)(5) = f(5) \cdot g(5)[/tex]

Therefore, the expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

I think its Polyhedron, pyramid, solid.

Answer:

Hence, the correct options are Polyhedron, Pyramid and Solid

Step-by-step explanation:

According to the options, we have,

1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.

So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.

Thus, it is a polyhedron.

2. Polygon is a closed two dimensional figure bounded by straight lines.

But, the given figure is not a 2-D figure and so is not a polygon.

3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.

Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.

So, the given figure is not a prism.

4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.

As, we can see that the given figure have polygonal base and triangular sides converging to a point.

So, the given figure is a pyramid.

5. Cube is a 3-D figure with all the six faces as squares.

But, the given figure does not have square faces and so is not a cube.

6. Solid is a figure having three dimensions.

Since, the given figure does have three dimensions.

So, it is a solid.