The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)

Answer:

14.86 knots.

Step-by-step explanation:

Given that:

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]

[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]

Answer:

Domain: (-∞, -7) ∪ (-7, ∞)

Step-by-step explanation:

There is a vertical asymptote at x = -7, so the answer would be all real numbers except for when x= -7

Answer:

Circle Circumference: 5

Triangle: 8

Circle Area: 3

Regular Polygon: 7

Parallelogram:6

Equilateral triangle: 1

Trapezoid:4

Rectangle:2

Step-by-step explanation:

I don't know how I would do a step by step explanation

Answer:

C. the purchased property that secures the loan

Step-by-step explanation:

Mortgage collateral describe the use of a property e.g house to secure a loan. This collateral is always requested when a large amount of money is involved. The house could be sold if the borrower renege (fail to meet up with) on the due date as regards the agreement after collecting the loan.

Therefore, a mortgage collateral could be referred to as the purchased property that has been used to secure a loan by a borrower.

Therefore the purchased property that secures the loan is the correct answer.

Collateral refers to an asset that a borrower offers as a guarantee for a loan, such as a mortgage.

When you obtain the loan, the lender puts a lien on the collateral. The lien stipulates that the lender can seize the collateral if you don’t repay the loan under the terms of the contract.

Once you repay the loan, the lender removes the lien and no longer has a claim to the collateral.

In the case of a mortgage, the collateral is the real property.

When determining whether to approve your loan, the lender will  ensure that the property ,the collateral ,is actually worth what you propose to pay for it with the loan.

If it isn’t, the lender can deny the mortgage because the asset isn’t worth the risk.

Therefore the purchased property that secures the loan is the correct answer.

To know more about Collateral

https://brainly.com/question/6779619

#SPJ5

Answer:

8

Step-by-step explanation:

8 is greater than 7

Answer:

Dependent = cost

independent = number of DVDs

Discrete

Function :f(x) = 16 x  = 16 (6)

Solution = $96

Step-by-step explanation:

Hi, to answer this question we have to write a function:

The cost (f(x)) must be equal to the price per DVD (16) multiplied by the number of DVDs (x)

Function: f(x) = 16 x  

Dependent = f (x) =(cost)

Independent = x (number of DVDs)

Solution for x=6

f(6) = 16 (6)

Cost = $96

Since the number of DVDs can't be fractional it's a Discrete function.

Answer:

u have insta

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Factor: -7x^2 -5x+18

Factor -1 out of 7x^2 -5x +18:

−(7x^2+5x−18)

Factor.

1. 18 is negative, so a negative number multiplied by a postive number.

2. You can't factor 7, so 7x times x.

(7x−9)(x+2)

Answer: the correct answer is C

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

The point (2,1) is the only point that is not included in the shaded region so I would assume that it's not a solution to the system.

Answer:

250

Step-by-step explanation:

245 / 0.98 = 250

Answer: 8568 pounds

poopity scoopity:)))

There are total 8568 pounds in 4 tons and 568 pounds.

A unit conversion expresses the same property as a different unit of measurement.

For example, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given that, there are how many pounds in 4 tons plus 568 pounds in total,

So, for the same we will use the concept of unit conversion,

Here, we will convert the unit of 4 tons into pounds then add the extra pounds given to get the total pounds,

Since, we know that, 1 ton = 2000 pounds

So, 4 tons = 4 x 2000 = 8000 pounds

Therefore,

4 tons plus 568 pounds

= 8000 pounds + 568 pounds = 8568 pounds

Hence, there are 8568 pounds in 4 tons plus 568 pounds

Learn more about unit conversion, click;

https://brainly.com/question/19420601

#SPJ3

Answer:

A

Step-by-step explanation:

Answer:

1

Step-by-step Explanation

Step-by-step Explanation

[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]

Answer: Graph C

Step-by-step explanation:

The correct graph is C.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given : On a piece of paper, graph y - 3 > 2x + 2.

To find : determine which answer choice matches the graph you drew,

y - 3 > 2x +  2

y > 2x + 5

x = 0

y > 5

x = - 3

y > - 1

at x = 0,  y = 5

0 < 5

origin does not lie in the shaded region,

as y > 2x + 5

line y = 2 x+ 5 is not part of solution (dotted line)

Hence Graph C is correct

Learn more about linear inequalities click;

brainly.in/question/14103805

#SPJ7

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.

Since the given section is a Sector of a Circle with length as, 8πcm .

Thus then it's folded veltically at an axis to make a cone.

since we know that, The Curved surface area of a cone is given as formula,

C.S.A = πrl

where, r = radius and l = slant height.

also 2πr = circumference of a circle,

we get as, radius = 4 cm.

Answer:

r = 4 cm

Step-by-step explanation:

AB is actually the circumference of the circle

So,

Circumference = 8π cm

Whereas,

Circumference = 2πr

8π = 2πr

Dividing both sides by 2π

=> r = 4 cm

Answer:

x = 1

Step-by-step explanation:

This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.

Answer:

X=1

Step-by-step explanation:

→Answer:

8T - 7lb - 6oz

→Step-by-step explanation:

So 17T 13lb 3oz - 9T 20lb 9oz

This information is asking us to simplify the expression.

To do that we need to combine like terms meaning If t and t are alike variables they go together.

And in this expression we have 3 pairs of alike variables which are T, lb, and oz.

So we need to subtract all the like terms.

_____________

17T - 9T is 8T

13lb - 20lb is -7lb

3oz - 9 oz is -6oz

______________

So,

The expression now shows 8T - 7lb - 6oz.

___________________I do hope this helps!________________

_____________Brainliest is always appreciated!_____________

Answer:

Volume = 1114.1 [tex]in^3[/tex]

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]

Finally,we can now write the volume of the pyramid as:

[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 [tex]in^3[/tex]

Answer: A. (-3,7)

Step-by-step explanation:

No work needed, you just need to look at the coordinate plane.

Coordinate II is x as a negative and y as a positive

Answer:

D, (5,-1)

5 is in the x axis

-1 is in the y axis

This point is it the second quadent

Hope this helps ( if incorrect try a)

Answer:

Area of ΔDEF = 12 in²

Step-by-step explanation:

Since they are similar, we have to find the scale factor

Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]

Scale Factor = 4/2

Scale Factor = 2

This means The area of ΔABC is 2 times the area of ΔDEF

So,

ΔABC = 2(ΔDEF)

Where Area of ΔABC = 24 in²

24 = 2(ΔDEF)

Dividing both sides by 2

=> Area of ΔDEF = 12 in²

Answer:

Minimum 5 socks needs to be selected.

Step-by-step explanation:

Given that there are four different colors of socks.

So, if you pick 4 socks , in worst case it will be all four of different color.

now if you pick 5th socks it will be either of those four colors.

Hence, minimum 5 socks must be taken to ensure that  a pair of matching-color socks is selected.

______________________________________________

To elaborate it more,

let four colors be red, yellow, blue , green

if you pick 5 socks, then in worst case four will be all of different color

red, yellow, blue , green but fifth will be

Hence. minimum 5 socks needs to be selected.

_______________________________________

In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.

Answer: h(x) = 3*(1/6)^(x + 4)

Step-by-step explanation:

if we have a function g(x), and we want to create another function h(x) such that:

h(x) is a vertical contraction/dilation of factor a.

Then h(x) = a*g(x).

h(x) is a right shift of N units (N positive):

h(x) = g(x - N)

Then:

A vertical shink of factor 1/3 means that:

h(x) = (1/3)*g(x)

And a left shift of 4 units (or a right shift of -4 units) means that

h(x) = (1/3)g(x - (-4)) = (1/3)*g(x + 4)

and we know that:

g(x) = 9*(1/6)^x

Then:

h(x) = (1/3)*9*(1/6)^(x + 4) = 3*(1/6)^(x + 4)

Answer: y=-4/3x-(34/3)

Step-by-step explanation:

Since we want to find the equation of a parallel line, we know the slope is going to stay the same. If the slope is changed, the lines will intersect at one point. All we need to do is to find the y-intercept. We can do that by using the point provided.

[tex]2=-\frac{4}{3} (-10)+b[/tex]

[tex]2=\frac{40}{3} +b[/tex]

[tex]b=-\frac{34}{3}[/tex]

Now that we know the y-intercept, we can complete the equation.

y=-4/3x-(34/3)

Answer:

[tex] 12^{11} [/tex]

Step-by-step explanation:

Count the number of factors of 12. The number is 11. There are 11 factors of 12, so the base is 12, and the exponent is 11.

Answer: [tex] 12^{11} [/tex]

Answer:

12¹¹

Step-by-step explanation:

12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12

12 is being multiplied by itself 11 times.

= 12¹¹

= 743008370688

Answer:

  17 numbers with any number of digits

  12 numbers using as many digits as possible

Step-by-step explanation:

It depends on how many digits you are required to use. If you're not required to use more than one digit, then the possible numbers are ...

  0, 2, 8, 20, 28, 80, 82, 88,

  208, 280, 288, 802, 808, 820, 828, 880, 882

for a total of 17 numbers.

__

If you must use the maximum possible number of digits, then the 1-digit numbers and the 2-digit numbers containing 0 must be taken off the list, leaving ...

  028, 082, 088, (and all the above 3-digit numbers)

for a total of 12 numbers.

Answer:

Given:

Number of yards of red fabric purchased by Jane = 50

Number of yards of gold fabric purchased by Jane = 110

We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.

For this we will find H.C.F. of 50 and 110.

Factors of 50 = 1, 2, 5, 10, 25, 50.

Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.

So, Highest common factor of 50 and 110 is 10.

So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

Number of yards of red fabric is given by:

50/10=5

Number of yards of gold fabric is given by

110/10=11

Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Answer:

[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]

Answer:

(8x+y)(2x+3y)

Step-by-step explanation:

see attached

Answer:

13<x<39 (range of hours)

Step-by-step explanation:

2<x<6 (x is the range of days)

Since each workday is 6.5 hours, multiply everything by 6.5:

13<x<39 (the new x is the range of hours)

Answer:

57°

Step-by-step explanation:

Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle

So the angles ∠OAB= ∠OBA

∠AOB= 66° and sum of 3 angles = 180°

So  ∠OAB= (180° - 66°)/2= 57°

Answer:

n = √2/8

Step-by-step explanation:

1/4 × √ 2 = 2n

√2/4 = 2n

√2 = 4×2n

8n = √2

n = √2/8

The value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is n = √2 / 8

The given equation is:

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

Multiply through by 4

[tex] \sqrt{2} = 4(2n)[/tex]

This can be further simplified as

[tex] \sqrt{2} = 8n[/tex]

[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]

The like terms cancel out

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Therefore, the value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Learn more here: https://brainly.com/question/2956399