Two boats are moving towards each other from harbours that are 144 km apart. One boat is moving at 63 km.h-1 and the other boat at 81 km.h-1 . If both started their journey at the same time, how long will they take to pass each other?

Answer:

The correct answers are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds

Step-by-step explanation:

These three values fall in the domain of the function that's represented by the graph. 0 ≤x≤  8. Hope this helps, good luck!

The values that are in the domain of the function represented by the graph are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

The domain refers to all of the values that are included in a relation or function.

The Domain set is made up of all used independent input values.

Given:

As, we now the domain are the input values.

From the graph the domain is represented on the x- axis.

So, the graph show the value from 0 to 8 on the x- axis.

Hence, the domain of the graph is { 0≤ x ≤ 8}

Learn more about Domain here:

https://brainly.com/question/28135761

#SPJ2

Answer: 13.32 yards per minute

Step-by-step explanation:

given that an air conditioning system can circulate 360 cubic feet of air per minute.

This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Cross multiply

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

Answer:

2sin50 cos20

Step-by-step explanation:

We need to write sin (70) + sin(30) as a product. The formula used here is :

[tex]\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})[/tex]

Here, A = 70 and B = 30

So,

[tex]\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20[/tex]

So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is  (c).

Answer:

A

Step-by-step explanation:

When two angles are complementary, their measures must add up to 90 degrees. Therefore:

2x-2+3x-5=90

5x-7=90

5x=97

x=19.4

2x-2=2(19.4)-2=38.8-2=36.8

Therefore, the correct answer is choice A. Hope this helps!

Answer:

9y+24

Step-by-step explanation:

2(3y+6)-3(-4-y)

6y+12+12+3y

9y+24

Answer:

[tex]9y+24[/tex]

or

[tex]3(3y+8)[/tex]

Step-by-step explanation:

The expression is:

[tex]2(3y+6)-3(-4-y)[/tex]

In order to simplify the expression first multiply the numbers inside the parenthesis by the factor:

[tex]6y+12+12+3y[/tex]

[tex]6y+24+3y[/tex]

[tex]9y+24[/tex]

Another alternative is:

[tex]3(3y+8)[/tex]

Because 3 is a common factor of 9 and 24

Answer:

a) 1/8

b) 1/9

c) 1/10,000

Step-by-step explanation:

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y      (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. Hope this helps!

Answer:

7

Step-by-step explanation:

4/2 = 14/x, cross multiply and simplify, x=7

Answer:

7

Step-by-step explanation:

Since the rectangle is 14 inches long and 4 inches wide, and the similar rectangle is 2 inches wide we can set up a proportion. We have[tex]\frac{14}{4} = \frac{x}{2}[/tex]. Now we can cross multiply. We get 28 = 4x, and x = 7.

Answer:

-15/41

Step-by-step explanation:

Answer:

-15/41

Step-by-step explanation:

We can use the slope formula since we have 2 points

m = (y2-y1)/(x2-x1)

    = (24 - -6)/(11 - 93)

   = (24+6)/ (-82)

   = 30/ -82

   -15/41

Answer:

C

Step-by-step explanation:

Noting that

+ (- ) is equivalent to subtraction

- (- ) is equivalent to addition

Given

13 + (- 12) - (- 5)

= 13 - 12 + 5

= 1 + 5

= 6 → C

Answer:

C) 6

Step-by-step explanation:

13 + (-12) - (-5) = 13 + (-12) + 5

                       = 1 +5

                      = 6

13 & (-12 ) have different sign, so subtract and put the sign of the greater number's sign.

Answer:

A. 36 degrees

Step-by-step explanation:

180 is for straight lines,

180-79-68

= 36 degrees

Answer:

[see below]

Step-by-step explanation:

There are no given options, but here's a basic definition of a cluster:

Clusters are points on a scatter plot that have very close value to one another, which results in the points being "grouped together". I have attached an example of a cluster.  

Hope this helps.

Answer:

some times the data points in a scatter plot form distinct group. these groups are called cluster

Answer:

Option C

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:1. Angle-Side-Angle (ASA) Postulate

2. corresponding parts of congruent triangles are congruent (CPCTC)

Step-by-step explanation:

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

Answer:

r=12

Step-by-step explanation:

Answer:

10 miles

Step-by-step explanation:

A & B is 100

A & C is 110

the difference is 10, Which should make B & C 10 miles

The distance from city B to city C will be 10 miles.

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let A, B, C, and D be the collinear points. Then the condition of the collinear will be

AB + BC = AC

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.

The distance from city B to city C will be given as,

AB + BC = AC

100 + BC = 110

BC = 110 - 100

BC = 10 miles

The distance from city B to city C will be 10 miles.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2

Answer: 2 goes to 3 3 goes to 2 1 goes to 4 and 4 goes to 1

Step-by-step explanation:

Step-by-step explanation:

i think like this one

hope it right

Answer:

y = 0.5x + 3

Step-by-step explanation:

First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;

[tex]( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5[/tex]

I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;

[tex]y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3[/tex]

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

Add 16 to both sides:

2x = -16 + 8x

Subtract 8x from both sides

-6x = -16

Divide by negative -6

x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

-16 + 2x = -32 + 8x

Subtract 2x from each side

-16 + 2x-2x = -32 + 8x-2x

-16 = -32 + 6x

Add 32 to each side

-16+32 = -32+32 +6x

16 = 6x

Divide by 6

16/6 = 6x/6

8/3 =x

Answer and Step-by-step explanation:

Well, the product would not change much. If we took the problem -3*7 it has one negative number and one positive number. Now, the rule is when there is two different signs, the answer becomes negative right away. So, your answer would be -21. If the integers were the same, the equation would be 3*7=21. Therefore, there is not much change in the product only the signs.  

Answer: 40 miles per hour

Step-by-step explanation:

first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)

then you devide 200 by 5 to get 40 miles per hour

Answer:

A, B, C, D, F

Step-by-step explanation:

A. An image created by a reflection will always be congruent to its pre-image.

Congruent means identical or similar. The orientation, size, and shape of the pre-image are not changed after a reflection- therefore, the pre-image and image are congruent.

B. An image and its pre-image are always the same distance from the line of reflection.

When a pre-image is flipped across the line of reflection, both figures are perfectly symmetrical. Nothing has changed aside from orientation and location on the graph. The number of units between the figures and the line of reflection should remain unchanged.

C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.

When you reflect a pre-image with a point that lies on the line of reflection, that point will stay on the line of the reflection as the rest of the figure is flipped.

I will explain these two answers together since they have similar explanations.

D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.

F. The line segments connecting corresponding vertices are all parallel to each other.

In a reflection, the horizontal or vertical (depending on the line of reflection, y-axis or x-axis) coordinates are altered. However, if one were to draw an imaginary line connecting the corresponding vertices, both the image and pre-image are parallel and perpendicular.

I hope this helped, good luck on your work/test!

Answer:

A. An image created by a reflection will always be congruent to its pre-mage.

B. An image and its pre-image are always the same distance from the line of reflection.

C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.

D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.

F. The line segments connecting corresponding vertices are all parallel to each other.

Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Answer:

9120

Step-by-step explanation:

Given ;

Total people =96

It means 48 are male and 48 are females

Handshake can be determined by = Handshake of male+ handshake of female

=48*95+48*95

=4560+4560

=9120

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!

Answer:

the answer is option A

[tex]\left[\begin{array}{ccc}56&56&-14\\-126&92&62\\-78&26&2\end{array}\right][/tex] I HAVE CHECKED THE VALUES THIS ANSWER IS CORRECT

Step-by-step explanation:

Answer:

B. [tex]y=-\frac{1}{3}x+5[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.

Answer:

10,000,000

Step-by-step explanation:

Answer:

Mean?

Step-by-step explanation:

Not enough context

Answer: √C.both the mean and the median

Step-by-step explanation:

So here is the full text of your question.

Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.

88%, 73%, 97%, 76%, 90%, 80%

Which measure of center would best represent Ari’s grade?

A. the mean

B.the median

√C.both the mean and the median

D.neither the mean nor the median

*I know this ? was awhile back, However I thought it may help someone else who may be looking for the answer :)

Answer:

y = −2x + 13

Step-by-step explanation:

equation of line slope intercept form is y = mx +c

where m is slope and c is y intercept

when two lines are parallel then their slope are equal.

_______________________________________

Given line

CD

y = −2x − 2

it is in form of y = mx +c

thus, m = -2

Given that other line parallel to CD  y = −2x − 2

Thus, its slope will be -2.

Let the equation of required line be

y = mx +c (as slope will be -2)

Then equation of line will be

y = -2x +c

Given that this line contains (4,5) it will satisfy the equation y = -2x+c

using x = 4 and y = 5

we have

y = -2x +c

5 = -2*4 + c

=> 5 = -8 + c

=> c = 5+8 = 13

Thus, equation of line parallel to  y = −2x − 2 and containing point(4,5) is

y = −2x + 13

Answer:

A. y = −2x + 13

Step-by-step explanation: