Two highways meet at right angles in a town. Both highways are exactly straight

lines. Two cars leave the intersection at exactly the same time. One car starts traveling East

at 40mph and is decelerating at a rate of 1mph per hour. The other car starts traveling North

at 30mph and is accelerating at a rate of 0.5mph. At what rate is the distance between them

increasing 4 hours after they leave the intersection?

Answers

Answer 1

Answer:

Step-by-step explanation:

Using the relation :

S = ut + 1/2at²

S = distance

Car A :

Initial speed, u = 40 mph

a = negative acceleration = - 1 mph

At time, t = 4

S = 40(4) - 0.5(1)(4²)

S = 160 - 8

S = 152 miles

Car B :

Initial speed, u = 30 mph

a = acceleration = 0.5 mph

S = 30(4) - 0.5(1)(4²)

S = 120 - 8

S = 118 m

Change in distance / time

Rate of change = (152 - 118)m / 4 hours

Rate of change = 34 mi / 4 hr

Rate of change = 8.5 miles per hour


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How many coins are in each pouch?

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Each bag has 7
The 2 bags have 14 together and 14 divided by 2 =7 Hope this gives you a head start!

LINKS = reported ,, anyways I’ll give brainliest if ur right
Find the volume of this sphere.
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Answer:

1436.02

Step-by-step explanation:

A, B and C lie on a straight line.
Given that angle y = 135° and angle z = 97°, work out x.​

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Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).

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Yessss this I’m waffling because I need to answer quiestionnsss

Answer:

2/9

Step-by-step explanation:

What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below

Answers

Speed =wavelength x frequency
= 2x1.5 = 3m/s

In ΔQRS, q = 960 cm, r = 420 cm and ∠S=31°. Find the area of ΔQRS, to the nearest square centimeter.

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Answer: 103832

Step-by-step explanation:

What is 5⁶ written in expanded form? o 5+5+5+5+5+5 5.5.5.5.5.5 ​

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5x5x5x5x5x5

Step-by-step explanation:

hey peeps i'll give you a brainliest & 25 pts for these answers plss help a dum b b out <333

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you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x

ABCD is an isosceles trapezoid.
measure of angle b=
measure of angle d=
measure of angle c=

Answers

Answer:

∡b = 53°

∡d = 127°

∡c = 127°

Step-by-step explanation:

in trapezoids, the two top angles are equal and the two bottom are equal

also, there are 360 degrees in any 4-sided polygon

53 + 53 + x + x = 360

2x + 106 = 360

2x = 254

x = 127

Answer:

127

Step-by-step explanation:

60 POINTS! RIGHT ANSWERS ONLY PLEASE

Which of the following is a binomial experiment?

Rolling a six-sided number cube and recording the number until a 5 comes up

Rolling a six-sided number cube and recording the number until an odd number comes up

Rolling a six-sided number cube 24 times and recording the number that comes up

Rolling a six-sided number cube 24 times and recording if a 5 comes up

Answers

Answer: Rolling a six-sided number cube 24 times and recording if a 5 comes up

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Find the measure of angle b

please help:)

Answers

See photo. Hope it helps

Can somebody please help me out:))

Answers

Answer:

50ft

Step-by-step explanation:

Hi,

Considering that one side is equal to 38 degrees, we know this isn't a 30 - 60 - 90 triangle.

One of the legs is equal to 40 feet

So, tan(b) = 40/x

tan(38 degrees) is 0.78 round up to 0.8 (if that's what your teacher wants)

0.8 = 40/x

0.8x = 40

x = 50ft

I hope this helps

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Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

A parabola has a vertex at (-6, 2) and opens down. Which of the following represents the
equation of the axis of symmetry for this parabola?

Answers

Answer:

I don't see any choices but I think the axis of symmetry is x=-6.

Step-by-step explanation:

Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.

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The polygons name is an octagon and is not a regular polygon

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Answer:

1) markdown

2) percent error

3) principle

4) percent change

Step-by-step explanation:

markdown

percent error

principle

percent change

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Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?

Answers

Answer:

$[tex]3.83[/tex]

Step-by-step explanation:

[tex]23[/tex] divided by [tex]6=3.83333333333.....[/tex]

We round to nearest cent. [tex]3.83[/tex]

What is the total surface area of this square pyramid?
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384 cm2
72 cm2
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Answers

Answer: 384 cm²

Step-by-step explanation:

Took test

Answer:

Answer: 384 cm²

Step-by-step explanation:

The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.​

Answers

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

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[tex]y=5-\frac{3}{2}x[/tex]

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[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

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[tex]b=12[/tex]

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(50 POINTS) Math Inverse Functions please help

Answers

Answer:

See below.

Step-by-step explanation:

a. See pic below.

b. Yes because it passes the vertical line test. Any vertical line moving horizontally across the graph intersects only one point on the graph at a time.

c.

Domain: all real numbers

Range: all real numbers greater than or equal to 4

d.

Domain: all real numbers greater than or equal to 4

Range: all real numbers

e.

See pic below.

f. No because it does not pass the vertical line test.

Can someone please help me with math.

Answers

The answer is B, Graph B is the linear graph

HELPPP ASAP 10 POINTS

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Answer:

4 Acute

Step-by-step explanation:

uwg2vrus7wgwceuwvw.

Find the value of x

Answers

Answer:

[tex]\frac{9\sqrt{2} }{2}[/tex]

Step-by-step explanation:

This particular case is a sine operation.

sin(45°) = [tex]\frac{x}{9}[/tex]

9sin(45°) = x

Plug into a calculator and you get:

x = [tex]\frac{9\sqrt{2} }{2}[/tex]

A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that​ men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts​ (a) through​ (c) below.

Answers

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

Which set of side lengths create a right triangle ?

Answers

Answer:

9,12,15 i think

Step-by-step explanation:

What relationship CANNOT be used to prove that AABC is congruent to ADEF?


Help please!!!

Answers

Answer:

D) Angle angle angle

If you know angles of all the three sides (Angle-Angle-Angle), that STILL wouldn’t help because no triangle can be drawn only knowing angles, no matter how many angles you know!

SOLVE FOR THE BASE

1. 10% of ________-8
2.28 is 4% of _________
3.25% of ________
4.13% of______
5.15 is 12.5% of _____​

Answers

Answer:

1-    10% of -80 is -8.  

2-    28 is 4% of 700.

3-   25% of a number is equal to 1/4 or 0.25 of it.

4-    13% of a number is equal to 0.13 of it.

5-    15 is 12.5% of 120.

Step-by-step explanation:

1. 10% of ________- 8

2.28 is 4% of _________

3.25% of ________

4.13% of______

5.15 is 12.5% of _____

To determine the missing numbers in the statements, the following calculations must be performed:

1-

10 = -8

100 = X

100 x -8 / 10 = X

-800 / 10 = X

-80 = X

Therefore, 10% of -80 is -8.

two-

4 = 28

100 = X

100 x 28/4 = X

2800/4 = X

700 = X

Therefore, 28 is 4% of 700.

 

3-

25% of a number is equal to 1/4 or 0.25 of it.

4-

13% of a number is equal to 0.13 of it.

5-

12.5 = 15

100 = X

100 x 15 / 12.5 = X

1500 / 12.5 = X

120 = X

Therefore, 15 is 12.5% of 120.

Billy got 4 hits in his last 20 at-bats. Based upon this information, how many hits would you expect Billy to get during his next 50 at-bats?

Answers

Answer:

10

Step-by-step explanation:

4 hits                     x hits

_______ =     _________

20 at-bats        50 at -bats

Don drives his car 25 km east and then 312 km south. How far is he from his starting point? Round to the nearest tenth.

Answers

243000pppppppppppppppp

y is directly proportional to the square root of x
x
If
y
=
60
when
x
=
36
find,
x
when
y
=
80

Answers

Answer:

Step-by-step explanation:

y=k[tex]\sqrt{x}[/tex]

60=k[tex]\sqrt{36\\}[/tex]  =k6

k=60/6 =10

This is your equation

y=10[tex]\sqrt{x}[/tex]

Put the numbers in

80=10[tex]\sqrt{x}[/tex]

80/10=8 then you have to square this so

[tex]8^{2}[/tex]=64

x=64

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