A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time

Answers

Answer 1

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

A Passenger Ship And An Oil Tanker Left Port Sometime In The Morning; The Former Headed North, And The

Related Questions

What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)

Answers

The y-intercept of a line equation is when x=0.

Therefore y=1+(6•0)

y=1

Therefore coordinates are (0,1) which is choice A

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?

Answers

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

A grocer wants to make a 10-pound mixture of berries and chocolate that he can sell for $3.48 per pound. If chocolate cost $5.40 per pound and berries cost $2.20 per pound, how many pounds of berries must he include in the mix?

Answers

Answer:

9

Step-by-step explanation:

Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.

I need help with this honestly

Answers

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

further explanation on answers

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

plz help!! tell me which ones you solve

Answers

Answer:

Step-by-step explanation:

17)-8(5-n)=-96

 -8*(5-n)-(-96)=0

 (0 -  8 • (5 - n)) -  -96  = 0

 8n + 56  =   8 • (n + 7)

 8 • (n + 7)  = 0

Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    n+7 = 0  

Subtract  7  from both sides of the equation :  

                     n = -7

n = -7 is your answer

Please help me simplify this equation

Answers

Answer:

A. x

Step-by-step explanation:

1. Simplify parentheses

[tex]\frac{13*(x-3)+39}{13}[/tex]

2. Divide by 13

[tex](x-3)+3[/tex]

3. Basic math ([tex]x-3+3[/tex])

[tex]x[/tex]

The following expression models the total number of pizzas sold in an hour, where x represents the number of discount coupons
offered. 41x/5x+2+12
What does the constant term in the above function represents?

Answers

Answer:

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

Step-by-step explanation:

Below is the complete question

What does the constant term in the above function represents?

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

B. The constant term 12 represents the maximum number of pizzas sold in an hour.

C. The constant term 12 represents the amount of additional pizzas sold for each additional discount coupon offered.

D. The constant term 12 represents the number of discount coupons offered in an hour.

13.555 to 1 decimal place

Answers

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

study the diagram of circle K where JL and LM are tangent to circle K at points J and M respectively. Also JL=3x+10 and ML =7x-6

Answers

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6         +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

The tip jar at a sandwich shop has been found to have a dollar value 0.65h + 1.25, where h is the number of
hours since the shop opened.
a. By how much is the value of the tip jar increasing per hour?

Answers

Answer:

H is showing how the amount of the tip jar is increasing over time

Step-by-step explanation:

Write the quadratic function in f(x)= a(x-h)^2+k form whose graph is shown.

f(x)=

Answers

Answer:

f(x) = - (x - 2)² + 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 2 ), thus

y = a(x - 2)² + 2

To find a substitute the point (0, - 2) into the equation

- 2 = a(- 2)² + 2 ( subtract 2 from both sides )

- 4 = 4a ( divide both sides by 4 )

a = - 1

Thus

f(x) = - (x - 2)² + 2

Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a line, and a pentagon. What is the probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice? Enter your answer as a fraction in simplest form.

Answers

Answer:

                [tex]\dfrac{1}{30}[/tex]

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]

If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer.

Answers

Answer:

40.002

Step-by-step explanation:

[tex]2^{5.322}[/tex] is 2 to the power of 5.322. Only way to find the exact decimal is to calculate in a calculator. When we do so we should get 40.002 as our answer.

The question says:

'If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer. '

So we have to use the fact that 2^2.322 = 5, in order to work out what 2^5.322 equals

_______________________________________________

Remember the following indices rule:

a^m times a^n = a^(m+n)

So first we have to use the indice rule to split apart 2^2.322:

[tex]2^{2.322}=2^{2+0.322}=2^2\times2^{0.322}=4\times2^{0.322}[/tex]

Now we can substitute this into the original equation, and work out the approximate value for [tex]2^{0.322}[/tex]:

[tex]2^{2.322} = 5[/tex]

[tex]4\times2^{0.322}=5[/tex]

[tex]2^{0.322}=\frac{5}{4} =1.25[/tex]

Now lets use the indices rule again to split apart 2^5.322:

[tex]2^{5.322} = 2^{5+0.322}=2^5\times2^{0.322}= 32\times2^{0.322}[/tex]

From the previous equation, we worked out that [tex]2^{0.322} = 1.25[/tex]

Therefore:

[tex]2^{5.322} = 32 \times 1.25 = 40[/tex]

____________________

Answer:

40

There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?

Answers

Answer:

number 1

Step-by-step explanation:

Assume m<22=35. Find the measure of all of the other angles in the figure given line L and line P are parallel.

PLEASE HELP!!! ASAP!!!

(Picture included)

Answers

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

29. one of the following has always two points of parallel sides
A. Quadrilateral
B. Triangle
C. Rhombus
D. Pentagon​

Answers

Answer:

c

Step-by-step explanation:

only rhombus satisfied the question

Answer:

C, Rhombus.

Step-by-step explanation:

A rhombus has 2 pairs of parallel sides. Also a rhombus has 4 congruent sides.

Estimate the circumference of a circle that has a diameter of 13 yards.
______yd

Answers

Answer:

The answer is 40.8 yd

Step-by-step explanation:

Circumference of a circle is πd

where d is diameter

diameter is 13 yards

Circumference of the circle is

π × 13 yd

= 13π

= 40.8yd to one decimal place

given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate

Answers

Step-by-step explanation:

a) $410 × £0.72 = £295.20

4. 5. 6. None of the choices are correct.

Answers

Answer:

A. 4

Step-by-step explanation:

Triangle ABD = Triangle BCD

Both hypotenuse are equal in length.

x + 2 = 3x - 6

x - 3x = -6-2

-2x = -8

x = 4

Hi !!

Find the value of x :

We have :

• x + 2

• 3x - 6

Match the values to find x :

x + 2 = 3x - 6

x - 3x = -6 - 2

-2x = -8

x = 8/2

x = 4

* 4 + 2 = 3(4) - 6

6 = 12 - 6

6 = 6

Equality is checked, it is an isosceles triangle

Both the correct value is 4.

Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?

Answers

Answer:

"To search whether carbonate mineral content in another material" is the right answer.

Step-by-step explanation:

We want it just because it lets them better examine the calcareous. Once before in interaction against carbonate minerals, any drop of hydrogen peroxide can splash. Those who add this one to the fluid or acidic solution to see how resources respond that makes them know through substances where certain rocks can indeed be contained. Commonly aspects like calcite assistance and guidance.

So that the above is the right answer.

Which expression has the same value as Negative 18 divided by (negative 9)? Negative 18 divided by 2 Negative 12 divided by (negative 3) Negative 10 divided by 5 Negative 8 divided by (negative 4) (for brainliest)

Answers

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

what is 76 over 9 divided by 14 over 3?

Answers

Answer:

38/21 or 1.80952381

Step-by-step explanation:

Answer:

(76/3) / 14 OR AROUND 9/5

Step-by-step explanation:

So I'm assuming this equation is (76/9) / (14/3)

We can solve this in a simple way instead of a hard way -->

9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)

76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5

Hope this helps!

Consider this function. f(x) = x + 4 Which graph represents the inverse of function f?

A.) W
B.) X
C.) Y
D.) Z

Answers

Answer:

C

Step-by-step explanation:

just took the unit test

Graph Y represents the inverse of function f.

What is the inverse of a function?

In mathematics, the inverse function of a feature f is a function that undoes the operation of f.

How do you find an inverse of a function?

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.

Learn more about the inverse of a function here brainly.com/question/24992590

#SPJ2

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54

Answers

6% of $14.00=$0.84 so the total cost of shorts=$14.84

6% of $25.00=$1.50 so the total cost for soccer ball=$26.50

6% of $10.00=$0.60 so the total cost of shin guards=$10.60

$60.00+$104.94+$109.94+$115.54+$120.54=$510.96

36% of $510.96=$183.95 so the total cost of cleats=$694.91

694.91+$10.60+$26.50+$14.84=$746.85

$746.85+$5=$751.85

Answer:

its option d $120.54

Step-by-step explanation:

ALSOOOO a braddison shipper :)

Put the following numbers in ascending order.
A.540 g
B.180,000 mg
C.0.8 tonnes
D.2.3 kg

Answers

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?

30
60
80
50​

Answers

Answer:

50

Step-by-step explanation:

d-nr of ducks

g- nr of goats

2*d+4*g=260

d+g=80            /*(-2)

2d+4g=260

-2d-2g=-160

------------------

      2g=100

      g=100/2

     g=50

Answer:

50

Option D is the correct option

Solution,

Let no.of ducks be X

Let no.of goats be y.

Total heads= X+y=80 ➡️ equation (i)

Total legs= 2x+4y=260➡️ equation (ii)

X= 80-y

[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]

Number of goats= 50

Hope this helps...

Good luck on your assignment...

PLS HELP ME ANSWER, i Need it quick

Answers

Answer:

69

Step-by-step explanation:

The median is the middle number.  Using the box and whisker box, the median is the middle line in the box.    The line is at 69 for  Genevieve

Need help with this XY chart for coordinate points

Answers

Answer:

Y= -9, -4, 1, and 11

Step-by-step explanation:

You substitute in the numbers on the left (under x) into the equation to find y.

Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction

Answers

Answer:

Option D.

Step-by-step explanation:

The given expression is

[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex]     [tex][\because (ab)^m=a^mb^m][/tex]

[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]

[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex]    [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]

[tex]\dfrac{25a^9b^{10}}{6}[/tex]

Therefore, the correct option is D.

Answer:

The correct option is D

Step-by-step explanation:

Find the gradient of the line l1 which has equation 4x-3y+5=0 .

Answers

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

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