x^2+5y^2+2y=75; dx/dt =14 when x= 6 and y=-3; find dy/dt

Answers

Answer 1

Answer:

7

Step-by-step explanation:

x² + 5y² + 2y = 75

2x + 10y * dy/dx + 2 dy/dx = 0

2x + (10y + 2) dy/dx = 0

x + (5y + 1) dy/dx = 0

when x = 6, y = -3

6 + (-15 + 1) dy/dx = 0

6 - 12 dy/dx = 0

dy/dx = 1/2

dy/dt = dy/dx * dx/dt = 1/2 * 14 = 7


Related Questions

The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!..... ​

Answers

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

Can you help me please

Answers

Parallel lines have the same slope.

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

m = (-3-3)/(4-0)

m = -6/4 = -3/2

Substitute the values in y = mx + c,

-5 = (-3/2)(6) + c

-5 = -9 + c

c = 4

y = (-3/2)x + 4

Thus, Option D is the correct answer

Triangle K J I is reflected to form triangle J prime K prime I prime.
Which type of transformation is shown in the figure on the left?
translation
reflection
rotation
dilation

Answers

Reflection if you match the points
I thinks It’s reflection hope I helped

Write the decimal 0.075 as a fraction in simplest form.

Answers

Answer:

3/40

Step-by-step explanation:

Answer:

3/40

Step-by-step explanation:

Which of the following numbers is a factor of 55?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

6


(Choice B)

B

3


(Choice C)

C

5


(Choice D)

D

7

Answers

Answer:

Choice C: 5

Step-by-step explanation:

55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to

The diagram shows the graph of y=2x+c
Find the value of k

Answers

Answer:

can you add the photo

Step-by-step explanation:

Answer:

Value of K:

K=6.5

Step-by-step explanation:

Which one is it? I really need help.​

Answers

Answer:

-144ft below sea level

Step-by-step explanation:

It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,

y=14(9)-270

y=126-270

y=-144

Answer:

I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.

Step-by-step explanation:

This is how i got me answer:

z=9

14 x 9 = 126

-270 + 126 = -144

The product of 5 and x decrease by 7 is as much as 42.

Answers

5(x)-7 5(9.8)-7 49-7 42

Solve the inequality. Graph your solution.
-2m < 12

Answers

Answer:

M<-6 is the answer

Step-by-step explanation:

divide -2 on both sides and 12÷-2 is -6 so m<-6

PLEASE HELP, trying to do this escape room level and i have no clue what to do.

Answers

Answer:

6688

Step-by-step explanation:

I think, I hope!

The correct sequence for the numbers that are given will be:

64084608084608468064

How to depict the numbers?

It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.

Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.

Learn more about sequence on:

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Help view the picture find the value of p

Answers

Answer:

the answer of the problem p=32

think you could help i don't understand

Answers

Answer: it is the alphabet

U need to do the Distribution

You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 5% of sales per month. The second site features a triple net lease with these monthly terms: rent is 4% of sales, insurance is $200, maintenance is $55, utilities total $300, and property tax is $200. Your business plan estimates your monthly sales to average $97,000. Which lease is better for you financially?

Answers

Answer:

The Second Site

Step-by-step explanation:

a) The card states that it makes 60 cookies. How much flour is required for 30 people?
b) The card states that it makes 60 cookies. How much salt is required for 30 people?​

Answers

Answer:

assuming each person gets one cookie

a 1 1/4 C

b 3/8 tsp

Step-by-step explanation:

divide recipe in half

a 2.5/2=1.25

b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375

laun
/2528021/aHROCHM6Ly9mMS5hcHAUZWRIZW50dW0uY29tL2xlYXJUZXI
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New Tab
G Images
Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit

Answers

Answer: 16.67% for question 1

83.33% for question 2

Step-by-step explanation:

1/6 as a percent is 16.67% because the is only 1 correct number

5/6 as a percent is 83.33% because there is 5 wrong numbers

Answer:

Step-by-step explanation: 1/36

From my sis: Which list of fractions is in order from smallest to largest?
A: 1/6, 1/3, 1/2
B: 1/2, 1/3, 1/6
C: 1/6, 1/2, 1/3
D: 1/2, 1/6, 1/3
I'll give branliest bc why not:)

Answers

Answer:

B

Step-by-step explanation:

2(x+9)-4=68 pls help me 60 points!!!!

Answers

Answer:

x=27

Step-by-step explanation:

2x+18-4=68

2x+18=72

2x=54

x=27

I hope this helps even the slightest!

Please mark brainliest!

Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team

Answers

the ratio is - 6:12
(6 boys, 12 girls)

Answer:

There are 6 boys and 12 girls on a soccer team.

This ratio correctly describes the relationship between boys and girls on the soccer team:  

✔ For every 6 boys, there are 12 girls.

Step-by-step explanation:

Plz mark me as Brainlist

4a + 3a
Will give brainliest!!!

Answers

Answer:

7a

Step-by-step explanation:

4a + 3a

(4 + 3)a

(7) a

Answer = 7a

Answer:

4a+3a is equivalent to 7a

Step-by-step explanation:

when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.

which repersents the slope of a line that is parallel to a line with the slope of -2

Answers

Answer:

-2

Step-by-step explanation:

slope is -2 because parallel lines have equal slopes.

Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP

Answers

Answer:  2/3

============================================

Work Shown:

[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]

When dividing fractions, you flip the second fraction and multiply (step 2).

Note in the last step, the 7's cancel out.

Answer:

2÷3

Step-by-step explanation:

=2÷7×3÷7

= 7 of the denominator will be cancelled

=hence, 2÷3 is the answer

Which means "p decreased by 75"?

Answers

the answer is 75 - p

The table represents the function f(x)=3x-1.

Answers

Answer: y = 3x-1

Step-by-step explanation:

How many 5 digit numbers can be created using 0-9

Answers

Answer:

100000

Step-by-step explanation:

10^5

105 ways 5 digits can be made

Ella completed the following work to test the equivalence of two expressions.



What conclusion can you draw from Ella’s work?

Answers

Answer:D

Step-by-step explanation:

I need help please thankyou ​

Answers

Answer:

12 candy pieces per package.

Step-by-step explanation:

Rate of change is the change in y over the change in x. The change in y based on the plotted points is 12, and the change in x is just 1. So, 12/1=12.

You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound

Answers

Answer:

$8/pound

Step-by-step explanation:

$40 ÷ 5 lbs = 8$ per pound

$8 pounds

Step by step explanation =
40 divided by 5 = 8

A store sells a package of 25 trading cards for​ $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than​ $1. What is the unit price per​ card? PLEASE HELP ME ILL GIVE YOU BRAINLIEST

Answers

Answer:

5.25/25=0.21

Step-by-step explanation:

to find this you can do 0.21 times 25 which gets 5.25 so there is your answer

5.25/25=0.21 is the unit price per​ card.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

A store sells a package of 25 trading cards for​ $5.25.

So, price of per card = 5.25/25

                                  =0.21

(to find this you can do 0.21 times 25 which gets 5.25 )

Hence, 0.21 is the unit price per​ card.

To learn more on division click:

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A dog eats .5 of a pound of food every 50 minutes, at this rate how many pound will the dog have eaten after 200 minutes

Answers

The dog eats 2 pounds of food in 200 minutes. I got this: Since the dog eats .5 every 50 minutes, and you need to find how much he eats in 200, you have to do 200 divided by 50 first. The answer to that would be 4, so you would multiply 4 by the amount of food he eats in 50 minutes (.5), and get the answer of 2. Please correct me if I am wrong :)

The number of rate eaten by dog after 200 minutes: 2 pounds

What is ratio & proportion ?

A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.

Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.

We can use proportion to solve this problem:

If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.

Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.

So the dog will have eaten 2 pounds of food after 200 minutes.

To know more about proportion check:

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A wire is bent to form semi circles as shown below. How long is the wire? Use 3.14 for pi and round your answer to the nearest hundredth if necessary
4 semi circles and the diameter is 41

Answers

Answer:  257.48 cm

======================================================

Explanation

Those 4 semicircles can be joined to form 4/2 = 2 full circles.

Each circle has diameter 41 cm.

Let's find the circumference of one circle

C = circumference, d = diameter = 41, pi = 3.14

C = pi*d

C = 3.14*41

C = 128.74

That's the perimeter of one full circle. Double it to get

2*128.74 = 257.48 cm

Which is the total length of the wire.

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