Answer:
Step-by-step explanation:
GIVEN: dx / dt=5 in./min. and dy/ dt=−6 in./min.
FIND: dz/ dt when x=12 in. and y=9 in.
Use the Pythagorean Theorem to get the equation
x2+y2=z2
Now differentiate this equation with repect to time t getting
D{x2+y2}=D{z2} ⟶
2xdxdt+2ydydt=2zdzdt ⟶
(Multiply both sides of the equation by 1/2.)
x dx/ dt+y dy/ dt= z dz/ dt (DE)
Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.
tex2html_wrap_inline125
122+92=z2 ⟶ z2=225 ⟶ z=15
Plug in all given rates and values to the equation (DE) getting
(12)(5)+(9)(−6)=(15)dz/ dt ⟶
6=15dzdt ⟶
dz/ dt=615=25 in/min.
Hope this answer helps you :)
Have a great day
Mark brainliest
Help pls ………………………………
Answer:
12
Step-by-step explanation:
5 less than 4 times another. product is 6. find the integers
y= 4x-5
x.y = 6
x = 6/y
substitute value
y= 24/y-5
y²+5y-24=0
y²+8y-3y-24=0
y(y+8) -3(y+8) = 0
y=3 or y = -8
consider y = 3,
3 = 4x-5
x= 2!
now y = -8
-8= 4x-5
x= -3/4
The answer is 2 and 3 Or -8 and -3/4
2 is not 5 less 4 times other so the solution is -8 and -3/4
Can someone please help me with this fast?
Answer:
If C and D are supplementary angles then C is 65 and D is 115.
Answer:
65
Step-by-step explanation:
first, find x
180=12x-7+16x+19
180=12x+16x-7+19
180+7-19=28x
168=28x
168/28=x
6=x
Now plug in 6 for x
C=12x-7
C=12*6-7
C=72-7
C=65
SOMEONE HELP IM STUCK LOL
9514 1404 393
Answer:
C. ΔABE≅ΔDBC by SAS
Step-by-step explanation:
Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)
Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.
The only correct claim is that of C: ΔABE≅ΔDBC by SAS
In What quadrant is the point (-5, -5) located
Answer:
Since both values are negative, it can be found in the 3rd quadrant
Feel free to mark this as brainliest :D
Can any one psay what is monmon meaning I think it's and alien
Answer:
Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail
What is the median of the following numbers: 15, 51, 35, 25, 58, 33, 64, 43, 29, 14, 13, 11, 4, 10?
Answer:
(25+29)/2 = 27
Step-by-step explanation:
Answer:25+29=54
54/2=27
Step-by-step explanation:
4, 10, 11, 13, 14, 15, 25, 29, 33, 35, 43, 51, 58, 64
25+29=54
54/2=27
Answer: 27
Please solve thank you
Answer:
you multiply
Step-by-step explanation: itss easy just multiply it
can someone help 10 points
Answer:
The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.
Suppose that 11 inches of wire costs 44cents.
At the same rate, how many inches of wire can be bought for 24 cents?
we can bought 6 inches of wire which costs 24 cents
What is the approximate volume of the composite figure 3cm radius with 14cm height? Use 22/7 for π. Round to the nearest hundredth.
Answer:
188.57 cm^3
Step-by-step explanation:
I know i'm big brain
Please answer this question for me!!!!!!
What is the y-intercept of y = -3 - 7x?
Answer:
make x=0 then y=-3-7(0)= (0 -3)
Answer:
y=-3
Step-by-step explanation:
see steps below:)
Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
¿Cuál de los siguientes puntos está en el círculo con centro en (0,0) y incluye el punto (-1.-3)?
A. (0, 10)
B. (10, 10)
C (V10,0)
D(V10,10
Answer:(0,10)
Step-by-step explanation:
The points On circle with a center at (0, 0) that includes the point (-1, -3) would be (0, 10).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
We have given On circle with a center at (0, 0) that includes the point (-1, -3).
So the equation form
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
[tex](x-0)^2 + (y-0)^2 = r^2\\\\x^{2} +y^{2} =r^{2} \\\\(-1)^{2} +(-3)^{2} =r^{2} \\\\r^{2} = 10[/tex]
So, the other point that satisfies the equation would be (0, 10).
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ2
A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is chosen from the bag at random. What is the
probability that it is red?
Write your answer as a fraction or a whole number.
Answer:The answer is 1/2 or you can do 3/6 if it doesnt need to be simplified
Step-by-step explanation:
Probability is the chance of an event to occur from a number of possible outcomes.
The probability that a marble chosen at random is red is 1/2.
What is probability?It is the chance of an event to occur from a number of possible outcomes.
It is given by:
Probability = Number of required events / Total number of outcomes
We have,
Total number of marbles in the bag = 6
Number of red marbles = 3
Number of yellow marbles = 1
The number of blue marbles = 2
The probability that a marble chooses is red:
= Number of red marbles / total number of marbles
= 3 / 6
= 1 / 2
Thus,
The probability that a marble chosen at random is red is 1/2.
Learn more about probability here:
https://brainly.com/question/22683107
#SPJ2
can someone help me find the value of w please :)
Answer:
w=18.27
Step-by-step explanation:
Using Trig you have opposite and hypotenuse so use SIN
Sin(66)=w/20
20Sin(66)=w
w=18.27
A cylindrical shoe polish tin is 10cm in diameter and 3.5cm deep
calculate the capacity of the tin in cm^3
Answer: 274.75
Step-by-step explanation:
To find the volume of a cylinder you find the area of the base and then multiply it by the height. The base is the radius (half the diameter) squared times pi which we will use 3.14. That gets us 78.5. Then we multiply by the height to get 274.75!
Hope this helps!
The capacity/volume of the cylinder is approximately: 274.89 cm³
What is the Capacity of a Cylinder?capacity of a cylinder = volume of cylinder = πr²h.
Given the following:
Radius (r) = 10/2 = 5 cmHeight (h) = 3.5 cmCapacity/Volume of the cylinder = π(5²)(3.5)
Capacity/Volume of the cylinder ≈ 274.89 cm³
Learn more about the capacity of a cylinder on:
https://brainly.com/question/9554871
#SPJ9
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, the average number of computers in a home could be approximated by
q = 0.3456 ln x − 3.045 10,000 ≤ x ≤ 125,000
where x is mean household income. A certain community had a mean income of $15,000, increasing at a rate of $1,500 per year.
1. How many computers per household were there?
2. How fast was the number of computers in a home increasing?
Answer:
dvffdd
Step-by-step explanation:
Solve the expression: x = 5, y = 8. x² - 3y =
Answer:
x^2-3y
5^2-3*8
25-24
1
Step-by-step explanation:
50 points to the first answer, will be checking the answers
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
In which of the following situations should the t distribution be used? a. When the sample standard deviation is used to estimate the population standard deviation b. Only when the population mean is 0 c. When the sample size is less than 30 d. When the population is not normally distributed
Answer:
a. When the sample standard deviation is used to estimate the population standard deviation
Step-by-step explanation:
T or Z distribution:
If we have the standard deviation for the sample, we use the t-distribution.
If we have the standard deviation for the population, we use the z-distribution.
Thus, the correct answer for this question is given by option a.
Solve for the value of X. Round to the nearest whole number.
Answer:
x = 30º
Step-by-step explanation:
This answer requires trigonometry, specifically, the cosine function. This is because we are given the length of the side adjacent to x and the length of the hypotenuse.
If you recall:
[tex]cos(x )= \frac{adjacent}{hypotenuse}[/tex]
Therefore,
[tex]cos(x) = \frac{13}{35}[/tex]
Now, we must use the inverse cosine function on a calculator to figure out the value of x.
[tex]cos^{-1}(\frac{13}{15}) = 29.93[/tex]
Now, we must round it to the nearest whole number, so x = 30º.
i need the answer to
7(p + 1) = 2(3p + 1)
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute on both sides.
7p + 7 = 6p + 2
Subtract 6p from both sides.
p + 7 = 2
Subtract 7 from both sides.
p = -5
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute
7p +7 = 6p +2
Subtract 6p from each side
7p +7 -6p = 6p+2-6p
p+7 = 2
Subtract 7 from each side p+7-7 =2-7
p=-5
Bob earns $60,000 a year at an accounting firm. Each year, he receives a raise. Bob has determined that the probability that he receives a 10% raise is 0.7, the probability that he earns a 3% raise is 0.2, and the probability that he earns a 2% raise is 0.1.A competing company has offered Bob a similar position for $65,000 a year. Bob wonders if he should take the new job or take his chances with his current jo
Answer:
He should keep his job.
Step-by-step explanation:
We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.
There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.
Hope this helps!
What is the equation of the line that passes through the points given in the table
Answer:
B: y = -2x + 5
Step-by-step explanation:
-2 - 1 = -3
9 - 3 = 6
[tex]\frac{6}{-3}[/tex] = -2
gradient = -2
3 = 1 x -2 + c
3 = -2 + c
5 = c
y intercept = 5
equation = y = -2x + 5
so the answer is option b
Relationship in Figures
Determine the unknown side length of the golden rectangle with the given side length.
s = _____ t = 9
a. 5.56
b. 4.85
c. 4.94
d. 5.26
Please select the best answer from choices provided
Answer:
A. 5.56
Step-by-step explanation:
I calculated logically
Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum. This happened 4 days in a row. Which expression represents the number of points Frank lost.
Answer:
(5+3+2) x4
Step-by-step explanation:
The answer would be 40
Here's why:
1. (5+3+2)= 10
2. 10x4
3. 40
The expression represents the number of points Frank lost would be (5+3+2) x 4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Frank lost 5 points for not completing his homework, 3 points for talking, and 2 points for chewing gum.
This happened 4 days in a row.
The expression represents the number of points Frank lost.
(5+3+2) x 4
Here,
(5+3+2)= 10
= 10x4
= 40
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
What is the relation between confidence level (c) and significance level (a)?
Answer:
The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.
Answer:
The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.
Step-by-step explanation:
Anna has 85 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Help Pls:)
Answer:
17 Dimes 68 Pennies
Step-by-step explanation:
If I'm right could I get brainiest I need it for my rank
John runs a computer software store. Yesterday he counted 135 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
Answer:
my name is Thor the answer is false mark me in arsenal