Answer:
The first one: This answer has no solution because it can be rewritten as 0=0

A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSURΔDEF ≅ ΔSRUΔDEF ≅ ΔRSUΔDEF ≅ ΔRUS

Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized. 1. Which of the following differential equations could be used to model this situation, where k is a positive constant?A. dL/dt = kLB. dL/dt = 100 - kLC. dL/dt = k(100 - L)D. dL/dt = kL - 100

Someone please help me! Ill give the brainlest if its correct! A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSURΔDEF ≅ ΔSRUΔDEF ≅ ΔRSUΔDEF ≅ ΔRUS

Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized. 1. Which of the following differential equations could be used to model this situation, where k is a positive constant?A. dL/dt = kLB. dL/dt = 100 - kLC. dL/dt = k(100 - L)D. dL/dt = kL - 100

Someone please help me! Ill give the brainlest if its correct! A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?

It’s b trust me bro

**Answer:**

A

**Step-by-step explanation:**

Answer: A.) The warmer the air temperature, the greater the humidity.

Step-by-step explanation: This is simply what the graph is conveying. As you can see, the line goes up with water vapor and temperature signifying that when the temperature goes up so does the humidity.

**Answer:**

**17/100**

**Step-by-step explanation:**

**Step 1:**

**0.17 = 17/100**

**Answer:**

**17/100**

**Hope This Helps :)**

**Answer:**

Pretty sure its B

**Step-by-step explanation:**

Answer:

-937.5π

Step-by-step explanation:

F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)

Thus, flux ∫∫s F · dS is given as;

∫∫ <x, y, z> · <-z_x, -z_y, 1> dA

=∫∫ <x, y, 3x² + 3y²> · <-6x, -6y, 1>dA , since z = 3x² + 3y²

Thus, flux is;

= ∫∫ -3(x² + y²) dA.

Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:

∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)

= 2π ∫(r = 0 to 5) -3r³ dr

= -(6/4)πr^4 {for r = 0 to 5}

= -(6/4)5⁴π - (6/4)0⁴π

= -937.5π

To set up a **double****integral **for calculating the flux of the vector field through the given surface, parameterize the surface using the equation provided and the given condition. Calculate the cross product of the partial derivatives of x and y to find the normal vector. Finally, set up the double integral for the flux using the vector field and the normal vector.

To set up a double integral for calculating the flux of the vector field through the given surface, we first need to **parameterize** the surface. Given the equation of the surface **z = 3(x^2 + y^2)** and the condition **x^2 + y^2 ≤ 25**, we can parameterize the surface as follows:

**x = rcosθ, y = rsinθ, z = 3r^2**

We can now calculate the cross product of the **partial****derivatives** of x and y to find the normal vector, which is: **n = (3rcosθ, 3rsinθ, 1)**

Finally, the double integral for calculating the flux through the surface is:

**∬ F · n dA = ∬ (x, y, z) · (3rcosθ, 3rsinθ, 1) dA**

#SPJ12

**Answer: n=-5**

**Step-by-step explanation:**

**Answer:**

N=-5

**Step-by-step explanation:**

N - 4 = 3n + 6

Add 4 to both sides

n-4+4=3n+6+4

Simplify

n=3n+10

subtract 3n from both sides

n-3n=3n+10-3n

Simplify

-2n=10

Divide -2 from both sides

-2n/-2=10/-2

Simplify

n=-5