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3 years ago

Solve (y/4) +3 = 7 A: y = 40 B: y = 1 C: y = 25 D: y = 16

Mathematics

2 answers:

Alex3 years ago

5 0

Answer:

Step-by-step explanation

y/4 + 12/4 = 28/4

y+12=28

y=16

aksik [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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The surface of a hill is modeled by z = 100 − 4 x 2 − 2 y 2 . When a group of hikers reach the point (-3,-2,56) it begins to sno

m_a_m_a [10]

Answer:

(-24, -8)

Step-by-step explanation:

Let us recall that when we have a function f

$\large f:\mathbb{R}^2\rightarrow \mathbb{R}\\f(x,y)=z$

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

$\large \nabla f=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})$

at the point (x,y) gives the direction of maximum rate of increasing

$\large -\nabla f$

at the point (x,y) gives the direction of maximum rate of decreasing

In this case we have

$\large f(x,y)=100-4x^2-2y^2$

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

$\large \nabla f(x,y)=(-8x,-4y) \Rightarrow -\nabla f=(8x,4y)$

at the point (-3,-2) minus the gradient equals

$\large -\nabla f(-3,-2)=(-24,-8)$

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.

7 0

4 years ago

Anybody know the correct answer to this?

Digiron [165]

$A=\{x|x=3n,\ n\in\{2,\ 3,\ 4\}\}=\{(3)(2),\ (3)(3),\ (3)(4)\}=\{6,\ 9,\ 12\}\\\\B=\{x|x=4m-3,\ m\in\{1,\ 2,\ 3\}\}\\=\{(4)(1)-3,\ (4)(2)-3,\ (4)(3)-3\}=\{1,\ 5,\ 9\}\\\\A\ \cap\ B=\{9\}$

Answer: 9

4 0

3 years ago

What is 25% Of 30% Of 400?

marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage of the new price, you can build the equation below.

$\frac{new price}{original price} = \frac{percent}{100}$

$\frac{200,000}{300,000} = \frac{x}{100}$

$20,000,000 = 300,000x$

$x = 66.667$

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

3 0

3 years ago

Help me please PRECALCULUS correct answers only please

elena-14-01-66 [18.8K]

In triangle ABC, two angles angle A and C are already given

Angle A =33.7

Angle C = 26.4

We know that the sum of angles in a triangle is 180 degree

Angle A + B + C = 180

33.7 + angle B + 26.4 = 180

60.1 + angle B = 180

Angle B = 119.9 degrees

Now we use sin angle formula to find b. Given a=24

$\frac{sin (A)}{a} =\frac{sin(B)}{b}$

$\frac{sin(33.7)}{24} =\frac{sin(119.9)}{b}$

$b =\frac{sin(119.9)*24}{sin(33.7)}$

b = 37.4979

Round answer to two decimal places

b = 37.50

8 0

3 years ago

. Suppose that Scott and Bob live on the same street. In the winter, both of them like the snow on their street to be plowed. Bo

satela [25.4K]

Answer:

a. Using the inverse demand for each, solve for the social marginal benefit curve.

Bob: Scott:

Q = 40-P Q = 30 – P

(-1)Q – 40 = -P(-1) (-1)Q – 30 = -2P

40 – Q = P 30 – Q = 2P

((30 – Q) = 2P)/2

15 – 1/2Q = P

P = 15 – 1/2Q + 40 – Q

P = 55 – 1.5Q

Scott is no longer willing to pay anything when Q >30

Social Marginal Benefit curve: Q = 40 - P

b. What is the socially efficient amount of plowing?

SMB = SMC

35 = 55 – 1.5Q

Subtract from both sides and rearrange

1.5Q = 20

Q = 13.33

c. Suppose the input costs of plowing fell and marginal costs of plowing were now constant at $5.

55 – 1.5Q = 5

55-5 = 1.5Q

50 = 1.5Q

33.3 = Q*

4 0

3 years ago