Find the measure of
angle R.

Answer:

The probability of Karmen picking a car with a black exterior and a beige interior is

1/6. The probability of Karmen picking a car with a beige interior and an automatic transmission is

1/4.

Step-by-step explanation:

The number of possible outcomes from the tree diagram is 12.

Two of the possible outcomes are a car with a black exterior and a beige interior. The probability of Karmen picking a car with a black exterior and a beige interior is , or .

Three of the possible outcomes are a car with a beige interior and an automatic transmission. So, the probability of Karmen picking a car with a beige interior and an automatic transmission is , or .

Answer:

1/6 and 1/4

Step-by-step explanation:

Just did this.

Answer:

[tex] - 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\ = - 21 - 24 + 21 + 24 \\ = 0[/tex]

Answer:

In a function of two variables, the critical points are these in which both derivatives are 0, and if:

[tex]\frac{d^2f}{dx^2}*\frac{d^2f}{dy^2} - [ \frac{d^2f}{dxdy} ]^2 < 0[/tex]

the point is a saddle point.

If the above equation is larger than zero, the critical points can be either a local maximum or a local minimum.

If it is equal to zero, no conclusions can be made.

First, let's find all these derivatives.

df/dx = 4*(x^3)*(y^2)

This is zero when x or y are equal to zero.

df/dy = 2*(x^4)*(y)

This is equal to zero when either x or y are equal to zero.

So in both cases, the points of the form:

(x, 0) and (0, y) are zeros of the first derivative, so these are the critical points.

Now let's look at the second derivatives:

[tex]\frac{d^2f}{dx} = 4*3*x^2*y^2 = 12*x^2*y^2[/tex]

[tex]\frac{d^2f}{dy^2} = 2*x^4[/tex]

[tex][\frac{d^2f}{dxdy} ]^2 = (4*x^3*2*y)^2 = 64*x^6*y^2[/tex]

Then, the equation to see if the points are saddle points or not are:

[tex](12*x^2*y^2)*(2*x^4) - 64*x^6*y^2 < 0[/tex]

In any of the previous found points (the ones of the form (x, 0) and (0, y)) the above equation will be equal to zero, then none of these points is a saddle point. More than that, in the particular case where the above equation is equal to zero, the critical points can be either: A relative minimum, a relative maximum, or a saddle point (so we need more analysis to find it out)

But in this case is ratter simple, because both powers in f(x, y) are even, we can conclude that the function is even and symmetric about x= 0 and y = 0, and the function is also positive, so all the points:

(0, y) and (x, 0) are the minimum values that f(x, y) can take.

Then the critical points are relative minimums.

Answer:

hnjajka

Step-by-step explanation:

wlbhnaewbbu

9514 1404 393

Answer:

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Answer:

Volume of trunk = 4,14,720 inches³

Step-by-step explanation:

Find:

Length of trunk = 48 inches

Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet

Height of trunk = 32 inches

Find:

Volume of trunk

Computation:

1 feet = 12 inch

Width of trunk = 22.5 feet

Width of trunk = 22.5 x 12

Width of trunk = 270 inches

Volume of trunk = Length x Width x Height

Volume of trunk = 48 x 270 x 32

Volume of trunk = 4,14,720 inches³

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

A die usually has 6 sides.

Answer - B (1/2)

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Step-by-step explanation:

you got this i believe in you

Answer:

B

Step-by-step explanation:

$970+$2436= $3,406

the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)

Answer:

24 ft cubed  

Step-by-step explanation:

V=l*w*h

V=  4 x 3 x 2

4 x 3=12 and 12 x 2= 24

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

Answer: I think it is 36 shovelfuls

Step-by-step explanation:

V = πr²h

V = π • 6² • 12

V = π • 36 • 12

V = 1357.2in³

V = 1/3πr²h

V = 1/3 • π • 3² • 4

V = 1/3 • π • 9 • 4

V = 1/3 • π • 36

V = 37.7in³

1357.2 ÷ 37.7 = 36 shovelfuls

Answer:

6 groups

Step-by-step explanation:

Division: 30/5 = 6

Multiplicatio: 6 times 5 = 30

hope it helps, have a nice day~

Answer:

37 8/8

Step-by-step explanation:

9514 1404 393

Answer:

  3 ≤ z ≤ 20

Step-by-step explanation:

The zoom capability ranges from 3 to 20, so we can write the compound inequality ...

  3 ≤ z ≤ 20

Answer:

The percent of the area under the density curve where [tex]x[/tex] is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

[tex]A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot (y_{f}-y_{o})[/tex] (1)

Where:

[tex]A[/tex] - Area, in square units.

[tex]x_{f} - x_{o}[/tex] - Base of the triangle, in units.

[tex]y_{f} - y_{o}[/tex] - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

[tex]x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%[/tex]

[tex]x = 25\,\%[/tex]

The percent of the area under the density curve where [tex]x[/tex] is more that 3 is 25 %.

Answer:

C

Step-by-step explanation:

im decently sure but dont rely on this answer

Answer:

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.

Step-by-step explanation:

Answer:

32 pieces

Step-by-step explanation:

basically its 8 x 4

8x4=32

you get 8 because it says they are cut into eighths and the 4 because of four pies

Answer: If I am correcto, it's 638.625.

Sorry if the question may be Wrong, but, I am almost certain this is correct, from a Scientific point of Math.

Answer:

22

Step-by-step explanation:

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg

Answer:

B

Step-by-step explanation:

90-60 is 30 and it goes backwards so it is -30