1/6 and 2/6 have the same numerator

Answer:

33.18

Step-by-step explanation:

Using the formula in the image below, substitute [tex]r[/tex] for [tex]3\frac{1}{4}[/tex], and simplify π to about 3.14. Then solve that. [tex]3.14((3\frac{1}{4})^{2})=33.18[/tex]

Answer:

  (a)  12

Step-by-step explanation:

The integral over the reverse range is the opposite of the integral over the forward range. The integral over adjoining ranges is the integral over the whole range.

  [tex]\displaystyle \int_{-1}^5{f(x)}\,dx=\int_{-1}^1{f(x)}\,dx+\int_{1}^5{f(x)}\,dx\\\\=\int_{-1}^1{f(x)}\,dx-\int_{5}^1{f(x)}\,dx=5-1=4[/tex]

Then 3 times the integral is ...

  [tex]\displaystyle 3\int_{-1}^5{f(x)}\,dx=3(4)=\boxed{12}[/tex]

Answer:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Answer:

The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%

Step-by-step explanation:

The given parameters of the area are;

The length of the radius of the circle, r = 4 cm

The length of the side of the inscribed quadrilateral, s = 4·√2 cm

The diagonals of the inscribed quadrilateral = 2 × The radius of the circle

∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square

The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;

The white area = The total area - The area brown square

The total area, A = The area of the circle with radius, r = π·r²

∴ A = π·(4 cm)² = 16·π cm²

The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²

The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²

The probability that a randomly selected point within the circle falls in the white area is therefore;

[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]

By rounding to the nearest tenth of a percent, we have;

The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.

9514 1404 393

Answer:

  C and D

Step-by-step explanation:

Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.

1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.

Example:

  x = √(x +2)   ⇒  x² = x+2 . . . has 2 roots, one of which is extraneous

__

2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.

__

The answer choices C and D are likely to have extraneous roots based on the above observations.

_____

Additional comment

Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...

  ((x+3) -6)/((x -3)(x +3)) = 0   ⇒   1/(x+3) = 0 . . . . no solution

Answer:59280

Step-by-step explanation: Perumtaion of (40,3)

The required possible number of sequences is given as 59280.

Given that,
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of balls = 40
Number of balls selected = 3
Combination of sequence = 40P3
Combination of sequence = 59280

Thus, the required possible number of sequences is given as 59280.

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Answer:

ill be figuring this out rn, (theres a caculator thingy online if nobody helps u)

Step-by-step explanation:

44.4 is the Percent and as a fraction its

111/250 (thats what i got)

6.66 as a dec. and as a fraction its 333/50

sorry if these are wrong bur its what i got.

Answer: No

Step-by-step explanation: MAD(Mean Absolute Deviation is 5, and if the mean of data set c is 10, 10+5=15 at most and the mean of data set d is 30, 30-5=25 at most and there is no overlap

Answer:

Your answer is no

Step-by-step explanation:

Answer:

T1 = 975 / (205 + V)         flying with wind

T2 = 975 / (205 - V)         flying against wind

T2 = T1 + 2

975 * {1 / (205 - V) - 1 / (205 + V)] = 2

(205 + V + V -205) / (205^2 - V^2) = 2 / 975

V^2 + 975 V - 42025 = 0          rearranging

V = 41.3

Values of flying are  246.3 and 163.7

Check:  

T1 = 975 / 246.3 = 3.96 hrs

T2 = 975 / 163.7 = 5.96 hrs

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship  going west ( x-direction)   is traveling at 15 mph

Ship going north  (y-direction) is traveling at 10 mph

The distance L between ships is:

L²  = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt  + 2*y*Dy/dt    (1)

In that equation we know:

Dx/dt  = 15 mph

Dy/dt  = 10 mph

At the moment  ship traveling from the east is at 3 miles from the port

then x = 3 m  and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4²    L = 5

By substitution in equation 1

2*5*DL/dt  = 2*3*15 + 2*4*10

10* DL/dt  =  90  +  80

DL/dt = 170 / 10

DL/dt = 17 mph

Answer:

12,6,3

Step-by-step explanation:

its dividing by half

Answer:

70 ft

Step-by-step explanation:

2x5x7=70

Answer:

Supplementary

Step-by-step explanation:

53 + 125 = 180 degrees

Answer:

the mean is you need to make the photo bigger somehow so that people can see it

Step-by-step explanation:

Answer: D

Step-by-step explanation:

adjusted balance

Answer:

above is correct

Step-by-step explanation:

d

Answer:

Fraction  Decimal  Percent

111/250 = 0.444 = 44.4%

5/100 = 0.05 = 5%

2/3 = 0.66 = 666%

Answer:

i don't know

Step-by-step explanation:

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.

A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.

Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.

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Answer:

the measure of arc HG is 136

Answer:

0.125

Explanation:

0.5 x 0.5 x 0.5 = 0.125

Answer:

A

Step-by-step explanation:

Answer:

A) less than -5

Step-by-step explanation:

If it is lesser than -5, that means the line will be going to the left. This also means that the circle will be an open circle, not shaded.

Answer:

x = -5

Step-by-step explanation:

2x + 17 + 3x = 4 + 3x + 3​

5x + 17 = 3x + 7

5x - 3x = 7 - 17

2x = -10

x = -5

Step-by-step explanation:

5x+17=3x+7

5x-3x=-17+7

2x=-10

x=-5

*can you help me back please

18 + 9x = 49

with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.

18 + 9(6) [tex]\neq[/tex] 49

9 x 6 = 54

54 + 18 = 72

you could have enough money in 4 weeks