What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)

Answer:

The last option {y | y is a real number}

Step-by-step explanation:

Since the graph is a cube root function, it has no range issues. So the range is all real numbers.

Answer:

  53,157

Step-by-step explanation:

The population growth of a bacterial colony can be modeled by an exponential function of the form ...

  p(t) = a·b^t

where a is the initial population and b is the growth factor. The growth factor is ...

  b = 1 +r

where r is the growth rate.

__

In this problem we have ...

  a = 29,600

  b = 1 +5% = 1.05

  t = 12

So, the population after 12 hours is

  p(12) = 29600×1.05^12 ≈ 53,157

The colony will contain 53,157 bacteria in 12 hours.

Assuming that all the grapes have the same probability of being randomly picked:

We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.

a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:

P = 8/23

But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:

P' = 7/22.

The joint probability is the product of the two individual probabilities:

prob = (8/23)*(7/22) = 0.11

b) For the first green grape we know that the probability is:

P = 8/23

Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:

P' = 15/22

Then the joint probability is:

prob = (8/23)*(15/22) = 0.24

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Answer:

Area = 22.3 m^2

Perimeter 27.4 m^2

Step-by-step explanation:

Perimeter = __ m

Area __ m^2

The area of the triangle is about 4.2,

The area of the square is 4,

The area of the semicircle is 14.1,

14.1 + 4.2 + 4 = 22.3

Area = 22.3 m^2

9.4 + 6 + 4 + 4 + 4 = 27.4

Perimeter = 27.4 m^2

Therefore the area of the shape is about 22.3 m^2 and the perimeter is about 27.4 m^2.

Answer:

[tex]\sf Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

Find the unit rate:

[tex]\rightarrow \sf 3\dfrac{7}{9} m = Rs. \ 212\dfrac{4}{5}[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{212\dfrac{4}{5}}{3\dfrac{7}{9} }[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{4788}{85} \quad or \quad Rs. \ 56\dfrac{28}{85}[/tex]

Then find the cost of 7 2/3m cloth:

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{4788}{85} \ * \ 7\dfrac{2}{3}[/tex]

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{36708}{85}[/tex]

[tex]\rightarrow \sf 7 \dfrac{2}{3} \ m = Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

Answer:

Explain your answer C) 1 and 5

Answer:

There is 57 snails after 14 weeks

Step-by-step explanation:

tripling every week means 3x

NOTE: x is defined as the number of weeks

started with 15 snails means at day 0 (x = 0 also known as y intercept)

y = mx + b       m is the slope, b is the y intercept

our equation: y = 3x + 15

y = 3(14) + 15

y = 42 + 15

y = 57

Answer:

x=1/2 or x=-1/3

Step-by-step explanation:

6x^2-x-1=0

6x^2+2x-3x-1=0

(6x^2+2x)+(-3x-1)=0

2x(3x+1)-1(3x+1)=0

2x(3x+1)-1(3x+1)=0

(2x-1)(3x+1)=0

(2x-1)(3x+1)=0

2x-1=0

or

3x+1=0

x=-1/3

x=1/2

Answer:

Its 1/3 and -1/2

Step-by-step explanation:

Answer:

3x² - 3x + 16 = 0

Step-by-step explanation:

Standard form :

Solving :

Standard form ax²+bx+c=0

Done

Answer:

98°

142°

83°

97°

Step-by-step explanation:

m(arc)JL = 2 × 49° = 98°

m(arc)MJ = 360° - 120° - 98° = 142°

m<KJM = (120° + 46°)/2 = 83°

m<KLM = (360° - 120° - 46°)/2 = 97°

Answer:

Goodluck and look at the pic

In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The length of AD will be

tan θ = AB/AD

AD = 12/ tan 35

AD = 17.14 cm

Then the value of the BD will be given by the Pythagoras.

BD² = AB² + AD²

BD² = 12² + 17.14²

BD² = 144 + 239.78

BD² = 437.78

BD = 20.92 cm

Then operate the sine rule in triangle BCD, we have

[tex]\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}[/tex]

On further solving, the value of CD will be

CD = 25.98

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ANSWER:

Answer:

Area is = 40

Explanation:

To find the area of a parralelgram use this formula A=b×h

So . .

The base is 20 feet and the height is 4 feet.

So . .

A= 20 × 4 = 40

A=40

Answer:

See below ~

Step-by-step explanation:

2. a. Combination (as there is no particular order in which they are selected)

3. b. 5 (As there are 5 letters present)

4. Ways in which the word can be arranged :

5. No. of ways :

6. P (Honda) :

Answer:

Step-by-step explanation:

Refer the attachment

Answer:

752.5 in³

Step-by-step explanation:

  Rectangular prism:

            l = 10 in ; w = 7 in ; h = 8 in

   [tex]\boxed{\text{Volume of rectangular prism=l*w*h}}[/tex]

                                                = 10 * 7 * 8

                                                = 560 in³

Half cylinder:

Diameter of the cylinder will be equal to the width of the rectangular prism.

       r = 7/2 = 3.5 inches ; h = 10 in

[tex]\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}[/tex]

                                       [tex]\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3[/tex]

Volume of composite figure = 560 - 192.5

                                               = 752.5 in³

There are 20 possible different combination of meals

The given parameters are:

Drinks = 4

Main dishes = 5

The number of different meals is calculated as:

Meals = Drinks * Main dishes

So, we have:

Meals = 4 * 5

Evaluate

Meals = 20

Hence, there are 20 possible different combination of meals

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Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

Answer:

108

Step-by-step explanation:

x and 2/3 x are linear pair angles.

Sum of linear pair angles is 180.

x + 2/3 x = 180

3x/3 + 2x/3 = 180

( 3x + 2x )/3 = 180

5x/3 = 180

Cross multiply,

5x = 180 * 3

Divide 5 on both sides,

x = ( 180 * 3 )/5

  = 36 * 3

x = 108

Answer:

$288

Step-by-step explanation:

468 ÷ 26 = 18

so $18 per hour times 16 hours would give you $288, your right

The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have

[tex]z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13[/tex]

The value of the z-score at x = 29, we have

[tex]z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16[/tex]

Then the probability will be

[tex]\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end[/tex]

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The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

The function is given as:

f(x) = 16x^2 - 1

Express 16 as 4^2 and 1 as 1^2

f(x) = (4x)^2 - 1^2

Apply the difference of two squares

f(x) = (4x  + 1)(4x -1)

Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

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Logistics regression can be used as a classifier by Logistic regression can be used as a classifier. The second option is correct.

This is a predictive type of analysis. What is done here is that this type of analysis helps in the description of data and the probability of events happening.

It is based on a given set of independent variables in the regression equation.

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Addition:

Increased by, greater than, more than, sum

Subtraction:

Decreased by, decrease, less than, difference

Multiplication:

Times, equal groups, __ times as many, product

Division:

Quotient, divided by, goes into, split equally

Answer:

let's find the value of x:

4)

5)

6)

Answer:

: w ≤ - 6

Step-by-step explanation:

If the volume of the cube is 1/27 cubic inches. Then the volume of the prism will be 10 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

A prism is completely filled with 270 cubes that have an edge length of 1/3in.

Then the volume of the prism will be given as

Volume of prism = 270 (volume of the cube)

Then the volume of the cube will be

Volume of cube = (edge)³

Volume of cube = (1/3)³

Volume of cube = 1/27 cubic inches

Then the volume of the prism will be

Volume of prism = 270 × (1/27)

Volume of prism = 10 cubic inches

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