Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement

Step-by-step explanation:

so,

x²y³ = 10

x³y² = 8

what is the value of x⁵y⁵ ?

don't you see right away that 2+3 and 3+2 both equal 5 ?

so, x³x² = x⁵

y²y³ = y⁵

so, I only need to multiply both equations with each other. and I get

x²y³×x³y² = 10×8

x⁵y⁵ = 80

why ? because multiplications and exponents (which are nothing else than multiplications) are all communicative :

a×b = b×a.

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.

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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Answer:

12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.

If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].

Answer:

The triangles are not similar

Step-by-step explanation:

You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.

These will be:

ED:BA = EF:BC = FD:AC

Now, to substitute the numbers and check whether the ratios are equal:

3/8 = 2/5

Already, we see that these ratios are not equal, therefore the two triangles aren't similar.

Answer:

the statement that combines the functions is P(x)

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:

[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:

15 lbs of onions.

Step-by-step explanation:

23 lbs divided by $46 = 0.5 lbs per $1

0.5 lbs times $30

15 lbs

ANSWER:

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:

Step-by-step explanation:

left to right

63 33 28 88 55 120 24 24 2 90

48 28 40 50 72 30 60 99 12 20

18 16 81 9 42 32 62 40 22 66

18 8 60 6 49 108 110 27 121 80

36 35 20 24 44 36 54 96 132 12

56 144 77 30 72 36 70 16 15 14

45 21 25 84 10 100 40 12 120 54

64 30 27 60 24 36 121 10 18 18

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:

you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph

The area of the smallest box that a circular pizza will fit into = 1661 squared cm.

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

The circular pizza requires the same amount of dough as the square pizza.

Area of the square pizza =40 cm * 40 cm

                                         = 1600 [tex]cm^{2}[/tex].

Area of circle= [tex]\pi\; r^{2}[/tex]

        1600     = 3.14 *[tex]r^{2}[/tex]

         [tex]r^{2}[/tex] = 510

        r= 22.58

       r = 23 cm approx.

Area of circle= [tex]\pi\; r^{2}[/tex]

                     = [tex]3.14 * (23)^{2}[/tex]

                     = 1661.06 squared cm

The area of the smallest box that a circular pizza will fit into = 1661 squared cm.

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Answer:

Length = 5/6 foot

Breadth = 1/3 foot

Area of rug = l×b

=5/6 × 1/3

= 5/18 Ft^2

Answer:

$4,900

Step-by-step explanation:

[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]

This simplifies to 4807.7, which you can round to $4,900.

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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Answer:

: w ≤ - 6

Step-by-step explanation:

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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Answer:

Factor by grouping.

(3x−1)(3x+2)

Step-by-step explanation:

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:

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

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:

Explain your answer C) 1 and 5

Make dots at the given x and y values and draw a line through them.

see attached image

Answer:

-0.72

Step-by-step explanation:

First we must solve what in parenthesis

Now we must convert [tex]\frac{9}{14}[/tex] to a whole number

To do that simply divide 9 by 14 and that come out as

= 0.6

Now multiply

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: