please help me


what is the radical expression that is equivalent 27 ⅕?

enter your answer as a radical

Answer:

9.33

Step-by-step explanation:

12( 4 + 3 ) / 6 + 3

48 + 36 / 6 + 3

84 / 9

9.33

Answer: It lost $6.75 in the first year.

Step-by-step explanation: Using the graph, first determine the function of loss in value and years, by calculating:

Slope: m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex] and then, substitute in: [tex]y-y_{0}=m(x-x_{0})[/tex]

The equation is:

[tex]y-y_{0}=(\frac{y_{a}-y_{b}}{x_{a}-x_{b}} )(x-x_{0})[/tex]

Assuming y is value and x is years.

From the graph, in year 0, loss is 10 and in year 4, loss is 7, i.e.:

[tex]y-10=(\frac{7-10}{4-0} )(x-0)[/tex]

[tex]y=\frac{-3}{4}x+10[/tex]

For the first year, loss in value will be:

[tex]y=\frac{-3}{4}.1+10[/tex]

y = 6.75

During the first year, the loss in value is $6.75

Answer: 1,000

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Let x = the number

6x-3=52+x

   6x=55+x

   5x=55

     x=11

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

Answer:

770,000?

Step-by-step explanation:

your just rounding

Answer:

766,000

Step-by-step explanation:

Brainliest pleeease

Step-by-step explanation:

It is given that,

[tex]u{\cdot}v=4\\\\|u|=5\\\\|v|=3[/tex]

We need to find the value of [tex]4u{\cdot} (4u-7v)[/tex]

Firstly, we should simplify [tex]4u{\cdot} (4u-7v)[/tex]

[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v[/tex]

Now using distributive property : x(y-z)=xy-yz

So,

[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288[/tex]

So, the value of  [tex]4u{\cdot} (4u-7v)[/tex] is 288.

Answer:$132.70

Just believe it

Answer: 125.7

Step-by-step explanation:

Answer:

I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a

Step-by-step explanation:

Answer:

Natalie is 13 years old

Step-by-step explanation:

7+6=13

Answer:13

Step-by-step explanation: 7 + 6 = 13

Answer:

[tex]\boxed{x=5}[/tex]

Step-by-step explanation:

First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.

6x + 10 - 2x = 7 + 23

4x + 10 = 7 + 23

4x + 10 = 30

Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.

4x + 10 = 30

4x = 20

x = 5 is the final answer.

Answer:

B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Step-by-step explanation:

Given that:

the null hypothesis is;

[tex]H_o : p =0.10[/tex]

the alternative hypothesis is:

[tex]H_a : p >0.10[/tex]

The p - value for the hypothesis is 0.09

The level of significance ∝ = 0.025

The Decision rule is that to reject the null hypothesis if the p-value is less than the level of significance ∝.

Conclusion: We fail to reject the null hypothesis because the p-value is  greater than the level of significance , therefore:

There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Answer:  2240

Step-by-step explanation: Simplify the expression.

I hope this helps you out.

Here, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

Given that,
To determine the number that is this prime factorization 2 x 3 2 x 5 x 7 belongs to.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factors of the number are the factors that consist of only prime numbers,
i.e.
2 x 3 x 2 x 5 x 7 =  420

Thus, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

Learn more about Factors here:
https://brainly.com/question/24182713

#SPJ2

Answer:

The null hypothesis will not be rejected at 5% significance level.

Step-by-step explanation:

Consider a Chi-square test for goodness of fit.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

 [tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

The information provided is:

Observed values:

Half Pint: 36  

XXX: 35  

Dark Night: 9  

TOTAL: 80

The expected proportions are:  

Half Pint: 40%

XXX: 40%  

Dark Night: 20%  

Compute the expected values as follows:

E (Half Pint)  

 [tex]=\frac{40}{100}\times80=32[/tex]

E (XXX)  

 [tex]=\frac{40}{100}\times80=32[/tex]

E (Dark night)  

 [tex]=\frac{20}{100}\times80=16[/tex]

Compute the test statistic as follows:

 [tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

     [tex]=\frac{(36-32)^{2}}{32}+\frac{(35-32)^{2}}{32}+\frac{(9-16)^{2}}{16}\\\\=3.844[/tex]

The test statistic value is, 5.382.

The degrees of freedom of the test is:

n - 1 = 3 - 1 = 2

The significance level is, α = 0.05.

Compute the p-value of the test as follows:

p-value = 0.1463

*Use a Chi-square table.

p-value = 0.1463 > α = 0.05.

So, the null hypothesis will not be rejected at 5% significance level.

Answer:

3.5 lbs of jellybeans

Step-by-step explanation:

2.5 x 3.40

8.5

13.75 - 8.5 = 5. 25

5. 25 divided by 1.50 =

3.5

Answer:

3.5

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

I think it's because the bracket was expanded.

Answer:

|-49| < |-52|

Step-by-step explanation:

|-49| = 49

|-52| = 52

49 < 52

--> |-49| < |-52|

Answer:

|-49|<|-52|

Step-by-step explanation:

Absolute Values

|-49|=49

|-52|=52

49<52 so

|-49|<|-52|

Answer:

[tex]\huge\boxed{42.9 \%}[/tex]

Step-by-step explanation:

=> [tex]\frac{3}{7}[/tex]

To make it a percentage, we need to multiply and divide it by 100

=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]

=> [tex]\frac{300}{700}[/tex]

To make the denominator 100, we'll divide the numerator and denominator by 7

=> [tex]\frac{300/7}{700/7}[/tex]

=> [tex]\frac{42.9}{100}[/tex]

Percentage means out of hundred, so it becomes

=> 42.9 %

Answer:

c

Step-by-step explanation:

cc

Answer:

-2.4+3.2t

Step-by-step explanation:

[tex]-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t[/tex]

Answer:

-2.4+3.2t

Step-by-step explanation:

Khan

Answer: x=2 and y=4/3

Step-by-step explanation:

To solve by substitution method, you want to solve for one variable, and plug it into the other equation.

Let's solve for y in 2x+3y=8.

[tex]2x+3y=8[/tex]                          [subtract both sides by 2x]

[tex]3y=8-2x[/tex]                           [divide both sides by 3]

[tex]y=\frac{8-2x}{3}[/tex]

Now that we have y, we can plug it into the second equation.

[tex]9x-3y=14[/tex]                         [plug in y]

[tex]9x-3(\frac{8-2x}{3} )=14[/tex]                 [multiply 3 and y to cancel out the 3]

[tex]9x-(8-2x)=14[/tex]                [distribute -1 to 8-2x]

[tex]9x-8+2x=14[/tex]                   [combine like terms]

[tex]11x-8=14[/tex]                          [add both sides by 8]

[tex]11x=22[/tex]                                [divide both sides by 11]

[tex]x=2[/tex]

Since we know the value of x, we can substitute it back into any of the 2 equations to find y.

[tex]2x+3y=8[/tex]                           [plug in x=2]

[tex]2(2)+3y=8[/tex]                        [multiply 2 and 2]

[tex]4+3y=8[/tex]                            [subtract both sides by 4]

[tex]3y=4[/tex]                                  [divide both sides by 3]

[tex]y=\frac{4}{3}[/tex]

Our final answer is x=2 and y=4/3.

Answer:

[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]

Answer:

n = -1

Step-by-step explanation:

Solve for n:

1 - 2 n = 3 (n + 2)

Expand out terms of the right-hand side:

1 - 2 n = 3 n + 6

Subtract 3 n from both sides:

1 + (-2 n - 3 n) = (3 n - 3 n) + 6

-2 n - 3 n = -5 n:

-5 n + 1 = (3 n - 3 n) + 6

3 n - 3 n = 0:

1 - 5 n = 6

Subtract 1 from both sides:

(1 - 1) - 5 n = 6 - 1

1 - 1 = 0:

-5 n = 6 - 1

6 - 1 = 5:

-5 n = 5

Divide both sides of -5 n = 5 by -5:

(-5 n)/(-5) = 5/(-5)

(-5)/(-5) = 1:

n = 5/(-5)

The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):

n = 1/(-1)

1/(-1) = -1:

Answer: n = -1

Answer: B

Step-by-step explanation:

To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.

f(x)-g(x)                                              [plug in f(x) and g(x)]

-3x+2-x³                                             [rewrite in the correct order]                

-x³-3x+2

Since there are no like terms for us to combine, B is our correct answer.

Answer: 75

Step-by-step explanation:

Answer:X=10

Step-by-step explanation:

Answer:

  30)  25x^2 +28x +16

  31)  (15/2)x +15

  32)  18x^3 -21x^2 -52x -20

Step-by-step explanation:

For a shape with a cutout, the shaded area is the difference between the area of the enclosing shape and the area of the cutout. The applicable area formulas are ...

  area of rectangle: A = bh

  area of triangle: A = (1/2)bh

Here, the dimensions are given as binomials (2-term polynomials), so you have to multiply those to find the areas. The distributive property is helpful for that.

__

30) shaded area = (5x+8)(6x+2) -(5x)(x+6)

  = (5x)(6x+2) +8(6x+2) -5x^2 -30x

  = 30x^2 +10x +48x +16 -5x^2 -30x

  shaded area = 25x^2 +28x +16

__

31) shaded area = (1/2)(x+6)(2x+5) -x(x+1)

  = (1/2)(x(2x+5) +6(2x+5)) -x^2 -x

  = (1/2)(2x^2 +5x +12x +30) -x^2 -x

  = x^2 +(17/2)x +15 -x^2 -x

  shaded area = (15/2)x +15

__

32) volume = lwh = (2x -5)(3x +2)(3x +2)

  = (2x -5)(3x(3x +2) +2(3x +2))

  = (2x -5)(9x^2 +6x +6x +4)

  = (2x -5)(9x^2 +12x +4)

  = 2x(9x^2 +12x +4) -5(9x^2 +12x +4)

  = 18x^3 +24x^2 +8x -45x^2 -60x -20

  volume = 18x^3 -21x^2 -52x -20

Step-by-step explanation:

Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.

Answers:

m∠IGH = 51º

m∠FGH = 102º

Answer:

1/6

Step-by-step explanation:

I don't know how to use it using a number line sorry

-1/3 - (-1/2)

Two minuses give us a plus

so:

-1/3 + 1/2

make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)

so:

-2/6 + 3/6 = 1/6

Answer:

(-3, -2)

Step-by-step explanation:

y = -2x + 4; y = -2

plug in y

-2 = -2x + 4

subtract 4 from each side

-6 = 2x

divide by 2

x = -3