evaluate the following -3 - (-8)

Answer:

135 square centimeters.

Step-by-step explanation:

The area of a triangle is given by the formula:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the base length and h is the length of the vertical height.

From the triangle, we can see that the base is 18 and the vertical height is 15. Thus:

[tex]A=\frac{1}{2}(18)(15)[/tex]

Multiply:

[tex]A=(9)(15)\\A=135\text{ cm}^2[/tex]

The area of the triangle is 135 square centimeters.

Answer:

135 cm

Step-by-step explanation:

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:

[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: 75

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

12( 4 + 3 ) / 6 + 3

48 + 36 / 6 + 3

84 / 9

9.33

Answer:

Distributive Property

Step-by-step explanation:

I think it's because the bracket was expanded.

Answer:

Natalie is 13 years old

Step-by-step explanation:

7+6=13

Answer:13

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

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: 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:X=10

Step-by-step explanation:

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:

  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

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:$132.70

Just believe it

Answer: 125.7

Step-by-step explanation:

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: 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:

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:

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

Step-by-step explanation:

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:

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:

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:

Here is an example

Use distributive property to write an expression that is equivalent to 5 x + 25. Solution : 5x + 25 = 5x + 5(5) 5x + 25 = 5(x + 5) Example 7 : Use distributive property to write an expression that is equivalent to 7y + 5y. Solution : 7y + 5y = y(7 + 5) Example 8 : Use distributive property to write an expression that is equivalent to 0.2y + z.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

cc

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:

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:

770,000?

Step-by-step explanation:

your just rounding

Answer:

766,000

Step-by-step explanation:

Brainliest pleeease

Answer:

3/4=.75

i wish i could explain but i dont really know but there's the anwser at least

Hope i helped

SJ

Answer:

the answer is 0.75

Step-by-step explanation:

You can put that into a decimal. 3/4 = 0.75 . Dividing a number by a larger number ends in an answer that is less than one always!.

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:

(-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