find sin60 A.1/2 B.2/2 C.3/2

Answer:

p= 47

Step-by-step explanation:

61 - p = 14

p = 61 - 14

p = 47.

Answer:

y= -1-2x

Step-by-step explanation:

[tex]4x + 2y = −2[/tex]

Move 4x to the right and change it's sign

[tex]2y = - 2 - 4x[/tex]

Divide through by 2

[tex] \frac{2y}{2} = \frac{ - 2}{2} - \frac{4x}{2} [/tex]

Simplify

[tex]y = - 1 - 2x[/tex]

Answer: y=-8/5x+2

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

[tex]m=\frac{-6-10}{5-(-5)} =\frac{-16}{10} =-\frac{8}{5}[/tex]

With our slope, we can piece together the slope-intercept form equation.

y=-8/5x+2

Answer:

Median is 78

Step-by-step explanation:

The median is the number where 50% of the other numbers are lower and 50% of the other numbers are higher, the middle, so in this case 78 is the middle number.

The median of the data sets 67, 98, 78, 75, 83, 44, and 98 will be 78.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The data is given below.

67, 98, 78, 75, 83, 44, 98

Arrange the data set in ascending order, then the data set is given as,

44, 67, 75, 78, 83, 98, 98

The number of terms in the data set will be 7.

Then the median of the data set will be 78.

More about the median link is given below.

https://brainly.com/question/300591

#SPJ2

Answer:

The critical region is t ≥ t(0.025, 7) = 2.365

Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.

Step-by-step explanation:

We set up our hypotheses as

H0: β= 0   the two variable X and Y are not related

Ha: β  ≠ 0. the two variables X and Y are related.

The significance level is set at α =0.05

The test statistic if, H0 is true, is  t= b/s_b

Where   Sb =S_yx/√(∑(X-X`)^2 )

Syx = √((∑(Y-Y`)^2 )/(n-2))

In the given question we have the estimated regression line as y= 0.449x - 30.27

X Y X2         Y2      XY

72 3 5184 9    216

85 7 7225 49    595

91 10 8281 100      910

90 10 8100 100      900

88 8 7744 64       704

98 15 9604 225      1470

75 4 5625 16       300

100 15 10000 225       1500

80 5 6400 25        400        

∑779 77 68163 813 6995

Now finding the variances

∑(Y-Y`)^2  = ∑〖Y^2- a〗 ∑Y- b∑XY

                      = 813 – (- 30.27)77 - 0.449(6995)

                       = 813+2330.79 – 3140.755

                       = 3.035

∑(X-X`)^2 =  ∑X^2  – (∑〖X)〗^2 /n

                   = 68163 – (779)2/9

                    = 736.22

Syx = √((∑(Y-Y`)^2 )/(n-2))  = √(3.035/7) = 0.65846 and

Sb =S_yx/√(∑(X-X`)^2 ) = (0.65846  )/27.13337 = 0.024267

t= b/s_b  = 0.449/ 0.024267 = 18.50249

The critical region is t ≥ t(0.025, 7) = 2.365

Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.

Answer:

x≤ -3/8

Step-by-step explanation:

[tex]4x\le \:-\frac{2}{5}\left(6x+6\right)\\[/tex]

Expand ;

[tex]\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}[/tex]

[tex]4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x[/tex]

Simplify

[tex]\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}[/tex]

Answer:

plz ask question correctly

Answer: 4y - x = 8

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer: 4y - x = 8

Hoped I helped

Answer:

B.) translation and rotation

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

yes it think

Step-by-step explanation:

You are correct. A statistical question is one where you apply things like random sampling and averages to answer questions such as choice B. With that many people, there's variability in the height so there isn't one set height. So instead we have an average height.

The other questions are simple straightforward answers that don't require statistics. There isn't any variability in the dataset for these types of questions.

[tex]\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

[tex]sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}[/tex]

Then,

[tex]\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10[/tex]

Thank you

Answer:

-10

Step-by-step explanation:

L' Hopital's rule can be used to solve it.

We search for lim (f(x)/g(x))

this is the same as lim (f' (x)/g' (x))

this is the same as lim f'' (x)/g'' (x)

so here we have f(x) =sin(4x)-4sin(x)

g(x)=x^3

g'' (x)= 6x

f'' (x)=-16sin(4x)+4sin(x)

so lim f'' (x) / g ''(x) = -16/6 lim sin(4x)/x + 4/6 lim (sin(x)/x)

= -16*4/6+4/6

=(-64+4)/6=-60/6=-10

a.   Since a line doesn't have endpoint, it doesn't matter which

two points we use to name a line so we could call this line DC.

b.   A ray is a figure that starts at and endpoint and continues

forever in one single direction. So a ray here would be ray AB.

c.   Opposite rays are two rays that share a common endpoint,

have no other points of intersection, and all points are collinear.

So ray EC and ray ED would be opposite rays.

A) Line names are made using two letters, since line CD passes through E, line CD could be renamed CE

B) a Ray has one end point and goes in one direction. If A is the endpoint, the line goes through point B

The Ray would be AB with an arrow pointing to the right above the letters.

C) Opposite rays create a straight line and have the same point.

Ray ED is opposite EC

Answer:

10 c

Step-by-step explanation:

4 c = 2 qt

8c + 2c = 10c

Answer:

Infrared light

Step-by-step explanation:

Infrared cameras capture heat signals from living or warm objects. Body heat is given off as infrared energy; our natural eyes can't see it.

Answer:

Infra-red Light

Step-by-step explanation:

Answer:

The  correct option is  B

Step-by-step explanation:

From the question we are told 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  is  [tex]p-value = 0.09[/tex]

   The  level of  significance is  [tex]\alpha = 0.025[/tex]

From the given values [tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis

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

Answer:

5x - 2 = 8

5x = 8 + 2

5x = 10

x = 10/5

x = 2

Answer/Step-by-step explanation:

Given:

m<EFH = (5x + 1)°

m<HFG = 62°

m<EFG = (18x + 11)°

Required:

1. Value of x

2. m<EFH

3. m<EFG

SOLUTION:

1. Value of x

m<EFH + m<HFG = m<EFG (angle addition postulate)

(5x + 1) + 62 = (18x + 11)

Solve for x using this equation

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

Subtract 18x from both sides

5x + 63 - 18x = 18x + 11 - 18x

-13x + 63 = 11

Subtract 63 from both sides

-13x + 63 - 63 = 11 - 63

-13x = -52

Divide both sides by -13

-13x/-13 = -52/-13

x = 4

2. m<EFH = 5x + 1

Plug in the value of x

m<EFH = 5(4) + 1 = 20 + 1 = 21°

3. m<EFG = 18x + 11

m<EFG = 18(4) + 11 = 72 + 11 = 83°

Answer:

24 square cm

Step-by-step explanation:

[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 12 \times 4 \\ = 6 \times 4 \\ = 24 \: {cm}^{2} \\ [/tex]

a.

   x   -  the length of the shorter piece

b.

   twice as large means:

   2x  -  the length of the loger piece  

   so:

      x + 2x  - the sum of length of pieces {total of rope}

the equation:   x + 2x = 36

c.

  x + 2x = 36

     3x = 36

    ÷3     ÷3

     x = 12 ft

2x = 2×12 = 24 ft

The length of the shorter piece is 12 ft

The length of the loger piece is 24 ft

Answer:

-7, |-2|, 3, |4.5|

Step-by-step explanation:

-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.

Answer:

-7, |-2|, 3, |4.5|

Step-by-step explanation:

First, let's find -2 and |4.5| .

Absolute value of a number is its distance from 0. Remember, absolute value is always zero or positive.

Now, let's use a number line to order the numbers. Numbers to the left are less than numbers to the right.

The values in order from least to greatest is as follows: -7, |-2|, 3, |4.5|.

Answer:

Profit from selling n cakes = $6.75n - $86

Profit from selling 25 cakes = $82.75

Step-by-step explanation:

You are selling cakes at a bake sale for $6.75 each.

You spend $86 to buy ingredients and supplies.

Profit from selling n cakes is;

Profit = Selling price - cost price

Profit = $6.75n - $86

Profit for selling 25 cakes is;

Profit = $6.75(25) - $86 = $82.75

Answer:

h = 2 (v − s²) / s

Step-by-step explanation:

v = s² + ½sh

Subtract s² from both sides.

v − s² = ½sh

Multiply both sides by 2.

2 (v − s²) = sh

Divide both sides by s.

2 (v − s²) / s = h

Answer:

3

Step-by-step explanation:

(20a - 1) ÷ b

a = 2

b = 13

(20(2) - 1) ÷ 13

(40-1)÷13

39÷ 13

= 3

answer: 32a^{13}b

your welcome

Answer:

50 seconds

Step-by-step explanation:

2 boxes in 5 seconds

20÷2=10

10×5=50

50 seconds = 20 pizza boxes

Answer:

50

Step-by-step explanation:

2=5secs

20=?

to make 20 from 2 you do =2×10

so,

5×10=50seconds is the time he would take to assemble 20pizza boxes

Some integers are irrational is false

Answer:

A.) Some integers are irrational

Step-by-step explanation:

Integers are natural numbers, their opposites, and zero. (-2,-1,0,1,2)

Natural numbers, whole numbers, and integers are all rational numbers.

Irrational numbers cannot be written as quotients of integers, and they have decimal representations that do not repeat or terminate ([tex]\sqrt{2},\pi[/tex]).

The other statements are true

Answer:

Step-by-step explanation:

Let the initial point of of the sea level be 0. If the whale was initially 460 feet below sea level, then its distance from the surface of sea level to the 460ft below the sea level will be 460 - 0 = 460ft.

Also, if the whale rises up and breaches out of water to a height of 27 feet above sea level, then its distance from the surface of sea level to the 27ft above the sea level will be 0 - 27 = 27ft.

The vertical distance that the whale travels = distance from the sea level to 460ft below the sea level + distance from the sea level to 27ft above the sea level

The vertical distance that the whale travels  = 460ft + 27ft

The vertical distance that the whale travels  = 487ft

Answer:

yes

Step-by-step explanation:

yes because they are in the same line

Answer: x=15, y=10

*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.

Step-by-step explanation:

For this problem, we can use system of equations. Let's use x for one number and y for the other.

First Equation:

x+y=25

We get this equation because it states that the sum of the two numbers is 25.

Second Equation:

y=x-5

We get this equation because it says one number (y) is 5 less than the other (x).

Since we have two equations, we can use substitution method to solve.

[tex]x+(x-5)=25[/tex]                                  [distribute 1 to (x-5)]

[tex]x+x-5=25[/tex]                                     [combine like terms]

[tex]2x-5=25[/tex]                                         [add both sides by 5]

[tex]2x=30[/tex]                                                [divide both sides by 2]

[tex]x=15[/tex]

Now that we have x, we can plug it into any of the equations to find y.

[tex]x+y=25[/tex]                                          [plug in x=15]

[tex]15+y=25[/tex]                                         [subtract both sides by 15]

[tex]y=10[/tex]

Finally, we have our answer, x=15 and y=10.

Answer:25,-5

Step-by-step explanation: