What is the area of a sector when 0=90° and r= 8/3?

Answer:

50

Step-by-step explanation:

Complementary angles mean that the sum of the angles given is 90°. Therefore, as G and H are complementary, this means that G+H=90

G+H=90

(2x+10) + (x+20) = 90

Add values on left side

3x+30=90

Subtract 30 from both sides

3x=60

Divide both sides by 3

x=20

Since we now know the value of x, we can plug that in to G (2x+10) to get 2(20)+10 = 50 = G

Answer:

$84

Step-by-step explanation:

63÷3=21

63+21=84

Hope this helps! :)

Answer:

1-90

2-80

3-033

Step-by-step explanation:

Answer:

V = 64 in^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 in^3

Answer:

64

Step-by-step explanation:

volume of a cube formula: V = a^3

a is just one of the edges

[tex]4^{3}[/tex] = 64 = V

:)

Answer:

The non-negative zero of the function f(x) is x = 2.

Step-by-step explanation:

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

[tex]x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4*6*(-6)} }{2*6} = \frac{9 \pm 15 }{12}[/tex]

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

Answer:

Are you talking about the are of a 3d cube? then it would be 156.06 because you take the length times width to get the area of one side then multiply it by 6 to gets all the sides.

Your Answer is in the above image.

A quadratic function's graph being wide or narrow is determined or depended on a-term:

[tex] \large{y = a {x}^{2} + bx + c}[/tex]

If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.

Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.

From the question, it is clear that the parabola y = 2x^2 is the narrowest graph since it has the highest |a| value out of all choices.

Answer

Answer:

Step-by-step explanation:

Hope this helps

Answer:

1/8

Step-by-step explanation:

Hope this helps you! <33

Answer:

1/8

Step-by-step explanation:

We all know 1/2 is 0.5, right?

If you split that in half again, you get 0.25 as 1/4.

If you divide that again by two, you get 1/8 as 0.125

Step-by-step explanation:

sum of 5 times a number and -2, + 8n

becomes:

5n + (-2) + 8n, or

5n -2 +8n, or. 13n - 2

Answer:

show the graphs?

Step-by-step explanation:

9514 1404 393

Answer:

  (a) The decrease in the value of the truck, which is 12%

Step-by-step explanation:

The only reasonable choice among the offered answers is the one shown above.

__

We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.

Part (a)

1 meter = 100 cm

25 meters = 2500 cm .... multiply both sides by 25

Divide the 2500 cm over the 53 cm to get 2500/53 = 47.1698

Ignore the stuff after the decimal point. This means we can cut exactly 47 smaller bits of string, each 53 cm long

====================================================

Part (b)

We found that we can cut exactly 47 smaller bits of string, each 53 cm long. That takes up 47*53 = 2491 cm overall

The leftovers would be 2500 - 2491 = 9 cm which isn't longer than 53 cm

Convert 9 cm to mm by multiplying by 10 (because 1 cm = 10 mm).

9 cm = 90 mm

Answer:

To find the estimated value we add all of them together then divide it by the amount of them

45.8+43.9+46.2+48.5+47.2+45.8+49.1+43.9+47.6+42.8+46.5+44.9+46.8+45.8 +44.6=689.4

now we divide it by 15 since there is 15 blocks so

689.4 divided by 15=45.96

so the average weight is 45.96

Answer:

3/8

Step-by-step explanation:

Both measurements should be in same measure.So convert m to cm

2.4m = 2.4 * 100 = 240.0 = 240 cm

[tex]\frac{90}{240}=\frac{9}{24}=\frac{3}{8}[/tex]

Answer:

1/24

Step-by-step explanation:

13/6x = 52

1/6x = 52/13

1/6x = 4

1 = 4(6x)

1 = 24x

24x = 1

x = 1/24

Answer:

I am pretty sure that it's the second one

Solution :

a).

Given :

R = 0.636, [tex]$S_x = 99$[/tex], [tex]$S_y=113, M_x=108, M_y=129$[/tex]

Here R = correlation between the two variables

        [tex]$S_x , S_y$[/tex] =  sample standard deviations of the distance and travel time between the two train stops, respectively.

      [tex]$M_x, M_y$[/tex] = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, [tex]b_1[/tex]  [tex]$=R \times \left(\frac{S_y}{S_x}\right)$[/tex]

                            [tex]$=0.636 \times \left(\frac{113}{99}\right)$[/tex]

                            = 0.726

Therefore, the slope of the regression line [tex]b_1[/tex] is 0.726

The equation of the regression line is given by :

[tex]$\overline {y} = b_0+b_1 \overline x$[/tex]

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line [tex]$b_0$[/tex] is given by :

[tex]$b_0=M_y-(b_1 \times M_x)$[/tex]

  = 129 - (0.726 x 108)

  = 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b).[tex]\text{ The slope of the line predicts that it will require 0.726 minutes}[/tex] for each additional mile travelled.

The intercept of the line, [tex]$b_0$[/tex] = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because  it seems we have travelled zero  distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). [tex]$R^2=0.404$[/tex]

This means that the model accounts for around 40.4% variation in the travel time.

Answer:

1.d. None of these measures  (do not exist interpreted as all of these exist)

2.The mean is increased from 346.8 to 361.32

Step-by-step explanation:

After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .

The mean is 346.8

The mode is 281

The median is 316

Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169.  The mean would be affected by the change.

The mean is 361.32

The mode is 281

The median is 316

The mean is increased from 346.8 to 361.32

Answer:

y = 2x + 1

Step-by-step explanation:

the line passes (0, 1) and (2, 5)

the slope = (5-1)/(2-0) = 4/2 = 2

the equation :

y - 1 = 2( x -0)

y-1 = 2x

=> y = 2x + 1

Answer:

The limit is 0, and the answer is given by option E.

Step-by-step explanation:

Limit to the right:

The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.

In this question:

Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.

Answer:

y =x+1

Step-by-step explanation:

The y intercept is 1

The slope is positive

We go up 1 and to the right 1

y = mx+b  where m is the slope and b is the y intercept

y = 1x+1

y =x+1

Answer:

The correct answer is "168 students".

Step-by-step explanation:

According to the question,

Graduation probability,

[tex]P_g=\frac{1}{4}[/tex]

Major probability,

[tex]P_m=\frac{1}{21}[/tex]

Now,

The probability of having both graduation as well as major will be:

= [tex]\frac{1}{4}\times \frac{1}{21}[/tex]

= [tex]\frac{1}{84}[/tex]

hence,

The number of students having guarantee two graduations throughout the same year and major will be:

⇒ [tex]\frac{x}{84}=2[/tex]

By applying cross-multiplication, we get

⇒ [tex]x = 84\times 2[/tex]

⇒    [tex]=168[/tex]

Answer:

27 xy^2

Step-by-step explanation:

(3xy) (9y)

Multiply

3*9 =27

xy*y = xy^2

Combine

27 xy^2

Answer:

(A.)

21% selected health care as the sector most likely to lead the market in the next 12 months.

47% of managers classified themselves as bullish or very bullish on the stock market.

(B.)

The average return expected on equities over the next 12 months for equities was 11.2% for the population of investment managers.

(C.)

The length of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.

Step-by-step explanation:

Descriptive statistics gives a quantitative evaluation of particular scenario or information.

Here, the percentage of people who selected health care to lead the market in the next 12 months and the the percentage of managers who classified themselves as bullish or very bullish are examples of descriptive statistics.

The inference Given in the problem is about all investment managers, which is the population mean.

And the lengtb of time it will take for technology and telecom stocks to resume sustainable growth is estimated to be about 2.5 years by investment managers.

I dont think I can be answered with just the given info... is some of the q missing still?

Closest we can do with above is dress cost = 120+ c