For which value of 0 is cot (0) undefined?
90°
180°
270°
450°

Answer:

Mean = 52.09

The range is 88

Variance = 433. 44

Standard Deviation= s= 20.82

Step-by-step explanation:

The mean is obtained by adding all the values and dividing the number values .

Mean = 37+ 8 +65+ 76 +21 +96+ 46 +19 +75+ 72+ 58+ 84/12

Mean = 573/11 = 52.09

The mean gives the average value .

Range is the difference between the highest and smallest value. The highest value is 96 and lowest value is 8

96 - 8 = 88

The range is 88.

The range gives an idea of the spread of values between two points.

The variance can be calculated by

∑x²=  1369+ 64+ 4225+ 5776+ 441+ 9216+ 2116+ 361+  5625+ 5184+ 3364=  37741

S²= ∑x²/n - ( ∑x/n)²

   =    ∑37741/ 11 - (52.09)²

      = 3431 - 2997.56 = 433. 44

Standard deviation is the square root of the variance

s= √433. 44= 20.82

The large value of standard deviation implies that the observations are scattered widely about the mean. A smaller value indicates that the observations in data set are close to mean.

Answer:

C. 3

Step-by-step explanation:

C&D, A&F, K&J

The pairs of points are reflections across the x-axis will be 3. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.

Therefore, the pairs of points that are reflections across the x-axis will be 3.

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Answer:

f(x)=2(x+7)^2-103

Step-by-step explanation:

[tex]f(x)=2x^{2} +28x-5\\=2(x^2+14x)-5\\=2(x^2+2(7)x+7^2-7^2)-5\\=2(x+7)^2-2(49)-5\\=2(x+7)^2-103[/tex]

Answer: B. f(x) = 2(x + 7)² - 103

Step-by-step explanation:

[tex]y=2x^2+28x-5\\\\\\y+5=2x^2+28x\\\\\\y+5=2(x^2+14x+\underline{\quad}\ )\\.\qquad \qquad \qquad \ \ \downarrow\\.\qquad \qquad \qquad \bigg(\dfrac{14}{2}\bigg)^2=7^2 \\\\\\y + 5 + 2(7)^2=2(x^2+14x+\underline{7^2} )\\\\\\y + 5 + 98 = 2(x + 7)^2\\\\\\y+103=2(x+7)^2\\\\\\y=2(x+7)^2-103[/tex]

Answer:

37.5

Step-by-step explanation:

0.1  pound for one batch of cookies

3.75 pound for  x  batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

Answer:

Let x be the original number.  Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)

1)1.8*0.6x= 1.08x (greater than the original)

2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)

3)x+25-30 = x-5 (less than original)

4)0.5*2x=x (same as original)

5)1.2*.75x=.9x (less than original)

Hope it helps <3

Greater than the original.

Same as the original.

Less than the original.

Same as the original.

Less than the original.

To check all the scenarios, let's say that the original value is 100.

An 80% increase followed by a 40% decrease:

100 * (1 + 0.8) = 100 * 1.8 = 180.

180 * (1 - 0.4) = 180 * 0.6 = 108.

It is greater than the original.

A 33 1/3% decrease followed by a 50% increase:

100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.

66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.

It is the same as the original.

A $25 increase followed by a $30 decrease:

100 + 25 = 125.

125 - 30 = 95.

It is less than the original.

A 50% decrease followed by a 100% increase:

100 * (1 - 0.5) = 100 * 0.5 = 50.

50 * (1 + 1) = 50 * 2 = 100.

It is the same as the original.

A 20% increase followed by a 25% decrease:

100 * (1 + 0.2) = 100 * 1.2 = 120.

120 * (1 - 0.25) = 120 * 0.75 = 90.

It is less than the original.

Answer:

Yes, No, Yes

Step-by-step explanation:

Yes for m/s which is meters per second.

No for min/ft which is reversed and should be feet per minute.

Yes for km/h which is kilometers per hour.

The correct unit for speed is distance per time.

Answer:

MPH

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

12 total and 3 whites

there is 10 11 and 12.

Answer:

its answer is a not b

As in Formula

A=3.14*r^2

A =144pift^2

Answer:

144π square feet

Step-by-step explanation:

The garden is shaped like a circle.

To find the area of it we can use the formula of area of a circle.

The formula for area of a circle is:

πr^2

Plug our values in.

π(12)^2

144π

The area of the garden is 144πft^2

8÷7=z and z is the answer you got when you divided,that's how I understand the question

Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns =  $18.75

in  (26 + 13/60) hours Frieda earns =  $18.75((26 + 13/60)) = 487.5 + 4.06

in  (26 + 13/60) hours Frieda earns = $491.56  (Answer)

Answer:

B

Step-by-step explanation:

Sorry this is late

Answer:

Susan has 8 numbers belonging to just one list.

Step-by-step explanation:

Susan's 3 lists have 10 numbers each = 10 x 3 =  30 numbers

4 numbers appear on all three lists = 4 x 3 = 12 numbers

The remaining numbers after these 12 = 18 (30 -12)

Then, there are 5 numbers on 2 lists only = 5 x 2 = 10 numbers

The numbers on just one list = 18 - 10 = 8 numbers

Or

                                    List 1     List 2    List 3   Total

Numbers on each list    10           10         10      30

Numbers on 3 lists        -4           -4         -4        12

Numbers on 2 lists        -5           -5        -0        10

Numbers on 1 list only    1             1          6         8

Answer:

a) 0

b) 1

c) 0

Step-by-step explanation:

These are common values from the unit circle but you could also just check with your calculator. Just be sure to set it to degree mode and not radian mode.

Answer:

A) y = 3x - 1.

B) y = -1/5x + 10.

C) y = -3x + 6.

Step-by-step explanation:

A) It is parallel, so it will have the same slope of 3. The y-intercept is -1.

So, we have y = 3x - 1.

B) It is perpendicular, so it will have the negative reciprocal slope of -1/5.

To find the y-intercept, put the points into the equation.

8 = -1/5(10) + b

8 = -2 + b

b - 2 = 8

b = 10

So, we have y = -1/5x + 10.

C) It is perpendicular, so the slope will have a negative reciprocal of -3. The x-intercept is 2, so it has a point at (2, 0). We put that into the equation.

0 = -3 * 2 + b

0 = -6 + b

b - 6 = 0

b = 6

So, we have y = -3x + 6.

Hope this helps!

Answer:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = 3x + 5

Comparing with the above formula

Slope / m = 3

y intercept = - 1

Since the lines are parallel their slope are also the same

Substituting the values into the formula

We have the final answer as

y = 5x - 1

Slope / m = 5

Since the lines are perpendicular the slope of the line is the negative inverse of the original line

That's

m = - 1/5

Equation of the line using point (10, 8) is

y - 8 = -1/5( x - 10)

y - 8 = -1/5x + 2

The final answer is

y = ⅓x + 4

Slope / m = ⅓

Since the lines are perpendicular the slope of the line is the negative inverse of the original line

That's

m = - 3

Equation of the line using point (2,0) is

y - 0 = -3( x - 2)

We have the final answer as

Hope this helps you

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)​

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)​

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

Answer:

20x^2 - 33x - 27

Step-by-step explanation:

Answer:

The second and fourth statements are correct.

Step-by-step explanation:

We are given the function for the graph of:

[tex]y=-(x-0.5)^2+9[/tex]

Note that this is a quadratic function in its vertex form, given by:

[tex]y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Rewriting our given equation yields:
[tex]\displaystyle y = (-1)(x-(0.5))^2 + (9)[/tex]

Therefore, a = -1, h = 0.5, and k = 9.

Therefore, the vertex of the graph is at (0.5 ,9).

Because the leading coefficient is negative, the parabola opens downwards.

Therefore, the parabola has a maximum value.

In conclusion, the second and fourth statements are correct.

1. the vertex is (0.5, 9)

2. it has a maximum.

Answer:

21 unit square

Step-by-step explanation:

First you want to find the length and width of the rectangle using the distance formula:

d=√(x2-x1)²+(y2-y1)²

AB=√(6-3)²+ (-2 - -2)²

AB=√3² + 0

AB=√9

AB=3

BC=√(6-6)²+ (5 - -2)²

BC=√0 + 7²

BC=√49

BC=7

We can find the area by multiplying these two distances together:

A=(3)(7)

A=21 units square.

Hope it helped...... And plz mark BRAINLIEST

Tysm

Answer: 140 degrees

Step-by-step explanation:

Because m2 is perpendicular to l1, the bottom angle made from m2 and l1 is a right angle = 90 degrees.  The angle vertical to 1 = 50 degrees.  Thus, the angle made from both of these is equal to 140 degrees.  Because l1 is parallel to l2, <2 is congruent to this angle, and thus equals 140 degrees.  

Wow, that would be much easier if the angles were labeled.

Hope it helps <3

Answer:

angle = 140 degrees

Step-by-step explanation:

Given:

All lines coplannar.

L1 || L2

m2 perpendicular to L1

angle 1 = 50 degrees

Solution

Refer to attached diagram

angle 4 = 90 degrees    ........... given

angle 3 = 180 - angle 4 - angle 1 = 180 - 90 - 50 = 40 degrees  .... angles on a line

angle 2 + angle 3 = 180 degrees  ............. sum interior angles between parallel lines L1 and L2

=>

angle 2 = 180 - angle 3 = 180 - 40 = 140 degrees.

Answer:

The shape formed is trapezium

Step-by-step explanation:

Diagonal BD point of intersection with the y-axis = (0, 9) ,

Point of intersection of diagonal BD with the x-axis = (1.2, 0)

Diagonal AC point of intersection with the y-axis = (2, 0),  

Point of intersection of diagonal AC with the x-axis = (0, 1)

Length of segment DC = 10.99 ≈ 11

Length of segment AB = 6.04

Length of segment DA = 5.13

Length of segment CA = 6.38

The perimeter of the formed trapezium = 11 + 5.13 + 6.38 + 6.04 = 28.55

The area of the trapezium = 1/2*(sum of parallel sides)*distance between the parallel sides

The parallel sides are DC and AB

The area of the trapezium = 1/2*(6.04+11)*5 = 42.6 unit.

Answer: The concentration of the mixture is 0.5 p % .

Step-by-step explanation:

Given: 5 gallons of p% boric acid is mixed with 5 gallons of water.

Amount of boric acid = p% of 5 gallons

[tex]=\dfrac{p}{100}\times5\text{ gallons}= 0.05p\text{ gallons}[/tex]

Total solution : 5 +5 = 10 gallons

then, the concentration of the mixture = [tex]\dfrac{\text{Amount of boric acid in solution}}{\text{Total solution}}\times100[/tex]

[tex]=\dfrac{0.05p}{10}\times100\\\\=0.5p[/tex]

Hence, the concentration of the mixture is 0.5 p % .

Answer:

0.5p% is the answer

Answer:

Step-by-step explanation:

From the given information:

the null and alternative hypotheses in symbolic form for this claim can be computed as:

[tex]H_o:\mu = 18 \\ \\ H_a : \mu > 18[/tex]

Mean = [tex]\dfrac{18.5+18.2+20+21.3+17.9+17.9+18.1+17.5+20+18}{10}[/tex]

Mean = 18.74

Standard deviation  [tex]\sigma = \sqrt{\dfrac{\sum(x_i - \mu)^2}{N}}[/tex]

Standard deviation  [tex]\sigma = \sqrt{\dfrac{(18.5 - 18.74)^2+(18.2 - 18.74)^2+(20 - 18.74)^2+...+(18 - 18.74)^2}{10}}[/tex]

Standard deviation [tex]\sigma[/tex]   = 1.18

The test statistics can be computed as follows:

[tex]Z= \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z= \dfrac{18.6- 18}{\dfrac{1.18}{\sqrt{10}}}[/tex]

[tex]Z= \dfrac{0.6}{\dfrac{1.18}{3.162}}[/tex]

Z = 1.6078

Z = 1.61

Degree of freedom = n -1

Degree of freedom = 10 -1

Degree of freedom = 9

Using t - calculator at Z = 1.6078 and df = 9

The P - value = 0.0712

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

Answer:

x = 0.

Step-by-step explanation:

4x = 3x

4x - 3x = 0

x = 0

Hope this helps!

The best interpretation of the given equation is x = 0

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, Kate begins solving the (6x – 3) = (6x – 4). Her work is correct and is shown below. (6x – 3) = (6x – 4)

4x – 2 = 3x – 2 When she adds 2 to both sides, the equation becomes 4x = 3x

After performing the operations, we get,

4x = 3x

This is only possible when x = 0

Hence, the best interpretation of the given equation is x = 0

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Answer:

Step-by-step explanation:

4 solids cubes A, B, C and D have been made with the same material.

Since material is same density of the material (grams per cm³) will be same.

It shows that the weight of the cubes will vary in the ratio of their volumes.

Volume of cube A = 6³ = 216 cm³

Volume of cube B = 8³ = 512 cm³

Volume of cube C = 10³ = 1000 cm³

Volume of cube D = 12³ = 1728 cm³

Therefore, weights of these cubes will be in the same proportion.

Since, Volume of D = Volume of (A + B + C)

1728 = (216 + 512 + 1000)

1728 = 1728

Therefore, weights of A, B, C, D will be arranged in the same way to balance the plates of a scale.

On one side of the scale cubes A, B, and C should be placed and on the the other side of the scale cube D should be placed to balance the scale.

Answer:

[tex] (0, 8\sqrt{3}) [/tex]  and  [tex] (0, -8\sqrt{3}) [/tex] are both 14 units from points (-2, 0) and (2, 0).

Step-by-step explanation:

distance formula

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

We want the distance, d, from points (-2, 0) and (2, 0) to be 14.

Point (-2, 0):

[tex] 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} [/tex]

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

Point (2, 0):

[tex] 14 = \sqrt{(x - 2)^2 + (y - 0)^2} [/tex]

[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]

We have a system of equations:

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]

Since the right sides of both equations are equal, we set the left sides equal.

[tex] \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} [/tex]

Square both sides:

[tex] (x + 2)^2 + y^2 = (x - 2)^2 + y^2 [/tex]

Square the binomials and combine like terms.

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

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

[tex] 8x = 0 [/tex]

[tex] x = 0 [/tex]

Now we substitute x = 0 in the first equation of the system of equations:

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{(0 + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{4 + y^2} = 14 [/tex]

Square both sides.

[tex] y^2 + 4 = 196 [/tex]

[tex] y^2 = 192 [/tex]

[tex] y = \pm \sqrt{192} [/tex]

[tex] y = \pm \sqrt{64 \times 3} [/tex]

[tex] y = \pm 8\sqrt{3} [/tex]

The points are:

[tex] (0, 8\sqrt{3}) [/tex]  and  [tex] (0, -8\sqrt{3}) [/tex]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]

On simplifying both the expressions we get:

[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]

Compute the value of both expressions for x = 2 as follows:

[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

Answer:

d

Step-by-step explanation:

Answer:

It will take 1 hour and they will have 11 baskets

Step-by-step explanation:

Dave

6 + 5h = b

Emily

9 + 2h=b

where h = hours  and b = baskets

Setting the equations equal to each other

6+5h = 9+2h

Subtracting 2h from each side

6+3h = 9

Subtracting 6 from each side

3h = 3

Divide by 3

h =1

Then finding b

9+2h = b

9+2 =b

11=b

It will take 1 hour and they will have 11 baskets

Answer:

43

Step-by-step explanation:

Answer:

initial investment in the account is 5500.

Step by step Explanation:

exponential growth model provide details of what happens when the same number is multiplied over and over again, it's applications can be found in economics and science generally.

Exponential models gives situations when the rate of change of a particular thing is directly proportional to how much of that thing is.

the given equation becomes A = 5500 * e^(0.065* T)

But an exponential growth equation can be expressed in this form F = P * e^(RT)

Where F = the future value

P = the present or initial value

R = interest rate per time period

T = number of time periods

From the given equation in the question, we can see that

F = A which is the future value

P = 5500 which is the present or initial value.

R = 0.065 which is interest rate per time period

Therefore, your initial investment in the account is 5500.

Answer:

C: F(x)=x^2-0.5

Step-by-step explanation:

When the x is squared it's a parabola. A linear graph is shaped like a straight line, while a parabola is curved inward. I have included a graph of what that function would look like (tap/click on it to see the full graph.)

Answer:

Step-by-step explanation:

The grsaph of the linear function is a straight line.

The equation of a line in the slope-intercept fomr is:

y = mx + b

where

m - slope

b - y-intercept

We have:

A: f(x) = x + 0.5

it's a linear function: m = 1, b = 0.5

B: f(x) = -x + 0.5

it's a linear function: m = -1, b = 0.5

C: f(x) = x² - 0.5

it's not a linear function because in the equation is square of x (x²).

The graph of this function is a parabola.

D: f(x) = 0.5x

it's a linear function: m = 0.5, b = 0