What is the first step to verify that the following identity is true?
Cot^2 x sec x = cos x/ sin^2 x

Answer:

because see a time

Step-by-step explanation:

Answer:

Mean : 66

Mode: 80

Median:70

Step-by-step explanation:

Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66

Mode most occurring, so 80.

Median arrange in ascending order and find middle value, so 70

Answer:

f ( x ) = $1000 - $25*x

( 40 days, $0 )

( 0 days , $1000 )

Step-by-step explanation:

Solution:-

- Every quarter Hannah receives $1000 in her account for meal plan.

- So for a quarter of a year she has $1000 to spend.

- She spends $25 on food each day; hence, an amount of $25 is deducted each day.

- We can mathematically express the amount remaining in her account after ( x ) days as follows:

                    y = f(x) = Initial deposit - (per day deduction)*x

Where,

               y: The amount remaining in Hannah's account after x days.

- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.

                   y= f(x) = $1000 - ($25)*x

- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.

- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:

                    f ( x ) = 1000 - 25x = 0

                    x = 1000 / 25

                    x = 40 days

- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:

                    ( 40 days , $0 )  ... Answer

- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):

                     f ( 0 ) = 1000 - 25*0

                     f ( 0 ) = $1000

- The ordered pair for the y-intercpet would be:

                     ( 0 days , $1000 )   ... Answer  

Answer:

In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.

The correct option has been inserted in the blank and underlined, please see below:

The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.

Hope that answers the question, have a great day!

Answer:

40%

Step-by-step explanation:

If 3/5 = .06 are girls

that means

2/5 = .04  are boys

now

5/5 = 1 are the total children

Finally find the percentage

(.06)(100) = 60% girls

(.04)(100) = 40% boys

Answer: [tex]\$8.62/\text{Pound}[/tex]

Step-by-step explanation:

Given

There is [tex]7\ kg[/tex] of ham available which costs

cost[tex]=\$\ 19/kg[/tex]

i.e.

[tex]1\ kg\ \text{costs}\ \$19[/tex]

and we know

[tex]1\ kg=2.204\ \text{pound}[/tex]

So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]

thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]

Answer:

835,761,853,981

Step-by-step explanation:

To find how long numbers are odd you look at the last number for example 835,5 is an odd number making the rest of the numbers odd.

Hope my explanation helped

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

Answer:

$210

Step-by-step explanation:

do 84/4 to find out money per day which is 21. 21 x 10 = 210

therefore 210 is the answer

Answer:

indeed it is

Step-by-step explanation:

Answer:

D. [tex]d=\frac{C}{\pi }[/tex]

Step-by-step explanation:

C = πd

Answer:

graph b

Step-by-step explanation:

if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function

Answer:

the answer is graph b

Step-by-step explanation:

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]

[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]

(b)Area of the sector

Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]

[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Answer:

Surface area = [tex]2 \pi r^2 = 2 (12)^2 \pi in^2 = 288 \pi in^2[/tex]

Volume =[tex] 2/3 \pi r^3 = 2/3 (12)^3 \pi in^3 = 1152 \pi in^3[/tex]

Answer:

volume = 2/3πr³

2×π×12×12×12

3

1152π

surface area= 2πr²

2×π×12×12

288π

Answer:

[tex]12.56m[/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]

Answer:

this answer is attached to the picture

Answer:

We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.

Step-by-step explanation:

hope it helps ig

Answer:

  y -4 = 3(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m passing through point (h, k) is ...

  y -k = m(x -h)

Your values for these parameters are ...

  m = 3

  (h, k) = (-1, 4)

Filling these into the form gives the equation you're looking for:

  y -4 = 3(x +1)

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

Answer:

B, and D.

Step-by-step explanation:

To calculate all of the possible dimensions, you multiply all of numbers in each letter to get the volume. If the volume in one of the letters equals 4,320 cubic inches, then that letter is one of your answers. For example, if you multiply for letter A, which includes the dimensions 24 in, 32 in, and 13 in, then you would get 9,984, which is not the same as 4,320.

Answer:

37

Step-by-step explanation:

add all and divide

Answer:

$37

Step-by-step explanation:

Add the values in the data set:

40 + 40 + 51 + 32 + 22 = 185

There are 5 values in the data set.

Divide 185 by 5:

185 ÷ 5 = 37

The mean amount that Ryan earned should be $37 dollars.

Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:

15 + |-3| - 4 → 15 + 3 - 4

Remember to follow PEMDAS when solving.

(15 + 3) - 4

18 - 4

14

Therefore, the answer is 14.

Best of Luck!

Answer: 14

Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.

So the absolute value of -3 would be 3.

So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.

Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.

It's a good habit to get into for future problems.

Answer:

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

  (A+C)/2 = (B+D)/2

  D = A + C - B

  D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

  D = (8, -8)

__

The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

_____

Comment on side lengths

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

Answer:

hbbhhhhhggggg

Step-by-step explanation:

vgggggffffff

Answer:

(4, -25)

Vertex form: (h, k)

Answer:

Hey!

Your answer is (4, -25) in the vertex form which is (h,k)

Step-by-step explanation:

HOPE THIS HELPS!!

Answer: They can do 56 different combinations.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

distribution

5(4+3) - 4

20+15-4

=31

Answer:

19

Step-by-step explanation:

5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps

Answer:

Step-by-step explanation:

Corresponding response ratings of wives and husbands form matched pairs.

The data for the test are the differences between the response ratings.

μd = the​ wives response ratings minus their husband's response ratings.

Wives. Husbands diff

2 2 0

2 1 1

3 2 1

3 3 0

4 2 1

2 1 1

1 1 0

1 1 0

2 2 0

4 4 0

Sample mean, xd

= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4

Standard deviation = √(2.4/10

sd = 0.49

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (0.4 - 0)/(0.49/√10)

t = 2.581

3) We would determine the probability value by using the t test calculator.

p = 0.0148

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative