The satellite Space Explorer flies 82800 miles in 18 hours. Find the rate of change.

The given conditions to find the values of all six trigonometric functions is cos (x) =-5/9, sin (x) = 2 root(14)/9, tan(x)= - 2 root(14)/5 and cot(x)= - 5 (2 root 14), csc(x)= 9 /2root (14).

What is trigonometric functions ?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle.

[tex]$\sec (x)=-\frac{9}{5} < 0$[/tex]and [tex]$\tan (x) < 0$[/tex]

so, x is in the second quadrant.

So, [tex]$\cot (x), \cos (x)$[/tex]are negative and [tex]$\sin (x), \csc (x)$[/tex] are positive.

Hence,

[tex]$$\begin{aligned}\cos (x) & =\frac{1}{\sec (x)}=-\frac{5}{9} \\\sin (x) & =\sqrt{1-\cos ^2(x)}=\sqrt{1-\frac{25}{81}}=\frac{2 \sqrt{14}}{9} \\\tan (x) & =\frac{\sin (x)}{\cos (x)} \\& =-\frac{2 \sqrt{14}}{5} \\\cot (x) & =\frac{1}{\tan (x)}=-\frac{5}{2 \sqrt{14}} \\\csc (x) & =\frac{1}{\sin (x)}=\frac{9}{2 \sqrt{14}}\end{aligned}$$[/tex]

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[tex]x\div 32 > 1\implies \cfrac{x}{32} > 1\implies 32\left( \cfrac{x}{32} \right) > 32(1)\implies x > 32[/tex]

and that can be any value, so long is greater than that, 33 will do, but so does 1,000,000, and so on.

Answer:  and that can be any value, so long is greater than that, 33 will do, but so does 1,000,000, and so on.

Step-by-step explanation:and that can be any value, so long is greater than that, 33 will do, but so does 1,000,000, and so on.

and that can be any value, so long is greater than that, 33 will do, but so does 1,000,000, and so on.

The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

What are the coordinates?

Any one of a group of numbers used to describe where a point is on a line, a surface, or in space coordinates of latitude and longitude

Here, we have

If the following data were transformed and points with coordinates (x, log(y)) were plotted then we have to find what points would be plotted.

From the table:

At x = 2 and y = 49 ⇒ (x,log(y)) = ( 2 , log 49 ) =  (2, 1.690)

At x = 3 and y = 343 ⇒(x,log(y)) = ( 3 , log 343) =  (3, 2.535)

At x = 4 and y = 2401 ⇒(x,log(y)) = ( 4 , log 2401) =(4, 3.380)

Hence, The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

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The value of s from the proportion s : t : u = 4 : 9 : 3 is s = 20

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the proportion be in the form s : t : u

where the value of the proportion is

s : t : u = 4 : 9 : 3

And , t - u = 30

Now , assume the value of s = 4x

where x is the unknown we have to calculate

So , the value of t = 9x

And , the value of u = 3x

From the equation , t - u = 30

Substitute the value of t and u in the equation , we get

9x - 3x = 30

6x = 30

Divide by 6 on both sides of the equation , we get

x = 5

Therefore , the value of x is 5

Now , substituting the value of x in the above equation , we get

s = 4x

s = 4 x 5

s = 20

Therefore , the value of s from the proportion is 20

Hence , The value of s from the proportion s : t : u = 4 : 9 : 3 is s = 20

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a) After 10 years, the amount (future value) in the mutual fund will be $27,679.22.

b) The total amount deposited in the mutual fund is $23,000.

c) The amount of interest earned on the quarterly deposits is $4,679.22.

The future value is the compounded present value of periodic deposits.

The future value is compounded at an interest rate per period.

We can compute the future value using an online finance calculator, which also shows the total deposits and interest earned.

N (# of periods) = 40 quarters (10 years x 4)

I/Y (Interest per year) = 3.7%

PV (Present Value) = $0

PMT (Periodic Payment) = $575

Results:

Future Value (FV) = $27,679.22

Sum of all periodic payments = $23,000 ($575 x 40 quarters)

Total Interest = $4,679.22

Thus, making a quarterly deposit of $575 for 10 years at 3.7% APR will yield a future value of $27,679.22.

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n=1422 is the sample that would be required in order to estimate the mean per capita income at the 99 % level of confidence with an error of at most $0.39.

The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The parameter's true value, for instance, should be present in 95% of all intervals computed at the 95% level. The range of values within the 95% confidence interval represents the population's actual mean, with 95% confidence. The sample mean (the center of the CI) will differ between samples due to natural sampling variability. The process itself, not a certain CI, is what inspires confidence. According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, hence to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

At 99% confidence interval the critical value is [tex]z_{0.005}[/tex]=2.58

Margin of error=0.39

Or, [tex]z_{0.005}[/tex](σ/√n)=0.39

Or, 2.58(5.7/√n)=0.39

Or, n=(2.58×(5.7/0.39)²

Or, n=1422

n=1422 is the sample that would be required in order to estimate the mean per capita income at the 99 % level of confidence with an error of at most $0.39.

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Answer:

25

Step-by-step explanation:

32/100=8/x

cross multiply

32x=100(8)

32x=800

/32. /32

x=25

hopes this helps please mark brainliest

The pressure of 28 inches of mercury occurs about 6 miles from the eye of hurricane.

A function having the formula f(x) = ax' + b is said to be linear.

It appears to be a standard linear equation, except the linear function symbol is f rather than y. (x).

You would be given the value of f(x) and asked to locate x when solving a linear function.

F(x) is the barometric air pressure in inches of mercury.

x is the distance in miles from the eye of a severe hurricane.

It is given pressure 28inches of mercury

Put F(x) equal to 28

F(x) = 0.48ln(x+2) +27

28 = 0.48ln(x+2)+ 27

28-27= 0.48ln(x+2)

1= 0.48ln(x+2)

1/0.48= ㏑(x+2)

25/12= ㏑(x+2)

x+2= e^(25/12)

x+2=8.03119

x=8.03119-2

x= 6.03119

x = 6(round off)

Therefore, for 28 inches of mercury occurs about 6 miles from the eye of hurricane.

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The total weight of the carton after packing the apples is 29.825 kg.

Empty carton: 8.350 kg

Apples: 21.475 kg

Since we are placing the apples inside the empty carton, now the carton will also contain the weight of the apples, additional to its own weight.

8.350 kg + 21.475 kg= 29.825 kg.

The total weight of the carton after packing the apples is 29.825 kg.

The difference between 246 and 31 tripled is

The problem is solved using subtraction

the term difference is similar to subtraction in mathematics

Then tripling is raise to power 3 or exponents of 3, hence after subtraction then exponents is applied to the end result of subtraction to give the answer

The subtraction

= 246 - 31

= 215

The exponents

= 215³

= 215 * 215 * 215

= 9938375

'

On the second thought, we have a different answer in this case

= 246 - 31³

= 346 - 31 * 31 * 31

= -29545

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Volume = 201 cm

Here is an equation to help you find the volume of a cone:

V=πr²[tex]\frac{h}{3}[/tex]=π·4²·[tex]\frac{12}{3}[/tex] ≈ 201.06193cm³

This equation is what I used to solve your question. The answer is 201.06193, but is says round to the nearest whole number, so the answer is actually 201 cm.

In the equation:

V means Volume

π means Pi (3.14)

r² means radius squared

[tex]\frac{h}{3}[/tex] means height divided by 3

4² means 4 · 4

[tex]\frac{12}3}[/tex] means 12 ÷ 3

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Since the formula for P only applies to positive z, the minus sign must be removed if z is negative.We change 1.96 to 1.65 for a CI of 90%, and we use 2.57 for a CI of 99%.

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If you make the minimum payment on your card within the 25-day period, the credit card company will not charge you interest. Option D is correct.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the statment, "Your due date is at least 25 days after the end of the billing cycle. We will not charge you interest on new purchases provided that you have paid your previous balance in full by the due date each month"
Since al the option are wrong except option D

Option D is true. because the statement mentioned the same statement as mentioned in the given statment.

Thus, Option D is correct.

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There are 60 professors and 168 lecturers according to the given information.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main BODY:

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

Y = 1140 / 19

Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

Hence thre are 60 professors and 168 lecturers.

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Answer:

See below!

Step-by-step explanation:

From the statement, we get:

108 + x = 180

Subtract 108 to both sides

x = 180 - 108

Also,

y + 88 = 180

Subtract 88 to both sides

y = 180 - 88

[tex]\rule[225]{225}{2}[/tex]

Answer:

X= 72

y= 92

Step-by-step explanation:

108 + x = 180

x = 180 - 108

x = 72°

y + 88 = 180

y = 180 - 88

y = 92

The ingredients for 4 brownies would be: 1/2 cup butter, 15/4 ounces unsweetened chocolate, 9/8 cup sugar, 3 teaspoons vanilla, 3 eggs, and 3/4 cup flour.

A percentage is a component of a total amount, and the measures are related by the rule of three.

Keep in mind that in a particular ratio, such as: a/b=c/d a*d=b*c

Create the following ratio for each ingredient:1/8 cup butter, 5/8 ounces of unsweetened chocolate, 1/4 cup sugar, 1/8 teaspoon vanilla, 1/2 egg, and 3/16 cup flour.

Explanation:

Given that the original recipe calls for 16 brownies;

Butter:

(1/8)/16=b/12

(2/3)(12)=16b

8=16b

b=1/2

Chocolate:

5/16=c/12

60=16c

c=60/16

c=15/4

Sugar: (3/2)/16=s/12

(3/2)(12)=16s

18=16s

s=18/16

s=9/8

Vanilla: 2/16=v/12

24=16v

v=3/2

Eggs: 2/16=e/12

e=3/2

Flour:1/16=f/12

f=3/4

As a result, the following would be the components for four brownies,

3/4 cups flour, 1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, and 3/2 eggs.

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Answer: 2640

Steps:

There are different ways you can solve this

METHOD 1

1. Find what 4% of 22,000 is

0.04 × 22,000 = 880

You do this so that you can find out the increase from the original number of people in the city

2. Find out what 3 years of increase is

880 = 1 year's worth of increase

880 × 3 = 3 year's worth of increase

2640 = 3 year's worth of increase

Therefore the population increase is 2640 ( 12% )

METHOD 2

1. Find out what 12% of 22,000 is

4% = 0.04

12% = 3 × 0.04

12% = 0.12

12% of 22,000 = 0.12 × 22000

12% of 22,000 = 2640

Therefore the population increase is 2640 ( 12% )

Answer:

Step-by-step explanation:

There are 160 ways to fill the four committee positions.

What is Combination?

Faculty members can be selected in A = 2 ways

Male student can be selected in B= 4 ways

Female student can be selected in C = 4 ways

One parent can be selected in D = 5 ways.

Total number of ways to select committee of four = A*B*C*D

= 2* 4 * 4 * 5

= 160 Ways

Hence, there are 160 ways to fill the four committee positions.

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Answer:

90

Step-by-step explanation:

To solve, you have to use the formula

I=Prt

I is the dollars of of simple interest earned

P is principal in dollars

R is the annual interest rate (decimal form)

T is the time in years

I=Prt

I =300*0.05*6

I = 90

Answer:

we use bodmas!

Step-by-step explanation:

Answer:

89 m

Step-by-step explanation:

p/2 = 376/2 = 188 m

l + a = 188

a = 188 - l

a = 188 - 99

a = 89 m

Step-by-step explanation:

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

x^2=3

The solution of the equation given is:

X=√3

The squares of the integers numbers until the square root of 3 are:

1^2=1

2^2=4

Since , the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

The volume of water that runs off the Shoppes at Fremont parking lot after a 5 cm rainfall event is [tex]1000m^{3}[/tex].

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

Volume is sometimes referred to as capacity. For instance, a cylindrical jar's volume can be used to calculate how much water it can hold.

Basically, the volume of a liquid is measured in liters, where 1 liter is equal to 1000 cubic centimeters.

1 liter = 1000 cubic centimeters = 0.001 cubic meters

Hence,

1 cubic meters = 1000 liters

Given,

[200m x 100m = [tex]20000m^{2}[/tex]]

[5cm x 1m/ 100cm = 0.05m]

20,000m2 x 0.05m = [tex]1000m^{3}[/tex]

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Hence, the equation for the question (7) is [tex]n + 19 = 84[/tex] and equation for (8) is [tex]3n = 12[/tex]. It can be solved by linear equation in one variable.

What is a linear equation in one variable?

A linear equation in one variable is written as [tex]ax+b = 0[/tex]. Here, [tex]a[/tex] and [tex]b[/tex] are constants and [tex]x[/tex] is a variable.

(7)

Consider n number of baseball cards does Mike have. Since this is 19 less then the cards Allan have hence, as you add 19 in n then it will give 84.

[tex]n + 19 = 84[/tex]

(8)

Consider the speed of Michelle is n. As, it is 3 times less than the speed of the Jamie hence, it you multiply 3 with n then it will give 12.

    [tex]3n = 12[/tex]

Hence, the equation for the question (7) is [tex]n + 19 = 84[/tex] and equation for (8) is [tex]3n = 12[/tex].

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Answer:

If one of the answers is 5 hours and 50 minutes, that. If its 7 hours and 30 minutes, that. In between is 6 hours and 40 minutes.

Step-by-step explanation:

Answer:

hola

Step-by-step explanation:

Answer: You say Hola

Step-by-step explanation:

Which sounds like (Ohw·laa)  = This means Hi or Hello

The required graph is as follows.

The graph of an equation in x and y is the value of y for the

corresponding value of x.

Given,

y = -x - 2

or x + y = -2

The line cuts x axis when y = 0 and cuts y axis when x = 0.

Therefore, the line cuts x axis at x = -2

                  the line cuts y axis at y = -2

Hence, required graph is:

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Answer: x= -5

Step-by-step explanation:

2(7+2x) = 3x+9

14+4x=3x+9

isolate x

x=-5