Which equation can be used to prove 1 + tan?(x) = sec2(x)?
cos?(x), sin?(x) =_1
sec?(x) sec (x) sec?(x)
cos?(x), sin?(x) 1
sin?(x) sin?(x) sin?(x)
cos?(x), sin?(x) =_1
tan?(x) tan(x) tan2(x)
O
cos?(X) + sin?(X) - 1
cos(x) cos(x) cos(x)

Answers

Answer 1

Answer: D

Step-by-step explanation:


Related Questions


Angle B and angle C are supplementary If the measure of angle B is 14 times the measure of angle C, what is the difference between
the angles measures
Pls help asap

Answers

Answer:

The difference between the angle measure is 152 degrees

Step-by-step explanation:

Supplementary angles are angles that add up to 180

So if one angle is x in this case, the other will be 14x

Adding both ;

x + 14x = 180

15x = 180

x = 180/15

x = 12

The other angle is 14 * 12 = 168

The difference between the two will be;

168-12 = 156

Plz help me again with this math stuff -_-

Answers

Answer:

152cm^2

Step-by-step explanation:

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?

Answers

Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation:

Write an equation for the nth term of the sequence 12, 5, -2, -9,....

Answers

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

What is a sequence?

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

Learn more about sequence from here:

https://brainly.com/question/21961097

#SPJ2

PLEASE HELP MY MOM IS GOING TO HIT ME IF I DONT GET THIS RIGHT AND I HAVE 10 MINUTES TO FINISH MY TEST

solve the equation for y: 1/4y - 2x = 5

Answers

Answer:

x = (5-(1/4*y))/(-2) why does there have to be 20 characters lol

Answer:

y= 8x+20

Step-by-step explanation:

1/4y= 2x+5

y= 4(2x+5)

y= 8x+20

Will Give Brainliest To First Person!!! :)
What is the rule for exponents in parenthesis? Give an example of how you solve problems with exponents outside of parenthesis

Answers

You solve what is in the parentheses and then add the exponent to that. The number with an exponent was a five in an exponent was to you dude 5×5 which equals 24

Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept

Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb

Answers

Answer:

The probability is 0.0011 to 4 d.p

Step-by-step explanation:

Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45

q is weighing less than = 1-p = 1 - 0.45 = 0.55

So the probability of more than 12 weigh 65 lb

That means 13, 14 or 15 weigh more than 65 lb

We can use Bernoulli approximation of Binomial distribution to get this;

That would be ;

15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0

= 0.001107024147 Which is approximately 0.0011 to 4 decimal place

Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)

Answers

Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

Answers

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

85 is the range i hope this helps

Distribute: 1/2 (6k - 8)

Answers

Answer: 3k -4

Step-by-step explanation: Just multiply 1/2 by both terms in the expression.

From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?

Answers

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

please help me with this i don’t understand much

Answers

Answer:

See below

Step-by-step explanation:

Three lengths will be a triangle only if the sum of two sides is greater than the third side.

[tex]19+11 > 17[/tex]

This is a triangle.

[tex]23+28> 52\\51>52\\51 \ngtr 52[/tex]

This is not a triangle.

[tex]9+25> 34\\34>34\\34\ngtr 34[/tex]

This is not a triangle.

[tex]13+14> 22\\27>22[/tex]

This is a triangle.

the sum of two numbers is 18 their difference is 4

Answers

Answer:

7 and 11

Step-by-step explanation:

an office administrator will be purchasing supplies for an upcoming meeting. She will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each. The supply budget for this meeting is $150. Which inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase?

Answers

Given :

Price per folder = $2.15 .

Price per notebook = $4.60 .

The supply budget for this meeting is $150.

To Find :

Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.

Solution :

Let, number of folders and notebooks is f and n.

So, price of buying f and n number of folders and notebooks are :

P = 2.15f + 4.60n

Now, it is given that P ≤ $150 .

So,

2.15f + 4.60n ≤ 150

Hence, this is the required solution.

[tex]2.15f+2.5n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

Given information:

An office administrator will be purchasing supplies for an upcoming meeting.

Staff will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each.

The supply budget for this meeting is $150.

Let f be the number of folders purchased and n  be the number of notebooks purchased.

Now, the total amount spent on the whole purchase should not be greater than $150 which is the budget of the shopping.

In the form of inequality, the given condition can be written as,

[tex]2.15f+4.6n\leq 150[/tex]

The total amount spent is less than equal to 150.

Therefore, [tex]2.15f+4.6n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

For a graphical representation of the inequality, see the image attached.

For more details, refer to the link:

https://brainly.com/question/18568636

Find the measures of the missing angles

Answers

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

1.

180 - 88 = 92°

5.

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

4.

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

3.

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

2.

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

What is rhe vertex of this parabola ?????? HELP

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

Tiffany is filling her daughter’s pool with water from a hose. She can fill the pool at a rate of 1/10 gallon/seconds.How many gallons of water can she fill in 50 seconds

Answers

Answer:

5 gallons

Step-by-step explanation:

If she can do 1/10 gallon per seconds, that means she can do 5/50.

You can write it as this ratio:

1/10 = x/50.

You know that 10 * 5 = 50.

Since it is a constant ratio, it has to be 1 * 5 = x

Since 1 * 5 = 5, Tiffany can fill the pool 5 gallons per 50 seconds.

24% of students buy lunch. 190 students bring lunch from home. How many students are in the sixth grade?

Answers

Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

The correct answer is 250 students.

Which function describes the sequence 3, 6, 12, 24.... for n = 1. 2. 3.... ? A. f(n) = 3.11 B. /(n) = x2 + 2 C. f(n) = 3(2-1) D. f(n) = (n - 1)2 + 3​

Answers

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

The sum of two numbers is 840. One of the numbers is 357. What is the other number?

Answers



We can create a formula first.

X will be the unknown number

840= 357+x
-357 -357

483 = x

Hope this helps

Answer:

Step-by-step explanation:

Given

The sum of two number =840

One number =357

First number+second number=840

357+a=840

a=840-357

a=483

20 points! Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + ? = 0
A.-6.7 + 6.8
B.-6.7 + (-6.6)
C.7.2 + (-7.2)
D.7.3 + (-7.3)

Answers

Answer:

D

Step-by-step explanation:

7.3+(-7.3)

hope that help

Answer:

Step-by-step explanation:

-4.5+4.4+0.1=0

A. =0.1

B. =-13.3

C. =0

D. =0

satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add

Answers

You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].

Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]

4x² - 3x⁵ + x³ - 8x what is the answer need by today

Answers

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

Which situation best describes a positive correlation? Group of answer choices The height of a candle and the amount of time it stays lit. The price of a pizza and the number of toppings added. The temperature of a cup of hot chocolate and the length of time it sits. The amount of rainfall on Fridays.

Answers

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

PLEASE HELP!! Which describes the graph of y = (x + 7)^2 - 9?
A. Vertex at (-7, 9)
B. Vertex at (7, 9)
C. Vertex at (7, -9)
D. Vertex at (-7, -9)
I need to get this right so I can bring my grades up so please help!

Answers

Answer:

The answer is D. Vertex at (-7,-9).

Step-by-step explanation:

The equation is in vertex form, so you take the opposite of x and the constant stays the same. So, the opposite of 7 is -7 and -9 stays the same.

Complete each sentence.
The relation (0, 0), (1, 1), (2,4),(3,9) represents a function because
5.
The relation (-4,4).(-2,2),(0,0).(-2,-2) does not represent a function because if you answer than I will mark you brainless
6.
The relation (-8,4),(-3,1),(2, 2). 7. -5).
a function because
Determine whether acharnhronnant

Answers

Answer:

1 is 20

Step-by-step explanation:

2x + y = -8
3x - 5y = -25

It’s substitution

Answers

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.

Answers

Answer:

Step-by-step explanation:

Total cups of chocolate available = 7 1/3 cups

each batch uses 2/3 of a cup of chocolate

To get the number of batches of muffin Jim can bake, we will use the equality postulate.

1 batch = 2/3 cup of a chocolate

x batch = 7 1/3 cups of chocolate

Cross multiply

2/3 x = 7 1/3

2/3 x = 22/3

cross multiply

2x * 3 = 3 * 22

6x = 66

x = 66/6

x = 11

Hence Jim can bake at most 11 batches of muffins

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