Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.

Answers

Answer 1

Answer

9=5 equivalent

Step-by-step explanation:

Answer 2

Answer:

A. cos(x) = 1/2

Step-by-step explanation:

2sec(x) = 9-5 = 4

sec(x) = 4/2 = 2

1/cos(x) = 2

cos(x) = 1/2


Related Questions

Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.

Answers

Answer:

(C)

Step-by-step explanation:

If can't have a meaning as something can't decrease more than 100% of itself.

The statement that is meaningless is

There was a 120% decrease in the amount of water in a dam.

Option C is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A percentage increase can be of any number.

A percentage decrease can not be below 100%.

Now,

A.

There was a 3% decrease in the price of sugar.

This is possible.

B.

There was a 200% increase in the population of the town.

This is possible.

C.

There was a 120% decrease in the amount of water in a dam.

This is not possible.

The highest percentage decrease can be up to 100%.

D.

There was a 0% change in the temperature in the room after 1 hour.

This is possible.

Thus,

There was a 120% decrease in the amount of water in a dam is meaningless.

Learn more about percentages here:

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cannot decide which of two washing machines to buy. The selling price of each is ​$. The first is marked down by ​%. The second is marked down by ​% with an additional ​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.

Step-by-step explanation:

A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?

Answers

Answer:

2,771

Step-by-step explanation:

24 x 114 = 2736 + the 35 they threw away = 2,771

What is the solution to the system of equations?

Answers

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)

what are the different types of geometric constraints that are applied to sketches, and what are their functions?

Answers

Some examples of geometric constraints include parallelism, perpendicularity, concentricity and symmetry. Parallelism occurs when two or more lines or axes of curves are equidistant from each other. Perpendicularity is a constraint in which lines or axes of curves intersect at right angles.

Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60

Answers

Answer:

A- 480

Step-by-step explanation:

First, I'm going to work out 25% of 1200 for the before 1980 pennies.

10% = 120

20% = 240

5% = 60

240 + 60 = 300 pennies before 1980.

Next, work out 35% of 1200 instead.

20% = 240

+ 10%

30% = 360

+ 5% = 60

35% = 420 pennies from 1980-2000

Finally, work out how many pennies are leftover.

300 + 420 = 720

1200 - 720 = 480

A is the answer.

Hope this helps and have a good day!

You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.

Answers

how much rides are there??

Find the angle measure of MP

Answers

Answer:

arc MP = 88°

Step-by-step explanation:

The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then

arc MP = 2 × ∠ MQP = 2 × 44° = 88°

Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?

Answers

Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]

Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.

Answers

The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.

The nth term of a geometric sequence is expressed as;

[tex]a_n=ar^{n-1}[/tex]

a is the first term of the sequencer is the common ration is the number of terms.

For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.

For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]

[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]

Since the common ratio of the sequence is greater than 1, hence the series diverges.

For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]

[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]

Since the common ratio of the sequence is less than 1, hence the series converges.

Learn more on convergence of series here: https://brainly.com/question/14294471

Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).

Answers

Okay so the gradient of the perpendicular line is -1/3 and then from there u have to solve for the y intercept. Substitute in 9 and -7 where -7 is y and 9 is x. The equation is y=-1/3x-4 :)

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

Which of the following functions is graphed below?

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Find the number of hours worked from 7:34 A.M.
to 11:48 A.M., assuming pay is for full quarter-
hours.

Answers

Answer:

3 hours

Step-by-step explanation:

If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.

Subtract 7:34 from 11:48:  we get 3:14 hours.  Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.  

So the 'number of hours worked' is 3 hours.

Note that 3:14 would be 3 hours 14 minutes.

What is the slope of the line through (6,9)(6,9)left parenthesis, 6, comma, 9, right parenthesis and (7,1)(7,1)

Answers

Answer:

-8

Step-by-step explanation:

I don't really have an explenation

Answer:

y = -8x + 57

Step-by-step explanation:

hope this helps! :)

help quick please
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=920(1.05)^x​

Answers

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

The exponential function represents the growth and the percentage rate of increase is 5%

What is an exponential function?

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential function y = 920(1.05)ˣ

since the base value of the function is greater than 1 then the function shows growth.

for the rate of increase,

let x = 0 for the initial value

y = 920(1.05)ˣ = 920(1.05)⁰            (a⁰ = 1)

y₀ = 920

now x =1

y = 920(1.05)ˣ  = 920(1.05)¹

y₁ = 966

percent increase = 100(y₁ - y₀)/y₀

percent increase = 100(966 - 920)/920

percent increase = 100 x 0.05 = 5%

Hence the growth of function at the rate of 5%.

Learn more about exponential function;

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Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.

Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.

$

Answers

Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?

Answers

The tip should be 18.75

1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1

Answers

Answer:

C.

Step-by-step explanation:

7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15

Write them in ascending order:

1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.

The mean = sum of the numbers / 11

= 80/77

= 7.3.

The median = the middle number

= 7.

The mode = the number which occurs most

= 1.

Write the equation of the line that passes through the point -3,4 and slope of 6

Answers

Answer: y=6x+22
Explanation:
1. we first start with the equation y=Mx+b
2. Then we plug in the slope (6) into M
3. Now you have y=6x+b
4. Now you plug in your point (-3,4) into the y and the x values
5. You are now stuck with 4=6(-3)+b
6. Now multiply 6 and -3 which gets you -18
7. Your new equation is now 4=-18+b
8. Now add 18 to both sides of the equals sign
9. Now you have 4+18=b
10. Add 4+18 which gets you 22. B is 22
11. Plug b into the equation and turn the values of x and y back to those letters
12. You now have the answer of y=6x+22

The total bill was 56.25. how much would the bill be if 7 % tax was added

Answers

I used a calculator to solve and it came up with $60.1875

An ice cream store has 31 flavors of ice cream and 10 toppings. A regular sundae has one flavor of ice cream, one topping, and comes with or without whipped cream. How many different ice cream sundaes can be ordered?

Answers

10 because there is only 10 toppings and each only comes with one topping!

Answer:

610

Step-by-step explanation:

31 x 10= different flavour and topping combination

x2 = for the whipped cream different option

what id the limit of this function? f(x)=2x4+5x3−2x+12

Answers

Your math problem

(==)=24=+53−2+12

f(x)=2x^{4}+5x^{3}-2x+12

Find solutions on the

I seriously don’t understand please help

Answers

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

if candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 300 students

Answers

Answer:

267

Step-by-step explanation:

Answer:

First dont give candie second keep for yourself third mock them 4th be greedy

Step-by-step explanation:

by buying candie from your own money nah waste on yourself

What is 7/4+2/3
I can’t find the answer pls help

Answers

Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.

Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =

Answers

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

3(x+3/4+5-x/4-x/6)=10​

Answers

3(x+3-4+5-x-4-x-6)=10

-3x/-3= -28/3

x= -28/3

Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.​

Answers

Answer:

Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP

Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.

∴ AP=BP

In right ΔAPO we have

OA  

2

=AP  

2

+OP  

2

⇒25−9=AP  

2

 

⇒AP  

2

=16⇒AP=4

Now AB=2,AP=2×4=8[∵AP=PB]

hence the length of the chord of the larger circle which touches the smaller circle is 8cm.

Step-by-step explanation:

Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done

Answers

Answer:

1.11 feet

Step-by-step explanation:

i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11

Miguel bought 8 equally priced pens for $3.84.

How much will 15 of these pens cost?

Answers

Answer:

$7.20

Step-by-step explanation:

If 8 pens cost $3.84, we need to find out how much ojne pen costs.

To find out the cost of one pen we need to divide $3.84 by 8.

$3.84 / 8 = $0.48

1 pen cost $0.48

We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.

$0.48 x 15 = $7.20

15 pens cost $7.20

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