Use the fundamental trigonometric identities to simplify the expression. There is more than one correct form of the answer.
5 csc φ tan φ + 5 sec φ

Answers

Answer 1

Answer:

10sec φ

Step-by-step explanation:

5 csc φ tan φ + 5 sec φ

= 5 (1/sin φ) * (sin φ/cos φ) + 5 sec φ

= 5 (1/cos φ) + 5 sec φ

= 5 sec φ + 5 sec φ

= 10 sec φ


Related Questions

Given the formula a = s2 + 3b - c , find the value of a when s = 7, b = 13 and c = -24.

Answers

Answer:

a = 112

Step-by-step explanation:

[tex]a =s^{2} +3b-c[/tex]

Given that,

s = 7

b = 13

c = (-24)

Let's solve for a now.

[tex]a =s^{2} +3b-c[/tex]

[tex]a = 7^{2} +3*13-(-24)\\[/tex]

[tex]a=49+39+24\\[/tex]

[tex]a=88+24[/tex]

[tex]a=112[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Which one is this. I don't really understand

Answers

Answer:

i need points and this is a long question from before

thanks for the points

Step-by-step explanation:

There are 24 red cars to every 96 blue cars. How many blue cars are there if there are 96 red cars?

Answers

Dividing the ratio of red and blue cars:

96 /24 = 4

There are 4 times as many blue cars as red cars.

Multiply the number of red cars by the scale factor:

96 red x 4 = 384 blue cars

Answer:

384 blue cars

Step-by-step explanation:

Here's how I do all of this in my head:

Divide 96 by 24:

96 ÷ 24 = 4

Now that we know that the number we need is 4, all we have to do is multiply both factors by 4.

96 × 4 = 384

24 × 4 = 96 (which is the number we're looking for)

So now that we have 96 red cars, we can see that there's 384 blue cars, which will be your answer.

I hope I helped, and a Branliest is always appreciated! ☺

Which is the quotient for
2
.
21
÷
0
.
34
?

A.
0.65

B.
6.05

C.
6.5

D.
65

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

It’s for pre college

Answers

Answer:

answer is I do'not no I am sorry

Help please I really need it now

Answers

Answer:

To get the answer use the dinamic format of barnic, its super easy to use please look it up and use the steps provided

Step-by-step explanation:

It willl help you so much.

$4.95 marked up 80% ​

Answers

Answer:

$8.91

Step-by-step explanation:

Multiply $4.95 times 0.80 ( convert 80% to a decimal ) and that will equal 3.96 .

Then , since you're marking it up , you're gonna add the 3.96 to 4.95 which will equal $8.91 .

:)

A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3:4. Find the number of blue marbles in the bag. blue marbles​

Answers

Answer: 4

Step-by-step explanation:

since they are comparing it red to blue marbles and in 3:4 ratio 4 is the second one and it is comparing red to BLUE the second 1 is blue

x divide 5 =20 solve equation for x

Answers

Answer:

x = 100

Step-by-step explanation:

[tex]\frac{x}{5}=20[/tex]

[tex]5*\frac{x}{5} =20*5[/tex]

x = 20 * 5

x = 100

Hope This Helps

A sum of 2 integers is 41 and their difference is 5. Find the integers.

Answers

Answer:

A = 22

B = 19

Explanation:

Numbers one and two will be a variable A and B respectively.

A + B = 41 Equation one

A + B = 5 Equation two

Isolate one of the variables. Let's use A

A + B = 41 = A = 41 - B

Now replace the A in Equation two.

(41 - B) - B = 5

Simplify: 41 - 2B = 5

Isolate variable: 38 = 2B --> B = 19

Use the value of B to find A

A = 41 - B = 41 - 19 = 22

So the answer is A = 22 and B =19

Sophia's bank account
statement said she had -$25.
She deposited $47 into her
account. What is Sophia's
balance after she made the
deposit?

Answers

I think the answer is 22

Answer:

22

Step-by-step explanation:

Diego can purchase
glass jars locally for
$4.50 each or order
them online for $4.05
each. What percentage
will he save ordering
them online?

Answers

Answer:

10%

Step-by-step explanation:

4.5-4.05=.45

.45/4.5=.1

0.1= 10%

Evaluate 7+q(r−8)2
7
+
q
(
r

8
)
2
when q = 3 and r = 10.

Answers

1.) Substitute the variables in for q=3 and r=10:

7+(3)((10)-8)•2

2.) Follow PEMDAS (Order of Operations) to evaluate the expression.

7+3(2)•2

• In PEMDAS, simplify parenthesis first, so 10-8 was in parentheses which is equal to 2.

7+6•2 = 7+12

• In PEMDAS, Multiplication and Division is equal, so work left to right to whatever comes first. Multiplication came first and we worked left to right.

7+12 = 19.

After multiplication and division comes addition and subtraction which are also equal, so we also work left to right. We only have addition in this expression, so 7+12 = 19.

19 is your answer.

Answer:

the anwser is indeed 19 i just did the problem rn

Step-by-step explanation:

I JUST DID THE QUIZ

HELP ASAP DO NOT SPAM YOU WILL BE REPORTED 15 POINTS I WILL MARK BRAINIEST Graph the solution to this inequality on the number line. w – 0.7 > -1.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.​

Answers

0.7 yeah that’s what I got

Given the two equations below, determine which statement best describes the graph of the equations.
y=x + 6
y = x+ 17

A.
The two lines given by the above equations intersect (but are not perpendicular).
B.
The two lines given by the above equations coincide.
C.
The two lines given by the above equations are perpendicular.
D.
The two lines given by the above equations are parallel.

Answers

Answer:

Graph.

y=x+6y=x+17

Step-by-step explanation:


Please help!!! Due today!! Will mark brainliest!!!!

Answers

Answer:

$231

Step-by-step explanation:

Given:

A = 44000i = 0.375% or 0.00375n = 12*12 = 144 (12 years and 12 periods per year)d = ?

Use the given formula and find d:

[tex]44000 = d(\frac{(1+0.00375)^{144}-1}{0.00375})[/tex][tex]44000 = d*190.47[/tex][tex]d = 44000/190.47[/tex][tex]d = 231[/tex]

Graph y + 14 = -7x help me pls

Answers

Answer:

  see attached graph

Step-by-step explanation:

There are a couple of ways you can look at this.

Point-Slope Form

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, we see that ...

  k = -14, m = -7, h = 0

That is, the equation describes a line with slope -7 through point (0, -14).

The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.

__

Slope-Intercept form

We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept (0, b)

Adding -14 to both sides of the given equation gives you this form.

  y = -7x -14

The method of plotting is substantially identical to that described above.

__

Standard form

The standard form of the equation is ...

  ax +by = c

where a > 0, and a, b, c are mutually prime integers.

Adding 7x-14 to both sides of the equation puts it into standard form:

  7x +y = -14

The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...

  c/a = -14/7 = -2

and the y-intercept is ...

  c/b = -14/1 = -14

These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.

The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at $4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.

Answers

Answer:

Step-by-step explanation:

I TOO THE TEST ANSWER IS 12.67

Matt bought a 12-pack of water for $10.32. What was the unit rate?

Answers

We want to find the unit rate of the bottles of water given that we know that the cost of 12 bottles is $10.32, we will find that the unit rate is:

r = 1.16 (bottles/$)

The unit rate is defined as the rate of change per unit, in this particular case, the unit rate would be the cost of every single bottle of water.

Here, we do know that for $10.32, you get 12 bottles.

The unit rate is just given by the quotient between these two values:

(12 bottles)/($10.32) = 1.16 (bottles/$)

Meaning that the cost of every single bottle is $1.16

If you want to learn more, you can read:

https://brainly.com/question/18065083

The number of students in a chess club decreased from 26 to 15. What is the percent decrease? Round your answer to the nearest percent.

Answers

Answer:

42%

Step-by-step explanation:

26 - 15 = 11

Take your decrease and divide it by the original price:

11/26 = 0.4230

Multiply 0.4230 by 100 to find the percent:

42.3

Round your answer and you would get -

42%

Answer:

42%

Step-by-step explanation:

You divide 15 by 26 and get 0.5769 and it continues with other numbers. to the nearest percent is 58. Then you subtract it from 100 and get 42%.

Can you please help me

Answers

Answer:

63

Step-by-step explanation:

27/6=4.5

14*4.5=63

WILL MARK BRAINLIEST!!

Answers

Answer:

C = (A*P - 8.4Y -330T + 200I) / 100

Step-by-step explanation:

P = (8.4Y + 330T + 100C -200I ) / A

now we have to calculate completed passes C for given P, Y, T, I, A

A*P = 8.4Y + 330T -200I +100C

100C = A*P - 8.4Y - 330T + 200I

C = (A*P - 8.4Y -330T + 200I) / 100

I just solved the equation for C

An urn contains p black balls, q white balls, and r red balls; and n balls are chosen without replacement. a. Find the joint distribution of the numbers of black, white, and red balls in the sample. b. Find the joint distribution

Answers

The joint distribution of the numbers of the three colours in the sample without replacement is:

[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]

Let consider A, B, and C to denote the three variables that are black, white, and red balls in the sample.

i.e.

n = A + B + C

Now, the numbers of ways 'n' balls are chosen without replacement in an urn that comprises of p black balls, q white balls, and r red balls can be computed as follows:

[tex]\mathbf{\implies \Big( ^{p+q+r}_{ \ \ \ n} \Big) }[/tex]

Now, the number of ways whereby A black balls can be chosen from p black balls is expressed as:

[tex]\mathbf{\implies \Big( ^{p}_{ A} \Big) }[/tex]

The number of ways whereby B white balls can be chosen from q white balls is expressed as:

[tex]\mathbf{\implies \Big( ^{q}_{ B} \Big) }[/tex]

The number of ways whereby C red balls can be chosen from r red balls is expressed as:

[tex]\mathbf{\implies \Big( ^{r}_{ C} \Big) }[/tex]

Therefore, we can conclude that the joint distribution of the numbers of the three colours in the sample without replacement is:

[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]

Learn more about joint distribution here:

https://brainly.com/question/17283589?referrer=searchResults

Please help i need to do this and study a different class later

Answers

Answer:

im not sure sorry

Step-by-step explanation:

10.
Which equation is represented by the graph?



A. y = 1/2x^2 - 2x + 1

B. y = x2 − 4x + 1

C. y = -1/2x^2 - 2x + 1

D. y = −x2 − 4x + 1

Answers

Answer:

D. y = −x2 − 4x + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 2 ,  5 )

Focus:  ( − 2 ,  19 /4 )

Axis of Symmetry:  x= − 2

Directrix:  y = 21 /4

x                     y

− 4                   1

− 3                   4

− 2                   5

− 1                    4

0                     1

The price increases 20% each week. The price of oranges this week is $4.50 . What was the price last week?

Answers

Answer:

3.60

Step-by-step explanation:

4.50 · 0.2 = 0.94.50 - 0.9= 3.60original · percent as decimal = original + or - answer to step one=  answer

Answer:

last week the where 3.6

Step-by-step explanation:

The total number of public electric charging units available for hybrid vehicles has increased exponentially since 2005. The number of outlets​ A(t) at these alternative fueling stations t years after 2005 can be approximated by A(t)=233(2.08)t​, where t=0 corresponds to 2005. How many outlets were available in 2007​, in 2009​, in 2010​?

Answers

a.

The number of outlets​ in 2007 are 1008 outlets

Since  the number of outlets​ A(t) at these alternative fueling stations t years after 2005 is [tex]A(t) = 233(2.08)^{t}[/tex] with t = 0 corresponding to 2005.

To find the number of outlets in 2007, we substitute t = 2 into the equation.

So,

[tex]A(t) = 233(2.08)^{t}\\A(2) = 233(2.08)^{2}\\A(2) = 233(4.3264)\\A(2) =1008.0512[/tex]

A(2) ≅ 1008 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).

So, the number of outlets​ in 2007 are 1008 outlets

b.

The number of outlets in 2009 are 4361 outlets

To find the number of outlets in 2009, we substitute t = 4 into the equation.

So,

[tex]A(t) = 233(2.08)^{t}\\A(4) = 233(2.08)^{4}\\A(4) = 233(18.72)\\A(4) =4361.23[/tex]

A(4) ≅ 4361 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).

So, the number of outlets in 2009 are 4361 outlets

c.

The number of outlets in 2010 are 9071 outlets

To find the number of outlets in 2010, we substitute t = 5 into the equation.

So,

[tex]A(t) = 233(2.08)^{t}\\A(5) = 233(2.08)^{5}\\A(5) = 233(38.93)\\A(5) = 9071.36[/tex]

A(5) ≅ 9071 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).

So, the number of outlets in 2010 are 9071 outlets

Learn more about exponential increase here:

https://brainly.com/question/18261561

express the recurring decimal 0.034 as a fraction in its simplest form

Answers

Answer:

It's 17/500

Step-by-step explanation:

I took the same test and I got it right!<3                                                                           pLeAsE gIvE bRaInLiEsT tYsM<3                                                                                           HaVe A wOnDeRfUl... WeEkEnD

Graph the lines y=3x+3

Answers

Answer:

Step-by-step explanation:

What is the total amount of fees if there were 6 withdrawals for cash in a month, 10 uses of an ATM,

and 16 debit card transactions? Enter a whole number, like 789

Answers

Answer:

34

Step-by-step explanation:

16+10+6=34

Other Questions
a woman is a healthy carrier of the cystic fibrosis gene (a recessive trait) and her husband is an unaffected male. what is the probability of an unaffected child from this pairing You are traveling to a football game. You tell your friends you traveled 70 miles per hour while on the interstate. You know however, that at one point you glanced at your speedometer and it read 68 miles per hour. Which is your average speed and which is your instantaneous speed? How can dogs be tormentors to cats? If 3 rabbits can eat 12 carrots in 1 hour, how many carrots can 6 rabbits eat in a half-hour? I only need the roots for the words How do you solve t/3 = 10 Are these ratios equivalent?25 words every 10 years35 words every 14 yearsA: YesB: No Which below best summarizes Bernards character arc in this novel?In rejecting his conditioning, Bernard grows in his understanding of what it means to be human. He is excited to leave to the Falklands to live amongst other independent thinkers.In rejecting his conditioning, Bernard grows in his understanding of what it means to be human. He is excited to leave to the Falklands to live amongst other independent thinkers.,Although he wants to be an individual, to feel strongly and act freely, Bernard shows little creativity or courage. While he matures slightly, he remains shallow and uninteresting.Although he wants to be an individual, to feel strongly and act freely, Bernard shows little creativity or courage. While he matures slightly, he remains shallow and uninteresting.,While struggling to say what he is really feeling inside of him at the beginning, he breaks free in the middle of the novel and highly criticizes the World State only to repent at the end.While struggling to say what he is really feeling inside of him at the beginning, he breaks free in the middle of the novel and highly criticizes the World State only to repent at the end.,While strictly conventional man, absolutely conservative in his outlook and demeanor in the beginning of the novel, he changes to a vulnerable, sad, and lonely man full of regret by the end of the book. HELP PLEASE 100 POINTS FOR CORRECT ANSWER! Simplify (2a2b4)3. Select the correct answer. Question 1 options: A 2a6b12 B 8a6b12 C 2a5b7 D 8a6b12 Plzzzzzz hurrrrryyyyyyyyy How to write"About 14% percent of the town is expecting the storm season to be short." in a nine worded sentence. A stereo is normally $540, and today is on sale for 25% off how much do you save by buying it today Question 1 (1 point) SavedInjustice meansQuestion 1 options:separation of people based on differences100 yearsunfairnessbeing braveQuestion 2 (1 point) Demonstration meansQuestion 2 options:a public display of group opinionsomething that stands for something elsebetween, among, or involving people of different racesthe state of being united of forming a wholeQuestion 3 (1 point) Legacy isQuestion 3 options:power or right to act, speak, or think as one wants without hindrance or restraintbody of ideas, achievements, and moralspeople who share a culture and a territorythe state of being united or forming a wholeQuestion 4 (1 point) society isQuestion 4 options:fairness; rightfulness100 yearspeople who share a culture and a territoryquality of having a brave heartQuestion 5 (1 point) Segregation meansQuestion 5 options:separation of people based on racial, ethnic, or other differences100 years agoquality of having a brave heartfairness; rightfulnessPLZ!!!!! HELP!!!!! 100 points Imagine that you want to add HIPHOP_SNARE_001 to a song you are creating. HIPHOP_SNARE_001 is an example of a: Write an equation of the line that passes through (2, -1) and (-3, 3). help please scientist has been tracking and studying a population of deer in Yellowstone National Park. He surveys thepopulation every six months. Usually, the population is thriving and has a gene pool with a wide variety of traits. Butduring one six-month period, an event occurred that affected the population, and when the scientist returned, theamount of genetic variation had decreased significantly. Which of the following is most likely the event that occurredto change the population?O Yellowstone National Park expanded its borders.A populationof wolves was introduced into Yellowstone National Park. The amount of disease in the deer population decreased. More grass and shrubs were planted in Yellowstone National Park. Read attachment! Will give brainliest. True or false Banks offer interestto their savingsaccounts to attractmore customers. Ms. Skinner allows students who have completed their morning assignment to leave one minute early for recess. This is an example of: