The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12

Answers

Answer 1

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer 2

Answer:

9

Step-by-step explanation:

The answer above is correct.


Related Questions


at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways

Answers

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.

Answers

Answer:

x=8 y=10

Step-by-step explanation:

x+y =18        x=(18-y)

3(18-y) +2y =44

54-3y+2y =44

54-y =44

-y=-10

y=10

                                     x+10=18

                                      x=8

The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tailwind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
P.S: The answer is not 540

Answers

Answer:

533.3

Step-by-step explanation:

x/480+x/600

2x/18x

4800/9=533.333333

533.34

Which equation can be used to find the area of the parallelogram 4cm and 6cm and 10cm

Answers

1/2(a + b)h
A and b are are the 2 parallel sides
H is the height

Use the Distributive Property to expand 4(x+3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

Question is in the picture.

Answers

Answer:

angle A=65

a= 24.5

b= 36.4

Step-by-step explanation:


Help asap I don’t know what I’m doing

Answers

Answer:

you are right it is ^

Step-by-step explanation:

Answer:

It is your answer

Step-by-step explanation:

Your welcome.

The area of a rectangular room is 48 square feet and the width is 2 yards. What is the length of the room?

Answers

Answer:

8 feet = 2 ²/₃ yards

Step-by-step explanation:

1 yard = 3 feet

Given width = 2 yards

⇒ width = 2 × 3 = 6 feet

Area of a rectangle = width × length

⇒ 48 ft² = 6 ft × length

⇒ length = 48 ft² ÷ 6 ft

length = 8 ft

To convert the length to yards, divide by 3:

⇒ 8 ÷ 3 = 2 ²/₃ yards

Which of the following is equivalent to 24:72?

a. 1:3 b. 2:4 c. 2:3 d. 3:1

Answers

Answer: 1:3 A

Step-by-step explanation:

if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome

What do we do to both sides of this equation to solve?

x+3=5

Question 1 options:

Subtract 3 from both sides


Add 3 to both sides


Multiply both sides by 3


Divide both sides by 3

Answers

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

I know I`m late sorry, still wanted to answer

. _ .

In order to be successful in taking math exams, what are some important test taking strategies?

Answers

Answer:

Hope this helps =)

Step-by-step explanation:

Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it out

Please help!! 40 Points!!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

B

[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]

C

[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]

= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]

= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]

= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]

#A

a^b+a^c=a^b+c

#B

12^5x×12^-712^5x-7

#C

x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1

The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer

Answers

Answer:

116.25 or [tex]\frac{465}{4}[/tex]

Step by Step Explanation;

500=35+4n

Subtract 35 from both sides

465=4n

[tex]\frac{465}{4}=n[/tex]

[tex]116.25=n[/tex]

Hope This Helps! :) Please Mark as Brainliest!

C=35+4n, if C=500 what would N be?
n=116.25

Find the gradient of the line segment between the points (1,2) and (3,-8)?

Answers

Answer:

-5

Step-by-step explanation:

[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

              =[tex]=\frac{-8-2 }{3-1}[/tex]

             =-5

Hope it helps:)

Solution:-

[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

[tex]\sf{x_1= 1}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=3}[/tex][tex]\sf{y_2= -8}[/tex]

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]

>>The gradient of the line segment is -5

there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?

Answers

Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.

Step-by-step explanation:

Ratio
= boys : girls
= 15 : 10
=15/10
= 3/2
= 3:2
Hence the ratio of boys to girls is 3:2

Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. if max had $43,000 in sales last month, what were his total earnings for the month? a. $3,225 b. $4,050 c. $4,325 d. $5,150 please select the best answer from the choices provided a b c d

Answers

The total earning of the month be $4325 .

We have given that the Max has a monthly salary of $1,100 and also

earns 7.5% commission on his sales.

When Max had $43,000 in sales last month .

He earns  7.5% is commission

We have convert it into  the decimal form.

[tex]\frac{7.5}{100}=0.075[/tex]

Commission Max earns = 0.075 × Total sales of the last month

Commission Max earns= 0.075 × 43000

Commission Max earns  = $ 3225

What is the formula for the total earning?

Total earning of a month = Monthly salary + Commission earning

Total earning of a month  = $1100 + $3225

Total earning of a month  = $ 4325

Therefore the total earning of the month be $4325 .

The Option (c) is correct.

To learn more about the total earning visit:

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A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?


A) $100
B) $110
C) $150
D) $280

Please show steps and explain

Answers

Answer: $150

the sports drink is only 25% smaller in the price compared to the tropical

but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92

the most you can stink out of this sum is $150

Step-by-step explanation:

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

MARK ME BRAINLEST

suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50

Answers

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

brain less

Using the equation below, what is the
value of p when v = 7?
p = 6v + 21

Answers

Answer:

p = 63

Step-by-step explanation:

It is given that the variable v is equal to 7:

v = 7

Plug in 7 for v, and then solve the given equation:

p = 6v + 21

p = 6(7) + 21

Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:

Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.

First, multiply 6 with 7:

p = (6 * 7) + 21

p = 42 + 21

Next, add:

p = 42 + 21

p = 63

63 is your answer for p.

~

Answer:

p = 63

Step-by-step explanation:

p = 6(v) = 21

add in 7 in place of v

p = 6(7) + 21

do 6(7)

p = 42 + 21

add those together

p = 63

Here you go! :)

For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.

Answers

Answer:

X = 2

AB = 39

CB = 27

Step-by-step explanation:

Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:

[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]

Now that we know x, we can solve the other equations:

[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]

And:

[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]

The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?

Answers

2 hours and 15 minutes

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.

later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts

Answers

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4


Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushes
must be planted 3 feet apart, approximately how many bushes are needed for the backyard? (4 points work,
1-point final answer)
12
30

Answers

The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes

How many bushes are needed?

The number of bushes needed = perimeter of the backyard / 3 feet

The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.

Length of the third side : √30² - 12² = 27.50 feet

Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet

The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes

To learn more about triangles, please check: https://brainly.com/question/22949981

Which expression is equivalent to sin7π/6?

Answers

Answer:

-6

Step-by-step explanation:

The answer is: 7π6=−π6

π= 3.14 or 22/7

so 7x3.14= 21.98

than divide by 6

Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.

Answers

D is the graph closest to the one shown

Solve the math problem

Answers

Answer:

5

Step-by-step explanation:

slope: increase in y ÷ increase in x

slope: (45-15)÷(9-3)

slope: 30÷6

slope: 5

find a area of a circumference that is 13 ft for 3.14 π

Answers

Answer:

4.14x3.14=12.9996

Step-by-step explanation:

This is the closest to 13 ft via circumference

Here is a few equations a dn formulas to remind you.

Area=3.14xRxR or Pi*rr

This is Pi times the radius times the radius.

The radius is half of the circle or half of the Diameter.

Area(semi-circle)=1/2x3.14xrxr

Circumfrence=3.14xDor 3.14xdiameter

If this answer helped pls give brainlest.

Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?

Answers

The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.

How to calculate the mortgage?

From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:

= ($55,000 × 9% × 25)

= $123750

The cost of the mortgage will be:

= $55000 + $123750

= $178750

The monthly payment will be:

= ($55000 + $123750) / 25 years

= $178750/(25 × 12)

= $178750/300

= $595

Learn more about mortgage on:

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Find the solution of 3x+5/2x+1 = 1/3

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]

On cross multiplying,

3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]

Cross multiply:

[tex]\implies 3(3x+5)=1(2x+1)[/tex]

Expand brackets:

[tex]\implies 9x+15=2x+1[/tex]

Subtract [tex]2x[/tex] from both sides:

[tex]\implies 9x+15-2x=2x+1-2x[/tex]

[tex]\implies 7x+15=1[/tex]

Subtract 15 from both sides:

[tex]\implies 7x+15-15=1-15[/tex]

[tex]\implies 7x=-14[/tex]

Divide both sides by 7:

[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]

[tex]\implies x=-2[/tex]

what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20

Answers

Answer:

13.15

Step-by-step explanation:

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