14. A circus show started at 6:15 1
pm and ends at 9:30 pm. What
was the duration of the show?*
O 3hrs 15 mins
ООО
O 2hrs 15mins
O 3hrs 20mins
O 1hr 45mins​

Answer:

a

Step-by-step explanation:

because

Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity  (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:

vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds

The maximum height can be calculated by substituting the time we obtained to the function.

h = –16t 2 + 64t + 8

h = –16(2)^2 + 64(2) + 8 = 72 feet

Step-by-step explanation:

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Answer:

x = 5

Step-by-step explanation:

9 - 2x = - 1

9 + 1 = 2x

10 = 2x

x = 5

Answer:

hope it helps

have a good day

Step-by-step explanation:

q

(a) 8:30 am

(b) 17 minutes

(c) 10:15

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Answer:

A. F'G' = 3 & G'H' = 5.

Step-by-step explanation:

Translations of any shape will not change the side lengths and will be congruent to the original shape.

Answer:

The flag pole is 38.96 feet tall.

Step-by-step explanation:

The angle of depression from the top of the flagpole to an object on the ground is 33°.

The object is 60 feet from the base of the cliff.

We need to find the height of the flag pole.

Here, base, B = 60 feet

We know that,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Put all the values to find P.

[tex]P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft[/tex]

So, the flag pole is 38.96 feet tall.

Answer:

4.75

Step-by-step explanation:

Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75

Hope this helps

Answer:

In 12 days the stock will be worth $ 76.55.

Step-by-step explanation:

Given that a certain stock opens with a price of $ 0.59, and over the first three days the stock value increases at an average rate of 50% per day, to determine, if this trend continues, how much will the stock be worth in 12 days the following calculation must be performed:

Initial value x rate of increase ^ number of years = X

0.59 x 1.5 ^ 12 = X

0.59 x 129.74 = X

76.55 = X

Therefore, in 12 days the stock will be worth $ 76.55.

Answer:

month us your x, and temp. is your y

type the graph into demos graph calculator.

hope this helps

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Answer:

-74 10/5

Step-by-step explanation:

first you will write the decimal number in fraction form which will be,

-74.5 = -745/10

now, on diving we will get,

74 as quotient and 5 as remainder, 10 as divisor.

now mixed fraction is, quotient divisor/remainder

the answer will be -74 10/5

•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.

I got a little help from my tutors at Gauthmath app, you can get it too. I would suggest you this app. really cool app.

Hope my answer helps.

Answer:

If in a company, 55% of workers are men, then,

100%-55%=45% in the company aren't men.

If x be the total number of workers in the company, then

45% of x=those who aren't men

45/100*x=1305

x=2900

Therefore, the total number of workers is 2900.

Answer:

Yeah it is

Step-by-step explanatkeisjjs

Answer:

6 weeks.

Step-by-step explanation:

Answer:

[tex] \displaystyle f'(x) = 2 {x} [/tex]

Step-by-step explanation:

we would like to differentiate the following:

[tex] \displaystyle f(x) = {x}^{2} [/tex]

take derivative In both sides:

[tex] \displaystyle f'(x) = \frac{d}{dx} {x}^{2} [/tex]

use exponent derivation rule:

[tex] \displaystyle f'(x) = 2 {x}^{2 - 1} [/tex]

simplify substraction:

[tex] \displaystyle f'(x) = 2 {x}^{1} [/tex]

by law of exponent we obtain:

[tex] \displaystyle f'(x) = 2 {x} [/tex]

and we are done!

Answer:

f'(x) = 2x

Step-by-step explanation:

Using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

f(x) = x²

f'(x) = 2.1 [tex]x^{2-1}[/tex] = 2x

Answer:

b=36 and c=144

Step-by-step explanation:

b+144=180, b=36

b+c=180, c=180-36=144

Answer:

-65

-61

20ab - 3bc - 3ac

Step-by-step explanation:

1.) Find the sum of 72−104+5and -32+ 4-10.

72 - 104 + 5 = - 27

- 32 + 4 - 10 = - 38

Sum of (-27 and - 38) = - 27 + (-38) = - 65

2.) What should be added to 32+32+3 to get 3+3

32 + 32 + 3 = 67

3 + 3 = 6

67 + x = 6

x = 6 - 67

x = - 61

3.) Subtract the sum of 12ab –10bc –18ac and 9ab +12bc + 14ac from the sum of ab + 2bc and 3bc –ac

(12ab –10bc –18ac) + (9ab +12bc + 14ac)

12ab + 9ab - 10bc + 12bc - 18ac + 14ac

= 21ab + 2bc - 4ac

(ab + 2bc) + (3bc - ac)

ab + 2bc + 3bc - ac

ab + 5bc - ac

(21ab + 2bc - 4ac) - (ab + 5bc - ac)

21ab + 2bc - 4ac - ab - 5bc + ac

21ab - ab + 2bc - 5bc - 4ac + ac

20ab - 3bc - 3ac

Answer:

Step-by-step explanation:

The formula for this is:

6(6 + x) = 3(3 + 25) and

6(6 + x) = 3(28) and

36 + 6x = 84 and

6x = 48 so

x = 8

Answer:

D. 56.3 cubic units

Step-by-step explanation:

To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

we know that

[tex]\sf{volume ~of~prism =l.w.h }[/tex]

According to the question,.

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

[tex]\sin 68^{\circ}=\frac{28}{x}[/tex]

Step-by-step explanation:

In any triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle (o/h).

Therefore, we have:

[tex]\boxed{\sin 68^{\circ}=\frac{28}{x}}[/tex]

Answer:

Yes!

Step-by-step explanation:

Answer:

0.4 (decimal)

4/9 (fraction)

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag

sum of marshmallows in the bag = 12 + 16 + 8 = 36

Probability a red marshmallow is picked = 16/36

To transform to the simplest form. divide both the numerator and the denominator by 4

= 4/9

to convert to decimal, divide 4 by 9 = 0.4444

0.4 to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

Your welcome! :)

Step-by-step explanation:

17: 35000

18: 0.0029

19: 0.000003

20: 1.5

Answer:

I believe the answer is A

Step-by-step explanation:

Step-by-step explanation:

Answer:

Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.

Step-by-step explanation:

The integers are -39 and -38.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Given;

The product of two consecutive positive odd integers is 38 less than the square of the greater integer

Now, let the numbers be x and x+

So, the equations will be

x(x+1)-38=(x+1)^2

x^2+x-38=x^2+1+2x

x=-39

x+1=-38

Therefore, the integer numbers will be -39 and -38.

Learn more about numbers here;

https://brainly.com/question/3151755

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