Three joggers are running around a circular track. One of them completes one lap in 6 minutes, the second one in 9 minutes, and the third one in 15 minutes. What time will they arrive at their starting point together if they start at the same time from the same point at 10:00 am and maintain their jogging pace

ANSWER

[tex]x = - \frac{2\pi}{3} [/tex]

EXPLANATION

The given function has equation

[tex]y = \tan( \frac{3}{4}x) [/tex]

This can be rewritten as

[tex]y = \frac{ \sin( \frac{3}{4}x ) } { \cos(\frac{3}{4}x )}[/tex]

The asymptote occurs at:

[tex]\cos(\frac{3}{4}x ) = 0[/tex]

This implies that,

[tex] \frac{3}{4} x = \frac{ \pi}{2} [/tex]

[tex]x = \frac{ \pi}{2} \times \frac{4}{3} [/tex]

[tex]x = \frac{2\pi}{3} [/tex]

Or

[tex]\frac{3}{4} x = - \frac{ \pi}{2} [/tex]

[tex]x = \frac{ - \pi}{2} \times \frac{4}{3} [/tex]

[tex]x = - \frac{2\pi}{3} [/tex]

The second choice is correct.

Answer:

B) [tex]x = \frac{2\pi }{3}[/tex]

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

Answer:

x^2-5x-24

Step-by-step explanation:

Final answer:

The product of the binomials (x + 3)(x - 8) is simplified using the FOIL method to get x² - 5x - 24. We multiply each term in the first parenthesis by each term in the second and combine like terms.

Explanation:

To multiply and simplify the expression (x + 3)(x - 8), we will use the FOIL method (First, Outer, Inner, Last). This method involves multiplying each term in the first parenthesis by each term in the second parenthesis.

First: x times x = x²

Outer: x times -8 = -8x

Inner: 3 times x = +3x

Last: 3 times -8 = -24

Next, combine like terms (-8x and +3x):

x² - 8x + 3x - 24 = x² - 5x - 24

The simplified form of the given expression is x² - 5x - 24, which corresponds to option C).

Answer:

The explicit formula is:

[tex]a_n = 200 +5(n-1)[/tex]

Step-by-step explanation:

Freya increases 5 yards daily to the number of yards she runs.

Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

[tex]a_n = n_1 + d(n-1)[/tex]

Where:

[tex]a_n[/tex] is the number of yards that Freya runs on the day

[tex]a_1[/tex] is the number of yards that he runs on day 1

d is the increase factor. [tex]d = 5[/tex] yards

n is the number of days

Then as [tex]a_1 = 200[/tex] and [tex]d = 5[/tex], the explicit formula is:

[tex]a_n = 200 +5(n-1)[/tex]

Answer:

a_n = 200 (n-1)5

Step-by-step explanation:

just to simplify from those over achievers who confuse the living  h e l l out of everyone

Answer:

[tex]c = 4[/tex]

Step-by-step explanation:

For this triangle we have to

[tex]A=63\\C=49\°\\c=3\°[/tex]

Now we use the sine theorem to find the length of a:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then:

[tex]\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\a=\frac{sin(A)}{\frac{sin(C)}{c}}\\\\a=c*\frac{sin(A)}{sin(C)}\\\\a=(3)\frac{sin(63)}{sin(49)}\\\\c=4[/tex]

Answer:

The decimal form of 5/8 is 0.625

All you have to to is divide numerator by denominator

Ur percent would be 63% if rounded

If not then its 62%

Answer: -x^2+12x+3

Step-by-step explanation:

Answer:

The base b is 6m

Step-by-step explanation:

The area A of a triangle with base b and height h is given by the formula;

[tex]A=\frac{1}{2}*b*h[/tex]

The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;

[tex]45=\frac{1}{2}*b*15\\\\90=15*b[/tex]

We finally divide both sides by 15 to solve for b;

b = 90/15 = 6

Therefore, the base of the triangle is 6 m

Answer:

[tex]b = 6\ m[/tex]

Step-by-step explanation:

The area of a triangle is

[tex]A = 0.5b * h[/tex]

Where b is the base of the triangle and ha is the height.

In this case we have a triangle with area

[tex]A = 45\ m ^ 2[/tex]

and with height:

[tex]h = 15\ m[/tex]

So the base of the triangle is:

[tex]45 = 0.5b (15)\\\\b=\frac{45}{15*0.5}\\\\b=6\ m[/tex]

Finally the base of the triangle is b = 6 meters

Answer:

Part 1) The measure of angle d is 65°

Part 2) The measure of angle c is 89°

Part 3) The measure of arc a is 131°

Part 4) The measure of arc b is 47°

Step-by-step explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the measure of angle d

∠d+115°=180°

∠d=180°-115°=65°

step 2

Find the measure of angle c

∠c+91°=180°

∠c=180°-91°=89°

step 3

Find the measure of arc a

we know that

The inscribed angle measures half that of the arc comprising

115°=(1/2)[99°+arc a]

230°=[99°+arc a]

arc a=230°-99°=131°

step 4

Find the measure of arc b

we know that

The inscribed angle measures half that of the arc comprising

∠c=(1/2)[arc a+arc b]

substitute the values

89°=(1/2)[131°+arc b]

178°=[131°+arc b]

arc b=178°-131°=47°

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.

The measure of the ∠d is 65 degrees.

The measure of the ∠c is 89 degrees.

The measure of the arc a is 131 degrees.

The measure of arc b is 47 degrees.

The value of each variable. For the circle, the dot represents the center.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.

1. The measure of ∠d is;

∠d+ 115°= 180°

∠d= 180°-115°= 65°

The measure of the ∠d is 65 degrees.

2. The measure of ∠c is,

∠c+ 91°= 180°

∠c =180°-91° =89°

The measure of the ∠c is 89 degrees.

3. The measure of arc a is,

The inscribed angle measures half that of the arc comprising;

[tex]\rm 115=\dfrac{1}{2}[99+arc \ a]\\\\230=[99+arc a]\\\\arc \ a = 230-99\\\\arc \ a= 131[/tex]

The measure of the arc a is 131 degrees.

4. The measure of arc b is,

The inscribed angle measures half that of the arc comprising;

[tex]\rm 89=\dfrac{1}{2}[131+arc \ b]\\\\178=[131+arc \ b]\\\\arc \ b = 178-131\\\\arc \ b = 47[/tex]

The measure of arc b is 47 degrees.

To know more about Angle and Arc click the link given below.

https://brainly.com/question/9177423

2L + 2w = 68 & L = 3w-4

2(3w-4) = 68

6w-8= 68

6w = 60

W= 10

L = 3*10-4

L= 30-4= 26

Answer:

21π m, or ≈ 65.94 m

Step-by-step explanation:

Remember that π is the ratio between a circle's circumference and its diameter, or, in equation form:

[tex]\pi=\frac{c}{d}[/tex]

where c is the circumference and d is the diameter. If we want to find the circumference, we can just multiply that equation by d on both sides to get

[tex]c=\pi d[/tex]

Here, our d = 21 m, so our circumference would be

[tex]c=21\pi[/tex] m, or approximately 21(3.14) = 65.94 m

____________________________________________________

Answer:

7 dollars

____________________________________________________

Step-by-step explanation:

To make solving this equation easier, lets turn the the information we got in the question into an actual equation.

Key information:

4 tickets

$12 popcorn

Spent a TOTAL of $40.

With the information above, we can use it to make an equation.

We would use the equation: y = mx + b

Since our "y" value would represent our total value, our total value is 40, so we would plug 40 into y.

Your equation should look like this:

40 = mx + b

Our "b" value represents our start value, and our start value would be 12 because we started with one $12 popcorn.

Your equation should look like this:

40 = mx + 12

Our "m" value would represent how many tickets we bought, so we would plug in 4 in m.

Our equation would be:

40 = 4x + 12

Now we can solve the equation:

We would move the 12 over to the left side of the equal sign by subtracting, then we would divide by 4.

[tex]40=4x+12\\\\28=4x\\\\7=x[/tex]

We should get ther answer of 7, that means that each ticket cost $7 dollars.

7 dollars should be your FINAL answer.

____________________________________________________

Answer:

One ticket = $7

Step-by-step explanation:

Forming the equation,

→ 4x + 12 = 40

Now the value of x will be,

→ 4x + 12 = 40

→ 4x = 40 - 12

→ x = 28/4

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

The answer is 4 pounds

Step-by-step explanation:

10+14+40=64 oz 64/16 =4

Answer:

4 pounds

Step-by-step explanation:

40 ounces of chicken+ 10 ounces of vegetables+ 14 ounces of rice= 64 ounces of the whole chicken dish.

Now, convert the number of ounces into pounds.

There are 16 ounces in a pound

Or

16 ounces=1 pound

So, divide 16 into 64 to get the number of pounds, which is 4.

Hope this helps!

Answer:

Step-by-step explanation:

1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.

2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.

3. Next, form an equation using these variables.

    x + 1.6x + (1.4 x 1.6x) = 121

    x + 1.6x + 2.24x = 121

    4.84x = 121

    x = 25

4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.

Antony: x = 25 stamps

Carl: 1.6x = 40 stamps

Emily: 1.4 times 1.6x = 56 stamps

By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!

Answer:

mean = 11.66666

median = 11

Step-by-step explanation:

To find the mean, add up all the numbers, then divide by how many numbers

mean = (15+9+13+18+9+6) / 6 = 70/6 = 11 .6666666

To find the median, put the numbers from smallest to largest. then take the middle number.  Since there is an even number, take the two middle numbers and average them

6,9,9,13,15,18

The two middle numbers are 9 and 13

(9+13)/2 = 22/2 = 11

Answer:

3/8

Step-by-step explanation:

the formula to find average of a set of values is, you add all the numbers, then you divide by the total amount of numbers.

you can work backwards with your problem by multiplying 1/4*2

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

then you subtract 1/8 from that

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

3/8 is the other number to get an average of 1/4

Answer: Audrey is less than 17 years old (possible answers 16,15,14,13...)

Answer in inequality: x<17

Step-by-step explanation:

3x + 9 < 60

3x + 9 - 9 < 60 - 9

3x < 51

x<17

Answer: x<17

EXPLAIN

ekfnkw

Answer:

192 cups is equal to 12 gallons

Step-by-step explanation:

we know that

1 cup=0.0625 gal

or

1 gal=16 cups

Method 1

192 cups=192*0.0625=12 gal

Method 2

192 cups=192/16=12 gal

Answer:

Step-by-step explanation:

Convert 192 cups to gallons. Enter your answers in the boxes.

For the blanks answer it like this

There are   16 cups in 1 gallon. Therefore, 192 cups is equal to  

12  gallons.

Answer:

-51, -41, -38, 13, 41, 50

Step-by-step explanation:

The integers ordered from least to greatest are: -51, -41, -38, 13, 41, 50.

To order the integers from least to greatest, one must start by identifying the negative integers and then the positive integers. Among negative integers, the larger the absolute value, the smaller the number. Conversely, for positive integers, the larger the number, the greater it is.

Starting with the negative integers:

-51 is the smallest because it has the largest absolute value among the negative numbers.

-41 is the next smallest negative number.

-38 is the smallest negative number because it has the smallest absolute value among the negatives.

Now, moving on to the positive integers:

13 is the smallest positive number.

41 is the next smallest positive number.

50 is the largest positive number.

Putting it all together:

-51, -41, -38, 13, 41, 50.

The E3 is the same as writing 10^3.

The answer would be 7.9 x 10^3

Answer:

[tex]\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}[/tex]

Step-by-step explanation:

We know:

[tex]\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet[/tex]

We have

[tex]\sin\theta=\dfrac{1}{2}[/tex]

Use [tex]\sin^2\theta+\cos^2\theta=1[/tex]

[tex]\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}[/tex]

[tex]\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Answer:a

aStep-by-step explanation:    ive done it

The area of a triangle with a base of 6 cm and height of 8 cm, is 24 cm²

Area is the amount of space occupied by a two dimensional shape or object.

The area of a triangle is given by:

Area of triangle = (1/2) * base * height

Assume the triangle has a base of 6 cm and height of 8 cm, hence:

Area of triangle = (1/2) * 6 * 8 = 24 cm²

The area of a triangle with a base of 6 cm and height of 8 cm, is 24 cm²

Find out more on area at: https://brainly.com/question/25292087

Answer:

-36 • (22u + 1)

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -74u - 5  =   -1 • (74u + 5)

Equation at the end of step  2  :

 (6 • (58u + 1)) -  -6 • (74u + 5)

Step  3  :

Equation at the end of step  3  :

 6 • (58u + 1) -  -6 • (74u + 5)

Step  4  :

Pulling out like terms :

4.1      Pull out     6

Note that  -6 =(-1)• 6

After pulling out, we are left with :

     6 • ( (-1)  *  (58u+1) +( (-1)  *  (74u+5) ))

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -132u - 6  =   -6 • (22u + 1)

Final result :

 -36 • (22u + 1)

Answer:

16

Step-by-step explanation:

Let's say x is the number of bowls.  If each bowl needs 3/5 pound of clay, then the total clay needed is 3/5 * x.  We know the total amount is 10 pounds.  Therefore:

10 = 3/5 x

Divide:

x = 10 / (3/5)

To divide by a fraction, we need to multiply by the reciprocal:

x = 10 * (5/3)

x = 50/3

x = 16 ⅔

We can't have part of a bowl, so we must round down.  The potter can make 16 bowls.

Answer:

[tex](\frac{6}{n})-8[/tex] .

Step-by-step explanation:

Given  : "8 less than the quotient of 6 and a number".

To find : expression represents the following word phrase.

Solution : We have given 8 less than the quotient of 6 and a number.

According to question :

Quotient of 6 and n = [tex](\frac{6}{n})[/tex]  .

For less than we will use negative sign.

8 less than the quotient of 6 and a number.

[tex](\frac{6}{n})-8[/tex] .

Therefore,  [tex](\frac{6}{n})-8[/tex]  .

Answer:

(6x-5)(x+2)

Step-by-step explanation:

6x²+7x-10

= (6x-5)(x+2)

[tex]\text{Hey there!}[/tex]

[tex]\text{Both numbers are divisible to 4, so divide the numerator and denominator from 4}[/tex]

[tex]\frac{7,848\div4}{4\div4}[/tex]

[tex]\text{7,848}\div4=1,962[/tex]

[tex]\text{4}\div4=1[/tex]

[tex]\text{1,962}\div1=1,962[/tex]

[tex]\boxed{\boxed{\text{Answer: 1,962}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

2 square root 15, or the second one down

ANSWER

[tex]2 \sqrt{15} [/tex]

EXPLANATION

We want to simplify

[tex] \sqrt{60} [/tex]

There is a perfect square under the radical sign:

[tex] \sqrt{4 \times 15} [/tex] Split the radical sign for both factors:

[tex] \sqrt{4} \times \sqrt{15} [/tex]

Simplify the first factor

[tex]2 \sqrt{15} [/tex]

The second option is correct.

Answer:

g(b)=4b+5

Step-by-step explanation:

because this is how you write it as a function

Answer:

Oxygen and Silicon

Step-by-step explanation:

Oxygen and Silicon make up 75% of the weight of the Earth's crust.

Answer = oxygen and silicone.

Answer:

The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)

Step-by-step explanation:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

f(x)=2x

g(x)= 1/x

(f*g) (x) = f(x) * g(x)

(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of  (f*g) (x) is thus ( -∞, ∞)

Answer:

All real numbers

Step-by-step explanation:

Given : [tex]f(x)=2x[/tex]

           [tex]g(x)= \frac{1}{x}[/tex]

To Find : the domain of (f*g) (x)

[tex]f(x)=2x[/tex]

[tex]g(x)= \frac{1}{x}[/tex]

[tex](f\cdot g)(x)=2x \times \frac{1}{x}[/tex]

[tex](f\cdot g)(x)=2[/tex]

Since the value of [tex](f\cdot g)(x)=2[/tex]

So, the domain of the function is [tex](f\cdot g)(x)[/tex] is all real numbers .