Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?

Answer:

x = 7

Step-by-step explanation:

I've attached my work

- im yellow is what the name of the angle is

   - in green is what to do with it

- In blue is me checking my work by plugging x back in

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

∠ACB =  24.35°

Step-by-step explanation:

∠ACB basically means ∠C

tangent = opposite / adjacent

tanx = 5.62 / (3.54 + 3.86 + 5.02)

you are adding all these to get the total of the base length

tanx = 5.62 / 12.42

x = arctan(5.62 / 12.42)

x = 24.34654°

Answer:

The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?

Step-by-step explanation:

So

360° - 284 = 76°

Answer:

£3.6

Step-by-step explanation:

24 = 100% ; x = 15%

Let's make it simple

[tex]\frac{x}{24 } = \frac{15}{100} ; x = 24.15/ 100 ; x=3.6[/tex]

Step-by-step explanation:

ang acb of arc amb= 130°

ang acb of arc apb = 230°

length of arc = 5*230/360 = 3.19 cm

Answer:

68 ft^2

Step-by-step explanation:

The shaded region is a square missing a triangle. Thus, the area of the shaded region = area of square - area of triangle

Thus, we get 8*9 - 1/2 * 2 * 4 = 72 - 4 = 68 square feet.

Answer:

[tex]d = 24mm[/tex]

Step-by-step explanation:

Answer:

  23.028 meters

Step-by-step explanation:

We presume your quadratic equation is intended to be ...

  h(m) = -0.09m² +2m +1.67

where h(m) is the height in meters, and m is the horizontal distance in meters. You want to find the positive value of m when h = 0.

__

The quadratic formula tells you the solution to ...

  ax² +bx +c = 0

In your equation, a = -0.09, b = 2, c = 1.67, and the variable is m. The solutions given by the formula are ...

  [tex]m=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4(-0.09)(1.67)}}{2(-0.09)}\\\\=\dfrac{2\pm\sqrt{4+0.6012}}{0.18}\approx\{-0.806,23.028\}[/tex]

The shot landed about 23.028 meters from where it was thrown.

_____

Additional comment

The shot was launched at an angle of about 63.4° from the horizontal. Had a shallower angle been used with the same launch speed (about 16.5 m/s), the shot would have traveled farther. At about 45°, the distance might have been in excess of 29 meters.

The solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

X + 300 < 450

X <  450 - 300   (subtract 300 on both sides)

X <  150

X ∈ (-∞, 150)

Thus, the solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

Learn more about the inequality here:

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Answer: slope is 7 and y-intercept is 11

Step-by-step explanation:

y = 7 + 5x + 2x + 4

combine like terms

y = 11 + 7x

rearange

y = 7x + 11

slope is 7 and y-intercept is 11

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What is the slope of the line y=7+5x+2x+4? What about the y-intercept?

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

     First, we need to combine like terms:-

                [tex]\Large\text{y=7+4+5x+2x}[/tex]

[tex]\bigstar[/tex] On simplification,

              [tex]\Large\text{y=11+7x}[/tex]

[tex]\bigstar[/tex] We can rearrange the terms a little:-

                        [tex]\Large\textit{y=7x+11}[/tex]

Now we can easily determine the slope and the y-intercept of the line.

                    Slope = number multiplied by x

                     y-intercept = a number added to or subtracted from x

                [tex]\Large\text{Slope=7 \& y-intercept=11}[/tex]

#TogetherWeGoFar

       [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.

The process of making a triangle is known as the construction of the triangle.

Wendell makes a triangular garden using pieces D, E, and F.

Where D, E, and F may be a side of the triangle or angle of the triangle.

To make a triangle we need at least one side of the triangle.

If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.

More about the construction of the triangle link is given below.

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Answer:

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F. 

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

Answer:

Fraction is 6 over 9 percentage is 0.54%

Hope This Helped

Answer:

V≈0.064

Tip:

just to help you for future note with finding volume with fractions is you use a calculator and do the top divided by the bottom and it should give you a decimal

Answer:

This actually is false, it doesn't always work.

Step-by-step explanation:

Such as,

256 x 1/2 =

128.

The last digit isn't a 3, it's an 8.

Another Example,

176 x 1/2 =

88.

The last digit is also an 8 here, and not a 3.

It does work for some equations, but not for most of them, hope this helps!

Answer:

  122

Step-by-step explanation:

To solve for x, undo the operations done to it.

__

  5 = ∛(x +3) . . . . . given

  125 = x +3 . . . . . cube both sides of the equation

  122 = x . . . . . . . . subtract 3

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

Answer:

[tex] \boxed{ \rm\angle P = \tt174{ {}^ \circ} }[/tex]

Step-by-step explanation:

Given,

In a quadrilateral.

To Find:

Solution:

We know that in quadrilateral MNPQ,

[tex] \rm \: \boxed{ \rm ∠M +∠ N +∠ P+ ∠Q = 360 ^{ \circ}}[/tex]

[tex] \rm \implies \: 48 {}^ \circ + 80 {}^ \circ + \angle P + \cfrac{1}{3} \angle \: P = 360 {}^{\circ}[/tex]

[tex] \rm \implies \angle P + \cfrac{1}{3}\angle P = 360 { {}^ \circ} - 48{ {}^ \circ} - 80 {{}^ \circ} [/tex]

[tex] \implies \rm \: \cfrac{4}{3} \angle P = 232 {{}^ \circ} [/tex]

[tex] \rm \: \implies \: \angle P = 232 {}^{\circ} \times \cfrac{3}{4} [/tex]

[tex] \rm \implies \: \angle P = 174{ {}^ \circ} [/tex]

Thus, ∠P will be 174° .

Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

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

B....

Solution,

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

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]

In the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The given quadratic equation is,

[tex]f(x)=x^2+4[/tex]

Equate the equation to zero to solve it further,

[tex]x^2=4\\x^2-4=0\\x^2=4\\x=\sqrt{4}\\x=\pm2[/tex]

Thus, the solution of the equation is +2 and -2. The graph of the equation is attached below.

Hence, in the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

Learn more about the quadratic equation here;

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[tex]\large\bold{{Question :}}[/tex]

A football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.

[tex]\large\bold\red{\underline{Solution:}}[/tex]

Here, let's assume no. of matches played be = x

Given,

[tex]\longmapsto{}[/tex]x = 60

Hence, the number of matches played during the whole year is [tex]\large\bold\red{\underline{60}}[/tex].

apples= 200

bad apples= 15%

how many apples are bad.

[tex] 200 \times \frac{15}{100} [/tex]

[tex] = 30[/tex]

therefore, there are 30 bad apples.

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

The expected value of the profit is $-1 when the student council is hosting a drawing to raise money for scholarships

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event

The expected value of any discrete variable X is calculate as:

E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)

Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.

In this case the variable X is the dollars that can win, so:

X1=$2,000

X2=$300

x3=$20

X4=$0

Then the probabilities can be calculate as:

[tex]P(X_1)=\dfrac{1}{600}\\\\\\P(X_2}=\dfrac{3}{600}\\\\\\P(X_3)=\dfrac{15}{600}\\\\\\P(X_4)=\dfrac{581}{600}[/tex]

Replacing the variables and probabilities on the equation of expected value we get:

[tex]E(X)=(2000\times \dfrac{1}{600})+(300\times \dfrac{3}{600})+(20\times \dfrac{15}{600})+(0\times \dfrac{581}{600})[/tex]

E(X)=$4

Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:

Expected Profit = Expected Earnings - Cost = $4  - $5 = $-1

Finally, the expected value of the profit is $-1

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Answer:

here the answer ask if theres any prob

Answer:

m<C = 180 - (90+32)

= 180 - 122

= 58°

Answer:

150 laptops because 70% of the total devices are laptop computers and desktop computers so the remaining 30% of the devices are tablet. 500×0.30= 150.

Answer:

58 campers,

Step-by-step explanation:

you do 200 - 25 then 175 divided by 3