A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer:

400π

Decimal Form:

1256.63706143

Explanation: To find the around the trail, you'll use the circumference formula.

2πr

2 x 3.14 x 200

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

The value of  x that gives the box the greatest volume is approximately 2.08

The equation of the volume of the box is given as:

V(x) = x(12 - 2x)(13 - 2x)

Expand

V(x) = (12x - 2x^2)(13 - 2x)

V(x) = 156x - 24x^2 - 26x^2 + 4x^3

V(x) = 156x - 50x^2 + 4x^3

Differentiate the function

V'(x) = 156 - 100x + 12x^2

Set to 0

156 - 100x + 12x^2 = 0

Rewrite as:

12x^2 - 100x + 156 =0

Divide through by 4

3x^2 - 25x + 39 =0

Using a graphing calculator, the values of x are:

x = 2.08 and x = 6.26

Substitute these values of x in V(x)

V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16

V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56

The volume cannot be negative.

So, we have:

V(2.08) =  144.16

Hence, the value of  x that gives the box the greatest volume is approximately 2.08

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Answer:

0/5 1/5 2/5 3/5 4/5 5/5  hope this helps

Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.

Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.

As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.

The right side of the equation would be:

= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years

= 3,400 x ( 1 - 17.3%) ^ number of years

Putting them together:

900 = 3,400(0.827)^t.

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For this case we have the following equation for the volume:

[tex]x^3+6x^2-27x=140 < br/ >[/tex]

Rewriting the equation we have:

[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]

We factor the equation to find the roots of the polynomial.

We have then:

[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]

Then, we discard the negative roots, because the dimensions of the figure must be positive.

We have then that the length is:

[tex]x=5 < br/ >[/tex]

The height is:

[tex]x+9=5+9=14 < br/ >[/tex]

The width is:

[tex]x-3=5-3=2 < br/ >[/tex]

Thus, the dimensions are:

[tex]5*14*2 < br/ >[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

Yes..

Add 2 sides together and if it’s larger than the 3rd side it’s possible

6 + 3 = 9, which is larger than 5

3 + 5 =8 which is larger than 6

6 + 5 = 11 which is larger than 3

Answer:

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

so

6+3=9

6+5=11

3+5=8

yes it is possible

Answer:

a. power of a point

b. CE = 4.6

Step-by-step explanation:

a. the power of a point theorem states that BE*BC = BA*BD

b. using the equation above, find CE:

BE * 10 = 3 * 18

BE = 5.4

CE = BC - BE = 10-5.4 = 4.6

Answer:

[tex](-4, -\frac{1}{2} )[/tex]

Step-by-step explanation:

A (-5, -4)

B (-3, 3)

We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]

[tex]= (-4, -\frac{1}{2} )[/tex]

hope this helped! :)

Answer:

10

Step-by-step explanation:

✓(y1-y2)²+(x1-x2)²

✓(2-8)²+(1-9)²

✓(-6)²+(-8)²

✓36+64

✓100

=10

Answer:

10

Step-by-step explanation:

Explanation:

One root (aka x intercept) is at x = 0

The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5

After this point, the curve repeats itself. This means the period is 5 units.

The graph repeats itself every 5 units, aka the cycle is 5 time units long.

Answer:

Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours

Answer:

Shade 10 of the pieces.

Step-by-step explanation:

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

From inspection of the graph, the first four terms of the sequence are:

Each x-value increases by 1 for each consecutive term.

Each y-value is the previous y-value multiplied by -2.

Therefore, it is a geometric sequence with a common ratio of -2.

Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:

So, the next term of the sequence is represented by the point (5, –64)

Answer:

[tex]29i[/tex]

Step-by-step explanation:

From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]

= [tex]29i[/tex]

hope this helped! :)

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Answer:

7 Centimeters

Step-by-step explanation:

By taking the product between density and volume we will see that the mass is 284.2 kg

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

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Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

Answer:

AB = 12 in

Step-by-step explanation:

given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )

AB = [tex]\sqrt{144}[/tex] = 12

Answer:

AB = 12 in

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant: a straight line that intersects a circle at two points.

Tangent: a straight line that touches a circle at only one point.

Given:

[tex]\sf AB^2=BD \cdot BC[/tex]

[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]

[tex]\implies \sf AB^2=18 \cdot 8[/tex]

[tex]\implies \sf AB^2=144[/tex]

[tex]\implies \sf AB=\pm\sqrt{144}[/tex]

[tex]\implies \sf AB=\pm 12[/tex]

As distance is positive, AB = 12 in

Answer:

25% decrease

Step-by-step explanation:

Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100

80 - 60 = 20

20 / 80 = 0.25

0.25(100)= 25%

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below: