Question content area top
Part 1
Challenge  An orange juice company is designing cylindrical containers for their juice. The containers are going to hold the same volume and have the same height as the prism shaped container. What is the radius of the cylindrical​ container? Use 3.14 for pie

Answer:

4th is the answer

Step-by-step explanation:

Answer:

the measure of <ABD = 1/2 the measure of <ABC is the answer :)

Step-by-step explanation:

The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

Learn more about constraints here

brainly.com/question/32387329

#SPJ11

What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

Hi!

circumference of a circle = \(2\pi r\).

\(2\pi 18\)

\(36\pi\) \(inches\)

(if you use 3.14 as pi, then it would be 113.04 inches)

For more information, see:

https://brainly.com/question/15747260 (extremely good answer!)

https://brainly.com/question/12259848

Answer:

\(\large\boxed{\tt C = 36 \pi \ in.}\)

Step-by-step explanation:

\(\textsf{We are asked to find the circumference of a circle. There are 2 ways to find the}\)

\(\textsf{Circumference of a circle, including the Radius and the Diameter, either given}\)

\(\textsf{can be used to find the Circumference.}\)

\(\large\underline{\textsf{What is Circumference?}}\)

\(\textsf{Circumference is the area of the perimeter of the circle. Think of the Perimeter}\)

\(\textsf{of shapes, all the sides are added together. The same is with Circles, but it's}\)

\(\textsf{different since Circle's do not have any sides, instead they have arcs. Hence,}\)

\(\textsf{we can say that the Circumference is the sum of all the arcs of a circle.}\)

\(\underline{\textsf{How are we able to find the Circumference?}}\)

\(\textsf{We are able to find the Circumference by using pi, and the radius or diameter.}\)

\(\textsf{The Diameter is multiplied by Pi to equal the exact value of the Circumference.}\)

\(\textsf{It's similar with the Radius, however we have to multiply the Radius by 2 to equal}\)

\(\textsf{the diameter.}\)

\(\underline{\textsf{Formulas;}}\)

\(\tt C = 2 \pi(Radius)\)

\(\tt C = \pi(Diameter)\)

\(\large\underline{\textsf{Finding the Circumference;}}\)

\(\textsf{Since we are given the Radius, let's multiply the Radius by 2.}\)

\(\tt C = 2 \pi (18)\)

\(\tt C = 36 \pi\)

\(\textsf{Now, because the question stated "in terms of pi", this means that we should}\)

\(\textsf{incl\textsf{u}de pi in our answer.}\)

\(\large\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt C = 36 \pi \ in.}\)

\(\large\underline{\textsf{Learn more about Circumference;}}\)

https://brainly.com/question/27920657

Answer:

$345 : whichever is closest

Step-by-step explanation:

Pants were $20 each and she bought 9 of them so multiply:

9x20=180

She paid $180 for 9 pants.

Shirts cost $15 each and she bought 11 of them so Mulitply:

15x11=165

She paid $165 for 11 shirts

Add both totals from pants and shirts

165+180=$345

Answer: 350

Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.

The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle.

The orthocenter is the intersection of the three altitudes of the triangle. It is a point on the plane of the triangle that is equidistant from the three sides of the triangle.

To find the orthocenter of a triangle, you can draw the altitudes of the triangle and find the point where they intersect. The orthocenter is the point of concurrency for the three altitudes.

An orthocenter of a triangle is a point where the three lines that are perpendicular to the sides of the triangle intersect. These lines are called altitudes of the triangle.

Alternatively, you can use the following formula to find the coordinates of the orthocenter:

Let's say that the vertices of the triangle are A(x1, y1), B(x2, y2), and C(x3, y3). The coordinates of the orthocenter (H) can be found using the following formula:

Hx = ( (y1 - y3) (x1^2 + y1^2 - x3^2 - y3^2) - (y1 - y2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (y1 - y3) - 2 * (y1 - y2))

Hy = ( (x1 - x3) (x1^2 + y1^2 - x3^2 - y3^2) - (x1 - x2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (x1 - x3) - 2 * (x1 - x2))

Therefore, The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle

To learn more about orthocenter,

Visit; brainly.com/question/29576583

#SPJ4

Answer:

couldnt tell you i was always bad at algebra

Step-by-step explanation:

There are four degrees of freedom for the chi-square goodness-of-fit test in this study. So, correct option is B.

For a chi-square goodness-of-fit test in the context of testing the fairness of a spinner with five sections, the number of degrees of freedom can be determined by subtracting 1 from the number of categories being tested.

In this case, since the spinner has five sections, there are five categories. Therefore, the degrees of freedom for the chi-square goodness-of-fit test would be:

Degrees of freedom = Number of categories - 1

= 5 - 1

= 4

Degrees of freedom represent the number of values in the final calculation of the chi-square test statistic that are free to vary. It determines the critical values and the distribution of the test statistic.

In the case of the chi-square goodness-of-fit test, the test compares the observed frequencies in each category with the expected frequencies under the assumption of fairness. By comparing these frequencies, the test determines if there is a significant deviation from the expected distribution, indicating unfairness in the spinner.

So, correct option is B.

To learn more about chi-square click on,

https://brainly.com/question/31797551

#SPJ4

Answer:

0.436 ≠ 0.064

Step-by-step explanation:

P(A and B)=P(A) x P(B)

0.436 = 0.4 x 0.16

0.436 ≠ 0.064

The length of the minor arc AB is approximately 16.8 cm (to 1 decimal place).

To find the length of the minor arc AB, we need to calculate the circumference of the entire circle and then find the fraction of the circumference represented by the central angle OAB.

The formula for the circumference of a circle is given by C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the circle is 68 cm, we can calculate the circumference:

C = πd

C = π(68 cm)

C ≈ 213.628 cm

Now, to find the length of the minor arc AB, we need to find the fraction of the circumference represented by the central angle OAB. Since the central angle is given in degrees, we can use the formula:

Length of minor arc AB = (Central angle/360°) * Circumference

Length of minor arc AB = (28°/360°) * 213.628 cm

Length of minor arc AB ≈ 16.776 cm

for such more question on length

https://brainly.com/question/20339811

#SPJ8

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

To learn more click the below link

https://brainly.com/question/14214111

#SPJ11

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

Find inverse of given function :

\(\qquad❖ \: \sf \:y = \sqrt{x} + 7\)

\(\qquad❖ \: \sf \: \sqrt{x} = y - 7\)

\(\qquad❖ \: \sf \:x = (y - 7) {}^{2} \)

Next, replace x with f-¹(x) and y with x ~

\(\qquad❖ \: \sf \:f {}^{ - 1} (x) = (x - 7) {}^{2} \)

we got our inverse function.

Condition : x should be greater or equal to 7

because we will get same value of y for different x if we also include values less than 7.

\( \qquad \large \sf {Conclusion} : \)

\( \huge\mathbb{ \underline{SOLUTION :}}\)

\(\longrightarrow\bold{f(x)= \sqrt{7}}\)

To solve for the inverse of a function we begin by re-writing the function as an equation in terms of y.

\(\bold{Becomes,}\)

Next step we switch sides for x and y variables and then solve for the y variable as shown below,

\(\longrightarrow\sf{y= \sqrt{x}+7}\)

\(\bold{Then,}\)

\(\longrightarrow\sf{x= \sqrt{y}+7}\)

\(\small\bold{Solve \: for \: y \: and \: subtract \: 7 \: from \: the \: both \: }\) \(\bold{sides,}\)

\(\longrightarrow\sf{x-7= \sqrt{y}}\)

\(\small\bold{Square \: both \: sides }\)

\(\sf{(x-7)^2=(\sqrt{y})^2}\)

\(\sf{(x-7)^2=y}\)

We now re-write in function notation. Take note however that this is the inverse:

\(\bold{Where \: y}\) \(\sf{=(x-7)^2 }\)

\(\longrightarrow\sf{y= (x-7)^2 }\)

\(\huge\mathbb{ \underline{ANSWER:}}\)

\(\large\boxed{\sf A. \: \: f^{-1}(x)= (x − 7)^2 , \: for \: \underline > 7 }\)

Answer:

7=x

Step-by-step explanation:

multiply 5 and 2x by 2, you'll then have (10+4x)=-4+6x. Then add 4 to both sides and you have (14+4x)=6x. Subtract 4x from both sides and that'll get you 14=2x and you divide 2 from each side to get x by itself so 7 is your answer.

The required equation of the ellipse is [y - 6]²/25 + [x + 4]²/4 = 1. Option C is correct.

The equation of the ellipse with a vertical major axis, center at (–4, 6), a = 5, and b = 2 is to be determined.

Ellipse is a cross-section part of a cone structure when cutting it out a horizontal cross-section of a cone.

Here,
The standard equation of the ellipse as the vertical major axis is given as,
[y - k]²/a² + [x - h]²/b² = 1
Substitute the given values in the above equation,
[y - 6]²/25 + [x + 4]²/4 = 1

Thus, the required axis of the ellipse is [y - 6]²/25 + [x + 4]²/4 = 1. Option C is correct.

Learn more about ellipses here:
https://brainly.com/question/14281133

#SPJ1

Answer:

100

Step-by-step explanation:

130 - 30 = 100

Answer:

im having trouble to

Step-by-step explanation:

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as \(\frac{rise}{run}\).  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

To learn more about limit visit:

https://brainly.com/question/7446469

#SPJ1

=======================================================

The Distributive Property states the following:-

\(\longrightarrow\sf{a(b+c)=ab+ac\)

Where

\(\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}\)

Now, let's use this property to simplify our expressions.

The first one is

\(\bigstar{\underline{\boxed{{4(x+2)}}}\)

Simplify by distributing 4:-

\(\longrightarrow\sf{4~times~x~+4~times~2}\)

Add the products:-

\(\longrightarrow\sf{4x+8}\)

\(\rule{250}{2}\)

Solve the next one:-

\(\bigstar{\underline{\boxed{\sf{-5(9+x)}}}\)

Distribute -5 & add the products:-

\(\longrightarrow\sf{-45-5x}\)

\(\rule{250}{2}\)

Solve the last one:-

\(\bigstar{\underline{\boxed{7(x-3)}}\)

Distribute 7:-

\(\longrightarrow\sf{7x-21}\)

======================================================

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

7/3 t^(3/2) + C This equation represents the volume of water in the tank as a function of time t.

The equation r(t) = 7t √ represents the rate at which water is flowing into the tank, measured in cubic feet per hour, at time t after 9:00am. The expression 7t √ means that the rate of flow increases over time, starting at 0 cubic feet per hour at t = 0 and increasing as t increases.

To find the volume of water in the tank at a specific time t after 9:00am, we can integrate the rate of flow over the time interval from 9:00am to t. The volume of water in the tank at time t can be expressed as:

V(t) = ∫ r(t) dt from 9:00am to t

= ∫ 7t √ dt from 0 to t

= 7/3 t^(3/2) + C

where C is an arbitrary constant of integration. This equation represents the volume of water in the tank as a function of time t.

Therefore, 7/3 t^(3/2) + C This equation represents the volume of water in the tank as a function of time t.

To learn more about equations,

Visit; brainly.com/question/29657983

#SPJ4

Answer:

qualative numbers are not numbers. discretive data are numbers.

Step-by-step explanation:

Answer:

-1/7 is greater than all of the given numbers except for -0.1.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Easy pythagorean theorum question.

The law states that "A squared plus B squared, equals C squared."

A and B are the two sides that border the 90 degree mark.

C is the hypotenuse or the longest side/diagonal.

Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know

2^2 + ?^2 = \(\sqrt{13^{2} }\)

So

4 + ?^2 = \(\sqrt{13^{2} }\)

Since the 13 is already squared in side of a root, it stays as 13

4 + x^2 = 13

4 - 4 + x^2 = 13 - 4

x^2 = 9

x^2 root = root of 9

x = 3

The missing side is 3.

Or you could use an online calculator xD

Answer:

100×38

Step-by-step explanation:

Add the 75 and the 25, then that is what you multiply with 38

Answer:

hope you can understand

Answer:

Right here-Keshi

Step-by-step explanation:

Thanks for the points! <3

Honey! Ft Dean By Tabber

Answer:

x=24

Step-by-step explanation:

ahh yes, geometry.

Let's start with angle CDA. This one would be equal to 2x because of Alternative interior angles.

Because all of the angles in a triangle are equal to 180 degrees, we can say that the angles in triangle CDE are equal to 180 degrees when added up. So, we get the equation:

3x+60+2x=180

Simplify to 5x+60=180

Subtract 60 from both sides

5x=120

Divide by 5 on both sides

x=24

The quilt consist of the following geometric shapes, which are the areas

bounded by lines, including;

Geometric shapes are shapes with boundary lines, interior angles and

surfaces.

The possible given quilt is attached;

From the given quilt, we have;

An octagon

A pentagon

A right isosceles triangle

An equilateral triangle

Learn more about types of geometric shapes here:

https://brainly.com/question/1259159