Find the volume of a solid generated by revolving the region bounded by the graphs of the equations about the y-axis. Y= 4(3-x), Y= 0, and X= 0.

Final answer:

The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.

Explanation:

To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.

The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.

The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.

The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.

a) After 4 years the profit will change from negative to positive.

b)after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) after 4 years the profit will be 5.

Step-by-step explanation:

a) After 1 year = 2(1) -6(1) -3

= 2-9

= -7

It's negative

After 2 years = 2(4) -6(2) -3

= 8-12-3

= -7

It's negative

After 3 years = 2(9) -6(3) -3

= 18 - 18 -3

= -3

It's negative

After 4 years = 2(16) -6(4) -3

= 32 -24-3

= 5

It's positive

After 4 years the profit will change from negative to positive

b) after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) profit = 2(16) - 6(4) -3

= 32 -24 - 3

= 5

after 4 years the profit will be 5

Answer:

6.

Step-by-step explanation:

The number of ways = 2 languages * 3 implements

= 6

Answer:

24

Step-by-step explanation:

To determine the number of possible meal combinations at the pizzeria, multiply the number of options for each course, yielding 2 (pizzas) × 3 (sides) × 4 (drinks), which equals 24 possible meals.

To calculate the number of possible meals you can choose from at the pizzeria, you can use the Fundamental Principles of Counting, specifically the Multiplication Principle. The principle states that if one event can occur in m ways and a second independent event can occur in n ways, then the two events can occur in m × n ways together. Since we are dealing with more than two events, we extend this principle.

In this scenario, you have 2 kinds of pizzas, 3 sides, and 4 drinks to choose from. To find the total combinations of meals, you multiply the number of options for each selection. That is:

So, the calculation would be:

2 × 3 × 4 = 24 possible meals.

This calculation shows that there are 24 different combinations of meals that you can choose from when you pick one pizza, one side, and one drink.

Answer:

1:

A'(6,6) B'(5,2) C'(2,6)

2: They are congruent if they have the same shape and size, if not, then they are not congruent

3: Can't answer

Answer:

They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.

We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.

Each transition was the following

1) As shown on diagram 90 flip

We found 67.75° with ABC, then 222.5°  

Meaning 270° from start to finish.

There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.

Step-by-step explanation:

Correction

If 300cm3 are drained out of the container,

Answer:

9.47 cm

Step-by-step explanation:

Volume of the container is given by, V= lwh where l is the length of the container, w is width and h is height.

When filled with water, taking l as 20cm, width as 14.5 cm and height as 10.5cm, the volume of container is

V=20*14.5*10.5=3045 cm3

When 300 cm3 is drained, the remaining volume is 3045-300=2745 cm3

Since the length and width is constant but height varries, the new height will be

20*14.5*H=2745

H=2745/290=9.4655172413793

Rounded off, H=9.47 cm

Answer: Constraints

i got that question its constraints

1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.

A = 8 x 3

2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.

A = (8 x 12) + (5 x 12)

3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.

Triangles = 8 x 3 = 24

Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156

Surface area = 24 + 156 = 180 square centimeters

Hope this helps! :)

Answer:

i think its 13

Step-by-step explanation:

Answer:

the answer is c.

Step-by-step explanation:

that is for the second question

Answer:

Blank 1 is Pythagorean Theorem, 2 is sides, 3 is right, 4 is legs, and 5 is the hypotenuse.

Step-by-step explanation:

Answer:

Step-by-step explanation:

13/28 = 195/420

17/30 =  238/420

So that means that 3 17/30 > 3 13/28

Answer:

(j-3)/3 =k

Step-by-step explanation:

j+2 = 3k+5

Solve for k

Subtract 5 from each side

j+2-5 = 3k+5-5

j-3 = 3k

Divide each side by 3

(j-3)/3 = 3k/3

(j-3)/3 =k

Answer:35X 10^-13

Step-by-step explanation: multiply the coefficient 7x5 add exponents when multiplying

Final answer:

Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

Explanation:

To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.

To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:

20 x 4/1 = 80/1 = 80

Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

Answer:

-11.7 units

Step-by-step explanation:

using the distance formula d= sq route of (x2-x1)squared+ (y2-y1)squared

the distance is found to be the square root of 136, which is 11.66 so round to 11.7

Answer:

13.28

Step-by-step explanation:

range=the difference of biggest number and lowest number

Answer:

i think it's B, but I'm not sure

Answer:

if x = 11 then y = 660

Step-by-step explanation:

when the x increases by 1 at a constant rate, the y increases by 60 at a constant rate

so, if we keep moving forward with the table, you'll easily see that when x = 11, y = 660

The value of y would be 275 more in the table than on the graph when x = 11. Hence the correct option is 4.

The value of y would be 275 more in the table than its value on the graph when x = 11.

By substituting x = 11 into the equation y = 10 + 2x, we get y = 10 + 2(11) = 32 for the graph.

From the table, the corresponding value for y when x = 11 is 307.

Thus, the difference in the value of y between the table and the graph is 307 - 32 = 275.

The answer is 2 because The interquartile range (IQR) is a number that indicates how spread out scores are and tells us what the range is in the middle of a set of scores.

For extra im going to tell you all the quartile ranges.

First Quartile-5

Third Quartile-7

Median-6

Interquartile-2

Answer:

2

Step-by-step explanation:

I SAID 2 I DID THIS QUIZ

Answer:

0.75m

You take the 75cm because that is the height and then you have to convert it to meters I used Google

Answer:

It should be 13/18

Step-by-step explanation:

Subtract the number of orange fish from the total number of fish. The number you get will them be divided by the total number of fish.

18- total number of fish

5-total number of orange fish.

18 - 5 = 13

13 divided by 18

13/18

Answer:

D. Exponential

Step-by-step explanation:

The point are going down at an exponential rate.

Answer:

1.) 1

Step-by-step explanation:

Given:

m∠APB = 19°

To find:

The arc measure of DBC.

Solution:

∠APB and ∠DPC are vertical angles.

By vertical angle theorem:

m∠APB = m∠DPC

m∠DPC = 19°

DB is the diameter of the circle.

Angle measure of diameter = 180°

m∠DPB = 180°

m∠DPC + m∠CPB = m∠DPB

19° + m∠CPB = 180°

Subtract 19° from both sides.

19° + m∠CPB - 19° = 180° - 19°

m∠CPB = 161°

The measure of central angle is equal to the measure of intercepted arc.

m∠CPB = m(ar CPB)

m(ar CPB) = 161°

The arc measure of DBC is 161°.

Given angles:

[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]

To order the angles from least to greatest:

The value of π = 180°

[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]

[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]

[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]

[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]

Order from least to greatest:

60° < 135° < 180° < 360° < 420°

Now write using π:

[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]

Answer:

this is called a Expression

Step-by-step explanation:

Answer:

expression

Step-by-step explanation: