A designer is adding a pendant to a jewelry collection. The shape of the pendent can be defined by the equation y = StartFraction 1 Over 20 EndFraction x squared EndFraction. If the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1. 25 cm 2. 50 cm 5 cm 10 cm.

Answers

Answer 1

The greatest length of the considered pendent is given by: Option A: 1.25 cm

What does graph of a function represents?

Suppose the considered function is [tex]y = f(x)[/tex]

Then, we will plot points as [tex](x,y) =(x,f (x))[/tex] for all values of 'x' which are in domain of the function.

For this case, the given function's graph (the graph of [tex]y = \dfrac{x^2}{20}[/tex] ) is shown below.

We're given that the largest dimension is of 10 units.

Let this be the line segment parallel to the x-axis, intersecting y-axis at [tex]y = y_0[/tex]

Now, since the curve is symmetric over (as for x or -x, we get same y), so the line segment that is parallel to x axis also intersects the graph at symmetric places. Let those points be in front of [tex]x_0[/tex] and [tex]-x_0[/tex]

For those inputs, the output is [tex]y = y_0[/tex],

Also, we have length of the line segment as of 10 units, this is the difference between those symmetric inputs.

Thus, we get two equations:

[tex]x_0 - (-x_0) = 10[/tex]

[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}[/tex]

From first one, we get:

[tex]x_0 = 10/2= 5[/tex]

Thus, we get:

[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}\\\\f(5) = y_0=\dfrac{25}{20} = 1.25[/tex]
Since the length of y_0 is the shortest distance from x-axis to that parallel line segment, this is the second dimension needed.

Thus, the greatest length of the considered pendent is given by: Option A: 1.25 cm

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A Designer Is Adding A Pendant To A Jewelry Collection. The Shape Of The Pendent Can Be Defined By The

Related Questions

The product of -6 and a number

Answers

Answer:

-6x

Step-by-step explanation:

This is correct because an unknown product is always classified as a variable or a most common used one, X. The product of -6 with an uknown variable, also known as a number, is -6x. Hope this helped and have a Great Day!!!

The product of 6 ...

Please 40 points and will mark as a brainlest

Answers

Answer:

If it is raining, then soccer practice is cancelled

If soccer practice is cancelled, then you can go to the mall

Step-by-step explanation:

p then q

q then r

p, r

Which ratios are equivalent? PLEASE EXPLAIN :D

A) 6/8, 2/3
B) 1/5, 12/15
C) 9/12, 3/4
D) 10/12, 5/7

Answers

Answer:

C) 9/12, 3/4

Step-by-step explanation:

To find which ratios are equivalent, we have to simplify them.

A)

6 and 8 have a GCF of 2, so 6/2 = 3, and 8/2 = 4. We do not get 3/4 as the fraction- we get 2/3. Thus, this cannot be the correct answer.

B)

The GCF of 12 and 15 is 3, so 12/3 = 4, and 15/3 = 5. We do not get 4/5 as the fraction- we get 1/5. Thus, this cannot be the correct answer.

C)

The GCF of 9 and 12 is 3, so 9/3 = 3, and the 12/3 = 4. We get the fraction as 3/4, which 3/4 = 3/4

Therefore, the answer is C).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The answer to this question is: C

Write an equation for the proportional relationship shown in the table.
x 0.5 1 1.5 2
y 27 54 81 108

Answers

Answer:

y = 54x

Step-by-step explanation:

→ Divide one y value by its corresponding x values

27 ÷ 0.5 = 54

can some one help plz

Answers

Answer:

i believe its 8 to 12 im not exactly sure of my answer

Step-by-step explanation:

A chemistry experiment requires 825.00 grams of sucrose and you have
30.00 ounces available, is there enough? (28 grams = 1 ounce)
Mathematically show your answer, no credit will be giving for just writing
yes or no.*

Answers

Answer:

yes

Step-by-step explanation:

you first need to convert the 825 grams to about 29.46 ounces if you round to the hundredths place (825/28) then you can see that 30>29.46 so you will have a bit extra sucrose after doing the expirement

Renee is walking to a store that is 2. 5 kilometers from her house. After 700 meters, she stops at her friend’s house
What is the distance that Renee will walk from her friend’s house to the store?

Answers

Because she stopped at her friend's house on the way to the store, it can be seen that there is no detour. This means that the distance between her friend's house to the store is a subtraction problem

2.5 km - 700m=2500m-700m=1800m or 1.8km

I hope this helps fell free to ask any questions about this explanation.

The measure of angledcg is 145°. point c has four lines extending from it. one line extends to point d, another extends to point e, another extends to point f, and another extends to point g. angle e c f is 20 degrees. angle f c g is 25 degrees. what is mangledce? 90° 100° 180° 190°

Answers

The measure of ∠DCE is 170°.

∠ECF = 20°

∠FCG=25°

∠GCD=145°

Suppose ∠DCE = x

What is the sum of all angles at a point?

The Sum of all angles at a point is 360°.

∠ECF +∠FCG+∠GCD+∠DCE =360°

20+25+145+x =360

x =170°

∠DCE = 170°

Therefore, the measure of ∠DCE is 170°.

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Answer:

100 degrees

Step-by-step explanation:

the above answer is wrong i am right on edge 2022

please help meeee i don’t understand

Answers

The answer is A) SSS (side-side-side)

The triangles sides are equal and congruent.

Find the values of the variables for the parallelogram.

mZ1 = 5y – 20

X=

Y=

Z=

Answers

Answer:

Step-by-step explanation:

Find ABC
need help asap pls
will give brianliest

Answers

Answer: 79 degrees

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth. 6 5​

Answers

Answer:

7.81

Step-by-step explanation:

Pythagorean theorem

[tex]\sqrt{6^{2} +5^{2} }[/tex]

[tex]\sqrt{61}[/tex]= 7.81

c = 7.81

Law of Cosines

[tex]c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }[/tex]

[tex]c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }[/tex]

c = 7.81

Need help ASAP please

Answers

Answer:

5 inches is 5 times as big as 1 inch.12.7 centimeters is 5 times as big as 2.54 centimeters.

Step-by-step explanation:

5 ÷ 1 = 512.7 ÷ 2.54 = 5

I hope this helps!

please help! Find the value of the convergent series:

Answers

Answer:

2.25

Step-by-step explanation:

Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.

We can also represent this as a summation series of

[tex]Σ3( - \frac{1}{3} ) {}^{n - 1} [/tex]

Since we can represent this a summation series, we can use that convergent value is equal to

[tex] \frac{a _{1} }{1 - r} [/tex]

where a1 is initial term and r is common ratio.

R is -1/3

A1 is 3.

[tex] \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25[/tex]

So the answer is 2.25

PLEASE HELP WILL MARK BRAINLIEST
Explain how to find the mean of a set of data
PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE

Answers

Answer:

The mean is the average of a data set. You can find the mean by adding all of the numbers in the guven set of data and then divide by the total number of values in a set.

Step-by-step explanation:

for example:

2, 6, 8, 13, 16, 11, 7

add all of these numbers together

the total would be 63

there are 7 numbers in the data set so you would divide 63 by 7

the mean of the data set would be 9

Answer:

The average of the numbers is the mean. After adding up all the numbers, divide by the number of numbers. You must add all the values in a data set together and divide by the number of values in the collection to determine the mean. The end product is yours!

I hope this helps! ^-^

The height of a right rectangular prism is 3 units greater than the length of the base. the edge length of the square base is x units. which expression represents the volume of the prism, in cubic units? x3 9 x3 3x2 x3 3x 3 x3 6x2 9x

Answers

The equation for the volume of the prism will be given as  V=x^3+3x^2

What will be the equation of volume of the prism?

The volume of the prism is given by the following formula

[tex]\rm Volume = Width\times Length\times hieght[/tex]

Here we have a condition in the question that

The height of a right rectangular prism is 3 units greater than the length

[tex]h=x+3[/tex]

length will be l = x

The width will be w=x

now by putting the value in the formula we get

[tex]\rm Volume = w\times L\times h[/tex]

[tex]\rm Volume = x \times x \times (x+3)[/tex]

[tex]\rm Volume = x^3+3x^2[/tex]

Thus the equation for the volume of the prism will be given as  [tex]V=x^3+3x^2[/tex]

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Which inequality is true when the value of s is 14?

Answers

Link an image?

There's nothing here.

Asking again: Select the correct statements

Answers

The answer is B and E

The value of x in the given proportion is:
x/9= 9/3
(those are fractions)

A 12
B 15
C 45
D None of these choices are correct.

can someone please help me??​

Answers

Answer:

D None of these choices are correct.

Step-by-step explanation:

The value of x is 27.

[tex]\frac{x}{9} = \frac{9}{3}[/tex], x = 9 x [tex]\frac{9}{3}[/tex] = 27

Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

Answers

Answer:

Area =  3π.

Step-by-step explanation:

This is 3/4 of a circle whose area is 3/4πr^2

= 3/4 * 2^2 * π

= = 3/4 * 4 *  π

= 3π

I WILL GIVE BRAINLIEST AND THANKS!! PLEASE SOMEONE HELP also ignore the answers i already wrote down

Answers

Answer:

1. Plane (anything you want after that) or parallelogram

2. point b

3. line UV

4. point x and point y

5. line cd

6. point p r and q also has a plane that is not named

7. line rs

8. point k point m point n has a plane that is not named.

9. point t point u point v

Step-by-step explanation:

That's what they are.

Answer:

1. Plane

2. Point B

3. Line UV

4. point xy

5. line CD

6. point PRQ

7. line RS

8.Point KMN

9. Point TUV

Brainliest please

please help! :0
Which of the following is not a characteristic of a point?

A. Flat surface
B. Named using a capital letter
C. No depth or width
D. Undefined term

Answers

Answer:

D. Undefined term

Step-by-step explanation:

Points are flat surfaces, named using a capital letter, and have no depth or width because they are on a FLAT plane. Just like lines are named "line A", are on a flat surface, and have no depth or width, points also share these characteristics because they are all on a plane. However, a point is not an undefined term, it is a defined term.

A point is a geometric feature used for the definition of geometric objects

The option which is not a characteristic of a point is option A:

A. Flat surface

The reason for the above selection is as follows:

A point in Euclidean geometry is a concept that defines an exact spatial location

The characteristics of a point are:

A point only represents position, it has no dimensions; It does not have a thickness, width, or lengthThe explanation given of a point is made by use of descriptions or examples and therefore, a point is considered an undefined termA point can be denoted or named using capital letters and represented using dots

A flat surface is defined by three noncolinear points

Therefore;

The given option which is not a characteristic of a point is therefore option A. Flat surface

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An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33. What is the angle of refraction rounded to the nearest whole number? 22° 24° 30° 42°.

Answers

The measure of the angle of refraction is 22 degress, the correct option is A.

What is the angle of refraction?

The angle made by a refracted ray with a perpendicular to the refracting surface.

Given

An incident ray of light strikes water at an angle of 30°.

The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.

In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.

The angle of the refraction is given by;

[tex]\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22[/tex]

Hence, the measure of the angle of refraction is 22 degress.

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Answer:

The angle of refraction is 15°.

Step-by-step explanation:

Brenda utility bill was $175 in august and $70 in October.Why is it more in August than October. How much more???

Answers

Answer:

Because she used the AC

Step-by-step explanation:

It is $105 more in August than in October.

Answer:

this is easy

105 more

Step-by-step explanation:

emmitheblackbobcat:)

Just before midnight, the first musher, William “Wild Bill” Shannon, left Nenana. It was -50ºF. When he took his first break, it was 12º colder. What was the temperature?

Answers

Answer:

-62°F

Step-by-step explanation:

it said it got colder so it got lower not higher

Getting colder means there was temperature reduction
(ie the hotter the temperature the higher its value and the colder the temperature the lower its value)
Hence the temperature was
= -50 - 12
= -62 °F

Help on this? thanks (:

Answers

Answer:

D

Step-by-step explanation:

24-6 = 18 32-6x3=18

Hope this helped!

Answer:

the answer is D. 6 bottles

View the screenshot and answer please. 20 points will give brainliest!

Answers

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

can you prove that:
a² + b² ≥ -2ab ?​

Answers

Answer:1a+1b> -2ab

Step-by-step explanation:

The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?

Answers

Answer:

The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.

Step-by-step explanation:

From the bar chart,  we can see that 100 goats were present at fair X and Y

Let us now calculate the percentage of goats at each fair:

Fair X = 100/645 * 100 = 15.5%

Fair Y =100/590 *100 = 16.9 %

Hence there was a greater percentage of goats at fair Y than at fair X.

The bar chart is missing and so i have attached it.

Also, the question is incomplete and the missing part of the question is;

Which of the following statements is supported by the bar chart?

a) The total number of cows, pigs, and horses combined is less at fair X than at fair Y.

b) Fair X has at least 20 more chickens than fair Y.

c) At fair X, the number of sheep is twice the number of horses.

d) The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.

e) The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.

The only Statement that supports the bar chart is statement E.

A) Looking at the bar chart attached, we can see that;

At fair X: Cows = 50, Pigs =60, Horses = 80. Total = 50 + 60 + 80 = 190

At fair Y:  Cows = 60, Pigs = 80, Horses = 40. Total = 60 + 80 + 40 = 180

Total in fair X is greater than total in fair Y. Therefore statement in question is false.

B) From the bar chart;

At fair X; chickens = 90

At fair Y; chickens = 80

Difference = 90 - 80 = 10

Thus,statement in question is wrong.

C) At fair X;

Sheeps = 140

Horses = 80

Twice number of horses is not same as sheep. Thus, statement in question is wrong.

D) Total number of animals at fair Y = 60 + 80 + 40 + 80 + 100 + 90 + 140 = 590

Percentage that are goats = 100/590 × 100 = 16.95%

Total number of animals at fair X = 50 + 60 + 80 + 90 + 100 + 125 + 140 = 645

Percentage that are goats = 100/645 × 100 = 15.5%

The percentages are not equal and so the statement in the question is wrong.

E) True because from D above percentage that are goats at fair Y are more than the percentage that are goats at fair X.

“Deandre will donate up to $500 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation,
Deandre would like the famount donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund. Let x denote
the amount of money (in dollars) donated to the City Youth Fund, Let y denote the amount of money (in dollars) donated to the Educational Growth Foundation,
Shade the region corresponding to all values of x and y that satisfy these requirements” please help I’ve been stuck on this forever.

Answers

Answer:

$375 to Educational Growth Foundation

Step-by-step explanation:

$125 to City Youth Fund

Hope this helps.

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