8.
A circular plate has a diameter of 11 inches. An ant walking along the edge makes 1.5 revolutions in 4
minutes. Approximately how many inches does the ant travel in one minute? Round your answer to the
nearest tenth of an inch.

Answers

Answer 1

Answer:

[tex]12.95 \: inches[/tex]

Step-by-step explanation:

We were told that the diameter of the circular plate is 11 inches. In order to find the distance the ants travel to make one revolution we have to first find the circumference of the circular plate. Circumference is:

[tex]2\pi \: r[/tex]

The radius would be half of the diameter (11). Therefore the radius is 5.5.

[tex]r = 5.5 \: \: \: \: \: \pi = 3.14 \\ cir = 2(3.14) \: (5.5) \\ cir = 6.28 \times 5.5 \\ cir = 34.54[/tex]

Since we found the circumference of the circular plate that means that we know how much one revolution made by the ants would be (34.54). Since the ant made 1.5 revolutions we have to multiply 34.54 by 1.5.

[tex]34.54 \times 1.5 = 51.81[/tex]

So we now know that the ant walked 51.81 inches in 4 minutes, now we have to find the distance he would walk in 1 minute.

Let x be the unknown value*

[tex] 51.81 \:inches = 4 \:minutes \\ x \:inches = 1 \: minutes\\ \\ 51.81=4x \\ \\\frac{51.81}{4} = x \\ \\ 12.95 = x[/tex]


Related Questions

please help me with this!

Answers

Answer:

1/2 - 1/8= 4/8 - 1/8= 3/8

Step-by-step explanation:

hope this helps

Evaluate
6x+4y-z. X:4,y:-2,z:3

Answers

Step-by-step explanation:

x = 4

y = -2

z = 3

= 6x + 4y - z

= 6.4 + 4.-2 - 3

= 24 - 8 - 3

= 13

Write 6.14 x 10^-5 in Standard Form

Please help :)

Answers

Answer:

0.0000614

Step-by-step explanation:

Since it’s a -5 it’s 5 places back

Hope this helps! ;-)

solve for x in this proportion.

3/63=16/x

Answers

Answer:

3=6

63=x

x×3 =63×3

x×3= 189

3 3

x=63.

HOPE IT HELPS,BRAINLIEST PLEASE

A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\circ162

162, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

answer is 14.14

Answers

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

What is the value of the expression below written in scientific notation? and explain

Answers

Answer:

10 x 10^7

Step-by-step explanation:

When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:

2.5 x 4 = 10

4 + 3 = 7

10 x 10^7

1) Describe the steps in creating a box plot. What do you have to find to complete a box plot graph? (at least 5 steps) ​

Answers

Answer:

I'm Pretty sure

Step-by-step explanation:

Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...

Step 2: Calculate quartile differences. ...

Step 3: Create a stacked column chart. ...

Step 4: Convert the stacked column chart to the box plot style.

Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?

Item
Amount
Soup
$3.75
Shrimp scampi
$15.00
Iced tea
$2.60
Dessert
$4.25
$26.22
$30.72
$32.00
$35.82

Answers

i’m thinking 32.00 not too sure though

Answer:

It's 30.72

Step-by-step explanation:

Take your total and times it by the percentage (20 in this case) and then divide by 100.

total: 25.60$

tip: 20% of total

25.60 * 20 = 512

512/100 = 5.12

25.60 + 5.12 = 30.72

write a quadratic equation whose roots are -3 and 1/2

Answers

Answer:

See below

Step-by-step explanation:

Use the roots given to make this :

(x+3) (x-1/2)  = 0

   you can do the multiplication (if required) to get

x^2 + 2.5x - 1.5 = 0      now you can multiply by 2 to get rid of the decimals

2x^2 + 5x - 3 = 0

   All three are correct......pick the format you want ....

Mark brainlist to whoever answers first

Answers

Answer:

The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1.  So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.

A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table.

A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled morning with entries 21, 16, 19, 56. The third column is labeled afternoon with entries 17, 25, 20, 62. The fourth column is labeled total with entries 38, 41, 39, 118.
What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent.

21%
25%
40%
61%

Answers

Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

PLEASE HELP ASAP TYSM

Answers

Answer:

306=192-361xj.

Hope this helps!


the function f(x)= -x3 - 7x2 - 7x + 15 has zeros located at -5, -3, 1. verify the zeros of f(x) and explain how you verified them. describe the end behavior of the
function

Answers

The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:

f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0

f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0

f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0

The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

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Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.

Answers

Based on the amounts Julia paid and the percentage rates, the missing amounts are:

$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax.

How much tax did Julia pay?

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

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Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height

Answers

1496.59125cm round to whatever you need

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.

The vertex is the
.

The function is positive
.

The function is decreasing
.

The domain of the function is
.

The range of the function is
.

Answers

The key aspects of the function are

The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0

How to determine the key features?

The function is given as:

f(x) = -(x + 1)^2

From the question, we have:

Vertex = (-1, 0)

Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.

It means that the function is always negative.

Also, the domain of the function is all sets of real number, because it is an exponential function.

The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0

The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity

Read more about quadratic functions at:

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Answer:

The vertex is the maximum value

The function is positive for no values of x

The function is decreasing when x > –1

The domain of the function is all real numbers

The range of the function is all numbers less than or equal to 0

Hope this helped!

ASAP Pls! 6. Which of the following statements about the picture are true? Select two.

(^Image Attached Below^)


Choices:

[] Point A is on the bisector of ∠TXR.

[] Point A is on the perpendicular bisector of Line XT.

[] Point A is on the perpendicular bisector of Line XR.

[] Point A is not on a bisector.

[] Point A is equidistant from points T and R.


I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!

Answers

Answer:

Yes, your choices are correct ...First and last points are true:)

16 > i - 4
Please help me solve this!! ( one-step inequalities )

Answers

Answer:   i < 20

Work Shown:

16 > i - 4

16+4 > i-4+4

20 > i

i < 20

In the second step, I added 4 to both sides to undo the -4

In the last step, I swapped both sides and I flipped the inequality sign.

If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.

Answer:

16>i-4

20>i

Step-by-step explanation:

All you have to do is reverse operation and add 4 to each side

Please help me with this problem

Answers

Answer:

Answer is 41 ft

Step-by-step explanation:

From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h

Using Pythagora's theorem we have,

[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]

Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.

[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]

Therefore the perimeter of the triangle is 41 ft.

What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º

Answers

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

Learn more about the triangle here:

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Which choice could represent the surface area of a pyramid? 75.6 feet superscript 4 75.6 feet cubed 75.6 feet squared 75.6 feet

Answers

The choice that could represent the surface area of a pyramid is  75.6 feet squared

Surface area of a pyramid.

The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.

For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:

TSA = area of 4 triangles + area of the base

Hence the choice that could represent the surface area of a pyramid is  75.6 feet squared

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Answer:

C/3

Step-by-step explanation:

9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Answer:

$18019.37

Step-by-step explanation:

[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]

≈ $18019.37


Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5

Answers

A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Answer:

A) x=5

The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Step-by-step explanation:

Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.7250 x 10^6

Answers

Both of those values are in scientific notation

Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.

Both 9.725 and 9.7250 are inside the inequality mentioned above.

Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.

---------------

If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.

We go from 9.725 to 9,725,000 which is about 9.7 million

In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]

As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.

7829y[tex]\frac{-69}{56x}[/tex] Find the exact value!

Answers

[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]

BRAINLIEST For the fastest answer
Hello I need help on this math question​

Answers

Answer:

B

Step-by-step explanation:

B: $303.75

I hope this helps you and I hope you do well.

Can someone please help me with my math

Answers

Answer:

She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Step-by-step explanation:

26/2 = 13. There's enough flour to make the recipe 13 times over, however,

she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.

26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.

She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.

to make 4 batches of PB:

[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.

so now she'd have 6 cups butter and 18 cups flour leftover.

This means, to make 6 batches CC:

3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

x^2+9=0? I need to find the solutions

Answers

Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Samuel helps his brother paint wails during his summer vacation. He charges $10 for the first room and $5 for each additional room (x) he paints. Which equation could Samuel use the find out many additional rooms he would have to paint to make $50 at one house?

Answers

The correct answer would be 10+5x=50

Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?

Answers

Answer:

4/663.

Step-by-step explanation:

There are  4 aces and 4 2's in a pack of cards.

Prob(First drawing an Ace) = 4/52 = 1/13.

After drawing this card there are now 51 cards left, so:

Prob(Next drawing a 2) = 4/51.

Required probability

= 1/13 * 4/51

=  4/663

Answer:

First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Since we cannot Reduce, There is your answer!

[tex]\frac{4}{663}[/tex]

∫Maybe·Kuro∫

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