Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is π meters.

Which measurement is closest to the area of the sculpture in square meters?


31.4 m²


78.5 m²


62.8 m²


314 m²

Answer:

12 sin 75°

Step-by-step explanation:

See the attached images!

Answer:

56

Step-by-step explanation:

To find the area of a rectangle we have the foruma A=WxL.

But we already have the area and length so we can plug that in

5488=Wx98

Now its an algebreic expression.

SInce its multiplying we do the opposite, so we divide 98 on both sides.

98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.

A=56x98

A=5488

Answer:

t^v=w

Step-by-step explanation:

if y=b^x then x=logbY

b= base

for example:

log2(8)=3

2^3=8

Step-by-step explanation:

estimation of 6$+_+_?_!(_

Answer:

The number in the middle

Answer:

the answer is the one fully in line like perfect like pyramid

Step-by-step explanation:

I took the test

Answer:

$5,505

Step-by-step explanation:

Compound interest formula :

Solving after substituting the given values :

Answer:

Hello, please send me which of these 3 numbers is the base or height. You can also just send me an image of this. I need this because the area can change based on which value is which. However, I will still tell you how to solve the problem.

The equation for finding the area of a trapezoid is A=((a+b)/2)*h. Now, you just have to plug in your values that were given to you.

Answer:

[tex]859.855[/tex]

Step-by-step explanation:

You start with the current amount:

[tex]747.7[/tex]

First calculate [tex]15\%[/tex] of [tex]747.7[/tex]:

[tex]747.7 \cdot 0.15 = 112.155[/tex]

Now add that new value back into the original amount:

[tex]747.7 + 112.155 = 859.855[/tex]

As a trick to speed things up, you can calculate it in one expression:

[tex]747.7 \cdot 1.15 = 859.855[/tex]

Answer: 6

Step-by-step explanation:

If the lines are parallel, then this means that by the corresponding angles theorem, the two angles marked in the image are congruent.

If we consider the right triangle, then by the exterior angle theorem, [tex]4x+90=11x-8 \longrightarrow x=14[/tex].

So, if [tex]x=14[/tex], then the indicated angle measures [tex]56^{\circ}[/tex], and since vertical angles are congruent, [tex]9y+2=56 \longrightarrow \boxed{y=6}[/tex]

Answer:

A and D

Step-by-step explanation:

Answer:

A and D is correct

Step-by-step explanation:

just did test on edg

Answer:

[tex]37 - c = x[/tex]

Step-by-step explanation:

We'll use c to represent the amount taken away (subtracted) and x to represent the amount left (the answer).

We begin with 37 balloon, and take away c amount to make x.

37 - c = x

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation:

y = 2(x + 1)

y = 2x + 2

slope = 2

y = mx + b

y = 2x + b

Point: (2/3, 1/3)

1/3 = 2(2/3) + b

1/3 = 4/3 + b

b = -3/3

b = -1

y = 2x - 1

The exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

f(x)=a.bˣ

Here, x is the variable in the power of a number, b is a constant which is known as the change factor and a is the initial value of the function.

Here, in the graph, it passes from the (0,2) and (2,0) from x and y axis. it tells us that the initial value of is 2.

a=2

The graph is plotted on right side in opposite way, which tells the value of b is in the reciprocal. Thus,

b=1/4.

Put the values as,

f(x)=a.bˣ

f(x)=2.(1/4)ˣ

Hence, the exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

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Answer:

640; 581 R 90; 90

Step-by-step explanation:

you can round 110 to 100

64000/100 is simply 640

then you do the real math

the quotient is 581 r 90

this means the remainder is 90

Answer:

About 588 students.

Step-by-step explanation:

78% = 0.78

Therefore, we can conclude the following:

78% of 754 = 754 * 0.78 = 588.12

Answer:

6 visits

Step-by-step explanation:

Here the involved variables should be :

⇒ y = total number of rewards points

⇒ x = number of visits to the movie theater

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

Given :

⇒ points earned on signing up = 60

⇒ points per visit = 9.5

⇒ total points required = 117

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

Making the equation :

⇒ y = mx + b

⇒ m = points earned per visit

⇒ b = points earned on signing up

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

Solving by substitution :

⇒ 117 = 9.5x + 60

⇒ 9.5x = 117 - 60

⇒ 9.5x = 57

⇒ x = 6 visits

If Latanya receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. Then 6 visits Latanya make to earn a free ticket.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that,

Latanya has 60 rewards points just for signing up.

For each visit to theatre she earns 9.5 points.

To get free ticket she has to have 117 points.

We need to find how many visits she has to do to get free ticket.

We use Linear equation to solve this

Let y = total number of rewards points

x = number of visits to the movie theater

m=Points for each visit

y=mx+b

117=9.5x+60

Subtract 60 on both sides

117-60=9.5x

57=9.5x

x=6

Hence she has to make 6 visits to earn a free ticket.

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The circumference of the given circle.

In order to find the circumference, first we'll have to find the raduis.

[tex]d = 2r[/tex]

[tex] \frac{8}{2} [/tex]

[tex] = 4 \: ft[/tex]

Now, we can work out the volume.

[tex]\huge\boxed{Fomula: C = 2\pi {r}}[/tex]

[tex] c= 2 \times \pi \times 4[/tex]

[tex]c = 25.13274 \: {ft}[/tex]

[tex]\large\boxed{C = 25.13 \: ft\: (2 \: d.p)}[/tex]

Hence, the circumference of the given circle is 25.13 feets.

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

Answer:

b = 13√3

c = 26

Step-by-step explanation:

tan 30  = a /b

b = a/ tan 30 = 13 / (1/√3) = 13√3

sin 30 = a /c

c = a/ sin 30 = 13 / (1/2) = 13 * 2 = 26

Answer:

if a = 13 than..

c = 26

b = 13√3

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the codomain are the values of f(x) from the y- coordinate of the vertex upwards.

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² + 4x - 1 ← is in standard form

with a = 2 and b = 4 , then

[tex]x_{V}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1

substitute x = - 1 into f(x) for y- coordinate of vertex

f(- 1) = 2(- 1)² + 4(- 1) - 1 = 2 - 4 - 1 = - 3

vertex = (- 1, - 3 )

since the coefficient of the x² term > 0 then the graph opens up U

then codomain is [ - 3, ∞ )

Answer:

Step-by-step explanation:

Speed is the ratio of distance to time. Speeds can be compared by comparing the times for the same distance, or by comparing the distances for the same time. A faster speed means more distance is covered in less time.

__

Here, we observe that 68 feet is a multiple of 34 feet, so it is easiest to compare the speeds of the insects by comparing their times for the same distance.

  butterfly: 68 ft in 5 seconds

  dragonfly: 2×34 ft in 2×3 seconds, or 68 ft in 6 seconds

The butterfly covers the same distance in less time, so it can fly faster.

__

Since our comparison of speeds is made using travel times, we can say the answer to "how much faster" is "1 second less over a distance of 68 feet."

_____

Additional comment

You may be expected to figure the speeds in units of feet per second. You do that by dividing feet by seconds.

  butterfly: 68 ft/(5 s) = 13.6 ft/s

  dragonfly: 34 ft/(3 s) = 11 1/3 ft/s

The difference in speeds is ...

  (13 3/5) -(11 1/3) = 2 4/15 . . . ft/s

The butterfly's speed is 2 4/15 ft/s faster than the dragonfly's speed.

__

You see time comparisons in human foot races, often with differences measured in milliseconds. Almost never are speeds compared in terms of feet (or meters) per second.

-7+(n-1)6

-7 is the starting term

n is the term that you are looking for

6 is the common difference

The formula for the nth term in the arithmetic sequence is:

a(n) = 6n - 13

It is a sequence where the difference between each consecutive term is the same.

We have,

We are given the first four terms of an arithmetic sequence:

a₁ = -7, a₂ = -1, a₃ = 5, a₄ = 11

To find the formula for the nth term, we need to find the common difference (d) first.

We can do this by subtracting any two consecutive terms:

d = a₂ - a₁ = (-1) - (-7) = 6

Now we can use the formula for the nth term of an arithmetic sequence:

a(n) = a₁ + (n - 1)d

Substituting the values we found:

a(n) = (-7) + (n - 1)(6)

Simplifying:

a(n) = -7 + 6n - 6

a(n) = 6n - 13

Therefore,

The formula for the nth term in the arithmetic sequence is:

a(n) = 6n - 13

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Answer:

Step-by-step explanation:

The available area is found by subtracting twice the border width from each of the overall lot dimensions. The accommodation that provides is found by dividing the area by the area required per dog.

__

The 10 foot setback from each lot line means the usable space has dimensions that are 20 feet shorter than the lot dimensions.

  usable rectangle = (120 ft -20 ft)×(80 ft -20 ft) = (100 ft)(60 ft)

  usable rectangle = 6000 ft²

There will be 6000 square feet in the smaller lot.

__

The space required for each dog is ...

  (12,500 ft²)/(50 dogs) = 250 ft²/dog

Then the number of dogs that can be accommodated in 6000 ft² is ...

  (6000 ft²)/(250 ft²/dog) = 24 dogs

The number of dogs allowed is 24.

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

The requried,
1. Zeros fo the function G(t) = (t – 10)(t + 1) are -1 and 10.
2. Vertex of the parabola is (9/2, -121/4).

A parabola is a cross-section cut out of the cone and represented by an equation G(t) = (t – 10)(t + 1.

Given function: G(t) = (t – 10)(t + 1)

1. To find the zeros of the function, we set G(t) to 0 and solve for t:

(t – 10)(t + 1) = 0

This gives us t = 10 and t = -1. Therefore, the smaller t is -1 and the larger t is 10.

So, the zeros of the function are:

smaller t = -1

larger t = 10

2.To find the vertex of the parabola, we can rewrite the given function in vertex form:

G(t) = (t – 9/2)² - 121/4

The vertex of the parabola is given by (h, k), where h is the x-coordinate and k is the y-coordinate. Therefore, the vertex of the parabola is:

Vertex: (9/2, -121/4)

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Answer:

[tex]f(5)=8[/tex]

Step-by-step explanation:

Given function: [tex]f(x)=x^2-3x-2[/tex]

To find [tex]f(5)[/tex], simply input [tex]x=5[/tex] into the function:

[tex]\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}[/tex]

[tex]\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

The value of f(5)

f(x) = x² - 3x - 2

f(x) = x² - 3x - 2

we will put the value of x as 5

so that to find f(5).

f(5) = (5)² - 3×5 - 2

f(5) = 25 - 15 - 2

f(5) = 8

The value of f(5) is 8.

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

Answer:

a) 4.60 (2 dp)

b)  1.31 (2 dp)

c)  8.8

Step-by-step explanation:

The "Frequency" part of a frequency table is the measure of how often the data value occurs.

To calculate the mean of data presented in a frequency table, we need to multiply each data value by its given frequency, sum these, then divide by the sum of the frequency.

The formula for mean is:

[tex]\textsf{mean}=\overline{x}=\dfrac{\displaystyle \sum fx}{\displaystyle\sum f}[/tex]

Add a row showing the values of [tex]fx[/tex]

Add a column showing the totals of [tex]f[/tex] and [tex]fx[/tex]

[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & & \sf Total \\\cline{1-8} x & 2 & 3 & 4 & 5 & 6 & 7 & \\\cline{1-8} \textsf{Frequency}\:f & 11 & 17 & 24 & 23 & 18 & 15 & 108\\\cline{1-8} fx & 22 & 51 & 96 & 115& 108 & 105 &497 \\\cline{1-8}\end{array}[/tex]

Now use the formula to calculate the mean:

[tex]\implies \textsf{mean}=\overline{x}=\dfrac{497}{108}=4.60\:\textsf{(2 dp)}[/tex]

Add a column showing the values of [tex]fx[/tex]

Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]

[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Frequency}\: f & fx \\\cline{1-3} 0 & 35 & 0 \\\cline{1-3} 1 & 76 & 76\\\cline{1-3} 2 & 48 & 96\\\cline{1-3} 3 & 22 & 66 \\\cline{1-3} \sf Total & 181 & 238 \\\cline{1-3}\end{array}[/tex]

Now use the formula to calculate the mean:

[tex]\implies \textsf{mean}=\overline{x}=\dfrac{238}{181}=1.31\:\textsf{(2 dp)}[/tex]

Add a column showing the values of [tex]fx[/tex]

Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]

[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Tally}\: f & fx \\\cline{1-3} 8 & 7 & 56\\\cline{1-3} 9 & 10 & 90\\\cline{1-3} 10 & 3 & 30\\\cline{1-3} \sf Total & 20 & 176\\\cline{1-3}\end{array}[/tex]

Now use the formula to calculate the mean:

[tex]\implies \textsf{mean}=\overline{x}=\dfrac{176}{20}=8.8[/tex]