The radius of the circle below is 27 mm.
Calculate the area of the circle.
Give your answer in mm² to 1 d.p.
27 m

Answer: Yes

Step-by-step explanation:It can because math works like that.

The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

Given,

The population of a city can be modeled using the formula P=100,000e^(0.05t)

t is the number of years after 2012

P is the population of the city

We have to find the equation that can be used to find the number of years after 2012 that the population will triple to 300,000.

Here,

Substitute 300000 in for P and solve for t

300000=100000e^0.05t

Divide both sides by 100000:

We get,

3 = e^0.05t

Multiply both sides by the natural log (ln)

Then,

ln(3) = 0.05t

Now, divide 0.05 on both sides to get t by its self

t = ln(3) / 0.05

Therefore,

The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

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0.065=x/5800

x=$377; that is the dollar value of the decrease

The account is now worth $5423.

Answer:

[tex]-1.35[/tex] is bigger (larger)

Step-by-step explanation:

[tex]-1\frac{4}{9}=-1.\overline{44}[/tex]

Therefore, because [tex]-1.35[/tex] is less negative than [tex]-1.\overline{44}[/tex],

[tex]-1.35[/tex] is bigger (larger).

The quadratic function whose only zero is -13 is h(x) = x² + 26x + 169

From the question, we are to write a quadratic function whole only zero is -13.

Since -13 is the only zero of the function,

Then,

x = -13 twice

This means that (x + 13) is a factor of the function

Since x = -13 twice,

Then,

The quadratic function h is

h(x) = (x + 13)(x + 13)

Expand the quadratic function by distributing

h(x) = x(x + 13) + 13(x + 13)

h(x) = x² + 13x + 13x + 169

h(x) = x² + 26x + 169

Hence, the function is h(x) = x² + 26x + 169

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The area of the shaded region is x=245 feet for both rectangle and circle.

The quantity area expresses the extent of a region on a plane or a curved surface. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be defined as the amount of material of a given thickness required to make a model of the shape, or the amount of paint required to cover the surface with a single coat. It is the two-dimensional equivalent of the length of a curve or the volume of a solid.

The area of a shape can be calculated.

Area of shaded region=Area of rectangle-1/2(Area of circle)

=L×B-1/2(πr²)

=23×14-1/2((22/7)×7×7)

=322-77

=245 feet

Therefore, the area of the shaded region=245 feet

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The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.

1) Measure of ∠d

∠d+109°=180°

∠d=71°

2) Measure of ∠c,

∠c+93°=180°

∠c=87°

3) Measure of arc a is,

109°=1/2[97°+arc a]

218°=97°+arc a

arc a=121°

4) Measure of arc b,

87°=1/2[121°+arc b]

174°=121°+arc b

arc b=53°

Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

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Answer: I would say a half of beef is cheaper the pounds are different maybe subtract a half from five

Step-by-step explanation:

Answer:

The answer you are looking for is 0.35 foot per second.

Step-by-step explanation:

Formula = divide the speed by 20

(Or in this case 7 divided by 20).

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Equation of the line is y = 3/2x + 3.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The "slope-intercept" form is one of the most popular methods. It is so named because it makes the slope and y-intercept of the equations in the equation more clear. The number that is placed before the x is the slope.

Given,

Slope intercept form:

Formula:

y = mx + b

Where m = slope

2y - 3x = 6

2y = 6 + 3x

Equation:

y = 3 + 3/2x

y = 3/2x + 3

Equation of the line is y = 3/2x + 3.

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13492928512 is the last term (7th term )of binomial expansion of the given expression so therefore it has no coefficient .

The binomial theorem is a way to bring the formulation to a finite power.

The binomial theorem is a effective extension device with packages in algebra, probability, and more.  A binomial is an algebraic expression containing  wonderful terms.

it has been attached below b'coz' that was not possible to type here

hope that image is clear .

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Answer:

12.3459 grains

Step-by-step explanation:

Answer:

12.346 grains

Step-by-step explanation:

for an approximate result, multiply the mass value by 15.432

( which is basically 0.8 times 15.432)

Answer:

x=1 y=3

Step-by-step explanation:

By looking at the equations, you can use substitution

Set the equation equal to y

y=-5x+8

y=-2x+5

Then put equation together

-5x+8=-2x+5

Move numbers over

3x=3

x=1

Put x back into equation

5+y=8

2+y=5

y=3

The y-intercept of the line will be equal to 7.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that a line that has a slope of 2 and ( - 2, 3 ). The y-intercept of the line will be calculated as,

y = mx + c

3 = (-2 x 2 ) +c

3 = -4 + c

c = 4 + 3

c = 7

Therefore, the y-intercept of the line will be equal to 7.

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Using the triangle rule, the length of the third side falls between 5 cm and 29 cm.

In the given question,

The measurements of two sides of a triangle are 12 cm and 17 cm.

We have to find which side length could be the measurement of the third side of the triangle.

We know that,

The sum of the length of any two sides is always greater than the third side.

The given sides of triangles are 12 cm and 17 cm.

Hence, the length of the third side should be shorter than the total of the other two sides,

12 + 17 = 29 cm.

Considering that the third side must be less than the difference between the first two sides,

17 – 12 = 5 cm

So, the length of the third side falls between 5 cm and 29 cm.

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The ordered pairs that are solutions to the linear equation x + 2y = 4 are given as follows:

The linear function in this problem is defined as follows:

x + 2y = 4.

To complete the ordered pairs, we take the given coordinate and then solve for the missing coordinate .

For the first ordered pair, the given coordinate is of x = -3, hence we have to solve for y when x = -3, thus:

-3 + 2y = 4.

2y = 7.

y = 7/2

y = 3.5.

Hence the ordered pair is:

(-3, 3.5).

For the second ordered pair, the given coordinate is of y = -7, hence we have to solve for x when y = -7, thus:

x + 2y = 4.

x - 14 = 4

x = 18.

Hence the ordered pair is:

(18, -7).

The ordered pairs that we have to complete are given as follows:

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By using the formula of average speed, it can be inferred that

My average speed is 14 miles per hour

What is average speed?

Speed of an object is the distance covered by the object per unit time

Average speed is calculated by dividing the total distance covered by the total time taken

Length of one block = 560 feet = [tex]\frac{560}{5280}[/tex] miles

Number of blocks = 33

Total distance = [tex]\frac{560}{5280} \times 33\\[/tex]

                        = [tex]\frac{7}{2}[/tex] miles

Total time = 15 minutes = [tex]\frac{15}{60}[/tex] hours = [tex]\frac{1}{4}[/tex] hours

Average speed = [tex]\frac{\frac{7}{2}}{\frac{1}{4}}[/tex] = [tex]\frac{7}{2} \times 4[/tex] = 14 miles per hour

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The exponential function that can model the county population, y, x decades after Tiana was born, is:

[tex]y = 641000(0.99)^x[/tex]

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

[tex]y = a(b)^x[/tex]

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

[tex]y = 641000(0.99)^x[/tex]

The population will fall below 600,000 when y = 600000, hence:

[tex]y = 641000(0.99)^x[/tex]

[tex]600000 = 641000(0.99)^x[/tex]

[tex](0.99)^x = \frac{600000}{641000}[/tex]

[tex]\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}[/tex]

[tex]x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}[/tex]

[tex]x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}[/tex]

x = 6.6 decades.

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The linear equation we need to solve is:

$25.50*w = $309.99 - $131.49

And the solution is w = 7.

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $131.49, and save another $25.50 per week, then the amount you have after w weeks is:

f(w) = $131.49 + $25.50*w

So the linear equation we need to solve is:

$131.49 + $25.50*w = $309.99

To solve this we need to isolate w.

$131.49 + $25.50*w = $309.99

$25.50*w = $309.99 - $131.49

w = ($309.99 - $131.49)/$25.50 = 7

So they can buy the chair after 7 weeks.

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The exponential function that approximates the number of fruit flies on the banana after x days is y = 7 x 1.3ˣ.

An exponential function is a mathematical function form of y = aⁿ or y = abˣ, where b is a constant or the base of the function, a is a variable, and n is the variable exponent.

Exponential functions must always contain an exponent, which is an integer raised to some power.

When the exponent is positive, it implies the function is increasing in value and vice versa.

Percentage increase per day = 30%

The number of fruit flies found = 7

The number of days = x days

Let the number of flies after x days = y

y = 7 x 1.3ˣ

Thus, an exponential representation of the function which Emma can use to model the number of fruit flies after x days is y = 7 x 1.3ˣ.

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The missing value is 22

Direct proportion is the relation between two quantities or values where the ratio of the two will always equal a constant value. The symbol used for proportion is the symbol '∝'.

When two quantities are in direct proportion, if we increase one value, then the other will also increase, and if we decrease one value then the other value will also decrease.

Here we have  

x -    1     2    3     4      5

y -  -2    4    10    16     ?      

As we see the value of x is directly proportional to y  

For every 1 unit value of x, the y value is increasing 6 units

For more Understand observe the following

at x = 1  => y = -2

at x = 2 => y = -2 + 6 = 4  

at x = 3 => y = -2 + 2(6) = 10

Therefore,

The relation between x and y can derive as given below

=> y = - 2 + (x-1)6

=> y = - 2 + 6x -6  

=> y = 6x - 8  

at x = 5 => y = 30 - 8 =22

Therefore,

The missing value is 22

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Answer:

See below

Step-by-step explanation:

Eight minus unknown quantity 'x' equals two.

Answer:

Step-by-step explanation:

Thanks

The equation of the parallel line is y = (-3/2)x + 20

What does the term Slope of a Straight Line means?

A line's slope is defined as the change in y coordinate with respect to the change in x coordinate. The net y coordinate change is y, while the net x coordinate change is x.

Solution:

Firstly we need to find the slope of the given line 3x+2y = 14

Since, the equation is in the form ax + by = c

Therefore, by comparing we can say a = 3 and b = 2

Slope = -(b/a) = -3/2

Since we need to find the equation of the parallel line

So, the slope of the parallel line will be -3/2

y = mx + b

we know that the line passes through the point (8,8)

putting x,y = 8 and m = -3/2

8 = (-3/2)*8 + b

8 = -12 + b

b = 20

So, the equation of the parallel line is y = (-3/2)x + 20

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On Wednesday 1/6 of the patio area is left to tile

Let the patio area be x

On Monday, he tiled 1/3 of his patio = 1/3 x

on Tuesday, he tiled 1/2 of the patio area = 1/2 x

The area left to tile on Wednesday

= x - (1/3 x + 1/2 x)

x - 1/3 x - 1/2 x

(6x - 2x - 3x)/6

= 1/6 x

The area left to tile on Wednesday is 1/6 of the patio area

Therefore,  1/6 of the patio area is left to tile on Wednesday

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The value of (-42n+28p)(-1/4) is 249n/4

A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction describes how many parts of a certain size there are, for example, one-half, three-fifths, three-quarters.

A fraction has a denominator and numerator. There are three types of fraction. Proper, improper and mixed fraction

Opening the parentheses of the equation

(-42n+ 28p)(-1/4).

= -42n× -1/4+ 28× -1/4

= (42n×-7)/4

= -294n/4

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Answer: mode is 94

Step-by-step explanation:

The measurements 15, 17, 22 do not form a right triangle.

In this question, we have the measurements 15, 17, 22

We check whether the measurements 15, 17, 22 is Pythagorean triple.

22^2 = 484

15^2 = 225

17^2 = 289

15^ + 17^2 = 225 + 289

                = 514

                ≠ 484

i.e., 15^ + 17^2 ≠ 22^2

This means, these measurements do not form a right triangle.  

Therefore, the measurements 15, 17, 22 do not form a right triangle.

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a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

Given that,

On December 14, 2017, Lorna Hall's $2,010.88 real estate tax was due. Because of her job loss, Lorna was unable to pay her taxes until February 27, 2018. Late payment fees are assessed at a rate of 6 1/2% regular interest.

We have to find

a. What is the fine Lorna is required to pay

b. How much will Lorna owe in total on February 27.

First,

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $2010.88

r is 6 1/2%

t is 17+31+27= 75 days is 75/365

So,

i= 2010.88×6 1/2×75/365

i= $26.86

The penalty Lorna must pay is $26.86.

Second,

We know that,

Total amount= real estate tax due amount+ Penalty pay.

Total amount= $2010.88+$26.86

Total amount= $2037.74

The total amount Lorna must pay on February 27 is $2037.74.

Therefore, a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

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Answer:

x = 12 m

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

here A = 44 , then

x × 3 [tex]\frac{3}{4}[/tex] = 44 ( change mixed number to improper fraction )

x × [tex]\frac{11}{3}[/tex] = 44 ( multiply both sides by 3 to clear the fraction )

11x = 132 ( divide both sides by 11 )

x = 12 m