a
2a
3a
5a
The sum of the first five terms of this sequence is 228
Work out the value of a,

Answer:

15.5 ft

Step-by-step explanation:

C=2×pi×r

48.67=2×3.14×r

48.67÷(2×3.14)=r

r= 7.75 ft

diameter = 2× radius

diameter = 2× 7.75

d= 15.5

Hope this helps!

Answer:

On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).

Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?

1

2

3

4

it is number 4

Answer:

4

Step-by-step explanation:

Answer:

B. 24 stuffed animals

Step-by-step explanation:

Initial amount of animal = 10

If her collection continues to grow at a rate of 24% per year, then increment in number of animal after 1 year will be:

24% of 10

= 0.24×10

= 2.4

Total increment after 6years will be:

= 2.4×6

= 14.4

Total stuffed animal that she will have after 6years = initial amount + increment = 10+14.4

Total stuffed animal that she will have after 6years = 24.4 ≈ 24 stuffed animals

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Upper level seat = $25

Mid level seat = $40

Number of tickets to give away is at least 25

Budget constraint = $1000

part A: write a system of two inequalities that describe this situation

Number of tickets constraint:

Upper level + mid level ≥ 25

u + m ≥ 25

Cost constraint :

$25u + $40m ≤ $1000

Part B:

Give away 10 upper level seat tickets and 15 mid level seat tickets

The given equation will be   [tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

From given data - sigma squared = start fraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n end fraction

The equation formed will be

[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

What does the numerator evaluate-

The numerator contains the difference between the data and the mean which means that it shows how much the data is varied from its mean.

What does the denominator evaluate to?

The denominator represents the number of the given data. It is the total number of data given for the analysis.

The variance is the variation of each data from its mean.

Thus  The given equation will be  

[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]

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Answer:

94, 5, 18.8

Step-by-step explanation:

second part: 4.34

Answer:

definition  

The vertex form of a quadratic function is given by

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.

FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.

            If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

            If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

divider

button To Convert from f (x) = ax2 + bx + c Form to Vertex Form:

Method 1: Completing the Square

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example.

example Convert y = 2x2 - 4x + 5 into vertex form, and stat

Step-by-step explanation:

Answer: z=43

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

∠ABC +∠BAC +∠BCA= 180°

41° + 102° + ∠BCA= 180°

∠BCA= 37°

Answer: unfortunately no

Step-by-step explanation:

When rounding numbers...

if the number is less than 5, round down. Other than that 5 and up you round up.

You rounded up, 4 to 5 thousand. 4 is less than 5 so you should had rounded down, your answer is 60,000

Answer:

Hope it helps :)

Step-by-step explanation:

So, when figure is translated, its orientation (=0°,i.e Not Rotated through any angle) and the measures of its angles (Remains same) . Hope it helps!~

(Sorry if you get it wrong or I got it wrong-)

~The Confuzzeled homan

123.15 ft²

[tex]\bold{area \ of \ sector = \sf \dfrac{\theta}{360} * \pi * radius^2}[/tex]

[tex]\hookrightarrow \sf \dfrac{72}{360} * \pi * 14^2[/tex]

[tex]\hookrightarrow \sf 123.15 \ ft^2[/tex]

Answer:

123.2ft rounded answer

Step-by-step explanation:

Answer:

b (2, -1) is your answer for this question

Answer:

an=an-1

Step-by-step explanation:

as it doesnt have -6 +3n

Answer:

(3+1) x² + (4-5) x + (-2+3)=

4 x² - x + 1

Answer:

Kelly's Dog = Unit Rate = ?

Tracy's Dog = Unit Rate = ?

Top Speed is Tracy's Dog

Step-by-step explanation:

There's not enough evidence to finish this question, can you pls give more context to this? Can you pls send the pic of the graph?

Answer:

3

Step-by-step explanation:

[tex]\frac{3+0}{2\times1}[/tex]

[tex]3+(\frac{0}{2})\times1[/tex]

[tex]\mathrm{Divide}[/tex]

[tex]{0\div2}=0[/tex]

[tex]3+0\times1[/tex]

[tex]3+0=3[/tex]

[tex]3\times1=3[/tex]

Lenvy~

Answer:

Transitive property

Step-by-step explanation:

Refer to the picture given below;

Answer:

transitive property

Step-by-step explanation:

it not complementary angles because it not 90 degree

it not vertical angles because it doesn't  show pair angles formed when two lines intersect.

it not reflexive property because it doesn't shown a number is always equal to itself.

so, for the reason above i think transitive property is the answer.

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

Answer:

1.15

Step-by-step explanation:

You add up all three numbers then divide by 3

The average lap time will be 1.15 minutes. The correct option is  B.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes.

The average will be calculated as,

Average = ( 1.23 + 1.04 + 1.18 ) / 3

Average = ( 3.45 / 3 )

Average = 1.15

Hence, the average is 1.15.

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Answer:

x1=1, x2=-3

y1=-3, y2=3

m=y2-y1/x1-x2

m=3-(-3)/-3-1

m=-3/2

since Y=mx+c

Then,Y=-3/2x+c

Hope! It will help you!!!

Answer: 0.50 cents per ounce. The amount of ounces is 48.

Step-by-step explanation: hope this helps

Answer:

Kaylee bought 48 and the price is $0.50

Step-by-step explanation:

1 pound = 16 oz

so 3 pounds = 48 oz

And then you get $0.50 when you doa step by step explanation comment if you need to know how.

Answer:

x = 10

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then

M = ( [tex]\frac{5+15}{2}[/tex], [tex]\frac{4+0}{2}[/tex] ) = ( [tex]\frac{20}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (10, 2 )

The x- coordinate of M = 10

Answer:

[tex]y = \frac{2}{3} x + 12[/tex]

Step-by-step explanation:

[tex]y = - \frac{3}{2} x - 1[/tex]

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line=[tex] - \frac{3}{2} [/tex].

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

[tex]- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}[/tex]

Substitute m=[tex]\frac{2}{3} [/tex] into y=mx+c:

[tex]y = \frac{2}{3} x + c[/tex]

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

[tex]8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x + 12[/tex].

To find the number pi in the box we must start with 3.14 and follow the sequence of the number.

The number Pi is a mathematical value that is represented by the symbol π and is used to refer to the length of the circumference of a circle and its diameter in geometry.

The value of pi is the following:

If we want to find the number pi, in the box we must follow the sequence of numbers that make up pi as shown:

Learn more about Pi number in: https://brainly.com/question/511377

Answer:

1.D(0, 4) → D'(0, –4)

2.E(–2, 0) → E'(–2, 0)

3.The perpendicular distance from G' to the x-axis will equal 2 units.

4.The perpendicular distance from D' to the x-axis will equal 8 units.

5.The orientation will be preserved.

Step-by-step explanation:

D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).

We know that the rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

The coordinate of  D(0, 4) becomes D'(0, –4) and coordinate of E(–2, 0) becomes E'(–2, 0).

3.The perpendicular distance from G' to the x-axis is 2 units.

4.The perpendicular distance from D' to the x-axis is 8 units.

Hence D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).

For more details on Reflection over x axis follow the link:

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Answer:

The answer is y = 0.3x + 35

Step-by-step explanation:

Here, 0.3 is variable and 35 is constant

So,

y = 0.3x + 35

Thus, The answer is y = 0.3x + 35

-TheUnknownScientist 72

Answer:

34 or B

Step-by-step explanation:

180-112=68

68/2=34

Since the 2 angles equal 180, and we already know one is 112, we can subtract that. and because it is 2 times a number, we need to get half of whatever that number is, which was 68, and we got 34. this would be the value of y, because when plugged in, 112+2(34)=180.

please mark as brainlest.

Answer:

A. 16.55$

B. 8.45$

Step-by-step explanation:

simply add 10 and 6.55 to get to get the total amount spent. Then subtract the answer you got from 25 to get the total amount left.

Answer:

(a) $16.55

(b) $8.45

Step-by-step explanation:

The cost of lunch added to the additional $10 Ben spent totals to $16.55

When we subtract that number from his original amount ($25) we get $8.45

Hope this helps! Have a great day!

Answer:

Let the number(second) be "P"

The first number= 4×P = 4P

4P + P = 50

5P = 50

P = 50

5

P = 10(second number)

First number = 4×10 = 40

Therefore the numbers are 40 and 10

Answer:

153.86 inches²

Step-by-step explanation:

How do we find the radius of a circle?

How do we find the area of a circle?

Solving

Therefore, the answer is 153.86 inches².

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

The area of the circle is 153.86 square inches.

We have,

Diameter = 14 inch

Radius= 14/2 = 7 inch

Now, the formula for area of a circle,

Area = π (radius)²

Now we can calculate the area using the radius:

Area = 3.14 x (7 inches)²

Area = 3.14 x 49 square inches

Area ≈ 153.86 square inches

Therefore, the area of the circle is 153.86 square inches.

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