What is the range of the equation shown in the graph?

The area of the shape is equal to 60 square centimeters

The shape is observed to be made up of a triangle and a rectangle, so we shall calculate for each area and sum the results to get the total area of the shape as follows:

area of triangle = 1/2 × 4 cm × 12 cm

area of the triangle = 24 cm²

area of the rectangle = 9 cm × 4 cm

area of the rectangle = 36 cm²

total area of the shape = 24 cm² + 36 cm²

total area of the shape = 60 cm²

Therefore, the area of the shape is equal to 60 square centimeters

Know more about area here:https://brainly.com/question/21135654

#SPJ1

Answer: The volume of the cylindrical pipe is 76pi cubic feet.

Step-by-step explanation: Sincerely, answered by Lizzy ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a lovely day! (ᵔᴥᵔ)

Answer:

Step-by-step explanation:

239 cubic feet

i asked my math teacher

There are 168 different area codes possible with this plan by using the multiplication principle of counting.

What is multiplication principle ?

The multiplication principle of counting, also known as the rule of product, is a counting principle in combinatorics that states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

There are 7 possible choices for the first digit (0 through 6), 3 possible choices for the second digit (2, 3, or 4), and 8 possible choices for the third digit (any digit except 0 or 3). To find the total number of possible area codes, we can use the multiplication principle of counting:

Total number of area codes = Number of choices for first digit x Number of choices for second digit x Number of choices for third digit

Total number of area codes = 7 x 3 x 8

Total number of area codes = 168

Therefore, there are 168 different area codes possible with this plan.

To learn more about combinatorics visit the link :

https://brainly.com/question/31476844

#SPJ1

Answer:

C. Chord

Step-by-step explanation:

Chord: Any segment whose endpoints lie on the circle is a chord.

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ1

Answer:

357.041 is the answer first add then subtract

The expression which has an approximate value be between the numbers 6 and 7 are (a) π + 3 and (b) √39.

In order to determine which expression has an approximate value between the numbers, 6 and 7, we can estimate the value of each expression and compare them to 6 and 7.

Option(a) π + 3 ;

We know that the approximate value of "π" is 3.14,

So, 3.14 + 3 = 6.14 (it is between 6 and 7)

Option(b) : √39 ≈ 6.24 (it is between 6 and 7)

Option (c) : 6π , We substitute, π ≈ 3.14,

We get, ≈ 18.85 (it is not between 6 and 7)

Option (d) : √35 ≈ 5.92 (it is not in between 6 and 7)

Therefore, the correct options are (a) and (b).

Learn more about Expression here

https://brainly.com/question/30411954

#SPJ1

The given question is incomplete, the complete question is

Which expression has an approximate value be between 6 and 7?

Select all that apply

(a) π + 3

(b) √39

(c) 6π

(d) √35

The ordered pairs that represent points on the graph of the equation 2x = -1/2y are d) (-1,4) and e) (0,0).

An equation is a mathematical statement that shows the equality of two expressions. It consists of two sides, a left-hand side and a right-hand side, separated by an equal sign. An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

The equation 2x = -1/2y can be rewritten as y = -4x. This is a linear equation in slope-intercept form, with a slope of -4 and y-intercept of 0.

To determine which ordered pairs represent points on the graph of this equation, we can substitute the x and y values into the equation and check if it satisfies the equation.

a) (4,6):

y = -4x

6 = -4(4)

6 = -16

This ordered pair does not satisfy the equation.

b) (-6,-1):

y = -4x

-1 = -4(-6)

-1 = 24

This ordered pair does not satisfy the equation.

c) (0,-4):

y = -4x

-4 = -4(0)

-4 = 0

This ordered pair does not satisfy the equation.

d) (-1,4):

y = -4x

4 = -4(-1)

4 = 4

This ordered pair satisfies the equation.

e) (0,0):

y = -4x

0 = -4(0)

0 = 0

This ordered pair satisfies the equation.

f) (4,-2):

y = -4x

-2 = -4(4)

-2 = -16

This ordered pair does not satisfy the equation.

Therefore, the ordered pairs that represent points on the graph of the equation 2x = -1/2y are d) (-1,4) and e) (0,0).

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

Answer:

1,040 ÷ 130 = 8

After 7 years: 1,040 × 8 = 8,320

Answer:

The slope is 1/3

Step-by-step explanation:

y+6=1/3(x-4)
-6         -6

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

y = 1/3 * x + 1/3 * (-4) - 6
y = 1/3x -7 1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

First, start by simplifying the right side of the equation, [tex]y+6=\frac{1}{3}(x-4)[/tex].

When we simplify the right side using distributive property, we will get:

[tex]y+6=\frac{1}{3}x-\frac{4}{3}[/tex]

Subtract 6 from both sides to get:

[tex]y=\frac{1}{3}x-\frac{4}{3}-6[/tex]

Simplify further and get:

[tex]y=\frac{1}{3}x-\frac{22}{3}[/tex]

By viewing the equation, we can tell the slope is 1/3.

Brainliest, good ratings, and 70 points, please!

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Volume is Length x width x height

1 box = 4.5 x 2 x 4 = 36

Each box is 36 cubic feet. Now divide the closet size by box size

185 cubic feet/36 cubic feet per box = 5.138

Since you can't have .138 of a box, and rounding up to 6 boxes is too much, the closet will hold 5 boxes (with .138 cubic feet left over).

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

Learn more about simplification here:

https://brainly.com/question/30200858

#SPJ1

Answer:

3.6056

Step-by-step explanation:

Answer: We are given that:

42^a + 2^2 + 2^2 = 2336

Simplifying the expression on the left-hand side, we get:

42^a + 4 = 2336

Subtracting 4 from both sides, we get:

42^a = 2332

Taking the logarithm of both sides with base 42, we get:

a = log₄₂₂₋₃₂ ≈ 1.417

Since a is a positive integer, the closest integer to 1.417 is 1. Therefore, the value of a is 1.

Step-by-step explanation:

The number of pieces of mail that the United States Postal Service delivers in 6 days would be 2 ¹⁶ . 3 ⁴ . 5 ⁴ mail

The number of mail delivered in 6 days by the United States Postal Service would be:

= Number of mail delivered in a second x Number of seconds in 6 days

= (2⁸ . 5² ) x ( 2⁸.3⁴.5² )

The properties of exponents, which state that when multiplying two powers with the same base, we can add their exponents, allow us to simplify the expression:

= 2⁸ ⁺ ⁸ . 5 ² ⁺ ² x  3 ⁴

= 2 ¹⁶ . 3 ⁴ . 5 ⁴ mail

Find out more on mail at https://brainly.com/question/27869321

#SPJ1

The cost of the three lightest packages is $8.80.

The cost of the remaining packages is $33.60.

The total cost of all packages is $42.40.

In Mathematics and Statistics, a line plot can be defined as a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

By critically observing the line plot that represents the weight of meat, we have the following weights:

Three lightest weights = 5/8 pounds + 5/8 pounds + 6/8 pounds

Cost of three lightest weights = (5/8 + 5/8 + 6/8) × $4.40

Cost of three lightest weights = $8.80.

Cost of remaining package = (1 + 1 1/8 + 1 1/8 + 1 1/8 + 1 2/8 + 1 3/8) × $4.80

Cost of remaining package = $33.60

Total cost of all packages = $8.80 + $33.60 = $42.40.

Read more on line plot here: brainly.com/question/28741427

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The critical value of that used in constructing the confidence interval is (42.512 , 31.688)

We have the following information from the question:

Sample mean, x(bar) = 37.1 bushels per acre

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 5.91 bushels per acre

Degree of freedom = n - 1 = 9

We have to determine the 98% confidence interval for the true mean yield.

We use the formula:

x(bar) ± [tex]t_c_r_i_t_i_c_a_l[/tex][tex]\frac{s}{\sqrt{n} }[/tex]

Plug all the values in above formula:

37.1 ± 2.896[tex](\frac{5.91}{\sqrt{10} } )[/tex]

37.1 ± 5.412 = (42.512 , 31.688)

Hence, The critical value of that used in constructing the confidence interval is (42.512 , 31.688).

Learn more about Confidence interval at:

https://brainly.com/question/24131141

#SPJ1

The missing length of the triangle above would be =

A.Using radicals, the shorter leg is exactly 9. The shorter leg, up to three decimal places, is approximately 8.660.

To calculate the missing length of the given triangle, the sine formula is used such as;

a/sinA = c/sinC

where;

a = 15

A = 60°

c= ?

V= 90°

15/sin60° = b/sin90°

Make be the subject of formula;

c = 15× 1/0.866025403

c = 17.32

Using the Pythagorean formula;

c² = a² + b²

17.32² = 15² + b²

b² = 300 - 225

b² = 75

b = √75

b = 8.660.

Learn more about triangles here:

https://brainly.com/question/29782809

#SPJ1

Answer:

10 pounds

Step-by-step explanation:

First, we need to determine the total weight of the pencils in ounces:

64 boxes x 2.5 ounces per box = 160 ounces

To convert this weight to pounds, we need to divide by the number of ounces in a pound:

160 ounces / 16 ounces per pound = 10 pounds

Therefore, the case of wooden pencils weighs 10 pounds.

Answer:

P=32 yards, A=64 yards^2

Step-by-step explanation:

We know that P = 4 x s, where s is the side length. In this case, we know that s=8. So, the perimeter is 32 yards. We know that A= s^2. Substituting for s=8 makes the area 64 yards^2. Thus, the perimeter of this square is 32 yards, while the area is 64 yards squared.

The explicit formula for an, the nth term of the sequence is f(n) = 48 * (3/2)ⁿ ⁻ ¹

From the question, we have the following parameters that can be used in our computation:

48, 72, 108…

The above definitions imply that the sequence is a geometric sequence with the followin features

First term, a = 48

Common ratio, r = 72/48 = 3/2

Using the above as a guide,

So, we have the following representation

f(n) = a * rⁿ ⁻ ¹

So, we have

f(n) = 48 * (3/2)ⁿ ⁻ ¹

Hence, the sequence is f(n) = 48 * (3/2)ⁿ ⁻ ¹

Read more about sequence at

brainly.com/question/29431864

#SPJ1

The total surface area of the resulting solid is [tex]54 cm^2 + 9 cm^2 = 63 cm^2.[/tex]

What is area of solid?

The area of a solid refers to the total amount of surface space that the solid occupies. This can be measured in square units, such as square centimeters or square meters, depending on the unit of measurement being used.

To calculate the surface area of the resulting solid, we need to consider the surface area of each of the six faces of the cube, as well as the surface area of the three internal hole walls.

The surface area of each face of the cube is 3 cm x 3 cm = [tex]9 cm^2[/tex]. Since there are six faces, the total surface area of the cube is 6 x 9 [tex]cm^2[/tex] = 54 [tex]cm^2[/tex].

Each hole has a length of 3 cm, so the surface area of the internal walls of each hole is 3 cm x 1 cm = 3 [tex]cm^2[/tex]. Since there are three holes, the total surface area of the internal walls is 3 x 3 [tex]cm^2[/tex] = 9 [tex]cm^2[/tex].

Therefore, the total surface area of the resulting solid is 54 [tex]cm^2[/tex] + 9 [tex]cm^2[/tex] = 63 [tex]cm^2[/tex].

To learn more about area visit:

https://brainly.com/question/2607596

#SPJ1

The plane's new altitude after 0.05 hours is approximately 9.9 kilometers.

we'll use the sine function to find the vertical distance of the plane

sin(angle) = vertical_distance / total_distance

vertical_distance = sin(angle) × total_distance

To find the sine of 11°, we need to convert the angle to radians. We know that 180° = π radians:

11° × (π radians / 180°) ≈ 0.191986 radians

Now, we can find the vertical distance:

vertical_distance = sin(0.191986) × 25 km

vertical_distance ≈ 0.190809 × 25 km

vertical_distance ≈ 4.77022 km

Finally, we'll add this vertical distance to the initial altitude to find the new altitude:

h = initial_altitude + vertical_distance

h = 5.1 km + 4.77022 km

h ≈ 9.87022 km

Rounding to the nearest tenth of a kilometer:

h ≈ 9.9 km

So, the plane's new altitude after 0.05 hours is approximately 9.9 kilometers.

Read more about altitude here:

https://brainly.com/question/1159693

#SPJ1

The age of oldest is 44 and age of youngest is 18.

We have,

Sum of age of 3 brother = 36

let the age of three brother be x, y and z.

so, x + y + z = 36

x = y + z

After 8 year, (z+ 8) = 2(x+8)

z+ 8 = 2x+ 16

2x - z +8=0

Thus, the age of oldest is 44 and age of youngest is 18.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

The Translation of the given question is:

The sum of the ages of 3 brothers is 36. The age of the eldest is equal to the sum of the two younger brothers, within 8 years the younger will double the age of the older, what is the age of the brothers?

Answer:

Step-by-step explanation:

A. To find the annual interest rate, compounded continuously, we can use the formula:

A = Pe^(rt)

where A is the final amount, P is the principal amount (initial investment), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate, and t is the time in years.

We are given that P = $50,000, A = $132,558.36, and t = 15 years. We need to solve for r.

Substituting the given values into the formula, we get:

$132,558.36 = $50,000 e^(15r)

Dividing both sides by $50,000 and taking the natural logarithm of both sides, we get:

ln(2.6511672) = 15r

Solving for r, we get:

r = ln(2.6511672) / 15

r ≈ 0.045 (rounded to three decimal places)

Therefore, the annual interest rate, compounded continuously, that produced this return is approximately 0.045 or 4.5%.

B. To determine the approximate number of years it will take for the account to grow to $300,000, we can again use the formula:

A = Pe^(rt)

where A is the final amount we want to reach, P is the initial investment ($50,000), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate we just found (0.045), and t is the time in years we want to solve for.

Substituting the given values into the formula, we get:

$300,000 = $50,000 e^(0.045t)

Dividing both sides by $50,000 and taking the natural logarithm of both sides, we get:

ln(6) = 0.045t

Solving for t, we get:

t = ln(6) / 0.045

t ≈ 27.6 years (rounded to the nearest tenth)

Therefore, it will take approximately 27.6 years from the original investment for the account to grow to $300,000.

Answer:

-6x + 15 < 10 - 5x or 11x > 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ordered pair that represents the point labeled C is (0, -2). Option (C) is the correct answer.

We can start by considering the given information about the coordinate axes. The x-axis starts at negative 3 with tick marks every one unit up to positive 3, and the y-axis starts at negative 3 with tick marks every one unit up to 3. The origin is the point where the x-axis and y-axis intersect, and it has coordinates (0, 0).

Next, we are given information about four points labeled A, B, C, and D. Points A and B are both one unit up and two units to the left or right of the origin, respectively. Point D is one unit to the left and one unit down from the origin.

Finally, we are asked to determine the coordinates of point C. We know that point C is labeled as being two units down from the origin, which means that it has a y-coordinate of -2.

To determine the x-coordinate of point C, we can observe that it lies on the y-axis, which means that it has an x-coordinate of 0 (since the y-axis intersects the x-axis at x = 0). Therefore, the ordered pair that represents point C is (0, -2), which matches option (C).

To know more about ordered pair:

https://brainly.com/question/30805001

#SPJ1