Find the areas of the trapezoids.

An equation is formed of two equal expressions. The number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let c represent the cost of a phone plan, m represent the number of months, and g represent the number of gigabytes of data used each month.

Equation1: C = 40m + 3.5mg = (40+3.5g)m

Equation2: C = 75m + 0.5mg = (75+0.5g)m

Equating C,

(40+3.5g)m = (75+0.5g)m

40 + 3.5g = 75 + 0.5g

3g = 35

g = 11.6667 gigabyte of data per month

Hence, the number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

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Answer:

50 27.5

50.01 27.5055

50.02 27.511

50.03 27.5165

Step-by-step explanation:

Answer:

55 is 110% of 50

Step-by-step explanation:

Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Answer:

volume of the pramind is 90332 ans And like

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

The equation that models the scenario is 16p+32q = 1,280.

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

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Answer:

108 square units

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

Answer:

Around 1.2 million

Step-by-step explanation:

If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million

Answer:

B) 7r² - r -1

Step-by-step explanation:

(3r² + 7r + 1) + (4r² - 8r - 2)

1. Remove unnecessary parentheses

3r² + 7r + 1 + 4r² - 8r - 2

2. Combine like terms (ex: r and -2r, n and 4n)

7r² - r -1

Therefore, the correct answer is B.

Hope this helps!

Answer: Heyaa! ~

Your Answer is... 7r²− r −1,  Which is B.

Step-by-step explanation:

Subtract the numbers, And then combine like terms,

Solution: 7r²− r −1

Hopefully this helps you! ^

Answer:

41

Step-by-step explanation:

3(4)²-2(4)+1

48-8+1

41

Answer:

y = 39

:. ? = 39

Step-by-step explanation:

let y represent ?

while x = 4

:. 3x² – 2x + 1 = y

3(4)² – 2(4) + 1 = y

3(16) – 8 + 1 = y

48 – 9 = y

39=y

Answer:

she will need about 7 baskets, the proper number is 6.7 but round up and its 7

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.

Answer:

length = 6cm , breadth = 4cm

Step-by-step explanation:

Let's assume length = l

breadth = b

Given perimeter of a rectangle = 20 cm

2(l+b) = 20

l+b = 20/2

l+b = 10

l = 10 - b____(1)

Given area of rectangle = 24 cm²

l×b = 24____(2)

(1) in (2) => l × b = 24

(10-b) × b = 24

10b - b² = 24

10b = 24 + b²

0 = b² - 10b + 24

b² - 10b + 24 = 0

b² + 6b + 4b + 24 = 0

b(b+6) +4(b+6) = 0

(b+4)(b+6) = 0

b+4 = 0. &. b+6 = 0

b = -4. b = -6

breadth must be less than length and it should be positive

So b = 4 cm

b=4 in (1)

(1)=> l = 10 - b

l = 10 - 4

l = 6

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

The conditions are given as:

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

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Answer:

A. Upward

B. (-2, -1)

C. X= -3, -1 ||| Y= 3

D. X=-2

Step-by-step explanation:

Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees

Answer:

1093

Explanation:

Given expression:

Summation:

Formula:

Compute:

[tex]\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6[/tex]

[tex]\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729[/tex]

[tex]\rightarrow \sf 1093[/tex]

Answer:

[tex] \boxed{\rm \: SUM = 1093 }[/tex]

Step-by-step explanation:

Given:

[tex] \huge\rm {{ \sum}^6_{n=0\:} (3)^n}[/tex]

To Find:

Sum of the given finite series

Solution:

We'll use this formula:

[tex] \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}[/tex]

where,

Let's find out the ratio R by using this formulae:

[tex] \rm \: r = \cfrac{a_{n + 1} }{a_n}[/tex]

According to the question,

Substitute:

[tex] \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } [/tex]

Apply law of exponents:[a^m/a^n] = a^m-n

[tex] \rm \: r = {3}^{n + 1 - n} [/tex]

Rearrange it as:

[tex] \rm \: r = 3 {}^{n - n + 1} [/tex]

[tex] \rm \: r = 3 {}^{1} = 3[/tex]

So,the ratio R is 3.

Now let's find out the First term A.

To find, substitute the value of n in 3^n:

[tex] \rm \: a = 3 {}^{0} [/tex]

[tex] \rm \: a = 1[/tex]

Hence, first term A is 1.

NOW Substitute the value of the first term A and ratio R onto the formulae of sum:

[tex] \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)[/tex]

Simplify.

[tex] \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} [/tex]

[tex] \rm \: SUM = \cfrac{ - 2186}{1 - 3} [/tex]

[tex] \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } [/tex]

[tex] \rm \: SUM = 1093[/tex]

We're done!

Hence, the sum of the given Finite series is 1093.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Answer:

4

Step-by-step explanation:

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.

∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.

∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.

∠6  is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

Therefore, the angle of depression is ∠4.

Answer:

l think the answer is 024 inches because it has to division

Step-by-step explanation:

just divide both sides by 3.14 yes

The radius of the circle is 12 inches.

Radius is the distance from the center of the circle to any point on its circumference, which means the line segment that connects the center of a circle to any point on its circumference is called the radius.

Given that the circumference of a circle is 75 inches we need to find the radius,

So,

C = π × diameter

75 = 3.14 × d

d = 23.88

∵ d = 2r

∴ r = 23.88/2

r = 11.94

r ≈ 12

Hence the radius of the circle is 12 inches.

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The approximate difference in their volumes is 17.2 cubic inches

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The difference is then represented as:

[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]

Substitute known values

[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

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The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

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Answer:

18

Step-by-step explanation:

Well there is 6 there.... ad six and six more (2 layers more) for a total of 18

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)