Under his cell phone plan, Jason pays a flat cost of $60.50 per month and $4 per gigabyte. He wants to keep his bill at $68.90 per month. How many gigabytes of data can he use while staying within his budget?

Answer:

volume = 157 units³

Step-by-step explanation:

volume = 1/3πr²h

volume = 1/3(3.14)(5²)(6) = 157 units³

Answer:

24 unit

Step-by-step explanation:

From the question,

The 2 points is given as g (15,7) and h (-9,7)

The distance between two point is given as

d = √[(x₂-x₁)²+(y₂-y₁)²]...........................

Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7

Substitute these values into equation 1

d = √[(-9-15)²+(7-7)²]

d = √[(-24)²+(0)²]

d = √576

d = 24 unit.

Answer:

13.93 cm

Step-by-step explanation:

Given data

We have the

length = 5cm

Width = 12cm

Height= 13cm

The diagonal can be gotten by applying the Pythagoras Theorem using the Length and the Height

D^2= 5^2+13^2

D^2= 25+169

D^2= 169

D= √194

D= 13.928 cm

Hence the diagonal is 13.93 cm

Answer:

[tex] m\angle A = 133\degree [/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed In a circle.

So, ABCD is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(4x + 5)° + (x + 15)° = 180°

(4x + 5 + x + 15)° = 180°

(5x + 20)° = 180°

5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

[tex] m\angle A = (4x + 5)\degree [/tex]

[tex] m\angle A = (4\times 32+ 5)\degree [/tex]

[tex] m\angle A = (128+ 5)\degree [/tex]

[tex] m\angle A = 133\degree [/tex]

Answer:

X =33

Step-by-step explanation:

6x-18=180

6x = 198

X = 33

Answer:

or

You can add whichever is accepted by the program

Step-by-step explanation:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

14²=8²+x²

x²=14²-8²

x=√132=2√33 unit is your answer

Answer:

Yeah i don't get it i have the same problem

Answer:

It is not (−2,3).

Step-by-step explanation:

Answer:

Its gonna be in the same spot but just on the left

Step-by-step explanation:

The graph is attached with the solution

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

The coordinates of the vertices of the given triangle are (3,-2), (1,-5), and (5,-4).

The coordinate rule for 90° clockwise rotation about the origin is:

(x,y)→(y,-x)

Therefore, the vertices of the triangle are transformed as follows:

(3,-2) → (-2, -3)

(1,-5) → (-5,-1)

(5,-4) → (-4,-5)

Now, plot the image points (-2,-3), (-5,-1), and (-4,-5) and connect them to draw the required triangle.

The graph is attached with the solution.

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Answer:

8 quarts for one week. NOW if we're talking about for like four weeks its 36 quarts

Step-by-step explanation:

If it's for more weeks just multiply by how much weeks it is Hope that helped

Answer:

Step-by-step explanation:

Area of one face = 3×3 = 9 m²

A cube had six faces, so surface area of cube = 6×9 = 54 m²

Step-by-step explanation:

at first we do synthetic division then we do middle term factorisation

Answer:

=−1

Step-by-step explanation:

1. Distribute

2.Subtract 6 from both sides of the equation

3.Simplify

4.Subtract 5x from both sides of the equation

5.Simplify

6.Divide both sides of the equation by the same term

7.Simplify

so the answer is =−1

Answer:

Here is the answer

Step-by-step explanation:

The kitten weighs_____pounds every week                    -0.6 pounds

Weight of the kitten at current time                                    -7 pounds

Weeks it will take for the kitten to reach 10 pounds         -0.6+7=7.6

                                                       now round it off and you will get 7

                            ∴the kitten will take 7 more weeks for getting to 10 pounds            

The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.

Let "w" represent the number of weeks.

The weight of the kitten after "w" weeks can be calculated as:

Weight = Initial weight + (Weight gained per week * Number of weeks)

Weight = 7 + (0.6 * w)

We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10

Substituting the equation for weight:

7 + (0.6 * w) ≥ 10

Subtracting 7 from both sides:

0.6 * w ≥ 3

Dividing both sides by 0.6:

w ≥ 3 / 0.6

w ≥ 5

Therefore, the kitten will be at least 10 pounds after 5 weeks.

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Answer:

The slope is -1 and the y-intercept is 2.

Step-by-step explanation:

Since it is -x, the only way is if -1 and x were multiplied together. The Slope-Intercept Form is y = mx + b

Answer:22.5

Step-by-step explanation:

Answer:

ughhh i think c im not so sure though

Step-by-step explanation:

Answer:

x^3-8x^2+5x+14

Step-by-step explanation:

(x+1)(x-2)(x-7)

x^3-8x^2+5x+14

Answer:

8/12

Step-by-step explanation:

Answer:

Solution

a+148=180(Angles on a straight line equals180)

▪a=180-148=32

Now,

a+b=90(A right angle is equal to 90)

So,

▪b=90-a=90-32=58

Then,

b=b(base of iscoceles angles of traingle)

Now,

b+b+x=180(sum of angles of triangle equals 180)

or,58+58+x=180

or,x=180-116

▪x=64'

Answer.

Answer:

27 in

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

top right :3

Step-by-step explanation:

Given:

Joey had 26 game cards.

His friend Richard gave him some more, and now Joey has 100 cards.

To find:

How many cards did Richard give to Joey?

Solution:

Let x be the number of cards that Richard give to Joey.

Joey had 26 game cards.

Now, the total cards joey has [tex]=26+x[/tex]

Joey has total 100 cards.

[tex]26+x=100[/tex]

[tex]x=100-26[/tex]

[tex]x=74[/tex]

Therefore, Richard gave him 74 cards.

Answer:

It would be B

Step-by-step explanation:

8 x 5 = 40

40/4 = 10

Hope that helps!

Answer: Hello, my name is woods 245. And I'm here to answer your question.

So what do you need with and I will help you with it.

Step-by-step explanation:

Answer:

[tex]3+\sqrt{3}[/tex] , [tex]5\sqrt{5}[/tex], [tex]2\sqrt{2}[/tex], and [tex]18 -2\sqrt{2}[/tex]

Step-by-Step Explanation:

1)

[tex]\sqrt{3}(\sqrt{3}+1)[/tex]

Distribute the square root:

[tex]\sqrt{9}+\sqrt{3}[/tex]

[tex]3+\sqrt{3}[/tex]

2)

[tex](\sqrt{5} )(\sqrt{5} )(\sqrt{5} )[/tex]

[tex]\sqrt{(5)(5)(5)}[/tex]

[tex]\sqrt{(25)(5)}[/tex]

[tex](\sqrt{25}) (\sqrt{5)}[/tex]

[tex]5\sqrt{5}[/tex]

3)

[tex](\sqrt{2} )(\sqrt{2} )(\sqrt{2} )[/tex]

[tex]\sqrt{(2)(2)(2)}[/tex]

[tex]\sqrt{(4)(2)}[/tex]

[tex](\sqrt{4}) (\sqrt{2)}[/tex]

[tex]2\sqrt{2}[/tex]

4)

[tex](3\sqrt{2})^{2} -2\sqrt{2}[/tex]

[tex](9)(2) -2\sqrt{2}[/tex]

[tex]18 -2\sqrt{2}[/tex]

If you need it factored:

[tex]2(9-\sqrt{2})[/tex]

Keep in mind that square roots can be positive or negative.

Step-by-step explanation:

[tex] {2}^{x - 2} = \\ {2}^{0 } = 1[/tex]

[tex] {2}^{x - 2} = {2}^{1} = 2[/tex]

Answer:

3/4

Step-by-step explanation:

1/4+1/4+1/4=3/4 or 0.75