Activity 1 Lesson 1 Patterns , Sequences and Rules

Answer:

12.5%

Step-by-step explanation:

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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Answer:

33.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

4X^2=33-9

4X^2=24

X^2=24:4

X^2=6

X=\sqrt{6}

Good luck!

Answer:

Step-by-step explanation:

23.40 because 39.75 minus 16.35 equals 23.40 Hope this helps

Answer:

You multiply the denominator and the whole number then add the numerator.

Step-by-step explanation:

Example: [tex]3\frac{2}{4}[/tex]

You multiply 3 and 4

3*4=12

Then add the numerator

12+2=14

The final answer would be

[tex]\frac{14}{4}[/tex]

Step-by-step explanation:

Its 514 because 107+407 is 514

Answer:

h = 514 meters

Step-by-step explanation:

If the helicopter descends 107 meters to then be 407 meters above the ground, then it was originally 107 meters above 407 meters.

h-107=407

add 107 to both sides

h = 107+407

h = 514

Answer:

D

Step-by-step explanation:

Hope u got it.......

Incomplete questions. Here's the complete question:

Alexandra made a tally chart shown below. A 2-column table with 5 rows. Column 1 is labeled Books Read in the Last Month with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.

Which would be a good statistical question based on the tally chart?

Answer:

How many books did you read in the last month?

Step-by-step explanation:

A tally chart is a numbering system used to quickly record data. It usually involves filling a chart with vertical dashes that represents the number of times an action or information is observed.

Therefore, by asking, "How many books did you read in the last month?", Alexandra would be able to get the answer by means of a tally chart which would show the number of times that action occurred.

The linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0

Functions are expressions represented in terms of a variable.

From the question, we have the following

Total number of hours = 45

If she works 3 hours per day and has worked x days, the total number of hours she needs to work is 3x

Equating to the total hours wwill give:

3x = 45

3x - 45 = 0

Hence  the linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0

Learn more on linear equation here: https://brainly.com/question/14323743

Answer:

area = (a + b)² = a² + 2ab + b²

Step-by-step explanation:

let side length = a + b

area of a square = side length × side length

⇒ area = (a + b)²

            = (a + b)(a + b)

            = a² + ab + ab + b²

            = a² + 2ab + b²

The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

The area of a square is given by the formula: Area = side × side.

In this case, the side of the square is a + b.

Therefore, the expression for the area of the square is:

Area = (a + b) × (a + b).

To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):

Area = a(a + b) + b(a + b)

= a² + ab + ab + b²

= a² + 2ab + b².

So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².

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Answer:

m = -1

Step-by-step explanation:

[tex]m = - (4 + m)[/tex]

Use - to open the bracket

[tex]m = - 4 - m + 2[/tex]

Collect like terms and simplify

[tex]m + m = - 4 + 2 \\ 2m = - 2[/tex]

Divide both sides of the equation by 2

[tex] \frac{2m}{2} = \frac{ - 2}{2} [/tex]

Simplify

[tex]m = - 1[/tex]

Given:

6 gallons of light green paint uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.

Liam has [tex]\dfrac{9}{16}[/tex] gallon of white paint.

To find:

Whether Liam have enough white paint to make 8 gallons of light green paint.

Solution:

Here, 6 gallons of light green uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.

So, the white paint for 1 gallon of light green [tex]=\dfrac{\dfrac{3}{8}}{6}[/tex]

                                                                          [tex]=dfrac{3}{8\times 6}[/tex]

                                                                          [tex]=\dfrac{3}{48}[/tex]

                                                                          [tex]=\dfrac{1}{16}[/tex]

It means, 1 gallons of light green uses [tex]\dfrac{1}{16}[/tex] gallon of white paint.

White paint for 8 gallon of light green [tex]=8\times \dfrac{1}{16}[/tex]

                                                               [tex]=\dfrac{8}{16}[/tex]

She has [tex]\dfrac{9}{16}[/tex] gallon of white paint, which is greater than  [tex]=\dfrac{8}{16}[/tex] gallons.

Therefore, Liam have enough white paint to make 8 gallons of light green paint.

If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 * 16/9 = 6/x

2/3 = 6/x

Cross multiply

2x = 3 * 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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Answer:

2.3

Step-by-step explanation:

because its asking you what the opposite of -2.3 is so it would be a positive instead of a negative  

Answer:

The answer would be 2.3

The opposite of a negative is a positive, and vice versa

Step-by-step explanation:

Hope this helps

Answer:

17x^5 + 5x³ + 4x - 7

Degree of polynomial: 5

Step-by-step explanation:

First put the polynomial is descending order from highest exponent to lowest.

Original: 4x + 5x³ + 17x^5 - 7

New: 17x^5 + 5x³ + 4x - 7

The highest degree is 5 because that's the highest exponent. If it were m²x³ + 7x. The highest degree would be 5 because the exponents equal 5.

I hope this helps!

Answer:

615.44

Step-by-step explanation:

If the diameter is 28, that means the radius is 14.

The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44

The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

We are given that;

Diameter=28cm

Now,

In this case, the diameter of the circle is 28 cm, so the radius is half of that:

r = 28 / 2 = 14 cm

Plugging this value into the formula, we get:

A = π × 14²

Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:

A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²

Or

A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²

Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.

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Multiply time by the difference:

45 x 2 2/3 = 120 minutes

1 hour = 60 minutes

120/60 = 2 hours

Answer: 120 minutes which equals 2 hours

Answer:

The tomato plant is 176 inch tall after 56 weeks.

Step-by-step explanation:

x  ⇒ weeks and y ⇒ inch.

Week 0 the tomato plant starts at 8 inch tall, week 1 it grows to 11 inch tall, week 2 it grows to 14 inch tall, week 3 it grows to 17 inch tall, week 56 is ? inch tall. So, every week (x) the tomato plant grows 3 inch (y).

y = 3x + 8

y = (3 × 56) + 8  

y = 168 + 8

y = 176 inch

[tex]h(n) = 8 + 3n[/tex]

The linear model for the height after n weeks has the following format:

[tex]h(n) = h(0) + an[/tex]

In which:

Starts at 8 inches tall, thus h(0) = 8. Each week the height increases 3 inches, thus, a = 3, and the model is:

[tex]h(n) = 8 + 3n[/tex]

After 56 weeks, the height is of h(56), thus:

[tex]h(56) = 8 + 3(56) = 176[/tex]

176 inches tall after 56 weeks.

A similar problem is given at https://brainly.com/question/16302622

Step-by-step explanation:

first multyply x-4 by 3

second: same as first no:

put the algebric expression in same side

then do 3x-2x = -8 plus 12

then your answer is ready

Answer:

b = Y/2 - x/a

Step-by-step explanation:

Answer:

pretty sure its 10

Step-by-step explanation:

First you wanna know 2 negatives equal a positive. So all you do is multiply the number 5×2=10

Answer:

300 grams

Step-by-step explanation:

2kg = 2000 grams

15% = 15/100

15/100 × 2000 = 300 grams

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Answer:

f(x)=3^x

Step-by-step explanation:

assuming the n-1 is the exponent,

f(x)=3^x

the -1 is removed due to a graph starting at 0

Answer:

common difference is 4

Step-by-step explanation:

12-4=8

8-4=4

Hey there!

Please remember that the ordered pair (0,0) is also called the origin.

Its x-coordinate is 0, and its y-coordinate is 0.

If a line intersects a point (0, 0) then it basically intersects the origin.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

3.16

Step-by-step explanation:

Answer:

-1 1/2, 3

Step-by-step explanation: