Find the common difference of the arithmetic sequence
6.05,6.1,6.15, 6.2

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]

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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Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]

-5-(-2) is the same as -5+2:

[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]

Hence, the slope of the given line is

[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

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#NeverGiveUp

[tex]\tt{An~Amiable~Helper}[/tex]

The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope of line passing through the points (1, -2) and (3, -5)

m= -5-(-2)/3-1

=-5+2/2

=-3/2

Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

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Answer:

goes in order like...

∠3

definiton of angle bisector

∠1

transitive property of congruence

Step-by-step explanation:

i took the test and got it right

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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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.

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

i didn't know the answer sorry

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:

3.16

Step-by-step explanation:

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

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:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

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:

3300 m²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²

Area of a square = side length x side length

⇒ area of the square = 30 x 30 = 900 m²

Surface area of square-base pyramid = area of 4 triangles + area of square

⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²

Answer:

We can't see the planes

Step-by-step explanation:

Answer:

Put the question up bruh

Step-by-step explanation:

Answer:

b = Y/2 - x/a

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:

common difference is 4

Step-by-step explanation:

12-4=8

8-4=4

Answer:

Step-by-step explanation:

Answer:

33.10

Step-by-step explanation:

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:

a) x³y²

b) 6x²y³

Step-by-step explanation:

For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)

For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³

Hope this helps!

Answer:

x-5

Step-by-step explanation:

Answer:

300 grams

Step-by-step explanation:

2kg = 2000 grams

15% = 15/100

15/100 × 2000 = 300 grams

PLEASE MARK ME AS BRAINLIEST

Answer:

-1 1/2, 3

Step-by-step explanation:

If x = y, then 5x = 5y --> Multiplication Property

Answer:

D

Step-by-step explanation:

Hope u got it.......

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

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