Convert 5 kg into grams

The common difference in the arithmetic sequence is 2.5

Arithmetic sequence is a sequence in which the differences between consecutive terms are always same.

Example : 2, 5, 8, 11, ..... is an arithmetic sequence where the common difference is 3.

Formula of arithmetic sequence is [tex]a_{n} =a_{1}+(n-1)d[/tex] ,

where [tex]a_{n}[/tex]= [tex]n^{th}[/tex] term in the sequence,

[tex]a_{1}[/tex]= [tex]1^{st}[/tex] term in the sequence,

d = common difference between terms

Given, [tex]a_{1}[/tex] = 16 and [tex]a_{9}[/tex] = 36

Let, d be the common difference.

∴ From the formula of arithmetic sequence,

   [tex]a_{9} =a_{1}+(9-1)d[/tex]

⇒ 36 = 16+8d

⇒ 36-16=8d

⇒ 20=8d

⇒ d = 20/8

⇒ d = 5/2 = 2.5

Hence, The common difference is 2.5

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Answer:

See below in bold.

Step-by-step explanation:

A.  (x + 7)^2 + (y - 7)^2 = 10.

This is the equation of a circle.

It is NOT a function

One to many correspondence.

B.  y = x^2 + 2x - 3

This is a parabola which opens upwards.

It is a function.

For 2 values of x ( except at the vertex) there is one value of y so it is

many to one correspondence.

Answer:

B. 33.6 cm

Step-by-step explanation:

To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;

First write down the formula for calculating length of an arc

If the angle is measured in degree, then the formula for calculating the length of an arc is :

length of an arc = Ф/360  ×  2πr

but if the angle is measured in radians, then the formula for calculating length of an arc will be:

length of an arc = r Ф

where r is the radius    and Ф is the central angle in radians

In the case of the question given to us, the angle is given in radians, so we will use the second formula

angle Ф = 2.8

radius = 12 cm

length of an arc = r Ф

                           =12 × 2.8

                           =33.6

Length of the arc = 33.6 cm

Answer:

True

Step-by-step explanation:

Just remeber C then D Like a CD, because a cd is a circle XD hope I help

Answer:

54π

Step-by-step explanation:

that's the answer ok

Answer:

Total amount of hamburgers and bottles of water = 5 h + 5 w = 5 (h + w)

Step-by-step explanation:

Since each person in the group of 5 people bought a hamburger (h), and a bottle of water (w), we can write for the total of hamburgers plus bottles of water:

Total = 5 h + 5 w = 5 (h + w)

Answer:

F. A reflection over the x-axis and a horizontal stretch

Step-by-step explanation:

Using Desmos, a well-known graphing-calculator website, you can input the two equations. You can see that the h(x)= -(x/4)^2 equation does in-fact reflect over the x-axis and is wider than x^2, meaning that it has a horizontal stretch.

If you were to plug x = -6 into the equation, you'd find the x+6 portion turns to 0. Any smaller x value is not allowed because x+6 would be negative. We cannot take the square root of a negative value to get some real number.

Put another way, solving [tex]x+6 \ge 0[/tex] leads to [tex]x \ge -6[/tex]

In terms of transformations, [tex]y = \sqrt{x}[/tex] becoming [tex]y = \sqrt{x+6}[/tex] means the graph has been shifted 6 units to the left. The original domain [tex]x \ge 0[/tex] becomes [tex]x \ge -6[/tex], as the domain has also shifted the same 6 units.

Visually, the left most point on the graph will directly determine the smallest domain value. The domain is the set of all allowed x inputs.

The -7 at the end does not affect the domain at all. We can replace it with anything you want, and the domain will still be the same. This value affects the range only.

Answer:

1/12

Step-by-step explanation:

1/6 for the number cube

and 1/2 for the coin landing on heads

1/6 times 1/2

Answer:

C.

Step-by-step explanation:

So just make the statement easier to read.

Simplify it down to 8 > 2 * 5

The students that had grade 8 was more than twice the number of students who got 5.

Answer:

Step-by-step explanation:

the > is pointing at the 8 which means the 8 is bigger

Answer:

triangle

Step-by-step explanation:

Answer: 31%

Step-by-step explanation: We can change a decimal to a percent by moving the decimal point two places to the right.

So in this problem, to change 0.31 to a percent, we

move the decimal point two places to the right.

So we have 31%.

So 0.31 can be written as 31%.

This should make sense because 0.31 can be read

as 31 hundredths or 31 over 100 which is 31%

Answer:

31%

Step-by-step explanation:

To change 0.31 into a percent, you must move the decimal to the right two times.

When we move the decimal in 0.31, it will look like this:

03.1

Now, if we move the decimal again, it will look like this but will be equivalent to 31%:

031. = 31%

Another step-by-step explanation:

You can also write 0.31 as a fraction which is:

31/100 = 31%

It will still be equal to 31%.

Therefore, 0.31 as a percent is equal to 31%.

        Hope this helps!

      ~Hocus Pocus

Answer:

10.13

Step-by-step explanation:

15.03-4.9=10.13

Answer:

10.13 gallons

Step-by-step explanation:

Here, you want to use subtraction

15.03-4.9

4.9 is that same as 4.90

So if we use a subtraction table...

15.03

04.90 -

--------

10.13

This works because I have taken away a digit from the 2nd colum

(Where the 5 was) and I replaced it with a 4 (which isn't shown in my workings). This digit I took away I put next to the 0 in the 3rd colum so I could successfully take away way 10 from 9.

Although the answer is 10.13, remember to state the gallons! So the proper answer should be 10.13 gallons!

Hope this helps!

Answer:D

Step-by-step explanation:

Found on another page

Answer:

D

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

Answer:

The correct answer, I’m pretty sure, is c?

Lol, I hope I helped!!

Solid foam indicates that the cones are made purely out of foam, meaning there is no air or empty space besides the holes in the foam.

So, this means that we are solving for the volume of a cone and then multiplying it by 150 to find out how much foam is required for 150 cones.

V = πr^2(h/3)

π = 3.14

r = 1.5

h = 12

Now, we can plug in our values to solve for volume.

V = 3.14(1.5^2)12/3

V = 3.14(1.5^2)4

V = 3.14 x 2.25

V = 7.065

Round it to the nearest hundredths.

7.065 --> 7.07

Lastly, multiply by 150.

7.07 x 150 = 1,060cm^3 of foam

Thus, 1,060cm^3 of foam is required to make 150 cones.

Hey!!!

In question no.4, we have to subtract the equation.

In question no.5 we have to add the equation.

Hope it will help you...

Answer:

f(x)=45x+25

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin 30 = 16/ x

Multiply each side by x

x sin 30 = 16/x * x

x sin 30 = 16

Divide each side by sin 30

x = 16/ sin 30

x = 16 / (1/2)

x = 32

Answer:

c, x = 32

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin 30 = 16/ x

Multiply each side by x

x sin 30 = 16/x * x

x sin 30 = 16

Divide each side by sin 30

x = 16/ sin 30

x = 16 / (1/2)

x = 32

please make me the brainliest

Answer:

2728.11m

Step-by-step explanation:

The height of the plane is 1020m

The airport makes an angle of elevation of 20.50° with the plane

The distance of the plane from the airport = ?

See attached document for better illustration of the position of the plane and airport

Using SOHCAHTOA,

tanΘ = opposite/ adjacent

θ = 20.50°

opposite = 1020m

adjacent = ? = x

Tanθ = opposite/ adjacent

Tan20.50 = 1020 / x

X = 1020 / tan20.50

X = 1020 / 0.37388

X = 2728.11m

The distance of the plane from the airport is 2728.11m

Answer:

i got 3.5....................

The second part of the process of investigating a question using

data is Collecting the Data.

We have given that options,

A. Making an inference

B. Describing the data

C. Rephrasing the question

D. Collecting the data

We have to determine which option is correct for

The second part of the process of investigating a question using

data.

The investigative process is a progression of activities or steps moving from evidence-gathering tasks.

Therefore in this case second part of the process of investigating is collecting the data.

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Answer: B. Describing the data

Step-by-step explanation:

Answer: Skew line

Step-by-step explanation:

Because it’s 3 dimensional

it's 5. Five... just five

Answer: It took 65 hours for her to drive

Step-by-step explanation:

Answer:

251.6

Step-by-step explanation:

triangle= 1/2bh

1/2(8)14 times 4

224

1/2(6.9)8

27.6

now you add them

224+27.6= 251.6

Answer:

251.6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]x = \frac{9}{2}[/tex]

Step-by-step explanation:

x - 2 (x - [tex]\frac{3x}{2}[/tex]) = 2 (4 - x) + 10

x − 2 × [tex]\frac{-x}{2}[/tex] =2(4−x)+10

x−(−x)=2(4−x)+10

x+x=2(4−x)+10

2x=2(4−x)+10

2x=8−2x+10

2x=−2x+18

2x+2x=18

4x=18

[tex]x = \frac{18}{4}[/tex]

[tex]x = \frac{9}{2}[/tex]

Answer:

I need more information

Step-by-step explanation:

Answer:

z = 4°

Solution:

Given EFGH is an isosceles trapezoid.

By the property of isosceles trapezoid, non-parallel sides are congruent.

⇒ GH = EF

Angles opposite to equal sides are congruent.

∠H ≅ ∠G

m∠H = m∠G

105° = 3z + 93°

Subtract 93° from both sides, we get

12° = 3z

Divide by 3 on both sides, we get

4° = z

Switch the sides.

z = 4°

Hence the value of x is 4°.

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

       1   0  -4

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

[tex]x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)[/tex]

PART 4:

[tex]f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4[/tex]