one trillion one hundred eighty-six billion two hundred million in number form

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Answer: 216.75 in^2

Step-by-step explanation: area = 8.5 x (8.5x3)

8.5 x25.5

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft

Answer: the answer is 55 degrees

Step-by-step explanation:

Answer:

4 and 4

Step-by-step explanation:

4 times 4 is 16 which would equal the area.

Answer:

x = 36

Step-by-step explanation:

Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x

Then x = 180/5 = 36

The measure of x for the given angles is 36° so option (D) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The angle is the measurement of the angular distance.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.

Now,

∠EAB = 180°

∠EAF + ∠FAB = 180°

3x + 2x = 180

5x = 180

x = 36°

Hence "The measure of x for the given angles is 36°".

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ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

Answer: 698352.000

698352 rounded to the nearest 1000 is 698352.000

Answer:

115.2

Step-by-step explanation:

Take 345.6 miles and divide it by 3 getting your answer. Have a great day!

Answer

When a input uses two outputs, say we have

5,6

5,8

3,4

6,2

9,1

Notice how 5 uses two instead of one meaning the function is unfunctional

Step-by-step explanation:

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

Answer:

5.5

3y = x

Step-by-step explanation:

→ Find the scale factor enlargement

12 ÷ 4 = 3

→ Divide 16.5 by 3

5.5

→ Write SF in terms of x and y

3y = x

The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

According to question

Triangle ABC ≅ triangle PQR  

where,

AB = 4cm

PQ=12cm

RQ= 16.5 cm

AC = xcm

PR= ycm

According to the similarity rule

the same ratio of corresponding sides

therefore,

[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]

(a) Calculate the length of BC

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]

⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]

⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]

⇒ BC = 5.5 cm

 (b) Write down an expression for y in terms of x

we know  ,  [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]

⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]

⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]

⇒ [tex]y=3x[/tex]

Hence, Length of BC is 5.5 cm and equation for y = 3x

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Answer:

2

Step-by-step explanation:

multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)

Start with 2: 46/2 = 23, so the least common multiple is 2

Answer:

a)5.83cm

Step-by-step explanation:

You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.

not sure about the 2nd bit, but you may have to use trigonometry

The answer is: No, the random condition is not met.

[tex]__________________________[/tex]

Answer:

-9 - 2 = -11

Step-by-step explanation:

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

12y-4y=8y

8y=24

÷8. ÷8

y=3

Answer:

6 8/9 , 69/10 , 6.99 , 7.927

Step-by-step explanation:

[tex]\frac{69}{10} = 6.9[/tex]

[tex]6\frac{8}{9} = 6.8[/tex]

Since "a" is on the top and the bottom, you can simplify that

[tex]\frac{a^2b^2}{ac}[/tex]

[tex]\frac{ab^2}{c}[/tex]

The two angles form a straight line and need to equal 180 degrees

180 - 61 = 119

The missing angle is 119 degrees

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

A=4

B=-2

Step-by-step explanation:

the gradient to B is a negative coz the line is sloping downwards

Answer:

m (A) = 4

m (B) = - 2

Step-by-step explanation:

choose any 2 coordinates on line A to use it in the formulae

no need to do so for line B because the y-int and x-int both are clear.

Based on the data, the median time it takes players to complete the game is 1148 minutes.

It is the mathematical value that is the middle when values are sorted.

457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864

Identify the value of the middle

Considering there are 13 values, the value of the middle is the value number 7 or 1148.

Note: This question is incomplete because the data is missing, below I attached the missing section,

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