The graph below shows the number of paintballs a machine launches, y, in x seconds

Answer:

5

Step-by-step explanation:

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

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Answer:

[tex]\huge\boxed{\sf x \geq -154}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{11} - 6\geq -20[/tex]

Add 6 to both sides

[tex]\displaystyle \frac{x}{11} \geq -20+6\\\\\frac{x}{11} \geq -14[/tex]

Multiply both sides by 11

x ≥ -14 × 11

[tex]\rule[225]{225}{2}[/tex]

Hello !

Answer:

[tex]\Large\boxed{\sf x\ge -154}[/tex]

Step-by-step explanation:

Let's solve the following inequality :

[tex]\sf \frac{x}{11}-6\ge -20[/tex]

Add 6 to both sides :

[tex]\sf \frac{x}{11}-6+6\ge -20+6[/tex]

[tex]\sf \frac{x}{11}\ge -14[/tex]

Multiply both sides by 11 :

[tex]\sf \frac{x}{11}\times 11\ge -14\times 11[/tex]

[tex]\boxed{\sf x\ge -154}[/tex] or [tex]\sf x\in [-154, +\infty)[/tex]

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Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.

When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.

The compound interest is given by the formula:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where,

A is the amount of money after 4 years

P is the initial deposit of $250

r is the annual interest rate of 2% = 0.02.

n = 1 and

t = the number of years = 4.

Substituting the values we have:

[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]

Hence, after 4 years, the first year student will have $270.60 in their savings account.

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Answer:

4

Step-by-step explanation:

Answer:

[tex]a=4.1[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]a^2=c^2+b^2-2cb\cos A[/tex].

Plugging in given values, we get:

[tex]a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}[/tex].

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Answer:135

Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer

Since y is 27, the value of angle 5y will be 135°.

Supplementary angles are those angles that sum up to 180 degrees.

Given 5y and 45° angles are supplimentry angles

Two angles are called supplementary when their measures add up to 180 degrees.

Thus,

5y + 45 = 180

5y = 135

y = 27°

therefore, the value of angle 5y  will be 135° since y is 27.

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Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

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Answer:

5,000

Step-by-step explanation:

x× 5 %=250

x=250×100÷5=5000

Answer:

point slope form.

Step-by-step explanation:

this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y

Answer:

Your answer is 264

Step-by-step explanation:

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Answer:

pure out 8 gallons

Step-by-step explanation:

Im big brain.

Step-by-step explanation:

removing 8 gallons of water from a fish tank

Answer:surface area is 24

Step-by-step explanation:

Answer:

I think 1.5 i could be wrong is there options?

Step-by-step explanation:

Answer:

101/40 miles or 2 21/40

Step-by-step explanation:

You add the two values together.

Answer:

2 21/40

Step-by-step explanation:

Answer:

14

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9514 1404 393

Answer:

  (a)  y = 1/2x + 2

Step-by-step explanation:

The only equation that matches the first table entry is ...

  y = 1/2x +2

  3 = (1/2)(2) +2 . . . . first table entry

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

Answer:

hey hun, I think u need to give us more information on the question. Is that the full question ??

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

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