Tom takes a 300 mg Advil for a really bad headache. Every hour that the Adviis in his system, one-third of the medicine dissolves in his body

Step-by-step explanation:

Set M = {20,22,24,26,28,30,32,34}

n(M) = no. of elements in set M

i.e.

n(M) = 8

Answer:

7

Step-by-step explanation:

Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.

M = { 22, 24, 26, 28, 30, 32, 34}

There are 7 elements in the set M.

Thus, n(M) = 7

Answer:

[tex]5^{12}[/tex]

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].

So ,

[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]

Answer:

[tex]10.4[/tex]

Step-by-step explanation:

The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:

[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].

Answer:

DE=3.75

DF=6

Step-by-step explanation:

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

~Set up an equation and solve for x :

→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]

Add the numbers : 75° & 70°

→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]

Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :

→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]

→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]

→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]

~Divide both sides by 10

→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]

→ [tex] \large{ \tt{x = 10 \degree}}[/tex]

⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

☄Let me know if you have any questions regarding my answer !

♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Answer:  -2.25

Step-by-step explanation:

We plug in the numbers.

[tex]\frac{3xy}{2z}\\= \frac{3(2)(-3)}{2(4)}\\= \frac{-18}{8}\\= -2.25[/tex]

Answer:

It is 39.3

Step-by-step explanation:

You find the circumference using the formula 2πr so you get 20π.

and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.

So 20π*225/360 is about 39.3

Answer: 305 people

Step-by-step explanation:

The total number of people sampled is:

= 71 + 22 + 27 + 83

= 209

Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:

= 71 + 27

= 98 people

In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:

= 98/ 209 * 650

= 305 people

Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

Learn more about Mean here:

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Answer:

25728

Step-by-step explanation:

Amount i would have in 3 months = simple interest + amount deposited

Simple interest = principal x time x interest rate

Principal = 25600

Interest rate = 2%

Time = 3/ 12 = 0.25

25,600 x 0.02 x 0.25 = 128

Total amount = 25,600 + 128 = 25728

Answer:

25

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The given ratios 3/11 and 17/6 are not proportional.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given ratios are 3/11 and 17/6.

In order to check the proportionality cross multiplication is done as follows,

3/11 and 17/6

Cross multiply the numerators and denominators as follows,

3 × 6 and 17 × 11

=> 18 and 187

Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.

Hence, the given ratios are not proportional.

To know more about ratio and proportion click on,

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Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]

Step-by-step explanation:

Here we need to use the property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

We have the expression:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]

We can separate it in parts with the same base, then we can rewrite this as:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]

Using the first property we can rewrite this as:

[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]

Answer:

C. y=3/x

Step-by-step explanation:

hope this helps, sorry if I am wrong

Answer:

54

Step-by-step explanation:

put 5 in for x and 6 in for y

Answer:99

Step-by-step explanation:

Answer:

50 times

Step-by-step explanation:

Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%

Answer:

1/10th

Step-by-step explanation:

You multiply,

1/2 x 1/5 = 1/10

You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.

I think its 2..........

Answer:

No b/c the hypotenuse is too short

Step-by-step explanation:

13² + 15² = 19²

169 + 225 = 361

394 ≠ 361

Answer:

The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.

Step-by-step explanation:

Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.

If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:

[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]

Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.

[tex](x+5)=0\\x = -5[/tex]

[tex](x-7)=0\\x = 7[/tex]

Now, if we see the quadratic equation or the function it is written as,

[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]

Therefore, the value of y is 0.

Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).

Learn more about Quadratic Equation:

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Answer:

P'(7,-3)

Q'(3,-1)

R'(7,-1)

Step-by-step explanation:

Switch signs of y-value when reflecting across x-axis.

Switch signs of x-value when reflecting across y-axis.

Hope this helped!

Answer:

Step-by-step explanation:

1.

by using Pythagoras law

h²=p²+b²

17²=6²+x²

x=√{17²-6²)=√253=15.9=16approx

2.

by using Pythagoras law

h²=p²+b²

x²=9²+15²

x=√306=17.49=17.5approx

Answer:

1 is 16.                    2 is 17.49 or 17.5 or 17          depends on how you're rounding.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a number gets increased by scale factor = k

Then k > 1

If the number gets decreased by a scale factor 'k'

Then 0 < k < 1

Let numbers gets increased by the scale factor = 2,

And decreased by the scale factor = [tex]\frac{1}{2}[/tex]

Numbers             Scale up by 2           Scale down by [tex]\frac{1}{2}[/tex]

   0.05                  0.05 × 2 = 0.1             0.05 × [tex]\frac{1}{2}[/tex] = 0.025

    [tex]\frac{1}{2}[/tex]                        [tex]\frac{1}{2}\times 2 = 1[/tex]                      [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]

    7                       7 × 2 = 14                     7 × [tex]\frac{1}{2}[/tex] = 3.5

   13                      13 × 2 = 26                  [tex]13\times \frac{1}{2}=6.5[/tex]

   25                     25 × 2 = 50                 [tex]25\times \frac{1}{2}=12.5[/tex]                

  102                   102 × 2 = 204              [tex]102\times \frac{1}{2}=51[/tex]

Answer:

Step-by-step explanation:

⅔n - 5 = ⅓n + 7

⅓n = 12

n = 36

Answer:

Yes, they are equivalent

Step-by-step explanation:

15 months= 1.25 years

60/2.5= 24

30/1.25 = 24

Answer:

Step-by-step explanation:

Since 2.5 years equals 2.5(12)=30months you have

60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30

Answer:

[tex]2\frac{1}{5}[/tex]

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].