3+ х = х2 + 3x
rewrite by completing the square

Answer:

c + 13c ≥ 78c

78c - 13c =

65c

Answer:

yes, if this is the answer you're looking for

Step-by-step explanation:

Yes. The scale factor is 1/2 or Divide by 2

The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.

Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:

[tex]\mathbf{y = a(1 - r)^t}[/tex]

where;

[tex]\mathbf{y = 550(1 - 0.25)^{12}}[/tex]

y = 17.42 mg

Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.

Learn more about the exponential decay model here:

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The correct statement for the symbol of a radioactive nuclide is the number of neutrons present in the nucleus of each atom is 126.

Radioactive nuclide or radioisotope is a different species of chemical element which have a similar mass.

These elements have unstable nuclei, which waste energy by emitting radiation such as alpha, and beta-gamma rays.

Thus, the correct option is C, the number of neutrons present in the nucleus of each atom is 126.

Learn more about radioactive nuclide

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Answer:

c

Step-by-step explanation:

Answer:

I believe it is 10!

Step-by-step explanation:

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.

The only multiple between -4 and 12 is 10!

Hope this helps!!!!

Answer:

3500×1.04

3500\times 1.216653 simplify

3500×1.216653 simplify

Simplify  3500\times 1.2166533500×1.216653  to  4258.2851584258.285158.

4258.285158 simplifed

Step-by-step explanation:

hope this helps if not please let me know

Answer:

The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers is zero. In symbols, where a and b represent numbers, if ab=0, then a = 0 or b=0

Step-by-step explanation:

Answer:

The identity property of 0, also known as the identity property of addition, tells us that any number + 0 = the original number. Adding zero will not change the "identity" or value of the number you are adding it to. For example: 5 + 0 = 5.

6 + 0 = 6

1 + 0 = 1 ... etc.

Answer:

Step-by-step explanation:

one candle volume = area of base (circle) × height

V=r²πh

V=6²×π×9

   =36cm²×π×9cm²

  =351π cm³

  ≈1017.36 cm³

then multiply by 5 because there are 5 candles

= 5×351π cm³ = 1755 cm³

≈ 5510.7 cm³

Answer:

Dali Lang po Yan Kaya mopo yan

Answer:

7 is in the hundredths place

Step-by-step explanation:

If your asking for the place value the 7 is the hundredths hope this is what your looking for

To turn something into the slope-intercept form

  ⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]

To convert our current form into slope-intercept form

 ⇒ must solve for 'y'

    ⇒ (in other words) move everything to one side and 'y' by itself on the

    other

        [tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]

     *purely extra information (not necessary for final answer)

Slope-intercept form: y = 3x - 27

Hope that helps!

6. d = 24 and w = (-4)

   [tex]-\frac{d}{6} -5-8w=-\frac{24}{6} -5-8(-4)=-4-5+32=23[/tex]

7. n = 7 and d = 2

   [tex]-7d +2(6n - 9)\\ = -7(2) + 2(6(7) - 9) \\= -14 +2(42-9)\\=-14+2(33) = -14 + 66 = 52[/tex]

8. d = (-6) and w = (-9)

    [tex]8-\frac{d}{3} +6w=8-\frac{(-6)}{3} +6(-9)=8+2-54 = -44[/tex]

9. s = 4 and z = (-5)

    [tex]\frac{8}{s} +3+4z=\frac{8}{4} +3+4(-5)=2 + 3 - 20 = 5 -20 = -15[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

8 with an exponet of 30 over 8 with an exponent of 8 ( aka ) 240/64

Answer:

One is 89 , the other is 33.

Step-by-step explanation:

Set up a system of 2 equations:

x + y = 122

x - 2y = 23        Subtracting:

0 + 3y = 99

y = 33.

So:

x + 33 = 122

x = 122 -33 = 89.

Answer:

first number= 89 and second number= 33

Step-by-step explanation:

here, let the first number be X and the second number be y,then

From the question,

x + y = 122 ---- eq i

x -2y = 23 ----- eq ii

From substitution method,

From eq i,

x + y = 122

or, x =122 - y

Now, putting the vale of x in eq ii,we get,

122 -y -2y = 23

or, -3y = 23-122

or, -3y = -99 (cut minus sign in both sides)

or, y=99/3

or, y = 33

Again, putting the value of y in eq i,we get,

x + 33 = 122

or, x= 122-33

or, x=89

Answer:

x > -12

Step-by-step explanation:

Think of X as 1, so its kinda like 1x, so (1x+4=5x). Times the 2, = 10x.

1. X + 4 = 5x

2. 5x · 2 = 10x

3. Place the variables, X > -12

Answer: X > -12

The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.

Volume of rectangular pyramid = 1/3(base area × height of pyramid)

Given the following:

Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.

Learn more about volume of rectangular pyramid on:

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Answer:

The answer is 3

Step-by-step explanation:

Answer:

The unit rate would be 3 dollars per pound!

Answer:

81

Step-by-step explanation:

65 meters plus the 16 is 81

Answer:

Step-by-step explanation:

AB represent the building. C represents the spot

The building forms right angle with the ground.

BC will be the hypotenuse and AB, AC are the legs

Use Pythagorean theorem,

AB² + AC² = BC²

AB² + 16² = 65²

AB² + 256 = 4225

          AB² = 4225 - 256

                 = 3969

          [tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]

AB = 63 m

height of the building = 63 m

Answer:

$13.96

Step-by-step explanation:

1st, we figure out how much it cost to make the quilt.  The thread cost $2.99.  She bought 3 yards of fabric for $9.35 per yard, so the fabric cost $9.35 x 3 = $28.05.

The quilt cost $28.05 + $2.99 = $31.04

Profit is sales price less the cost of the item.  It's the money left over.

Sales price $45.00 - cost $31.04 = $13.96 is her profit

Step-by-step explanation:

.......................

Answer:

320

Step-by-step explanation:

Answer:

320 MP3 players

Step-by-step explanation:

4/50 MP3 players are defective

Multiply by 80 to get the whole shipment

4/50 x 80 = 320/4000

Answer:

10/21

Step-by-step explanation:

3/7 + 1/21

= 9/21 + 1/21

=9 + q/21

= 10/21

Answer:

Option D is correct

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex]   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]

5.

[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Therefore, the missing step in 6 we get,

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Answer:

5.25 inches or [tex]5 \frac{1}{4}[/tex] inches

Step-by-step explanation:

I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:

7 / 2 = 3.5

3 / 2 = 1.5

Now, we multiply:

3.5 * 1.5 = 5.25

If you want fraction form, we can turn .25 to 1/4.

Fraction form: [tex]5 \frac{1}{4}[/tex]

18

Hope it helps.

Do comment if you have any query.