The mass of a sample of the chemical element einsteinium-253253253 after it is initially measured is represented by the following table:
Time (weeks) Mass (grams)
000 400400400
333 201201201
666 989898
999 505050
121212 242424
151515 121212
Which model for M(t)M(t)M, left parenthesis, t, right parenthesis, the mass of the sample ttt weeks after it's initially measured, best fits the data?

Answer:

This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.

5/3 * 3/2 * 4/5

= 5*3*4 = 15*4 = 60

= 3*2*5 = 6*5 = 30

Volume = 5/3 x 3/2 x 4/5

5/3 x 3/2 = 15/6

15/6 x 4/5 = 60/30 = 2

Volume = 2 cubic units

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} \times 20[/tex]

[tex]\frac{60}{5}[/tex]

[tex]=12[/tex]

Answer:

12 students

Step-by-step explanation:

First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.

Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12

12 students have pets in Ms. Johnson's class

Answer:

b.3

Step-by-step explanation:

im not 100% sure

Answer:

a) 0

Step-by-step explanation:

Given that TRAP × 9 = PART and  T, R, A, P all have different integer values (that is their values are different). TRAP and PART are both made up of four integers digits, that means 1000 ≤ TRAP and PART ≤ 9999. This means that TRAP × 9 ≤ 10000. The value of R can be gotten from:

[tex]TRAP<\frac{10000}{9}<1112(rounding \ to \ the \ next \ whole \ number)[/tex]

T cannot be 0, therefore T= 1, Since their values are different, R cannot be equal to T, we get that R can only be 0

Answer:

C

Step-by-step explanation:

[tex]x^{2} + 8x + 10 - 3 = 0\\x^{2} + 8x + 7[/tex]

Answer:

C

Step-by-step explanation:

A P E X

Answer:

1. 276040 = 300000

2.£200

3. 20000km

Step-by-step explanation:

According to some reaserch,

To round to a significant figure:

1. look at the first non-zero digit if rounding to one significant figure

2. look at the digit after the first non-zero digit if rounding to two significant figures

3.draw a vertical line after the place value digit that is required

4. look at the next digit

5.if it's 5 or more, increase the previous digit by one

6.if it's 4 or less, keep the previous digit the same

fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one

Answer:

Step-by-step explanation:

We have tanπ3=−tan2π3=tan4π3=3–√

Since tan(3x)=3tanx−tan3x1−3tan2x

Thus tanπ/9,−tan2π/9,tan4π/9are solutions to the polynomial 3–√=3x−x31−3x2

On simplication, x3−33–√x2−3x+3–√=0.(1)

Since (tanπ9−tan2π9+tan4π9)2

=tan2π9+tan22π9+tan24π9

+ 2( -tanπ9tan2π9+tanπ8tan4π9−tan2π9tan4π9)

By sum and product pairs of roots in (1) above

(−33–√)2=tan2π9+tan22π9+tan24π9+2×−3

∴tan2π9+tan22π9+tan24π9=33

Answer:

Step-by-step explanation:

F = ma

ma = F

a = F/m

Answer:

57 degree

Step-by-step explanation:

Using cos formula again~

So AB^2=BC^2+AC^2-2*BC*AC*cosC

AB= 25.15cm

BC^2=AB^2+AC^2-2ABACcosA

Cos A=0.55

A=56.58degree

Answer:

6 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 0 Celsius.

Rises by 6 (add by 6).

[tex]0+6[/tex]

[tex]6[/tex]

Answer:

[tex]x^2-4x+12[/tex]

Step-by-step explanation:

[tex](x-2)(x-6)[/tex]

[tex]x(x-6)-2(x-6)[/tex]

[tex]x^2-6x-2x+12[/tex]

[tex]x^2-4x+12[/tex]

Answer: 50 ft

Step-by-step explanation:

The correct function is h(t)=-16t^2+200t+50.

Hi, to answer this question we simply have to replace t =0 in the function given:

h(t)=-16t^2+200t+50.

h (0) = -16t^2+200t+50.

h(0) = 50

When the time is 0, the rocket is at the top of the building.

The rocket was launched from a 50 ft height.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C 30

Step-by-step explanation:

g(t) = t^2-t

f(x) = 1+x

g(f(2)+3)

First find f(2)

f(2) = 1+2 = 3

g(f(2)+3) = g(3+3) = g(6)

g(6) = 6^2-6

      =36-6

      = 30

Answer:

Im pretty sure its D

Step-by-step explanation:

157 dollars per ticket

Show work

5 tickets times 18 dollars equals 90 dollars

875 minus 90 dollars in insurance equals 785

785 dollars divided by 5 tickets equals $157

Answer:

a). 8100 bacteria

b). 519 bacteria

c). Infinite

Step-by-step explanation:

Population growth of a bacteria is given by the exponential function,

f(x) = [tex]P_{0}(1+\frac{r}{100})^{t}[/tex]

Where f(x) = Population after time 't'

[tex]P_{0}[/tex] = Initial population

r = Growth rate

t = Duration after t hours

If "100 bacteria gets tripled every hour"

300 = [tex]100(1+\frac{r}{100})^{1}[/tex]

3 = 1 + [tex]\frac{r}{100}[/tex]

r = 100×(3 - 1)

r = 200

So the function is, f(x) = [tex]100(3)^{t}[/tex]

a). Population after 4 hours,

    f(4) = [tex]100(3)^{4}[/tex]

          = 8100 bacteria

b). Population after 90 minutes Or 1.5 hours

     f(1.5) = [tex]100(3)^{1.5}[/tex]

             = 519.61

             ≈ 519 bacteria

c). Population after 72 hours,

    f(72) = [tex]100(3)^{72}[/tex]

            = Infinite

The answers are A and D. Hope this helps!

Answer:

[tex]\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}[/tex]

Step-by-step explanation:

9 pencils cost $7.74

6 pencils cost x

The ratios are  

[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x}[/tex]

According to the alternendo property,

[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}[/tex]

Answer:

correct

Step-by-step explanation:

Answer:

20.4 years

Step-by-step explanation:

The nper formula in excel comes handy in this scenario:

=nper(rate,pmt,-pv,fv)

Rate is the monthly rate of 5.4%/12

Assuming actual investment is $5,000 which is pv

The triple amount would be $5,000*3=$15,000 which is future value fv.

pmt is the regular cash flow the investment which is zero

=nper(5.4%/12,0,-5000,15000)= 244.68  months

Yearly it can be expressed as = 244.68/12  =20.39  years

When rounded to one decimal place it becomes 20.4 years

Answer:

Length of the string let out by Jim is 156.9 m.

Step-by-step explanation:

From the figure attached,

Jim observes the angle of elevation of the kite = 85°

And Patty observes the angle of elevation of the kite = 40°

Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°

Distance between Jim and Patty = 200 m

Let the length of the string between Jim and the kite = x meters

By applying Sine rule in the triangle formed between Jim, Patty and the kite,

[tex]\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}[/tex]

x = [tex]\frac{200\times \text{Sin}40}{\text{Sin}55}[/tex]

x = 156.94 m

  ≈ 156.9 m

Therefore, length of the kite string from Jim and the kite is 156.9 m.

Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.

Answer:

12a - 6b

Step-by-step explanation:

Given

8a + 3b + 4a - 9b ← collect like terms

= (8a + 4b) + (3b - 9b)

= 12a + (- 6b)

= 12a - 6b

Answer:

C and A : ) : )

If you're looking for an anime to watch, watch Dororo if you haven't already

Answer:

C and A

Step-by-step explanation:

Edge 2021

If he spent $18 at the fair and each ride was $1.50 Leroy went on 12 rides because 18 divided by 1.5 equals 12. Hope this helped :)

Answer:

B. -2/5

Step-by-step explanation:

Use the "rise over run method"

Do this by finding two points on the graph, then finding the distance between the two points. First find the vertical distance, then the horizontal. The direction represents whether the slope will be negative or positive. When it goes up, it'll be positive, down=negative. Right=positive, left=negative. Two negatives make a positive, but one positive and one negative make a negative.

Answer:

Step-by-step explanation: boy do it

1-2 /23 46 me

Answer.

Step-by-step explanation: Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then places it back in the bag. She repeats this 46 times.

Pilar calculates the relative frequency of each number card.

Outcome 1 2 3 4 5

Relative Frequency 0.05 0.35 0.26 0.13 0.21

Which statement about Pilar's experiment is true?

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

Answer: 4 and 5

Step-by-step explanation:

4.89 is higher than 4 and lower than 5

Answer:

Step-by-step explanation:car 10 percent

Phone 1 percent

Clothes 5 percent

Charity 3.84 percent

Mac 0.4percent

Apple watch 0.2 percent

Hawaai trip 1.57 percent

Home 73 percent