Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answer:

y = 3/2 ⋅  4^x

Step-by-step explanation:

I hope this helped! please mark as brainliest

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where [tex]A[/tex] is the final population

[tex]A_0[/tex] is the initial population

[tex]b[/tex] is the growth factor

[tex]c[/tex] is the time taken for the growth 'b'

[tex]t[/tex] is the amount of time

Here, we are given that:

[tex]A[/tex] = 6. 9 grams

[tex]A_0[/tex] = 110.4 grams

[tex]b = \dfrac{1}{2}[/tex]

[tex]c = 2.347[/tex] min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].

Putting the values in the formula, we get:

[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]

Therefore, the answer is:

4 half lives have passed.

b.) Total time of decay. We have to find the value of [tex]t[/tex] here.

From answer of part a.):

[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

9514 1404 393

Explanation:

The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.

1/4 = 1/(2·2) will terminate

1/15 = 1/(3·5) will not terminate

Answer:

The answer is 10080

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1

=5+10029+12+34

=10080 answer

Answer:

The missing term is 10

Step-by-step explanation:

2/11=x/55

cross multiply

2*55=11x

x=10

I hope this helps :)

Answer:dusy

Step-by-step explanation:

Answer:

h = SA/(2πr) - r

Step-by-step explanation:

From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:

[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]

the answer is b. the rest is so it can be enough charecters so i can post this answer

Answer:

$4.06 per gallon $4.06 x 7 = $28.42

Step-by-step explanation:

Answer:

38 attendees.

Step-by-step explanation:

Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!

Answer:

[tex]a : b = 14 : 29[/tex]

Step-by-step explanation:

Given:

[tex]Vanilla = 58[/tex]

[tex]Chocolate = 28[/tex]

Required

Represent as ratio

Let chocolate be represented with a and vanilla be represented with b

So, we have:

[tex]a : b[/tex]

[tex]a : b = 28 : 58[/tex]

Divide ratio by 2

[tex]a : b = 14 : 29[/tex]

Hence, the required ratio is [tex]14:29[/tex]

Answer:

i feel as though you have to multiply base times height

Step-by-step explanation:

you would have to multiply it

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Answer:

wrong

Step-by-step explanation:

Answer:

The equation is [tex]y=x-9[/tex]

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  [tex]y=mx+b[/tex]

Where  m  is the slope and  b  is the y-intercept value.  

[tex]y=1x-2[/tex]

Therefore the slope is  

[tex]m=1[/tex]

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

[tex](y-y1)=m(x-x1)[/tex]

Where  m  is the slope and  [tex](x1,y1)[/tex] is a point the line passes through.  

Substituting the information from the problem gives:

[tex](y- (-7)=1(x-2)[/tex]

[tex](y+7)=1(x-2)[/tex]

Or, we can solve for  y  to put the equation in slope-intercept form:

[tex]y+7=x-2[/tex]

[tex]y+7-7=x-2-7[/tex]

[tex]y+0=x-9[/tex]

[tex]y=x-9[/tex]

Answer:

41.6

Step-by-step explanation:

32 x 0.3 = 9.6

9.6 + 32 = 41.6

41.6

i had the same question

Answer:

88.9

Step-by-step explanation:

Answer:

3t-2

Step-by-step explanation:

if anthony has t tickets multiply that by 3 with 3t and subtract 2

Answer:

18 credits per semester

Step-by-step explanation:

Based on the information given the rate at which she is earning credits  is 18 credits per semester.

Using this formula

Credits earning rate=Ending credit-Beginning credits /Number of semesters

Where:

Ending credits=117 credits

Beginning credits=9 credits

Number of semesters=6

Let plug in the formula

Credits earning rate=117-9/6

Credits earning rate=108/6

Credits earning rate=18 credits

Inconclusion the rate at which she is earning credits  is 18 credits per semester.

Learn more here:https://brainly.com/question/25458096

Answer:

Well, the most reasonable explanation would be j+8 or 8+j

Answer:

b

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

Answer:

10

Step-by-step explanation:

Answer:

45:9

Step-by-step explanation:

Answer:

The fourth graph

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

9514 1404 393

Answer:

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

Answer:

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:

We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.

c) 99%, 0.385631, 0.780609

Step-by-step explanation:

This is the only correct option, given the relevant population mean range.  Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option.  Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.

Answer:

6. nebula

7. once the sun reaches the end of its life cycle it will become a white dwarf star

8. i cant see the rest fo the question

Step-by-step explanation:

hope this helps

Answer:

1. A, B, F, G, L

2. A, B, C, F, G, L, M

3. D, K

Step-by-step explanation:

1. THEY ALL HAVE 4 RIGHT ANGLES