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arsen [322]
3 years ago
11

The ratio of lime juice to soy sauce in a salad dressing is 8: 9 .The total of both ingredients is 51 tablespoons . How many tab

lespoons of each ingredient are​ used?
Mathematics
1 answer:
Anna35 [415]3 years ago
5 0
47 table spoons would be the answer
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Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for
Rudik [331]
A(t) = Ao*e^(-rt)

-rt = ln [ A(t)/ Ao]

t = - ln [ A(t)/ Ao] / r

r= 0.0124% = 0.0124/100 = 0.000124

A(t)/A0 = 10% = 10/100 = 0.1

Now substitute

t = - ln [0.1] / 0.000124 = 2.3025851 / 0.000124 = 18,569 years

Your result will depend on how you round ln(0.1).
8 0
3 years ago
PLSS HELPPP!!! IN ORDER TO RECIEVE A BRAINLY, ANSWER QUICKLY AND CORRECTLY, AND MOST OF ALL, GIVE AN EXPLANATION!!! TYSM IN ADVA
Natalija [7]

Answer:

A. {−3.5, −2, 1, 2.5}

Step-by-step explanation:

Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:

y=9+6x

6x=y-9

So we just insert the values, the first one being -12.

So since from the options only A has -3.5 as an option that's the correct answer.

hoped this helped! <3

7 0
3 years ago
Read 2 more answers
F(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Alona [7]

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

f(x) =  - 9 {x}^{2}  - 2x,  \:  \: g(x) =  - 3 {x}^{2}  + 6x - 9 \\ (f - g)(x) = f(x)  - g(x) \\  = - 9 {x}^{2}  - 2x - (- 3 {x}^{2}  + 6x - 9) \\  =  - 9 {x}^{2}  - 2x  + 3 {x}^{2}   -  6x  +  9 \\    \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2}  - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2}  - 8( - 4) + 9 \\  =  - 6 \times 16 + 32 + 9 \\  =  - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}

6 0
3 years ago
The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
3 years ago
The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round y
julsineya [31]

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

S=4\pi r^2

where S is surface area

r is radius

so, firstly we need to find radius or r

200.96=4\pi r^2

we can solve for r

r=3.9989cm

now, we can find volume

V=\frac{4}{3} \pi r^3

we can plug r

V=\frac{4}{3} \pi (3.9989)^3

now, we can find volume

V=267.86cm^3.............Answer

7 0
3 years ago
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