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3 years ago

Mary baked 30 cookies. Her family ate of them. Using D write an expression for the number of cookies that remained

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

30 divided by 2 = D

Step-by-step explanation:

None

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Carbon-14 decays at a constant rate, so it can be used to determine the age of fossils. In particular, if the original amount of

Brrunno [24]

In this scenario we know that carbon14 at a given time A(t) = A0e^(-kt), where A0 is the original carbon present, t is time in years and k is the constant.

As we are working with the half life of carbon being 5730 years, we assume original carbon-14 content, A0 = 1, and carbon-14 at half life 5730 years, A(t) = 0.5.

i.e.
0.5 = 1e^(-5730k)
apply Ln to both sides of equation to cancel e
ln(0.5) = -5730k
k = ln(0.5) / -5730
k = -0.69315 / - 5730 = 1.20968 x 10^-4

5 0

3 years ago

46.

Marizza181 [45]

Answer:

46. 10+10+6+6=32

47. 10×6=60

Step-by-step explanation:

46. the formula the perimeter is length plus width, is this case 10+6. but that would only be 2 sides so you have to times that by 2... (10+6)×2

47. area equals length times width so in this case 10×6=60

7 0

3 years ago

Read 2 more answers

What is the future value of $1,740 in 16 years assuming an interest rate of 6.75 percent compounded semiannually?

schepotkina [342]

Fv=p(1+0.0675/2)^2*16
Fv=p(1+0.0675/2)^32
Fv=5,033.22

3 0

3 years ago

Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.1. Use the distributive property: 2. Use the subtraction p

Brrunno [24]

Answer:

$x =\frac{7}{12}$

Step-by-step explanation:

Given equation,

$3(-4x + 5) = 12$

Step 1 : Using distributive of equality,

$3(-4x) + 3(5) = 12$

Step 2 : simplify,

$-12x + 15 = 12$

Step 3 : Using subtraction property of equality,

$-12x = 12 - 15$

Step 4 : Simplify,

$-12x = -7$

Step 5 : Using division property of equality,

$x =\frac{7}{12}$

5 0

3 years ago

Read 2 more answers

If f(x) = 7+ 4x and g(x) = 1/2,

olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ f(x) = 7 + 4x \ }$
$\boxed{ \ g(x) = \frac{1}{2x} \ }$

<u>Question:</u>

What is the value of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }$

<u>The Process:</u>

The form of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ }$ means that f(x) is divided by g(x).

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}$

Let us solve the problem.

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }$

Thus, we get $\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}$

And now, we can calculate the value of $\bigg( \frac{f}{g} \bigg)(5)$ .

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }$

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }$

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}$

<h3>Learn more</h3>

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If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

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5 0

3 years ago