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3 years ago

Find the value of 9u +4 given that 7u-4=3.

Mathematics

2 answers:

xenn [34]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

7u - 4 = 3 ( add 4 to both sides )

7u = 7 ( divide both sides by 7 )

u = 1

Then

9u + 4 = 9(1) + 4 = 9 + 4 = 13

lesya [120]3 years ago

6 0

Answer:

$7u - 4 = 3 \\ 7u = 4 + 3 \\ 7u = 7 \\ u = \frac{7}{7} \\ \boxed{u = 1} \\\\f(u) = 9u + 4 \\ f(1) = 9(1) + 4 \\f(1) = 9 + 4 \\ \boxed{f(1) = 13 }$

<u>13</u> is the right answer.

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3 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

3 years ago

The railing of a wheelchair ramp is parallel to the ramp. Find x and y in the diagram.

yKpoI14uk [10]

Given:

The wheel chair ramp is parallel to the ramp.

To find:

The value of x and y.

Solution:

If two lines are parallel, then the alternate interior angles are congruent.

4x° + 6y° = 86° --------- (1)

Similarly,

5x° + 6y° = 94°

Subtract 5x° from both sides.

5x° + 6y° - 5x° = 94° - 5x°

6y° = 94° - 5x° --------- (2)

Substitute (2) in (1).

4x° + 94° - 5x° = 86°

94° - x° = 86°

Subract 94° on both sides.

94° - x° - 94° = 86° - 94°

- x° = 86° - 94°

- x° = -8°

Multiply by -1 on both sides, we get

x = 8

Substitute x = 8 in (2).

6y° = 94° - 5(8)°

6y° = 54°

Divide by 6 on both sides, we get

y = 6

The value of x is 8 and y is 6.

5 0

3 years ago

What is the distance between the points (4, -8) and (10,8)?

LuckyWell [14K]

Answer:

you can not find the distance between them

Step-by-step explanation:

there are no like numbers, if the problem was 4, -8 and 4, 8 i could solve it, so sorry

3 0

3 years ago

Read 2 more answers

(4x-25) help quickly pls

Oduvanchick [21]

Answer: 4x-25 is the answer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers