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1 year ago

What does this mean? evaluate the expression for y=54y+10

Mathematics

1 answer:

salantis [7]1 year ago

7 0

We have the expression:

$4y+10$

And want to evaluate in y=5, this means we have to replace y in the expression for 5 and calculate the value of the expression, so:

$\begin{gathered} 4y+10,y=5 \\ 4\cdot5+10 \\ 20+10 \\ 30 \end{gathered}$

The expression is 30 when y=5.

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F = uv/u + v make u the subject

never [62]

I'm assuming that you mean

$\dfrac{uv}{u+v}$

because if you meant

$\dfrac{uv}{u}+v$

then u would simplify and you couldn't make it the subject.

Under this assumption, we start with

$F=\dfrac{uv}{u+v}$

We multiply both sides by $u+v$

$F(u+v)=uv$

We expand the left hand side:

$Fu+Fv=uv$

We move all terms involving u to the left and all terms not involving u to the right:

$Fu-uv=-Fv$

We factor u on the left hand side:

$u(F-v)=-Fv$

We divide both sides by $F-v$

$u=\dfrac{-Fv}{F-v}$

3 0

3 years ago

Factor the expression<br> 3x^{2}+16x+5

jasenka [17]

(3x+1)(x+5)
Hehehhehehe

4 0

3 years ago

Read 2 more answers

The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down

sergij07 [2.7K]

Answer:

B, 110

Step-by-step explanation:

Work Backwards!

1.- 260 - 110 = 150 children

2.- 150 X $2.50 (rate of children) = $375

3.- $815 - $375 = $440

4.- $440/$4 (rate of adults) = 110 Adults

7 0

3 years ago

Answer...........................

Usimov [2.4K]

Answer:

9.9 years

Step-by-step explanation:

A = P e ^(rt)

Where A is the amount in the account

P is the amount invested

R is the interest rate

t is the time

P = 8500

r =7% = .07

A = 17000

Substituting into the equation

17000=8500 e^(.07t)

Divide each side by 8500

17000/8500=8500/8500 e^(.07t)

2 = e^(.07t)

Take the natural log of each side

ln (2) = ln e^(.07t)

ln(2) = .07t

Divide each side by .07

ln(2)/.07 = .07t/.07

ln(2)/.07 = t

9.902102579=t

Rounding to one decimal place

9.9 years

4 0

3 years ago

Read 2 more answers

An Impressionist painting increases in value

jok3333 [9.3K]

Answer:

A = $8406.6

Step-by-step explanation:

Given:

Average rate $r=9\%$

Initial cost of painting $a = \$1500$

Time $t = 20\ years$

We need to find the final amount of painting at the end of a 20-year.

Solution:

Using Exponential Growth rate formula as:

$A = a(1+r)^t$ ----------(1)

Where:

A = Final amount

a = Initial amount.

r = Rate as a decimal.

t = Time.

Now, we substitute all given values in equation 1.

$A = 1500(1+0.09)^{20}$

$A = 1500(1.09)^{20}$

Substitute $1.09^{20} = 5.60$ in above equation.

$A = 1500\times 5.60$

A = $8406.62

Therefore, value of the painting at the end of a 20-year A = $8406.6

5 0

3 years ago