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3 years ago

12

Hector needs to buy a window shade in his house. He measured the width of the window as 37 inches. The actual measurement is 40

inches. What is the percent error

1 answer:

aksik [14]3 years ago

6 0

Answer:

3/40 = 7.5%

Step-by-step explanation:

3/40 percent error.

3/40 = 7.5%

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The smaller of two consecutive even integers is two more than half of the greater. find the two integers.

lana [24]

Greetings and Happy Holidays!

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
$x=\frac{(x+2)}{2}+2$

Simplify:
$x=\frac{1}{2}x+1+2$

$x=\frac{1}{2}x+3$

Add $\frac{-1}{2}x$ to both sides:
$(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)$

$(\frac{1}{2}x)=3$

Divide both sides by $\frac{1}{2}x$
$\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}$

$x=\frac{3}{1}(2)$

$x=\frac{6}{1}$

The Answer Is:
$\boxed{x=6}$
and
$x+2=6$
$\boxed{x=8}$

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin

8 0

3 years ago

What is the area of the triangle shown below? 13 13 10

Firdavs [7]

Answer: 60 units^2

Step-by-step explanation:

6 0

3 years ago

Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is pr

tia_tia [17]

Answer:

See explanation below

Step-by-step explanation:

In this case, let's answer this by parts:

<u>a) Concentration at time t when Co is concentration at t = 0:</u>

In this case, we will use the initial expression but without the 2, so:

C(t) = -kC

In this case, we want to know the concentration at time t so:

C'(t) = -kC(t) derivating:

dC/dt = -kC

dC/C = -kdt From here, we can do integrals so:

lnC = -kt + C₁ (1)

Now, it's time to replace t = 0 and C = C₀:

lnC₀ = -k(0) + C₁

lnC₀ = C₁ (2)

Replacing (2) in (1) we have:

lnC = -kt + lnC₀

lnC - lnC₀ = -kt

ln(C/C₀) = -kt

C/C₀ = e^(-kt)

C(t) = C₀ e^(-kt) (3)

This is the expression for C at given time t.

<u>2. time to eliminate 80% of the drug:</u>

With the first data, we need to calculate the value of k, which will be constant at any given time so:

C(t) = C₀ e^(-kt)

0.5C₀ = C₀ e^(-30k)

0.5 = e^(-30k)

ln(0.5) = -30k

k = 0.02310

Now with this value we can calculate the time to eliminate 80% of the drug or simply in other words, that we just have a remaining of 0.2C₀:

0.2C₀ = C₀ e^(-0.0231t)

ln(0.2) = -0.0231t

-ln(0.2) / 0.0231 = t

t = 69.67 h

This is the time to eliminate 80% of the drug

8 0

3 years ago

I need help ASAP. Last Assignment for this class.

german

Answer:

a squared plus b squared equals c squared

Step-by-step explanation the answer either your in for a bumpy ride

4 time 3=12

7 0

3 years ago

Read 2 more answers

Martin has a board that is 4 3/4 ft long. If he cuts it into pieces that are 2/8 of a foot long, how many pieces can he cut?

lina2011 [118]

Answer:

19

Step-by-step explanation:

I found it by making 4 3/4 to 4 6/8 by multiplying the numerator and denominator by 2, so the denominators can be equivalent, and then you do 4 6/8 ÷ 2/8 = 19

6 0

2 years ago