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3 years ago

14

Please Help:

1 answer:

Brilliant_brown [7]3 years ago

6 0

Well, I only know the answer to the first one (Sorry!!)
First you have to divide 7/4 by 7/8, or 7/4 x 8/7. That equals 56/28, an improper fraction. So, you divide 56 by 28, which equals 2.
So, it will take 2 days to process what was collected on Saturday.

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Determine whether a triangle with the given vertices is a right triangle.

____ [38]

The answers are:

A) right triangle
B) right triangle
C) right triangle

7 0

3 years ago

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

A)

$k=0$

B)

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

C)

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

A)

Given that h(1) = 20, we want to find <em>k</em>.

h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

B)

Given that h(1) = 40, we want to find 2<em>k</em> + 1.

Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

C)

Given that h(1) = 10, we want to find <em>k</em> - 3.

Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

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

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

2 years ago

Ben says that n=5 is the solution of the equation 7n=45. How can you check whether Ben is correct?

GalinKa [24]

Answer:

Its not. 45 would have to be 35 for n to be 5.

Step-by-step explanation:

7(5)=45

3 0

3 years ago

Need some help with this question-<br> look at image for details :]

postnew [5]

Bottom right corner box is the answer.

5 0

3 years ago

1/4 + 7/8 = ?<br> 2/3<br> 5/8<br> 1 1/8<br> 13/4

Marta_Voda [28]

Answer:

c

Step-by-step explanation:

1/4 + 7/8 =

2/8 + 7/8 Convert the 1/4 to the denominator as 8 so we can add the top number.

9/8 Add the top number.

1 1/8 Simplifly the result.

4 0

3 years ago

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