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2 years ago

Forty of Dan's 50 answers were correct, what percent of Dan's answers were correct?

Mathematics

2 answers:

luda_lava [24]2 years ago

8 0

Answer:

80%

Step-by-step explanation:

As a fraction this would be:

40/50

We could do some mental mathematics and work out what 40÷50 is and then ×100 to get a percentage.

Or we can just double the fraction to make the denominator 100:

40/50×2/2

80/100

Now we multiply this by 100 (basically remove the denominator):

80%

Allushta [10]2 years ago

4 0

Answer: 80%

Step-by-step explanation:

40/50 = 80/100 = .8 then move decimal over 2 places to the right for percent. .8 to 8.0 to 80.0

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

zloy xaker [14]

Answer:

$k=0$

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

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

Step-by-step explanation:

We are given the function:

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

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

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

Simplify:

$1= e^k$

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

$k=0$

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

Likewise, this means that h(x) = 40 when x = 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:

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

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

Again, this meas that h(x) = 10 when x = 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

Let f(x) = -4x + 7 and g(x) = 10x - 6 find f(g(x))

max2010maxim [7]

F(x) = -4x + 7
g(x) = 10x - 6

f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31

7 0

2 years ago

Read 2 more answers

Sara is getting ready for work. She has black pants, blue pants, grey pants, a red shirt, a green shirt, a white shirt, a blue s

Nady [450]

Answer:

3 pants

3 shirts

2 sweaters

just multiply 3x3x2= 18 combinations

7 0

2 years ago

A.)12 B.) 25 C.)51 D.) 77

givi [52]

Answer:

4x+3=2x+27

4x-2x=27-3

2x=24

x=24/2

x=12

3 0

1 year ago

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The standard form of the equation through the points (0,5) and (-2, -1) is?

In-s [12.5K]

Answer: y = 3x + 5

Look at graph:

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2 years ago

Forty of Dan's 50 answers were correct, what percent of Dan's answers were correct?​

Forty of Dan's 50 answers were correct, what percent of Dan's answers were correct?