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OLga [1]
2 years ago
7

Sarai has decided to take a risk. She's been saving money and now she's ready to invest in stocks. Most of her stocks give her a

great return, but one–Bambi's Beach Bonnets–is a mixed story. The value of her shares in Bambi's Beach Bonnets over timem is modeled by the function v(t) = −2x 2 + 22x + 280, where v represents the value of her investment and t represents time in weeks. (a) What key feature of the function tells us when her investment was worth the most?
Mathematics
1 answer:
Rus_ich [418]2 years ago
3 0

Answer: vertex of the parabola

Step-by-step explanation:

v(t) = −2x²+ 22x + 280

v = value of her investment

t = time in weeks.

(a) What key feature of the function tells us when her investment was worth the most?

worth the most = highest value, so at the vertex of the parabola.

xvertex = -b/2a

yvertex = -Δ/4a

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The average lethal blood concentration of morphine is estimated to be 2.5 µg/mL with a standard deviation of 0.95 µg/mL. The dat
dmitriy555 [2]

Answer:

The probability associated with the range lethal morphine blood levels is 0.9902.

Step-by-step explanation:

Let <em>X</em> = lethal blood concentration of morphine.

The random variable <em>X</em> is normally distributed with parameter <em>μ</em> = 2.5 μg/ mL and <em>σ</em> = 0.95 μg/ mL.

Compute the probability of <em>X</em> within the range 0.05 to 4.95 μg/ mL as follows:

P(0.05

*Use a <em>z</em>-table for the probability.

Thus, the probability associated with the range lethal morphine blood levels is 0.9902.

5 0
2 years ago
2 sandwiches and 3 croissants costs £11.
valentina_108 [34]

Answer:

The price of a sandwich is £2.5 and the price of a croissant is £2

Step-by-step explanation:

Let s be the number of sandwiches and c be the number of croissants

Then according to given statements the equations will be:

2s+3c = 11\ \ \ \ \ \ \ Eqn\ 1\\3s+6c =19.50\ \ \ Eqn\ 2

Multiplying equation 1 by 2 and subtracting equation 2 from the new equation

2(2s+3c) = 11*2\\4s+6c = 22

Now

4s+6c-(3s+6c) = 22-19.50\\4s+6c-3s-6c = 2.5\\s = 2.5

Putting s=2.5 in equation 1

2(2.5)+3c = 11\\5+3c = 11\\3c = 11-5\\3c = 6\\\frac{3c}{3} = \frac{6}{3}\\c = 2

Hence,

The price of a sandwich is £2.5 and the price of a croissant is £2

5 0
1 year ago
confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin
yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

A(60,900),B(15,450)

Remember that

m_A_B=m_B_A

step 1

Find m_A_B

substitute in the formula

m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10

step 2

Find m_B_A

substitute in the formula

m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10

therefore

Ernest's calculation was correct, because m_A_B=m_B_A

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

m=\frac{800-300}{50-0}

m=\frac{500}{50}

m=10

therefore

Ernest's calculation was correct

8 0
2 years ago
A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of th
Evgen [1.6K]

Answer:

$91

Step-by-step explanation:

$96.00 - $5.00 = $91.00

4 0
2 years ago
Read 2 more answers
For f(x) = 4x + 1 and g(x) = x2 - 5, find (f - g)(x)
taurus [48]

Answer:

The value of  \frac{f}{g} (x) is \dfrac{4x + 1}{x^{2} -5 }

Step-by-step explanation:

Given as :

f(x) = 4 x + 1

g(x) = x² - 5

Let the value of \frac{f}{g} (x) = A

So, According to question

\frac{f}{g} (x)  = \dfrac{f(x)}{g(x)}

Or, A = \dfrac{4x + 1}{x^{2} -5 }

So, The value of  \frac{f}{g} (x) = A =  \dfrac{4x + 1}{x^{2} -5 }

Hence, The value of  \frac{f}{g} (x) is \dfrac{4x + 1}{x^{2} -5 } Answer

6 0
2 years ago
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