Twenty-five percent of the students at Marcus Garvey Middle School bring their lunches from home. 225 students do not bring their lunch. How many students attend the school? Draw and label a diagram to show the number and percent of each group of students. Homework Help a
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The carbon skeleton formula (also called a line formula) shows the carbon-carbon bonds only as lines. Each end or bend of a line represents a carbon atom bonded to as many hydrogen atoms as necessary to form a total of four bonds. Carbon skeleton formulas allow us to draw complex structures quickly. Section 22.3 of your text. The functional group circled is a(n) _______. ANSWER
carboxylic acid
ester
aldehyde
ketone
I DON'T KNOW YET
n make on paper.)
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Show Examples If the expression 4x−3y−1xy5 is written in the form axbyc, then what is the product of a,b and c ? Answer Attempt 1 out of 2
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Show Examples If f(x) is an exponential function of the form of y=abx where f(5)=5 and f(14)=35, then find the value of f(18), to the nearest hundredth. Answer Attempt 2 out of 2
27.74
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Determine the indefinite integral ∫−6x2e4x3+5dx by substitution. (It is recommended that you check your result rentiation.) Use capital C for the free constant. Answer: □ Hint: Follow Example 7.
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Show Examples If f(x) is an exponential function of the form of y=abx where f(−4.5)=20 and f(1.5)=11, then find the value of f(−4), to the nearest hundredth. Answer Attempt 2 out of 2
16.35
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A variable x is normally distributed with mean 25 and standard deviation 3. Round your answers to the nearest hundredth as needed.
a) Determine the z-score for x=28.
z=□
b) Determine the z-score for x=20.
z=□
c) What value of x has a z-score of 1.33 ?
x=□
d) What value of x has a z-score of 0.3 ?
x=□
e) What value of x has a z-score of 0 ?
x=□
lomework: Practice Final Exam - Homework
Question 32,4.5.27
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question 31 Question 32 Question 33 Determine the oblique asymptote of the graph of the function.
g(x)=x+3x2+5x−2 The equation of the oblique asymptote is □ .
The lengths of mature trout in a local lake are approximately normally distributed with a mean of μ=13.7 inches, and a standard deviation of σ=1.6 inches. Fill in the indicated boxes. Find the z -score corresponding to a fish that is 13.3 inches long. Round your answer to the nearest hundredth as needed.
z=□
How long is a fish that has a z -score of 0.2 ? Round your answer to the nearest tenth as needed.
□ inches
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You are given that cos(A)=−53, with A in Quadrant II, and cos(B)=178, with B in Quadrant I. Find cos(A−B). Give your answer as a fraction.
Provide your answer below:
Starting with the graph of f(x)=2x, write the equation of the graph that results from
a. shifting f(x) 7 units left.
y=
b. shifting f(x) 2 units upward.
y=
c. reflecting f(x) about the y-axis.
y=
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For number 10 and 11 graph the function and identify the domain and range.
10) f(x)=x−3
11) g(x)=x+4 For number 12-13 solve the equation and check your answer.
12) 335x+6=18
A rocket starts from rest with mass m0 and burns fuel at rate k. Find v(t) from m=m0−kt and mdtdv=ck−mg. (a) v(t)=m/sec (b) If fuel is 80% of m0 and lasts 110s, find v(110) with g=9.8m/s2 and c=2500m/s. v(110)=m/sec [Round to nearest whole number]
Compare production alternatives B and D. Which statements are true: 1. More current consumption, 2. Less future consumption, 3. More future growth, 4. Less future growth?