A geostationary satellite orbits 35800km above Earth. Answer these: a) Sketch Earth and the satellite's path.
b) Distance an equatorial observer travels in a day?
c) Distance the satellite travels in a day to stay stationary?
d) Speed difference between the satellite and the observer? Use Velocity=timedistance.
Classify the following matter types: hot coffee, salt water, aluminum, gold, orange juice with pulp, magnesium, carbon dioxide, air, sugar, toluene, soil.
Mary bought a \$30,000 boat with a \$2,000 down payment. What happened to her assets and liabilities? A) Both decreased B) Both increased C) Assets decreased, liabilities increased D) Assets increased, liabilities decreased. Choose the best answer.
Find possible lengths for a garden with 80 ft of fencing, area > 400 sq ft and < 600 sq ft. Options are:
(0,10)∪(30,40),
(20−102,20+102),
(0,20−102)∪(20+102,40),
(20−102,10)∪(30,20+102).
Given triangles with AB=20, DE=15, and BC=k. Are they similar? Find FE in terms of k, and if FE=12, what is k? Explain angle congruence and similarity differences.
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TANAPCALCBR10 4.4.010.MI.
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PRACTICE ANOTHER Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)
g(x)=−x2+4x+7
maximum □
minimum □
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9. The graph of f(x)=axn+bx4+cx3+dx2+ex+p is shown below. Determine whether each of the following statements is true or false. ① a>0
② n is an odd number.
③ p=0
④ n≥6
⑤ x=0 has a multiplicity of 2
⑥ y→∞ as x→−∞
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. f(x)=4−5x+2x2−5x3
Falls to the left, falls to the right
Rises to the left, rises to the right
Rises to the left, falls to the right
Falls to the left, rises to the right
Falls to the left
13. In a certain investigation, 460 persons were involved in the study, and based on an inquiry on their age, it was known that 75% of them were 22 or more years. The following frequency distribution shows the age composition of the persons under study.
\begin{tabular}{|l|c|c|c|c|c|c|c|c|}
\hline Mid age in years & 13 & 18 & 23 & 28 & 33 & 38 & 43 & 48 \\
\hline No. of persons & 24 & f1 & 90 & 122 & f2 & 56 & 20 & 33 \\
\hline
\end{tabular}
(a) Find the value of f1 and f2
(c) Find the value of the 3rd quartile. monls to svit yne svī ?abondsm
Question: 1. Using the data provided in the table, calculate the net cash flow from operating activities for Baker Corporation in 2015. 2. If Baker Corporation reduces its inventory by an addition $50,000, how will this change impact the operating cash flow? 3. Based on the information in the investment activities section, determine the total cash flow impact of the investment in fixed assets. 4. If the company increases its dividend payments by $20,00 calculate the new net cash flow from financing activities. Considering the changes in inventory reduction a dividend payments mentioned above, compute the adjust .total net cash flow for Baker Corporati Cash flow from operating activities
Net profits after taxes
\$180 Depreciation
100 Decrease in accounts receivable
100 Decrease in inventories
300 Increase in accounts payable
200 Decrease in accruals
(100)4 Cash provided by operating activities
\$780 Cash flow from investment activities
Increase in gross fixed assets
(\$300) Changes in equity investments in other firms
0 Cash provided by investment activities
(\$300) Cash flow from financing activities
Decrease in notes payable
(\$100) Increase in long-term debt
200 Changes in stockholders' equity b
0 Dividends paid
( 80 ) Cash provided by financing activities
$20 Net increase in cash and marketable securities
$500a As is customary, parentheses are used to denote a negative number, which in this case is a cash outflow.
b Retained earnings are excluded here because their change is actually reflected in the combination of the "Net profits after taxes" and "Dividends paid" entries.
Points: 0 of 1
Save Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative extrema occur. Do not sketch the graph.
y=−3x3−2x2+12x−3
(a) For which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The function is increasing on (−6,2).
(Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never increasing.
(b) For which interval(s) is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The function is decreasing on □ .
(Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never decreasing.
6. Grundwissen: Eine Vogelfeder schwebt mit konstanter Geschwindigkeit nach unten. Welche Kräfte wirken hier auf die Feder? Kurze Begründung. Ich wünsche dir viel Erfolg und eine frohe Weihnachtszeit! Gr
In Exercises 15-20, write a rule for g and then graph each function. Describe the graph of g as a transformation of the graph of f. Example 3 15. f(x)=x4+1,g(x)=f(x+2) 16. f(x)=x6−3x3+2,g(x)=f(x)−3
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7.The image shows quadrilateral ABCD.
a. A square is a quadrilateral with four equal sides and four 90 -degree angles. Is quadrilateral ABCD a square? Explain or show your reasoning.
b. Find the perimeter of ABCD. Explain or show your reasoning.
c. Find the area of ABCD. Explain or show your reasoning.
Sample Response: Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 time 60 to find how far the car travels in one hour.
Which facts did you include in your answer? Check all that apply.
The unit rate is 0.75 miles per minute.
There are 60 minutes in an hour.
You can multiply 0.75 by 60 to find how far the car travels in one hour.
Exercice 1(6pts) 1. Soit f l'application de l'ensemble {1,2,3,4} dans lui-même définie par:
⎩⎨⎧f(1)=3f(2)=0f(3)=1f(4)=4
a) Déterminer f−1(A) lorsque A={2},A={1,4},A={3}.
b) f est-elle injective ?surjective?bijective? 2. Soit f l'application de R dans R définie par f(x)=x2
a) Déterminer f(A) lorsque A={2},A={−2}. Que peut-on conclur?
b) Déterminer f−1(A) lorsque A={4},A=[1,4].
8. What can be said about the validity of the p-value computed in a t-test when the normal probability plot clearly does not support the assumption of normality? If the normal probability plot shows that the normality assumptions isn't met, the p-value from t-test is invalid, we can not trust it to accurately reflect the probability of observing our results if there's no real difference between the groups.
f(x)={−2x+321x−2si x<2si x≥2 1. f est-elle continue sur R? 2. f est dérivable sur R? Exercice 2 (8 pts) : Partie A : Étude d'une fonction auxiliaire
Soit g la fonction définie sur R par g(x)=(x+2)ex−4−2 1. Déterminer la limite de g en +∞. 2. Démontrer que la limite de g en −∞ vaut −2. 3. On admet que la fonction g est dérivable sur R et on note g′ sa dérivée.
Calculer g′(x) pour tout réel x puis dresser le tableau de variations de g. 4. Démontrer que l'équation g(x)=0 admet une unique solution α sur R. 5. En déduire le signe de la fonction g sur R. 6. À l'aide de la calculatrice, donner un encadrement d'amplitude 10−3 de α. Partie B : Étude de la fonction
Soit f la fonction définie sur R par f(x)=x2−x2ex−4 1. Résoudre l'équation f(x)=0 sur R. 2. On admet que la fonction f est dérivable sur R et on note f′ sa fonction dérivée.
Montrer que, pour tout réel x, f′(x)=−xg(x) où la fonction g est celle définie à la partie A. 3. Étudier les variations de la fonction f sur R. 4. Démontrer que le maximum de la fonction f sur [0;+∞[ est égal à α+2α3.
Determining Concavity In Exercises 5-16, determine the open intervals on which the graph of the function is concave upward or concave downward. 5. f(x)=x2−4x+8 6. g(x)=3x2−x3 7. f(x)=x4−3x3 8. h(x)=x5−5x+2 9. f(x)=x2+1224 10. f(x)=3x2+12x2
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes this proportion:
64=1624 Explain the error in the student's work
144y2−x2=1 Graph the hyperbola. Choose the correct graph below. The foci is/are at the point(s) □.
(Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The equation of the asymptote with the positive slope is □. The equation of the asymptote with the negative slope is □.
(Simplify your answers. Use integers or fractions for any numbers in the equation.)
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 20. Complete parts (a) through (c) below.
c. Is a result of 18 peas with green pods a result that is significantly high? Why or why not? The result □ significantly high because 18 peas with green pods is □□ peas.
Answer the following questions for the graph of y=5logx.
A. What is the x -intercept? Write in point form. Write DNE if the point does not exist.
□
B. What is the y-intercept? Write in point form. Write DNE if the point does not exist.
□
C. Draw the graph. There is a large margin for error for the graph. You just need the general shape of the graph.
4. An appropriate fiscal policy (سياسة حكومية مناسبة) for severe demand-pull inflation is:
A. An increase in government spending.
B. Depreciation of the dollar.
C. A reduction in interest rates.
D. A tax rate increase.
The following statement applies to questions 4 and 5.
Figure 1 shows four positions (1, 2, 3, 4) of a ball at equal intervals of time
(Δt=t4−t3=t3−t2=t2−t1) after the ball was tossed vertically upward. Ignore air
resistance. Use upward as the positive direction. Fill in the circle that corresponds to
your answer for each question. 4. [5 pts] The velocity at position 3 is _______ than the velocity at position 2.
less than
equal to
greater than 5. [5 pts] The acceleration at position 3 is _______ than the acceleration at position 1.
less than
equal to
greater than Figure 1
Question 28 (1 point)
Does the following statement demonstrate inductive reasoning or deductive
reasoning? For the pattern 4, 13, 22, 31, 40, the next term is 49.
Which of the following statements is FALSE?
Area under the curve y=f(x) can be equal to 0 .
∫abf(x)dx could be positive or negative if f(x)>0 between x=a and x=b.
∫010f(x)dx could be positive, negative, or zero depending on what the function is.
The area between the x-axis and a function is always non-negative.
1. Drag and drop the correct domain and range for each of the graphs below:
A.
B.
C.
D.
Domain: 1
Range: 2
Domain: 3
Range: 4
Domain: 5
Range: 6
Domain: 7
Range: 8
rroportions
Assignment
Active Interpreting a Proportion A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to inclur and 6 potatoes. Given that the proportion 31=62 represents the situation, which of these statements are true? Check all that apply.
The numerators represent the number of potatoes.
The numerators represent the pounds of beef.
The denominators represent the pounds of beef.
The denominators represent the number of potatoes.
2) Determine how much of the total loan payment applies toward principal and how much applies
toward interest for a student loan of \$38,156 at a fixed APR of 8\% for 11 years.
A) \$38,156 pays off the principal and \$19,321.94 represents interest payments.
B) \$38,156 pays off the principal and \$19,398.46 represents interest payments.
C) \$38,156 pays off the principal and \$19,362.76 represents interest payments.
D) \$38,156 pays off the principal and \$19,338.95 represents interest payments.
2. Determine the phase shift and the vertical displacement with respect to y=cosx for each function. Sketch a graph of each function.
a) y=cos(x−30∘)+12
b) y=cos(x−3π)
c) y=cos(x+65π)+16
d) y=4cos(x+15∘)+3
e) y=4cos(x−π)+4
f) y=3cos(2x−6π)+7
Consider a U.S. economy consisting of 4 sectors: (1) Textiles, (2) Apparel, (3) Farms, and (4) Wholesale Trade. The following (I−A)−1 matrix was computed from an input-output table for this economy:
(I−A)−1=⎣⎡1.21970.01340.08750.00500.17231.0700.01230.00070.000601.2047−0.00340.00380.00110.00221.0413⎦⎤ What is the interpretation of the 3,2 -entry of (I−A)−1 ?
a. It takes $0.0123 worth of goods from the Farms sector to produce $1 worth of Apparel sector goods.
b. The Farms sector must increase production by $0.0123 in order to meet a $1 increase in demand in the Apparel sector.
c. The Apparel sector must increase production by $0 in order to meet a $1 increase in demand in the Farms sector.
d. It takes $0 worth of goods from the Apparel sector to produce $1 worth of the Farms sector goods.
f(x)=c−x What do all members of the family of linear functions f(x)=c−x have in common? All members of the family of linear functions f(x)=c−x have graphs that are lines with slope \_\_\_\_\_\_\_\_\_\_\_\_ and y-intercept \_\_\_\_\_\_\_\_\_\_\_\_. Sketch several members of the family. c=2c=1c=0c=−1c=−2 c=2c=1c=0c=−1c=−2 c=2c=1c=0c=−1c=−2 c=−2c=−1c=0c=1c=2
Consider the following function.
f(x)=4x2−3 Step 1 of 2: Graph the original function by indicating how the more basic function has been shifted, reflected, stretched, or compressed.
f(x)=x2ex−5 Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. There are no relative minima. The function has a relative maximum of at x=.
(Use a comma to separate answers as needed. Type exact answers in terms of e.) B. The function has a relative maximum of at x= and a relative minimum of at x=.
(Use a comma to separate answers as needed. Type exact answers in terms of e.) C. There are no relative maxima. The function has a relative minimum of at x=.
(Use a comma to separate answers as needed. Type exact answers in terms of e.) D. There are no relative extrema.
Consider the following rational function.
f(x)=x−5−2
Step 1 of 3: Find equations for the vertical asymptotes, if any, for the function.
Answer (opens in new window) 2 Points
Separate multiple equations with a comma.
Selecting a button will replace the entered answer value. The value of the button is used instead of the value in the
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