Question
Pat 1 of 2
Completed: 6 of 11
My score: 6/11 pts (54.55\%)
Save Use the figures to calculate the left and right Riemann sums for f on the given interval and for the given value of n.
f(x)=x2 on [1,5];n=4 The left Riemann sum for f is □ . (Simplify your answer.)
1 Recall that for any geometric sequence starting at a with a common ratio r, the sum s of the first n terms is given by s=a1−r1−rn. Find the approximate sum of the first 50 terms of each sequence: Type your answers in the boxes. 1. 21,41,81,161,….s=1 2. 1,21,41,81,161,…s=2
Determine whether the given numbers are solutions of the inequality.
8,−20,−13, −3y−9>2y−2 Is 8 a solution?
Yes
No Is -20 a solution?
No
Yes Is - 13 a solution?
No
Yes Is -3 a solution?
No
Yes
Solve using the addition and multiplication principles.
6−4x≤1−3x Select the correct choice below and fill in the answer box within your choice.
(Simplify your answer.)
A. The solution set is {x∣x⟩□ \}.
B. The solution set is {x∣x<□ \}.
C. The solution set is {x∣x≤□ \}.
D. The solution set is {x∣x≥□ \}.
f(x)=∣x∣g(x)=∣x+2∣+4 We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers. To get the function g, shift f□□ units and to the □ left by □ units.
A small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=7000(4)−0.12t
where t is the number of years that have elapsed since the machine was purchased, and V(t) is in dollars. Use this information to answer parts (a)-(d).
(a) What was the original value of the machine? The original value was $7000. (Round to the nearest dollar as needed.)
(b) What is the value of the machine 5 yr after purchase, to the nearest dollar? The value of the machine 5 yr after purchase is approximately. $3047.
(Round to the nearest dollar as needed.)
(c) What is the value of the machine 10 yr after purchase, to the nearest dollar? The value of the machine 10 yr after purchase is approximately $□
(Round to the nearest dollar as needed.)
2. The equation of a circle is x2+y2=121. Determine the radius.
a. 10 units
b. 12.1 units
c. 11 units
d. 22 units 3. Which point is on the circle with equation x2+v2=26?
Monthly mortgage payment=($5.22)(170)=$887.40
\text{(Type an integer or a decimal.)} \text{To find the total mortgage payment, first determine the number of months.} \text{The number of months is } \square \text{ (Type a whole number.)}
Hallar la pendiente y la intersección con el eje y de la recta.
−8x+4y=−12 Escribir sus respuestas en su forma más simple.
pendiente: □ ㅁ
Indefinido
intersecclón con el eje y : □
Name:
Date: November -25
Page 2 of 2 5. A store uses the equation C=7.50+1.75w to calculate the cost C (in dollars) to ship merchandise that weighs w pounds.
a. Find the cost of mailing a 5 pound package. Show your work.
b. It costs Manny $21.50 to ship a package. How much does this package weigh? Show your work.
2. Flächeninhalt Die Funktion f(x)=(x−1)⋅ex(s. Bild oben) beschreibt den Verlauf eines Flusses, der von zwei Straßen überbrückt wird, die längs der Koordinatenachsen laufen. (1 LE = 1 km ) Die beiden Straßen und der Fluss schließen im 4. Quadranten ein Grundstück A ein, welches für 80€ pro m2 zum Kauf angeboten wird.
a) Zeigen Sie, dass F(x)=(x−2)⋅ex eine Stammfunktion von f ist.
Solve the rational inequality.
x2−93x−20≥0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is □□.
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
B. There are no real solutions.
Unit 4: Trigonometric Functions Activity 8: Trigonometric Identities Assignment
Prove each of the following trigonometric identities. 1. sinxsin2x+cosxcos2x=cosx 2. cotx=sinxsin(2π−x)+cos2xcotx 3. 2csc2x=secxcscx