Solve for x and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( ∅ ), leave the number line blank.
3x−2≤−26 and 3x−2<31
For the given functions, f(x)=x2+3 and g(x)=5x−3, find the indicated composition. Write your answer by filling-in the blanks. a. (f∘g)(x)= b. (f∘g)(4)= Moving to another question will save this response. Question 21 of 23
A kite flying in the air has an 86-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 53∘. Find the height of the kite. Round your answer to the nearest tenth.
86
53∘
ft
Solve for x and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( ∅ ), leave the number line blank.
2x+10≥30 or 2x+10>34
1. Teagan had 4 tridesmaids at her wedding. Kristen had twice that many. THow many tridesmaids did Kristen have? 2. One mom took 3 bottles on a trip for her baby to drink. The other mom took 4 times that many. How many bottles did the 2 nd mom pack? 3. The nicest math teacher gave out 3 pages of math homework for the week. The other math teacher gave out 3 times that many pages. How many math pages did the tougher teacher give to the class? 4. Mr. Machad 7 coins in his pocket to use at the vending machines. Mrs. Mac had 7 times that many. How many coins did Mrs. Mac have to use? 5. Jerome had 6 cookies. His dad had 7 times that many. How many cookies did Jerome's dad have? 6. The ice cream shop had 7 dirty ice cream bowls and 63 clean ones. How many times more clean bowls did they have than dirty ones?
(c) Teachin
B) Il parallelogramma ABCD ha il vertice A in (1;1) il punto d'incontro delle diagonali P in (4;3), il vertice B appartiene all'asse x e alla retta di equazione x−2y+2=0
1)Si determinino le coordinate dei vertici B, C e D (1 punto)
2)Si calcolino perimetro ed area del parallelogramma ABCD (1 punto)
C) Dati i punti A(−2;1), B(1;−1), D(2;7), e la retta r di equazione 2x−y−7=0
1)Si determini la misura dell'angolo DAB (1 punto)
2)Si determinino le coordinate del punto C appartenente a r tale che i segmenti BC e AD siano paralleli (1 punto)
3)Si determini l'area del quadrilatero ABCD (1 punto)
Divide using long division.
x−43x4+3x3+3x−5
Enter the quotient (without the remainder). Quotient: Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0. Remainder:
Return the question paper and blue book at the
(b) Approximate ∫00.41+x of f(x)=ln(3−x) at a=0 and its radius of convergence.
x4dx correct to 5 decimal places.
the series 1+π+2!π2+3!π3+4!π4+…
the curve x=3cost−cos3t,y=3sint−sin3t,0≤t≤3π/2.
gion bounded by y=2−x2 and y=x. 6. Evaluate the integral or show that it is divergent.
(a) ∫2∞xlnxdx
(b) ∫−∞∞4x2+4x+5dx 7. A force of 6x−2 newtons moves an object along a straight line when it is x meters from the origin. Calculate the work done in moving the object from x=4m to x=8m. 8. Fine the area of the surface obtained by rotating y=5−x about the x-axis for 3≤x≤5. 9. Find the volume generated by y=ex,y=e−x,x=1, about the y-axis. Hint: It may be easier to use the method of cylindrical shells, but you are free to use other methods, provided that you clearly show your work.
Find all values of m for which the equation has two complex (non-real) solutions. 4v+(m+3)=−5v2 Write your answer starting with m, followed by an equals sign or inequality symbol (for example, m<5). Reduce all fractions.
Name: 1. (8 points) The function f(x)=A2x/0 is shown below:
f(O)=A2O/CAA1∘A.12=A⋅112=A2=A⋅2(0,c) frome 4=2⋅2(3/c)21=212=∑22=2log2(2)=log21c⋅11=63⋅1c1c=13c=3 Answer each question below. You do not need to show your work.
(a) (2 points) What is the value of A ?
(A) -1
(B) 0
(C) 1
(15) 2
(E) 3
(b) (2 points) What is the value of c ?
(A) -1
(B) 0
(C) 1
(D) 2
(c) (2 points) Evaluate f(6).
(A) 6
(B) 7
(D) 9
(E) 10
d) (2 points) Evaluate f−1(16).
(A) 6
(B) 7
(C) 8
(E) 10
What does the law of cosines reduce to when dealing with a right triangle?
A. The Pythagorean theorem
B. The formula for a triangle's area
C. The formula for a triangle's area
D. The law of sines
8. Yoko buys a pen for $1.19 and
2 paperback books. Each book costs
$5.95. She gives the clerk a 20-dollar
bill and receives $7.91 in change. Does
she receive the correct amount of
change? Justify your answer.
(3) Solve the problem. Show your work. Keenan catches a fish that weighs 5.6 pounds. Jesse catches a fish that weighs 3.4 pounds. What is the difference between the weights of the two fish? Solution
Check your answer. Show your work.
Question 6 of 6 (1 point) I Question Attempt: 1 of Unlimited
Salma
✓1✓2✓3✓4✓5
6
Español Unhealthy Days in Cities The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Construct an 89% confidence interval based on the data. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
39321016292401
Send data to Excel
□<μ<□
2 problem 4
HC is not a side of the hexagon. Regular heragon ABCDEF is inscribed in a circle with center H.
a. What is the image of segmert BC after a 120 -degree clockwise rotation about point H ? Type the answer in the box below.
segment □ b. What is the image of segment BC atter a reflection over line FC? Type the answer in the box below.
Secment DC
7.5.IP-11
Caitlyn is tiling her kitchen wall with two types of traditional hand-painted Mexican tiles. If she uses 58 flower tiles, how many sun tiles does she need to maintain the pattern? Flower Tiles | Sun Tiles
---|---
30 | 15
38 | 19
42 | 21
58 | ? She needs sun tiles to maintain the pattern.
(Type a whole number.)
Enter your answer in the answer box and then click Check Answer.
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11 Jalisa buys candles in bulk to sell in her
store. Her cost for each candle is $9. She
marks up the candles 85%. How much does
Jalisa charge per candle?
5. Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. If they charge a $10 service fee plus $38 per hour, and he can spend at most $200, how many hours can he rent the canoe?
Paul has(2)bags of Skittles Each bag contains (84) Skittles. If Paul eats (38) Skittles and gives (29) Skittles to each of his two friends, how many Skitiles does Paul have left?
7. Kathy runs 3.25 miles every Monday,
2.75 miles every Wednesday, and 3.5 miles
every Friday. Last month she ran 5.5 miles
and 6.25 miles on two Saturdays. How
many miles did she run last month if there
were 4 Mondays, 5 Wednesdays, and
5 Fridays?
Natasha needs to save \$479.58 for a
vacation. She has saved \$149.88, and
earns \$7.85 an hour helping at the
playground. How many hours must she
work to meet her goal?
Challenge: A 3 kg model airplane is traveling at a speed of 33 m/s. The operator then increases the speed up to 45 m/s in 2 seconds. How much force did the engine need in order to make this change?
Find the equation of the line that contains the point (−2,−1) and is perpendicular to the line 2x+3y=9. Write the line in slope-intercept form, if possible. Graph the lines. Select the correct choice below and fill in the answer box to complete your choice.
A. The equation of the perpendicular line in slope-intercept form is □□. (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
B. The equation of the perpendicular line cannot be written in slope-intercept form. The equation of the perpendicular line is □□.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
A 6-foot-3 person standing near a tree casts a 5-foot-long shadow. The tree casts a shadow that is 18 feet long. What is the height of the tree? Round to the nearest hundredth if necessary.
According to the graph, what is the value of the constant in the equation
below? Height = Constant ⋅ Width (1, 1.5)
(2, 3)
(4, 6)
(6, 9) A. 0.667
B. 1.5
C. 3
D. 2
A person is standing 150 feet from the base of a statue. If the statue is sitting on the ground and is 21 feet tall, what is the angle of elevation from the person's eye to the top of the statue? Assume the person's eye-level is 5.5 feet above the ground.
5.9°
7.3°
6.2°
8.0°
A)1−21x2−31x3B)1−21x2−34x3C)1−21x2+32x3D)1−21x2−31x3E)1−21x+32x2 6. Déterminez les trois premiers termes non nuls de la série de Maclaurin de (1−x)ex.
The 100-kg industrial door with mass center at G is being positioned for repair by insertion of the 5∘ wedge under corner B. Horizontal movement is prevented by the small ledge at the corner A. If the coefficient of static friction at the both the top and bottom wedge surfaces are 0.6, determine the force P required to lift the door at B.
1.2 m
1 m
Verify that the origin is a regular singularity of each of the equations 2−6 and that the roots of the indicial equation (40.38) do not differ by an integer. Find, by the method of Frobenius, two independent solutions of each equation and intervals of convergence. 2. x2y′′+x(x+21)y′+xy=0.
Find the total area of the shaded region shown to the right given by the curve
y=4(sinx)1+cosx. The total area of the shaded region is ______. (Type an exact answer.)
Read the text. Mayors and governors are both elected to lead their communities. A mayor is in charge of
running a city or town. A governor, on the other hand, is the head of an entire state's
government. There are more mayors than governors. There are fifty governors, one for
each state. However, there are thousands of towns and thousands of mayors in the
United States. As a rule, a governor has more power than a mayor. Which text structure does the text use? problem-solution compare-contrast Submit Work it out
Find the distance between the pair of points.
(3,4) and (9,12) The distance between the points is ______ units.
(Round to two decimal places as needed.)
Blanca has 32 marbles. She wants to put her marbles into bags so each bag has the same number of marbles and no marbles are left over. Use what you know about factor pairs to complete the table. Number of Bags Marbles per bag 1 □□ 16 4 □
A certain number of gallons of 25% acid solution is to be mixed with a certain number of gallons of 15% acid solution to make 10 gallons of 18% acid solution. How many gallons of 25% solution, x, and how many gallons of 15% solution, y, are needed to make the 10 gallons of 18% acid solution?
At a certain college, it is estimated that at most 32% of the students ride bicycles to class. Does this seem to be a valid estimate if, in a random sample of 98 college students, 39 are found to ride bicycles to class? Use a 0.01 level of significance.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table. Let a success be a student that rides a bicycle to class. Identify the null and alternative hypotheses.
A. H0: p=0.32H1: p<0.32 B. H0: p=0.32H1: p=0.32 C. H0: p>0.32H1: p=0.32 D. H0: p<0.32H1: p=0.32 E. H0: p=0.32H1: p=0.32 F. H0: p=0.32H1: p>0.32 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. z<
B. z< or z>
C. z>2.33 Find the test statistic.
z= (Round to two decimal places as needed.)
A real estate agent has $587 to spend on newspaper ads. If each ad costs $8, about how
many ads will the real estate agent be able to buy? Choose the better estimate.
100
70
18. Use Structure Teresa placed parentheses in the expression below so that its value was greater than 80 . Write the expression to show where Teresa might have placed the parentheses.
10.5+9.5×3−1×2.5
Question 17
2 pts The success/failure condition for a confidence interval for proportions requires there to be:
at most 10 success and at most 10 failures
at least 10 success and at least 10 failures
Jackie, Morgan, Kyle, and Chung ran the 100-meter
dash. Jackie finished in 17.6 sec., Morgan finished
in 17.06 sec., Kyle finished in 17.66 sec., and Chung
finished in 17.066 sec. Which of them finished in
the least amount of time? A. Jackie
B. Morgan
C. Kyle
D. Chung
Kareem has 216 role-playing game cards. His goal is to collect all 15 sets of cards. There are 72 cards in a set. How many more cards does Kareem need to reach his goal?
Use the graph, showing the results of a survey of the hours of sleep a group of Americans gets each night, to determine the truth value of each simple statement in the following compound statement. Then determine the truth value of the compound statement.
Four percent of Americans get 4 or fewer hours of sleep each night or 32% get 8 or more hours of sleep each night, and 30% get 6 or more hours of sleep each night. The truth value of the simple statement "Four percent of Americans get 4 or fewer hours of sleep each night" is
Chapter 13 Review
The picture graph below shows how many students in a survey like to read each kind of book. (DOK 2) Each □ is equal to 2 students. 1. How many chose Biography as their favorite type of book to read? 2. How many chose Arts \& Crafts as their favorite type of book to read? 3. How many more chose to read Family Fiction over Science Fiction? 4. How many answered the survey in all?
Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth. 1 unit
□ units
Calculate the distance between the points L=(−3,−1) and K=(5,−7) in the coordinate plane.
Give an exact answer (not a decimal approximation). Distance: □ □□□
14. In 2018, the state sales tax in Maine was 5.5%, or 0.055 . in Florida was 6%, or 0.06 . How much greater was the sales tax in Florida than in Maine?