During the summer, Isabelle sells corn at her family's produce stand. Every morning, she starts with 250 ears of corn. On Saturday, Isabelle sells 150 of the 250 ears of corn.
She wants to know what percent of the corn she sold. Complete the table to show an equivalent ratio where the number of ears at the start is 100 .
\begin{tabular}{|c|c|c|}
\hline Corn Sold & 150 & \\
\hline Corn at Start & 250 & 100 \\
\hline
\end{tabular}
Question 13 (1 point)
On January 2, 2004, the TSX Composite Index was 8293.70. On January 2, 2009, the TSX Composite Index was 9234.11. By what factor did the index grow from January 2, 2004 to January 2, 2009?
A) 10.184
B) 11.339
C) 1.113
D) 0.898
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Use the properties of logarithms to expand the following expression.
log(3x46(x+5)2) Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log(3x46(x+5)2)=□log
Two points in a plane have polar coordinates (2.30m,40.0∘) and (3.70m,140.0∘).
(a) Determine the Cartesian coordinates of these points.
( 2.30m,40.0∘ ) x= (No Response) my= (No Response) m ( 3.70m,140.0∘ ) x= (No Response) my= (No Response) m
(b) Determine the distance between them.
(No Response) m
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Simplify.
1) x+967x
A) 42x(x+9)
B) 42x(x+9)
C) 42xx+9
D) 7(x+9)6x Simplify and reduce to lowest terms.
2) m−23m−m−26
A) m−23
B) 0
C) m−23(m+2)
D) 3
3) 14x8+14x3
A) 1114x
B) 28x11
C) 1
D) 14x11 Find the least common multiple.
4) x2−9,x+3
A) x2−9
C) x3−27
B) (x−3)(x+3)2
D) (x+3)(x2−9) Write the expression in lowest terms.
5) y2+2y−35y2−2y−15
A) −y2+2y−35y2−2y−15
B) y+7y+3
C) 2y−7−2y−3
D) 2y−35−2y−15 Use the verbal description to evaluate the function as indicated.
6) Multiply the input by 4 and add 7 to obtain the output. Find f(1).
A) -3
B) 11
C) -11
D) 3 Determine whether f might be a linear function.
7) \begin{tabular}{c|c|c|c|c}
x & 1 & 2 & 3 & 4 \\
\hlinef(x) & 7 & 13 & 19 & 25
\end{tabular}
A) Yes
B) No
olve the equation.
8) ∣r−1∣=6
A) No solution
B) -7
C) 5,7
D) −5,7
The volume of a cylinder is given by the formula V=πr2h, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder?
2πx3−12πx2−24πx+63π2πx3−5πx2−24πx+63π2πx3+7πx2−18πx−63π
3. The Leaning Tower of Pisa is expected to collapse if its angle of slant is less than 83∘. Use the measurements in the diagram to determine if the tower will collapse.
HW 14
Score: 0/9
Answered: 0/9 Question 1 You intend to conduct an ANOVA with 5 groups in which each group will have the same number of subjects: n=22. (This is referred to as a "balanced" single-factor ANOVA.) What are the degrees of freedom for the numerator?
d.f. (treatment) = □
What are the degrees of freedom for the denominator?
d.f. (error) = □
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The 'pitch' of a building's roof is the slope of the roof. What is the pitch of the roof if the vertical rise is 15 feet and the run is 25 feet ?
□
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Convert the improper fraction 319 to a mixed number. Simplify the fractional portion as much as possible.
319= whole number - □□ - numerator
- denominator
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crorms or
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Simplify the expression below in terms of p and q. Your final answer should contain no trigonometric functions and should be written as an expression in p and q solely.
sin(arcsin(p)+arccos(q))
Trigonometric Functions / The Unit Circle
Given the standard position angle θ=555∘, state the measure of the reference angle.
Your answer must be exact. Use Pi for π. How Did I Do?
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Multiply and simplify. Assume that all expressions under radicals represent positive real numbers.
5(r−10)25(r−10)18=t Write your answer using radical notation if necessary.
(a) Sketch θ=45π in standard position. Then sketch an angle between −2π and 0 that is coterminal with θ.
(b) Find the measure of the coterminal angle. Write your answer in terms of π. Your answer should be bet
□ radians
(a) Sketch θ=43π in standard position. Then sketch an angle between −2π and 0 that is coterminal with θ.
(b) Find the measure of the coterminal angle. Write your answer in terms of π. Your answer should b between −2π and 0 .
□
radians
1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate.
a) Calculate the probability that there is a plate with at least two muffins on it.
b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate.
c) Calculate the expected value of the number of muffins on the second plate.
1. Each bunch of balloons has 3 red balloons and 3 purple balloons.
a. Skip-count by threes to find the total number of balloons.
b. Complete the statements. 10 threes is ×3=
5 sixes is .
×6=
c. Use the pictures of balloons to help you complete the statement. 2 groups of 5× is the same as 5×
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Practice: Division Word Problems with Remainders - Practice - Level D Ms. Shaw's class is studying the life cycle of a fish. Ms. Shaw has 16 fish. Her fish tanks hold 3 fish each. How many fish tanks does Ms. Shaw completely fill? How many fish are left?
counters
16÷3 10 10
∵:8
C Ms. Shaw fills □ tanks. She has □ fish left.
1. 9 donuts and 3 muffins were laid out on 4 plates in such a way that there are three cakes on each plate.
a) Calculate the probability that there are three muffins on one of the plates.
b) Assume that it's not the case that there are three muffins on one plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, the three muffins will be on the same plate.
c) Calculate the expected value of the number of muffins on the first plate.
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Practice: Division Word Problems with Remainders - Quiz — Level D Lilia uses craft sticks to make stars for an art project. She uses 5 craft sticks for each star, and she has 19 craft sticks. Lilia makes as many stars as she can. How many stars does Lilia make?
19÷5
counters 10 10
∵:∵
C Lilia makes □ stars.
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Remember that you can use patterns, known facts, or skip counting to find products. In 1-8, use strategies to find the product. 1. 5×9= 2. 8×10= 3. 4×10= 4. 9×8= 5. 6×9= 6. 7×3= 7. 6×5= 8. 4×9=
A bakery received a shipment of 1,158 apples from a local orchard. It takes 7 apples to make a pie. How many apples will be left over after they make as many pies as possible?
2 - 6 th grade > Add, subtract, and multiply decimals: word problems 277 A pillow contains 9.27 ounces of stuffing. How many ounces would 18 of the pillows contain?
□ ounces
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A scuba diver finds a treasure chest in the ocean. When she opens it up, she discovers that it is filled with 3,567 gold coins and 1,793 silver coins. How many coins does the chest contain in all?
Let f be a continuous function on the interval [0,8]. If we use the Trapezoidal Rule with n=4 to approximate the integral
∫08f(x)dx
, which of the following is the required approximation? Select one:
(f(0)+f(2)+f(4)+f(6)+f(8))2(f(0)+2f(2)+2f(4)+2f(6)+f(8))21f(0)+2f(2)+2f(4)+2f(6)+f(8)f(0)+2f(1)+2f(2)+2f(3)+2f(4)+؛
5. The table below shows the delivery charge per mile for Polly's Pizzeria over the past 3 months.
\begin{tabular}{|c|c|c|}
\hline Month 1 & Month 2 & Month 3 \\
\hline$0.50 & $0.36 & $0.45 \\
\hline
\end{tabular} By how much did the delivery charge increase from Month 2 to Month 3?
A. 9%
B. 12%
C. 18%
D. 25%
E. 80% 6. Employees at Anderson Manufacturing receive a raise of 4.5% at the end of each year. An employee with an annual salary of $46,000.00 this year will have what annual salary next year?
F. \46,004.50G.\46,045.00
H. \48,070.00J.$56,682.00K.\64,722.00
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Dante wants to rent a car. He has narrowed his choices to a sedan, a compact, or an economy car. The colours available are black, red, or white. He may also choose between a standard and an automatic transmission. The number of options that Dante has is □
5.6: Geometry \& Unit 5
ALEKS - Jorge Mandujano - Lea
Measurement
Word problem involving the volume of a rectangular prism
Jorge A concrete foundation for a building has the shape of a rectangular prism. The foundation is 15 yards long, 10 yards wide, and 3 yards high. If concrete costs $3
Espantol
per cubic yard, how much did the concrete cost for the foundation?
\\square$
If 14 different types of fruit are available, how many different fruit salads could be made using exactly 5 types of fruit? Student 1→ Kevin used 5!14! to solve the problem.
Student 2→ Ron suggested using 14P5
Student 3→ Michelle solved the problem using 14C5
Student 4→ Jackie thought that 5 ! would give the correct answer.
Student 5→ Stan decided to use (514). The correct solution would be obtained by student number □ and student number .
□
Answers should be in ascending order
Match each radical expression to an equivalent expression. The expressions are not necessarily in simplest form.
✓(43)(89) 1. 9634x(324x11) 2. −73424+3638−943 3. −68343−91925420x5 4. −73424−43 5. 8x4(33x2) 6. 25x100x
Factor the trinomial, or state that the trinomial is prime.
y2−9y+14 Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. y2−9y+14=□
B. The polynomial is prime.
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DETAILS
MY NOTES
TGINTERALGH5 5.1.002. Fill in the blanks.
In the exponential expression xn,x is called the -- Select −⋯, and n is called the -- Select −Υ.
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