6 A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feer on the wall. Frod to the nearest degree, the angle the ladder makes with the wall. Round to the nearest whole number. Show all work for full credit.
□
4. SpongeBob wants to go to point D from point A on an island. He can swim to any point C on the beach. He can swim at 4km/hr and run at 5km/hr. (a) Find analytically the location of C between B and D that will take the least amount of time.
(b) Find the time it would take to swim from A to C and then run from C to D using the result of
)
(c) Find the time it would take if Spongebob swam from A to B, and then run from B to D
(d) Find the time if Spongebob swam directly from A to D, and compare the results with those of (b) and (c).
15 Type the correct answer in the box. If necessary, use / for the fraction bar and reduce the fraction. Complete the statement. If cosθ=53 and θ is in quadrant IV, sin2θ=□
kid's ride at Story Book Park has a diameter of 6 m and 8 boats around the outside. If the oats are numbered in order, how far is it directly from the 1st boat to the 4th boat? Round our answer to two decimal places. (4 marks)
3. A tea kettle is taken off of the stove and is cooling on the countertop for 10 minutes. H′(t), a differentiable function, represents the rate at which the temperature is changing, measured in degrees Celsius per minute, and t is measured in minutes.
\begin{tabular}{|c|c|c|c|c|c|}
\hlinet(min) & 0 & 2 & 5 & 9 & 10 \\
\hlineH′(t)(∘C/min) & -2.1 & -1.8 & -1.6 & -1.2 & -0.8 \\
\hline
\end{tabular}
(c) If the temperature of the tea in the kettle was 96∘C when it was taken off the stove, what is the temperature after 10 minutes?
Use the roster method to list the elements in the set.
{x∣x is a whole number less than 5}{1,2,3,4}the }{0,1,2,3,4}{6,7,8,…}
None of the Above
{…,2,3,4}
The value of an investment (in dollars) after t years is gives by
A(t)=100(1.03)t Find the average rate of change of the value (in dollars per year) over the first 5 years, that is, on the interval [0,5]. Round to the nearest cent, and do not include the units or a dollar sign; just type in a qumber.
PDF w/o expl 8. Slide \#8 10 pts possible A 790 N student stands in the middle of a frozen pond having a radius of 4.9 m . He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 3.5 kg physics textbook horizontally toward the north shore at a speed of 6.6m/s. The acceleration of gravity is 9.81m/s2.
How long does it take him to reach the south shore? Answer in units of s. Answer in units of s. Your response...
1. A basketball team consists of some quards and six forwards. If there are 420 ways to select two guards and three forwards to the starting line-up, then the number of quards on the team is 2. A coach must choose the 5 starters for a basketball team from 6 males and 5 females. If there must be at least two of each gender in the starting line-up, the number of different groups of players that can be chosen is 3. A sports store has jerseys representing the seven Canadian NHL teams and the eight Canadian CFL teams. Five of these jerseys have to be chosen for display in a store window. The store owner decides to choose three NHL and two CFL jerseys. These jerseys will be arranged in a row in the store window. The number of displays that can be made by choosing the jerseys and then arranging them in the window is 4. How many arrangements of the word POPPIES can be made If the first letter is P and the next one is not P.
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open. The table shows the scores of two teams at the end of the first half of a trivia challenge.
\begin{tabular}{|c|c|}
\hline Team & Points Scored \\
\hline Bobcats & 2x−7 \\
\hline Huskies & 5x−3 \\
\hline
\end{tabular} How many more points did the Huskies score than the Bobcats?
point(s)
() Need help with this question?
Math 6−1 Three members of a teen hiking group hiked 53 of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack? In this problem, the numerator is the same number as the □
So the answer will be a □ Each hiker carried the backpack for □ of the total trail distance.
Intro
Done
A) A farm has two cylindrical silos for storing grain as shown. Silo A Silo B How much greater is the volume, in cubic feet, of the larger silo than the smaller silo? Use 3.14 for pi. Show your work.
(3 points) The volume of Silo A is: ift t3. The volume of Silo B is ft3 The volume of Silo A is □ cubic feet larger than the volume of the Silo B.
33,912.020,347.2
: 6,782.4
27, 129.6
13,564.8
2. Line Segment AB has endpoints A(−10,4) and B(−6,2). What is the equation of the perpendicular bisector of AB. (Need to use midpoint formula, slope formula and point slope form to answer this question)
wo points are shown.
(−8,13) and (−6,3)
Which of the following correctly shows how to find the slope of the line that passes through the points given?
m=−8−(−6)13−3=−210=−5m=13−3−6−(−8)=102=51m=−6−(−8)13−3=210=5m=13−3−8−(−6)=10−2=−51
Calculate the fluid intake in milliliters (mL) for the following food items. Please fill in each blank. If the item is not included in 1&O, then write 0 . Assume
- a soup bowl holds 4 oz ,
- a Jell-o cup holds 2 oz,
- a glass holds 8 oz . Calculate the mL , for each item below, that would be included in the patient's intake.
1/2 bowl tomato soup = □ mL 1 lime Jell-o cup = □ mL
1/2 quart iced tea =□ mL 1 glass water = □ mL 2 bagels =□ mL TOTAL =□ mL
FUZZIE ||
1: Find the GCF:
12 & 26
answer choices
A:
B:
C:
4 2
1
2: Find the LCM:
D:
Et
F:
14
35
28
5&7
G:
H
I:
5
12
7
3: Find the GCF:
14 & 35
4: Find the LCM:
4 & 12
Type the 4-
letter code into
the answer
box. All CAPS,
no spaces.
The average American gets a haircut every 37 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.
42,30,26,24,26,40,42,29,23,27,24,29,32 What can be concluded at the the α=0.01 level of significance level of significance?
a. For this study, we should use
t-test for a population mean
0
b. The null and alternative hypotheses would be:
H0 :
μ0
E □□0606 0
06
c. The test statistic □t2)2= (please show your answer to 3 decimal places.)
□
d. The p -value =□ (Please show your answer
Problem Statement: Cumulative Sum for Multiple Queries
Problem Description:
You are given an array of integers arr[] of size n. You need to answer multiple range sum queries. For each query, you will be asked to return the sum of elements in the subarray from index I to index r (both inclusive). You need to process these queries efficiently. Input:
- An array arr[] of integers with size n.
- An integer q representing the number of queries.
- For each query, you are given two integers / and r, where you need to return the sum of elements in the subarray arr[l...r]. Output:
- For each query, print the sum of elements from index I to r (inclusive). Example Test Cases:
Example 1:
Input:
arr =[1,2,3,4,5]
Number of Queries: 3
02
14
04
Output:
6
14
15
A triangle has two sides of lengths 5 and 12 . What value could the length of the third side be? Check all that apply.
A. 9
B. 17
C. 5
D. 7
E. 19
F. 11
(4)) Shanti has 32 toys and 40 erasers to divide into prize bags for her friends. Shanti wants each prize bag to have the same number of toys and the same number of erasers.
4) What is the greatest number of prize bags Shanti can make?
41) Use the number pad to enter your answer in the box.
(4) The greatest number of prize bags Shanti can make is □
Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function
D′(t)=848.18+816.08t−151.95t2+17.76t3
where t is the number of years since 1995. By how much did the debt increase between 1996 and 2007? The debt increased by $72,270.55 billion.
(Round to two decimal places as needed.)
Solve the inequality and graph the solution.
2≥2p−1 Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.
Submit
Hasan placed 6 square unit tiles inside a figure as shown. He said the area of the figure is less than 6 square units. Complete the statement about Hasan's claim.
CLEAR
CHECK Hasan is □ because the tiles □ overlap when they cover the figure.
limx→8−15−3x3p(x)−2x=? Given that as x approaches 8 from the left, the value of p(x) approaches 2, and as x approaches 8 from the right, the value of p(x) approaches 3.
Question 67 A client's intake was the following:
- 11/4 cup of coffee (1 cup =4oz)=□ mL
- 4 oz cranberry juice = □ mL
- 11/2 bowls of chicken broth (1 bowl =8oz)=□ mL
- 41/2 glasses of water ( 1 glass =6 oz )=□ mL
- The client voided urine as follows: 360mL,120mL,300mL, and 225 mL Calculate the client's intake and output in mL . a. Intake: □ mL b. Output:
□ mL
The lunch special at Maya's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?
1. Shantel studied for 20 minutes and is 41 done. How much longer will she study? 2. Damon has added 43 of the ingredients with 6 added. How many more does he need to finish?
Solve the system using Gaussian elimination and backward substitution: x+2y+4z=−x+3y+3z=x+y−5z=11−2−6 Is the solution unique, infinite, or nonexistent?
Two docks are 2591 ft apart. From dock A, the bearing to a reef is 63∘22′, and from dock B, it's 333∘22′. Find the distance from dock A to the reef (round to nearest integer).
Two ships leave a port: one at N30∘50′E at 20.6 mph and another at 59∘10′E at 12.3 mph. Find their distance apart after 2 hours. Round to the nearest mile.