Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answers
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
Learn more about slopes here:
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Related Questions
for what natural values of n are the value of the following expression equal to a natural number: n+6/n
Answers
Answer:
n=1, n=2, n=3, n=6
Step-by-step explanation:
Natural #=1, 2, 3, ...
6 is the largest natural number possible here
1, 2, 3, 6 are factors of 6
n is equal to all factors of 6.
which graph represents the compound inequality -3 greater than and greater than 1
Answers
Answer:
Its the 3rd option
Step-by-step explanation:
when -3 is greater hence (-infinity,-3)
when the number is greater than 1 then (1,infinity), hence
from top to bottom, the 3rd option is the answer:
(-infinity,-3) UNION (1,infinity)
Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic
Answers
Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!
Which equation represents a linear function?
Group of answer choices
y – 5 = x(–x + 2)
y – 5 = x – 20
y(x – 1) = 9
y(y – 1) = x + 25
Answers
The income from the spanish club bake sale was $465. Expense for the sale totlaed $50. Using integer addition find the total profit or loss from the bake sale
Answers
9514 1404 393
Answer:
profit: $415
Step-by-step explanation:
Profit = Income - Expense
= $465 - 50
= $415
The profit from the bake sale was $415.
__
If you consider the above subtraction not to be "integer addition," then the equation you want to evaluate is ...
profit = $465 + (-50) = $415
Subtraction is the same as addition of the opposite.
(HELP! MARKING BRAINLIEST) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?
Answers
Answer:
14 packs per hour
Step-by-step explanation:
The store sold 57 - 15 = 42 packs of toilet paper in 3 hours.
42 packs in 3 hours = 42/3 = 14 packs per hour
Answer this and ill will help back and give brainliest
Answers
Answer:
Gh 2
Step-by-step explanation:
2
For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3-
Answers
9514 1404 393
Answer:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504Step-by-step explanation:
1. The sample space is all 16 possible sequences of T or F of length 4:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff
__
2. The number of possibilities is the product of the numbers of choices at each stage:
5 × 7 × 4 × 6 = 840 . . . different meals
__
3. 9C3 = 9!/(3!·6!) = 84
__
4. 9P3 = 9!/6! = 504
Standardization of Normal Distribution is the process of
Answers
Answer:
Step-by-step explanation:
Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.
match each statement to the reasons for the geometric proof. Part 3
Answers
9514 1404 393
Answer:
4 1 5 3 6 2
Step-by-step explanation:
The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.
The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.
__
Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:
A - 4 (reflexive prop)
B - 1 (given)
C - 5 (ASA)
D - 3 (alt int angle)
E - 6 (the end point of the proof)
F - 2 (definition)
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy).
Answers
Answer: P(S-name U Boy) = [tex]\dfrac58[/tex]
Step-by-step explanation:
Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Now, P(S-name U Boy) = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]
[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]
Hence, P(S-name U Boy) = [tex]\dfrac58[/tex]
I need help on this angle measurement paper
Answers
The graph of f (x) = −x3 + 3x2 − 2 is
shown in the figure to the right.
Complete the table below by using
the second derivative of f to identify
the intervals on which f us concave
upward or concave downward and
to identify the inflection points of f.
Answers
Answer:
Concave Up: (-∞, 1)
Concave Down: (1, ∞)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Combining Like TermsCalculus
Derivative of a Constant is 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Second Derivative Test:
Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.IStep-by-step explanation:
Step 1: Define
f(x) = -x³ + 3x² - 2
Step 2: Find 2nd Derivative
1st Derivative [Basic Power]: f'(x) = -1 · 3x³⁻² + 2 · 3x²⁻¹Simplify: f'(x) = -3x² + 6x2nd Derivative [Basic Power]: f"(x) = -3 · 2x²⁻¹ + 1 · 6x¹⁻¹Simplify: f"(x) = -6x + 6Step 3: Find P.P.I
Set f"(x) equal to zero: 0 = -6x + 6Isolate x term: -6 = -6xIsolate x: 1 = xRewrite: P.P.I x = 1Step 4: Number Line Test
See Attachment.
We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.
x = 0
Substitute: f"(0) = -6(0) + 6Multiply: f"(0) = 0 + 6Add: f"(0) = 6This means that the graph f(x) is concave up before x = 1.
x = 2
Substitute: f"(2) = -6(2) + 6Multiply: f"(2) = -12 + 6Add: f"(2) = -6This means that the graph f(x) is concave down after x = 1.
Step 5: Identify
Since f"(x) changes concavity from positive to negative at x = 1, then we know that the P.P.I x = 1 is actually a P.I x = 1.
Let's find what actual point on f(x) when the concavity changes.
Substitute in P.I into f(x): f(1) = -(1)³ + 3(1)² - 2Evaluate Exponents: f(1) = -(1) + 3(1) - 2Multiply: f(1) = -1 + 3 - 2Combine like terms: f(1) = 0So at (1, 0), f(x) changes concavity from concave up to concave down.
Step 6: Define Intervals
We know that before f(x) reaches x = 1, the graph is concave up. We used the 2nd Derivative Test to confirm this.
Concave Up Interval: (-∞, 1)
We also know that after f(x) passes x = 1, the graph is concave down. We used the 2nd Derivative Test to confirm this as well.
Concave Down Interval: (1, ∞)
Ava bought 1.7 lb of plums and 7.2 lb of peaches how many was her total. Plums:$0.23. per pound peaches:$1.22 per pound
Answers
Answer:
0.391+8.42=8.811
8.811 in dollars is 10.42 United States Dollars
Step-by-step explanation:
Your answer is 10.42 c:
Given the following function, find h(-1).
h(x) =8x²+3
Greatly appreciate any help...
Answers
Answer:
11
Step-by-step explanation:
Please please help me please it due today at 6:50pm please help will mark the brainiest please please help
Answers
7. A white dwarf
Answer:
6. nebula
7. once the sun reaches the end of its life cycle it will become a white dwarf star
8. i cant see the rest fo the question
Step-by-step explanation:
hope this helps
Anthony has t tickets. Charlie has 2 less than triple the number of tickets that Anthony has. In terms of t, how many tickets does Charlie have?
Answers
Answer:
3t-2
Step-by-step explanation:
if anthony has t tickets multiply that by 3 with 3t and subtract 2
For homework, a student had to complete 54 problems total. If she finished 9 problems in
class, what is the ratio of problems she still needs to complete to problems that she's
already finished?
Answers
Answer:
10
Step-by-step explanation:
Answer:
45:9
Step-by-step explanation:
a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?
Answers
Answer:
i feel as though you have to multiply base times height
Step-by-step explanation:
you would have to multiply it
What’s the numerator for the following rational expression please I need help quick taking test currently
Answers
Answer:
Well, the most reasonable explanation would be j+8 or 8+j
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answers
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
12 students is what percent of 60 students?
Answers
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
I believe it is 20% based on what I know.
The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}
Answers
Answer:
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
Step-by-step explanation:
using the Banzhaf power index for each voter
{76: 52, 39, 31, 25, 9}
Voter A = 52
Voter B = 39
Voter C = 31
Voter D = 25
Voter E = 9
lets calculate the Banzhaf power index for Voters A to C
A B = 52 + 39 ≥ 76
B C = 39 + 31 ≤ 76
A C = 52 + 31 ≥ 76
A B C = 52 + 39 + 31 ≥ 76
Lets consider critical
A B : A is critical because without A the sum < 76
B C : B is not critical because without B the sum is still < 76
A C : C is critical because without C the sum < 76
A B C : A is critical as B + C < 76
B is not critical as A + C ≥ 76
C is not critical as A + B ≥ 76
Number of times critical : For A = 3, For B = 0 , For C = 1
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
PLEASE HELP!!!!!!!!!!!!
(also if you dont know please dont answer so the people who know see this)
Answers
Answer:
1. A, B, F, G, L
2. A, B, C, F, G, L, M
3. D, K
Step-by-step explanation:
1. THEY ALL HAVE 4 RIGHT ANGLES
2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = ?
Answers
Answer:
The answer is 10080
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1
=5+10029+12+34
=10080 answer
Which event has theoretical probability of exactly 1/5 select three options
Answers
The spinner is divided into 10 equal sections.
Which event has theoretical probability of exactly 1/5? Select three options.
A) spinning a number less than 3
B) spinning a 4 or 5
C) spinning an odd number
D) spinning a number greater than 8
E) spinning a number less than 8
Answer:
Options A, B & D are correct
Step-by-step explanation:
From the image attached, we can see that the total number on the spinner is 10.
Now, we want to find which event has theoretical probability of exactly 1/5
Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option B: spinning a 4 or 5 means 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.
Thus, probability = 5/10 = 1/2
This option is wrong.
Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.
Thus, probability = 2/10 = 1/5
This option is correct
Option E: numbers less than 8 are;
1,2,3,4,5,6,7. That's a total of 7 numbers.
Probability = 7/10
Thus, this option is wrong.
Answer: A, B, D
Step-by-step explanation:
On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
I'll give brainiest!
Answers
Answer:
88.9
Step-by-step explanation:
Help pleaseee!
Thank you!
Answers
Answer:
The fourth graph
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
The equation has a slope of 2 and a y intercept of 3, therefore the last graph is correct.
A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits.
Answers
Answer:
18 credits per semester
Step-by-step explanation:
Based on the information given the rate at which she is earning credits is 18 credits per semester.
Using this formula
Credits earning rate=Ending credit-Beginning credits /Number of semesters
Where:
Ending credits=117 credits
Beginning credits=9 credits
Number of semesters=6
Let plug in the formula
Credits earning rate=117-9/6
Credits earning rate=108/6
Credits earning rate=18 credits
Inconclusion the rate at which she is earning credits is 18 credits per semester.
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If f(x) = 3[x] + 5, find f(x) if x = 4.3
PLS ANSWER I HAVE TO TURN IN SOON
Answers
Answer:
F(x) = 17.9
Step-by-step explanation:
Plug in x. 3(4.3) + 5 = 17.9