Answer:
.38
9/25 is .36 as a decimal
Step-by-step explanation:
Am I starting this off right? What does it mean to find instantaneous velocity?
Answer:
yesv(t) gives the instantaneous velocity at time t(a) correct
(b) -48 ft/s
(c) -32 ft/s; -64 ft/s
(d) 9.257 s
(e) -296.216 ft/s
Step-by-step explanation:
You are given an equation of motion and asked to find velocity and time at different points in the motion. This requires you differentiate the position function to find velocity, and that you solve the position function to find the time at a particular position.
__
(a)The coin is "dropped", so is presumed to have no initial velocity. The initial height is given as 1371 feet. Putting these values into the given equation, you have ...
s(t) = -16t² +1371
The velocity is the derivative of this function:
v(t) = -32t
__
(b)The average velocity on an interval is the change in position divided by the change in time:
(s(2) -s(1))/(2 -1) = ((-16·2² +1371) -(-16·1² +1371))/1 = -16(4 -1) = -48 . . . ft/s
(Note: the average velocity for a quadratic position function is the velocity at the midpoint of the interval: v(1.5) = -32(1.5) = -48 . . . ft/s.)
__
(c)Use the velocity function you found in part (a) to determine the instantaneous velocity at the given times:
v(1) = -32(1) = -32 . . . ft/s
v(2) = -32(2) = -64 . . . ft/s
__
(d)The coin will reach the ground when s(t) = 0. Solving for t, we find ...
s(t) = 0
-16t² +1371 = 0
1371 = 16t²
t = √(1371/16) = (√1371)/4 ≈ 9.257 . . . . seconds
__
(e)The velocity at impact will be ...
v(√1371/4) = -32(√1371/4) = -8√1371 ≈ -296.216 . . . ft/s
Nancy wants to buy a sweater that is priced at $75. If the store is running a 60% off sale, what will be the
amount of the discount and the sale price of the sweater?
Answer:
$30.00
Step-by-step explanation:
The original price of the sweater is $75.00. The new sale price is the original price of 100% less 60% of the original price. That means the sales price is 40% of the original price.
You can do this 2 ways:
1. $75 x 60% or .60 = $45
$75-45 = $30
or
2. $75 x 40% or .40 = $30
a student takes out an emergency loan for tuition, books, and supplies. The loan is for $900 with an interest rate of 8%. How much is does the season pay if the loan is paid back in 60 days?
NO LINKS.
$912
simple interest = Principal * Rate * Time (in years)Here given:
principal: $900rate: 8%time: 60 days = 60/360 = 1/6 years [ 1 years = 360 days ]So, simple interest:
900 * 8% * 1/6900 * 8/100 * 1/6$12Pays back: $900 + $12 = $912 back.
Answer:
$911.84
Step-by-step explanation:
Formula
[tex]\sf A=P\left(1+\dfrac{rt}{n}\right)[/tex]
where:
A = amountP = principalr = interest rate (decimal form)t = termn = number of units of term per yearGiven:
P = $900r = 8% = 0.08t = 60n = 365[tex]\implies \sf A=900\left(1+\dfrac{0.08 \times 60}{365}\right)[/tex]
[tex]\implies \sf A= \$911.84\: \textsf{(nearest cent)}[/tex]
Paul is decorating cupcakes. He can decorate 3/4 of a cupcake per minute. At this rate, how many cupcakes can he decorate in 12 minutes?
Answer:
3/4 x 12/1 because if you can decorate 3/4 a cupcake per minute, you multiply 3/4 by 12 to find the total amount of cupcakes he could decorate. 3/4 x 12/1 = 9 Paul can decorate 9 cupcakes in 12 minutes.
Step-by-step explanation:
hope tis helps im not good at match but i know this
Answer:
he can decorate 9 cupcakes in 12 mn
Step-by-step explanation:
He can decorate 3/4 of a cupcake in 1 minute
Then
He can decorate 12×(3/4) cupcakes in 12 minutes
Or
[tex]12\times\frac{3}{4} =\frac{36}{4} =9[/tex]
then he can decorate 9 cupcakes in 12mn
Question 1 of 15 What is the solution to this equation? X-9 = 5 A. x = -4 OB. X= 14 OC. x = 4 O D. x = -14
Answer:
B. x = 14
Step-by-step explanation:
1. Add 9 to both sides of the equation
x - 9+9 = 5+9
x = 14
hope this helps :)
solve the system by elimination 4x-y=2 and x+3y=7
Answer:
x=1 y=2
Step-by-step explanation:
Isolate x for 4x -y=2: X=2+y/4
Substitute x= 2+y/4
(2+y/4 )+3y=7
simplify 2+13y/4=7
Isolate y for 2+13y/4=7
y=2
Forx= 2+y/4
Substitute y = 2
x= 2+2/4
Simplify
X=1
the function f(x)=-x is shown on the graph whixh statement is correct
the range of the graph is all real numbers less than or equal to zero
the domain of the graph is all real numbers less than or equal to zero
the domain and range of the graph are the same
the range of the graph is all real numbers
Answer:
the range of the graph is all real numbers less than or equal to zero
Step-by-step explanation:
find the value of this expression if x=7 x2 +6/x-2
A spinner is divided into 6 equal sectors labeled with the letters A through F The spinner is spun 30 times. How many times is it expected that a vowel will be spun? approximately 5 times approximately 6 times approximately 10 times approximately 15 times
Answer:
approximately 10 times
Step-by-step explanation:
I hope this helps!
It is expected that a vowel will be spun approximately 10 times.
How to elaborate the problem ?
Spinner is divided into 6 equal sectors labeled with the alphabets A to F
We know that, the vowels in english are A, E, I, O, U.
In between A and , there are 2 vowels, A and E.
Probabilty of getting vowel in 1 spin = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] = 0.33
How to find the required result ?The spinner is spun 30 times.
It is expected that a vowel will be spun = 0.33 × 30 times
= 9.9 times = 10 times (approx)
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Which set of data has the same mode and median?
6, 7, 7, 8, 9
2, 2, 3, 4, 6
3, 4, 6, 7, 8
3, 3, 4, 5, 5
Answer:
A) 6, 7, 7, 8, 9
Step-by-step explanation:
Median: the middle number in a data set
Mode: the number that appears most frequently in a data set
Choices:
A) 6, 7, 7, 8, 9
B) 2, 2, 3, 4, 6
C) 3, 4, 6, 7, 8
D) 3, 3, 4, 5, 5
A) 6, 7, 7, 8, 9
Median: 7
Mode: 7
B) 2, 2, 3, 4, 6
Median: 3
Mode: 2
C) 3, 4, 6, 7, 8
Median: 6
Mode: 3, 4, 6, 7, 8 <== as they all appear once
D) 3, 3, 4, 5, 5
Median: 4
Mode: 3 and 5
Therefore, the correct answer is A, as it has a median and mode of 7.
Hope this helps!
14 to the -3 power times 14 to the 12 power using a single, positive component
Answer:
14⁹Step-by-step explanation:
14⁻³ · 14¹² = 14⁻³ ⁺ ¹² = 14⁹
Used:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
Jane rode a bike at a rate of 15 miles per hour. What was her speed in feet per second?
17ft/sec
22ft/sec
10.2ft/sec
1320ft/sec
Answer:
22ft/sec
Step-by-step explanation:
proportional rel.
Answer:
her speed was 22ft per second
Oliver's total monthly budget is shown in the circle graph below
Oliver's monthly budget is 2500 how much money does he save each month
1. determine if the functions are inverse functions
f(x) = x+6
g(x) = x-6
2. determine if the functions are inverse functions
f(x) = -3x-9
g(x) = -1/3x-3
Answer:
Question 1
The function [tex]f(x) = x + 6[/tex] is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so [tex]f^{-1}(x)=x-6[/tex]
Therefore, g(x) is the inverse of f(x).
Question 2
The function [tex]f(x) = -3x -9[/tex] is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:
[tex]\implies y = -3x -9[/tex]
Rearrange the equation to make x the subject:
[tex]\implies y+9= -3x[/tex]
[tex]\implies x=-\dfrac13(y+9)[/tex]
[tex]\implies x=-\dfrac13y-3[/tex]
Replace x with [tex]f^{-1}(x)[/tex] and y with x:
[tex]\implies f^{-1}(x)=-\dfrac13x-3[/tex]
Therefore, g(x) is the inverse of f(x).
What is the value of 7-1* 0+3/3
Answer:
six!!! OBVIOUSLY BECUASE everything is made of dogs.
Step-by-step explanation:
lol sorry caps but it was kinda obvious ngl
Select the statement that makes this comparison correct: 0.45 ________ 0.39. (2 points)
0.39 > 0.45
0.45 > 0.39
0.45 < 0.39
0.39 = 0.45
Answer: 0.45 > 0.39
SURE HOPE THIS HELPS YOU :)Give love
Select the correct questions.
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
in my class?
student in my class?
How many servings of fruit did
l eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answer:
Step-by-step explanation:
I will give each that is a statistical question
Subject the students in my class like.
Number of students in my class (as you could compare to another class)
height of each student
serving of fruits eaten in that month
Perhaps height (As you could compare it to the average height)
Highest temp. of each month this year.
How many students love football.
Answer:
Statistcial Questions -
Which subjects do the students like
What is the height of each student
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Step-by-step explanation:
Consider the following information:
Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B
Recession .18 .07 − .18
Normal .55 .10 .11
Boom .27 .15 .28
a.
Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
a.stock A expected return ____%
stock B expected return ____%
b.stock A standard deviation ____%
stock B standard deviation ____%
B because your not rounding and in this case you need to intermediate the calculations
Prove or disprove that the point lies on the circle centered at the origin
Answer:
Step-by-step explanation:
How to solve this without a calculator
Answer:
B. -3/2
Explaination:
HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.
Answer:
Step-by-step explanation:
First find the surface area of the clyinder and find the area circles and subtract
Then find the surface area of a cone, remove the circle area and double it.
Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
251.32741 - 50.2 - 50.2
Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734
113.09734 - 50.2 - 50.2
Total: 12.69734 + 150.92741 = 163.62475
5. Kiran is solving the equation Vx+ 2 – 5 = 11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step? A. x + 2 – 25 = 121 B. x + 2 + 25 = 121 х C. x + 2 – 107x + 2 + 25 = 121 = х = D. x + 2 + 107x + 2 + 25 = 121 (From Unit 3, 9.)
The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121
How to simplify algebra?We want to simplify the expression;
[√(x + 2)] - 5 = 11
Squaring both sides is;
([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11
⇒ x + 2 - 10√(x + 2) + 25 = 121
Thus, the correct answer is;
x + 2 - 10√(x + 2) + 25 = 121
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help please i will give brainlys
Answer: 190 m³
Step-by-step explanation:
We will calculate the volume of the prisms separately, and then add them together.
V = L * W * H
[1]
V = L * W * H
V = 9 * 2 * 5
V = 90 m³
[2]
V = L * W * H
V = 5 * 5 * 4
V = 100 m³
[Adding together]
100 + 90 = 190 m³
The volume is 190 m³
Solve: −(2/3a−1/3)+53a=−4
Answer:
a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157
pls help i really did it plssssssssss
Answer:
D
Step-by-step explanation:
You can combine like terms meaning (8x+14)+ (9x-5) is 17x+9
Hi!
Given:
[tex](8x+14) + (9x-5)[/tex]
As we are adding the two groups, we can safely take them out of parentheses, as none of the signs will change:
[tex]8x+14+9x-5[/tex]
Now, we can rearrange them to make it easier, placing like terms next to each other:
[tex]8x+9x+14-5[/tex]
Now, add like terms:
[tex]17x+9[/tex]
Therefore, your answer is D.
Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4
How are the mean and median affected when the value 5 is included in the data set belo
6, 9, 4, 3, 9, 3
Answer:
The mean increases and the median changes to 4.
Step-by-step explanation:
To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.
Answer:
5.5 Mean
5 Median
Step-by-step explanation:
6+9+4+3+9+3+5 =5.5
7
A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Hint: Use A = LW.
A. 243 Ft.
B. 61 FT.
C. 370 FT.
D.121 FT.
Answer:
Option A, [tex]L = 243\ ft[/tex]
Step-by-step explanation:
Step 1: Create an equation
[tex]Length = 4 * Width[/tex]
[tex]Area = (4 * W) * W[/tex]
[tex]Area = 4 W^2[/tex]
Step 2: Solve for W
[tex]14800\ ft^2 = 4 W^2[/tex]
[tex]\frac{14800\ ft^2}{4} = W^2[/tex]
[tex]3700\ ft^2 = W^2[/tex]
[tex]\sqrt{3700\ ft^2} = \sqrt{W^2}[/tex]
[tex]61\ ft = W[/tex]
Step 3: Solve for L
[tex]Length = 4 * Width[/tex]
[tex]L = 4 * 61\ ft[/tex]
[tex]L = 243\ ft[/tex]
Answer: Option A, [tex]L = 243\ ft[/tex]
WILL GIVE BRAINLIEST IF ANSWER. PLEASE HELP ITS A 6TH GRADER QUESTION
Answer:
SMALLEST TO GREATEST
102 mm --> 125 mm --> 10.4 cm --> 0.12 m.
Explanation:
Millimeters (mm) is smaller than centimeters (cm). Centimeters are smaller than meters (m).
And, since both 125 mm and 102 mm has the same units of measurement, 125>102.
So, 102 goes in front of 125.
And then the rest of the order is completed by comparing the units of measurement.
I hope it helps!! :DStrawberries cost $1.19 per pound. What is the cost of 2.16 pounds of strawberries?
PLEASEEE HELPPPP
Answer:
$ 2.57
Step-by-step explanation:
1.19 $/pound * 2.16 pound =