Answer: x=14.4
Step-by-step explanation:2.5x=48-12
2.5x=36
x=14.4
Answer:
x = 14.4
Step-by-step explanation:
2.5x + 12 = 48
2.5x + 12 - 12 = 48 - 12
2.5x = 36
2.5x ÷ 2.5 = 36 ÷ 2.5
x = 14.4
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.
Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]
(a)
(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]
[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]
[tex]=50.42[/tex] m/s
(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]
[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]
[tex]=51.35[/tex]m/s
(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]
[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]
[tex]=52.094[/tex]m/s
(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]
[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]
[tex]=52.2614 [/tex]m/s
(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]
[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]
[tex]=52.27814 [/tex]m/s
(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]
[tex]=56-1.86[/tex]
[tex]= 54.14[/tex] m/s
Brian had 42 class fare tickets to sell he sold 5/6 of the tickets. How many tickets did Brian and sell.
Answer:
35
Step-by-step explanation:
Expand and Simplify 4(g + 5) + 3(g – 2)
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 8?
Answer:
The average rate of change is 0
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate function for [tex]0 \le x \le 8[/tex]
The average rate function (m) is calculated as:
[tex]m = \frac{f(b)-f(a)}{b - a}[/tex]
for [tex]a \le x \le b[/tex]
So, we have:
[tex]a =0[/tex]
[tex]b = 8[/tex]
This gives:
[tex]m = \frac{f(b)-f(a)}{b - a}[/tex]
[tex]m = \frac{f(8) - f(0)}{8 - 0)}[/tex]
[tex]m = \frac{f(8) - f(0)}{8}[/tex]
From the attached plot;
[tex]f(8) =0[/tex]
[tex]f(0) = 0[/tex]
So, we have:
[tex]m = \frac{f(8) - f(0)}{8}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
if 3+3 = 9 then 2+2 = what?
Answer:
4
Step-by-step explanation:
3+3 is not 9, but 3x3 is.
So 2+2 is 4
--
hope it helps
Answer:
4 or 6 so sorry if im wrong
Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3
Answer:
the angle between u=(8, -2) and v=(9,3) is 32.5°
Step-by-step explanation:
u=(8,-2)=(u1,u2)→u1=8, u2=-2
v=(9,3)=(v1,v2)→v1=9, v2=3
We can find the angle between two vectors using the formula of dot product:
u . v =║u║║v║cos α (1)
And the dot product is:
u . v = u1 v1 + u2 v2
u . v = (8)(9)+(-2)(3)
u . v = 72-6
u . v = 66
║u║=√(u1²+u2²)
║u║=√((8)²+(-2)²)
║u║=√(64+4)
║u║=√(68)
║u║=√((4)(17))
║u║=√(4)√(17)
║u║=2√(17)
║v║=√(v1²+v2²)
║v║=√((9)²+(3)²)
║v║=√(81+9)
║v║=√(90)
║v║=√((9)(10))
║v║=√(9)√(10)
║v║=3√(10)
Replacing the known values in the formula of dot product (1):
u . v =║u║║v║cos α
66 = 2√(17) 3√(10) cos α
Multiplying:
66 = 6√((17)(10)) cos α
66 = 6√(170) cos α
Solving first for cos α: Dividing both sides of the equation by 6√(170):
Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:
(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170
cosα=11/13.03840481→cosα=0.84366149
]
If test scores of 65 and 75 were added to the set, what would happen to the mean of 75,95,90,95,60,95,75,95,90
Answer:
82.7
Step-by-step explanation:
Answer: the answer is that the mean would become smaller.
Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.
Hope this helps! Please give brainliest ;)
A telephone pole support cable attaches to the pole 24 feet high. If the cable is 30 feet long, how far from the bottom of the pole does the cable attach to the ground?
A. 54 ft.
B. 40 ft.
C. 38 ft.
D. 18 ft.
Answer please now!!!!
Answer:
b=40
Step-by-step explanation:
You need to solve this because it is b divided by 2. How you solve this is to multiply all of it by 2. 20 x 2 is 40.
Help me out pls and thanksssss
Can some one please help me with this? I will mark brainlist if right.
Step-by-step explanation:
28<18-5(-3)= 28<33 T
28<18-5(-2)= 28<28 F
28<18-5(-1)= 28< 23 F
28<18-5(0)= 28<18 F
28<18-5(2)= 28<8 F
-3(14)/-51<1 =0.82<1 T
-3(15)/-51<1=0.88<1 T
-3(17)/-51<1=1<1 F
-3(18)/-51<1= 1.1<1 F
-3(19)/-51<1=1.1<1 F
-3,14,15
wat was the greatest number of gold coins that a scavenger collected
Answer: 9
Step-by-step explanation:
Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.
Answer:
Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2
Step-by-step explanation:4
To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points below.
Data Set A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 1, 5, 7. Column 2 is labeled y with entries negative 6, 2, 18, 26.
Data Set B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 2, 0, 6. Column 2 is labeled y with entries negative 1, 2, 4, 10.
Which equations could Verdita use to represent the data sets?
Data Set A: y = 4 x minus 2
Data Set B: y = x + 4
Data Set A: y = 4 x minus 2
Data Set B: y = x minus 4
Data Set A: y = 4 x + 2
Data Set B: y = x minus 4
Data Set A: y = 4 x + 2
Data Set B: y = x + 4
Answer:
The answer to this question would be A Data Set A: y = 4x - 2 Data Set B: y = x + 4
Answer:
your answer is A
Step-by-step explanation:
i took the test lol
Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?
Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
learn more about compound interest here :
https://brainly.com/question/14295570
#SPJ2
PLEASE HELP!!!! I WILL GIVE 50 POINTS!!!
IT IS THE DOCUMENT BELOW PLEASE
The answer is
S .For many reasons
Therefore,
24.
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches. Find the length of the
second leg.
Answer:
7.48 in.
Step-by-step explanation:
Given :-
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches.And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 5² + b² = 9²
[tex]:\implies[/tex] 25 + b² = 81
[tex]:\implies[/tex]b² = 81 -25
[tex]:\implies[/tex] b² = 56
[tex]:\implies[/tex] b = 7.48 in
Hence the measurement of second leg is 7.48 inches .
I need help! Please no link answer :(
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The total fare was $40.20, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Equation:
Answer: xx =
equation:3.25x+1.2=40.2
ansrew:x=12
Help me pls becks or anyone I need to pass
Answer:
area of 105° segment = 74.2 in²
Step-by-step explanation:
area of entire circle = πr² = (3.14)(9²) = 254.34 in²
area of 105° segment = (105/360)(254.34) = 74.2 in²
Type the data that you collected (shown right) into the regression calculator. Be sure to choose a good window setting! The data show that the population of lily pads has growth rate.
The next answer is "an exponential."
Step-by-step explanation: The answers after that are 3.195 and 1.106
Answer: first part: an increasing
Second part: An exponential
Third part: 3.915, 1.106
Step-by-step explanation: i just did it
Please please i need help
11X - 3/6 = 5 Solve for X
Answer:
X = 1/2
Step-by-step explanation:
HELP IM LATE ON THIS! I WAS SUPPOSED TO DO IT YESTERDAY BUT IT WAS RAINING AND MY POWER WENT OUT!
Answer: 1/3 quart
Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.
The manager of a cafeteria kept track of the number of each type of lunch sold in October and made this table. Which graph
best correctly and completely represents the data in the table?
Answer:
The third one.
Step-by-step explanation:
The first graph says each square is 10 lunches, but there are only 3 squares for the deli sandwich. That's 30 deli sandwiches in total but there were 300 in the table so the first one is wrong. In the second one, it says that 2 types of lunches were sold up to 300 times, but in the table, only 1 was. The last graph says that there were 300 pizzas sold, but the table said there were 650, so that one is wrong.
Process of elimination leaves you with the third graph as the correct answer.
Which expression is a trinomial?
Answer:
Ans is 2 x square + 2x - 4 because the sign in this ans contains +, - divided into three part. which is trinomial
plz rate 5 star + thanks i need 1 brainliest to reach in expert
convert 23pi/12 into degrees
Answer:
Step-by-step explanation:
23 x 180/ 12 = 345°
What is the value of the interior angle
Answer:
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3
Step-by-step explanation:
Will give brainly to whoever actually answers
Please please help me
Which of the following are true about essential questions?
An essential question helps to guide the research.
An essential question uses information to answer an evidence-based claim.
An essential question should be clear and of interest to the writer.
An essential question is developed into a thesis statement.