Answer:
x = - 7.23
Step-by-step explanation:
3(x+6)= -3.68 Start with the breackets.
3x + 18 = - 3.69 Subtract 18 from both sides
3x = - 3.69 - 18
3x = -21.69 Divide by 3
x = - 21.69/3
x = -7.23
During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60
Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.
a.
h (t) = negative 15.9752 t cubed + 52.8875 t + 2.5536
c.
h (t) = 15.9752 t squared + 52.8875 t + 2.5536
b.
h (t) = negative 15.9752 t squared + 52.8875 t + 2.5536
d.
h (t) = negative 15.9752 t squared minus 52.8875 t + 2.5536
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
The quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that during one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height {h} of the ball above the field as a function of time {t} in seconds can be partially modeled by the following table -
{t} 0 0.6 1.2 1.8 2.4 3.0
h{t} 2.50 28.56 43.10 46.12 37.12 17.60
Using the graphing calculator, we can calculate the values as -
Mean of {x} : 1.5
Mean of {y} : 29.16666667
Correlation coefficient {r} : 0.9999376942
A : 2.55357143
B : 52.8875
C : -15.97519841
We can write the quadratic regression function as -
f(x) = A + Bx + Cx²
f(x) = 2.55357143 + 52.8875x - 15.97519841x²
Therefore, the quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
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What is the factored form of 4p³ + 8p² + 3p + 6
Answer:
(4p^2 + 3) (p+2)
Step-by-step explanation:
find common factors
(4 and 3)
factor and "group the numbers"
15-3a =??
please help
Answer:
a=5
Step-by-step explanation:
change each mixed number into an improper fraction 6 2/5
Answer:
32/5
Step-by-step explanation:
Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.
Ex: 6 2/5 = 5 x 6 +3
In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. The function y = 4x is growing faster than y = 4x. The functions y = 4x and y = 4x are growing at the same rate. The function y = 4x is growing faster than y = 4x.
Answer:
B. The function y = 4x is growing faster than y = 4x.
Step-by-step explanation:
is the answer.
Please solve
Consider the congruence ≡8 (mod 847)
ax ≡ 8 (mod 847).
Choose a value for such that (,847)=1. Then solve the congruence
I want a to be 10, a =10
Answer:
56
Step-by-step explanation:
Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?
Answer:
There were 58 hardback books there.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of paperback books.
y is the number of hardback books.
The number of paperbacks is 12 less than three times the number of hardbacks.
This means that:
[tex]x = 3y - 12[/tex]
Huong had 162 paperbacks.
This means that [tex]x = 162[/tex]
How many hardback books were there?
We want to find y.
So, using the value of x, and the first equation, we have that:
[tex]x = 3y - 12[/tex]
[tex]3y = x + 12[/tex]
[tex]3y = 162 + 12[/tex]
[tex]3y = 174[/tex]
[tex]y = \frac{174}{3}[/tex]
[tex]y = 58[/tex]
There were 58 hardback books there.
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Answer:
45.92
Step-by-step explanation:
50%=14
10%=2.8
4%=1.12
64%=19.92
19.92+28= 45.92
What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute, at what rate will his shadow lengthen
Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet
[tex]\frac{dx}{dt}=400 ft/min[/tex]
Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property
[tex]\frac{h'}{6}=\frac{7}{4}[/tex]
[tex]h'=10.5 feet[/tex]
[tex]x+y=3+4=7 feet[/tex]
[tex]\frac{h'}{6}=\frac{x+y}{y}[/tex]
[tex]\frac{10.5}{6}=\frac{x+y}{y}[/tex]
[tex]10.5y=6x+6y[/tex]
[tex]10.5y-6y=6x[/tex]
[tex]4.5y=6x[/tex]
Differentiate w.r.t t
[tex]4.5\frac{dy}{dt}=6\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min[/tex]
[tex]\frac{dy}{dt}=533.33ft/min[/tex]
Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
Your team wins 24 medals at a competition. The medals are gold, silver, and bronze in a ratio of 1:1:6. How many of each medal did your team win?
gold
Answer:
3 gold
3 silver
18 bronze
Step-by-step explanation:
Look at the ratio. 1:1:6. Add the numbers together and you get 8 right?
8 × 3 = 24
Now that you know how much to multiply each part of the ratio by, (3, if you didn't get that.) now you multiply.
1 × 3 = 3 Gold
1 × 3 = 3 Silver
6 × 3 = 18 Bronze
The graph below has the same shape as the graph of G(X) = x2, but it is
shifted up four units and to the right three units. Complete its equation. Enter
exponents using the caret (^); for example, enter x2 as x^2. Do not include
"F(x) =" in your answer.
5
Answer:
The new function f(x) = (x-3)² +4
Step-by-step explanation:
Step(i):-
Given that the graph f(x) = x²
The given graph shifted up four units then the new function
f(x) = x²+4
Step(ii):-
And again the graph shifted '3' units right then the graph is transformed to
f(x) = (x-3)² +4
the distance formula is used for 2 points on a coordinate plane?
Answer:
the distance formula is used to find the distance between two points in the plane.
Step-by-step explanation:
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Answer:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)[/tex]
Remove parentheses: (a) = a
[tex]=5n^2-4nm-9m^2+7n^2+4nm+8m^2[/tex]
Group like terms
[tex]=5n^2+7n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]5n^2+7n^2=12n^2[/tex]
[tex]=12n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]-4nm+4nm=0[/tex]
[tex]=12n^2-9m^2+8m^2[/tex]
Add similar elements: [tex]-9m^2+8m^2=-m^2[/tex]
[tex]=12n^2-m^2[/tex]
Therefore, we conclude that:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Simply the expression
Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Step-by-step explanation:
(-3+7i)-(-3-8i)= -3+7i+3+8i=15i
A game at a carnival has the following rules: A player rolls a 6-sided die and, if the number is less than
6, wins twice the number on the die in tokens. On the other hand, the player loses 12 tokens when a 6 is
rolled. What should it cost to play if the game is to be fair?
Answer: 2 tokens
Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno
please answer
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test? Let x = the number of questions worth 5 points. Let y = the number of questions worth 2 points.
Answer:
5x+2y=35
Step-by-step explanation:
Let me know if this is wrong.
Answer: The correct answer is the first one, x+y=35, 5x+2y=100.
Step-by-step explanation: I got it correct on Edge, Hope this helps :)
I need help really bad please
Answer:
$40
Step-by-step explanation:
Convert gallons to quarts using the following ratio:
4 quarts = 1 gallon
Since she bought 5 gallons of orange juice, multiple 5 by 4.
5 × 4 = 20 quarts
1 quart of orange juice costs $2.
20 × $2 = $40
Hope that helps.
Hello I just want to ask what is the definition of exterior and anterior?
Answer:
exterior is the outside and anterior is the front
Step-by-step explanation:
Solve math please.???
9514 1404 393
Answer:
a) 3
b) 1
c) y = 3x +1
Step-by-step explanation:
Given:
A(1, 4), B(2, 7)
m = (y2 -y1)/(x2 -x1)
Find:
a) the slope of the line through these points
b) the y-intercept of the line through these points
c) the equation of the line through these points
Solution:
a) Using the given formula, the slope is ...
m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line
__
b) The y-intercept can be found from* ...
b = y1 -m·x1
b = 4 -3·1 = 1 . . . the y-intercept
__
c) The equation in slope-intercept form is ...
y = mx +b
y = 3x +1
_____
* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:
y -y1 = m(x -x1)
y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1
b = y1 -m·x1 . . . . . . . . solve for b
Which is an arithmetic sequence with a common difference of 4?
o 2, 8, 32, 128, 512,
o 4, 6, 8, 10, 12,
o 4, 8, 16, 32, 64,
o 5,9,13, 17, 21,
During the month of July, we only had 0.1573 inches of rain. What is this, rounded to the nearest thousandth? O 0.2 O 0.158 0.157 inches 0.16
The cafeteria has 44 chairs and 8 tables. If the same number of chairs are placed at each table, how many chairs will be at each table? Will there be any extra chairs? If so, how mamy? Wrote your answer in a sentence.
Answer:
5 chairs at each table and Yes there will be 4 chairs left over
Step-by-step explanation:
5*8= 40
44-40= 4
Sentence: 5 chairs will be placed at each table and there will be 4 chairs left over .
Answer:
"There will be five seats at each table and will be four chairs left over since five times eight equals 40 so there will be four chairs left over"
Step-by-step explanation:
you can copy that sentence
9) Alyssa takes 10 hours to repair the roof. It takes Mike 11 hours to
complete this job. How long would it take if they worked together?
Answer:
I'm sorry for "awnsering" this I needed some points
Answer:
11 hours
Step-by-step explanation:
so here the thing alyssa takes 10 hours
but with one more person to help it take have the time to do so that would be 5.
Mike take 11hour to do a job so we do the same thing but with mike so it will be half the time 6
and if you add them together you get 11 soo it would take 11 hours to do all of the work together
(sorry if wrong) but hope it helps
The measured length is 250 ft. The actual length is 246.9 ft. Find the percent error.
36 Solve for x. 112 0 0
Answer:
x=12(the side in parallel are equal.
-2 1/3 - (-5)=
Please help me
Please help helppppp
Answer:
C
Step-by-step explanation:
Area= 1/2 (b1+b2)h
1/2 (38+14)x16
52x16=416
An angle is made up of 66 one-degree angles. What is the measure of the angle?
Answer:
66 degrees
Step-by-step explanation:
if there are 66 one degree angles, all alll those together to get 66 degrees in total
The measure of the angle that is given with the given parameter is; 66°
How to find the value of the angle?
We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.
Thus, the value of 66 numbers of that angle will be;
66 * 1 = 66°
In conclusion, the measure of the angle is 66°.
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22 is what percent of 40
Answer:
55%
Step-by-step explanation:
40x0.55=22
Answer:
55%
Step-by-step explanation:
To find what percent of 40 is 22, you must divide them.
In this case: [tex]22 / 40[/tex] . This equals .55, which can be represented as 55%