Using a linear function, it is found that:
The equation that has to be solved is: [tex]-4.8t + 13 = 1[/tex]It takes 2.5 seconds for the acorn to be 1 foot above the ground.--------------------------------
A linear function modeling the height after t seconds has the following format:
[tex]h(t) = at + h(0)[/tex]
In which:
a is the slope, which is the rate of change of the height.h(0) is the initial height.The acorn is falling from 13 feet, thus [tex]h(0) = 13[/tex]It descends at a rate of 4.8 feet every second, thus the slope is negative, that is, [tex]a = -4.8[/tex]The equation for the height after t seconds is:
[tex]h(t) = -4.8t + 13[/tex]
The acorn is 1 foot above ground when: [tex]h(t) = 1[/tex]Thus:
[tex]h(t) = -4.8t + 13[/tex]
[tex]1 = -4.8t + 13[/tex]
[tex]-4.8t + 13 = 1[/tex]
[tex]4.8t = 12[/tex]
[tex]t = \frac{12}{4.8}[/tex]
[tex]t = 2.5[/tex]
It takes 2.5 seconds for the acorn to be 1 foot above the ground.
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32 > 16 – 4g > 12
Pls show step by step and explain please
Helppppppppppppppppp
Answer:
a
Why:
The radical is being multiplied by itself 4 times.
There are 5 blue marbles, 11 green marbles and
4 red marbles in a box. What percent of the
marbles are green?
a. 100
b. 80
c. 55
d. 20
Step-by-step explanation:
step by step by solutions are given
check it
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B
D
A
Select the statement that is true about the diagram above.
OmZCAB + m ABC
m BCD
O MZABC + m BCD
mZCAB
OmZCAB + m BCD
тZABC
Answer:
first option
Step-by-step explanation:
I'm not really sure myself but I think the first option is the best option to choose because the others aren't really that true and if you look the angle c is much bigger than the other angles so I think the first option is more likely
solve the proportion x-8/5=2/4
Answer:
x=2.1
Step-by-step explanation:
:)
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)
(5, 20) will form a proportional relationship with the point.
Given
A line passes through points (0,0) , (10,40) and (-10, -40)
slope of line is ( 40/10=4 ) and equation of line is ( y=4x )
(40, 10)
x=40 , y=160 Not proportional
(-5, -10)
x=-5 , y=-20 Not proportional
( 5, 20 )
x= 5 , y=20 proportional
(-10,-20)
x= -10 y= -40 Not proportional
(5, 20) will form a proportional relationship.
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Answer: C
Step-by-step explanation: ....
A game show contestant earns y dollars for completing a puzzle in x minutes. This situation is represented by the equation
y = -250x + 5000. How long did a contestant who earned $500 take to complete the puzzle?
Justify your answer
Answer:
it took them 18 minutes to earn $500
Step-by-step explanation:
Step 1: Flip the equation.
−250x+5000=500
Step 2: Subtract 5000 from both sides.
−250x+5000−5000=500−5000
−250x=−4500
Step 3: Divide both sides by -250.
−250x
−250
=
−4500
−250
x=18
Answer: x=18
Step-by-step explanation:
Please help and thanks
The table represents a linear equation.
A two column table with 5 rows. The first column, x, has the entries, negative 10, negative 5, 10, 15. The second column, y, has the entries, 8, 7. 4, 3.
Which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form?
y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
Edge 2020
Answer:
The Answer is option C y – 8 = –0.2(x + 10)
Step-by-step explanation:
evaluate log 8 12
a 0.84
b 0.67
c 1.50
d 1.19
Answer:
D
Step-by-step explanation:
the answer's 1.19?........
Answer:d
Step-by-step explanation:.
A playground has an area of 2 x 3^2 x 5^3 square feet. What is the area of the playground
Answer:
2250 square feet
Step-by-step explanation:
Answer:
Formula of square=l^2
Step-by-step explanation:
2*3^2*5^3
2*9*125
2250
What is the value of -3-(-10)-8
Answer:
-1
Step-by-step explanation:
Please hurry,
The solution of a+b>−4 is a>−9. What is the value of b?
Answer:
a+b>−4 is a>−9
B>5
this graph shows a proportional relationship. what’s the constant of proportionality ?
Answer: 3
Step-by-step explanation:
7 x 3 = 21
Answer:
40
Step-by-step explanation:
i guessed for you, and i got it right.
Jessica is saving money for a trip to Paris. In the first
month she saved $145.67. The next month she saved
three times that amount. How much total money has
she saved for her trip?
Answer:
437.01
Step by step explanation
how do i outline the process for inscribing a square in a circle.
1) Using your compass, draw a circle and label the center O.
2) Using your straightedge, draw a diameter of the circle, labeling the endpoints A and B.
3) Construct the perpendicular bisector of the diameter.
4) Label the points where the bisector intersects the circle as C and D.
Which of these does NOT represent the distance a car travels when going 55 miles per hour? d = 55t, where d represents distance in miles and t represents time in hours In 3 hours a car will travel a distance of 160 miles.
Answer:
In 3 hours a car will travel a distance of 160 miles.
Step-by-step explanation:
i know for sure is that one
How do you make 11 using only 2 4 6 8 (you can only use the number once) you can turn the numbers into a power (example : 6^2 + 4 + 8 )
The harder the answer is the better so thank you to anyone who answers
Answer:
4+8-2^0
6+4+8^0
What is the image of the point (4, -6) after a rotation of 90° counterclockwise about
the origin?
Therefore, after the rotation of [tex]90[/tex] degree in clockwise about the origin is [tex](-6,4)[/tex].
What are the points in graph?
The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line).
Here given points are [tex](4,-6)[/tex].
So when we rotate it in [tex]90[/tex] degree so the points would be [tex](-6,4)[/tex].
Hence, after the rotation of [tex]90[/tex] degree in clockwise about the origin is [tex](-6,4)[/tex].
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Terri is rewriting 7 Superscript 13 in expanded form. How many factors should she use in her expression?
Answer:
7 x 13 expanded form is y = 7 x 13 ........ 7 dived by 13 in expand form is y=7 dived by 3
Step-by-step explanation:
13 factors
The number of the factors in the expanded form of the number 7¹³ is 13.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Terri is rewriting 7 Superscript 13 in expanded form. The number will be expanded as below,
7¹³ = 7 x 7x 7x 7x 7x7 x 7x 7x 7x 7 x7 x 7x 7
The number of factors will be 13.
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if a=5 and b=3 find
ab
Answer:
Step-by-step explanation:
ab = 5*3 = 15
Answer:
a=5 b=3
5×3=15
Step-by-step explanation:
a=5given and b=3 given so we have done here multiply because there is no any sign indicated so in the case of there we have to do multiply
how many solutions dose this equation have
-2(t-4)=10-2t
[tex]-2(t - 4) = 10 - 2t\\-2t + 8 = 10 - 2t\\-2t + 2t = 10 - 8\\0t = 2[/tex]
No solution
NEED HELP! ASAP! 50 POINTS!
Find the value of k so that the line through the given points has the given slope.
(2,-3) and (k,7) m= -1
Answer:
[tex]k=-8[/tex]
Step-by-step explanation:
We have the two points: (2, -3) and (k, 7).
And we want to find the value of k such that the slope between these two points is -1.
So, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (2, -3) be (x₁, y₁) and let (k, 7) be (x₂, y₂). Let's also substitute the slope m for -1. This gives us:
[tex]-1=\frac{7-(-3)}{k-2}[/tex]
So, let's solve for k. Add in the numerator:
[tex]-1=\frac{10}{k-2}[/tex]
Notice that we can rewrite the left side as:
[tex]\frac{-1}{1}=\frac{10}{k-2}[/tex]
Now, we can cross-multiply:
[tex]-(k-2)=10[/tex]
Divide both sides by -1. This removes the negative on the left:
[tex]k-2=-10[/tex]
Finally, add 2 to both sides. So, the value of k is:
[tex]k=-8[/tex]
And we're done!
b. How long does it take the car to travel 26 miles at this speed?
Answer:
Step-by-step explanation: about 6-5hours
For 6z=126, Chris wrote that z=756. Explain what Mike’s mistake was. Then tell the correct answer.
Step-by-step explanation:
6z=126
z = 126 ÷ 6 = 21
Chris's
z = 756
6z= 126
z = 126 × 6 = 756
correct answer = 21
the number 6 is being multiplied with z.So if the number 6 is going to the right side it will divide the number on the right side.
but for chris he multiplied the number on the right side with 6.So that is the mistake.
Solve the inequality 2x - 3
Need help.... plz
Answer:
x=3/2
Step-by-step explanation:
2x-3=0
2x=0+3
2x=3
x=3/2
Find the slope from the following table.
Answer: The slope would be 5.
Step-by-step explanation: If you subtract 5 from y, and you add 1 to x, then your answer would be 5/1. 5/1 is the same thing as 5. Hope this helps! Have a great day!
One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain
Answer:
The number of students in a year 2010 is 14.67 millions .
Step-by-step explanation:
Here , the given model is [tex]N = -0.033t^2 +0.46t + 13.37[/tex]
The model is relevant since 2000.
N(10) represents the number of students enrolled in millions.
10 represent the number of years after 2000
Thus , 10 years after 2000 will be 2010 ,
Now put t =10 in the given model ,
[tex]N(10) = -0.033(10)^2 + 0.46(10) + 13.37[/tex]
[tex]N(10)= -0.033(100) + 0.46(10) +13.37[/tex]
[tex]N(10)= -3.3 +4.6+13.37[/tex]
[tex]N(10)= 14.67[/tex]
Hence, the number of students in a year 2010 is 14.67 millions. The correct option is A.
Work out the surface area of a sphere with the diameter of 13cm
Answer:
That would be 530.93
Step-by-step explanation:
Answer:
A=530.93
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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy;
4x² + y² = 8
maximum value ______
maximum value ______