Suppose that height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet. Find the average velocity between times t=3 and t=4
Given :
Height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet.
To Find :
The average velocity between times t=3 and t=4 s .
Solution :
Velocity is given by :
[tex]V=\dfrac{df}{dt}=-32t[/tex]
Now , average velocity is given by :
[tex]V_{avg}=\dfrac{V_4-V_3}{4-3}\\\\V_{avg}=\dfrac{(-32)(4)-(-32)(3)}{1}\\\\V_{avg}= -32\ feet/sec[/tex]
Hence , this is the required solution .
Graph the line with the equation y=1/6x-7
Answer:
Step-by-step explanation:
A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;
y = 1/6(x) - 7
y = 1/6(0) - 7
y = -7.
Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.
In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to 1/6 and it does not represent a proportional relationship.
Read more on a graph here: brainly.com/question/4546414
#SPJ6
Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?
2+3(3a+a)
What is the distribute of this?
When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5
Answer:
XY=2
dividing both sides with y
X=2/y
(to find value of X, y should be transpose to the right or remove)
when X=o.5
y=2/0.5
y=4
so value of X is 0.5 when y=4
please help me :((
Which ordered pair is a solution to the system of inequalities?
Answer: D (-3,5)
Step-by-step explanation:
Using both inequalities input the values for x and y to see if it fits the inequality .
y > - 2
x + y < 4
The first coordinates are (1,3) Where 3 is the y value and 1 is the x value.
3 > -2 so this works because 3 is greater than -2
4 < 4 This does not work because 4 is not greater than 4 .
So the first point is not a solution to the systems of inequalities.
Now try the second point.
(0,4)
4 > -2 4 is greater than -2 so it works for the first inequality.
0+ 4 < 4 0 plus 4 is 4 and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.
Third point
(-2,-3)
-3 > -2 -3 is not greater than -2 so this means the points will not work for the system of inequalities.
Last point
(-3,5)
5 > -2 5 is indeed greater than -2 so it fits the first inequality now try the second one.
-3 + 5 < 4 -3 +5 is 2 and 2 is less than 4 so it does work for both inequalities so D is the answer.
541.3 x 3.9 what is the answer pls write with explanation
Answer:
2111.07
Step-by-step explanation:
541.3 ×
3.9
Multiply each number by the number above it and the result will appear
Answer:
2111.07
Step-by-step explanation:
hope this will help you
2. Find the product (2x + 3)(3x - 2).
Answer:
6x² + 5x - 6
Step-by-step explanation:
Given
(2x + 3)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis
= 6x² - 4x + 9x - 6 ← collect like terms
= 6x² + 5x - 6
Answer:
here the answer is 6x² + 5x - 6
Step-by-step explanation:
here is the clear explanation
2x(3x - 2) + 3(3x - 2)
= 6x² - 4x + 9x - 6
= 6x² + 5x - 6
i not sure of the answer
sorry if it is wrong
Do 3 lines always, sometimes or never intersect at one point?
Answer:
Sometimes
Step-by-step explanation:
Three line sometimes intersect
Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000
Step-by-step explanation:
We need to convert 1.5 × 10⁸ from scientific notation to standard form.
The scientific notation is 1.5 × 10⁸
Out of the given options, we need to choose the correct one.
10⁸ means 100000000
⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]
or
[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]
One of the zero from denominator and numerator will cancel down.
[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]
So, the correct option is b.
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
Save and Exit
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Submit
Answer:
The answer is
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Step-by-step explanation:
x² + x - 5 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 1 , b = 1 , c = - 5
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]We have the final answer as
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Hope this helps you
I need help please! If m∠ABD=76°, what are m∠ABC and m∠DBC? If m∠JKH=77° then m∠NDF=__
Answer:
m<ABC = 41°
m<DBC = 35°
m<NDF = 77°
Step-by-step explanation:
Problem 1:
Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)
m<ABC + DBC = m<ABD (angle addition postulate)
[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)
Solve for x
[tex] 7x - 1 + 5x + 5 = 76 [/tex]
Collect like terms
[tex] 7x + 5x - 1 + 5 = 76 [/tex]
[tex] 12x + 4 = 76 [/tex]
Subtract 4 from each side
[tex] 12x + 4 - 4 = 76 - 4 [/tex]
[tex] 12x = 72 [/tex]
Divide each side by 12
[tex] x = 6 [/tex]
Find m<ABC
m<ABC = (7x - 1)
Plug in the value of x
m<ABC = 7(6) - 1 = 42 - 1 = 41°
Find m<DBC
m<DBC = (5x + 5)
Plug in the value of x
m<DBC = 5(6) + 5 = 30 + 5 = 35°
Problem 2:
<JKH and <NDF are corresponding angles. Corresponding angles are congruent.
Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).
Which of the following options have the same value as 20% of 45?
Answer:
[tex]B. \: \frac{1}{5} \cdot 45[/tex]
[tex]E.\: 0.2 \cdot 45[/tex]
[tex]D. \: \frac{20}{100}\cdot 45[/tex]
Step-by-step explanation:
% means /100
[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]
Answer:
B, D, and E.
Step-by-step explanation:
20% is 20/100, or 0.2
so, if we put 20/100 instead of 20%, we get 20/100*45
the same goes for the rest of them. (remember, 1/5 is the same as 0.2)
How can you tell if a representation is
NOT a function?
It is not a function if there is no pattern to the numbers
Solve 2x+1=-52x+1=−5 x=
Which of these is equal to sin 32?
sin 148
sin 58
ооооо
cos 58
cos 148
cos 32
Answer:
sin148 and cos58
Step-by-step explanation:
sin32=0.530
sin148=0.530
cos58=0.530
Hope it is helpful for you
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I NEED HELP I DONT UNDERSTAND
How would I solve Part B?
Answer:
D (-4, -9)
Step-by-step explanation:
midpoint formula:
(x₁ + x₂) / 2 , (y₁ + y₂) / 2
plug in C (2,7)
(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)
(2 + x₂) / 2 = -1
multiply each side by 2
2 + x₂ = -2
subtract 2 from both sides
x₂ = -4
(7 + y₂) / 2 = -1
multiply each side by 2
7 + y₂ = -2
subtract 7 from both sides
y₂ = -9
D (-4, -9)
What is the opposite of 5.98
Answer:
[tex]\huge\boxed{-5.98}[/tex]
Step-by-step explanation:
The opposite of 5.98 is the negative one.
Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.
So, the opposite of 5.98 is:
=> -5.98
Hi there!
~
An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.
⇒ Since 5.98 is positive, it's opposite must be negative.
⇒ We multiply 5.98 by -1 to find the opposite:
Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]
↓
∴Good luck∴
Find f(−2) given that f(x)=2x2−3x+7.
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
21
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x^2-3x+7[/tex]
And we want to find f(-2).
To do so, substitute -2 for x. Thus:
[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]
Square:
[tex]f(-2)=2(4)-3(-2)+7[/tex]
Multiply:
[tex]f(-2)=8+6+7[/tex]
Add:
[tex]f(-2)=21[/tex]
And we're done!
This goes with number 4
Answer:
B
Step-by-step explanation:
You are correct
What is the solution of -28 = 22 - 5x? btw this is a algebra 1 question
Answer:
x = 10
Step-by-step explanation:
-28 = 22 - 5x
5x - 28 = 22
5x = 50
x= 10
Answer:
50
Step-by-step explanation:
-28 = 22 - 5x?
22 - 50 = -28
Hope it helps :)
congruence transformation pls help
Answer:
X, 3, 1
Step-by-step explanation:
hello again.
If i = the square root -1, what is i^3 equal to?
Answer:
[tex] \sqrt{ - 1} [/tex]
Step-by-step explanation:
that's the correct answer
XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.
Answer:
10.25 or 10 and 1/4
Step-by-step explanation:
Answer:
10.25
Step-by-step explanation:
Assuming that XZ = 5x + 1 (not -5x + 1)
XY = XZ + ZY
20 = 5x + 1 + 3x + 5
20 = 8x + 6
14 = 8x
8x = 14
x = 14/8 = 1.75
ZY = 3x + 5
ZY = 3 * 1.75 + 5
ZY = 5.25 + 5
ZY = 10.25
Ms. Greenlee went to a restaurant with her mom. After a good meal, which cost her
$45, she decided to leave a tip of 18%. How much will be her total bill, including the
tip?
Answer:
$53.10
Step-by-step explanation:
Convert 18% to the decimal fraction 0.18.
Then,
multiplyibng the $45 meal cost by 1.18 results in the total bill. It is
1.18($45) = $53.10
Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
Answer:
63°Step-by-step explanation:
If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;
∠OZQ = ∠OZP+∠PZQ.
125 = 62 + ∠PZQ.
subtract 62 from both sides;
125 - 62 = 62 + ∠PZQ -62
63 = ∠PZQ
Hence the angle m∠PZQ is 63°
solve for g E=8gh Please help!!!
Answer:
Step-by-step explanation:
8gh = E
g = E/8h
28mn/7n anmd 4m are these expressions equvialent
Answer:
yes; see below
Step-by-step explanation:
28mn / 7n
the n's cancel out
28m / 7
28/7 = 4
you are left with 4m
4m = 4m
Based on the information in the statement, what is phillips net worth
Can someone help me?
Answer:
B
Step-by-step explanation:
J
Answer:
B
Step-by-step explanation:
Hope it help