If ef = 6 and eg = 21 what is the value of fg
If EF = 6 and EG = 21 what is the value of FG?
The answer is 15.
How to solve the formula for Vf in the formula of acceleration?
Final answer:
To solve for final velocity (Vf) in acceleration calculations, identify the initial velocity (Vo), acceleration (a), and time (t), then use the formula Vf = Vo + at to find Vf. Substitute the known values into the formula to calculate the final velocity.
Explanation:
To solve for final velocity (Vf) in the formula for acceleration, follow these steps:
Identify the initial velocity, Vo, and any other known variables such as acceleration (a) and time (t).
Determine which equation to use, using the relationship that acceleration is the change in velocity over time (Δv/Δt). The formula to calculate final velocity is v = Vo + at.
Substitute the known values into the equation to solve for Vf. For example, with an initial velocity (Vo) of 30.0 km/h (which converts to 8.333 m/s), an unknown final velocity (Vf), and a time (Δt) of 8.00 seconds, the change in velocity (Δv) would be Vf - Vo.
To find Vf, rearrange the equation: Vf = Vo + (a Δt). Insert the known values into the equation and calculate the result.
As an example, if the initial velocity Vo is 0 and the acceleration is 0.40 m/s² over a time of 100 seconds, then the final velocity Vf is calculated as:
Vf = Vo + at = 0 + (0.40 m/s²) (100 s) = 40 m/s.
This procedure will yield the final velocity of an object assuming constant acceleration over the given time period.
The period of y = cos x occurs every 2pi units.
T/F?
True, the period of y = cos x occurs every 2pi units.
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
Trigonometric function,
y = cosx.
To find the period:
Use formula,
period = 2π/the coefficient of cosx.
Period = 2π
Therefore, the period of y = cosx is 2π.
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evaluate 3log3^21 ...?
Explain the difference between f and f(x).
PB is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint.
Answer:
pb and 5
Step-by-step explanation:
Jasmine wants to organize her books in order of most number of pages to least number of pages. Jasmine's longest book has 396 pages and her shortest book has one-fourth as many pages as the longest. If the book in the middle of her shelf has three times the number of pages of the shortest book. Then how many pages does the middle book have?
Answer:
297 pages
Step-by-step explanation:
Number of pages of longest book = 396 pages
Now we are given that her shortest book has one-fourth as many pages as the longest.
Number of pages of shortest book = [tex]\frac{\text{Number of pages in longest book}}{4}[/tex]
= [tex]\frac{396}{4}[/tex]
= [tex]99[/tex]
Now we are given that the book in the middle of her shelf has three times the number of pages of the shortest book.
So, Number of pages in middle book:
= [tex]3 \times \text{Number of pages of shortest book}[/tex]
= [tex]3 \times 99[/tex]
= [tex]297[/tex]
Hence the middle book have 297 pages.
what is the answer to 3/5 3/20
Why is the answer to a subtraction problem called the difference...
which fraction below represents the following statement "in the third game of the season Martha made one of 5 free throws"
Answer: Which fraction below represents the following statement?“In the third game of the season, Martha made one out of five free throws.” The answer for this questions would be 1/5
Step-by-step explanation: I got it correct on Edge.
The fraction that represents the statement "in the third game of the season Martha made one of 5 free throws is 1/5.
What is a fraction?A fraction is written with a numerator and a denominator where the numerator is less than the denominator.
Example: 1/3 is a fraction.
We have,
Total number of free throws = 5
Number of free throws Martha made = 1
The number of free throws Martha made can be written in fraction form as:
= Number of free throws Martha made / Total number of free throws
= 1 / 5
Thus,
The fraction that represents the statement "in the third game of the season Martha made one of 5 free throws is 1/5.
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Which system has no solutions?
x < 5
x > 1
x < 5
x < 1
x > 5
x > 1
x > 5
x < 1
HELP meh plz!!!
To determine which system has no solutions, we analyze a set of inequalities to identify the contradictory statement.
To determine which system has no solutions, we need to analyze the given inequalities:
x < 5
x > 1
x < 5
x < 1
x > 5
x > 1
x > 5
x < 1
From the list, the system 'x < 1' and 'x > 1' has no solutions as it creates a contradictory statement.
The table shows ordered pairs of the function y = 16 + 0.5x
Which ordered pair could be the missing values represented by (x, y)?
a) (0, 18)
b) (5, 19.5)
c) (8, 20)
d) (10, 21.5)
the answer is C (8,20)
Answer:
c) (8, 20)
Step-by-step explanation:
We must plug in the given value of x in the function and confirm that the value of y that is returned to us is the correct one.
a) (0, 18)
[tex]x=0,y=18[/tex]
[tex]y = 16 + 0.5(0)=16+0=16[/tex]
the values for y do not match, so it is not a solution.
b) (5, 19.5)
[tex]x=5,y=19.5[/tex]
[tex]y = 16 + 0.5(5)=16+2.5=18.5[/tex]
again, the values for y do not match so it is not a solution.
c) (8, 20)
[tex]x=8,y=20[/tex]
[tex]y = 16 + 0.5(8)=16+4=20[/tex]
For this option, the values of y do match, so (8, 20) are the missing values.
PLEASE HELPPP!!!
1. Choose the equation that could be used to solve the given number problem.
The sum of two consecutive integers is 141. Find the integers.
n + 1= 141
2n + 2 = 141
2n = 141
2n + 1 = 141
2. Choose the equation that could be used to solve the given number problem.
The sum of two consecutive odd integers is 112. Find the integers.
2n + 3 = 112
2n + 2 = 112
2n + 1 = 112
n + 2 = 112
Find dy/dx by implicit differentiation and evaluate the derivative at the given point.
xy = 35 ...?
Final answer:
To find dy/dx by implicit differentiation of the equation xy=35, differentiate both sides with respect to x. Use the product rule to obtain x * (dy/dx) + y = 0 and solve for dy/dx, giving dy/dx = -y / x. Evaluate this at a specific point by substituting the x and y values from that point into the derived formula.
Explanation:
To find dy/dx by implicit differentiation of the equation xy = 35, we differentiate both sides of the equation with respect to x. Since y is a function of x, when we differentiate y we must apply the chain rule, resulting in the derivative y with respect to x, or dy/dx.
Starting with the original equation:
xy = 35
We apply differentiation to both sides with respect to x:
Using the product rule for the left side: d/dx (xy) = d/dx (35)
This gives us x * (dy/dx) + y * (1) = 0 because the derivative of a constant, like 35, is 0.
We then solve for dy/dx: dy/dx = -y / x.
To evaluate the derivative at a given point, you substitute the x and y coordinates of that point into the derivative equation. For example, if we are given a point (5,7), we substitute into the dy/dx equation to find the derivative at that point:
dy/dx = -y / x = -(7) / (5)
Therefore, dy/dx at the point (5,7) is -7/5 or -1.4.
Simplify. Show your work.
5 1/3 + (-3 9/18)
Answer: Hello there!
I understand the notation 5 1/3 is equivalent to 5 + 1/3 = 5.333...
our equation is 5 +1/3 +(-3 +9/18)
first we could simplify the 9/18 as 1/2 (dividing both numerator and denominator by 9)
then the equation is:
=5+ 1/3 - (3 +1/2)
=5 + 1/3 - 3 - 1/2
=5 -3 + (1/3 - 1/2)
the common factor betwe 3 and 2 is 6, then:
=2 + (2/6 - 3/6) = 2 -1/6
this can be written as:
= 2 - 1/6 = 1 + 1 -1/6 = 1 + ( 1-1/6) = 1 + 5/6
or = 1 5/6 using the original notation.
A farmer's land is separated into sections of size
2 1/5
acres. Suppose there are
4 4/9
such sections. How many acres of land does the farmer own?
The farmer owns 8 10/45 acres of land.
Explanation:To find out how many acres of land the farmer owns, we need to multiply the number of sections by the size of each section. The size of each section is 2 1/5 acres.
The number of sections is 4 4/9. Using multiplication, we can calculate the total number of acres:
(2 1/5) x (4 4/9) = 10/5 x 40/9 = 400/45 = 8 10/45
Therefore, the farmer owns 8 10/45 acres of land.
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3. You are buying potato chips at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 bags. How do you compute your final cost?
Subtract $0.50 off of each bag and then divide by 2.
Divide each bag by 2, subtract $0.50 off of each bag, and then add them together.
Add the two bags together, divide by 2, and then subtract $0.50.
Subtract $0.50 from the first bag, add them together, and then divide by 2.
how do you derive the lens maker's equation? ...?
Using Snell’s law ( n1 sin θi = n2 sin θr ) at point A gives
1) sin i1 = n sin r1
2) i1 = n r1
3) i1 = α1 + β1
4) r1 = β1 - γ
5) α1 + β1 = n(β1 - γ)
6) sin i2 = n sin r2
7) i2 = n r2
8) i2 = α2 + β2
9) r2 = β2 + γ
10) α2 + β2 = n(β2 + γ)
11) α1 + α2 = (n - 1)(β1 + β2)
12) 1/s + 1/s' = (n - 1)(1/R1 + 1/R2)The lens maker's equation is derived by considering the image formed by the first refracting surface (left surface) and then using this image as the object for the second refracting surface. The equation takes into account the radii of curvature and the refractive indices of the lens and the surrounding medium.
Explanation:The lens maker's equation is derived by considering the image formed by the first refracting surface (left surface) and then using this image as the object for the second refracting surface.
The equation takes into account the radii of curvature and the refractive indices of the lens and the surrounding medium.
The lens maker's equation can be stated as: 1/f = (n₂ - n₁)((1/R₁) - (1/R₂)), where f is the focal length, n₂ is the refractive index of the lens, n₁ is the refractive index of the surrounding medium (usually air), R₁ is the radius of curvature of the first surface of the lens, and R₂ is the radius of curvature of the second surface of the lens.
Box of 12 golf balls costs $45. what is the unit rate
Rewrite the function in intercept form y=x^2+8x+15
The cake store is having a 30 % off sale on all of its cakes. if the cake you want regularly costs $10 how much would you save with the discount?
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4.
Let n be the number of nickels
and q be the number of quarters
1 nickels = $0.05 , so n nickels cost = 0.05n
1 quarter = $0.25, so q quarters cost = 0.25q
Total number of coins = 28
number of nickels + number of quarters = 28
n + q = 28 ------- equation 1
Total ticket cost =$4
cost of n nickels + cost of q quarters = $4
0.05n + 0.25q = 4 -------> equation 2
system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used are
n + q = 28
0.05n + 0.25q = 4
A bag contains 10 black jellybeans, 12 green ones, 3 orange ones, and 20 blue ones. if you reach in and grab one randomly, what is the probability of picking
Jenna and her friend, Khalil, are having a contest to see who can save the most money. Jenna
has already saved $110 and every week she saves an additional $20. Khalil has already saved $80
and every week he saves an additional $25. Let x represent the number of weeks and y represent
the total amount of money saved.
So far I've got 110+20x= ??? for jenna because I don't know what goes after the equal sign and 80+25x=???
What are the least common factors of 8 and 12
PTG has side lengths of 12 cm, 25 cm, and 19 cm. Which type of triangle is PTG?
right
acute
obtuse
isosceles ...?
HELPPP! true or false and explain pls!!
22. All kites are quadrilaterals.
24.A kite can have congruent diagonals.
Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished.
Housing $576
Food $272
Transportation $320
Why will he have a problem with the rest of his budget?

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ The range is {y|y ≤ 16}.
Answer with explanation:
⇒Domain:
f(x)= -x² -2 x +15
= - (x²+2 x -15)
Splitting the middle term
= - (x²+5 x - 3 x -15)
= -[ x × (x+5) -3× (x+5)]
= -(x-3)(x+5)
y=f(x)=(3 -x)(x+5)
Domain of the function is defined as set of all values of x, for which y is defined.
f(x) is defined as all real values of x.So, Domain = R.
⇒Range:
[tex]y=-x^2-2 x +15\\\\y=-(x^2+2 x-15)\\\\ y=-[(x+1)^2-1-15]\\\\y= -(x+1)^2+16\\\\ 16 -y=(x+1)^2\\\\x+1=\pm\sqrt{16-y}\\\\x=\pm\sqrt{16-y}-1[/tex]
Range of the function is defined as set of all values of y, for which x is defined.
⇒16 -y ≥ 0
⇒y ≤ 16
Option B
The domain is all real numbers. The range is {y|y ≤ 16}.
Write a polynomial function to the least degree with these roots 2 &3i ...?