Answer:
[tex]2h+20[/tex]
Step-by-step explanation:
It is given that there are two trees in Jon yard, where one tree is 20 feet taller than the other.
We need to find the algebraic expression for the sum of the two trees' heights.
So, in order to solve that we first need to find the height of individual trees then we have to add.
Also, It is given that the height of the smaller tree is h.
So, height of the larger tree is [tex]h+20[/tex]
Now, the total height of both the trees [tex]=h+h+20[/tex]
[tex]=2h+20[/tex]
Hence, the total height of both the trees is [tex]2h+20[/tex].
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.
−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.
Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
Answer:
Step-by-step explanation:
find the derivative of the given function at the indicated point f(x)=1/x a=2
Final answer:
The derivative of the function f(x) = 1/x at x = 2 is -1/4, found using the power rule of differentiation.
Explanation:
To find the derivative of the function f(x) = 1/x at the point where a = 2, we employ the power rule of differentiation. The function can be rewritten as f(x) = x-1. Applying the power rule (f'(x) = n*xn-1) to this function, the derivative is f'(x) = -1*x-2 or f'(x) = -1/x2. To find the derivative at x = 2, we simply substitute x with 2, giving us f'(2) = -1/22 = -1/4.
Simplify (x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
Calculus: Help ASAP
Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the mid-point of each sub-interval to determine the height of each rectangle.
Answer:
32
Step-by-step explanation:
To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.
Which point is on the graph of a direct variation equation in which k = 1.8? A. (4, 0.45) B. (7.2, 4) C. (4, 7.2) D. (0.45, 4)
Answer: C
(4, 7.2)
Step-by-step explanation: Just took this test
What is the result of factoring out the gcf from the expansion (24+36)?
The sum of two consecutive integers is 131. What are the integers?
Answer:
The Integers are 65&66
Step-by-step explanation:
Because I got correct with these awnsers
eight out of ten dentists prefer crest toothpaste.what is the ratio of dentist who do not prefer crest to those who do.
8 do, 2 don't
so the ratio would be 2:8 which can reduce to 1:4
What is the answer to the word problem a can of mixed nuts has 5 peanuts for every 2 cashews. there are 175 peanuts in the can. how many cashews are there?
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
what is the slope of the line through (-7,-8) and (0,4)
Answer:
the slope of the line is 12/7
Step-by-step explanation:
How to simplify equations with fractional exponents?
Final answer:
To simplify equations with fractional exponents, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Then multiply the numerators and denominators together and simplify by common factors if needed.
Explanation:
When simplifying equations with fractional exponents, we can follow these steps:
Divide the digit term of the numerator by the digit term of the denominator.Subtract the exponents of the exponential terms.Multiply the numerators and denominators together and simplify by common factors if needed.For example, let's simplify the equation √(x³ / y²). We divide x³ by y², which gives us x/y. Then we subtract the exponents, resulting in √(x/y). Finally, we can simplify the fractional exponent by taking the square root of x/y, which gives us √(x/y).
Betsy, a recent retiree, requires $ 6 comma 000 6,000 per year in extra income. She has $ 60 comma 000 60,000 to invest and can invest in B-rated bonds paying 15 15% per year or in a certificate of deposit (CD) paying 5 5% per year. How much money should be invested in each to realize exactly $ 6 comma 000 6,000 in interest per year?
Simplify –2x3y × xy 2. A. –2x3y4 B. –3x4y3 C. –12x4y3 D. –2x4y3
plzz help me i hate word problems
FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.
A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.
FM = MG
5y + 13 = 5 - 3y
5y + 3y = 5 - 13
8y = -8
y = -8/8
y = -1
Now, the length of the two line segments will be,
FG = FM + MG
= 2y + 13 + 5
= 2y + 18
= 2(-1) + 18
= -2 + 18
= 16
Hence, the length of the side FG is 16 units.
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The number of heads that come up when a coin, biased so that heads comes up with probability 3/4, is flipped three times.
What rule can be used to find the next term of the arithmetic sequence
The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.
3 even integers
divide -78 by 3
-78 / 3 = -26
so -24 + -26 + -28 = -78
equation would be:
n + n+2 + n+4 = -78
3n +6 = -78
3n = -84
n = -84 / 3 = -28
n +2 = -28 +2 = -26
n+4 = -28 +4 = -24
Add.
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?
a. 2 hours
b. 1 1/3 hours
c. 2 2/3 hours
d. 5 1/3 hours
How many minutes will it take to drive 82 miles with the speed of 65 miles per hou?
Louisa's savings change by -$9 each time she goes bowling.in all it changed by -$99 during the summer.how many times did she go bowling in the summer?
Answer:
She went 11 times.
Step-by-step explanation:
Given,
The change in saving in each time she goes bowling = -$ 9,
If she goes t times,
The change in saving for going t times = t × change in saving in each time
= t × -9
= -9t dollars,
According to the question,
-9t = -99
[tex]\implies t=\frac{-99}{-9}=11[/tex]
Hence, she went 11 times to bowling.
which of the following equations describe the graph shown below?
A red blinking light blinks every 18 seconds, while a yellow blinking light blinks every 12 seconds. If both lights start at the same time, after how many seconds will they next blink at the same time? A) 6 B) 18 C) 36 D) 54
In order to find the answer, you need to find the LCM, Least Common Multiple. The least common multiple of 18 and 12 is C. 36
Brainliest Please!!!
How can I pass the Algebra 1 EOC?
Which table represents a linear function?
Answer
C
hope it helps
What conversion factor would you use to convert cubic decimeters to milliliters?
A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the sample mathematical work?
Given xy+yx+x-3(x+y), I first apply the distributive property, which yields the expression xy + yx + x – 3x – 3y. I can then collect like terms: since x – 3x = –2x, I have the expression xy + yx – 2x – 3y as my final answer.
A.
The student failed to properly apply the distributive property.
B.
The student collected two or more terms that were not like terms.
C.
The student failed to collect all like terms.
D.
The mathematical work shown above is correct.
Walter is a comic book artist. He usually draws 36 comic panels each day. How many comic panels can he draw in 2 weeks.
What is the probability of flipping heads with a biased coin?