Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
Find -3A+6B ...........
the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
Simplify the following by subtracting the exponents. I will give brainlist
Answer:
1. r^5
2. st^2
3. qr (the two "s" cancel each other out)
4. z (the x^2's and y^2's cancel each other out)
5. m (the n^2's and o's cancel each other out)
6. x
7. z^-1
8. a (the b^2's cancel each other out)
9. d^4 f^2
Step-by-step explanation:
When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.
The simplified expressions are given below.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
1) We have the division rule of exponents that,
xᵃ / xᵇ = xᵃ⁻ᵇ
Using this,
r⁶ / r = r⁶⁻¹ = r⁵
2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²
3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr
s⁰ = 1, since any number raised to zero is always one.
4) x²y²z / x²y²z
Both numerator and denominator are same.
So the quotient is 1.
5) m³n²o / m²n²o
n²o gets cancelled both in the numerator and denominator.
m³n²o / m²n²o = m³⁻² = m
6) x² / x = x²⁻¹ = x
7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹
8) a²b² / ab²
b² gets cancelled since they are same in both numerator and denominator.
a²b² / ab² = a²⁻¹ = a
9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²
Hence the simplified form of each of the expressions is given.
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Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
Write -7 / 9 as a rational number 3 different ways.
draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answer:
I graphed the answer above in the image
PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST
Answer:
The answer would be 32
Step-by-step explanation:
equation would be: 6+2(12+1)
which then turns into 6+24+2
which equals 32
Answer:
32
Step-by-step explanation:
Since a = 3, b = 4, and c = -1
The Equation is:
= 2 × (3) + 2 × [(3) × (4) - (-1)]
= 6 + 2 × [12 - (-1)]
= 6 + 2 × (12 + 1)
= 6 + 2 × 13
= 6 + 26
= 32
I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
Can someone help me answer this question
Answer:15 should be on the x and add all together with the 69
Step-by-step explanation:
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
twenty four less than two times a number x.. pls help.
Answer:
24-2x
Step-by-step explanation:
Answer:
The equation is written as follows:
2x-24
9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?
Answer: 126.49 cm [A VERY small bedroom]
Step-by-step explanation:
The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.
For reference, 126.49cm is 4.14 feet.
the fraction 11 of 9 lies between
Answer:
1.222.......
Step-by-step explanation:
11/9=1.2222
so it is between 1&2
Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)
x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48
Answer:
x²-14x+48
Step-by-step explanation:
Area= Length × Width
Area= x-6 × x-8
Area= (x-6)(x-8)
Area= x²-8x-6x+48
Area= x²-14x+48
Hope this helped you- have a good day bro cya)
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating
Help in this as well
Answer:
b 321 and 322
Step-by-step explanation:
because 321.5 is between 321 and 322
[tex]14x=8x+30[/tex]
Answer:
5
Step-by-step explanation:
14x - 8x = 30
5x = 30
x = 6
..........
Answer:
solution
14x=8x+30
collect like terms
30=8x-14x
30= -6x
divide by -6x
30/-6 = -6x/-6
X= –5
Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
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answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?
Answer:
Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.
Step-by-step explanation:
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
3/4 x 28= 1/3 of y state y? Please im in a hurry
George found a job posting on an Internet website. The job pays a yearly salary of $60K. What is the monthly salary based on this annual salary?
plzzzzzzzzzzzzzzzzz help me
Answer:
5k a month
Step-by-step explanation:
Which sentence best describe multiples of 5
What is the best choice for the equation of the line of best fit shown?
Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
a) y = -2.5x + 25
b) y = -1.5x +23
c) y = 1.5x + 23
d) y = -2.5x + 15
Answer:
What is the best choice for the equation of the line of best fit shown?
b) y = -1.5x + 23
What would the value of y be for a point at x = 8?
b) 11
Did this on EDGE!
The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.
Therefore, the correct option is B.
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90 entre (7 + 3) x 2
I need help please can anyone help.
Answer:
What do you need help on there’s nothing??
which one? A? B? C? or D? help me pleaseee
Answer:
I'm pretty sure it's C I may be wrong though
Step-by-step explanation: