Answer:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Step-by-step explanation:
Given
[tex]4 \le f'(x) \le 5[/tex]
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]
Make f(4) - f(2), the subject:
[tex]f(4) -f(2) = 2 * f'(x)[/tex]
From the given range: [tex]4 \le f'(x) \le 5[/tex]
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
[tex]f(4) -f(2) = 2 * 4[/tex]
[tex]f(4) -f(2) = 8[/tex]
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
[tex]f(4) - f(2) = 2 * 5[/tex]
[tex]f(4) - f(2) = 10[/tex]
Hence, the minimum and maximum values can be expressed as:
[tex]8 \le f(4) - f(2) \le 10[/tex]
What is the slope of the equation y-5=9/7(x+4)
Identify the following parasite provided and draw a large labelled diagram of each
specimen
Answer:
Spiced eye gonna flush my toilet now ;)
Answer:
hes right
Step-by-step explanation:
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
A 6% sales tax charged on a $43.50 Item. How much is paid for the item altogethe
Answer: Simply multiply 43.50 x .06 you get 2.61 add them = $46.11
Step-by-step explanation:
Answer:
$46.11
Step-by-step explanation:
Net price $43.11
plus tax $2.61
Pls solve I will give brainliest
Answer:
B
Step-by-step explanation:
If I am wrong let me know
Given m||n, find the value of x
Answer:
157
Step-by-step explanation:
thats it
x= 157
they are same
PLZ HURRY!!!!!!!
This lesson is about proportional relationships there are three different problems it’s due by three
Answer:
Set 1) A and B are proportional because it is in the form of y = kx
Set 2) B is proportional because it is a straight line passing through the origin
Set 3) B and C because it uses the equation y = kx
Find the product of the square roots of the first two consecutive perfect squares
Answer:
think the answer is 4
because first two consecutive perfect number are
1 and 4 so 4×1=4
Estimate the solution of 4x + 5 = 34.
Answer:
29/4
Step-by-step explanation:
4x=29
x=29/4
The value of x and the solution of the equation is 7.25.
What is an Equation?An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.
The solution of 4x+5 = 34 is
4x = 34-5
4x = 29
x = 29/4
x = 7.25
The value of x and the solution of the equation is 7.25.
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Which is the smaller number: -5 or -15?
Answer:
-15
Step-by-step explanation:
-15 is smaller because it is a negative number. -5 is closer to 0. -15 is farther away from 0.
help help help help
Answer:
2,341.779
Step-by-step explanation:
need help quick, i have a timer
Answer:
You should be good with A
Step-by-step explanation:
HELPP WITHH MATHHH PLEASE SMART PEOPLE
Answer:
is not; 4t
Step-by-step explanation:
Because when you switch the signs for substraction like 2-3 you will get -1, but if you do 3-2, then youll get 1. The Same goes for this question. If you plug in 2 for t, like 13(2)-4(2), it will be 26-8, which is 18. But if you do the same for the other equation, 4(2)-13(2), you will get 8-26, which equals -18. So -18 does not equal 18 because one postive and the other is negative.
Answer:
is not; -4t
Step-by-step explanation:
It's not the same because the negative sign always belongs to the number in front of it.
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answer:
Step-by-step explanation:
Vertex
can u pls help me with this question
Answer:
5 gallons per fish
Step-by-step explanation:
Your first answer is correct because anytime a line passes through the origin, it is proportional.
To find the number of gallons per fish, we can take the first point which is (2, 10) and divide it by 2; (2÷2, 10÷2) = (1, 5)
This means that for every fish you get, you will need 5 gallons of water to meet the requirement.
Best of Luck!
Slope= 3 point (-4,6)
Answer:
y = 3x + 18
Step By Step Explanation
I hope this is what you wanted, I don't know what the answer was supposed to be.
What is the value of t in this situation 2t+5=2t+5
Answer:
t = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2t + 5 = 2t + 5
Step 2: Solve for t
Subtract 5 on both sides: 2t = 2tDivide 2 on both sides: t = tHere we see that t does indeed equal t.
∴ t = infinite amount of solutions
90% of 20 is equal to
Answer:
18
Step-by-step explanation:
Answer:
18 percent
Step-by-step explanation:
take away the zeros multiply them and then boom
A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and the width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)
Answer:
B
Step-by-step explanation:
The equivalent expression shows the length and the width of the path is (x-10)(x-8).
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.
Given:
A = x² - 18x +80.
Now, factorizing
x² - 10x - 8x + 80
=x(x-10) - 8(x-10)
=(x-8)(x-10)
Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).
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I NEED HELP PLZ ITS FOR MY FINAL
Each cube is 1.5 cm long. Calculate the surface area.
Answer:
13.5cm square
Step-by-step explanation:
A=l×w = 1.5×1.5=2.25cm square
SA=2.25×6=13.5cm square
The surface area of the cube is 49.5 cm². Thus, option C is correct.
What is cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. It is a hexagon when viewed from a corner, and its net is commonly portrayed as a cross. The cube is one of the five Platonic solids and the only regular hexahedron.
The surface area of a solid item is a measurement of the entire area occupied by the object's surface.
The surface area formula is six times the square of the length of the cube's sides. It is represented as 6a2, where is the cube's side length. It is, in essence, the whole surface area.
Area of Cube = side*side
= 1.5x1.5
=2.25cm²
A total of 22 surfaces are exposed. So, the surface area of the cube is,
=22* 2.25
= 49.5 cm²
Therefore, option C is correct.
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Complete question is mentioned in the image below.
The price of a television was increased from $200 to $250. By what percentage was the price of the television increased
Answer:
20%
Step-by-step explanation:
cuz quick meths
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
B. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
C. A payday loan for $1500 that is due in 10 days with a fee of $90.
since it has the longer period
D. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
Answer:
B. A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?Interest Rate is the rate at which a person either takes loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interest are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
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Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
is 42x - 56y equivalent to 42 (x + 14y)
Answer:
No
Step-by-step explanation:
42x+588
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar.
• Tom used 13% of the total sugar in the can.
• Lisa used 0.6 pound of the total sugar in the can.
• Jane used 0.12 of the total sugar in the can.
Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
Step-by-step explanation:
Tom used: 0.52 I figured it out by doing this: 0.13x4= 0.52
Lisa used: 2.4 I figured it out by doing this: 0.6x4= 2.4
Jane used: 0.48 I figured it out by doing this: 0.12x4= 0.48
so Lisa used the most
hope it helps!
Answer: Lisa used the most
Step-by-step explanation: cause i got right answer
2x ( 4x - 5) (22 – 81) = 0
Answer:
0.500
Step-by-step explanation:
Two shirt screening companies charge a set up fee and a charge for
each shirt made. The table shows the total costs for the company
Shirt Express. The total cost y (in dollars) for x shirts made by Shirt
Custom is represented by the equation y = 8 + 46.
Answer:
y=54
Step-by-step explanation:
(2/3)x = 12
what does x =
Answer:
x=18
Step-by-step explanation:
To solve for x you need to times both sides by 3/2 so then 12*3/2=12*1.5=18.
(can I get brainliest please)
Answer:
X = 18
Step-by-step explanation:
(2/3)X = 12
X = 12/(2/3)
X = 36/2
X = 18
What is the image of the point (-8,0)(−8,0) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Answer:
(0,8)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise, the formula for 90 clockwise is (y, -x) so plug in the variables and you get (0,8)
