An expression is defined as a set of numbers, variables, and mathematical operations. The expression az+17=-4z-b when solved for z will be z=-(b+17)/(a+4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression az+17=-4z-b can be solved as shown below,
az + 17 = -4z - b
az + 4z = -b -17
z(a+4) = -(b+17)
z = -(b+17)/(a+4)
Thus, the expression az+17=-4z-b when solved for z will be z=-(b+17)/(a+4).
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Tim earns $12 per hour as head lifeguard at Sammy's Swim Park. As a first year lifeguard Jack earns 30% less than Tim, and as a
second year lifeguard Jim earns $1 more per hour than Jack. Which expression represents how much Jim earns? (h represents hours)
Answer:
4.6 per hour
Step-by-step explanation:
adrian wants his lawn to be mown 3 men apply for the task the first man can mow the lawn in 6 hours the second man can mow the lawn in 4 hours the third man can mow the lawn in 3 hours how long will it take for the 3 men to complete the task if all of them mowed the lawn together
SHOW WORK PLS
First man mows the lawn in 6 hours so he mows 1/6 of the lawn per hour
Second man mows at 1/4 lawn per hour
Third man mows at 1/3 lawn per hour
The total of the three: 1/6 + 1/4 + 1/3 = 2/12 + 3/12 + 4/12 = 9/12 = 3/4 of a lawn per hour.
1 lawn / 3/4 lawn per hour = 1 and 1/3 hours all together.
Answer: 1 and 1/3 hours
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) 7xe, a = 0 Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 2 cos(x), a = 0 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R, (x) 0.] cos(3x) f(x) 8 f(x) = M8 n = 0 Find the associated radius of convergence R. R= Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R, (x) +0.] f(x) = 4 cos(x), a = 57 f(x) = n = 0 Find the associated radius of convergence R. R = Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) 6x2 + 1 f(x) = Î n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
So the Taylor series for the function informed will be:
7x, 7x², 21/6 x³, 7/6 x⁴
The function is:
f(x) = 7eˣx
WE need to use the definition of a Taylor series to find the first four non zero terms of the series for f(x) centered at the given value of a.
f(x) = ∑ (fⁿ(a) (x - a)ⁿ)/n!
The first four terms will be:
f(x) = f(0) + f(1) + f(2) + f(3)
f(x) = (f(a) (0- a)ⁿ)/n! + (f'(a) (1 - a)ⁿ)/1! + (f''(a) (2 - a)²)/2! + (f'''(a) (3 - a)³)/3!
Therefore, the four first terms are 7x, 7x², 21/6 x³, 7/6 x⁴
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The standard form of
(6x1)+5x1/1,000+3x1/1,000 is?
Answer:
I think is NaH x 10°-23is -9 greater than -10
Answer:
yes -9 Is greater than -10
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 52. Find x.
X=
Answer:
x = 12
Step-by-step explanation:
Since the triangle is isosceles then the legs are congruent.
Sum the 3 sides and equate to 52, that is
2x - 4 + 2x - 4 + x = 52
5x - 8 = 52 ( add 8 to both sides )
5x = 60 ( divide both sides by 5 )
x = 12
A trapezoid has an area of 100 square units. What scale factor would be
required to dilate the trapezoid to have each area?
a. 6400 square units
b. 900 square units
c. 100 square units
d. 25 square units
e. 4 square units
The product of 3x^3-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > is_________a. 2x + 3 b.2x+2 c. 2x d. 2x + 1
The product of 3x³-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > is 2x + 1.
The product of the polynomials 3x³-5x² + 3 and 2x² + 5x – 4 in Z7[x] / < x² +1 > can be determined using polynomial long division.
To perform the division, we divide 3x³-5x² + 3 by x² + 1. The result of this division gives us the quotient and the remainder. In this case, the quotient is 2x and the remainder is 2x + 1.
The quotient represents the coefficient of x in the resulting product, while the remainder represents the constant term. Therefore, the resulting product is d. 2x + 1.
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What’s a good non-binary or male-ish name?
This isn't very mathematical, however, I can suggest Ace.
Answer:
This was almost 2 years ago but a name I really like is Ashton or Ash for short
Step-by-step explanation:
Rearrange to make x the subject
Answer:
\(x = \frac{3t}{b} \)
You have a circular loop of wire in the plane of the page with an initial radius of 0.40 m which expands to a radius of 1.00 m. It sits in a constant magnetic field B = 24 mT pointing into the page. Assume the transformation occurs over 1.0 second and no part of the wire exits the field. Also assume an internal resistance of 30 Ω. What average current is produced within the loop and in which direction? Express your answer with the appropriate units. Enter positive value if the current is clockwise and negative value if the current is counterclockwise. My INCORRECT work: emf = -BAcos(theta)/dt emf = -B*1*(dA/dt) emf = -B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1) Then V=IR so emf=IR so I=emf/R I = -[B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1)]/R I = -[24x10^-3*pi*(2*.6^2*1+2*.4*.6)]/30 I ~ -3.015928947x10^-3 I ~ -3.0x10^-3 Which is wrong.
In the given scenario, the average current produced within the loop is approximately 2.13 A.
We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.
The following equation provides the magnetic flux across a loop:
Φ = B * A * cos(θ)
ΔΦ = B * ΔA
ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²
So,
ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T
emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V
As:
emf = I * R
So, again
I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A
Thus, the average current produced within the loop is approximately 2.13 A.
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Simplify the following:
a. a+a+a+a+a+a
b. 5x-4x+10x
c. 9t+3t-6t
d. -5j+11j+j
=(a+a+a+a+a+a)
= 6a
b. 5x-4x+10x=(5x+−4x+10x)
= 11x
c. 9t+3t-6t=(9t+3t+−6t)
= 6t
d. -5j+11j+j=(−5j+11j+j)
= 7j
a)= 6a
b)= 11x
c)=6t
d)= 7j
have a great day!Which of the following equations is true
To make papier-mâché, Emma uses 3/4 cup of white school glue for each batch. For a big project, she will make 11 batches of papier-mâché. Emma has half of 1-gallon bottle of white school glue. Does Emma have enough glue?
Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
Note that 1 gallon = 16 cups
Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups
Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:
= 8 ÷ 3/4
= 8 × 4/3
= 10 2/3
Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
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What is the velocity of a car that traveled a total of 75 km north in 1.5 hours
Answer:
13.89 m/s
Step-by-step explanation:
Velocity = displacement = time
75 km = 75000 m
1.5 hours = 5400 sec
applying the formula
velocity = 75000 m= 5400 s = 13.89 m/s
Answer:
Velocity= Displacement / Time
= 75/1.5
=50km/hr
Step-by-step explanation:
hope it helps
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Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.
What is the mathematical model of an AST for a BL statement?
The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.
This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.
The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.
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A farmer wants to fence an area of 750 000 m² in a rectangular field and divide it in half with a fence parallel to one of the sides of the rectangle. How can this be done so as to minimize the cost of the fence?
The farmer should construct a rectangle that is twice as long as it is wide, with dimensions of 1216.56 m x 608.28 m, and should use 7301.36 m of fence to divide it in half parallel to the shorter side in order to minimize the cost of the fence.
To minimize the cost of the fence, the farmer should construct a rectangle that is twice as long as it is wide, with the dividing fence parallel to the shorter side. This will result in two identical rectangles each with an area of 375 000 m².
The perimeter of the rectangle can be calculated as follows:
P = 2L + 2W
where L is the length and W is the width.
Since the area of the rectangle is 750 000 m² and the length is twice the width, we can write:
L x W = 750 000
L = 2W
Substituting L = 2W into the equation for area, we get:
2W x W = 750 000
2W² = 750 000
W² = 375 000
W = 608.28 m
L = 2W = 1216.56 m
So the dimensions of the rectangle are 1216.56 m x 608.28 m.
The perimeter of each rectangle is:
P = 2L + 2W
P = 2(1216.56) + 2(608.28)
P = 3650.68 m
The total length of fence needed is twice the perimeter, since we are dividing the rectangle in half:
Total fence length = 2 x 3650.68 = 7301.36 m
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Answer number 6 please
Answer: 33 ft long
Step-by-step explanation: 20 + 13 = 33
i just did this and got it right
Answer:
33 ft
Step-by-step explanation:
20 ft + 13 ft = 33 ft
What is the least common denominator of 3/4 3/8 and 1/4
A human hair has an average diameter of 2.5 * 10 ^ - 5 meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation.
(A) 2 × 10 ^ 3
(B) 2 × 10 ^ 5
(D) 10 ^ - 3
(C) 2 × 10 ^ 6
===========================================
Explanation:
Let's find the width of the microscope slide in meters.
1000 mm = 1 m
1 mm = 1/1000 m
1 mm = 0.001 m
50*(1 mm) = 50*(0.001 m)
50 mm = 0.05 m
50 mm = 5 × 10^(-2) m
The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.
5 × 10^(-2) ÷ 2.5 × 10^(-5)
(5/2.5) × 10^(-2 - (-5) )
2 × 10^(-2 + 5)
2 × 10^3
This converts to the number 2000. So we could have 2000 strands of hair side by side.
Answer:
(A) 2 * 10^3.
Step-by-step explanation:
50 millimeters = 0.05 m
= 5 * 10^-2 meters.
So, we divide this by the diameter of 1 hair:
= (5 * 10^-2) / (2.5 * 10 ^ - 5)
= (5/2.5) * (10/^-2 / 10^-5)
= 2 * 10^(-2-(-5))
= 2 * 10^3.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
Answer:
pythagorean theorem
18
Step-by-step explanation:
These trapezoids are similar. Which of the following is the correct similarity statement?
Answer:
ABCD-DEFG
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There are 18 people waiting for the train. Eight-ninths of them have an umbrella. How many people waiting for the train have an umbrella?
Answer:
Step-by-step explanation:
Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?
There is a simple solution to this.
First, lets find out how much people is 1/9
We can do this by dividing 18 by 9 to get 2
So 1/9 of the group is 2 people.
Now you can use this to find 8/9 by multiplying 2 by 8
This gives you the total of 16
Another way you could do this was take the answer from the first step and subtract that from the 18
9/9 - 1/9 = 8/9 => 18 - 2 = 16
Hope this helps! =)
difference between linear and projectile motion. Which component will usually remain at a constant velocity? Why?
The difference between the linear and projectile motion is that "Linear-motion" refers to motion of object in a "straight-line", while "projectile-motion" refers to motion of an object that is thrown into air, in a curved path.
In linear motion, the object moves along a straight line, with its velocity and acceleration aligned in the same direction. The object's speed and direction may change, but its motion remains linear.
In projectile motion, the object moves along a curved path under the influence of gravity. The object is launched into the air with an initial velocity, and then gravity causes it to follow a parabolic path until it lands back on the ground. The motion of the object is influenced by both its initial velocity and the force of gravity.
In both linear and projectile motion, the "horizontal-component" of velocity will usually remain constant because there is no external force acting on the object in horizontal direction, and thus no acceleration.
Therefore, the object will continue to move at a constant velocity in the horizontal direction, as long as there is no external force acting on it.
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consider the degree-4 lfsr given by p(x) = x^4 x^2 1. what is the one period of key stream if the sequence has seed (s3, s2, s1, s0) = 1111 in the form of (..., s5, s4, s3, s2, s1, s0)?
The period of the key stream is 16 bits long, and it repeats after these 16 bits.
To find the one period of the key stream generated by the given degree-4 LFSR with feedback polynomial p(x) = x^4 + x^2 + 1 and seed (s3, s2, s1, s0) = 1111, we can simulate the LFSR to generate the sequence of 16 bits that make up one full period of the LFSR.
We start with the seed 1111 and use the LFSR update rule to generate each subsequent bit of the sequence. The update rule for the degree-4 LFSR is to XOR the output bits of the taps at positions 4 and 2 (since p(x) = x^4 + x^2 + 1) with the current input bit, and shift all bits one position to the right.
Here are the steps to generate the key stream:
Start with the seed (s3, s2, s1, s0) = 1111.
Generate the next bit of the sequence by XORing the output bits at positions 4 and 2 with the input bit (which is 1 for the first bit). The output bits at positions 4 and 2 are s3 and s1, respectively, so we have:
s3 XOR s1 XOR 1 = 1 XOR 1 XOR 1 = 1.
This gives us the first bit of the sequence: 1.
Shift all bits one position to the right, so the first bit becomes the second bit, the second bit becomes the third bit, and so on. The sequence now looks like this: 1111 1.
Repeat steps 2 and 3 to generate the next 14 bits of the sequence. Each new bit depends on the current state of the LFSR, which is updated at each step.
Using these steps, we can generate the entire period of the key stream:
1111 1 0011 0 1001
The period of the key stream is 16 bits long, and it repeats after these 16 bits.
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Compare V5 and 1.6.
15
1.6
answer: >
Answer:
yes
Step-by-step explanation:
4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants to attend is $12,000 per year. Owen's parents will pay 60% of the tuition cost every year and he will pay the rest. Owen has one year to save for enough money to attend his first year of college. What is the minimum amount of money he should save every month in order to reach his goal? A. $600 B. $400 D. $500 C. $300
Answer:
400
Step-by-step explanation:
12000 X 60%=7200-parents
12000-7200=4800-owen
4800/12=400 is what owen will save monthly
What is 1,450,000 in scientificnotation
Answer:
The answer is 1.45*10^6
Answer: 1.45x10^6
Step-by-step explanation:
pls mark brainliest
I also need help on this and a few more plz =>
Answer:
PLZ
Naruto and luffy and Goku will kill you.
Step-by-step explanation: