The area of the region consisting of all the points Charlyn can see during her walk is equal to, A = 4840 km.
Charlyn is walking around the boundary of square A, which is 55 km long, and she has a horizontal vision of 11 km.
So as she walks around the square of 55 km, let there be another square B which lies outside square A, which is created due to her 11 km field of vision.
length of sides of square B = 55+(2×11) which is equal to 77 km.
And as she walks around the square of 55 km, let there be yet another square C which lies inside square A, which is created due to her 11 km field of vision.
length of sides of square C = 55-(2×11) which is equal to 33 km.
The area that Charlyn can see throughout her walk is equal to,
A = Area of square B - Area of square C.
The area of square B = Side² = 77² = 5929.
The area of square C = Side² = 33² = 1089.
A = 5929 - 1089.
A = 4840 km.
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solve B please thanks
The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].
Given,
The equation is :
p(x) = [tex]4x^3+x^2-24x-6[/tex]
c = -1/4
To find the remaining zeroes of p
Now, According to the question:
[tex]4x^3+x^2-24x-6[/tex]
Apply grouping
[tex](4x^3+x^2)+(-24x-6)=0[/tex]
Factor out common factor
[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]
[tex](x^2-6)(4x+1)=0[/tex]
Apply zero Product Property
4x +1 = 0 or [tex]x^{2} -6=0[/tex]
x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]
Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].
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juan went out to eat dnner,and the meal cost $60.00.If juan recived a 18% discount,what was the total value of the discount
Multiply by the decimal form of the percentage,
60 * 0.18 = 1.08
So the discount is for $1.08 off,
60 - 1.08 = 58.92
Giving a total of $58.92 after the discount is applied
The perimeter of a rectangle is 82 cm the length is 1 cm more than three times the width find the length and the width of the rectangle
The length will then be L = 18(41/19) = 738/19 cm.
As a check, the area should be A = LW = (738/19)(41/19) = 30258 cm2
sorry if this isn't much help but i had a similar problem once and i used the same steps for your question
Hello I am not sure for what to do for the end of the equation.
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
To resolve 2(1-i) z² + (1+i) z + 3 (1 - i) = 0
Given:
There are given the complex equation:
[tex]2(1-i)z^2+(1+i)z+3(1-i)=0[/tex]Explanation:
To find the value, we need to put the standard value of z into the above-given complex function:
[tex]\begin{gathered} 2(1-\imaginaryI)z^2+(1+\imaginaryI)z+3(1-\imaginaryI)=0 \\ 2(1-\imaginaryI)(x+yi)^2+(1+\imaginaryI)(x+yi)+3(1-\imaginaryI)=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2(1-\imaginaryI)(x+y\imaginaryI)^2+(1+\imaginaryI)(x+y\imaginaryI)+3(1-\imaginaryI)=0 \\ (2x^2-2y^2+4xy+x-y+3)+i(-3+x+y-2x^2+2y^2+4xy)=0 \end{gathered}[/tex]Then,
[tex](2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i[/tex]So,
[tex]\begin{gathered} (2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i \\ 2x^2-2y^2+4xy+x-y+3=0 \\ -3+x+y-2x^2+2y^2+4xy=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} x=0,y=-\frac{3}{2} \\ x=0,y=1 \end{gathered}[/tex]Final answer:
Hence, the value of the given complex function is shown below:;
[tex]\begin{gathered} z=-\frac{3}{2}i \\ z=i \end{gathered}[/tex]the population of a city will quadruple in 15 years. if its current population is 6,000, using the given rate of change, what will its approximate population be 7 years from now
Answer:
11200
Step-by-step explanation:
Every rational number is positive.
A. True
B. False
Answer:
Step-by-step explanation: it is true because when the numerator and denominator both are positive integers both are negative integers it is a positive rational number.
In terms of ln(4) and ln(5), rewrite the expression: ln 500
Answer:
2ln5 + ln4 + ln5
Step-by-step explanation:
Think about how we can write 500 in terms of 4 and 5.
[tex]500 = 5^2*(4*5)[/tex]
So ln(500) can be written as ln(5^2*4*5)
Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]
we can rewrite ln(500) to 2ln5 + ln4 + ln5
Please help thank you
The value of the unknown angle in the triangle is as follows;
m∠S = 40 degreesHow to find the angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
The external angle is ∠JRS.
Therefore, m∠S can be found as follows:
∠JRS = m∠S + m∠T
Hence,
m∠S = 3x + 4
m∠T = 8x + 4
∠JRS = 140°
Hence,
140 = 3x + 4 + 8x + 4
140 = 3x + 8x + 4 + 4
140 = 11x + 8
140 - 8 = 11x
132 = 11x
x = 132 / 11
x = 12
Therefore,
m∠S = 3(12) + 4 = 40 degrees.
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Given:m angle 2+m angle 3 =180, angle 2 and angle 5 are supplementary
Prove:p l l q
The value of x is 29° and it's a supplementary angles.
What are supplementary angles?Supplementary angles simply means the angles that have a sum that is equal to 180°
In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:
2x + 15 + 5x - 38 = 180
Collect like terms
7x - 23 = 180
Collect like terms
7x = 180 + 23
7x = 203
Divide
x = 203/7
x = 29°
The complete question is written below.
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Complete question
Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary
about 4% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
How to calculate the probability distribution's mean: Steps
change every percentage to a decimal probability.Create a probability distribution table in step two. Multiply each column's values. Combine the outcomes from step 3.A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.
Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).
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The Winchester Opera House sold 4,600 tickets this year, but it has been experiencing a 10%drop in sales from one year to the next. If this trend continues, then how many tickets willthe opera house sell 8 years from now?
Exponential decay formula:
[tex]y=a(1-r)^t[/tex]y is the number of tickets sold at t years
a is the initial number of tickets sold
r is the rate of drop (in decimal form)
t is the time in years
[tex]y=4600(1-0.1)^t[/tex]8 years from now:
[tex]\begin{gathered} y=4600(1-0.1)^8 \\ \\ y=4600(0.9)^8 \\ \\ y=1980.149 \end{gathered}[/tex]Then, if the trend continues, 8 years from now the number of tickets sell will be approximately 1980WILL GIVE BRAINLOST TO BEST QUSTION
The cost of a ride in a taxi is $4 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3, 3.25, 3.50,...
Which of the following is the Recursive Function that can be used to determine f(x), the cost in dollars, for a ride in the tax of, x. half miles?
Answer:
I don't know men iam grade 7 student
4. En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada 2
semanas. Se sabe que 15 días atrás ambos vehículos pasaron en el mismo día. Raúl M
cree que dentro de un mes los vehículos volverán a encontrarse y Oscar cree esto
ocurrirá dentro de dos semanas. ¿Quién está en lo cierto?
Answer:
???
Step-by-step explanation:
Is there a English version for this question?
HELP! WILL GIVE BRAINLIEST
Answer:
second answer
Step-by-step explanation:
Two models are shown. Which expression does each model represent?
Move the correct answer to each box. Not all answers will be used.
I need help with number 16 can I please get help?
We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.
We can break apart the figure as shown below:
A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6.
What does the solution represent in this situation?
The solution b = 1.4 represents the weight of one bag of bean.
In the question;
it is given that
weight of cardboard box when empty = 0.6 pounds
number of bean bags = 15 bags
weight of rice bag = 4 pounds
let the number of bean bags = b
total weight of carboard box with contents= 25.6 pounds
So , according to the question
0.6 + 15b + 4 = 25.6
solving further , we get
15b+4.6 = 25.6
15b = 25.6-4.6
15b = 21
b = 21/15
b = 1.4
Therefore , the solution b = 1.4 represents the weight of one bag of bean.
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2g + (g + 5) >= 6g - 10 whats the solution set?
Answer: g ≤ 5
Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5
determine the equation of line from the graph
Answer:
y = 2x
Step-by-step explanation:
The slope is 2. Find a point on the line, to go back to the line, go up two and one to the right. You will be back on the line. This pattern repeats over and over and again.
24. The temperature in ° F on 20 days during the month of June
was as follows:
70° F, 76° F,
74° F, 74° F,
76° F,
78° F,
74° F,
76° F,
70° F, 70° F, 72° F,
78° F, 76° F,
74° F,
74° F, 78° F, 80° F,
80° F, 76° F
78° F
What is the mode of temperature for the month of June?
Write the following phrase as an algebraic expression. Use n for “a number."three increased by the quotient of a number and twoa 3+n / 2b.3+ n/2c. 3(n+ 2)d. 3+2n
The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:
[tex]3\text{ + }\frac{n}{2}[/tex]The correct answer is "b".
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answer:
You would each pay $6.42
Have a good one!
How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with 1,920 grams and the half-life is 10 minutes?
23+107+x=180
It’s on triangle pls I need the answer
Answer: 50 degrees
Step-by-step explanation: 23+107+x=180
130+x=180
x=50
-9 (-5 - 4c) simplify the expression and show your work. please this is due tomorrow
The simplified value of the expression given as -9 (-5 - 4c) is 45 + 36c
How to simplify the expression?From the question, the expression is given as
-9 (-5 - 4c)
To simplify the expression, we start by opening the bracket
So, we have the following equation
-9 (-5 - 4c) = -9 (-5 - 4c)
Remove the brackets
So, we have
-9 (-5 - 4c) = -9 x -5 -9 x - 4c
Evaluate the products
So, we have
-9 (-5 - 4c) = 45 + 36c
Hence, the value of the expressions is -9 (-5 - 4c) = 45 + 36c
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please help tell me if correct or not
The area of a square is 144 square meters. What is the length (in meters) of one side of the square?
Answer:
12 m
Step-by-step explanation:
area = (side)²
(side)² = area
√(side)² = √(area)
side = √(area)
side = √(144 m²)
side = 12 m
given l || m || n, find the value of x
Answer:
x = 10
Step-by-step explanation:
(5x + 3) and 53 are corresponding angles and are congruent , then
5x + 3 = 53 ( subtract 3 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The value of 'x' is highlighted in the box
Add −1 3/10+2/5 using the number line.
Select the location on the number line to plot the sum.
The location on the number line to plot the sum of the given number is shown in the image attached below.
What is a number line?In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/10.
Next, we would add the given numbers together as follows:
Number = −1 3/10 + 2/5
Number = −13/10 + 2/5
Number = (-13 + 4)/10
Number = -9/10 or -0.9.
Therefore, the sum would be located between -4/5 and -1.
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