Answer:
The projected world population in 1998 is 6,216,871,541.95
Step-by-step explanation:
Here we have the formula for exponential growth given by
A = P(1 + r)^t
Where:
A = Population at the end of the time period
P = Population at the start of the time period
r = Rate percent of population growth
t = Time period of interest
Therefore, given r = 2% = 2/100 = 0.02, P = 5,000,000,000;
t = year 1998 - year 1987 = 11 years
We have
A = 5,000,000,000 ×[tex](1+0.02)^{11}[/tex]= 6,216,871,541.95
≈ 6.2 billion.
To find the projected world population in 1998, we can use the exponential growth model. The initial population in 1987 was 5 billion with a growth rate of 2% per year. By applying the formula, the projected population in 1998 is estimated to be approximately 6.255 billion.
Explanation:To find the projected world population in 1998, we can use the exponential growth model. The formula for exponential growth is P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years.
In this case, the initial population (P0) in 1987 was 5 billion, the growth rate (r) was 2 percent per year, and we want to find the population in 1998, which is 11 years later.
Using the formula, we can calculate the projected population in 1998 as follows:
P = 5 billion * (1 + 0.02)11P = 5 billion * 1.0211P ≈ 5 billion * 1.251 = 6.255 billionTherefore, the projected world population in 1998 would be approximately 6.255 billion.
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Write your own word problem that involves 1 1/3 -2/3 . Solve the problem, and explain what your solution means in terms of the problem that you wrote.
Answer:
If there are eleven apples to be shared between 3 boys and two bananas to be shared between 3 girls, find the difference between them.
Step-by-step explanation:
So there are 11 apples to be shared between 3 boys, which is represented mathematically as 11/3
And 2 bananas to be shared between 3 girls, which can be represented mathematically as 2/3, find the difference.
The difference between them would be 11/3 - 2/3
Solving this problem, they both have the same denominator, so we subtract the numerators directly.
11/3 - 2/3 = 9/3
Which is equals to 3.
So the difference between both of them is 3.
The sum of three numbers is 10. Two times the second number minus the first number is equal to 12. The first number minus the second number plus twice the third number equals 7. Find the numbers. Listed in order from smallest to largest, the numbers are
Answer:
The answer to your question is x = -2, y = 5 and z = 7
Step-by-step explanation:
Data
first number = x
second number = y
third number = z
Process
1.- Write equations to solve this problem
x + y + z = 10 Equation l
2y - x = 12 Equation ll
x - y + 2z = 7 Equation lll
2.- Solve equation ll for x
x = 2y - 12
3.- Substitute the previous equation in equation l and lll
(2y - 12) + y + z = 10 (2y - 12) - y + 2z = 7
2y - 12 + y + z = 10 2y - 12 - y + 2z = 7
3y + z = 10 + 12 y + 2z = 19
3y + z = 22
4.- Solve for y and z
-2(3y + z = 22)
y + 2z = 19
-6y - 2z = -44
y + 2z = 19
-5y + 0 = -25
y = -25/-5
y = 5
-Find z
5 + 2z = 19
2z = 19 - 5
2z = 14
z = 14/2
z = 7
5.- Find x
x + 5 + 7 = 10
x = 10 - 5 - 7
x = -2
Listed in order from smallest to largest: -2, 5, 7.
Let's denote the three numbers as follows:
- First number: x
- Second number: y
- Third number: z
We have three equations based on the given information:
1. x + y + z = 10
2. 2y - x = 12
3. x - y + 2z = 7
We can solve this system of equations to find the values of x, y, and z.
From equation 2, we can isolate x:
x = 2y - 12
Now substitute the value of x in equations 1 and 3:
1. (2y - 12) + y + z = 10
3y + z = 22
3. (2y - 12) - y + 2z = 7
y + 2z = 19
Now we have a system of two equations with two variables (y and z):
1. 3y + z = 22
2. y + 2z = 19
Let's solve for one of the variables in terms of the other. From equation 2, we can isolate y:
y = 19 - 2z
Now substitute this value of y into equation 1:
3(19 - 2z) + z = 22
57 - 6z + z = 22
-5z = -35
z = 7
Substitute the value of z back into the equation for y:
y = 19 - 2(7)
y = 5
Now that we have values for y and z, we can substitute them back into the equation for x:
x = 2y - 12
x = 2(5) - 12
x = 10 - 12
x = -2
So, the numbers are:
First number: -2
Second number: 5
Third number: 7
Listed in order from smallest to largest: -2, 5, 7.
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What is the initial value of the function represented by this graph? (5 points) Question 7 options: 1) 1 2) 5 3) 6 4)
Answer:
Initial value is at t = 0
Y-intercept is the initial value
You have been asked to determine where a water works should be built along a river between Chesterville and Denton to minimize the total cost of the project. The pipe to Chesterville costs $3000 per mile and the pipe to Denton costs $7000 per mile. Find the length of each pipe so that the total cost is a minimum. What is the cost?
Answer:
Length of pipe to Chesterville is 8.376 miles and
Length of pipe to Denton is 5.46 miles
Step-by-step explanation:
Here we have
The distance of Chesterville from the river is 3 miles, while the distance of Denton from the river is 5 miles
The bank of the river is 10 miles long
Therefore, we have
If x is the distance from the point directly opposite to Chesterville to the location of the water works, the equation is;
Cost to Chesterville = [tex]3000\times \sqrt{x^2 + 3^2}[/tex]
Cost to Denton = [tex]7000\times \sqrt{(10-x)^2 + 5^2}[/tex]
Total cost is then;
[tex]7000\times \sqrt{(10-x)^2 + 5^2} + 3000\times \sqrt{x^2 + 3^2}[/tex]
We differentiate the above equation and equate it to zero to get the minimum cost as
[tex]\frac{\mathrm{d} (7000\times \sqrt{(10-x)^2 + 5^2} + 3000\times \sqrt{x^2 + 3^2})}{\mathrm{d} x}[/tex] = 0
[tex]7000\frac{2x-20}{2\sqrt{x^2-20x+125} } +3000\frac{2x}{2\sqrt{x^2+9} } = 0[/tex]
[tex]3500\frac{2x-20}{\sqrt{x^2-20x+125} } = -1500\frac{2x}{\sqrt{x^2+9} }[/tex]
[tex]3500\frac{\sqrt{x^2+9}}{\sqrt{x^2-20x+125} } = -1500\frac{2x}{2x-20 }[/tex]
[tex]x^4-20x^3+10.54x^2-22.05x+110.25 =0[/tex]
Solving the quartic equation we get
x = 7.82 miles
Therefore the length of is given as
Length of pipe to Chesterville [tex]\sqrt{7.82^{2} +3^2 } = 8.376 \, miles[/tex]
Length of pipe to Denton = [tex]\sqrt{(10-7.82)^2 + 5^2} = 5.46 \, miles[/tex].
Sara joins a fruit of the month club. The entry cost is $25 and then she pays $18 per month. If she participates for 8 months, how much will she pay in all?
Answer:
$169
Step-by-step explanation:
Sara must pay the entry fee, and then a fee of 18$/month. if she is a member for 8 months the total paid must be
[tex]25 + 18*8 = 169[/tex]
Answer:
$169
Step-by-step explanation:
25+18m=$
m represents the months she participates for
25+18(8)=$
25+144=$
169=$
She pays $169 to be in a fruit club. Wow.
A bag contains 10 marbles of the same size that are red, yellow, and orange. The probability of picking a red marble is 10%. The probability of picking a yellow marble is 60%. Determine the probability of picking an orange marble from the bag and then classify the probability of picking an orange marble as likely or not likely to occur.
Answer:
30% not likely
Step-by-step explanation:
We have 10 marbles
The probability must equal 100%
10% red
60% yellow
----------------
70 %
That leaves 30% for orange
Orange is 30%
This is less than 50% so it is not likely to occur
Answer:
30%
not likely
Step-by-step explanation:
P(orange) = 100 - 10 - 60
= 30%
Less likely or not likely
A rectangle as an area of 240 square ft the base is 15 what is the height of the rectangle
Answer:
16 ft
Step-by-step explanation:
Hi there,
The formula for the area of a rectangle is A = b*h.
So, let's start out by plugging in what we know.
240 = 15h
Now, solve for h by dividing both sides by 15
h = 16
So, the height of the rectangle is 16 ft
Hope this helps! Stay safe!
- Emily
80% is best represented by which the following fractions
A. 8/100
B.4/5
C.3/4
D.8/10
Answer:
B. 4/5
Step-by-step explanation:
8/10 simplified is 4/5 so the other person is still correct.
But if there's a fraction that could be simplified, then the simplified answer would be the best answer you're looking for.
i need the steps for 38
A cylinder has a radius of 30.8 centimeters and height of 20.5 centimeters. Which measurement is closest to the lateral surface area of the cylinder in square centimeters
To find the lateral surface area of a cylinder with a radius of 30.8 cm and a height of 20.5 cm, use the formula 2πrh. The calculation gives a result of approximately 3981.86 square centimeters.
Explanation:The question asks for the closest measurement to the lateral surface area of a cylinder with a radius of 30.8 centimeters and a height of 20.5 centimeters. To find the lateral surface area of the cylinder, we use the formula: Lateral Surface Area = 2πrh, where 'r' is the radius, and 'h' is the height of the cylinder. Substituting the given values,
we get Lateral Surface Area = 2 × 3.14 × 30.8 cm × 20.5 cm.
Calculating this, we find:
Lateral Surface Area = 3981.864 square centimeters. Therefore, the closest measurement to the lateral surface area of the cylinder is 3981.86 square centimeters.
Solve the following quadratic equations using completing the square x2 – 8x – 34 = 0
Answer:
x=4± 5sqrt(2)
Step-by-step explanation:
x^2 – 8x – 34 = 0
To complete the square Add 34 to each side
x^2 -8x -34+34=0+ 34
Take the coefficient of x, and divide by 2
-8/2 =-4
Then square it and add it to each side
(-4)^2 =16
x^2 – 8x +16 = 34+16
x^2 – 8x +16 = 50
We replace the left side with (x + the coefficient of x/2)^2
(x -4)^2=50
Take the square root of each side
sqrt((x -4)^2)=±sqrt(50)
x-4 = ±sqrt(25*2)
x-4 = ±sqrt(25)*sqrt(2)
x-4 = ±5sqrt(2)
Add 4 to each side
x=4± 5sqrt(2)
Answer:
4 + 5sqrt(2), 4 - 5sqrt(2)
Step-by-step explanation:
x² - 8x - 34 = 0
x = [-(-8) +/- sqrt((-8)² - 4(1)(-34))]/2
x = (8 +/- sqrt200)/2
x = 4 +/- 5sqrt(2)
Elisondra is eating at a restraurant with three friends. They want to choose at random who will order first. If you
model the situation with the spinner, how many equal-sized sections should the spinner have?
what will be the equal sized sections ?
Answer:
4 i did the quizzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
You borrow $10,000 to buy a carThe simple interest rate is 3%. You pay the loan oft after 6 years. What is the total amount you paid for the loan?
Answer:
Step-by-step explanation:
Amount loaned = $10,000
Interest rate = 3%
Duration = 6 years
10,000 / 100 x 3/1 × 6
= 300 × 6
= 1800 + 10,000
Total Amount to pay
= $11,800
Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: negative 1.76 g divided by dl less than mu 1 minus mu 2 less than minus 1.62 g divided by dl−1.76 g/dl<μ1−μ2<−1.62 g/dl. complete parts (a) through (c) below.
a. what does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men? because the confidence interval includes nothing, it appears that there is a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men. (type an integer or a decimal. do not
Answer:
1. The mean hemoglobin level in men is not equal to the mean hemoglobin level in women and
2. There is more hemoglobin in the average man than in the woman
Step-by-step explanation:
The confidence interval is from
-1.76 g/dl < μ₁ - μ₂ < -1.62 g/dl
Here we note that the range in the confidence interval for the difference between the two means lie in the negative part of the number line which is indicative of that μ₁ - μ₂ ≠ 0 or μ₁ ≠ μ₂
That is the statistic of the confidence interval implies that the mean hemoglobin level in men is not equal to the mean hemoglobin level in women and
That there is more hemoglobin in the average man than in the woman.
How many 2-digit numbers can be formed from the digits 1 through 8 if each digit is only used once?
Answer:
56.
Step-by-step explanation:
That is the number of permutations of 2 from 8
= 8P2
= 8!/(8-2)!
= 8!/6!
= 8 * 7
= 56.
Answer:57
Step-by-step explanation:
12
13
14
15
16
17
18
21
23
24
25
26
27
28
31
32
34
35
36
37
38
41
42
43
45
46
47
48
51
52
53
54
56
57
58
61
62
63
64
65
67
68
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..
Which ordered pair is a solution of the equation?
y - 4= 7(x – 6)
Choose 1 answer:
A. Only 5,4
B. Only 6,5
C both 5,4 and 6,5
D. Neither
The three sides of a triangular lot are represented by x , 2 x , and 3 x + 2. Find each side if the perimeter of the triangular lot is 362 feet. The lengths of the sides of the triangle are :
Answer:
60 ft, 120 ft, 182 ft
Step-by-step explanation:
Hi there,
To find the perimiter of a polygon, you need to add of all of the sides.
So, let's do that:
x + 2x + 3x+2
Since we are given the perimeter, we make what we just did above, equal to the perimeter
x + 2x + 3x +2 = 362
Combine lke terms...
6x + 2 = 362
Subtract 2 from both sides to start to isolate the variable...
6x = 360
Divide both sides by 6 to isolate x...
x = 60
But we're not done yet...
The length of the first side is 60 ft, the length of the second side is 2*60 which is 120 ft, and the length of the third side is 3*60 + 2 which is 182 ft.
Let's check...
Does 60 + 120 + 182 = 362?
362 = 362
Our answers are right
Hope this helps! Stay safe!
- Emily
The sum of two negative numbers is always a negative number. Choose the correct answer below A. True B. False
Answer:
True
I hope this helps :)
Answer:
True
Step-by-step explanation:
True because there are only negative numbers in the calculation. Zero pairs are formed when a positive and a negative number are added
What is the slope of a line that is perpendicular to the line y = x + 5?
–2
2
Answer:
-2
or
A.
Step-by-step explanation:
on edge 2020
Explain why a polar curve is not always bounded.
Answer: There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(Θ)) to be an unbounded polar. An example of an unbounded curve would be r = Θ for 0 ≤ Θ.
Answer:
There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(Θ)) to be an unbounded polar.
Step-by-step explanation:
its correct on EDGE2022
Grace earns $5 each times she walks her neighbor's dog. She walks the dog 5 times in one week. Then she spends $7 on a book and $9 on a building set. Write an equation to represent how much money Grace has left, m.
Answer:
$5 (5) - ($7+$9)=m
$25 - $16 =m
Step-by-step explanation:
$5 (5) - (7+9)=m
$25 - 16 =m
The equation to represent how much money Grace has left is:
m = $25 - $7 - $9
m = $25 − $16
m = $9
How do we represent the event in the form of an equation?Grace earns $5 for each dog walk.
She walks the dog 5 times in one week, so she earns 5 walks * $5/per walk = $25.
She spends $7 on a book and $9 on a building set, so she spends a total of $7 + $9 = $16.
To find out how much money Grace has left, m, we subtract her total spending from her earnings.
So, the equation to represent how much money Grace has left is:
m = $25 − $16
m = $9
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What Is -6.75?
A natural number or
Whole # or
A integer or
Rational or
Irrational or
Real?
(Choose one)
-6.75 is a rational number since it can be expressed as a fraction of two integers. It's also a real number, but it's not a natural, whole, integer, or irrational number.
Explanation:The number -6.75 is a Rational Number. Here's why:
A Natural Number is a number that is a positive integer, which would not include -6.75 because it is negative. A Whole Number is a number without fractional components, so -6.75 isn't a whole number as it has a fractional part. An Integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals, therefore, -6.75 isn't an integer. A Rational Number is a number that can be expressed as a fraction of two integers, and since -6.75 can be written as -675/100, it falls into this category. Since all rational numbers are included in the Real Number set, -6.75 is also a real number. However, an Irrational Number cannot be expressed as a ratio of two integers, which means that -6.75 isn't irrational.
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The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives 20.5years; the standard deviation is 3.9 years. Use the empirical rule (68-95-99.7%)to estimate the probability of a zebra living less than 32.2 years.
Answer:
Using the empirical rule, the probability of a zebra living less than 32.2 years is about [tex] \\ P(z<3) = P(x<32.2) = 0.9985[/tex] or about 99.85%.
Step-by-step explanation:
Roughly speaking, the empirical rule tells us that, in a normal distribution, the distance of one standard deviation from the mean, above and below it, contains approximately 68% of the observations of the normally distributed data; two standard deviations from the mean, above and below it, 95% of the data, and, finally, the distance of three standard deviations from the mean, above and below it, contains 99.7% of the data, approximately.
To estimate probabilities with this rule, we need to use, at least, two concepts: the standard normal distribution and the z-scores. A standard normal distribution is a normal distribution with mean = 0 and standard deviation = 1. It represents standardized data. This standardized data are those coming from a normal distribution and commonly called raw data. The way to standardized them is using the z-scores:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]
Where
x represents raw data. In this case, x = 32.2 years.
[tex] \\ \mu[/tex] is the population mean. In this case, [tex] \\ \mu = 20.5[/tex] years.
[tex] \\ \sigma[/tex] is the population standard deviation. In this case, [tex] \\ \sigma = 3.9[/tex] years.
Then, using [1], we "transform" the raw score into a z-score (a standardized value) and then use this to find the corresponding probability using the standard normal distribution (or the cumulative standard normal distribution to be more precise), available in any Statistics book or on the Internet.
However, applying the empirical rule, we can estimate those probabilities faster but in an approximate way.
Let us take the corresponding z-score:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]
[tex] \\ z = \frac{32.2 - 20.5}{3.9}[/tex]
[tex] \\ z = \frac{11.7}{3.9}[/tex]
[tex] \\ z = 3[/tex]
That is, the value z = 3 tells us the raw score 32.2 years is three standard deviations from the mean. In other words, 99.7% of the values are between z = -3 and z = 3. However, we are asked for P(z<3). The remaining area is below z = -3 and above z = 3. Since the normal distribution is symmetrical, we have to divide the remaining area by 2. That is, (1 - 0.997)/2 = 0.003/2 = 0.0015.
The area below z = -3 is, therefore, 0.0015, as well as above z = 3 or P(z<-3) = P(z>3) = 0.0015. The only area that not correspond to P(z<3) is P(z>3). As a result, we need to add the area below z = -3 (0.0015) to the value of 0.997 to finally have P(z<3).
Then
[tex] \\ P(z<3) = P(x<32.2) = 0.997 + P(z<-3)[/tex]
[tex] \\ P(z<3) = P(x<32.2) = 0.997 + 0.0015[/tex]
[tex] \\ P(z<3) = P(x<32.2) = 0.9985[/tex]
Thus, using the empirical rule, the probability of a zebra living less than 32.2 years is about [tex] \\ P(z<3) = P(x<32.2) = 0.9985[/tex].
In the graph below, we have a representation of the area below z = 3 or P(z<3) = P(x<32.2) is, approximately, 0.9985 or 99.85%.
Notice that using the cumulative standard normal table, as explained before, we have that P(z<3) = 0.99865.
Answer: 68, if the question asks between 16.6 and 24.4 years. 99.85, if the question asks for less.
Step-by-step explanation:
There are 30 students in Mrs. Taylor's kindergarten class. If there are twice as many students with blond hair as with blue eyes, 6 students with blond hair and blue eyes, and 3 students with neither blond hair nor blue eyes, how many students have blue eyes?
Answer:
11
Step-by-step explanation:
Let e represent the number of students with blue eyes. Then the number of students with blond hair is 2e. The total number of students is ...
3 + e + 2e -6 = 30
We subtracted 6 because the expressions e and 2e cause the 6 students with both blond hair and blue eyes to be counted twice.
3e = 33 . . . . add 3 and simplify
e = 11
11 students have blue eyes.
In the given problem, using the logical reasoning to deduce from the given facts, it can be determined that there are 10 students in Mrs. Taylor's class that have blue eyes.
Explanation:To find out how many students in Mrs. Taylor's kindergarten class have blue eyes, we need to use the information given in the problem and make a series of logical deductions.
First, we know that there are twice as many students with blond hair as with blue eyes. Let's say the number of students with blue eyes is x. This implies that the number of students with blond hair is 2x.
We also know that there are 6 students with both blond hair and blue eyes. So, those students are included in both of our previous counts. Therefore, we need to subtract 6 from each count to get the number of students with only one of those attributes.
So far, this gives us x - 6 students with only blue eyes and 2x - 6 students with only blond hair. We know that there are 3 students with neither attribute, so the total number of students is (x - 6) + (2x - 6) + 6 (students with both attributes) + 3 (students with neither attribute) = 30.
Adding these together gives us 3x = 30, so x = 30/3 = 10. Therefore, there are 10 students with blue eyes.
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Fine the volume of the sphere. Leave the answer in terms of pi.
Given:
The area of the given sphere = 36π in²
To find the volume of the given sphere.
We need to find the radius first.
Formula
The area of a sphere [tex]A = 4\pi r^{2}[/tex]The volume of the sphere [tex]V = \frac{4}{3} \pi r^{3}[/tex]where, r be the radius of the sphere.
Now,
According to the problem,
[tex]4\pi r^{2} = 36\pi[/tex]
or,[tex]4r^{2} = 36\\[/tex] [ Eliminating π from both the side]
or, [tex]r^{2} = \frac{36}{4}[/tex]
or, [tex]r = \sqrt{9}[/tex]
or, [tex]r = 3[/tex]
So,
The radius of the sphere is 3 inches
Therefore,
The volume of the sphere is
[tex]V = \frac{4}{3} \pi (3)^{3}[/tex]
or, [tex]V = 36\pi[/tex]
Hence,
The volume of the sphere is 36π cube inches.
What is the product of -9x (5-2x)
Answer:
Step-by-step explanation:
It s 55555555
Answer:
18x^2-45x
Step-by-step explanation:
-9x (5-2x)
=-9x X 5-(-9x) X 2x
=-9 X 5x+9 X 2xx
=18x^2-45x
I hope this helps!
Juanita cut her cheese into 4 equal pieces she gave 2 pieces to her brother
Answer:
She has 2 pieces left
Step-by-step explanation:
A radio antenna is kept perpendicular to the ground by three wires of equal length. The wires touch the ground at three points on a circle whose center is at the base of the antenna. If the wires touch the ground at (9,-19),(-21,-19), and(14,16), what are the coordinates of the base of the antenna?
Answer:
The coordinates of the base of the antenna is (-6. 1)
Step-by-step explanation:
Here we are required to find the center of a circle given points on the circumference
The equation of a circle is
(x - h)² + (y - k)² = r²
Where:
x and y are points on the circumference
h and k are coordinates of the center of the circle and
r = The radius of the circle
Since we have the values for the points on the circumference, we are left with three unknowns, which we can find with three equations as follows;
By plugging in the values for x and y at the respective points we get,
At (9, -19) → (9 - h)² + (-19 - k)² = r²...............(1)
At (-21, -19) → (-21 - h)² + (-19 - k)² = r².....,...(2)
At (14, 16 ) → (14 - h)² + (16 - k)² = r² ............(3)
Solving, we get from (1) (-19 - k)² = r² - (9 - h)²
Plugging in the value of (-19 - k)² in equation (2) we get
(-21 - h)² + r² - (9 - h)² = r²
So that (-21 - h)² - (9 - h)² = r² - r² = 0
and (-21 - h)² - (9 - h)² = 0 gives
60·h +360 = 0 or h = -6
Plugging in the value of h = -6 in equation (3) we get
(14 - (-6))² + (16 - k)² = r²
20² + (16 - k)² = r² .................(4)
similarly from equation (1) we get
(9 - (-6))² + (-19 - k)² = r²
15² + (-19 - k)² = r² ................(5)
Subtracting equation (5) from (4) gives
20² - 15² + (16 - k)² - (-19 - k)² = 0
Which gives
-70·k + 70 = 0
or k = 1
Therefore the coordinates of the base of the antenna = (-6. 1).
Mr.Hawkins gets two bonus payments every year this year his bonus payment was 1/4of his salary his second payment was 1/8 of his salary what is the fraction for his combined bonus payments?
Answer:
3/8
Step-by-step explanation:
1/4 + 1/8 = 2/8 + 1/8 = 3/8
After you give the fractions a common denominator, you can add their numerators to find the numerator of the result.
Mr. Hawkins's combined bonus payments are 3/8 of his salary.
least common multiple of 4, 8 and 2
Answer:
2
Step-by-step explanation:
your welcome
Answer:
2:2,4,6,8,10,12,14,16
4:4,8,12,16
8:8,16
the LCM is 16