Answer:
Step-by-step explanation:
I'm ASSUMING you want to find n where g(n) = 8
g(n) = a/n
g(4) = 9 = a/4
a = 36
g(n) = 8 = 36/n
n = 36/8 = 4.5
A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
For more questions on Distance .
https://brainly.com/question/30395212
#SPJ8
Solve x²-3x+ 5 = 0.
A.
3+√-29
+VE
2
and
3-
2
-29
B. 3+√29 and 3-√29
O c. 3+√-11 and 3-√-11
2
2
D. 3+√11 and 3-√11
Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.
What is the quadratic formula?The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.
In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.
So, we have the equation:
x²-3x+ 5 = 0
Now, solve it using the quadratic formula as follows:
x²-3x+ 5 = 0
a = 1
b = -3
c = 5
x = -(-3)±√(-3)² -4*1*5/2
Solve this further:
x = 3±√11/2
Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.
Know more about the quadratic formula here:
https://brainly.com/question/1214333
#SPJ1
Correct question:
Solve x²-3x+ 5 = 0.
A.3+√-29 +VE/2 and 3- 2-29
B. 3+√29 and 3-√29
C. 3+√-11 and 3-√-11/2
D. 3+√11/2 and 3-√11/2
Determine the net pay if gross pay was $546.54 and the following deductions were taken out. Federal tax $66.00, state tax
$21.86, Social Security $33.89, and Medicare $7.92.
Answer:
416.87, you subtract all from gross pay.
Step-by-step explanation:
546.54-66-21.86-33.89-7.92=416.87
Evaluate the expression for the given value of the variables.
0.5-1.7
c=15, d = 3
0.5c-1.7d = (Type an integer or a decimal.)
Since c=15 and d=3, we replace the c and d variables with 15 and 3.
0.5x15-1.7x3
0.5x15=7.5
1.7x3=5.1
Now subtract.
7.5-5.1=2.4
---
hope it helps
a tank truck holds 33.8 kl of oil. How many gallons does it hold
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
Read more on rotation here: brainly.com/question/28854313
#SPJ1
a cheetah has the ability to accelerate quickly in 3 seconds suppose a cheetah could travel 1.5 hours at top speed covering 11 1.9 miles. how far can a cheetah travel in 1 hr?
The cheetah will travel a distance of 74.6 miles in one hour.
How do you define the relation of speed, time and distance?Any moving object travels a certain distance over time. We can calculate the speed using these two parameters.
We all know that speed equals distance divided by time. The fundamental unit of speed would be meters per second or 'm'/'s'.However, speed can also be expressed in different units, including such meters per minute as well as kilometers per hour. Speed is usually expressed in kilometers per hour. It is critical to remember that all unit symbols are recorded in the singular.The rate of displacement is actually referred to as speed. These three entities are linked by a formula:
Speed = Distance/Time
The time taken by the cheetah to cover the distance of 111.9 miles is 1.5 hour.
Put the values;
Speed = 111.9/1.5
Speed = 74.6 miles/ hour
Therefore, the distance covered by the Cheetah in 1 hour is 74.6 miles.
To know more about relation of speed, time and distance, here
https://brainly.com/question/13771725
#SPJ9
would like some help with this thank you
The only function among the given options that has a rate of change that stays the same is Option A: y = -4x + 10.
In this context, a rate of change refers to how much the output of a function changes in response to a change in its input. The rate of change of a function is also known as the slope of its graph, which measures the steepness of the line connecting two points on the graph.
Now, let's look at the given functions and determine which one has a rate of change that stays the same.
The function y = -4x + 10 is a linear function, which means that its graph is a straight line.
The slope of a linear function is constant, which means that the rate of change of the function stays the same.
In this case, the slope is -4, which means that the output of the function decreases by 4 units for every 1 unit increase in its input.
Hence the correct option is (a).
To know more about rate of change here
https://brainly.com/question/29518179
#SPJ1
How do I do this problem?
Answer:
hey you can use scan and search
Answer:
I got : 0.42264973
Step-by-step explanation:
1/ -√3 + 1
-√3 = -1.73 ( 2 decimal place )
1/ -1.73 + 1
and found the answer
A church raffle has 25 cash prizes. If 350 tickets were sold for the raffle what is the probability of NOT winning a cash prize?
Here is Answer
Please Mark me brainlets
Answer:
Probability is 13/14 or 0.929
Step-by-step explanation:
Data :
Total tickets = 350
Cash prizes = 25
Formula for probability is
Probability = outcomes/sample space
P = 25/350 = 1/14 = 0.0714285714285
This is the probability of wining prizes
In order to find not wining probability ,minus the answer from 1 (one) because the ma imum probability a sample has is 1.
So
1-1/14 = (14-1)/14 = 13/14 = 0.9285714285714
Mark brainliest if you understand
Dan was the team’s star batter. He had a batting average of 60%. If Dan had 30 hits last summer, how many at bats did he have?
Answer:
50 bats total
Step-by-step explanation:
To solve this problem, all one has to do is, set up a proportion, remember, a proportion is;
\(\frac{part}{whole} = \frac{percent}{100}\)
In this case;
\(\frac{hits}{total.bats} = \frac{percent}{100}\)
It is given that;
percent - 60%
hits - 30
Now substitute in the values and solve;
\(\frac{30}{total.bats} = \frac{60}{100}\)
Solve, first simplify;
\(\frac{30}{total.bats} = \frac{3}{5}\)
Now use cross products;
150 = 3(total_bats)
Inverse operations;
150 = 3(total_bats)
/3 /3
50 = total_bats
calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00
Answer:
B
Step-by-step explanation:
600+125+175=900-400(deposit)=500
or
600-125-175-300-200=100+400=500
Brainliest Please :)
griswolds spent 3000 on clothes in 2017. if they increase the amount thye spend on clothes by 5% each year. how much money will they spend on clothing theough the year 2020
Answer:
$3,307.5
Step-by-step explanation:
It's 3000*1.05=3150
3150*1.05=3,307.5
Answer:
3472.875
Step-by-step explanation:
5% of 3000 is 150, therefore he spent 3150 in 2018.
5% of 3150 is 157.50 therefore he spent 3307.50 in 2019
5% of 3307.50 is 165.375 therefore he spent 3472,875 in 2020
2 2/3 as a fraction.
Answer: 8/3
Step-by-step explanation:
Explanation:
2
2
3
Split them,
2
+
2
3
Convert the first term into a fraction of denominator
3
,
6
3
+
2
3
Combine,
8
3
Answer:
8/3
Step-by-step explanation:
An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
Learn more about volume or capacity at https://brainly.com/question/463363
#SPJ1
Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
find a line that is parallel to y= 8x+10 and has a y intercept of 5
To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.
Answer y = 8x -5
Answer:
y = 8x -5
Step-by-step explanation:
Can you find out a harder question my child is so smart I can’t keep up with her
Answer:
what they currently going over?
453,193 what is the value of the 5
Answer:
50,000
Step-by-step explanation:
3 is in the ones place so 3
9 is in the tens place (90)
1 is in the hundreds place (100)
3is in the thousands place (3,000
A student solves the following problem:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: 6x−6=19
Step 3: 6x−6 + 6=19 + 6
Step 4: 6x=25
Step 5: 6x6=256
Step 6: x≈4.17
Where is the mistake? What did the student do incorrectly?
Responses
Step 3: Student should have subtracted 6 from both sides, not added 6.
Step 5: Student should have subtracted 6 from both sides, not divided by 6
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Answer:
error in Step 2
Step-by-step explanation:
2(x - 3) + 3x = 19
Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms
Step 2 : 5x - 6 = 19 ← add 6 to both sides
Step 3 : 5x - 6 + 6 = 19 + 6
Step 4 : 5x = 25 ← divide both sides by 5
Step 5 : x = 5
Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3
A line passes through the point (-10, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
More can be learned about functions at https://brainly.com/question/1415456
#SPJ1
b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.
Submit
Answer:
no it doesn't as no is variable.
what is 36 more than 40
Answer:
76.
Step-by-step explanation:
Forty "more" implies that you are adding forty to thirty-six. Making it seventy-six.
The number that is 36 more than 40 will be 76.
What is Algebra?Algebra is the analysis of abstract symbols, while reasoning is the manipulation of all those views.
The definition of unsophistication is making something simpler to achieve or grasp while also making it a little less difficult.
Let 'x' be the number that is 36 more than 40. Then the equation is given as,
x = 36 + 40
Add the number 36 and 40, then we have
x = 36 + 40
x = 76
The number that is 36 more than 40 will be 76.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Evalute 3n² - 8n - 9, given n(n - 3) = 10.
Answer:
19 or 26
Step-by-step explanation:
You want the value of 3n² -8n -9, given that n(n -3) = 10.
Values of nWe recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.
Expression in nThe value of 3n² -8n -9 will be one of ...
(3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2
or
(3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5
The expression 3n² -8n -9 will be either 19 or 26.
<95141404393>
A company makes steel rods shaped like cylinders. Each rod has a diameter of 6 centimeters and a height of 20 centimeters. If the company used 30520.8cm3 of steel, how many rods did it make?
As a result, the company produced number of rods are **56** rods.
What exactly is radius?
A radius is a section of a straight line in geometry that connects a circle's or sphere's center to its edge or surface Its length is divided by the circle's diameter by two.
Each rod has a diameter of 6 centimeters, hence the radius is 3 centimeters. Each rod has a 20-centimeter height.
The following formula can be used to determine a cylinder's volume:
V = πr²h
where V stands for volume, r for radius, which is equal to half of the diameter, and h for height.
Adding these values to the formula yields the following results:
V = π(3)²(20) (20)
V = 180π
The volume of each rod is therefore 180 cubic centimeters.
30520.8 cubic centimeters of steel were used to make how many rods?
To find out,
divide the total volume of steel by the volume of each rod:
30520.8 / (180π) ≈ **56** rods
To know more about radius visit:
brainly.com/question/17011950
#SPJ1
Please help meeeeeeeeeee
Answer:
A
Hope this helps
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Following y=mx+c
Gradient=-1/2
Y-intercept=-2
y=-1/2x-2
What is the smallest positive integer that can be multiplied times 18 to make a perfect cube?
Answer:
12
Step-by-step explanation:
To solve this, we need to apply the rule that (a × b)ⁿ = aⁿ × bⁿ
In other words, if we multiply two numbers that are raised to same power, we will get the same value as their product raised to that power.
In the case of 18, if we break it down to primary factors, we get:
3 × 3 × 2
= 3² × 2
To get a perfect cube, we need each of those factors to become a perfect cube as well. To do that we simply multiply by:
3 × 2² (which equals 12)
giving us:
3² × 2 × 3 × 2²
= 3³ × 2³
If we solve that we get:
= 27 × 8
= 216
which is the cube of 2 × 3, or 6³.
So the number you had to multiply by was 12.
Use an integer to represent the following.A voltage drop of 21 volts.
A reduction or drop is usually represented by a negative sign alongside the quantity of the drop.
In this case, the quantity of the drop is 21.
Hence, the integer used to represent the situation is:
\(-21\)Two boards are placed end to end to make a walkway. One board is 6 feet 11 inches long, and the other board is 5 feet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
The walkway is 11 feet 6 inches long.
To find the length of the walkway, we need to add the lengths of the two boards.
The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.
The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.
Now we can add the lengths of the two boards:
6 + 11/12 feet + 5 + 7/12 feet
= 11 + 6/12 feet
=11 + 1/2 feet
Therefore, the walkway is 11 feet 6 inches long.
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ1