A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 37.4 feet.
She then ascends 19.8 feet.
Next, she descends a second time, 8.4 feet.
How many feet must she now rise to get back to sea level?
Answer:
To get back to sea level, the scientist must now rise a total of 19.2 feet. This is calculated by subtracting the total amount of feet she has descended (37.4 + 8.4 = 45.8 feet) from the total amount of feet she has traveled (37.4 + 19.8 + 8.4 = 65.6 feet). Therefore, 19.2 feet (65.6 - 45.8) must be ascended in order to reach sea level.
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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What is the height in feet geometry
The height of the zip line is 203 feet.
What are trigonometric functions?Trigonometric functions are required when the value of an unknown side or internal angle of a right triangle are to be determined. Some of the basic functions are: sine, cosine, tangent etc.
Tangent of an angle is the ration of the opposite side to the angle and the adjacent side.
Tan θ = opposite/ adjacent
To determine the height of the zip line required in the question, we have;
let the height be represented by h,
Tan θ = opposite/ adjacent
Tan 10 = h/ 1150
h = Tan 10 * 1150
= 0.1763*1150
= 202.745
h = 202.8 feet
The height of the zip line is 203 feet.
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Where did jack and nolan meet? Y=-1/2x+4 y=3x-3
As a result, Jack and Nolan met at the point (2, 3).
How to get the equation ?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.[2][3] The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
We need to find the point where the two lines intersect to determine where Jack and Nolan met.
The following equations are provided:
y = (-1/2)x + 4, as well as y = 3x - 3.
We can solve for x by making the two equations equal:
(-1/2)x + 4 = 3x - 3
Simplifying the problem:
7/2)x = 7
x = 2
We can find y by substituting x = 2 into either equation:
y = (-1/2)(2) + 4 = 3
As a result, Jack and Nolan met at the point (2, 3).
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Graph the function g(x)= 1/4x+4
The given function is
\(g(x)=\frac{1}{4}x+4\)First, we make x = 0.
\(g(0)=\frac{1}{4}\cdot0+4=0+4=4\)Second, we make g(x) = 0.
\(\begin{gathered} 0=\frac{1}{4}x+4 \\ -4=\frac{1}{4}x \\ x=-16 \end{gathered}\)Third, we graph the points (0, 4) and (-16, 0).
At last, we draw the line through the points to get the line.
what is the significance of a pedigree symbol consisting of a square with a diagonal slash mark through it?
The significance of a pedigree symbol consisting of a square with a diagonal slash mark through it is that it represents the male members of the family
It is a standard symbol in a pedigree chart. This symbol represents the sex of a person, in this case, it represents the male sex. In other words, a square with a diagonal slash mark through it is used to represent the male gender in pedigree charts.
A pedigree chart is a diagram that shows the genetic relationships between individuals in a family. It is used to track genetic diseases or traits through generations. A pedigree chart can provide information about a family's medical history and can help doctors to understand how genetic disorders are inherited from one generation to the next. Each symbol used in the pedigree chart has a specific meaning.
The squares represent males while the circles represent females. The horizontal line between two symbols represents marriage, and the vertical line from a symbol represents a child of that union.
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What is the area of δabc? round to the nearest tenth of a square unit. 3.9 square units 8.4 square units 11.8 square units 17.7 square units
The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,
Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:
A = √[s(s-a)(s-b)(s-c)]
Where s is one-half of the triangle's circumference and a, b, and c are its three sides.
By summing the triangle's sides, we can determine the perimeter:
P = a + b + c
The formula below is used to get the other half of the perimeter.
s = P/2
For the triangle ABC, we have the sides a=3, b=5, and c=4.
Therefore, half of the perimeter is s = 8.
Now, Heron's formula can be used to determine the triangle ABC's surface area:
A = √[s(s-a)(s-b)(s-c)]
= √[8(8-3)(8-5)(8-4)]
= √[8(5)(3)(4)]
= 17.7 square units
Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.
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Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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HOW TO DO THIS QUESTION PLEASE
Answer:
b = -10
c = 25
Step-by-step explanation:
Since the only solution to x is 5 that mean answer will look something like this:
(x-5) (x-5) = 0
x(x-5) -5(x-5)
x^2 -5x -5x + 25
x^2 -10x + 25
This is same as x^2 + bx + c = 0
where b is -10 and c is 25
help pleassee!!!!!!!
Answer:
The correct answer is 5.672 x 10^3
Step-by-step explanation:
change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3
\(x^{2}. x-2 x^{3}\)
Answer:
- x³
Step-by-step explanation:
x² × x - 2x³
= x³ - 2x³
= - x³
Write 56% as a fraction in simplest form.
Answer:
\(\frac{14}{25}\)
Step-by-step explanation:
per cent means 'out of 100 ' , then
56%
= \(\frac{56}{100}\) ( divide numerator/ denominator by 4 )
= \(\frac{14}{25}\) ← in simplest form
the distribution of prices for a certain car model is approximately normal with mean $21,800 and standard deviation $400. a random sample of 4 cars of the model will be selected. what is the correct unit of measure for the mean of the sampling distribution of x¯ ?
The required unit of the measure of the mean is given in Dollars. Option A is correct.
Given that:
The distribution of prices for a certain car model is approximately normal with a mean of $21,800 and a standard deviation of $400. A random sample of 4 cars of the model will be selected.
The correct unit of measure for the mean of the sampling distribution of the price of the car is to be determined,
The mean of the values is the ratio of the total sum of values to the number of values.
Since the given data is of price in dollars so the measure of the mean will also be taken in Dollars because the mean is defined as the sum of all the values in a particular unit divided by the total number of different quantities.
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A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r?
A. π x r^2
B. π x r^2 + 10
C. π x r^2 + 1/4 x π x r^2
D. π x r^2 + (40 - 2 π x r)^2
E. π x r^2 + (10 - 1/2 π x r)^2
Option E. πr² + (10-πr/2)² is Correct.
Area of the circle?
The area of a circle is the amount of space contained within its circumference. It is determined using the formula A = πr^2, where A is the area, r is the radius of the circle (the distance from the center of the circle to any point on its circumference), and π (pi) is a mathematical constant approximately equal to 3.14159.
The area of the circle is given by:
= πr²
= area, r = radius
One piece of wire is used to form the circumference of the circle. The circumference of the circle is given by:
C = 2πr
C = circumference, r = radius
The other piece of wire is used to form the perimeter of the square. To find the length of this piece, simply subtract C from the total length of the wire, 40m:
40 - 2πr
The perimeter of the square is 4 times the length of one of its sides:
P = 4s
P = perimeter, s = side length
We know the perimeter is the length of the second piece of wire 40 - 2πr:
40 - 2πr = 4s
s = 10-πr/2
The area of the square is given by:
As= s², where s = side length
s = 10-πr/2, so plug in s and solve for As:
As = (10-πr/2)²
Now that we have the areas of the circle and the square, let's add them up to find the total area:
Ac + As
= πr² + (10-πr/2)²
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A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars
Answer:
$18
Step-by-step explanation:
small -$3
large - $15
3+15=18
Answer: The equation is $3 + ($3 x 5)
Step-by-step explanation:
You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.
gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?
Below is the answer
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dentify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. To determine her air qualityair quality, MirandaMiranda divides up her day into three parts: morning, afternoon, and evening. She then measures her air qualityair quality at 33 randomly selected times during each part of the day. What type of sampling is used?
Answer:
The sampling method used is a stratified sampling method
Step-by-step explanation:
sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.
Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.
WILL MARK BRAINLIST PLZ HELP OWO
Answer:
draw 4line on the timeline then on the 3rd line write 3/4 and the on the second line write 2/3
Step-by-step explanation:
hope this helps UwU
Nina walks on the path around the pond at the city park.
When she walks around the path one time, Nina has completed one lap.
The table shows the distance Nina walks based on the number of laps she completes.
Answer: 0.5
Step-by-step explanation:
Answer:
First answer: 0.5
Second answer: 0.5
Third answer: show
Step-by-step explanation:
Given the function y = √√x - 5 Type in the ordered pair to show the x-intercept of
the function. Type it in using the (x,y) format. Hint: Replace y with 0
Need #15
The x-intercept of the function as an ordered pair is equal to (5, 0).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
In this context, we would replace the y-value with zero (0) by substituting it into the given equation y = ∛x - 5 as follows;
y = ∛x - 5
0 = ∛x - 5
Taking the cube root of both sides of the function, we have the following:
0 = x - 5
x = 5
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An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,
Answer:
The correct answer is "the term number, n."
Step-by-step explanation:
Answer:
Step-by-step explanation:
on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%
Latisha wants to buy pumpkins and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each. Let p represent pumpkins and s represent squash. Which system of linear inequalities represents this scenario?
A system of linear inequalities that represents this scenario is given by:
p + s ≥ 10
5.50p + 3.50s ≤ 117
What is an inequality?An inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Less than (<).In order to write a system of linear inequalities to represent the scenario, we would assign variables to the cost of the beginner class and advanced class, and then translate the word problem into algebraic equation as follows:
Let the variable p represent the number of pumpkins.Let the variable s represent the number of squash.Since Latisha cannot buy more than (≥) 10 vegetables, the inequality to represent this is as follows:
p + s ≥ 10
Since Latisha's budget cannot exceed (≤) $117, the inequality to represent this is as follows:
5.50p + 3.50s ≤ 117
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Let U = {1, 2, 4, 5, a, b, c, d, e) Find the complement of the set: R = {1, 2,5, b, d} A. (3, 4, a, c, e) B. None of these answers C. (3,4, a, b, c, e) D. [4, a, c, e) E. [4, a, b, c, e)
The answer is option D: [4, a, c, e). The complement of a set R contains all the elements of the universal set U that are not in R.
The complement of a set R contains all the elements of the universal set U that are not in R.
Given, U = {1, 2, 4, 5, a, b, c, d, e} and R = {1, 2, 5, b, d}
The complement of a set contains all the elements that are not in the original set. The complement of set R would include all the elements of U that are not in R.
The elements in set R are: {1, 2, 5, b, d}
The complement of set R would be: {4, a, c, e}
The complement of set R, denoted by R', is:
R' = U - R
That is, we remove all the elements of R from U to get R'. So we have:
U = {1, 2, 4, 5, a, b, c, d, e}
R = {1, 2, 5, b, d}
R' = {4, a, c, e}
Therefore, the answer is option D: [4, a, c, e).
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Can you help me with these 3?
Step-by-step explanation:
1. 5,11,17,23,29,35
Common difference is 6
3. 8,21,34, 47,60
Common difference is 13
5. 5,10,15,20,25
Common difference is 5
provides a means by which a population of motor neurons can maintain constant force over a finite time interval.
Provides a means by which a population of motor neurons can maintain constant force over a finite time interval.
What is the term that refers to a motor neuron and all of the muscle fibers it causes to contract when it fires?
The combination of an individual motor neuron and all of the muscle fibers that it innervates is called a motor unit. The number of fibers innervated by a motor unit is called its innervation ratio.What controls the motor neuron?
The activity of motor neurons is modulated by a network of other neurons, located within the spinal cord and the brain. These networks are known as motor circuits and are responsible for complex behaviors such as locomotion.Learn more about motor neuron
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Direction: Choose the letter of the best answer and we
on your ans
1) Given f(x) = 2x - 5 & g(x) = 3x +4, solve for (gof)(x).
C. 6x - 11
11 - 6
Answer:
C
Step-by-step explanation:
To find (g ○ f)(x), substitute x = f(x) into g(x) , that is
g(2x - 5)
= 3(2x - 5) + 4
= 6x - 15 + 4
= 6x - 11 → C
Six times the smaller of two numbers minus the larger number is –15. Thirteen more than twice the smaller number is three times the larger number.
The equations smaller number is -2 and the larger number is 3.
The smaller number as "x" and the larger number as "y". Based on the given information the following equations:
Six times the smaller number minus the larger number is -15:
6x - y = -15
Thirteen more than twice the smaller number is three times the larger number:
2x + 13 = 3y
A system of two equations use various methods, such as substitution or elimination.
use the substitution method to solve the system:
From equation 2),
2x - 3y = -13
express 6x from equation 1) in terms of y:
6x = -15 + y
x = (-15 + y) / 6
Substituting this value of x into equation 2)
2((-15 + y) / 6) - 3y = -13
Simplifying and solving this equation
(-30 + 2y) - 18y = -78
-16y = -48
y = 3
Substituting the value of y back into equation 1), find the value of x:
6x - 3 = -15
6x = -12
x = -2
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a ferris wheel 50 ft in diameter makes one revolution every 40 sec. if the center of the wheel is 30 ft above the ground, how long after reaching the low point is a rider 50 ft above the ground
So, it will take the rider 5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.
The circumference of the ferris wheel is equal to the diameter times pi, or 50*pi=157.08 ft. Since the ferris wheel makes one revolution every 40 seconds, the speed of the ferris wheel is 157.08/40=3.92 ft/sec.
Since the rider starts at a height of 30 ft above the ground and ends up 50 ft above the ground, the total change in height is 50-30=20 ft. Since the speed of the ferris wheel is 3.92 ft/sec, it will take the rider 20/3.92=5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.
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a phone service provider offers two international plans. plan a: $25 per month and 5 cents per minute. plan b: $5 per month and 12 cents per minute. for what range of minutes of international calls would plan b save you money?
plan b would save you money for international calls of less than 285.7 minutes.
To determine the range of minutes for which plan b would save you money, we need to find the point at which the cost of plan b becomes less than the cost of plan a.
Let's assume x represents the number of minutes.
For plan a, the cost is $25 per month plus 5 cents per minute, which can be expressed as 25 + 0.05x.
For plan b, the cost is $5 per month plus 12 cents per minute, which can be expressed as 5 + 0.12x.
To find the range, we need to solve the inequality 5 + 0.12x < 25 + 0.05x.
Simplifying, we get 0.12x - 0.05x < 25 - 5, which becomes 0.07x < 20.
Dividing both sides by 0.07, we find x < 285.7.
Therefore, plan b would save you money for any range of minutes less than 285.7 minutes.
In conclusion, plan b would save you money for international calls of less than 285.7 minutes.
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help me please I'm bad at math
Answer:
123
Step-by-step explanation:
Large rectangle:
8 - 3 = 5
5 × 4 × 3 = 20 × 3 = 60
Smaller rectangle:
3 × 3 × 7 = 9 × 7 = 63
Both:
63 + 60 = 123
Hope this helped.