The truth about the position of the student scuba diving using absolute value concept is;
D. The student is 3.75 ft below sea level, and the absolute value is 3.75 ft.
How to interpret the absolute value?The absolute value (or modulus) | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Thus, if negative 3.75 is marked on the number line, from the given options, we can say that if we apply the definition above that |-3.75| = 3.75ft below the sea level
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find the width of a rectangle with perimeter of 64cm and. length of 18 cm
A rectangular piece of paper has a 64 cm perimeter. The width is 8 cm if the length is three times.
What is a perimeter?A perimeter is a closed path that encompasses, surrounds, or delineates something, whether it be a two-dimensional shape or a one-dimensional length.A circle's or an ellipse's circumference is its furthest boundary. There are various useful situations where knowing the perimeter is useful. The radius of a shape's edge is known as the perimeter. Discover how to calculate a shape's perimeter by multiplying its side lengths.The measurement of a shape's perimeter is its length. It takes adding the lengths of all four sides to determine a rectangle's or square's perimeter.The correct option is A 8 cm
Given: Perimeter of a rectangular piece of paper = 64 cm
Length =3 × Width
Let the width be x cm
[tex]\Rightarrow$ Length $=3 \times \mathrm{cm}[/tex]
[tex]\because$ Perimeter $=2($ length $+$ width $)=2(3 x+x)=8 x \mathrm{~cm}$[/tex]
[tex]$\Rightarrow 8 x=64 \Rightarrow x=8$[/tex]
[tex]\therefore$ Width is $8 \mathrm{~cm}$[/tex]
The complete question is:
The perimeter of a rectangular piece of paper is 64 cm. If the length is three times its width, find its width.
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Task 6
misc. 7%
gifts &
entertainment
12%
clothes 5%
savings
10%
debt 5%
housing 30%
Spending Guidelines
(% of net incomes)
food 20%
transportation
11%
Brenna has a job where she makes a
net semimonthly income of $2,640.
She lives in an apartment where rent
is cheap at $800 per month and heat
is included. Her electricity bill
averages $90 per month.
1: What is Brenna's monthly net income?
2: How much does she spend on housing
per month?
3: If Brenna puts the money she saves on
housing in a savings account, how much
will she save each month? Each year?
Brenna's monthly net income is $2,640.
What is Brenna's monthly net income?Brenna spends $800 per month on housing.If Brenna puts the money she saves on housing in a savings account, she will save $800 per month and $9,600 per year.Brenna's monthly net income is $2,640.This figure is calculated by taking her semimonthly net income of $2,640 and multiplying it by two since she is paid semimonthly.Brenna spends $800 per month on housing.This figure is calculated by multiplying her rent of $800 by one since she does not need to worry about heating costs. If Brenna puts the money she saves on housing in a savings account, she will save $800 per month and $9,600 per year.This figure is calculated by taking her monthly housing costs of $800 and multiplying it by twelve since she will not be spending it every month.This money can then be put into a savings account to earn interest and grow over time.To learn more about budgeting refer to:
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the equation of line y=-4x pass through the origin of coordinates
True, line y = -4x passes through the origin of coordinates.
Graph of the line is attached below.
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
Given equation of the line,
y = -4x
Line passes through the origin
So, Coordinates of the origin (0, 0) should satisfy the above equation.
0 = -4(0)
0 = 0
LHS = RHS
Hence, line y=-4x pass through the origin of coordinates.
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In spherical geometry, state an equality involving the sum of the angles of a triangle, using x, y, and x as the angles. Find a formula for the area of a triangle in spherical geometry. Help pls I’m desperate.
Answer:
In spherical geometry, the sum of the angles of a triangle is always greater than 180 degrees. The formula for this is:
x + y + z > 180 degrees
where x, y, and z are the angles of the triangle.
The formula for the area of a triangle in spherical geometry is given by:
A = R^2 * (θ1 + θ2 + θ3 - π)
Where A is the area of the triangle, R is the radius of the sphere, θ1, θ2, θ3 are the angles of the triangle in radians, and π is the constant pi.
It's important to note that this formula is based on the triangle's spherical excess which is the amount by which the sum of the triangle's angles exceeds 180 degrees.
a) The inequality is,
⇒ x + y + z > 180°
b) Area of spherical ΔXYZ is,
⇒ A = r² (α + β + у - pi),
where, r is the radius of the sphere and α, β, and y are the angles of the triangle in radians.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, the sum of the angles of a triangle is greater than 180 degrees.
Hence, The actual sum of the angles is given by;
x + y + z = π + A,
where A is the area of the triangle measured in radians.
And, As for the formula for the area of a triangle in spherical geometry, it is given by the formula;
⇒ A = r² (α + β + у - pi),
where, r is the radius of the sphere and α, β, and y are the angles of the triangle in radians.
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Maggie and her classmates are making cupcakes in baking class. Their teacher divides a bag of candy flowers evenly among 6 students at the table. Each student gets 3 candy flowers to use for decorating.
In linear equation, Each student, including Maggie, will receive 3 candy flowers to use for decorating their cupcakes.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
6 students * 3 candy flowers/student = 18 candy flowers.
This is 18 candy flowers / 6 students = 3 candy flowers/student.
Each student, including Maggie, will receive 3 candy flowers to use for decorating their cupcakes.
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Think back to the interest rates you wrote down for federal loans in
Resource #6. How did those interest rates compare to those you saw for
private loans in the 2nd article you read? Were the private loan interest
rates surprising to you? Why or why not?
Answer:
Step-by-step explanation:
u cant explain it
Describe the location of the given points in relation to the origin 1. (3, -2, 1) 2. (-2, 1, -4)
The area of a diving board is 40 square feet. The perimeter is 44 feet. What are the dimensions of the diving board?
Answer:
diving board has a length of 20 feet and a width of 2 feet
Step-by-step explanation:
diving board has a length of 20 feet and a width of 2 feet
Area = length (l) x width (w)
lw = 40
Perimeter = 2l + 2w
we can solve for 'l' and have:
l = 40/w
now substitute 40/w in for 'l' in the perimeter formula to get:
2(40/w) + 2w = 44
distribute through by 2 to get:
80w + 2w² = 44w
we can create the quadratic equation: 2w²-44w + 80 = 0
we can factor out a 2 to get:
2(w² - 22w + 40) = 0
2(w-20)(w-2) = 0
w = 20 and 2
what is a Mandelbrot set?
Salut/Hello!
Answer:
The Mandelbrot set is the set of values [tex]c[/tex] in the complex plane for which the orbit of the critical point [tex]z = 0[/tex] under iteration of the quadratic map
[tex]z_{n+1} = z_{n}^{2} + c[/tex] remains bounded.
I hope it was helpful! :]
Answer:
A Mandelbrot set is a mathematical set of points in the complex plane, the boundary of which forms a fractal shape. The set is composed of all complex numbers c for which the complex-valued iterative equation zn+1 = zn2 + c does not tend to infinity as n tends to infinity. The set is named after the mathematician Benoit Mandelbrot, who studied it in the 1970s and is considered to be one of the most famous and studied fractal shapes in mathematics.
Calculate the degrees of freedom for a one-sample t test with 2,822 U.S. adults between the ages of 15 and 64 in the sample.o
The degrees of freedom for a one-sample t test with 2,822 U.S. adults in the sample is 2821.
What is the calculation of degrees of freedom for a one-sample t test with 2,822 U.S. adults?The degrees of freedom (df) for a one-sample t test with 2,822 U.S. adults as the sample size can be calculated as follows:Step by step explanation:The degrees of freedom (df) is the number of independent observations in the sample that can be used to estimate the population parameters.In a one-sample t test, the sample size (n) is subtracted from the degrees of freedom.Therefore, df = n - 1 = 2822 - 1 = 2821.So the degrees of freedom for a one-sample t test with 2,822 U.S. adults in the sample is 2821.To learn more about degree of freedom refer:
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In each of the following scenarios, select the appropriate scale of measurement. a. A meteorologist records the amount of monthly rainfall over the past year.
A. Nominal B. Ordinal C. Interval D. Ratio b. A ski resort records the dally temperature daring the month of Januiry. A. Nominal B. Ordinal C. Interval D. Ratio
c. A restaurant surveys its customers about the qualty of lts waiting staff pin a scale of 1 to 4 where 1 is poor and 4 is excelient. A. Nominat B. Ordinal C. interval D. Ratio
In each of the following scenarios, the appropriate scale of measurement is given below.
What is ratio?
The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Nominal - naming or labeling
Ordinal - a rating of sorts
Interval - the ability to organize data into intervals
Ratio - Zero is the strongest level of measurement and is significant.
A meteorologist records the amount of monthly rainfall over the past year = Ratio.
A ski resort records the daily temperature during the month of January = Interval.
A restaurant surveys its customers about the quality of its waiting staff on a scale of 1 to 4, where 1 is poor and 4 is excellent = Ordinal
Therefore, all the appropriate measurements are given above.
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Choose the most convenient method to graph the line x−y=1.
A camera has a listed price of $704.95 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included.
Answer:
773.68
Step-by-step explanation:
1.0975*704.95 ~= $773.68
Answer:
Step-by-step explanation:
camera listed price $704.95
sales tax rate is 9.75%
total price with tax will be
$704.95×(1+9.75%) = $773.68
enter a whole number or decimal number, or DNE for does not exist or undefined.
19. An event that is certain to occur has a probability of _________________.
An event that is certain to occur has a probability of 1
What is probability in math?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
Hence we an say that 0 and 1 are two extreme values in probability.
When an even is certain to occur the probability is 1 however when the event will not occur the probability is zero.
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40 points for 2 questions.
Please help me :)
3 persons A, B, C independently fire at a target. What is the probability that
a. Exactly one of them hits the target,
b. At least one of them hits the target?
Given: Probability of hitting the target. P(A) = 2/5, P(B) = 1/4, P(C) = 1/2.
2. Company provides to their clients the following products: accidental insurance and
health insurance.
If 55% of male clients opt for accidental insurance and 65% of female clients opt for
health insurance, then what is the probability that health insurance contract is chosen if
60% of the company’s clients are females?
The probabilities are given as follows:
1. a. Exactly one hits the target: 7/20.
1. b. At least one hits the target: 31/40.
2. Health insurance is chosen: 0.57 = 57%.
How to obtain the probabilities?The outcomes with exactly one person hitting the target are given as follows:
A hits (3/5 probability), while B and C do not (3/4 and 1/2 probability).B hits (1/4 probability), while A and C do not (2/5 and 1/2 probability).C hits (1/2 probability), while B and C do not (3/4 and 1/2 probability).Hence the probability is obtained as follows:
p = 3/5 x 3/4 x 1/2 + 1/4 x 2/5 x 1/2 + 1/2 x 3/4 x 1/2
p = 9/40 + 2/40 + 3/40
p = 14/40
p = 7/20.
The probability that none hits the target is of:
3/5 x 3/4 x 1/2 = 9/40.
Hence the probability of at least one hitting is of:
1 - 9/40 = 40/40 - 9/40 = 31/40.
The percentages associated with health insurance are given as follows:
45% of 40% (male clients).65% of 60% (female clients).Hence:
p = 0.45 x 0.4 + 0.65 x 0.6
p = 0.57.
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According to current prices 1.7 grams of gold is worth the same amount as 130 grams of
silver. How much gold would 1000 grams of silver be worth? How much silver would 10
grams of gold be worth?
Step-by-step explanation:
If 1.7 grams of gold is worth the same as 130 grams of silver, then 1000 grams of silver would be worth approximately 588.24 grams of gold.
To find out how much silver would 10 grams of gold be worth, you need to divide the value of the gold by the value of the silver. According to the information you've provided, 10 grams of gold is worth 130 grams of silver.
Given that f(x) = 5x + 4 and g(x)=x³, find (fog)(-5).
Answer:
Step-by-step explanation:
fog)oh(x) = fo(goh)x. 3) If f(x) and g(x) are one-one functions, then gof(x) is also one-one function. 4) If f(x) and g(x) are on-to functions, then gof(x) is also on-to function. 5) If f(x) and g(x) are bijective functions, then gof(x) is also a bijective function.
