(b) 40 * \(\frac{72}{360}\) = 40 * \(\frac{1}{5}\) = 8
(c) 360 - (72 + 144 + 81) = 360 - 297 = 63
(d) \(\frac{144}{360}\) = \(\frac{2}{5}\)
Ngl this is easy points yall
Answer:
\(-36z^{2}\)
Step-by-step explanation:
6 x (-6) = -36
zxz = \(z^{2}\)
=\(-36z^{2}\)
The height of Mount Rushmore is 5900 feet. What is the height of Mount Rushmore in centimeters? (1 in = 2.54 cm)
Answer:
The answer would be 179832 Centimeters
Step-by-step explanation:
Answer: mt rushmore is 5,725 ft
Step-by-step explanation:
What is the justification for step 1 in the solution process?
-22 − x = 5 + 6x + 9
Step 1: -22 − x = 14 + 6x
A.
the subtraction property of equality
B.
the multiplication property of equality
C.
the addition property of equality
D.
combining like terms
Answer:
D. combining like terms
Step-by-step explanation:
You are combining like terms by adding 5 and 9 together.
Factorise 3y^3-4xy+2y
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
what power do I need to raise both sides of the following equation to? x^4=81
Answer:
Rise it to 2
( x ^2 ) ^2 − 9 ^2 = 0
Step-by-step explanation:
A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?
Answer:
The balloon contains 456.3 kg of helium
Step-by-step explanation:
Density=mass / volume
Volume=2600 cubic meters of helium
Density=0.1755 kilograms per cubic meters
Mass=x
Find mass, x
Density=mass / volume
Mass=Density × volume
=0.1755 * 2600
=456.3 kg
The balloon contains 456.3 kg of helium
if it is accepted that an observed association is a causal one, an estimate of the impact that a successful preventive program might have can be derived from:
The estimate of the impact that a successful preventive program might have can be derived from
attributable risk.
What is an attributable risk?In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.
Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.
The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.
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Find both X and Y intercepts of the equation
#1- 4x+y=5
#2- x-y=1
#3- x+4y=8
Answer:
Water is a polar molecule because one area is ________________ and another area is ______________________.
Step-by-step explanation:
Answer:
1. y=5 x=1.25
2. y=-1 x=1
3. y=2 x=8
Step-by-step explanation:
put it in to a graphing calculator.
PLEASE HELP!
Multiple Choices. Which of the following fractions is equivalent to 6/15
A. 2/7
B. 4/10
C 1/2
D 1/4
Answer: 4/10
Step-by-step explanation:
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?
This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
Simplify: `\left(4g^{3}h^{4}\right)^{3}`
The expression \left(\(4g^{3}h^{4}\right)^{3}\)) can be simplified to \(64g^{9}h^{12}.\)
To simplify this expression, we raise each term inside the parentheses to the power of 3. For 4\(g^{3}\), we have \(4^{3}\) = 64 and \((g^{3})^{3}\)= \(g^{9}\), so we get \(64g^{9}\). Similarly, for \(h^{4}\), we have \((h^{4})^{3} = h^{12}\).
Combining these simplified terms, we have \(64g^{9}h^{12}\) as the final simplified form of the expression \left\((4g^{3}h^{4}\)\right)^{3}.
In summary, raising the expression\(4g^{3}h^{4}\) to the power of 3 simplifies to \(64g^{9}h^{12}\).
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Please answer quickly!
\(f(x) = 3 {x}^{2} - x + 5\)
thus ;
\(f( - 3) = 3 \times ({ - 3})^{2} - ( - 3) + 5\)
\(f( - 3) = 3 \times 9 + 3 + 5\)
\(f( - 3) = 27 + 8\)
\(f( - 3) = 35\)
_____________________________________________
\(f(4) = 3 \times ({4})^{2} - (4) + 5\)
\(f(4) = 3 \times 16 - 4 + 5\)
\(f(4) = 48 + 1\)
\(f(4) = 49\)
_____________________________________________
So :
\(2f( - 3) = 2 \times 35 = 70\)
And ,
\( - f(4) = - 49\)
so :
\(2f( - 3) - f(4) = \)
\(70 - 49 = \)
\(21\)
Theophylline is a pharmaceutical drug that is sometimes used to help with lung function. You observe a case where the lab results indicate that a sample of theophylline (initial concentration of 2.0 x 10-3 M) has been metabolized to a concentration of 1.0 x 10-3 M in 24 hours. In another 24 hours the drug concentration was 5.0 x 10-4 M. What is the rate of decomposition four (4) hours after the initial sample was taken
The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.
The fifth partial sum represents the sum of the first 5 terms in the sequence.
What is the partial sum of sequence?
The partial sum of a sequence gives the sum of the first n terms in the sequence.
Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.
The given geometric sequence :
$400, $420, $441, $463, and $486.
The fifth partial sum of the above sequence will be :
$400+ $420+ $441+$463+$486=$2210
Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.
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The rate of decomposition as per half life is 0.0000545 M.
what is half life?
A quantity's half-life t(1/2) is the amount of time needed for it to decrease to half of its initial value. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last. The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay). The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences. Half-opposite life's in exponential growth is time's doubling.Drug concentration decreases from 0.002M to 0.001M in 24 hours.
Again, Drug concentration decreases from 0.001M to 0.0005 M in subsequent 24 hours.
Therefore, t(1/2) = 24 hours
K= 0.693/t(1/2) = 0.693/24 = 0.028775 per hour.
K= 2.303/t Log (No/Nt)
Log(No/Nt) =Kt/2.303 =0.05015
No/Nt= Antilog (0.05015) = 1.1224
Nt= No/1.1224 = (0.0017818 M
Rate of decomposition as per half life is calculated as
(No-Nt)/t = 0.0000545 M
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I will give brainliest pls i need help
Which phrase describes the algebraic expression 3 x minus 4?
the sum of three times a number and four
four less than three times a number
the quotient of three times a number less four
the difference between four and three
Answer:
The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
if you were to design a class to represent a fraction, what 2 instance variables would be necessary?
The two necessary instance variables for representing a fraction would be the numerator and the denominator.
What are the essential instance variables for representing a fraction?The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.
These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.
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The population of Powerville is 425,000, and it is
increasing at a rate of 4.2% each year. Predict the
number of years until the population will be 750,000.
Round to two decimal places.
Answer:
See below
Step-by-step explanation:
750 000 = 425 000 ( 1 + .042)^n
.042 = decimal increase/year n = years
750 000 / 425 000 = 1.042^n
Take LOG of both sides
.2466 = n (.01786)
n=13.81 yrs
The required number of years until the population will be 13.81.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
Given that increasing at a rate of 4.2% each year
To predict the number of years until the population will be 750,000.
According to the given question, we can write the exponential function would be as
750000 = 425000 ( 1 + 0.042)ⁿ
750000 / 425000 = 1.042ⁿ
30/17 = 1.042ⁿ
1.76470 = 1.042ⁿ
Take logarithms of both sides,
log 1.76470 = log 1.042ⁿ
log 1.76470 = n log 1.042
log 1.76470/log 1.042 = n
n = 13.81
Thus, the required number of years until the population will be 13.81.
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The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?
Answer:
Step-by-step explanation:
I can tell you what it represents, but not what it means. Or maybe the units.
V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.
V = 4/3 * pi * r^3
V(5/7) = 4/3 * 3.14 * (5/7)^3
V(5/7) = 4/3 * 3.14 * 125 / 343
V(5/7) = 4/3 * 3.14 * 0.3644
V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)
Which relation is NOT a function?
{(10, –4), (–10, 14), (14, –10)}
{(–4, –10), (–2, –4), (–10, –1), (–1, –7), (1, 10), (–3, –1)}
{(–4, 10), (14, 3), (15, 14), (10, 3)}
{(11, 16), (12, 14), (14, 14), (11, 13), (21, 12)}
{(11, 16), (12, 14), (14, 14), (11, 13), (21, 12)}
This is because the the number 11, an x-value, is used twice and if an x-value is used more than once then it is not a function. A function is a relation between sets where there is only one output for each input
Be a kind soul and help me out please
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3
The probability of randomly choosing a number either divisible by 5 or divisible by 3 is 1/2.
What is the probability?
Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Numbers between 1 - 32 that are divisible by 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30Total number = 10 Numbers between 1 - 32 that are divisible by 5 = 5, 10, 15, 20, 25, 30Total number = 6Probability of randomly choosing a number either divisible by 5 or divisible by 3 = (numbers divisible by 3 / total number) + (numbers divisible by 5 / total number)
10/32 + 6/32 = 16/32= 1/2
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Answer:
7/16
Step-by-step explanation:
Help fast! What is the area ? To thiiiissss
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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8) Let R be a relation that is reflexive and transitive. Prove that R2 = R for any R with these two properties. 9) Suppose that the relation R is anti-reflexive. Is R2 necessarily anti-reflexive? Give a reason for your answer.
Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.
To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.
First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.
Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.
By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.
Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.
Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.
By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.
Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.
Therefore, (a, b) ∈ R implies (a, b) ∈ R2.
We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.
If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.
To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.
In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.
Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.
In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.
However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.
This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
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I NEED HELP PLEASE, THANKS! :)
Answer:
Graph A
Step-by-step explanation:
You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!
Answer: A (the first graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's
A = (x, y) → A⁻¹ = (y, x)
I took three points from the graph (labeled A, B, C) and found their inverse.
A = (-7, 0) → A⁻¹ = (0, -7)
B = (0, 7) → B⁻¹ = (7, 0)
C = (9, 9) → C⁻¹ = (9, 9)
see graph below
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2/2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated imagine?
Enter your answer by filling in the boxes.
The coordinates of B’ in the dilated image are B' (-16, -4).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:
Ordered pair A (0, 6) → Ordered pair A' (0 × 2, 6 × 2) = Ordered pair A' (0, 12).
Ordered pair B (-8, -2) → Ordered pair B' (-8 × 2, -2 × 2) = Ordered pair B' (-16, -4).
Ordered pair C (8, -2) → Ordered pair C' (8 × 2, -2 × 2) = Ordered pair C' (16, -4).
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Complete Question:
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated image?
By applying the substitution t = tan² 0 to B(x, y)= I 25 (sin 0)2x-1 (cos 0)2y-1de, show that dt B(x, y) = √o (1+t)x+y tx-1
The substitution that has been applied to B(x, y) is dt B(x, y) = √(1+t) (1+t)x+y tx-1.
The substitution that has been applied to B(x, y) is t = tan² 0
The substitution for x and y using the trigonometric identities is given by,
x = sin² 0 / cos² 0 = tan² 0 …(1)
y = sin² 0 …(2)
Differentiating both sides of equation (1) with respect to θ, we get
dx / dθ = 2tan 0 sec² 0
Putting the values of x and y in B(x, y), we get
B(x, y) = I 25 (sin 0)² (sin² 0 / cos² 0)-1 (cos 0)² (sin² 0)-1 dθ
= I 25 (sin 0)² / cos² 0 * cos² 0 / sin² 0 dθ
= I 25 tan² 0 dθ
= 25
∫ t dt √1+t
Now, we need to find the value of dt B(x, y) in terms of t.
To find dt B(x, y), we use the chain rule of differentiation and get
dt B(x, y) = ∂B/∂x dx/dt + ∂B/∂y dy/dt
= 25(2 sin 0 cos 0 sin² 0 / cos³ 0) * 2 sin 0 cos 0 sin 0 cos 0 dθ
= 100 (sin 0)³ (cos 0)³ / cos⁴ 0 dθ
= 100 (sin 0)³ / cos 0 dθ
Now, putting the values of x, y, and t, we get
dt B(x, y) = 100 sin³ 0 / cos 0 dθ
= 100 sin³ θ / cos θ dθ
Using the identity 1+t = sec² 0 or cos² 0 = 1 / (1+t), we can rewrite the above integral as
∫ 100 sin³ θ / cos θ dθ
= ∫ (1+t) (1+t)½ dt
Substituting the limits, we get
∫ 100 sin³ θ / cos θ dθ
= ∫ √(1+t) (1+t)x+y tx-1 dt
Answer: dt B(x, y) = √(1+t) (1+t)x+y tx-1.
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Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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PLEASE PLEASE HELP ME
A rhombus is a quadrilateral whose all sides are of equal length. The measure of the ∠QPR is 42°.
What is a Rhombus?A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.
The diagonals of a rhombus intersect each other at 90°. Therefore, the measure of ∠QTR can be written as,
∠QTR = 90°
(6y+6) = 90°
6y = 90 - 6
6y = 84
y = 14
Also, the diagonals of the rhombus divide the angle into two equal angles, therefore,
∠QPR = ∠SPR
∠QPR = 3y
∠QPR = 3(14)
∠QPR = 42°
Hence, the measure of the ∠QPR is 42°.
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Statistics show that there is a weak relationship between education and income. True or False
The given statement is: False
There is a strong relationship between education and income, contrary to the statement that suggests a weak relationship. Numerous studies have consistently shown that individuals with higher levels of education tend to have higher incomes compared to those with lower levels of education.
Education provides individuals with knowledge, skills, and qualifications that are valued in the job market. Higher levels of education, such as obtaining a college degree or advanced professional certifications, often lead to access to higher-paying job opportunities. Additionally, education can also enhance individuals' problem-solving abilities, critical thinking skills, and overall cognitive abilities, which are highly sought after by employers in many industries.
Moreover, education acts as a mechanism for social mobility, enabling individuals from disadvantaged backgrounds to overcome economic barriers. By acquiring a higher education, individuals can increase their chances of securing well-paying jobs, which, in turn, can lead to improved income levels and a higher standard of living.
It is important to note that while education is a significant factor in determining income, it is not the sole determinant. Other factors such as job experience, industry, location, and economic conditions also play a role in influencing income levels.
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A model car has a scale of 3 inches to 2 feet. The length of the actual car is 14 feet. What is the length of the model car in inches?
Answer:
21 inches
Step-by-step explanation:
The model has a scale of 3:2
Simplify 3:2
1.5:1
14 * 1.5 = 21
The length of the model car is 21 inches