Answer:
x= -2
Step-by-step explanation:
A square number is the result when a number has been multiplied by itself
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.
Answer:
45 is the father's age
Step-by-step explanation:
What type of number is -4/2?
Choose all answers that apply:
(Choice A) Whole number
(Choice B) Integer
(Choice C) Rational
(Choice D) Irrational
Answer:
The type of number that represents -4/2 is:
Choice B) Integer
Choice C) Rational
Step-by-step explanation:
The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.
-4/2 is an :
↬ Integer ↬ Rational numberSolution:
Before we make any decisions about the type of number -4/2 is, let's simplify it first.
It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?
______________
Whole numbersThis set incorporates only positive numbers and zero. So -2 doesn't belong here.
IntegersThis set incorporates whole numbers and negative numbers. So -2 belongs here.
RationalsThis set has integers, fractions, and decimals. So -2 does belong here too.
IrrationalsThis is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.
Summary-4/2 belongs in the integer and rationals set.
Hence, Choices B and C are correct.the circumference of a circle is 18.84 in. What is the circle's diameter?
Answer:
6
Step-by-step explanation:
you do 18.84 and divide that by 3.14 and you will get 6 which is the diameter of the circle
Does anybody know this ???
Answer: E
Step-by-step explanation: An integer is a whole number ( that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and -3. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
how many cubic millimeters are in a cubic centimeter?
1000 cubic millimeters are in a cubic centimeter.
'What is cubic centimeter?'
There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.
For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.
The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.
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what is the term and definition for coordinate plane
Answer: Coordinate Plane or Cartesian Plane. A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis. x axis. the horizontal axis in a coordinate plane. y axis.
plz mark me as brainliest
Joana alugou um carro para fazer uma viagem de 36km sabendo q o carro percorre 12 km cm 1litro custa
Answer:
3 litros
Step-by-step explanation:
Joana alugou um carro para fazer uma viagem de 36km sabendo que o carro percorre 12 km cm 1 litro custa
Da pergunta:
12 km = 1 litro
36km = x
Cross Multiply.
12x = 36 × 1
x = 36/12
x = 3 litros
Find the slope of the line that goes through the points (9,-13) and (7,3).
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
(3 - (-13) ) / ( 7 - 9) = (3 +13) / -2 = 16/-2 = - 16/2 = -8
slope is -8
Answer:
-8
Step-by-step explanation:
The slope formula is as follows:
m = y2 - y1 / x2 - x2
You would first plug in the points into the formula, and this is what you would get:
m = 3 - (-13) / 7 - 9
From there, because of additive inverse, the negative signs would become + signs.
m = 3 + 13 / 7 - 9
You would now add/subtract.
m = 16 / -2
And lastly, you would simplify.
m = 8/-1
8/-1 is the same thing as a slope of -8.
what is 1 5/6 + 2 3/4
Answer: 4 and 7 over 124
7
12
≈4.583
Step-by-step explanation: im trying to get my first brainliest
Answer:
55/12 or 4 7/12 in mixed number form
Step-by-step explanation:
turn everything into improper fraction
11/6 +11/4
44/24+66/24 = 110/24 = 55/12 = 4 7/12
2 QUESTIONS
You don't need to answer both of them, but please include answer + explanation for at least one of them
Answer:
bh + L(S1 + S2 + h)
Step-by-step explanation:
b stands for the bottom edge of the base triangle
h is the height of the base triangle
L is the length of the prism
S1 and S2 are the two edges of the base triangle
bh is the combined area of the two triangular faces
L(S1 + S2 + h) is the area of the three rectangular side faces
x^3=-115 pleasess i need the answer now
Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?
Answer:
It has won 15 games.
Step-by-step explanation:
24*.625=15
PLEASE help me. I am stuck on this question for a long time.
Answer:
b.28% of the patients tested received the medication and experienced a decrease in blood pressure
Answer:
The second one
Step-by-step explanation:
The total of patients is 100% wich is equivalent to 1.
● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.
The intersection of both is worth 0.28
So out of 1, 0.28 took medication and experienced a blood pressure decrease
find the standard deviations for the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value. which has the smallest standard deviation? select the correct answer below: commercial total assessed land value residential total assessed land value residential total assessed parcel value commercial total assessed parcel value
The residential buildings' total assessed land value has the smallest standard deviation.
To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.
Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.
In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.
Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.
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What is -3 13/20 in a rational number as a decimal
Answer:
your answer to your question is −3.65
Step-by-step explanation:
Answer:
-3.65.
Step-by-step explanation:
13/20 = 0.65
- 3 13/20 = -3.65.
(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0
(1−r/R)
rho(r)=0
for r≤R
for r>R
where rho 0
=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]
To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:
ρ(r) = ρ₀(1 - r/R) for r ≤ R,
ρ(r) = 0 for r > R,
where ρ₀ = 3Q/πR³.
To find the total charge, we integrate ρ(r) over the volume:
Q = ∫ρ(r) dV,
where dV represents the volume element.
Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.
The integral becomes:
Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.
Evaluating this integral gives:
Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.
Simplifying further, we get:
Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].
Simplifying the expression inside the parentheses:
Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].
Simplifying once more:
Q = ρ₀ * π * (R³ - R³/3),
Q = ρ₀ * π * (2R³/3),
Q = (3Q/πR³) * π * (2R³/3),
Q = 2Q.
Therefore, the total charge contained in the charge distribution is Q.
To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.
By Gauss's law, the electric field through a closed surface is given by:
∮E · dA = (1/ε₀) * Qenc,
where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.
Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.
For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q,
Simplifying:
E = Q / (4πε₀r²).
This is the same expression as the electric field created by a point charge Q at the origin (r = 0).
To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.
The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.
By Gauss's law, we have:
∮E · dA = (1/ε₀) * Qenc.
Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q.
Simplifying:
E = Q / (4πε₀r²).
This expression represents the electric field inside the charge distribution for r ≤ R.
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6.247 * 10 to the twelfth power in standard form
Answer: 6,247,000,000,000
Step-by-step explanation:
Here we have the number:
6.247x10^12 and we want to write this in standard form.
You can see that we have a 10^12, this means that we need to move the decimal dot 12 places to the right, if there is not a decimal to the right, we add a zero.
6.247x10^12 = 62.47x10^11 = 624.7x10^10 = 6,247x10^9 = 62,470x10^8 and so on.
eventually, the standard form is:
6.247x10^12 = 6,247,000,000,000
So we end with 12 digits after the six.
Perform the below calculations and round to the correct number of decimals/sig. figs. a. 12.5849+2.4 b. 432.5−24.3984 c. 246×1.5 d. 974.59/14.2
He answers rounded to the correct number of decimals/sig. figs are:a. 15.0 b. 408.1 c. 369 d. 68.65
a. 12.5849+2.4Adding 12.5849 and 2.4 gives: 15. 0 (rounded to one decimal place) b. 432.5−24.3984Subtracting 24.3984 from 432.5 gives: 408. 1 (rounded to one decimal place) c. 246×1.5Multiplying 246 and 1.5 gives: 369 (no rounding required) d. 974.59/14.2Dividing 974.59 by 14.2 gives: 68.65 (rounded to two decimal places)
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If X has the hypergeometric distribution, what is the minimum value that X can take?
N – K
N
K
n
0
If X has the hypergeometric distribution, the minimum value that X can take is option (e) 0
The hypergeometric distribution models the probability of getting a certain number of successes in a fixed-size sample drawn without replacement from a finite population containing a known number of successes and failures.
The minimum value that X can take depends on the specific parameters of the distribution.
If the population size is N, the number of successes in the population is K, and the sample size is n, then the minimum value that X can take is max(0, n - (N - K)).
This is because the sample can contain at most n items, and if all of them are failures (i.e., none of them are successes), then X would be 0. On the other hand, if there are fewer than n failures in the population, then the sample can contain at most n - (N - K) successes. If n - (N - K) is negative, then there are more successes than failures in the population, and X can take any value between 0 and n, inclusive.
Therefore, the correct option is (e) 0
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What are the expressions that are equivalent to 8x-24?
The expressions that are equivalent to 8x - 24 is: all above. (see attachment).
What are Equivalent Expressions?Equivalent expressions are mathematical expressions that have the same value for all possible input values. For example, 2x and x+x are equivalent expressions because they both represent the same quantity, which is twice the value of x.
Equivalent expressions can often be simplified or transformed into a different form without changing their value.
Therefore we have:
8(x - 3) = 8x - 24
9(x - 3) - (x - 3) = 9x - 27 - x + 3
8x - 24 (combining like terms)
(5 + 3)x - 24 = 8x - 24
Therefore, the answer is: all above.
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the given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.
The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.
The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.
By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.
Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.
Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.
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Question
The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
The distance around the rectangle is 44 centimeters.The length of each longer side is 12 centimeters.What is the length of each shorter side
The length of each shorter side is 10 centimeters in the given case.
Let's call the length of the shorter side "x".
The formula for the perimeter (distance around) of a rectangle is:
Perimeter = 2Length + 2Width
We are given that the perimeter is 44 centimeters, and that the length of each longer side is 12 centimeters.
The perimeter of a shape is the distance around its boundary.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
where "Length" and "Width" are the dimensions of the rectangle.
The formula for the perimeter of a square is:
Perimeter = 4 * Length
where "Length" is the length of a side of the square.
The formula for the perimeter of a triangle is:
Perimeter = Side1 + Side2 + Side3 So we can plug in these values and solve for the length of the shorter side:
44 = 2(12) + 2x
44 = 24 + 2x
20 = 2x
x = 10
Therefore, the length of each shorter side is 10 centimeters.
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The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
7.) 4, 5, 6
8.) 11, 12, 15
9.) 30, 40, 50
The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.
What is Triangle?Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
7.) This triangle is obtuse.
To see this, we can use the Pythagorean theorem:
4*4 + 5*5 = 16 + 25 = 41
6*6 = 36 m
Since 41 > 36, we know that the triangle is obtuse.
8.) This triangle is right.
To see this, we can again use the Pythagorean theorem:
11*11 + 12*12 = 121 + 144 = 265
15*15 = 225 m
Since 265 = 225 + 40, we know that the triangle is right.
9.) This triangle is also right.
We can use the same method as before:
30*30 + 40*40 = 900 + 1600 = 2500
50*50 = 2500 m
Since 2500 = 2500, we know that the triangle is right.
Therefore, The given triangles are obtuse , right angled and right angled.
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a questionnaire concerning satisfaction with the financial aid office on campus was mailed to 50 students on a university campus. the 50 students are an example of a
The 50 students are an example of a sample population
Questionnaire SampleA sample is a subset of a population that is used to represent the entire population. In this case, the 50 students who received the questionnaire are a sample of the population of students on the university campus. The results of the questionnaire would be used to make inferences about the satisfaction of the entire student population with the financial aid office on campus. The importance of the sample lies in the fact that it allows researchers to make inferences about a larger population based on a smaller, more manageable group of individuals. This is done by selecting a sample that is representative of the population of interest.
By studying a sample, researchers can make predictions about the characteristics of the larger population, such as the percentage of students who are satisfied with the financial aid office on campus. This can be done with a high degree of accuracy if the sample is chosen and analyzed properly. Additionally, studying a sample can also be much more cost-effective and time-efficient than studying the entire population. However, it's important to keep in mind that the sample may not be perfectly representative of the population and it may introduce some errors, called sampling errors, in the inferences made about the population.
So, 50 students as an example of a population sample to fill out the questionnaire.
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A picture 8 3/4 feet long is to be centered on a wall that is 12 1/2 feet long. How much space is there from the edge of the wall to the picture?
Answer:
15/4
Step-by-step explanation:
Find a common denominator in this case 4.
Turn both mixed numbers to an improper fraction
12 1/2 = 25/2
8 3/4 = 35/4
multiply 2 to 25/2 = 50/4
50/4 - 35/4 = 15/4
Help me please !!!!!!
Answer:
wouldnt it be. 4 × x+7
Step-by-step explanation:
because x and 7 equal the whole top and 4 is the side
Deon earns $28 washing 4 windows. At this rate, how many windows did Deon wash to earn $63?
Answer:
9windows
Step-by-step explanation:
4w=$28
$63 =4×63÷28 =4×63×1/28
9windows
When using substitution to solve this system of equations
6y + 2x = 3
2x + y = 8
which variable will you solve for?
pls Answer it I will Mark BRAIN LIST.
Answer:
cosA = 40/41
tanA = 9/40
Step-by-step explanation:
Step 1: Find the other leg value
a² + b² = c²
9² + b² = 41²
b² = 41² - 9²
b = √1600
b = 40
Step 2: Draw out your triangle.
When you do so, you should see the cosA (adjacent over hypotenuse) is 40/41 and tanA (opposite over adjacent) is 9/40.
Triangle CBA
Length of AC = 40 (Leg)
Length of BC = 9 (Leg)
Length of AD = 41 (Hypotenuse)
cosA = AC/AB = 40/41
tanA = CB/AC = 9/40
Answer:
Cos A = 40/41
Tan A = 9/40
Step-by-step explanation:
Sin A = \(\frac{perpendicular}{hypotenuse}\) = \(\frac{9}{41}\)
So,
Perpendicular = 9 , Hypotenuse = 41
So, Finding base by Pythagorean Theorem
=> \(c^2=a^2+b^2\)
=> \(a^2 = c^2-b^2\\\)
=> \(a^2 = 41^2-9^2\)
=> \(a^2 = 1681 - 81\\a^2 = 1600\)
Taking sqrt
=> base = 40
Now,
Cos A = \(\frac{base}{hypotenuse} = \frac{40}{41}\)
Tan A = \(\frac{perpendicular}{base} = \frac{9}{40}\)