Answer:
d
Step-by-step explanation:
Help me and show your work.
Answer:
x = 5/6
Step-by-step explanation:
From the question, we are told that the value of the perimeter equals the value of the area
mathematically, the area of a rectangle is the product of its side lengths
we have this as;
5 * 4x = 20x
The formula for the perimeter is;
P = 2(l + b)
P = 2(5 + 4x)
So we equate this to the area above
20x = 2(5 + 4x)
20x/2 = 5 + 4x
10x = 5 + 4x
10x - 4x = 5
6x = 5
x = 5/6
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
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write an equivalent integral with the given order of integration ∫20∫4−x2√0∫4−x2√0f(x,y,z)dzdydx=∫ba∫g(z)f(z)∫k(x,z)h(x,z)f(x,y,z)dydxdz
The given order of integration is in the form of triple integrals, where the integration is performed first over the z-coordinate, then over the y-coordinate, and finally over the x-coordinate.
To obtain an equivalent integral in the given order of integration, we can use the substitution method and change the order of integration.
First, we integrate with respect to z from 0 to √(4-x^2), then we integrate with respect to y from -√(4-x^2) to √(4-x^2), and finally, we integrate with respect to x from 2 to 0. This can be expressed as:
∫2 0 ∫-√(4-x^2) √(4-x^2) ∫0 f(x,y,z) dz dy dx
We can then change the order of integration to obtain an equivalent integral in the form ∫ba∫g(z)f(z)∫k(x,z)h(x,z)f(x,y,z)dydxdz by integrating w.r.t. x first, then w.r.t. y, and finallyw.r.t. z.
This gives us:
∫0 √4-y^2 ∫-√(4-x^2) √(4-x^2) ∫0 f(x,y,z) dz dx dy
Using the limits of integration for each variable, we can rewrite this as:
∫0 2 ∫-√(4-y^2) √(4-y^2) ∫0 f(x,y,z) dz dy dx
Therefore, the equivalent integral in the given order of integration is ∫0 2 ∫-√(4-y^2) √(4-y^2) ∫0 f(x,y,z) dz dy dx.
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Emma owns an ice cream parlour. In an hour she can produce 17 milkshakes or 102 icel cream sundaes. Bob also owns an ice cream parlour. In an hour he can produce 6 milkshakes or 30 ice cream sundaes. has a comparative advantage in milkshakes and has an absolute advantage in both goods. A. Emma; Bob B. Bob; Emma C. Bob; neither D. Emma; neither cream sundaes.
A. Emma; Bob. Emma has a comparative advantage in milkshakes, while Bob does not have a comparative advantage in either milkshakes or ice cream sundaes. Emma also has an absolute advantage in both goods.
Comparative advantage refers to the ability to produce a good or service at a lower opportunity cost compared to another producer. In this case, Emma can produce 17 milkshakes in the same time it takes her to produce 102 ice cream sundaes. On the other hand, Bob can only produce 6 milkshakes in the same time it takes him to produce 30 ice cream sundaes. Emma's opportunity cost of producing milkshakes is lower than Bob's, indicating that she has a comparative advantage in milkshakes.
Additionally, Emma has an absolute advantage in both milkshakes and ice cream sundaes. She can produce more milkshakes (17) than Bob (6) in the same time period. Similarly, she can produce more ice cream sundaes (102) than Bob (30) in an hour. Absolute advantage refers to the ability to produce more of a good or service using the same amount of resources or the ability to produce the same amount using fewer resources. Therefore, based on the given information, the correct answer is A. Emma; Bob.
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There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations
The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85
To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".
According to the sample data
Number of adults who answered "Newspapers": 64
Number of adults who answered "Radio": 21
Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition
64 + 21 = 85
Rounding this answer to the nearest whole number, we get
85 ≈ 85
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The given question is incomplete, the complete question is:
There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.
12. (4) 12 = need help
We have the following:
\((r^4)^{\square}^{}=r^{12}\)therefore,
\(\begin{gathered} \frac{12}{4}=3 \\ (r^4)^3=r^{12} \end{gathered}\)the answer is 3
If in circle A is 60°, what is m∠BDC?
solve for z and show your work please<3
Answer:
z= -3
Step-by-step explanation:
-2z+3+7z= -12
5z+3= -12
5z= -12 -3
5z= -15
z= -3
Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 13 more than two times the length of the
bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?
Answer: \(4x+23\)
Step-by-step explanation:
Given
The length of the bottom of the triangle is x
Another side is \(2x+13\)
The last side is \(x+10\)
Perimeter is the sum of the side of triangles
\(\Rightarrow \text{Perimeter}=x+2x+13+x+10\\\Rightarrow \text{Perimeter}=4x+23\)
16/32= 0/14 what is the awnser
\(\dfrac{16}{32} = \dfrac{O}{14}\\\\\implies \dfrac 12 = \dfrac O{14}\\\\\implies O = \dfrac{14}2 = 7\)
The corner of a room where two walls meet the floor should be a right triangle. Jeff makes a mark along each wall. One mark is 9 inches from the corner. The other is 12 inches from the corner. How can Jeff use the Pythagorean Theorem to see if the walls form a right angle?
ab^2 = 15^2 + 8^2
ab^2 = 289
ab = 17
The Demonstration Concep, two
Step-by-step explanation:A lo largo del texto nuestro enfoque a la geometría es en su mayor parte visual, como debe ser para que el libro sea efectivo
Solve for b
-11b+7 = 40
Answer:
b=-3
Step-by-step explanation:
-11b+7=40
-7 -7
-11b=40-7
-11b=33
-11b/-11=33/-11
b=-3
CHECK:
-11b+7 = 40
Substitute -3 for b:
-11(-3)+7=40
Solve:
33+7=40
40=40
Therefore b does in fact equal -3.
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!
Hey guys please help me on this I will give you brainliest
I need you to show your work and if you do you will get brainliest
Answer:
1. 15-5x 2. 54+18x 3. 3x+15 4. 28x+56
Step-by-step explanation:
I dont get if you need this or the real answer if you need the real answer let me know and I will give you the real answer. :) Have a good day!
What is this- 5(-2xy) simplfied?
Answer:
10xy
Step-by-step explanation:
-5(-2)=10
Answer:
10xy
Step-by-step explanation:
Negative 5 times negative 2 equlas 10
Our answer is 10xy.
I hope it helps!:)
Solve the question in the picture. I know that there is an equation where you'll get root 25 - x^2 plus root 32 - x^2 equals 7, but there has to be a better way.
Answer:
CM = 4
Step-by-step explanation:
set CM=x and BM=y AM= 7-y
right triangle BMC: x² = 5² - y² = 25 - y² ... (1)
right triangle AMC: x² = (4√2)² - (7-y)² = 32 - 49 +14y - y² = -17 + 14y -y² ...(2)
(1)-(2): 0 = 42 - 14y
14y = 42
y (BM) = 3
x² (CM²) = 25 - 3² = 16
x (CM) = 4 (height is positive)
nominal decisions can be broken into which two distinct categories?
Answer:
Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.
3[p(-1)] +5 what is the answer for this
we have the expression
\(\begin{gathered} 3\left[p\left(-1\right)\right]+5 \\ =3[-p]+5 \\ =-3p+5 \end{gathered}\)therefore
The answer is
-3p+5The parent function f(x) = x3 and its translation, g(x), are shown on the graph.
Which represents g(x), the translated function? g(x)=(c-5)^3+3
The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units
Translation of functionsQuadratic functions are functions that has a leading degree of 2.
Given the parent function as shown:
f(x) = x^3
The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units
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Answer:A
Step-by-step explanation:
edge 2023
Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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Please solve this ! 20 Points+Brainest
( a^2÷b^2+1+b^2÷a^2 )
a^2 +1+b^2
— —
b^2 a^2
Answer:
(a^4+b^4)/(a^2b^2)
Step-by-step explanation:
PLS HELPP!! WORTH A LOT OF POINTS
The initial principal of a bank account is $5500. The account earns 4.5% annual interest compounded
quarterly. What is the value of the account after 8 years? Round your answer to the nearest dollar. Must show work.
Answer:
Step-by-step explanation:
7.34 the gpas of all students enrolled at a large university have an approximate normal distribution with a mean of 3.02 and a standard deviation of .29. find the probability that the mean gpa of a random sample of 20 students selected from this university is
The probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher is 10.93%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:Problems of normally distributed samples are solved using the z-score methods.
We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:
Z = X - μ/σ
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem:The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648
Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
This is 1 subtracted by the p- value of Z when X = 3.10. So
By the Central Limit Theorem:
Z = X - μ / s
⇒ Z = 3.1 - 3.02/ 0.0648
⇒ Z = 1.23
The Z = 1.23 has a P- value of 0.8907
∴ 1 - 0.8907 = 0.1093
Now, for getting the percentage,
0.1093 × 100% = 10.93%
10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
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Find the value of a.
Answer:
7
Step-by-step explanation:
Hope this helped!
Trichloroethylene (TCE, C₂HC13) is a well-known pollutant in soils and groundwater in many places, including Mountain View, CA. One major concern is that TCE volatilizing into the air in houses from the surrounding soil can cause unhealthful indoor concentrations. This so-called "vapor intrusion" is a common problem in this region. One report states that shallow groundwater concentrations of TCE of 110 ppm have been measured. The healthful standard for airborne TCE is 25 ppm (long-term exposure), and 200 ppm (short-term exposure)
Let's consider a one-story bungalow with area Ah =10 m x 10 m (about 1000 sq ft) and a ceiling h = 4 m high, and the vapor comes in only through the floor. In order to maintain the house at acceptable levels of TCE, we will use a fan to ventilate the house.
(a) If the groundwater is in equilibrium with air in your house, does this air exceed either health standard? The dimensionless Henry's Law Constant for TCE at 20°C is HT=0.4.
(b) The flux of TCE through the floor of your house can be given by FT = k(c+ - CT) where k is a measured constant with value 106 m/s that depends on things like the type of walls in your house, the porosity of the soil, etc.; ct is the equilibrium air concentration of TCE (from part a); and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air with a throughput of Q, in units of m³/hour. Assume that the outside ambient air has a TCE concentration of ca ("a" is for ambient). Write a budget equation for TCE, i.e. dct/dt =< stuff >. You do NOT have to integrate this equation!
(c) Using the budget equation from (b), what is the equation for the characteristic time 7 for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation? Then substitute numbers to compute a value for T. Is a large or small value of 7 indicative of a significant TCE problem? (d) Assuming we want to keep CT below 20 ppm, compute the minimum value of Q. Compare your answer to Q = 40 cfm (cubic feet per minute), which is the residential requirement by law.
(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.
(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).
(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.
(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.
(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.
(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.
(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.
(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.
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Drag each expression to the box that describes the expression.
3-2 1-7
5-8 9-4
(4) (5) - (2)8
(11+5) (0-12)
5(2) (7) (8) (8)
Difference of Two Products
DRAG AND
Product of Two Quotients
DRAG AND
CLEAR
CHECK
Difference of Two Products has the expressions
(4)(5)-2(8)
and 5(2)(7)-8(8)
Product of Two Quotients
3-2/5-8 . 1-7/9-4
and (11÷5)(1-4/6-12)
The difference of two numbers is the result of subtracting these two numbers.
The product of two or more numbers is the result of multiplying two numbers
Difference of Two Products has the expressions
(4)(5)-2(8)
and 5(2)(7)-8(8)
Product of Two Quotients
3-2/5-8 . 1-7/9-4
and (11÷5)(1-4/6-12)
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5 divide 98
2 divide 72
9 divide 58
7 divide 82
19 3/5
36/16 4/911 5/7yeah..
Write the equation of a line that crosses the points (4, -4) and (2, 10).
Answer:
Y = -7x + 24
Step-by-step explanation:
The point V(6, 3) is translated 2 units left and 3 units up. What are the coordinates of the resulting point, V?
Answer:
( 4,6)
Step-by-step explanation:
To move the point 2 units to left, subtract 2 from the x coordinate
V'( 6-2,3)
V'( 4,3)
Now we move it 3 units up, which means we are adding 3 to the y coordinate
V' ( 4, 3+3)
V' ( 4,6)
The new point is ( 4,6)
If f(x) is a linear function, f(−4)=1, and f(5)=−1, find an equation for f(x) f(x)=
Therefore, the equation for the linear function f(x) is f(x) = (-2/9)x + 1/9.
To find an equation for the linear function f(x), we can use the point-slope form of a linear equation, which is:
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
Given the points (-4, 1) and (5, -1), we can calculate the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
m = (-1 - 1) / (5 - (-4))
= -2 / 9
Now, we can select one of the points and substitute the values into the point-slope form to find the equation. Let's choose the point (-4, 1):
y - 1 = (-2/9)(x - (-4))
y - 1 = (-2/9)(x + 4)
y - 1 = (-2/9)x - 8/9
Adding 1 to both sides:
y = (-2/9)x - 8/9 + 1
y = (-2/9)x - 8/9 + 9/9
y = (-2/9)x + 1/9
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When is the explained varaition (i.e. regression sum of squares) equal to 0?
The explained variation, or regression sum of squares, is equal to 0 when there is no linear relationship between the independent and dependent variables in a given dataset.
In this case, the best-fit line would be a horizontal line, and the slope of the regression line would be 0. This indicates that changes in the independent variable do not have any impact on the dependent variable, resulting in an explained variation of 0.
To summarize, the explained variation (regression sum of squares) is equal to 0 when there is no linear relationship between the independent and dependent variables in the dataset.
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