Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
1. What is the slope m of the
graphed line?
Answer:
m=0
Step-by-step explanation:
two is subtracted from a number, and then the diffrence is divided by 3. the result is 30
Answer:
Two is subtracted by a number:
n - 2
And then the difference is divided by 3:
(n - 2) / 3
The result is 30:
(n - 2) / 3 = 30
(n - 2 ) / 3 = 30
(n - 2) = 30 • 3
n - 2 = 90
n = 90 + 2
n = 92
The number is 92
On Monday, 5 painters took 7 hours and 36 minutes to paint an office.
On Tuesday, 8 painters are painting another office the same size.
a) Assuming the painters work at the same rate, how long will it take 8 painters to paint the office?
Give your answer in hours and minutes.
The 8 painters will take 12 hours and 9.6 minutes to paint the office. The result is obtained by comparing the two variables, worker and time duration.
How to calculate working time for a certain number of workers?On Monday, 5 painters took 7 hours and 36 minutes to paint an office.On Tuesday, 8 painters are painting another office with the same size.If the they work at the same rate, find the time needed for the 8 painters to finish their job!
Let's say
w = number of workerst = time durationWe convert the unit of time in hours.
t₁ = 7 h 36 min
t₁ = (7 + 36/60) h
t₁ = (7 + 0.6) h
t₁ = 7.6 hours
If they work at the same rate, the number of workers and time durations of each day are directly proportional. So,
w₁/w₂ = t₁/t₂
5/8 = 7.6/t₂
t₂ = 8/5 × 7.6
t₂ = 12.16 hours
In hours and minutes,
t₂ = 12 h + (0.16 × 60) min
t₂ = 12 h 9.6 min
Hence, to paint the office, the 8 painters will take 12 hours and 9.6 minutes.
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if 5 out of 25 people like chocolate ice cream ,what percent of the people do not like chocolate ice cream
what goes into 125 3 times
Answer:
41r6
Step-by-step explanation:
you dived 125 by 3
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
i need help please help tysm
Answer:
(2, 3)
Step-by-step explanation:
the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)
A bird was sitting 6 meters from the base of an oak tree and flew 8 meters to reach the top of the tree. How tall is the tree? If necessary, round to the nearest tenth.
Answer: 5.3 meters.
Step-by-step explanation:
given data:
height the bird sat at on the tree = 6 meters.
height the bird flew to get to the top of the tree = 8meters.
Solution:
length of the tree =
using pythagoras theorem
adjacent = 6 hypotenuse = 8
opposite =?
Let opposite = x
Using the pythagoras theorem
opp² + adj² = hyp²
x² + 6² = 8²
x² + 36 = 64
x² = 64 – 36
x² = 28
x =√28
x = 5.3 meters
I am planning to attend a company-paid conference. My charges will include $412. 00 for airfare, $378. 00 for conference registration, and $210. 00 for food. Supervisor: "Please submit an expense form for a total of __________ when you return. ".
Answer:
$1000.00
Step-by-step explanation:
To find the total amount from the charges, we will simply take the sum of the charges:
412.00 + 378.00 + 210.00 = $1000.00
Hope this helped!
I'm not sure how to solve it
Answer: x = 3; y = -2
Step-by-step explanation:
Simultaneous Equations:
3^(2x) x 3^(3y) = 3^0
2x + 3y = 0
2^(2x) x 2^(-0.5y) = 2^7
2x - 0.5y = 7
2x = -3y
-3y - 0.5 y = 7
y = -2
x = 3
Answer:
x=3 y=-2
Step-by-step explanation:
its at the bottom of the page ♂️♂️
6/15=3/x.
I'm going insane
Answer:
x = 7.5
Step-by-step explanation:
\( \frac{6}{15} = \frac{3}{x} \)
cross multiply expressions
6x = 45 divide both sides by 6
x = 7.5
I need help with math please help me!
Answer:
9.55 cm
Step-by-step explanation:
The circumference is also called the perimeter, which is the length of the outline of any shape.
So,
\(Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm\)
What is the x-intercept of the graph of 27 = -3x?
HURRY I’LL GIVE PTS
Answer:
Graph attached
Step-by-step explanation:
27x - 15y = 1350
15y = 27x -1350
y = 27/15 x - 1350/15
y = 9/5 x - 90
y = mx + b y intercept (b) = -90
y=0 x = 90 * 5/9 = 50 x intercept
The x - intercept of the graph of the 27 = -3x is the point (-9, 0)
What is equation?"It is a statement which consists of an equal symbol between two mathematical expressions."
What is x-intercept?"It is a point at which the graph of any function intersects the x-axis."To find the x-intercept of the function f(x), solve the equation f(x) = 0 and find the value of xfor given example,
we have been given an equation 27 = -3x
We need to find the x - intercept of the graph of the 27 = -3x
We solve above equation for x.
The solution of above equation (value of x) represents the x - intercept.
⇒ 27 = -3x
⇒ x = 27/(-3)
⇒ x = -9
Therefore, the x - intercept of the graph of the 27 = -3x is the point (-9, 0)
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The demand function for a manufacturer's product is p = f(q) = - 0. 16q + 352, where p is the price (in dollars ) per unit when q units are demanded ( per day ). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue
The level of production that maximizes the manufacturer's total revenue is 220 units per day. The maximum revenue is $78,240 per day.
The manufacturer's total revenue is equal to the price per unit multiplied by the number of units sold. In this case, the price per unit is given by the demand function p = f(q) = -0.16q + 352. To maximize the manufacturer's total revenue, we need to find the value of q that maximizes the function p(q)q.
We can do this by differentiating p(q)q with respect to q and setting the derivative equal to zero. This gives us the equation q(-0.16 + q) = 0. Solving for q, we get q = 220.
Plugging this value of q back into the demand function, we get p(220) = -0.16(220) + 352 = 256.
Therefore, the maximum revenue is 256 * 220 = $78,240 per day.
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Test the polar equation for symmetry with respect to the polar axis, the pole, and the line θ = π 2 . (Select all that apply.) r = 3 + 6 cos(θ)
The polar equation r = 3+6cosθ is symmetric to the polar axis with respect to the polar axis.
To test the polar equation r = 3 + 6 cos(θ) for symmetry, we will consider each type of symmetry one by one:
1. Polar axis symmetry: Replace θ with -θ and check if the equation remains the same.
r = 3 + 6 cos(-θ) = 3 + 6 cos(θ) (since cosine is an even function)
Since the equation remains the same, the curve is symmetric with respect to the polar axis.
2. Pole symmetry: Replace r with -r and check if the equation remains the same.
-r = 3 + 6 cos(θ)
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the pole.
3. Line θ = π/2 symmetry: Replace θ with (π - θ) and check if the equation remains the same.
r = 3 + 6 cos(π - θ) = 3 - 6 cos(θ) (since cos(π - θ) = -cos(θ))
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the line θ = π/2.
In conclusion, the polar equation r = 3 + 6 cos(θ) is symmetric with respect to the polar axis, but not with respect to the pole or the line θ = π/2.
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PLEASE ANSWER QUICK On a number line, a segment has an endpoint at -1 and a midpoint at 2.75. What is the other endpoint? Enter your answer in decimal form.
Answer:
I thought the answer is 1.75.
I hope this helps. PLEASE MARK ME AS BRAINLIEST
Step-by-step explanation:
determine the rate of change and y-intercept
Answer:
The slope of the line is 12
(Sorry for the bad quality image)
Explanation:
To find the average rate of change, calculate the change in y over the change in x.
m = 12
Answer:
Rate of change = 12
y-intercept = (0, 20)
Step-by-step explanation:
Part 1) Rate of Change
The rate of change (or slope) is found using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
To use this formula, we must take the coordinates of two of the given points in the table and substitute them. For simplicity, I'll take the points (1, 32) and (4, 68).
\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{68 - 32}{4 - 1} = \frac{36}3 = 12\)
Therefore, the rate of change is 12.
Part 2) y-intercept
To find the y-intercept, we must find the value of the function where \(x = 0\). Since we have both the value of the function where \(x = 1\) and we know that the rate of change is 12, we can simply subtract the rate of change from the y-value of the function at the point where \(x = 1\).
The y-value of the function where \(x = 1\) is 32, therefore, the y-value of the function at \(x = 0\) is \(32 - 12 = 20\)
The y-intercept is (0, 20).
Suppose a meal consists of one sandwich, one side order and one beverage. What is the most
expensive meal you can purchase? How much does it cost?
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
$26.8 is the total cost and Chicken Fajita Taco is the most
expensive meal .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Hamburger + Bacon Cheeseburger + Chicken Fajita Taco + French Fries, Small + French Fries, Large + Onion Rings + Cole Slaw + Soft Drink, Small + Soft Drink, Large + Milkshake + Juice
= $3.25 + $4.75 + $3.50 + $1.55 + $1.90 + $2.40 + $1.45 + $1.30 + $1.65 + $3.25 + $1.80
= $26.8
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What is the domian of y=4[x+2]
Answer:
I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)
( − ∞ , ∞ ) , { x | x ∈ R }
Suppose F→(x,y,z) = ⟨x, y, 5z⟩. Let W be the solid bounded by the paraboloid z=x²+y² and the plane z=16. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F→ through S.
(b) Find the flux of F→ out the bottom of S (the truncated paraboloid) and the top of S (the disk).
(a) To find the flux of the vector field F→(x, y, z) = ⟨x, y, 5z⟩ through the closed boundary S of the solid W bounded by the paraboloid z = x² + y² and the plane z = 16, we can apply the divergence theorem.
AS
The divergence theorem states that the flux of F→ through S is equal to the triple integral of the divergence of F→ over the volume V enclosed by S.
First, we need to calculate the divergence of F→. Taking the divergence, we have div(F→) = ∂/∂x(x) + ∂/∂y(y) + ∂/∂z(5z) = 1 + 1 + 5 = 7.
Next, we evaluate the triple integral of the divergence over the volume V. The limits of integration for V are determined by the region bounded by the paraboloid and the plane, which can be expressed as 0 ≤ z ≤ x² + y² and 0 ≤ z ≤ 16. The integral becomes ∭V div(F→) dV = ∭V 7 dV.
To evaluate this triple integral, we need to express it in appropriate coordinates, such as cylindrical or spherical coordinates, depending on the symmetry of the problem. Then we can determine the limits of integration and perform the integration to compute the flux value.
(b) To find the flux of F→ out of the bottom of S (the truncated paraboloid) and the top of S (the disk), we need to consider the orientation of the surface and apply the divergence theorem separately for each surface.
For the bottom surface (truncated paraboloid), the outward orientation is in the negative z-direction. The flux through this surface is given by the negative of the integral ∭V div(F→) dV over the volume V enclosed by the bottom surface.
For the top surface (disk), the outward orientation is in the positive z-direction. The flux through this surface is equal to the integral ∭V div(F→) dV over the volume V enclosed by the top surface.
In both cases, we can use the same divergence value calculated earlier, div(F→) = 7, and integrate over the appropriate limits of integration based on the geometry of the surfaces.
In summary, to find the flux of F→ through the closed boundary S, we apply the divergence theorem by calculating the divergence of F→ and evaluating the triple integral over the volume enclosed by S. To find the flux out of the bottom and top surfaces separately, we consider the orientations and integrate over the appropriate volumes.
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A proton has a charge of +1, while an electron has a charge of -1.
The charge of an atom at rest is zero. The element gold has 79 protons. How
many electrons does it have?
Answer:
79 electrons
Step-by-step explanation:
If it has 79 protons it will have a total proton charge of 79 so tho make the charge zero we need to add (79) electrons .Mathematically (1*79)+(-1*79)=0
A Store sells 20 bottles of water for $4. Find the cost of 33 bottles.
Question Ends in 2 Minutes...
For answering it, You get 25 points :D
Answer:
$6.60
Step-by-step explanation:
4 / 20 = 0.2
0.2 x 33 = 6.6
The equation below gives the height, H, of a stack of n textbooks in centimeters.H = 3n Which equation would give the number of textbooks in a stack if it's height is known? A. n=H+3 B. n=H-3 C. n= 3/H D. n=H/3
Answer:
Explanation:
The height of
Write the mission power of 10 in exponent form 0.007 X_____=7
On solving the provided question we cans ay that - the value of the following exponent is \(10^-5\)
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
here,
\(10^-5\) = \(\frac{1}{10^5}\)
= 1/100000
=0.00001
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a department store sells a pair of shoes with an 87% markup. If the store sells the shoes for 193.21 then what is there non markup price
Answer: 74%
sorry but i cant tell you my way their would be copyright claims
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is ggg liters.
Answer:
g = (h+a) - l
None of them
Step-by-step explanation:
Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them
Let
h = liters of oil in the morning
l= liters that has leaked
a= liters that were added during the day
g= amount of liters at the end of the evening
Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked
Substituting each variable into the formula, we have
g = (h+a) - l
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?
Answer:
0.267\(mm^3\)
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula :
\(r=\sqrt[3]{\frac{3V}{4\pi } }\)
Taking cube on both sides
\(V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3\)
Which equation can be used to solve for r in the following diagram?
60°
V
(4x – 20)
Answer:
c.
Step-by-step explanation:
60= (4x - 20)
expl: vertically Opposite angles
Michael keeps dogs, cows, cats and kangaroos as pets.
pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?
The question above is incomplete.
Complete Question
Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?
Answer:
7 kangaroos
Step-by-step explanation:
Total number of pets = 24
Fraction representing total number of pets = 1
Step 1
Number of dogs =
Fraction representing dog = 1/8
1/8 × 24 = 3
He has 3 dogs
Step 2
Number of cows =
From the question, we are told that 3/4 are not cows
Therefore, the number of cows he has =
1 - 3/4 = 1/4
The fraction representing cows = 1/4
Hence the number of cows he has =
1/4 × 24 = 6 cows
Step 3
From the question, we are also told that
2/3 are not cats
The fraction representing the number of cats he has=
1 - 2/3 = 1/3
Therefore, the number of cats he has =
1/3 × 24 = 8 cats.
Step 4
How many kangaroos does Michael keep?
We are asked, how many kangaroos he keeps.
Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos
24 = 3 + 6 + 8 + Number of kangaroos
Number of kangaroos = 24 -(3 + 6 + 8)
= 24 - 17
= 7
Therefore, the number of kangaroos that Michael has is 7 kangaroos
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Z follows a Standard Normal Distribution. 1. Find the Probability Density Function of Y = |2| 2. Find the Mean and Variance of Y
the variance of Y, Var(Y), is 2.
To find the probability density function (PDF) of the random variable Y = |2Z|, where Z follows a standard normal distribution, we need to determine the distribution of Y.
1. Probability Density Function (PDF) of Y:
First, let's express Y in terms of Z:
Y = |2Z|
To find the PDF of Y, we need to consider the transformation of random variables. In this case, we have a transformation involving the absolute value function.
When Z > 0, |2Z| = 2Z.
When Z < 0, |2Z| = -2Z.
Since Z follows a standard normal distribution, its PDF is given by:
f(z) = (1 / √(2π)) * e^(-z^2/2)
To find the PDF of Y, we need to determine the probability density function for both cases when Z > 0 and Z < 0.
When Z > 0:
P(Y = 2Z) = P(Z > 0) = 0.5 (since Z is a standard normal distribution)
When Z < 0:
P(Y = -2Z) = P(Z < 0) = 0.5 (since Z is a standard normal distribution)
Thus, the PDF of Y is given by:
f(y) = 0.5 * f(2z) + 0.5 * f(-2z)
= 0.5 * (1 / √(2π)) * e^(-(2z)^2/2) + 0.5 * (1 / √(2π)) * e^(-(-2z)^2/2)
= (1 / √(2π)) * e^(-2z^2/2)
Therefore, the probability density function of Y is f(y) = (1 / √(2π)) * e^(-2z^2/2), where z = y / 2.
2. Mean and Variance of Y:
To find the mean and variance of Y, we can use the properties of expected value and variance.
Mean:
E(Y) = E(|2Z|) = ∫ y * f(y) dy
To evaluate the integral, we substitute z = y / 2:
E(Y) = ∫ (2z) * (1 / √(2π)) * e^(-2z^2/2) * 2 dz
= 2 * ∫ z * (1 / √(2π)) * e^(-2z^2/2) dz
This integral evaluates to 0 since we are integrating an odd function (z) over a symmetric range.
Therefore, the mean of Y, E(Y), is 0.
Variance:
Var(Y) = E(Y^2) - (E(Y))^2
To calculate E(Y^2), we have:
E(Y^2) = E(|2Z|^2) = ∫ y^2 * f(y) dy
Using the same substitution z = y / 2:
E(Y^2) = ∫ (2z)^2 * (1 / √(2π)) * e^(-2z^2/2) * 2 dz
= 4 * ∫ z^2 * (1 / √(2π)) * e^(-2z^2/2) dz
E(Y^2) evaluates to 2 since we are integrating an even function (z^2) over a symmetric range.
Plugging in the values into the variance formula:
Var(Y) = E(Y^2) - (E(Y))^2
= 2 - (0)^2
= 2
Therefore, the variance of Y, Var(Y), is 2.
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