Answer: The expression 21/10 ÷ 2 4/5 represents the number of hours Jamar worked per shift in the community garden, given that he worked for a total of 21/10 hours over 2 4/5 shifts.
To simplify this expression, we need to convert the mixed number 2 4/5 to an improper fraction:
2 4/5 = (2 x 5 + 4)/5 = 14/5
Now we can rewrite the expression as:
21/10 ÷ 14/5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
21/10 x 5/14 = 3/4
Therefore, Jamar worked an average of 3/4 hours per shift in the community garden.
Step-by-step explanation:
the event containing the outcomes belonging to a or b or both is the __________ of a and b.
The event containing the outcomes belonging to a or b or both is the union of a and b.
Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)
The union of these two sets will give:
aUb=(x, y, z, o, p, q)
Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.
Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.
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I need to know if its maximum or minimum
Answer:
minimum
Step-by-step explanation:
because there's a dip
If a quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?
Step-by-step explanation:
0.125 ÷12 = 1/96
1/96 x 4 =1/24
or
0.125÷3=1/24 because 4x3=12
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of games that Roberto can buy.
Step-by-step explanation: Each game is $25.50 which in math means it has an "x"
So if x=1 then 25.50x says that 1 video game is $25.50
Set up the equation:
200 = 25.50x (divide both sides by 25.50 to isolate the x)
200/25.50 = 7.84
x = 7.84
You can't have 0.84 of a video game, so Roberto can only buy 7 of them. The answer is correct good job!
The number of games that Roberto can buy \(\boldsymbol{8}\) video games.
"To understand the calculation, check below."
Solve an InequalityWhen two values are compared, an inequality shows whether one is less than, greater than, or simply not equal to the other.
It's a relation that compares two integers or other mathematical expressions in a non-equal way.
Total amount with Roberto \(=\$ 200\)
Let \(x\) denotes number of games that Roberto can buy.
Cost of each video game \(=\$25.50\)
So,\(25.50x\leq 200\\x\leq 7.8\)
Therefore, Roberto can buy \(\boldsymbol{8}\) video games.
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As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports their revenue for the year as 0.15 of the company's revenue, and the other restaurant reports 21% of the company's revenue. What is the total percentage of the company's revenue that your two stores report? 3.6% 6% 21.15% 22.5% 36%
Answer:
Total = 36%
Step-by-step explanation:
Given
Company A = 0.15
Company B = 21%
Required
Determine the total revenue
Total is calculated as thus:
Total = Company A + Company B
Total = 0.15 + 21%
Represent 0.15 as %
Total = 0.15*100% + 21%
Total = 15% + 21%
Total = 36%
6) Candace Parker bought some new furniture for her house. Tax was included in the price
of the furniture. She bought a chair for 213 dollars, a couch for $812.50, and a television
for $499.99. If she left a 15% tip on the final price of all the furniture how much would
she have paid in total for the furniture and the tip?
ning Carmelo Anthony
Answer:
$1,754,31
Step-by-step explanation:
Furniture = $213 + $812.50 + $499.99 = $1,525.49
15% * $1,525.49 = $228.82
Total = $1,525.49 + $228.82 = $1,754,31
Candace should have gone to Wayfair
Express the given logarithm as a sum and/or difference of logarithms. Simplify, if possible. assume that all variables represent positive real numbers.
A
\(\frac{1}{8}\log _9r+\frac{1}{5}\log _9s-2\log _9u^{}\)Explanation
Step 1
remember some properties of the logarithms:
\(\begin{gathered} \log (A\cdot B)=\log \text{ A+log B} \\ \log (\frac{a}{b})=\log \text{ A- log B} \\ \log a^b=b\cdot\text{ log a} \\ \log \sqrt[b]{a}\text{ = }\frac{\text{log A}}{b} \end{gathered}\)then
\(\begin{gathered} \log _9\frac{\sqrt[8]{r}\sqrt[5]{s}}{u^2} \\ \log _9\frac{\sqrt[8]{r}\sqrt[5]{s}}{u^2}=\log _9\sqrt[8]{r}\sqrt[5]{s}-log_9u^2 \\ \log _9\frac{\sqrt[8]{r}\sqrt[5]{s}}{u^2}=\log _9\sqrt[8]{r}+\log _9\sqrt[5]{s}-log_9u^2 \\ \log _9\frac{\sqrt[8]{r}\sqrt[5]{s}}{u^2}=\log _9r^{\frac{1}{8}}+\log _9s^{\frac{1}{5}}-2\log _9u \\ \log _9\frac{\sqrt[8]{r}\sqrt[5]{s}}{u^2}=\frac{1}{8}\log _9r+\frac{1}{5}\log _9s-2\log _9u^{} \end{gathered}\)I hope this helps you
Write a system of equations.. Taxi company #1 charges a fee of $10 plus $2,50 per mile, Taxi company #2 charges $4.00 per mile with no fee.
HELP
Using Linear equations, the two equations of the given data are $10 + $250x and $4x
A linear equation example is what?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Using linear Equations,
Let x be the miles covered,
Taxi company 1 charges = $10 + $250x
Taxi company 2 changes = $4x
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In the diagram, what is the relationship between segments AC and BC? Explain your answer.
Answer:
\(\overline{AC} \cong \overline{BC}\)
"line segment AC is congruent to line segment BC"
Step-by-step explanation:
First, establish that the two triangles \(\triangle ADC\) and \(\triangle BDC\) are congruent.
The triangles share side \(\overline{CD}\), and through the reflexive property of congruence, we know that any line segment is congruent to itself.
Angles \(\angle ADC\) and \(\angle BDC\) are congruent because they are supplementary, and \(\angle BDC\) is a right angle, or its measure is 90°; therefore the other angle must also be 90°, and angles with the same measure are congruent.
It is given that \(\overline{AD}\) and \(\overline{BD}\) are congruent.
Now, it can be proven that \(\triangle ADC\) and \(\triangle BDC\) are congruent using the SAS theorem.
Finally, \(\overline{AC}\) is congruent to \(\overline{BC}\), or \(\overline{AC} \cong \overline{BC}\), because of the Corresponding Parts of Congruent Triangles are Congruent theorem (CPCTC).
How many different ways are there to get 10 heads in 20 throws of a true coin?
PLEASE ANSWER!!!!!!! 30 POINTS!!!!
A bag contains 19 blue, 28 purple, 21 red, and 29 orange balls. You pick one ball at random. Find the probability that is red or blue.
Step-by-step explanation:
There are 19+ 28 + 21 + 29 = 97 balls total
19 + 21 = 40 are red or blue
40 out of 97 is 40 / 97 chance of red or blue
| m+4 | = -7
how to solve
Given the diagram below, find the measure of each missing angle. type only the number in the blank
The measure of angle 1 is 50 degrees
The measure of angle 2 is 40 degrees
The measure of angle 3 is 40 degrees
The measure of angle 4 is 100 degrees
The measure of angle 5 is 40 degrees
What are the measures of the angles?The shapes formed are triangles. A triangle is a three-sided polygon. The sum of the angles is a triangle is 180 degree. A right triangle is a triangle in which one of its angle measure 90 degrees. An isosceles triangle has two opposite sides of equal lengths and equal angles.
1 = 180 - 130 = 50 degrees (this is because angle on a straight line is equal to 180 degrees)
2 = 180 - 90 - 50 = 40 degrees (this is because sum of angles in a triagnle is equal)
3 = 40 degrees ( this is because alternate angles are equal)
5 = 40 degrees ( this is because the triangle is an isosceles triangle)
4 = 180 - 40 - 40 = 100 degrees
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every year a laptop is worth 1/3 of what it was worth for each year previous. if you have a $600 laptop, how much is it worth after 15 years?
The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.
We can solve this problem by using the formula for geometric sequences,
an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:
a₁₅ = 600(1/3)¹⁵⁻¹
a₁₅ = 600(1/3)¹⁴
a₁₅ = 600x0.0000021433
a₁₅ = 0.001286
Therefore, after 15 years, the laptop is worth approximately $0.001286.
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∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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A bag contains 3 red marbles, 5 blue marbles and 4 green marbles. If
two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be red?
+-
Answer:
Submit Answer
the probability of drawing 2 red marbles from the bag will be 0.0455.
Number of Red marbles = 3
Number of blue marbles = 5
Number of green marbles = 4
Total marbles = 3 + 5 + 4 = 12
Probability of drawing 2 red marbles from the bag will be:
P = 3 / 12 × 2 / 11
P = 6 / 132
P = 3 / 66
P = 1 / 22
P = 0.0455
Therefore, the probability of drawing 2 red marbles from the bag will be 0.0455.
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Which of the following differential equation(s) is/are linear? (Choose all that apply.) 1 2xy" - 5xy' + y = sin(3x) (v)² + xy =In(x) □y' + sin(y)=e3x (x²+1)y"-3y - 2x³y=-x-9 (+1)y'+xy=y"
To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.
The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".
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Kelly owns a coffee shop. Which of the following is a statistical question that she could investigate at her store?
A Typically, how many minutes does a person stand in line to get their order at
lunchtime?
C What colors should Kelly use to redecorate the shop?
simplify the expression 18p^0, assuming that p is nonzero. Will the value of the expression change with different values for p?
A rectangular pyramid has a volume of 216 in.
A rectangular prism has the same height as the rectangular pyramid and a base that is
congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prismis 648 in?
The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in?
The volume of a rectangular prism is 1/2 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in
The volume of a rectangular prism is 1/3 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in?
ILL GIVE BRAINLIEST HELP ASAP
Answer:
4.5x6x5.5= 148.5
Step-by-step explanation:
148.5
Answer:
148.5
Step-by-step explanation:
4.5 * 6 * 5.5
=
148.5
An internet service provider charges $20 per month plus an initial set-up fee. One customer paid a total of $92 after 2 months of service. Write an equation modeling this situation.
Answer:
x+20 +20=92
Step-by-step explanation:
The old fee of $12 was increased by 175%. What is the new fee?
Answer:
$33
Step-by-step explanation:
12+185%
It says that my answer has to be at least 20 characters long that's why I'm typing this.
Which is the best definition of a conic section ? cone and plane cone and line cone and point cone and circle
The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".
The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.
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Let F = -1 yi + 1 xj. Use the tangential vector form of Greens Theorem to compute the circulation integral int C F .dr where C is the positively oriented circle x^2 + y^2 = 1.
The circulation integral of F around the given circle is 2π. To compute the circulation integral using the tangential vector form of Green's Theorem, we first need to parameterize the circle C.
The given circle has the equation x^2 + y^2 = 1, which can be parameterized as follows:
x = cos(t)
y = sin(t)
where t is the parameter ranging from 0 to 2π.
Next, we compute the tangential vector for the parameterization:
r(t) = cos(t)i + sin(t)j
Taking the derivative of r(t) with respect to t, we get:
r'(t) = -sin(t)i + cos(t)j
Now, we can compute the circulation integral using the formula:
∮C F · dr = ∫(F · T) ds
where F is the given vector field, T is the tangential vector, and ds is the differential arc length.
Plugging in the values, we have:
F · T = (-1 yi + 1 xj) · (-sin(t)i + cos(t)j) = -sin(t)y + cos(t)x
ds = ||r'(t)|| dt = dt
Now, we integrate over the parameter t from 0 to 2π:
∫[0 to 2π] (-sin(t)y + cos(t)x) dt
= ∫[0 to 2π] (-sin(t)sin(t) + cos(t)cos(t)) dt
= ∫[0 to 2π] (-sin^2(t) + cos^2(t)) dt
= ∫[0 to 2π] (1) dt
= [t] from 0 to 2π
= 2π
Therefore, the circulation integral of F around the given circle is 2π.
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a circle has radius 13 centimeters. suppose an arc on the circle as length 6π centimeters. what is the measure of the central angle whose radii define the arc?
Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.
The length of an arc on a circle is given by the formula:
Arc Length = (Central Angle / 360°) * Circumference
In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:
Circumference = 2π * Radius
Substituting the radius value, we get:
Circumference = 2π * 13
= 26π
Now we can use the arc length formula to find the central angle:
6π = (Central Angle / 360°) * 26π
Dividing both sides of the equation by 26π:
6π / 26π = Central Angle / 360°
Simplifying:
6 / 26 = Central Angle / 360°
Cross-multiplying:
360° * 6 = 26 * Central Angle
2160° = 26 * Central Angle
Dividing both sides by 26:
2160° / 26 = Central Angle
Approximately:
Central Angle ≈ 83.077°
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Suppose we obtain a sample proportion using a sample of size 100. If we want to obtain another sample proportion from the same population, but with standard deviation one-half of what it was for a sample of size 100, what should the sample size be
The standard deviation of a sample proportion is given by the formula:
σ = sqrt((p * (1 - p)) / n)
where σ is the standard deviation, p is the sample proportion, and n is the sample size.
If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:
(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)
To simplify the equation, we can square both sides:
((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100
Simplifying further:
100 * n^2 = 4 * 1
n^2 = (4 * 1) / 100
n^2 = 0.04
Taking the square root of both sides:
n = sqrt(0.04)
n = 0.2
Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.
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One fourth of a Number decreased by three is at least two.
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
if 1€=1.50 Australian $ how many Australian $ can be made from €40?
solution:
1€=1.50
$x=€40
By using chain rule
1 × x =1.50×40
so,x=60
Hence,60 Australian $ can be exchanged from €1.5
help me
Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
C
Step-by-step explanation:
5×2=10
10-15x-20
-10-15x
5(-2-3x), or -5(x+4)(x-1) solve it and find your answer
Identify the segments that are parallel if any FDC AND GCH.
Answer:
AD || CB
Step-by-step explanation:
Parallel lines always have a equal distance in between them. For example lines BA & CA isn't parallel because CA is slatnted and doesn't run along BA like the tracks of a train. Hopefully that makes sense lol