Someone please solve this

Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of Earning $300 in a given week.

She worked 3 hours washing cars, the total number of hours she can work in a week is given as:

3 hours washing cars + x hours tutoring = 17 hours

Now, we need to determine the minimum amount Shandra must earn, which is $300.

The amount she earns from washing cars is calculated as:

3 hours * $12/hour = $36

The amount she earns from tutoring is calculated as:

x hours * $24/hour = $24x

To meet the minimum requirement of earning $300, the total earnings from both jobs must be at least $300:

$36 + $24x ≥ $300

Now, we can solve this inequality to find the range of possible values for x.

$24x ≥ $300 - $36

$24x ≥ $264

Dividing both sides of the inequality by $24:

x ≥ $264 / $24

x ≥ 11

Therefore, Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300 in a given week. if Shandra worked 3 hours washing cars, she must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300. The range of possible values for the number of whole hours tutoring is 11 hours or more.

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Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

Answer:

y= 1/2x+3.5

Step-by-step explanation:

Answer:

y= 1/2x+3.5

I took the test this is right

Step-by-step explanation:

Answer:

mass, pressure, density is the right answer

Step-by-step explanation:

The three main characteristics that can be used to describe air are: C. mass, pressure, density.

Altitude deals with elevation of an object.

Radiation relates to transmission of energy through a medium in form of waves.

Air has mass, pressure, and density.

Therefore, the three main characteristics that can be used to describe air are: C. mass, pressure, density.

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Answer:

.

Step-by-step explanation:

By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles XYZ and Triangle LYZ are shown in figure.

Now,

From triangle XYZ and Triangle LYZ;

⇒ YZ = ZY ( Common side )

⇒ ∠ YXZ = ∠ YLZ  

( By definition of isosceles triangle)

⇒ ∠ YZX = ∠ YZL

(Right angles)

Hence, By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

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Answer:

B= x + 5

C= 3x + 7

D= 5 * 7 =35 or 7 + 5= 12

A?= 3x^2 or 3x + x =4x

Step-by-step explanation:

The differential equation of the form whose all other solutions diverge from is given by dy/dt = k(y - a), where k is a positive constant and a is the reference point.

To write down a differential equation of the form whose all other solutions diverge from, we can use the concept of an unstable equilibrium.

An unstable equilibrium occurs when a small perturbation from the equilibrium point causes the system to move away indefinitely.

A simple example of an unstable equilibrium is a ball balanced on top of a hill. If the ball is disturbed slightly, it will roll down the hill and not return to its original position.

To represent this in a differential equation, we can consider a system where the derivative of the dependent variable is proportional to the distance from a reference point.

Let's denote the dependent variable as y(t) and the reference point as a. The differential equation can be written as:

dy/dt = k(y - a)

Here, k is a constant that determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a.

In conclusion, the differential equation dy/dt = k(y - a) is of the form whose all other solutions diverge from the reference point a. The constant k determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a. This equation is a representation of an unstable equilibrium, where any deviation from the reference point causes the system to move away indefinitely.

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Answer:

I will answer this asap give me a few mins

Step-by-step explanation:

nun yet

Answer:

x = c/2 + d

Step-by-step explanation:

The term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.

The z-value for a point is the number of standard errors a point is away from the mean. This is a long answer but it accurately explains the concept.

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The given series is:[infinity] (−1)n2n 4n(2n)! n = 0The sum of this series can be found as follows:The given series can be written in summation notation as follows:∑ n=0 ∞ (−1)n2n 4n(2n)!

This can be rearranged as follows:∑ n=0 ∞ (−1)n (4n) / [(2n)!]Therefore, this series can be represented as the Maclaurin series of cos 2x, where x = 2 (because the series is represented as 4n instead of 2n).Therefore, the sum of the series is cos (2 × 2) = cos 4.The sum of the given series is cos 4. The given series can be written in summation notation as follows:∑ n=0 ∞ (−1)n2n 4n(2n)!

This can be rearranged as follows:∑ n=0 ∞ (−1)n (4n) / [(2n)!]Therefore, this series can be represented as the Maclaurin series of cos 2x, where x = 2 (because the series is represented as 4n instead of 2n).Therefore, the sum of the series is cos (2 × 2) = cos 4. The sum of the given series is cos 4.

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The  function has a vertex at (-1, -3) is option B.

We can use the vertex form of a quadratic function, which is given by:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Comparing the given functions to the vertex form, we can see that the function with a vertex at (-1, -3) is:

A. F(x) = x+1+3: This is a linear function, not a quadratic function. It is in slope-intercept form, where the slope is 1 and the y-intercept is 4. The graph of this function is a straight line, not a parabola, and it does not have a vertex.

B. F(x) = x-1 +3: This is a quadratic function in vertex form. The vertex of the parabola is (1, 3), not (-1, -3) as given in the question. However, if we rewrite the function in vertex form by completing the square:

f(x) = (x - (-1))^2 + (-3) = (x + 1)^2 - 3

C. F[x]+3= x+1: This equation is not a function, because it has two possible values of F(x) for each value of x. It is also not in the form of a quadratic function, so it cannot have a vertex.

D. F(x) + 3 = x-1: This is a linear function, not a quadratic function. It is in slope-intercept form, where the slope is 1 and the y-intercept is -2. The graph of this function is a straight line, not a parabola, and it does not have a vertex.

Therefore, the answer is option B.

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Particle's velocity, acceleration, and speed are found by differentiating its position function r(t) = (-1/2t^2, 2t) and calculating the magnitude of its velocity vector. Velocity: (-t, 2), acceleration: (-1, 0), and speed: sqrt(t^2 + 4).

To find the velocity, acceleration, and speed of a particle with the given position function r(t) = (-1/2t^2, 2t), we'll follow these steps:
1: Find the velocity (v(t)) by taking the derivative of r(t).
v(t) = (dr/dt) = (-d(1/2t^2)/dt, d(2t)/dt)
2: Calculate the derivatives.
v(t) = (-t, 2)
3: Find the acceleration (a(t)) by taking the derivative of v(t).
a(t) = (dv/dt) = (d(-t)/dt, d(2)/dt)
4: Calculate the derivatives.
a(t) = (-1, 0)
5: Find the speed |v(t)| by calculating the magnitude of the velocity vector.
|v(t)| = sqrt((-t)^2 + (2)^2)
|v(t)| = sqrt(t^2 + 4)
In conclusion, the velocity v(t) of the particle is (-t, 2), the acceleration a(t) is (-1, 0), and the speed |v(t)| is sqrt(t^2 + 4).

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Answer:116.886

Step-by-step explanation:multiply all the sides then devide by 1/2

Answer:

15.312

Step-by-step explanation:

On applying the Chain Rule, dy/dx = dy/du * du/dx, yields dy/dx = 5 * 0 = 0.

To find dy/dx, we need to use the Chain Rule. The Chain Rule states that if y = f(u) and u = g(x), then dy/dx = dy/du * du/dx. In this case, y = 10x3 + 5y2 and u = 25y, so dy/dx = dy/du * du/dx.

To find dy/du, we take the derivative of both sides of the equation. We get: 10x3 + 5y2 = 25y, and then we take the derivative with respect to y to get 5y2 = 25. We can solve this equation to get y = (25/5)1/2, or y = 5. Then, dy/du = 5.

To find du/dx, we take the derivative of both sides of the equation. We get: 10x3 + 5y2 = 25y, and then we take the derivative with respect to x to get 30x2 = 0. We can solve this equation to get x = 0, so du/dx = 0.

Finally, using the Chain Rule, we get dy/dx = dy/du * du/dx, so dy/dx = 5 * 0 = 0.

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Answer:

27/4

Step-by-step explanation:

added in the picture

Answer:

\(\frac{5x+2}{(x-4)(x+7)}\)

Step-by-step explanation:

to obtain a common denominator

multiply the numerator/denominator of the first fraction by x + 7

multiply the numerator/denominator of the second fraction by x - 4

= \(\frac{2(x+7)}{(x-4)(x+7)}\) + \(\frac{3(x-4)}{(x-4)(x+7)}\)

simplify and add numerators leaving the common denominator

= \(\frac{2x+14+3x-12}{(x-4)(x+7)}\)

= \(\frac{5x+2}{(x-4)(x+7)}\)

Answer:

x = 185

Step-by-step explanation:

Given:

Plan A

Fixed cost = $14.80

variable cost = 10 cents per min = $0.1 per minute

Plan B

Fixed cost = $18.50

variable cost = 8 cents per min = $0.08 per minute

Computation:

Assume

Plan A cost = Plan B cost

14.80 + 0.1x = 18.50 + 0.08x

x = 185

Answer:

\(252 + 10h \ge 575\)

Step-by-step explanation:

Given

\(Savings = 252\)

\(Target=575\) -- atleast

\(Earnings = \$10\) per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

\(Total\ Earnings = 10h\)

In inequalities:

At least means \(\ge\)

So, when the total earnings is added to her savings, we have:

\(Savings + Total\ Earnings \ge Target\)

Substitute values for Savings, Total Earnings and Target

\(252 + 10h \ge 575\)

Answer:

x= 1 (any number greater than -10)

Step-by-step explanation:

">" this sign shows that any number greater than -10 can be x. There is no specific answer.

Answer:

The solution set of an inequality is < (less than) or > (greater than) to compare two or more numbers. Example 12 > - 10.

Step-by-step explanation:

When comparing two numbers, like 5 and 8, you probably recognize that the number 5 is less than the number 8. You probably also realize that the number 8 is greater than the number 5. In math, we use the inequality symbols < and > to compare two or more numbers.

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Answer:

400

Step-by-step explanation:

8 out of 10 remember their chargers ( multiply by 10 )

80 out of 100 remember their chargers ( multiply by 5 )

400 out of 500 remember their chargers

Answer:

To calculate Tom's new average, you need to know the total number of runs he scored in the three matches and the total number of runs he scored in the recent two matches.

You can use the following formula to calculate the new average:

New Average = (Total Runs + Recent Runs) / Total Matches

First you need to find the total runs he scored in the first 3 matches:

74 (average) * 3 (number of matches) = 222 runs

Then you need to find the total runs he scored in the recent two matches:

42 (runs in match 1) + 31 (runs in match 2) = 73 runs

Now you can find the new average by adding the total runs in recent two matches and total runs in the first 3 matches and divide it by the total number of matches:

(222 + 73) / 5 = 295 / 5 = 59

So, Tom's new average is 59 runs.

Answer: 59

Step-by-step explanation:

Please refer to the image below:

To find the volume of the solid generated when R is rotated about the horizontal line y=3, we can use the method of cylindrical shells.


The height of each cylindrical shell is the difference between the horizontal line y=3 and the upper function y=√x, which is 3-√x. The radius of each cylindrical shell is x, since R is being rotated about the horizontal line y=3. Thus, the volume of each cylindrical shell is given by:

dV = 2πx(3-√x) dx

Integrating this expression from x=0 to x=9, we get:

V = ∫(0 to 9) 2πx(3-√x) dx

= 2π∫(0 to 9) (3x- x√x) dx

= 2π [ (3/2)x^2 - (2/5)x^(5/2) ] (0 to 9)

= 243π/5

Therefore, the volume of the solid generated when R is rotated about the horizontal line y=3 is 243π/5 cubic units.

To find the volume of the solid generated when R is rotated about the vertical line x=-1, we can use the method of cylindrical shells again.


The height of each cylindrical shell is the difference between the right function y=√x and the left function y=x/3, which is √x - x/3.

The radius of each cylindrical shell is 1+x, since R is being rotated about the vertical line x=-1. Thus, the volume of each cylindrical shell is given by:

dV = 2π(1+x)(√x - x/3) dx

Integrating this expression from x=0 to x=9, we get:

V = ∫(0 to 9) 2π(1+x)(√x - x/3) dx

= 2π ∫(0 to 9) (√x + x√x - x^2/3 - x^(5/2)/3) dx

= 2π [ (2/3)x^(3/2) + (2/5)x^(5/2) - (1/6)x^3 - (2/21)x^(7/2) ] (0 to 9)

= 2438π/35

Therefore, the volume of the solid generated when R is rotated about the vertical line x=-1 is 2438π/35 cubic units.

Finally, since the cross sections perpendicular to the y-axis are squares, the volume of the solid can be found by integrating the area of each square cross section with respect to y. The area of each square is equal to the square of the function y=√x, since this is the upper function for R. Thus, the volume of the solid is given by:

V = ∫(0 to 9) (√x)^2 dy

= ∫(0 to 3) x dy

= [ (1/2)x^2 ] (0 to 9)

= 81/2

Therefore, the volume of the solid with square cross sections perpendicular to the y-axis is 81/2 cubic units.

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The regular-size container of trail mix contains 16 ounces, which is the amount needed to reach 100% without any percentage increase or decrease. To find the number of ounces in the regular-size container, we can set up the equation 250% of x equals 40 ounces, and solving for x gives us the result of 16 ounces.

Let's assume x represents the number of ounces in the regular-size container. According to the problem, the family-size container contains 250% of the regular-size amount, which can be expressed as:

250% of x = 40 ounces

To convert the percentage to a decimal, we divide by 100:

2.5 * x = 40

Solving for x, we divide both sides of the equation by 2.5:

x = 40 / 2.5
x = 16

Therefore, the regular-size container of trail mix contains 16 ounces.

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Answer:

y <= x+2

Step-by-step explanation:

Finding the curve equation,

the slope is 1 and the y-intercept is 2. Hence,

y = x + 2

Since the thing is under the graph,

y < x + 2

Since it is a solid line,

y <= x + 2

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Answer:

x=1

x          y

---------------

1           1

2          2

3          3

4          4

5          5

etc.

Step-by-step explanation: