Can anyone help with question 9 and please don’t mind the black pencil covering

The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.

Answer:

8 days

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

Answer:

3/10

Step-by-step explanation:

3/5 left over and he eats half of it. So 3/5 ×1)2 which is 3/10.

Alex ate 3/10 of the pizza on saturday night.

Division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Given that, On Friday night, Alex ate a large pizza for dinner. He had 3/5 of the pizza left over when he was done. On Saturday, he ate 1/2 of the leftover pizza from Friday.

He ate 3/5 of the pizza on friday,

He ate 1/2 of the leftover pizza on saturday.

Therefore, he ate 3/5 ÷ 1/2 of the pizza on saturday

= 3/5×0.5 = 0.3 = 3/10

Hence, he ate 3/10 of the pizza on saturday night.

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The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Answer

Second option is correct.

Option G is correct.

Area of the figure = (6.8/2) + (10.8)

Explanation

We can see that the figure is a combination of a triangle and a rectangle

Area of a rectangle = Length × Width

For the rectangular part,

Length = 10

Width = 8

Area of the rectangle = 10 × 8 = (10.8)

Area of a triangle = ½ × Base × Height

For this triangle,

Base = 16 - 10 = 6

Height = 8

Area of the triangle = ½ × Base × Height

Area of the triangle = ½ × 6 × 8 = (6.8/2)

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = (6.8/2) + (10.8)

Hope this Helps!!!

Answer:

$7.50

Step-by-step explanation:

Answer:

Point A at Quadrant 2

Step-by-step explanation:

For point (-2, 4) the -2 is the x-axis and the 4 is the y-axis. All points at -2 on the x-axis are A, J, and K. All points at 4 on the y-axis are A, B, and C. Since point A is satisfies both of the places on the x-axis and the y-axis, your answer is point A.

\(Quadrant\begin{array}{cccccc}&&y&\\&&|&\\&2&|&1\\-&-&+&-&-&x\\&3&|&4\\&&|\end{array}Graph\)

The picture above shows the quadrants. Since A is in the top left, it's quadrant 2. (The Quadrant Graph took a while so plz rate 5 stars.) Thx!

Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:

sorry i can't clear

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

The volume of the solid obtained by revolving the region bounded by y = x - √x, y = 0, and x = 36 around the line x = 36 can be found using the method of cylindrical shells. The resulting volume is approximately 3,012 cubic units.

To calculate the volume, we integrate the formula for the volume of a cylindrical shell, which is given by V = 2π∫[a,b] x * h(x) dx, where [a,b] represents the range of x values.
In this case, the lower bound of integration is 0 and the upper bound is 36, since the region is bounded by y = 0 and x = 36. The height of the cylindrical shell, h(x), is given by the difference between the x-coordinate of the curve y = x - √x and the line x = 36.
To obtain the x-coordinate of the curve, we set x - √x = 0 and solve for x. This gives us x = 0 or x = 1.
Next, we calculate the difference between x and 36, which gives us  the height of the cylindrical shell. Then, we substitute the expressions for x and h(x) into the volume formula and integrate with respect to x.
After performing the integration, we find that the volume of the solid is approximately 3,012 cubic units.

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Step-by-step explanation:

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Therefore, the weight increase during the first 10 hours is approximately 9.754 grams, and the weight increase from the 10th to the 20th hour is approximately 45.324 grams.

To find the weight increase during the first 10 hours of growth, we need to integrate the rate function \(W'(t) = 0.3e^{(0.4t)}\) over the interval [0, 10]. The weight increase from the end of the 10th hour to the end of the 20th hour can be found by integrating W'(t) over the interval [10, 20]. Let's calculate these values:

Weight increase during the first 10 hours:

∫[0, 10] \(0.3e^{(0.4t)}\) dt = [\(1.5e^{(0.4t)}\)] from 0 to 10

\(≈ 1.5e^{(0.4 * 10)} - 1.5e^0\)

≈ 9.754 grams

Weight increase from the 10th to the 20th hour:

∫[10, 20] \(0.3e^{(0.4t)} dt\) = \([1.5e^{(0.4t)}]\) from 10 to 20

\(= 1.5e^{(0.4 * 20)} - 1.5e^{(0.4 * 10)}\)

≈ 45.324 grams

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The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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The expected acceleration of an object is based on the acceleration due to gravity, which is a constant value of 9.8 m/s2. To calculate the expected acceleration, we use the equation: Expected acceleration = (5/7)gsin(θ), where θ is the angle at which the object is moving.

This equation takes into account the angle of the object and uses the acceleration due to gravity to calculate the expected acceleration. In this equation, the acceleration due to gravity is multiplied by a fraction, which is determined by the angle at which the object is moving. Therefore, the higher the angle at which the object is moving, the greater the expected acceleration.

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Answer:

Step-by-step explanation:

Answer:

x = 45° or 135°

( x = 45° + n*180°    or    135° + n*180°)  n: integer

Step-by-step explanation:

Is there a solution for tan x = cot x?

tan x = cot x

tan x - cot x = 0

tan x - (1 / tan x) = 0

tan² x - 1 = 0

tan x = ± 1

x = 45° or 135°

( x = 45° + n*180°    or    135° + n*180°)  n: integer

The perimeter of triangle GHI is determined as 112.

The perimeter of triangle GHI is determined by calculating the distance round the triangle GHI.

The given parameters include;

length GI = 52

length KI = length LI = 15

Length GL = GI - LI

GL = 52 - 15

GL = 37

Length GJ = GL = 37

Length GH = GJ + JH

GH = 37 + 4

GH = 41

Length HI is calculated as;

HI = HK + KI

HK = HJ = 4

HI = 4 + 15

HI = 19

The perimeter of triangle GHI is calculated as;

P = GI + GH + HI

P = 52 + 41 + 19

P = 112

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Answer:

320

Step-by-step explanation:

112/35(percent of students)×100=whole 4th

The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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Answer:

27 in. is the answer

Step-by-step explanation:

hope it helps

The radius of the pool is changing at a rate of 3 / (20π) cm/min when the radius is 10 cm.

To solve this problem, we'll use the given information and the area formula for a circle.
Write the formula for the area of a circle:

\(A = \pi r^2\),

where A is the area and r is the radius.
Differentiate both sides of the equation with respect to time (t): \(dA/dt = d(\pi r^2)/dt.\)
Apply the chain rule on the right side: \(dA/dt = 2\pi r(dr/dt),\)

where dr/dt is the rate of change of the radius.
Plug in the given values:

dA/dt = 3 cm²/min (given) and r = 10 cm (given at the moment of interest).
Solve for dr/dt:
3 = 2π(10)(dr/dt).

Isolate dr/dt:
dr/dt = 3 / (20π)
Simplify:
dr/dt = 1 / (20π/3) = 3 / (20π).

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To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.

Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.

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i) The height above the ground after 2 seconds is 40 meters.

ii) The velocity after 1 second is 20 meters per second

iii) The stone is 30 meters high at two instants: t = 1 second and t = 3 seconds.

i) To find the height above the ground after 2 seconds, we substitute t = 2 into the equation s = 40t - 10t^2:

s = 40(2) - 10(2)^2

s = 80 - 10(4)

s = 80 - 40

s = 40 meters

ii) To find the velocity after 1 second, we differentiate the equation s = 40t - 10t^2 with respect to time:

v = ds/dt = d/dt(40t - 10t^2)

v = 40 - 20t

Substituting t = 1 into the velocity equation:

v = 40 - 20(1)

v = 40 - 20

v = 20 meters per second

iii) To find the instant at which the stone is 30 meters high, we set the equation s = 40t - 10t^2 equal to 30 and solve for t:

30 = 40t - 10t^2

10t^2 - 40t + 30 = 0

t^2 - 4t + 3 = 0

(t - 1)(t - 3) = 0

This equation has two solutions: t = 1 and t = 3.

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337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

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Answer:

The first one is square root, the second one is factoring and the third on is quadratic equation

Step-by-step explanation

Hope this helps! :)

Answer: b) 2 units left, 4 units up, reflect across y-axis

Step-by-step explanation:

The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.

The second option is the one that works.

The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.

A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.

In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.

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