A store sells four ears of sweetcorn for one dollar how much will nine ears cost

Answer:

it's 3

Step-by-step explanation:

there are 3 oxygen in co3 so if we put 3 in the other side the oxygen will become 3

How many pages are there in the book: The total number of pages in the book is 48.

Give the total number of pages accessing the book = x.

On Monday, he read 30 pages.

On Tuesday, he read 1 / 8 the total pages i.e. x / 8

On Wednesday, he read the excess 1 / 8 of the total pages i.e. x / 4

In this way, we have a relationship,

30 + x /8 + x / 4= x

i.e. 240 + x + 2x / 8 = x

i.e. 240 + 3x = 8x

i.e. 5x = 240

i.e. x = 48

Subsequently, the total number of pages in the book is 48.

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p-Nitrophenol is a chemical compound with the molecular formula C6H5NO3. It is an organic compound that belongs to the class of phenols. It is also known as 4-nitrophenol or para-nitrophenol.

To calculate the amount of p-nitrophenol in wells a:b 2 to 6, you will need to follow these steps:

1. Gather the necessary information:
  - Obtain the concentration of p-nitrophenol in each well from a:b 2 to 6.
  - Determine the volume of each well.

2. Calculate the amount of p-nitrophenol in each well:
  - Multiply the concentration of p-nitrophenol in each well by the volume of that well. This will give you the amount of p-nitrophenol in each well.

3. Record the results on a worksheet:
  - Create a table on the worksheet with columns for the well number, concentration, volume, and amount of p-nitrophenol.
  - Fill in the table with the corresponding values for each well.

By following these steps, you will be able to calculate the amount of p-nitrophenol in wells a:b 2 to 6 and record the results on a worksheet. Make sure to double-check your calculations and units to ensure accuracy.

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Answer:

y-5=-2/3(x-(-7))

Step-by-step explanation:

I just learned this recently as well so bare with me.

So the point slope form is y-y1=m(x-x1)

So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4

So now, we just have to plug in the numbers.

So y-5=-2/3(x-(-7)).

I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.

I hope this helped.

Answer:

5,330

Step-by-step explanation:

Given

A(t) = -1.95t³ + 70.1t² – 188t + 2150

Where,

t = number of years since 2000

Find the attendance for the year 2010

t = 10 (2000 to 2010)

A(t) = -1.95t³ + 70.1t² – 188t + 2150

= -1.95*10³ + 70.1*10² - 188*10 + 2150

= -1.95*1000 + 70.1*100 - 1,880 + 2150

= -1,950 + 7,010 - 1,880 + 2,150

= 5,330

A = 5,330

The attendance for the year 2010 = 5,330

The attendance for the year 2010 is 5,330.

Given that,

Based on the above information, the calculation is as follows:

\(A(t) = -1.95t^3 + 70.1t^2 - 188t + 2150\\\\ = -1.95t^3 + 70.1t^2 - 188t + 2150\\\\= -1.95 \times 10^3 + 70.1\times 10^2 - 188\times 10 + 2150\\\\= -1.95\times 1000 + 70.1\times 100 - 1,880 + 2150\\\\= -1,950 + 7,010 - 1,880 + 2,150\)

= 5,330

Therefore, we can conclude that the attendance for the year 2010 is 5,330

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we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The linear function rule that models the cost of 'y' of a package containing 'x' number of comic books is y = x + 6.50.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A poster and 5 comic books cost $11.50 and a poster and 10 comic books cost $16.50.

slope(m) = (16.50 - 11.50)/(10 - 5).

slope(m) = 5/5.

slope(m) = 1.

16.50 = 10(1) + b.

b = 6.50.

y = x + 6.50.

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At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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13+16 are the numbers that equals to 19.

The equal sign in the  mathematics describes by  equality between the values,. Of the  equations, or expressions are the  written on both sides. There symbol for equal to is two be the  small horizontal lines placed to parallelly. We place the to the  'equal to' sign is between two things that are to the same or equal.

As we know,

If two things are equal or if one thing is equal to the  another, they are the same or  in the size, number, standard, or values .

As per the question we have to find equal number of 19.

So 13+6 are the equal number that equals to 19.

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Answer:

Step-by-step explanation:

The angle and its supplementary angle have a difference of 15.8°. To find the measures, we need to solve an equation.

Let's assume the measure of the angle is x°. The measure of its supplementary angle would be (180° - x°). According to the given information, x° = (180° - x°) - 15.8°.

Simplifying the equation, we have:
x° = 180° - x° - 15.8°
2x° = 164.2°
x° = 82.1°

Therefore, the angle measures 82.1° and its supplementary angle measures (180° - 82.1°) = 97.9°. The difference between these angles is indeed 15.8°, as stated in the problem.

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Answer:

3500 g

Step-by-step explanation:

→ Convert  \(3\frac{1}{2}\)  into decimal

3.5 kg

→ Multiply answer by 1000

3.5 × 1000 = 3500 g

Answer:

Area of the triangle = 60 cm²

Step-by-step explanation:

Two equal sides of the given isosceles triangle measure 13 cm.

Third side of the triangle = 10 cm

Since, formula to get the area of a triangle with given three sides is given by,

Area = \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where a, b and c represent the sides of the triangle

And s = \(\frac{a+b+c}{2}\)

For the given isosceles triangle,

s = \(\frac{13+10+13}{2}\)

s = 18

(s - a) = (18 - 13) = 5 cm

(s - b) = (18 - 10) = 8 cm

(s - c) = (18 - 13) = 5 cm

Substituting these values in the formula,

Area of the triangle = \(\sqrt{18\times 5\times 8\times 5}\)

                                 = \(\sqrt{3600}\)

                                 = 60 cm²

Therefore, area of the given isosceles triangle is 60 square cm.

As there is the highest degree 4 there are four zeros .

Using calculator

the roots are(attached)

The graph is also attached

Answer:

a) 4 roots

b) x = 1 and x = -3

\(\textsf{c)} \quad x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}\)

d) see attached

Step-by-step explanation:

Given function:

\(f(x)=x^4+3x^3-x-3\)

Part (a)

From inspection of the function, the highest exponent of the polynomial is 4.  Therefore, it is expected that the polynomial will have 4 roots.

Part (b)

To find the rational roots, find values of x where \(f(x)=0\)

\(f(1)=(1)^4+3(1)^3-1-3=0\)

\(f(-3)=(-3)^4+3(-3)^3-(-3)-3=0\)

Therefore, the rational roots are: x = 1 and x = -3

Part (c)

As there are only 2 rational roots, the other 2 roots must be complex roots. To find these, first factor the polynomial using the 2 rational roots found in part (b):

\(\implies f(x)=(x-1)(x+3)(x^2+bx+1)\)

\(\implies f(x)=(x^2+2x-3)(x^2+bx+1)\)

\(\implies f(x)=x^4+bx^3+x^2+2x^3+2bx^2+2x-3x^2-3bx-3\)

\(\implies f(x)=x^4+(2+b)x^3+(2b-2)x^2+(2-3b)-3\)

Compare coefficients to find b:

\(\implies (2+b)x^3=3x^3\)

\(\implies b=1\)

Therefore the fully factored function is:

\(\implies f\:\!(x)=(x-1)(x+3)(x^2+x+1)\)

Therefore:

\((x^2+x+1)=0\)

To find the complex roots, use the quadratic formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

\(\implies x=\dfrac{-1 \pm \sqrt{1^2-4(1)(1)}}{2(1)}\)

\(\implies x=\dfrac{-1 \pm \sqrt{-3}}{2}\)

\(\implies x=\dfrac{-1 \pm \sqrt{3}\sqrt{-1}}{2}\)

\(\implies x=\dfrac{-1 \pm \sqrt{3}i}{2}\)

Therefore, all the roots of the function are:

\(x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}\)

Part (d)

End behaviors:

As the degree of the function is even and the leading coefficient is positive, the end behaviors are:

\(\textsf{As } x \rightarrow - \infty, \:\: f(x) \rightarrow + \infty\)

\(\textsf{As } x \rightarrow + \infty, \:\: f(x) \rightarrow + \infty\)

y-intercept

Substitute x = 0 into the function:

\(f\:\!(0)=(0)^4+3(0)^3-(0)-3=-3\)

Therefore, the y-intercept is (0, -3)

To find the approximate x-coordinates of the turning points (stationary points), differentiate the function, set it to zero, then solve for x:

\(f'\:(x)=4x^3+9x^2-1\)

\(\implies 4x^3+9x^2-1=0\)

Using a calculator, x ≈ -2.2, x ≈ -0.4, x ≈ 0.3

Therefore the approximate coordinates of the turning points are:

(-2.2, -9.3),  (-0.4, -2.7)  and (0.3, -3.2)

We don't need to plot these points, they merely help us with the approximate shape of the curve.

The value of x in the given figure, which is a series of isosceles triangles is solved to be 116°

An isosceles triangle have a unique property of equal base angles and two equal sides.

Given that a = 16° and from the image, we can calculate the following:

m∠1 = a = 16°  (base angles of isosceles triangle)

m∠2 = a + m∠1 = 16 + 16 = 32° (external angle theorem)

m∠3 = m∠2 = 32° (base angles of isosceles triangle)

m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1

= 180 - (180 - 32 - 32) - 16

= 48

m∠4 = 48°

m∠5 = m∠4 = 48° (base angles of isosceles triangle)

m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3

m∠6 = 180 - (180 - 48 - 48) - 32

m∠6 = 64°

m∠7 = m∠6 = 64° (base angles of isosceles triangle)

x = 180 - m∠7 (supplementary angle)

x = 180 - 64

x = 116

The value of x is 116°

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a) To find out the speed at which the ball hit the ground, we can use the formula v = u + gt, where v is the final velocity, u is the initial velocity, g is the acceleration due to gravity, and t is the time taken.

Given that the ball was dropped, the initial velocity u is 0. Therefore, the equation simplifies to v = gt.

Using the value of g as 9.8 m/s² and the time taken as 4.2 seconds, we can calculate the final velocity:

v = 9.8 m/s² × 4.2 s = 41.16 m/s.

So, the ball was moving at a speed of 41.16 m/s when it hit the ground.

b) To find the height of the building, we can use the formula h = (1/2)gt², where h is the height, g is the acceleration due to gravity, and t is the time taken for the ball to fall.

Plugging in the values, we get:

h = (1/2) × 9.8 m/s² × (4.2 s)² ≈ 87.15 m.

Rounded to two decimal places, the height of the building is approximately 87.15 m.

c) The acceleration of the ball is the acceleration due to gravity, which is always directed downwards towards the center of the Earth. Its magnitude is 9.8 m/s², meaning that every second, the ball's speed increases by 9.8 m/s in the downward direction. Therefore, the acceleration of the ball is 9.8 m/s² downwards.

2. a) To find the initial velocity of the ball, we can use the equation v = u + gt.

b) To find the maximum height of the ball, we can use the formula h = (1/2)gt², where h is the height, g is the acceleration due to gravity, and t is the time taken for the ball to reach the maximum height.

c) The acceleration of the ball going up is still the acceleration due to gravity, which is always directed downwards towards the center of the Earth. However, since the ball is moving upwards, the acceleration is negative. Therefore, the acceleration of the ball going up is -9.8 m/s².

d) The acceleration of the ball going down is the acceleration due to gravity, which is always directed downwards towards the center of the Earth. Its magnitude is 9.8 m/s², and since the ball is moving downwards, the acceleration is positive. Therefore, the acceleration of the ball going down is +9.8 m/s².

e) The ball is slowing down when it reaches the maximum height because it momentarily stops before starting to fall down. At the maximum height, the ball's velocity is zero, and therefore, its acceleration is also zero. The ball is speeding up when it is thrown upwards and when it is falling down because its velocity is increasing in both cases.

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Answer:

The value of QR is 12.

Step-by-step explanation:

We are given that R is the midpoint of QS, and by definition of a midpoint we know that R is equidistant from the endpoints of segment QS. Therefore, we know that the length of QR is equal to the length of RS. Now we can form an algebraic equation with the values of the segments: 4x = x+9. Now we can subtract x from both sides of this equation to get 3x = 9. Now we can divide both sides by 3, to get that x = 3. Now we can plug this number into the expression 4x, to get the value of QR to be 12.

The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.

The  SLA Downtime refers to the time duration that a machine or service is unavailable.

The SLA Uptime is the amount of time a machine or service is available.

The cumulative downtime per year of an SLA percentage of 99.95 will give the following:

An SLA percentage of 99,95 gives 43 seconds daily downtime.

In a year, cumulative downtime = 43 seconds  * 365 = 15695 seconds

Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.

In conclusion, downtime refers to unavailability of a given machine or service.

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Option A, The image above, according to math central Luz, is a Venn diagram. A major in art, her brother, interprets it as two circles. One instance of synesthesia is the discrepancy in perception.

A Venn diagram is a type of visual representation that uses circles to emphasize the relationships among certain items or constrained groups of things. Rings with overlaps have several properties that circles without overlaps do not. Venn diagrams are helpful for visually illustrating the relationship and differences between two concepts.

A Venn diagram uses circles or other overlapping shapes to illustrate the relationships between three or more organizations of things. They usually serve to visually organize items while emphasizing their similarities and differences.

A triple Venn diagram is a helpful visual tool highlighting the similarities and differences between three sets of objects or statistics.

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Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

The answer is "\(x(\frac{250}{3}-x)\)"

Step-by-step explanation:

Both points are similar that's why the solution is:

\(\to \frac{6x+6y=500}{6}\\\\\to x+y=\frac{250}{3}\\\\\to y= \frac{250}{3}-x \\\\\to Area= xy\\\\ \to Area= x(\frac{250}{3}-x)\)

Answer:

D

Step-by-step explanation:

A^2+B^2=C^2

For A, 15^2(225)+20^2(200)=625, and 25^2=625

For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500

For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025

But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

Step-by-step explanation:

the answer to your problem is m= -5/2

Answer:

-2.5

Step-by-step explanation:

The slope formula \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\) tells us the formula for any slope with 2 given points. We have to plug in the numbers from our 2 ordered pairs to get \(\frac{-4 - 1}{2 - 0}\), which simplifies to \(\frac{-5}{2}\) and can be written as -2.5

The slope of this equation is -2.5

The graph of the linear equation can be seen in the image at the end.

I assume that you want to graph the linear equation:

x + 2y = 3

To do so, you just need to find two points that lie on that line, to find them, just evaluate the linear equation in two different values of x (or y)

Remember that the point notation is (x, y)

if we use x = 0

0 + 2y = 3

2y = 3

y = 3/2 = 1.5

So we have the point (0, 1.5)

if x = 1

1 + 2y = 3

2y = 3 - 1

2y = 2

y = 2/2

y = 1

So the point is (1, 1)

Now that you have these two points, you can graph them on a coordinate axis, and connect them with a staright line.

The graph can be seen below.

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This is ezz homework pay attention in class

I think this is correct

Answer:

ok so if it's a square means all sides are equal so yo get perimeter you add all sides so 8 plus 8 plus 8 plus 8 equals 32 so 32

Side of square shed = 8

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The given integral ∫(4x^2 + 4x + 2) dx can be evaluated to obtain an expression in the form P arctan(ax + b) + c, where P, a, b, and c are constants. The common divisor of P and q is 1, and the value of P is 9.

In the given expression, the integral of 4x^2 is (4/3)x^3, the integral of 4x is 2x^2, and the integral of 2 is 2x. Summing up these integrals, we get (4/3)x^3 + 2x^2 + 2x + C, where C is the constant of integration.

To express this in the form P arctan(ax + b) + c, we need to manipulate the expression further. We can rewrite (4/3)x^3 + 2x^2 + 2x as (4/3)x^3 + (6/3)x^2 + (6/3)x, which simplifies to (4/3)x^3 + (6/3)(x^2 + x).

Comparing this with the form arctan(ax + b), we can see that a = √(6/3) and b = 1. Therefore, the expression becomes 9 arctans (√(6/3)x + 1) + C, where C is the constant of integration.

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