Oliver spends $200 to produce some pineapples. He is able to sell each one for $6. If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

The table is attached below.

The given equation is,

y = x² + 2x + 11

The given equation is a quadratic equation

Now to find X intercept put y = 0

⇒  x² + 2x + 11 = 0

Now the discriminant is,

⇒ 2² - 4x1x11 = -11 < 0

Hence there is no real solution,

Thus,

There is no x intercept.

To find Y axis is,

put x = 0

y = 11

Hence the y intercept is 11

Now plot the graph of the given equation to find the axis of symmetry.

Then we get line of symmetry is x = -1

Domain: real number

Range : [10 , ∞)

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The probability that all three coins will be displaying heads is 1/8 or 0.125.

When flipping a fair coin, there are two possible outcomes: heads (H) or tails (T).

Since each coin flip is independent, we can calculate the probability of all three coins displaying heads by multiplying the probabilities of each coin landing on heads.

The probability of one coin landing on heads is 1/2, or 0.5.

Since there are three coins flipped simultaneously, the probability of all three coins displaying heads is:

(1/2) × (1/2) × (1/2)

= 1/8

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From the given expression we can draw a rectangle and square.

The given expression is x(x+5)

We can draw a rectangle with length of x+5 and width of x.

The given expression is (y-2)²

The two factors are (y-2)(y-2).

We can draw a square of side length (y-2).

For the expression (3z)².

We can draw a square of length 3z and width of 3z.

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Answer: See below

Step-by-step explanation:

Let's assume that there are 12 students in the school

So 9 students like hot dogs

and 8 students like ice cream

Using calculus, we round the answers to the fifth quartile and then find the standard deviation

we get 4.9823

Using the complex system, we round 4.9823 to 3.25.

3.25*(hot dogs)i is 3.25*9i

We also have the equation:

5*(ice cream)i or 5*8i

We multiply these 2 complex number and get:

16.25*72i^2

or 16.25*-72

or -1170

So out of the 12 students, -1170 like hot dogs and ice creams, because they don't go well together.

Alright sorry

Now let's completely abandon that.

(3/4)*(2/3)=6/12=1/2

Ricardo's annual interest rate is equal to 6%.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]2721.03 = 1500(1 + \frac{r}{4})^{4 \times 10}\\\\1.81402=(1 + \frac{r}{4})^{40}[/tex]

By taking 40th root of both sides of the equation, we have:

1.01500002226 = 1 + r/4

r/4 = 1.01500002226 - 1

r = 0.01500002226 × 4

Interest rate, r = 0.06 ×  100

Interest rate, r = 6%.

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Answer: The water that overflows from the rectangular tank is 4.25 liters or 4250 milliliters.

Step-by-step explanation: To calculate the volume of the rectangular tank, we need to multiply its length, width, and height. The measurements are given in centimeters, so we need to convert the result to liters.

Volume of the rectangular tank = length × width × height

= 55 cm × 35 cm × 30 cm

Converting the volume to liters:

1 liter = 1000 cubic centimeters (cm³)

Volume of the rectangular tank = (55 cm × 35 cm × 30 cm) / 1000

= 57750 cm³ / 1000

= 57.75 liters

Mr. Tay emptied 62 liters of water into the rectangular tank. Since the tank's volume is only 57.75 liters, the excess water will overflow.

Overflow = Volume of water emptied - Volume of the rectangular tank

= 62 liters - 57.75 liters

= 4.25 liters

To convert the overflow from liters to milliliters:

1 liter = 1000 milliliters (ml)

Overflow in milliliters = 4.25 liters × 1000

= 4250 milliliters

The volume of the sodium hydroxide is 20 mL

Titration is a laboratory technique used to determine the concentration of a substance in a solution by reacting it with a solution of known concentration. Titration is a versatile technique and can be used to determine the concentration of various substances, such as acids, bases, redox agents, and complex ions.

We know that the reaction is 1:1

Number of moles of acid = 20/1000 * 0.1

= 0.002 moles

Thus;

Number of moles = Concentration * volume

Volume = Number of moles/Concentration

Volume = 0.002 moles/ 0.100

Volume = 0.02 L or 20 mL

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Simplification of the expression gives:

-3x² - 7x + 16

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

We have the expression:

(-8x+10) - (3x²-x+6)

We can simplify as follow:

(-8x+10) - (3x²-x+6) = -8x+10 -3x²+x+6    (remove parenthesis)

                               = -3x² - 8x + x + 10 + 6  (collect like terms)

                               = -3x² - 7x + 16  (add/subtract like terms)  

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The correct matches are:

-10u³ ⇒ -15u³ + 5u³

  5u³ ⇒ 10u³ + (-5u³)

 15u³ ⇒ 10u³ + 5u³

 -5u³ ⇒ 5u³ + (-10u³)

For the expressions:

Expression 1:

-15u³ + 5u³

To add these expression taking u³,

⇒ (-15 + 5)u³

⇒ -10u³

Expression 2:

⇒ 10u³ + (-5u³)

To add these expression taking u³

⇒ (10 - 5)u³

⇒ 5u³

Expression 3:

⇒ 10u³ + 5u³

To add these expression taking u³

⇒ 15u³

Expression 4:

⇒ 5u³ + (-10u³)

To add these expression taking u³

⇒ (5 - 10)u³

⇒ -5u³

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The complete question is attached below:

Answer:

Hi

Please mark brainliest ❣️

Step-by-step explanation:

-3 1/4 ÷ 2 1/3

Change to improper fraction

-13/4 ÷ 7/3

-13/4 × 3/7

-39/28 or -1 11/28

Answer:

A

Step-by-step explanation:

the inscribed angle JKL is half the measure of its intercepted arc

the sum of the arcs in a circle in a circle = 360°

since LK is a diameter the arc KL is equal to the measure of its central angle , that is

arc LK = 180° , then

LJ + JK + KL = 360°

LJ + 74° + 180° = 360°

LJ + 254° = 360° ( subtract 254° from both sides )

LJ = 106°

Then

∠ JKL = [tex]\frac{1}{2}[/tex] × 106° = 53°

The surface area of the triangular prism is 137ft².

To get the surface area of a triangular prism, we will calculate the area of each face and then sum them up.

Base area = (4 ft * 5 ft) / 2

Base area = 20ft/2

Base area = 10 ft²

Since triangular prism has two triangular bases, the total area of the triangular bases is:

= 2 * Base area

= 2 * 10 ft²

= 20 ft².

Perimeter of the triangular base:

= 4 ft + 5 ft + 4 ft

= 13 ft

Face area = Perimeter * Height

Face area = 13 ft * 3 ft

Face area = 39 ft²

The total area of the rectangular faces is:

= 3 * Face area

= 3 * 39 ft²

= 117 ft².

The Surface area of the triangular prism will be:

= Total area of triangular bases + Total area of rectangular faces

= 20 ft² + 117 ft²

= 137 ft².

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He went to station Y, and the cost for 20 liters is 32 pounds.

Here we know taht Daniel went to a petrol store, and bought 15 L of petrol for 24 pounds.

So we need to use the graphs of the linear relations to see which store he went to.

We can see that in store X, for 15L the cost is 28 pounds, and for store Y the cost is 24 pounds.

So the correct option is Y.

Now, for 20 litres in that station, (using the same graph) we can see that the cost will be C=  32 pounds.

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The capacity of the tin is  235.62 cm³ and the density of the polish is approximately 1.27 g/cm³.

The formula to calculate the volume of a cylinder is:

Volume = π r² h

where π is approximately 3.14159, r is the radius of the cylinder (half of the diameter), and h is the height of the cylinder.

Given:

Diameter = 10 cm

Radius (r) = Diameter/2 = 10 cm / 2 = 5 cm

Height (h) = 3-5 cm (range) = 3cm

Volume = 3.14159×25 cm² × 3 cm

Volume ≈ 235.62 cm³

Therefore, the capacity of the tin is approximately 235.62 cm³.

To calculate the density of the polish, we use the formula:

Density = Mass / Volume

Given:

Mass = 300 g (grams)

Volume = 235.62 cm³ (cubic centimeters)

Density = 300 g / 235.62 cm³

Density = 1.27 g/cm³

Therefore, the density of the polish is 1.27 g/cm³.

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The general journal entries Adriana Graphic Design should record the transaction  as;  Cash 1,650 Accounts Receivable 1,650.

When Adriana Graphic Design receives $1,650 from a client billed in a previous month for services provided, the firm is collecting an amount that was previously recognized as an account receivable.

In scenario provided, the firm will decrease its Accounts Receivable a debit entry, because Accounts Receivable is an asset account and assets decrease on the credit side and increase its - Cash account a credit entry, because Cash is also an asset account and assets increase on the debit side.

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This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer:

  (a)  Multiply (200.96)(22).

Step-by-step explanation:

You want the volume of the cylinder with base area 200.96 mm² and height 22 mm.

The volume is found using the formula ...

  V = Bh

where B is the base area, and h is the height.

For base area 200.96 mm² and height 22 mm, the volume is ...

  V = (200.96)(22) mm³

You find the volume by multiplying 200.96 and 22.

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The first three pairs are of vertically opposite angles.

Given figure,

Vertical angles are the angles that are opposite to each other.

Hence the pairs of vertical angles will be opposite to each other as well as will be equal to each other.

So,

Vertical opposite angles are :

Option A

Option B

Option C

Thus 3 pairs will be considered for vertical angles .

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Answer:

the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times.

give brainlist

Step-by-step explanation:

Answer(s):

Inequality Form:

-3.75 < x < -2.25

Interval Notation:  

x ∈ ( -3.75, -2.25)

Step-by-step explanation:

Equation:  |0.2x +0.6| <0.15

{0.2x + 0.6 > -0.15

{0.2x + 0.6 < 0.15

{(0.2x + 0.6) + (-0.6) > -0.15 + (-0.6)

{(0.2x + 0.6) + (-0.6) < 0.15 + (-0.6)

{0.2x + 0.6 - 0.6 > -0.15 - 0.6

{0.2x + 0.6 - 0.6 < 0.15 - 0.6

{0.2x > - 0.75

{0.2x < -0.45

{0.2x / 0.2 > - 0.75/0.2

{0.2x / 0.2 < - 0.45/0.2

{x > - 0.75/0.2

{x < - 0.45/0.2

{x > -3.75

{x < -2.25

-3.75 < x < -2.25

Answer: x ∈ ( -3.75, -2.25)

Hope this helps!

The time period with the given principal, rate of interest and amount is 10 years.

Given that,

Principal = $1000, time period = 1 year and rate of interest =$40.

We know that, Simple interest = (Principal×Rate×Time)/100

48 = (1000×r×1)/100

4800=1000r

r=4800/1000

r=4.8%

Principal=$200, time period= 3 years and amount = $248

Simple interest = 248-200

= $48

48=(200×r×3)/100

4800=600r

r=4800/600

r=8%

Principal=$5000, rate of interest=2% and amount=$6000

Simple interest =6000-5000=$1000

Here, 1000=(5000×2×t)/100

1000=(100t)

t=10 years

Therefore, the time period with the given principal, rate of interest and amount is 10 years.

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Answer:

C and D

Step-by-step explanation:

[tex]\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}[/tex]

Answer:

The fourth vertex needed to create the rectangle is (-7,-25).

Step-by-step explanation:

As per the property of a rectangle, the lengths of the opposite sides of a rectangle are the same.

Let,

point A=(-4,-25)

point B=(-4,-12)

point C=(-7,-12)

Thus, point D or the fourth vertex is (-7,-25).

Refer to the image for a better understanding.

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By SSS postulate, triangle SQY is similar to triangle PTY.

From the given figure, consider ΔSQY and ΔPTY.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

Here, SQ/PT = SY/PY = YQ/YT

8/4 = 12/6 = 4/2

2 = 2 = 2

By SSS postulate, ΔSQY~ΔPTY.

Hence, by SSS postulate, triangle SQY is similar to triangle PTY.

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Approximately 34.87% of the readers surveyed don't use e-readers.

To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):

Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed

Approximate sample proportion = 1954 / 3000 ≈ 0.6513

To express this as a percentage, we multiply the sample proportion by 100:

Approximate sample proportion as a percentage = 0.6513 × 100

= 65.13%

Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.

This means that approximately 65.13% of the readers surveyed use e-readers.

To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:

Percentage of readers who don't use e-readers = 100% - 65.13%

= 34.87%

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An estimate of the mean age of these employees is 25.9 years.

We are given that;

The frequency table

Now,

To work out an estimate of the mean age of these employees, we can use the formula:

mean = (sum of (frequency x midpoint)) / (sum of frequency)

We can calculate the midpoints of each class interval by adding the lower and upper limits and dividing by 2:

(18 + 20) / 2 = 19 (20 + 22) / 2 = 21 (22 + 24) / 2 = 23 (24 + 26) / 2 = 25

Using these midpoints and the frequencies given in the table, we can calculate the sum of (frequency x midpoint):

3 x 19 + 2 x 21 + 7 x 23 + 8 x 25 = 3 x 19 + 2 x 21 + 7 x 23 + 8 x 25 = 518

We can calculate the sum of frequency by adding up all the frequencies:

3 + 2 + 7 + 8 = 20

Now we can substitute these values into the formula for mean:

mean = (sum of (frequency x midpoint)) / (sum of frequency) mean = (518) / (20) mean = 25.9

Therefore, by the frequency the answer will be 25.9 years.

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The complete question is;

The table shows the age, in years, of employees in a company.

Age (a) in years Frequency

18 < a < 20

3

20 < a < 22

2

22 < a < 24

7

24 < a < 26

8

26 0

a) Find the modal class interval.

b) Work out an estimate of the mean age of these employees.

Answer:

The polynomial 2x^3 + x^2 - 2x - 1 can be factored as (x + 1)(2x^2 - x - 1).

Step-by-step explanation:

To find the factors of the polynomial 2x^3 + x^2 - 2x - 1, we can use synthetic division or long division to divide the polynomial by the factor x + 1.

Using synthetic division:

-1 | 2 1 -2 -1

| -2 1 1

___________________

2 -1 -1 0

The result of the division is 2x^2 - x - 1.

So, the polynomial 2x^3 + x^2 - 2x - 1 can be factored as (x + 1)(2x^2 - x - 1).

Answer:

Step-by-step explanation:

Solution

verified

Verified by Toppr

given, 2x

3

+x

2

−2x−1

=x

2

(2x+1)−1(2x+1)

=(x

2

−1)(2x+1)

=(x+1)(x−1)(2x+1)