HELP QUICK PLS!!!

Which is the lateral area of the cone?
8V3 yd
-60°
O 1287 yd?
2567 yd?
O (64/3) + yd
O (128/2) + yd?

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling x number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

Answer:

(-2, -7) or (3, 18)

Step-by-step explanation:

Start with your 2 equations

y = x^2 + 4x - 3

y = 5x + 3

Because both equal y, we substitute:

x^2 +4x -3 = 5x+ 3

x^2 - x - 6 = 0

Factor:

(x + 2) (x - 3) = 0

Solutions for x: -2 or 3 since if either of the numbers in parentheses is 0, the equation is 0 (0* anything = 0).

Then plug -2 in for x in either equation:

y = 5* -2 + 3

y = -7

So ( -2, -7) is a solution.

Plug 3 in for x in either equation:

y = 5*3 + 3

y = 18

So ( 3 , 18) is a solution.

Hope that helps, let me know if I did anything wrong!

Answer:

(- 2, - 7 ) and (3, 18 )

Step-by-step explanation:

Given the 2 equations

y = x² + 4x - 3 → (1)

y = 5x + 3 → (2)

Substitute y = x² + 4x - 3 into (2)

x² + 4x - 3 = 5x + 3 ( subtract 5x + 3 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

Substitute these values into (2) for corresponding values of y

x = - 2 : y = 5(- 2) + 3 = - 10 + 3 = - 7 ⇒ (- 2, - 7 )

x = 3 : y = 5(3) + 3 = 15 + 3 = 18 ⇒ (3, 18 )

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

Answer:

Its either 2(A+7=5) or 2(A+7) =5

Answer:

4

Step-by-step explanation:

Mean: the sum of all numbers divided by the amount of numbers

In this case it will be the sum of all frequency divided by the amount of pens

Mean = 5 + 7 + 3 + 5 + 3 + 2 / 6

Mean = 25/6

Mean = 4.16

The mean is approximately 4

Answer:

D. Subtract 9y from both sides of the equation.

Step-by-step explanation:

A. Divide both sides of the equation by 36.

B. Multiply both sides of the equation by 6.

C. Add 9y to both sides of the equation.

D. Subtract 9y from both sides of the equation.

Given:

9y - 6x = 36

To solve for x

Step 1: subtract 9y from both sides

9y - 6x - 9y = 36 - 9y

- 6x = 36 - 9y

Step 2: Divide both sides by -6

- 6x / -6 = (36 - 9y) / - 6

x = (36 - 9y) / - 6

The answer is

x = (36 - 9y) / - 6

Answer:

d

Step-by-step explanation:

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

The area of a circle =πr²

substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

[tex]\sqrt{25.75}=\sqrt{r²}[/tex]

r=5.07cm

The length of radius is 5.07cm

The length of the radius is 5.07 cm.

The area of the circle is given by;

[tex]\rm Area \ of \ circle=\pi r^2\\\\Where: \ r = radius[/tex]

The area of a circle is 80.86cm^2.

The length of the radius is;

[tex]\rm Area \ of \ circle=\pi r^2\\\\ 80.86=\pi r^2\\\\r^2=\dfrac{80.86}{3.14}\\\\r^2=25.75\\\\r=5.07[/tex]

Hence, the length of the radius is 5.07 cm.

Learn more about radius here;

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Answer:

Step-by-step explanation:

Product means multiplication (×)

Let

The unknown number = m

product of five and a number = 5 × m

= 5m

product of five and a number is divided by 8, the result is 12

5m / 8 = 12

Cross product

5m = 8 * 12

5m = 96

m = 96/5

= 19.2

m = 19.2

Therefore,

The unknown number = m = 19.2

Check:

5m / 8 = 12

5(19.2) / 8 = 12

96/8 = 12

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the function is not given. A little explanation to assist you is as follows;

From the attached image, one can sense that the function is a piece-wise function.

Now, assume the function is as follows:

[tex]f(x) =\left \{ {{2x + 1\ -1 < x < 3} \atop {4x + 7, x \ge 3}} \right.[/tex]

To calculate f(2), we make use of:

[tex]f(x) =2x + 1[/tex]   [tex]-1 < x < 3[/tex]

Because 2 is within [tex]-1 < x < 3[/tex]

So:

[tex]f(2) = 2 * 2 + 1 =5[/tex]

Similarly, to calculate f(3)

We make use of

[tex]f(x) = 4x + 7[/tex]

Because 3 is within [tex]x\ge 3[/tex]

So:

[tex]f(3) = 4 * 3 + 7 =19[/tex]

Answer:

is it 6 with the 10

Step-by-step explanation:

Answer:

y = 6/5 x + 2/3

Step-by-step explanation:

A equation is given to us and we need to express it in , mx + b form . The given equation to us is,

[tex]\rm\implies 6 = \dfrac{15y - 10}{3x} [/tex]

Move 3x to LHS , we will get ,

[tex]\rm\implies 6 * 3x = 15y - 10 \\\\\rm\implies 18x = 15y - 10 \\\\\rm\implies 15y = 18x + 10 \\\\\rm\implies y =\dfrac{18x+10}{15} \\\\\rm\implies \boxed{ \bf y = \dfrac{6}{5}x + \dfrac{2}{3}}[/tex]

This is the required answer .

Answer:

Hello

Answer B: 32.58°

Step-by-step explanation:

[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]

a) (0, 1)

The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).

y - 4x = 1

y = 4x + 1

The y-intercept is (0,1).

b) k = 6.5

We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).

Therefore, our line is y = 2x - 3.

Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).

10 = 2x - 3

13 = 2x

x = 6.5

Hope this helps!

hope it helps✓✓✓✓✓✓✓✓✓

Answer: A for 10

Step-by-step explanation:

Answer:

y=x-5

Step-by-step explanation:

Hi there!

We want to write an equation of the line that passes through the points (8,3) and (0,-5) in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

So let's first find the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, but let's label the values of the points to avoid any confusion

[tex]x_1=8\\y_1=3\\x_2=0\\y_2=-5[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-5-3}{0-8}[/tex]

Subtract

m=[tex]\frac{-8}{-8}[/tex]

Simplify

m=1

The slope is 1

Here is the equation of the line so far:

y=1x+b (can also be written as y=x+b)

We need to find b

The equation passes through both (8, 3) and (0, -5), so we can substitute the values of either one of them as x and y to solve for b

Let's take (8, 3) for example

Substitute 8 as x and 3 as y

3=1(8)+b

Multiply

3=8+b

Subtract 8 from both sides

-5=b

Substitute -5 as b into the equation

y=x-5

Hope this helps!

Answer:rrrrrrrr

rrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrr

The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the first number:

The other numbers are:

x+1, x+2

The sum of three consecutive numbers is 117:

x + x+1 + x+2 = 117

3x + 3 = 117

3x = 114

x = 38

x+ 1 = 38+1 = 39

x+2 = 38+2 = 40

Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

Learn more about the linear equation here:

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Answer:

Radius

Step-by-step explanation:

Radius is multiplied by 2pi

Answer:

Step-by-step explanation:

(y2-y1)/(x2-x1)

Answer:

10%

Step-by-step explanation:

The percentage decrease in price = [tex]\frac{decrease amount}{original amount}[/tex] x 100%

Original amount = 250,000

New amount = 225,000

Decrease in amount = 250,000 - 225,000

                        = 25,000

So that;

Percentage decrease in price = [tex]\frac{25000}{250000}[/tex] x 100%

                                           = 0.1 x 100%

Percentage decrease in price = 10%

The price of the apartment dropped by 10% of its original price.

Answer:

obtuse angle

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

f(x) = 2•3^x

Let x = -2

f(-2) = 2•3^-2

We know that a^-b = 1/a^b

f(-2) = 2• 1/3^2

     = 2/9

f(x) = 2 * 3^x

f(-2) = 2 * 3^-2

f(-2) = 2 * 1/3^2

f(-2) = 2 * 1/9

f(-2) = 2/9

Hope this helps!

Answer:

1.2

Step-by-step explanation:

- 8. 3 + 3. 7 = -4

-4 - 4 .4 = - 8. 4

-8.4 + 9.2 = 1.2

Answer:

D. 68 degrees

Step-by-step explanation:

Remember, the total degree of a triangle is 180 degrees, not 360 like a rectangle.

To solve, set up an equation.

[tex]y+(y-12)+56=180[/tex]

Solve:

[tex]2y+44=180[/tex]

Subtract 44 from both sides

[tex]2y=136[/tex]

Divide both sides by 2

y=68

I hope this helps!

Answer:

68

Step-by-step explanation:

The sum of the angles of a triangle add to 180

y + y-12 +56 = 180

Combine like terms

2y+ 44 = 180

Subtract 44 from each side

2y+44 = 180-44

2y = 136

Divide by 2

2y/2 = 136/2

y = 68

Answer:

Loss= x

profit=y

x=1/4y

4x=y

Let cost = c

c-x= 15000

c+4x=18000

c+4x-(c-x)=18000-15000

5x=3000

x=600

c-x=15000

c-600=15000

c=15600

c+4x=18000

c+2400=18000

c=15600

Cost= Rs15600

Brainliest please

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

Answer:

x < -3 and x > 5

Step-by-step explanation:

x² - 2x - 8 > 7

~Rewrite in standard form

x² - 2x - 15 > 0

~Factor

(x + 3)(x - 5) = 0

~Solve for both factors

x + 3 = 0

x = -3

x - 5 = 0

x = 5

Best of Luck!

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord , that is

12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.

[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]

Use this formula in the given situation, substitute the given values in and solve for the unknown,

[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]

[tex](6)(x+2)=(12)(x)[/tex]

Simplify,

[tex](6)(x+2)=(12)(x)[/tex]

[tex]6x+12=12x[/tex]

[tex]12=6x[/tex]

[tex]x=2[/tex]

Answer: x=4

Step-by-step explanation:

Concept:

There are three ways to solve the system of equations

Here, we would use substitution because we have two same variables.

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

Solve:

Given

y = -2x + 8

y = x - 4

Substitute

-2x + 8 = x - 4

Add 4 on both sides

-2x + 8 + 4 = x - 4 + 4

-2x + 12 = x

Add 2x on both sides

-2x + 12 + 2x = x + 2x

12 = 3x

Divide 3 on both sides

12 / 3 = 3x / 3

x = 4

Hope this helps!! :)

Please let me know if you have any questions

yes it is possible, although it doesn't always occur.

Your answer is: True

Answer:

7

Step-by-step explanation:

when dividing exponents of the same base, subtract the exponents.

b^4 / b^(-3) = b^(4-(-3)) = b^7

Answer:

7

Step-by-step explanation:

In a division , subtract the exponents.

b^4/b^-2 = b^[4 - (-3)] = b^(4 + 3) = b^7

Answer: 7