I am running out of points please help I have 13

Answer:

y=3x+6

Step-by-step explanation:

the equation of a line in

slope-intercept form

is.

xy=mx+b

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

Learn more about ratios and fractions here:

https://brainly.com/question/2328454

#SPJ1

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Answer:

Smallest to largest would be:

0.008, 0.086, 0.867, 0.870

Step-by-step explanation:

math.

Answer: 4.375 Cups and 35 Ounces.

Step-by-step explanation:

The amount of fluid ounces in 1 cup is 8, meanwhile the amount of fluid ounces in an ounce is 1.

Hope that helps

The solutions of the quadratic equation 5k² - 20k = 15 will be 4.65 and negative 0.65.

Let the equation be ax² + bx + c = 0.

Then the roots of the equation will be

\(\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}\\\)

The quadratic equation is given below.

5k² - 20k = 15

Simplify the equation, then we have

k² - 4k = 3

k² - 4k - 3 = 0

Then the roots of the equation will be

\(\rm k = \dfrac{ -(-4) \pm \sqrt{(-4)^2 - 4 \times 1 \times (-3) }}{2 \times 1}\\\\k = \dfrac{4 \pm \sqrt {28}}{2}\)

Simplify the equation, then we have

k = (4 ± 5.30) / 2

k = (4 + 5.30) / 2, (4 - 5.30) / 2

k = 4.65, -0.65

The solutions of the quadratic equation 5k² - 20k = 15 will be 4.65 and negative 0.65.

More about the roots of the equation link is given below.

https://brainly.com/question/12029673

#SPJ1

Answer:

\( \frac{4}{7} \times 42 \\ = 24 \: storms\)

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

<95141404393>

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375

What do you mean by capital?

Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.

A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.

Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375

So, Total assets= £10,375

Payable=  £1,600, loan from Rub= £2,500, Balancing figure= £6,275

Total liabilities= £10,375

To learn more about capital from the given link

https://brainly.com/question/29548445

#SPJ1

Answer:

C. 510 cm^2

Step-by-step explanation:

Well to find TSA or Total Surface Area,

We need to find the area of al the triangles and rectangles.

Let's start with the 2 rectangles facing forwards.

They both have dimensions of 5*15 and 12*15,

75 + 180

= 255 cm ^2

Now let's do the back rectangle which has dimensions of 15 and 13.

15*13 = 195 cm^2

Now we can do the top and bottom triangles,

Since we don't have height we can use the following formula,

\(A = \sqrt{S(S-a)(S-b)(S-c)}\)

S is \(S = \frac{1}{2} (A+B+C)\)

S= 15

Now with s we can plug that in,

\(A = \sqrt{15(15-5)(15-13)(15-12)}\)

The a b and c are the sides of the triangle.

So let's solve,

15 - 5 = 10

15 - 13 = 2

15 - 12 = 3

10*2*3 = 60

60*15 = 900

\(\sqrt{900}\) = 30 cm^2

Since there is 2 triangles with the same dimensions their areas combined is 60 cm^2

60 + 255 + 195 = 510 cm^2

Thus,

the TSA of the right triangular prism is C. 510 cm^2.

Hope this helps :)

Answer:

C) 510 square centimetres

Step-by-step explanation:

The surface area of a prism is given as:

A = bh * pL

where b = base length of the prism = 12 cm

h = base width = 5 cm

p = b + h + c

where c = slant height = 13 cm

L = height of the prism = 15 cm

Therefore, the surface area of the prism is:

A = (12 * 5) + (12 + 5 + 13) * 15

A = 60 + (30 * 15)

A = 60 + 450

A = 510 square centimetres

That is the surface area of the prism.

a) The solution of the system of equations is, x = 30,000

b)  the equilibrium price is, p = 90

c) the equilibrium quantity is, p = 90

Given that;

The price (in S) of a cookbook is determined by the number of cookbooks x demanded by consumers and supplied by the publisher.

Supply: p=0.003.x

Demand: p = -0.007x+300

Hence, We can simplify as;

⇒ 0.003x = - 0.007x + 300

Solve for x;

⇒ 0.003x + 0.007x = 300

⇒ 0.01x = 300

⇒ x = 300/0.01

⇒ x = 30,000

Hence, the equilibrium price is,

p=0.003.x

p=0.003 × 30,000

p= 90

And, the equilibrium quantity is,

p = -0.007x+300

p = -0.007 × 30,000+300

p = - 210 + 300

p = 90

Thus, a) The solution of the system of equations is, x = 30,000

b)  the equilibrium price is, p = 90

c) the equilibrium quantity is, p = 90

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Step-by-step explanation:

Angle measures:

Supplementary angles for a linear pair and sum to 180°.

Examples are:

Solution:

Given:

Using the given measure of an angle, we can identify all the angles.

We can tell that:

Supplementary angles are pairs of angles that sums up to 180°.

Example of supplementary angle:

Answer:

the 4th statement

Step-by-step explanation:

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer:

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P =  $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

\(A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}\)

substituting P = 2600, r = 0.07, t = 13, n = 1

\(A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}\)

\(A=2600\left(1+0.07\right)^{1\cdot \:13}\)

\(A = 6266\) $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

<95141404393>

Answer:

true

Step-by-step explanation:

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

Learn more about Pythagorean formula here:

https://brainly.com/question/28981380

#SPJ1

Answer:

4 inches

Step-by-step explanation:

There are six people total (derek+5 friends)

2 feet = 24 inches

24 inches divided by the 6 people = 4 inches per person

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6  so we add one to the second place.

i tryed my best

The decimal number rounded to 2 decimal places is 89.62

Given data:

The decimal number is represented as 89.6162

To round 89.6162 to two decimal places, we look at the third decimal place.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Since the digit in the third decimal place is 6, which is greater than or equal to 5, we round up the second decimal place.

Hence, rounding 89.6162 to two decimal places, the number is 89.62

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ2

Answer:

70.9,109.1,204.0,336.0

Step-by-step explanation:

The solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is 6sin² θ - 7 sinθ = 5

Lets arrange in an order

6sin² θ - 7 sinθ - 5 = 0

a=6, b=-7 and c = -5

sinθ = 7±√49+120/12

Simplifying under the square root:

sinθ =7±17/12

Taking the positive solution first

sinθ =24/12

sinθ =2 (Not valid)

Now let's try the negative solution:

sinθ =7-17/12

sinθ =-10/12

sinθ =-5/6

θ= sin⁻¹(-5/6)

θ= −50.48⁰ ,−129.52⁰

we need to restrict our solution to the given interval [0,360), so we add 360 degrees to the negative angle:

θ=360−50.48 = 309.52 and 360 −129.52 =230.48

Therefore, the solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

Answer:

Step-by-step explanation:

Oh, this is a lot easier than you made it sound, lol.

This is the correct answer:

The table with the following:

X=6,7,9,11,13,14

Y=27,33,39,49,58,71

Lol, I didn't realize that was all this was.

Anyways, the table that matches that is correct, that's actually a bit obvious. The numbers you gave me are parameters, a limit. The numbers for x per y have to fall between those numbers listed.

Answer:

A

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If you simplify an expression you divide for example:

4 x 6 - 10 would be dividing each number by 2, 2 x 3 - 5.

I'm not a genius so hopefully this is right and helps!

Answer:

$1,125 in interest.

Step-by-step explanation:

We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.

So we have

P = $7,500

i = 5%

t = 3 years

I = 7500 * 0.05 * 3

I = 1,125 (Interest)

Now we need to find the amount using A = P + I

A = 7,500 + 1,125

A = 8,625

Therefore $8,625 is our total. While our interest is $1,125.