Use the drop-down menu to identify what each label shows.

Answer:

0.084 , 8.4, 0.84, 84     sorry if im wrong

Step-by-step explanation:

The length of BC will be 7.8

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC, the line BD is perpendicular to AC. The area of triangle ABC is 40 cm²

We can write the area as -

(1/2) × (x + 6 + x + 2) × (x + 1) = 40

(1/2) × (2x + 8) ×(x + 1) = 40

(x + 4)(x + 1) = 40

x² + x + 4x + 4 = 40

x² + 5x = 36

x²+ 5x - 36 = 0

Plot the graph, we get -

x = -9 and x = 4

x = 4

BD = 5cm

DC = 6cm

BC = √(25 + 36)

BC = √61

BC = 7.8

Therefore, the length of BC will be 7.8

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Using the binomial distribution, it is found that:

A. The salesperson should expect 1.54 customers until he finds one that makes a purchase.

B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the probability of a success on a single trial is of p = 0.65.

The expected number of trials until q successes is:

E(X) = q/p

Hence, for one purchase:

E(X) = 1/0.65 = 1.54.

The salesperson should expect 1.54 customers until he finds one that makes a purchase.

For item B, the probability is P(X = 0) when n = 3 multiplied by 0.65, hence:

p = (0.35)³ x 0.65 = 0.0279.

There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

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Solve for x.

2x + 9 = 33

2x = 24

x = 12

A. x = 7.5

B. x = 12

C. x = 21

D. x = 84

Answer:

\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Finally, we can solve for y by dividing both sides by (A + 3):

y = 18 / (A + 3)

Therefore, the solution for y is y = 18 / (A + 3).

By connecting two expressions with an equal sign, a mathematical statement known as an equation is produced. An equation is something like 3x - 5 = 16. The answer of this equation, which indicates that the value of the variable x is 7, is 7.

To solve for y in the equation Ay + 3y + 9 = 27, we need to isolate y on one side of the equation. We can do this by first combining the like terms on the left-hand side of the equation, and then subtracting 9 from both sides to get:

Ay + 3y = 18

Next, we can factor out the y term on the left-hand side:

y(A + 3) = 18

Finally, we can solve for y by dividing both sides by (A + 3):

y = 18 / (A + 3)

Therefore, the solution for y is y = 18 / (A + 3).

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Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

The laplace transform is \(\frac{2}{(s+6)^3}\)

Step-by-step explanation:

We will solve this problem by applying the laplace transform properties (their proofs are beyond the scope of this explanation).

Consider first the function f(t) = 1. By definition of the laplace transform, we have

\(F(s) = \int_{0}^{\infty}f(t)e^{-st}dt\)

when f(t) = 1 we get

\(F(s) = \int_{0}^{\infty}e^{-st}dt = \left.\frac{-e^{-st}}{s}\right|_{0}^{\infty} = \frac{1}{s}\)

We will apply the following properties: Define L(f) as applying the laplace transform

\(L(e^{at}f(t)) = F(s-a)\) (this means, multiplying by an exponential corresponds to a shift in the s parameter of the transform of f)

\(L(t^nf(t)) = (-1)^n\frac{d^n F}{ds^n}\) (this is, multypling by \(t^n\) is equivalent to taking the n-th derivative of the transform.

We are given the function \(g(t) = t^2e^{-6t}\cdot 1 \). Since the transform of the constant function 1 is 1/s, by applying the first property we get

\(L(e^{-6t}\cdot 1 ) = \frac{1}{s+6}\)

By applying the second property we get

\(L(g(t)) = L(t^2 e^{-6t} \cdot 1) = (-1)^2\frac{d^2}{ds^2}(\frac{1}{s+6}) = \frac{2}{(s+6)^3}\)

The weight of each chair is 7 pounds.

Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.

Total weight = 63 pounds

Weight of the table = 35 pounds

Weight if 4 chairs = 63 - 35

= 28 pounds

Weight of one chair = 28/4

= 7 pounds

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Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

Answer:

Give her brainiest

Step-by-step explanation:

So we have a function defined by 5 ordered pairs:

This means that the function takes five different x values and associate each of them with a y value. The inverse function exchanges x values with y values so the pairs that define it are those of f but with their coordinates interchanged. Then the inverse function is:

And that's the first answer.

Then we need to find the domain of the inverse function. This is given by all the x values for which there's an associated y value. In other terms, the domain is composed of all the x values of the points that define the function. Ordering them from lowest to highest we get the domain of the inverse:

And that's the second answer.

Answer:

14

Step-by-step explanation:

First you would have to multiply the height and the width to get 60. Then you would divide 840 by 60 to get the length.

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

\(\frac{3n}{n + 3} + \frac{5}{n - 4}\)

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

\(\frac{3n}{n + 3} + \frac{5}{n - 4}\)

Step 1: Take L.C.M of the denominators

\(LCM = (n+3)(n-4)\)

Step 2: Evaluate the fractions

\(\frac{3n}{n + 3} + \frac{5}{n - 4}\) \(= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}\)

Step 3: Open the brackets at the numerator

\(\frac{3n}{n + 3} + \frac{5}{n - 4}\) \(= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}\)

Step 4: Collect and evaluate like terms

\(\frac{3n}{n + 3} + \frac{5}{n - 4}\) \(= \frac{3n^2-7n+15}{(n+3)(n-4)}\)

Follow the above steps, and you'll be able to solve your question.

The measure of angle b is determined by applying trigonometry ratio as 51⁰.

The measure of angle b is calculated by applying trigonometry ratio as follows;

The trig ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The value of angle b is calculated as follows;

sin b = opposite side / hypothenuse side

sin b = 7/9

sin b = 0.7778

b = arc sin (0.7778)

b = 51⁰

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Answer:

3 and 4

Step-by-step explanation:

30/8=3.75

3.75 lies between 3 and 4

Hey there!

30/8

= 30 ÷ 2 / 8 ÷ 2

= 15 / 4

≈ 3 3/4

≈ 3.75

It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

3

Step-by-step explanation:

You simplify the fraction from the numerator to the denominator. For instance: 60÷20=3

Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-4)/(4 - -3)

   = (1-4)/(4+3)

   = -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

Answer:

The answer is 15 days I hope this helps!

The linear function that describes the distance (in miles) is therefore y = 65x + 80

We have to find the slope and the intercept in other to get the linear function

The data points are:

(1, 145) and (3, 275).

m = (y2 - y1) / (x2 - x1)

fixing the data points we have

m = (275 - 145) / (3 - 1)

= 130 / 2

= 65

y = mx + b

(1, 145):

145 = 65(1) + b

b = 145 - 65

= 80

y intercept is 80

The linear function is therefore y = 65x + 80

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The scale factor used to create the image is 1.5.

To determine the scale factor used to create the image, we can compare the corresponding side lengths of triangle ABC and triangle A'B'C'.

Let's calculate the length of side AB in both triangles:

For triangle ABC:

Coordinates of A: (-6, -4)

Coordinates of B: (-2, -4)

Length of AB = √[(-2 - (-6))^2 + (-4 - (-4))^2]

= √[4^2 + 0^2]

= √16

= 4

For triangle A'B'C':

Coordinates of A': (-9, -6)

Coordinates of B': (-3, -6)

Length of A'B' = √[(-3 - (-9))^2 + (-6 - (-6))^2]

= √[6^2 + 0^2]

= √36

= 6

The scale factor can be determined by dividing the length of the corresponding sides in the two triangles:

Scale factor = Length of A'B' / Length of AB

= 6 / 4

= 1.5

Therefore, the scale factor used to create the image is 1.5.

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation: