Gregory(g) is 20 years older than his cousin Mark(m). Mark is 6 years younger than his
sister Louanne(L). Write an expression to represent the sum of their ages.

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

Answer:

I would go with D, 8.

Step-by-step explanation:

Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)

There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)

2 x 4 = 8

I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Answer:

6x + 25

Step-by-step explanation:

6(x + 4) + 1

6x + 24 + 1

6x + 25

Answer:

6x + 25

Step-by-step explanation:

Multiply each x and 4 (inside parentheses) by 6, and then add 1 to the resulting sum:

6x + 24 + 1

Combining like terms, we get:

6x + 25

9514 1404 393

Answer:

  D  2.14

Step-by-step explanation:

The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.

  Sin = Opposite/Hypotenuse

  sin(34°) = AC/AB   ⇒   AB = AC/sin(34°)

  sin(53°) = AC/AD   ⇒   AD = AC/sin(53°)

The desired difference in lengths is ...

  AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446

The difference in lengths is about 2.14 units.

Answer:

B- 200

Step-by-step explanation:

ye ye

By using formula and solving we get the item is on sale for $76.

What is selling price?

The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.

The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.

Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.

The formula is: Selling price = Cost + (Cost x Markup percentage)

If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:

Sale price = Original price x (1 - Discount percentage)

In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:

Sale price = $95 x (1 - 0.2)

To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8

Sale price = $95 x 0.8

Sale price = $76

So, the item is on sale for $76.

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Answer:14

Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.

Answer:

8/10

Step-by-step explanation:

12 - 4       8

-------- =  -----

7 - (-3)     10

Answer:

5

Step-by-step explanation:

y2 - y1 / x2 - x1

12 - (-3) / 7 -4

15 / 3

5

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Pentagons are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here,

we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).

Given:

The Beaufort Scale measures the intensity of tornadoes. For a tornado

with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to

estimate the tornado's wind speed in miles per hour.

We have to estimate the wind speed of a tornado with Beaufort number 9.

Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]

⇒

[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]

Hence, the the wind speed of a tornado with Beaufort number 9 is

51.3 miles per hour.

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The GCF of the given expressions is 4x⁷⁶

The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.

Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4

and x⁷⁶ is a factor of  8x⁹²

∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶

Hence, The GCF of the given expressions is 4x⁷⁶

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Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 2: G, Y[/tex]

[tex]Sack\ 3: S, R[/tex]

Required

The tree diagram

The selection process is as follows:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1

[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2

The only tree diagram that illustrates this is: option D

Answer:

A, D

Step-by-step explanation:

Answer:

[tex]here \: is \: your \: solution... \\ \\ radius \: of \: circle = 35 \: cm \\ \\ perimeter \:of \: circle = \pi \: r {}^{2} \\ \\ perimeter \: of \: circle = (22 \div 7)35 \times 35 \\ \\ perimeter \: of \: circle = 3846.5 \: cm \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]

Answer:

Index or vertex are 77 so context and factors are already divided each 5..so i think radio and centimeter are 45/95 take ADF from fraction and multiplyit!! as a exactly answer!! and perimeter are revolved!!

Step-by-step explanation:

HOPE IT HELPS!!

Answer:

27

Step-by-step explanation:

12/4 = 3

3 x 9 = 27

Answer:

hypotenuse,adjacent and opposite

Answer:

Sure mate, n is equal to 27

Step-by-step explanation:

side ab is similar side pq. This is given.

12/4=3 therefore your  scale factor from small to large is 3

side cb is similar to rq. This is given.

the length of cb is equal to 9 multiplying this by 3 will give you the length of line segment rq. and therefore the value of N.

9*3=27

The predicted height if the man with shoe-size 10 is 427.09 cm.

We get the answers using the following steps.

a. The equation of the line of best fit is: y = 42x - 19.81

b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.

c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.

d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:

y = 42x - 19.81

y = 42(10.5) - 19.81

y = 447.9 - 19.81

y = 427.09

So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm

It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.

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Answer:

reducing 9.35  to  19.44  is rounded to 19.4  

Step-by-step explanation:

9.35  to  19.44  is rounded to 19.4  

19.35  = 19.4

19.36  = 19.4

19.37 = 19.4

19.38 = 19.4

19.39 = 19.4

19.40 = 19.4

19.41  = 19.4

19.42 = 19.4

19.43 = 19.4

19.44 = 19.4

Hence Lower bound of   of the rectangle  = 19.35 mm

The answers to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

In a fraction, the number above the line is the numerator.

For instance, the numerator of the fraction 3/5 is 3.

A fraction's numerator displays the number of pieces that make up the whole while the denominator, or a number of equal parts, is displayed below the line.

So, we have the equation:

2x² + x/2x - 2 + x - 4/ 2x - 2

Now, answering questions taking the above-given equation into consideration:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

(3) We complete the square, but we can also use the straightforward factoring approach.

(4)  We eliminate or simply cancel the factors in the numerator that are also present in the denominator to simplify the sum.

Therefore, the answer to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

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Answer:

a) C = 31.42

b) A = 78.55

Step-by-step explanation:

C = (2)(pi)(r), pi = 3.142 and r = 5

C = (2)(3.142)(5)

C = 31.42

A = (pi)(r)^2, pi = 3.142 and r = 5

A = (3.142)(5)(5)

A = 78.55

Answer:

50 pages per hour

Step-by-step explanation:

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines