what is the area and formula for this question?​

What Is The Area And Formula For This Question?

Answers

Answer 1

The total area of the given figure is found to be 96 m².

Explain about the area of the rectangle?The quantity of unit squares that could also fit inside a rectangle called its area. The quantity of space a flat surface of a specific form occupies is known as its area. The product of a rectangle's length and width is the formula for calculating its area (breadth). This is stated as follows: Rectangle area equals length x width

Total area = area of rectangle  +  area of triangle

Total area = length x breadth + 1/2 x base x height

Total area = 12 x 7 + 1/2 x 6 x (11 - 7)

Total area = 84 + 12

Total area = 96

Thus, the total area of the given figure is found to be 96 m².

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Related Questions

Use the bar graph to find the experimental probability of rolling a 5. ​

Answers

Answer:19?

Step-by-step explanation:

A group of students is painting a background piece for the school play. What is the area of the part that is painted blue?

Answers

The area of the part that is painted blue is 679 ft.

What are the basic arithmetic operations?

The four basic arithmetic operations are addition, subtraction, multiplication, and division.

Arithmetic operations are the building blocks for all mathematical processes and methods. (Yeah, they’re kind of a big deal!) These types of operations are part of the “arithmetic” branch of math.

Arithmetic operations strip math down to the basics that we use every day, whether we realize it or not. Those basics are addition, subtraction, multiplication, and division.

The area

= 20×30+(1/2)×20×(40-30) -3x5 - 2×3

= boot 10x10- 15-6

= 700-21

= 679

Hence, The area of the part that is painted blue is 679 ft.

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Find the value of x

Answers

The value of x will be 12. For the given image.

What is the angle of arc of the circle?

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

By dividing the arc length by the circle's circumference and multiplying the result by 360 degrees, one can calculate the angle of an arc. 0

To calculate the value of x make the equation below,

x / 4 = 18 / 6

x = ( 18 x 4 ) / 6

x = 12

Therefore, the value of x will be 12.

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What is the value of 8.3?

Answers

The answer is 6.03 did this help?

HELPPP PLS thank you pls

Answers

The piecewise function is defined as follows:

y = x² + 4, x < 2.y = -x + 4, x ≥ 2.

How to define the piecewise function?

A piece-wise function is a function that has different definitions, based on values of the input x of the function.

For this problem, the intervals are given as follows:

x < 2. -> left of x = 2.x ≥ 2. -> right of x = 2.

For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence:

y = x² + 4, x < 2.

For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:

y = -x + 4, x ≥ 2.

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70 points! Complete each proof using the most appropriate method.

Answers

All statements and reasons are shown below.

What is triangle?

A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.

According to the given figure:

4. In ΔFGH and ΔFJH,

        Statement                                   Reason

GH = JH                                        (Given)∠FGH = ∠FJH                              (each 90°)FH = FH                                        (Common)ΔFGH ≅ ΔFJH                             (by R.H.S rule)

5. In ΔTVY and ΔXWY,

        Statement                                   Reason

TY = XY                                        (Given)∠TVY = ∠XWY                             (Given)∠VYT = ∠WYX                             (Vertically opposite angle)ΔTVY ≅ ΔXWY                         (by A.A.A rule) angle-angle-angle ruleTV = XW                                    (by C.P.C.T)

6. In ΔKML and ΔPMN,

        Statement                                   Reason

KL = PN                                        (Given)∠KLM = ∠PNM                             (KL║NP and LN is transversal line,                  so this is alternate interior angle)∠LKM = ∠NPM                             (Alternate interior angle)ΔKML ≅ ΔPMN                         (by A.S.A rule) angle-side-angle ruleLM = NM                                    (by C.P.C.T)

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What is the surface area of this shape.
I will give brainliest
If you can please explain

Answers

The total surface area of the given solid is 256 inch²

Surface area:

Surface area is the measure of the total area that the surface of an object occupies. It is usually expressed in square units, such as square meters, square centimeters, or square feet.

Here in this problem take the surface of the solid as the number of faces and calculate the area of each face as shown below.

Here we have

Solid box with dimensions 4 in, 5 in, and 8 in

The surface of the given solid can be divided as given in the picture

The surface area of the shape = Sum of areas of [ 1 to 12 faces ]

Area of (1, 2, 3, 7, 8, 9 faces ) = 6 (4 × 4 )= 96 inch²  

Area of (4, 5, 6, 10, 11, 12 faces ) = 6 (5 × 4) = 120 inch²    

Area of bottom = (8 × 5) = 40 inch²  

Total Surface area = [ 96 + 120 + 40 ] = 256 inch²

Therefore,

The total surface area of the given solid is 256 inch²

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Of all the cookies in a cookie jar, 4/5 are oatmeal of the oatmeal cookies 2/3 have nuts what fraction of all the cookies in the cookie jar are oatmeal with nuts?

Answers

By answering the above question, we may state that So, 5333/10000 of linear equationthe cookies in the cookie jar are oatmeal cookies with nuts.

What is a linear equation?

In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. As y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables". Bivariate linear equations are linear equations with two variables. Linear equations may be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear. A mathematical equation is said to be linear if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.

For the sake of a simple computation, let's say that the cookie jar contains 100 cookies.

The issue states that 4/5 of the cookies in the jar are oatmeal cookies. So,

80 oatmeal cookies are equal to 4/5 * 100.

Two thirds of the oatmeal cookies have nuts in them. So,

2/3 times 80 equals 53.33 oatmeal cookies with nuts (approx)

As a result, the percentage of cookies in the cookie jar that are made with oats and nuts is:

53.33/100 = 0.5333

This is expressed as a fraction:

0.5333 = 5333/10000

So, 5333/10000 of the cookies in the cookie jar are oatmeal cookies with nuts.

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Pat says that 4-(p+p+p) is the same as 4-p+p+p. 6 a By replacing p by 3 in both expressions, show that Pat is wrong. b Simplify each expression algebraically.​

Answers

The required, two expressions are not equivalent, and Pat's claim is false.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
a) To show that Pat is wrong, we can substitute p = 3 into both expressions and compare the results:

4 - (p + p + p) = 4 - (3 + 3 + 3) = 4 - 9 = -5

4 - p + p + p = 4 - 3 + 3 + 3 = 7

Since the two expressions have different values when p = 3, Pat's claim is false.

b) Simplifying each expression algebraically, we have:

4 - (p + p + p) = 4 - 3p

4 - p + p + p = 4 + p

Therefore, the two expressions are not equivalent, and Pat's claim is false.

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Yesterday, Dustin biked 4 1/2 miles, jogged 2 3/4 miles, and swam 3 1/8 miles. How many miles did he travel while exercising?

Answers

Hi! I'm here to help you.

Dustin covered 7.26 kilometers while exercising. This is calculated by multiplying each distance in miles by 1.609 (which is the equivalence of one mile to one kilometer). Therefore, 4.5 miles * 1.609 = 7.3025 kilometers, 2.3 miles * 1.609 = 3.7277 kilometers and 3.8 miles * 1.609 = 6.1412 kilometers. Then, 7.3025 + 3.7277 + 6.1412 = 7.26 kilometers.

I hope my help was useful to you! If so, could you give me a small reward in recognition of my efforts? Thank you for your consideration!

10 3/8. I had this exact question for homework and answered this and got it correct, so I'm pretty sure this is correct :)

The question in is the image

Answers

X=9 see the steps below to understand how I got there!

A consumer purchased a computer after a 28% price reduction. If x represents the computer's original price, the reduced price can be represented by?

Answers

The price after the reduction is 0.72x

How to determine the price after the reduction

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

Original price = x

Reduction = 28%

Using the above as a guide, we have the following:

Reduced price = Original price * (1 - Reduction)

Substitute the known values in the above equation, so, we have the following representation

Reduced price = x * (1 - 28%)

Evaluate

Reduced price = 0.72x

Hence, the reduced price is 0.72x

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PLEASE HELP !! It is due tonight

In the figure below, there are three right trangles. Complete the following.

Answers

The  orientation and ratio of the sides of the similar right triangles are  presented as follows;

(a)  ΔZXY ` ΔZYW ~ ΔYXW

(b) ZX/YX =  XY/WX

ZW/ZY =  ZY/ZX

What are similar triangles?

Similar triangles are triangles that have the same shape but may have different  size.

(a) Similar triangles are triangles that have congruent internal angles.

Making use if the angles of the triangle, we get;

∠x ≅ ∠x  (reflexive property of congruency)

∠YZW ≅  ∠YZWX (All 90 degrees angle are congruent)

Therefore; ΔZXY ~ ΔZYW by AA similarity postulate

Similarly; ΔZXY is similar to ΔYXW by AA similarity postulate

The similar triangles are therefore;

ΔZXY ~ ΔZYW ~  ΔYXW

(b) The proportion of the corresponding sides of similar triangles are equivalent, and the cosine of an angle in a right  triangle is the ratio of the adjacent side to the hypotenuse side, therefore;

ZX/YX =  XY/WX

The tangent  of an interior angle of a right triangle is the ratio of the opposite side to the adjacent side of the right triangle, therefore;

ZW/ZY =  ZY/ZX

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A square with side s has area s to the 2nd power. Brandon uses a square mat when he practices karate. The mat is 11 feet on each side.

Answers

Answer:

Step-by-step explanation:

i assume you mean that the mat is 11 feet on each side so

area = s*s(or S^2)

so 11*11=121feet sq

Element X decays radioactively with a half life of 8 minutes. If there are 470 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 10 grams? y

Answers

The decay of Element X can be modeled by the equation:

N = N0 * (1/2)^(t/t1/2)

where N is the amount of Element X remaining after time t, N0 is the initial amount of Element X, t1/2 is the half-life of Element X, and ^(t/t1/2) denotes exponentiation with base 1/2.

We know that the initial amount of Element X is 470 grams, the half-life is 8 minutes, and we want to find the time it takes for Element X to decay to 10 grams. Let t be the time in minutes.

Then, we can set up the following equation:

10 = 470 * (1/2)^(t/8)

Dividing both sides by 470, we get:

(1/47) = (1/2)^(t/8)

Taking the natural logarithm of both sides, we get:

ln(1/47) = (t/8) * ln(1/2)

Solving for t, we get:

t = -8 * ln(47)/ln(2)

t ≈ 59.3

Therefore, it would take about 59.3 minutes, to the nearest tenth of a minute, for Element X to decay to 10 grams.

Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water. What is the height, in inches, of the water in the tank after 5 minutes?

Answers

The height of the water in the tank after 5 minutes is approximately 732.6 inches.

What is the equation for a cylinder's volume?

V = πr²h, where V is a cylinder's volume, r is its radius, and h is its height, is the formula for calculating a cylinder's volume. The formula is created by first determining the area of the cylinder's base, which equals r2, and then multiplying that area by the cylinder's height to determine the volume. The volume of tanks, pipelines, and other cylindrical objects may be calculated using this formula, among many other uses.

The volume of a cylinder, which is:

V = πr²h

Given that, diameter is 15 feet, so the radius is 7.5 feet.

Also,

2 feet per second = 2 * 12 * 60 inches per minute = 1440 inches per minute

V = πr²h

Substituting the values:

V = π(7.5)^2(14405)

Here, 14405 is the amount of water that flows into the tank in 5 minutes.

Divide the volume of water by the area of the base of the cylinder

V/A = h

2,044,123/(π(7.5)^2) ≈ 732.6 inches

Hence, the height of the water in the tank after 5 minutes is approximately 732.6 inches.

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Solve (x-3)^2-2=x+1 graphically

Answers

Answer:

Step-by-step explanation:

To solve the equation graphically, we need to first rearrange it into the form of y = f(x). So, let's simplify the given equation:

(x - 3)² - 2 = x + 1

Expanding the left side:

x² - 6x + 9 - 2 = x + 1

Simplifying:

x² - 7x + 6 = 0

Now we can graph the function y = f(x) = x² - 7x + 6 and the line y = x + 1 on the same coordinate axes and find their intersection points.

Here's a graph of the function and the line:

Graph of y=x^2-7x+6 and y=x+1

We can see that the two curves intersect at two points, which have x-coordinates of approximately 1.2 and 5.8. So, the solutions to the equation are x ≈ 1.2 and x ≈ 5.8.

Question 3 of 13
A right rectangular prism and an oblique triangular prism are both 12
centimeters tall and have the same volume. What statement must be true
about the two solids?
A. The cross-sections of the prisms are the same shape.
• B. The area of the cross-sections of the prisms are multiples of each
other.
c. The vertical cross-sections of the prisms at the same width must
have the same area.
• D. The horizontal cross-sections of the prisms at the same height
must have the same area.

Answers

Horizontal cross-sections of the prisms at the same height have the same area.

Option D.

What statement must be true about the two solids?

A right rectangular prism is a three-dimensional shape with six faces which are all rectangles. It has twelve edges and eight vertices.

An oblique triangular prism is a prism with 2 congruent triangular faces and 3 rectangular faces at an angle to the triangular faces.

This is the volume of solid figures concept.

The volume of a prism is obtained by multiplying the area of its base to its height. If the two given solid figures have the same volume and the same height then, the areas of their bases are also equal.

In this case, the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:

Horizontal cross-sections of the prisms at the same height have the same area.

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A recipe uses 4 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?

Answers

Answer:

4=20

3=?

so 20×3 divide by 4 = 15

Step-by-step explanation:

Answer:25

Step-by-step explanation: 25 25 25

Find the value of x

Answers

Answer:

26

Step-by-step explanation:

(6x + 4) + (4x + 6) = 90

180 - (4x + 6) = (6x + 4) + 90

Rearrange the equation.

180 - (-90) = (6x + 4) + (4x + 6)

270 = 6x + 4 + 4x + 6

270 = 10x + 10

260 = 10x

26 = x

I don't know if this is correct, so I apologize if its wrong.

Answer:

x = 8

Step-by-step explanation:

According to the picture,

These given two angles are complementary. That is, those two angles are added up to 90°.

Therefore,

( 6x + 4 ) + ( 4x + 6 ) = 90

Combine like terms.

6x + 4 + 4x + 6 = 90

10x + 10 = 90

Subtract 10 from both sides.

10x = 90 - 10

10x = 80

Divide both sides by 10.

x = 8

Area = 63 square feet
7 ft
l ft
What is the unknown measurement of the rectangle

Answers

Answer:

9 ft

Step-by-step explanation:

63 divided by 7 is 9.

Hope this helped!

Ryan estimates the measurement of the volume of a popcorn container to be 98 cubic inches. The actual volume of the popcorn container is 86 cubic inches. What is the percent error of Ryan's measurement to the nearest thousandth?

Answers

Answer:

difference: -4 cubic inches

% change: -10%

Step-by-step explanation:

The difference between the new volume and the original volume is ...

 (new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

__

The percentage change is figured with respect to the original volume:

 % change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

 = -1/10 × 100% = -10%

b. What is the distance between points K and L? Show your work.
c. Is JKL an equilateral triangle? Explain.

Answers

b. The distance between points K and L is 10 units.

c. ΔJKL is not an equilateral triangle.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

Given points as:

J (-5,-3)

K (1,5),

L (7,-3)

b. To determine the distance between points K and L, we can use the distance formula:

distance = √(x₂ – x₁)² + (y₂ – y₁)²

Substituting the coordinates of K and L, we get:

distance = √((7 - 1)² + (-3 - 5)²)

distance = √(36 + 64)

distance = √(100)

distance = 10

Therefore, the distance between points K and L is 10 units.

c. To determine if JKL is an equilateral triangle, we need to check if all three sides have the same length.

We can find the lengths of each side using the distance formula:

JK = √((1 - (-5))² + (5 - (-3))²) = √(6^2 + 8²) = 10

KL = 10 (as we found in part b)

LJ = √((-5 - 7)² + (-3 - (-3))²) = √((-12)²) = 12

Since all three sides have different lengths (JK and KL are 10 units, while LJ is 12 units), JKL is not an equilateral triangle.

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What is the variable, coefficient, constant of 11 Y +4.5?

Answers

Answer: variable Y, coefficient 11, Constant 4.5

Step-by-step explanation:

variable: Y

coefficient: 11

Constant: 4.5

Mr. Hamstra’s car holds 14 2/5 gallons of gas and averages 20 miles per gallon. About how far can Mr. Hamstra travel when his tank is 1/4 full?

Answers

Mr. Hamstra can travel about 70 miles when his tank is 1/4 full.

How is gas mileage calculated? What is it?

The distance a car can go on a given quantity of gasoline is measured as gas mileage, also known as fuel efficiency. By dividing the distance driven by the amount of gasoline used, one may determine gas mileage. For instance, a car's gas mileage is 25 mpg (300/12 = 25) if it can go 300 miles on 12 gallons of petrol. Many variables, including traffic, speed, weather, road gradient, and vehicle maintenance, can have an impact on gas mileage.

Given that, Mr. Hamstra’s car holds 14 2/5 gallons of gas and averages 20 miles per gallon.

Thus, when his tank is 1/4 full, it contains:

1/4 * 14 2/5 = 14 2/5 / 4 = 3 1/2 gallons.

Hence, Mr. Hamstra can travel about 70 miles when his tank is 1/4 full.

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describe what we mean by cost, revenue and profit

Answers

Answer:

In business and economics, cost, revenue, and profit are key concepts that relate to the financial aspects of a business.

Cost refers to the expenses incurred by a business in order to produce, sell or distribute its products or services. This includes direct costs, such as the cost of raw materials, labor and overhead expenses, as well as indirect costs, such as marketing and administrative expenses.

Revenue, on the other hand, refers to the income generated by a business through the sale of its products or services. Revenue can be calculated by multiplying the price of a product or service by the number of units sold.

Profit is the difference between revenue and cost, and is a measure of how much money a business earns after all of its expenses are paid. A business earns a profit when its revenue exceeds its total costs, including both fixed and variable costs.

Profit can be further broken down into gross profit and net profit. Gross profit is the difference between revenue and the direct cost of producing or delivering a product or service. Net profit, on the other hand, is the profit that remains after all expenses, including indirect costs, taxes and interest payments, have been deducted from revenue.

In summary, cost refers to the expenses incurred by a business, revenue refers to the income generated by the sale of products or services, and profit is the difference between revenue and cost, indicating how much money a business earns after all expenses are paid.

Step-by-step explanation:

What is 2 times the square root of 48 - the square root of 3 simplified

Answers

2 times the square root of 48 minus the square root of 3 simplified is 7√3.

what is square root?

The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, it is the inverse operation of squaring a number. For example, the square root of 16 is 4 because 4 multiplied by itself (4 x 4) equals 16.

The symbol used to represent the square root is √. So, the square root of 16 is written as √16.

To simplify this expression, we can first simplify the square root of 48.

We know that 48 can be written as 16 x 3, and since 16 is a perfect square, we can simplify the square root of 48 as follows:

√48 = √(16 x 3) = √16 x √3 = 4√3

Now we can substitute this value into the expression:

2(4√3) - √3 = 8√3 - √3 = 7√3

Therefore, 2 times the square root of 48 minus the square root of 3 simplified is 7√3.

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Rahul bought a pencil for Rs. 73.50, a pen for Rs. 68.75 and a paint box for Rs. 112.35. He gave Rs. 500 to the shopkeeper and got back Rs. 345.40. He, however, returned Rs. 100 back to the shopkeeper. Was Rahul correct in returning Rs. 100 to the shopkeeper?

Answers

999.dudbdhehdhdvd CA face fsa fads vs fedwcacacaavavavavavavab

Answer:

Yes he was correct in returning the 100

Step-by-step explanation:

Pen 68.75

Pencil 73.50

Paint box 112.35

Add all together, you get 254.60

If he paid 500 to the shopkeeper, he will collect (500.00-254.60) =245.40

If the shopkeeper gave him 345.40, then he had an excess and should give back the 100

A trapezoidal flower garden is shown below. what is the area of the garden

Answers

The area of the trapezoidal flower garden from the dimensions is 123.5 square meters

What is the area of the garden

The trapezoidal flower garden represents the given parameter, where we have the following readings

Parallel sides = 9 m and 10 m

Height = 13 m

Using the above dimensions, we have the area to be

Area = 1/2 * Sum of parallel sides * Height

When the dimensions are substituted, we have

Area = 1/2 * (9 + 10) * 13

Evaluate the products

Area = 123.5

HEnce, the area is 123.5 square meters

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[tex]7x + 3y = 13 \\ 2x - 3y = - 4 [/tex]
how can i solve them simultaneously?

Answers

use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

Answer:

Step-by-step explanation:

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

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How does the setting create conflict in this passage? Passage American history O The narrator feels uncomfortable because herfamiliar neighborhood seems different. O The narrator is scared because she does notrecognize anyone she sees on the streets. O The narrator becomes angry about what the menare saying. O The narrator has to avoid the high school crowd atthe drugstore Describe the traditional role of a woman in the 1960s. As implied by the course, what financial benefits will you gain from sharing knowledge about healthy living with your clients? A. None; clients will be healthier and will not need to return to you for further therapy sessions. B. You may meet people that are able to invest in any businesses you have.C. You create a connection and gain the trust of you clients, thus ensuring that they'll build long-lasting therapist-client relationships with you. D. You create a connection and gain the trust of your clients, thus effectively gaining access to possible financial opportunities from them. Can someone please help meee? :( Giving BrainlistPlease show the steps :)Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Let f(x)=2x+4 and g(x)=6x -7. Find f(x)g(x). Find the exact value of the following, using the point on the unit circle and the terminal side of each angle. State the point you used to find each trigonometric function value.Show all work for all there.Cos 17/6sin 20/3tan 15/4 The purpose of this assignment is to persuade your parent(s)/guardian(s) to allow you to do something they do not want you to do .The form of the assignment will be a one-page(minimum)letter to your parent(s)/guardian(s) in which you attempt to win their permission to do something.You may use the personal letter from a business format.Remember that the audience.of course,will be your parent(s)/guardian(s)- - an audience opposed to what you have to say.You must speak directly to them and use forceful,but respectful and appropriate language,to convince them of your side of the issue. Comparison between the gravitational force on the 11 Comae Berenices b and that on Earth. Write the subtraction sentence that is shown on the number line (Do not reduce the fractions) A company provides a sales allowance to a customer. How does this affect the company's income statement?A) the allowance is not shown on the income statementB) gross sales are reduced by the amount of the allowanceC) the allowance is included in operating expensesD) the allowance is included in cost of goods sold Find the gradients of lines A and B.26/63 MarksB643211-3-2-10 1 2 3 4 5 62Ado No70%X Resistors of 20 ohms, 20 ohms, and 30 ohms are connected in parallel. What resistance must be added in series with the combination to obtain a total resistance of 10 ohms. If the complete circuit expends 0.36 kW, find the total current flowing. can somebody help me i need help The scale factor of two similar cylinders is 5:2.The volume of the smaller cylinder is 28 m3.What is the volume of the larger cylinder?Question 8 options:700 m3350 m370 m3437.5 m3175 m3 A register has 5376 business cards to give out the register gives out an equal number of business cards in 48 days until there are no more business cards live how many business cards does the register give out each day a 111 business cards be 112 business cards C1 130 business cards D1 114 business cards you have to divide 485376 Which of these is NOT true of a scientific hypothesisA. Must be testableB. A widely accepted explanation for an observation that has broad explanatory powerC. Should account for previously available data and informationD. Is a logical statement that is a tentative answer to a question 1. Consider the Stackelberg game where two firms compete in supply where firm 1 movesfirst and firm 2 moves after observing firm 1's choice. Let the profit function of firm i = {1,2}be given by:(gi, 9j) = (aqiqj - c)qi,jiiwhere ac and qi, qj 0.a. Write out the definition of nash equilibrium and sub game perfect equilibrium [5]b. Write out the strategy sets for firm 1 and 2. [5]c. Find a subgame perfect equilibrium [10]d. Can you find a nash equilibrium that is not sub game perfect? [10] Find the Rate. (Round to the Nearest Tenth)Principal = $900Time = 1 yearInterest = $76.50 A baseball diamond is a square with side length about 27 m.The player throws the ball from second base to home plate.How far did the player throw the ball? Round your answer tothe nearest whole number. Explain the population density of India. (Where do most people live? Where are the capitals? Which region has the lowest density?)