Find the area of the following composite figures ​

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Actually Welcome to the concept of Functions.

Here, we are given with,

f(x) = 4x + 4 and g(x) = 5x - 8

hence, now we have time get (f-g) (x)

so we get as,

==> (f-g) (x) ==> f(x) - g(x)

===> 4x + 4 - (5x - 8)

==> 4x + 4 -5x +8

==> -x + 12

==> hence, 12 - x

so we get as,

(f-g) (x) ==> 12 - x

Answer: [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given

A box contains 3 chocolate chip cookies, 2 oatmeal raisins, and 4 gingerbreads

First Probability of selecting a chocolate chip is

[tex]\Rightarrow \dfrac{3}{9}[/tex]

After that there are 8 items left. So probability of selecting a gingerbread

[tex]\Rightarrow \dfrac{4}{8}[/tex]

On combining, the required probability is

[tex]\Rightarrow \dfrac{3}{9}\times \dfrac{4}{8}\\\\\Rightarrow \dfrac{1}{6}[/tex]

The equation  y = x + 0.4x is the retail price y in dollars for an item with the original cost and a markup of 40% .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

So, we choose the first equation.

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Answer: 21

Step-by-step explanation: you add and subtract

Answer:

21

Step-by-step explanation:

Answer:

144

I wish you luck in your assignments.

Answer: 144 articles

Step-by-step explanation:

If it makes 12 in half-hour, then 24 in an hour because 12*2 is 24.

then 24*6=144.

Answer:

  y +8 = -1/9(x -9)

Step-by-step explanation:

You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.

The equation of the line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...

  y +8 = -1/9(x -9)

Answer:

Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude.

Step-by-step explanation:

Answer:

2x= 1

hope it is helpful to you

Answer:

D. none

Step-by-step explanation:

The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.

Answer: none

Answer: question number 2 is A dot plot shows data with small sets of numbers and a histogram shows data with large sets of numbers  

Step-by-step explanation:

Answer:

81.54

Step-by-step explanation:

% of a # = (% * #)/100

% = 108
# = 75.5

(108 * 75.5)/100

8,154/100

81.54

OR

% of a # = (%/100) * #

% = 108
# = 75.5

(108/100) * 75.5 = 1.08 * 75.5

81.54

Answer: [tex]114.9\ in.^3[/tex]

Step-by-step explanation:

Given

The radius of the hemisphere is [tex]r=3.8\ in.[/tex]

The volume of a hemisphere is given by

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

Insert the value

[tex]V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3[/tex]

Answer:

C = $30 + $0.05M

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

Answer:

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

C = $30 + $0.05M

Answer: four out of 52 to pull a jack

Step-by-step explanation:

Answer:

The perimeters of ΔJKL and ΔPQR are equal

Step-by-step explanation:

Given

[tex]\triangle JKL[/tex] to [tex]\triangle PQR[/tex]

Reflection over a vertical line

Required

The perimeter of both triangles

When a shape is transformed to another through reflection, the side lengths and angle of both shapes will be the same.

Hence, the side lengths of ΔJKL and ΔPQR  are the same

This means that the perimeter of both shapes will be the same

Answer:.029

Step-by-step explanation:

The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15.  Multiply these together to get the total probability:

6/17 x 5/16 x 4/15 = .029

ps: have a nice day :)

Answer:

Step-by-step explanation:

  3 [tex]\frac{1}{6}[/tex]

+  1 [tex]\frac{5}{6}[/tex]

_______

4 [tex]\frac{6}{6}[/tex]   =  5 pounds

[tex]\frac{6 }{6}[/tex]  = 1  add this to the 4 and you have 5 pounds total

The area of the circle is  1256.64 square inches.

All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The diameter of the cylindrical barrel is 20 in

So the diameter of the circular base is 20 in = 10 inches in radius.

Area of the circle = [tex]\pi\ r^{2}[/tex] =  π*20*20 = 1256.64 square inches.

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Answer:

t10 = 59x - 30

Step-by-step explanation:

a = 5x + 6

d = 11x + 2 - 5x - 6

d = 6x - 4

n = 10

tn = a + (n - 1)*d

t10 = 5x + 6 + (10 - 1) ( 6x - 4)

t10 = 5x + 6 + 9(6x - 4)

t10 = 5x + 6 + 54x - 36

t10 = 59x - 30

Check by finding the 3rd term

d = 6x - 4

n = 3

a = 5x + 6

t3 = 5x + 6 + (3-1)*(6x - 4)

t3 = 5x + 6 + 2(6x - 4)

t3 = 5x + 6 + 12x - 8

t3 = 17x - 2 which is exactly what it should be.

Answer:

y = 3/4x + 5

Step-by-step explanation:

Slope intercept form is represented by the formula y = mx + b where m is the slope and b is the y-intercept. You were given the slope, but to write the equation, you also need the y-intercept.

First, plot the point they gave you (-8, -1) on a graph. Then use the rise over run of the slope (rise 3 and run 4) to find the next points until x = 0 (where the line crosses the y-axis). As you can see in the image, I plotted the points. 5 is the y-intercept because it is the y value on the line when x = 0.

So with the slope 3/4 and the y-intercept of 5, you can substitute the values and get your equation:

y = mx + b

y = (3/4)x + (5)

y = 3/4x + 5

The probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

What is the Central Limit Theorem?

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

We can use the Central Limit Theorem to determine that the sampling distribution of the mean thickness of a random sample of size 17 from a population with a mean of 200 units and a standard deviation of 12 units will be approximately normal with a mean of 200 units and a standard deviation of (12 units)/√17 = 2.8 units.

Given that the mean thickness in these 17 measurements x is farther than 3 units away from the target value, we can use the standard normal table to find the probability.

Let's call X = mean thickness,

if X > 203, we have P(X>203) = P(Z> (203-200)/2.8) = P(Z>1.071) = 0.15

if X < 197, we have P(X<197) = P(Z< (197-200)/2.8) = P(Z<-1.071) = 0.15

Hence, the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

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Answer:

add 7 to both sides

then you are left with 5f=30

divide by 5 on both sides

you get f=6

Step-by-step explanation:

Step-by-step explanation:

f(x) = 2 x 3x

2 x 3x

2 (-2) 3(-2)

-4-6=-10

Step-by-step explanation:

f(x)=2 x 3x

2 x 3x

2(-2) 3 (-2)

-4 - 6 = -10

With the help of equations we can say that, the wedding had 96 attendees.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it.

According to our question-

x is the total number of wedding attendees.

1/3 of the attendees =1/3 who chose pasta=1/3x----1

Those who selected chicken =5/12x---2

24 people opted for meat.----3

adding 1,2,3

x = 96

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Answer:lll

Step-by-step explanation: