Q: Find the area of the figure shown below and choose the appropriate result.
3 m
2 m
4
m

Answer:

Exact Form:

149 /5

Decimal Form:

29.8

Mixed Number Form:

29 4 /5

Step-by-step explanation:

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Answer:

29 8/10

Step-by-step explanation:

because since the denominaters are the same you can just add the fractions.

5+3=8 and 20+9=29

To find the amount of the increase, calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year. The amount of the increase is $170.

To find the amount of the increase, we need to calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year.

First, let's calculate the initial premium per $1,000 at age 48:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $4.70 = $470,000  (initial premium)

Next, let's calculate the premium per $1,000 when Taylor Breen will be 53 years old:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $6.40 = $640,000  (premium at age 53)

The amount of the increase is:

$640,000 - $470,000 = $170,000

Therefore, the amount of the increase is $170.

Answer:

The second answer

XYZ-RQS

Step-by-step explanation:

Answer:

335.5 in^2

Step-by-step explanation:

The area is a rectangle and a triangle

The area of the rectangle is

A = a*b where a is 11 and b is 25

A = 11*25 =275

The area of the triangle is

A = 1/2 b*h  where b is 11 and h is 11

A = 1/2 (11) * 11

A = 60.5

The total area is 275+60.5=335.5

Answer:

  PLATINUM = 11

Step-by-step explanation:

It appears that the "code" is that vowels count 2 and consonants count 1.

  GOLD = 1 for GLD +2 for O = 3+2 = 5

  LEAD = 1 for LD +2 for EA = 2 +4 = 6

  SILVER = 1 for SLVR +2 for IE = 4 +4 = 8

  URANIUM = 1 for RNM +2 for UAIU = 3 +8 = 11

  PLATINUM = 1 for PLTNM +2 for AIU = 5 +6 = 11

The missing number is PLATINUM =15

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important.

Given that, GOLD = 5, LEAD = 6, SILVER = 8, URANIUM = 11, PLATINUM = ? from the given data we can see its in a sequence let say GOLD=5

so adding natural number (1, 2, 3, 4, ...) in the sequence will give next valueGOLD = 5LEAD = 5+1=6SILVER = 6+2=8URANIUM = 8+3=11

therefore, PLATINUM = 11+4=15

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FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

Answer:

The answer is option 2.

Step-by-step explanation:

It is given that the formula of the volume of rectangular prism is, V = length×width×height. Then you have to substitute the values into the formula to find the volume :

length = 3x

width = 7x

height = 15x

V = (3x) × (7x) × (15x)

= 315x³

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

[tex]$V=\frac{4}{3}\pi r^3[/tex]

[tex]$V=\frac{4}{3}\times 3.142 \times 5^3[/tex]

[tex]$V=523.66[/tex]

[tex]$V=524[/tex]

The volume of the sphere is 524 ft³.

Answer:

B

Step-by-step explanation:

Given

3x² + 21x + 18 ← factor out 3 from each term

= 3(x² + 7x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)

The factors are + 6 and + 1, since

6 × 1 = 6 and 6 + 1 = 7, thus

x² + 7x + 6 = (x + 6)(x + 1)

Thus

3x² + 21x + 18 = 3(x + 6)(x + 1) → B

Answer:

A

Step-by-step explanation:

The required quotient is [tex]7^5[/tex].

To simplify [tex]7^{-4}/7^{-9}[/tex]

The quotient is the outcome value obtained when a particular value divided by a value.

Here,
Simplification,
[tex]=7^{-4}/7^{-9}\\=7^{-4}*7^{9}\\=7^{-4+9}\\=7^5[/tex]

Thus, the required quotient is [tex]7^5[/tex].

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Answer:

y=1/3x-6

Step-by-step explanation:

equation: y=mx+b

m=slope, b=y-intercept

equation: y=1/3x-6

Answer:

{-2/7, 2/7}

Step-by-step explanation:

Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.

49w^2-4=0 is the product of the sum and difference of two squares:

(7w - 2)(7w + 2) = 0

Setting each factor equal to zero and solving for w, we get:

{-2/7, 2/7} as the solutions.

Answer:

c

Step-by-step explanation:

I'm pretty sure it's asking for the circumference. The formula for finding the circumferene is C=πd (d=diameter) First, you need to fiind the diameter. Thequestion gives you the radius, 6.5, which is half the diameter. multiply that by 2 and you get 13. The question says to use 3.14 as π, so just multiply 3.14 by 13 and you get 40.82, which rounds to 41.

Answer:

D

10

Step-by-step explanation:

The requried Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

To determine the number of different ways Rocco can wear his shirts with jeans, we need to multiply the number of options for shirts by the number of options for jeans. In this case, Rocco has 5 different shirts and 2 different pairs of jeans.

Since he can wear any shirt with any pair of jeans, the total number of different combinations is obtained by multiplying the number of shirts (5) by the number of jeans (2):

5 shirts * 2 pairs of jeans = 10 different ways

Therefore, Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

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A statistical question that Jason can be asked is How many pictures were painted each day for the first month .

It is the branch of Mathematics which is used to observe , analyze and predict data.

It has usage in many fields to predict weather , stock prices etc.

It is given that Jason has been painting pictures every day for the last three months

Statistics involve accumulating data of a single event at various occasions

A statistical question that Jason can be asked is How many pictures were painted each day for the first month

As this involves an event of painting a picture and the same work is done daily , The statistical question in this is that no. of painting that are painted each day is asked .

Therefore Option A is the correct answer.

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Answer:

The relationship between two variables is called their correlation The relationship between two variables is called their correlation

Step-by-step explanation:

Answer:

Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.

Answer:

no

Step-by-step explanation:

you divide the first one then multiply and find out if it is

and it turns out not

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Final answer:

To solve the system of equations, use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite. Add the two equations together to eliminate 'x' and solve for 'y'. Substitute the value of 'y' into one of the original equations and solve for 'x'. The solution to the system of equations is x = -5/2 and y = -1.

Explanation:

To solve the system of equations:

4x + 9y = -19

-4x - 7y = 13

We can use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite:

16x + 28y = -52

Now, add the two equations together to eliminate 'x':

37y = -39

Divide both sides by 37:

y = -1

Substitute the value of 'y' into one of the original equations:

4x + 9(-1) = -19

4x - 9 = -19

Add 9 to both sides:

4x = -10

Divide both sides by 4:

x = -10/4 = -5/2

Therefore, the solution to the system of equations is x = -5/2 and y = -1.

Answer:

Here you go, your equation should look a lot like this:

x²-16 -----> (x+4)(x-4).

Step-by-step explanation:

It's an example of what you should be writing depending on your answer. You did not include any details about your question.

The polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order. Polynomials are used in management, computer, and math-based occupations. Variables and constants are utilized to define numbers that are known and unknown in expressions in all professions that need proficiency with polynomials.

We have to define a polynomial that is a difference of squares we have to also do factors for that polynomial.

The polynomial that is a difference of squares is found as,

x²-16

Used the below identity in order to factorize the polynomial,

a²-b²=(a+b)(a-b)

16 in its square form is written as 4².

x²-4² = (x+4)(x-4)

Thus, the polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).

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Answer: No her plates will not fit in the box

Step-by-step explanation: Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.

The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in  and solving for height  we get

,

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

Answer:

x^{2}+10x+7 is the simplified function

Step-by-step explanation:

I also graphed the function below, if you needed it!

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Answer: -1 is not in the domain and 0 and 2 are in the domain

Step-by-step explanation:

The domain of the function g(x) = “8x” is all real numbers, as there are no restrictions on the values that x can take.

The question seeks to find the domain of a function represented as g(x) = “8x. A function's domain refers to all the possible values that can be input into the function. In the case of g(x) = “8x, this is a linear function where x can take any real number value since there are no restrictions like square roots or denominators that could potentially exclude certain x values. Therefore, the domain of g is all real numbers, often represented as (-∞, +∞) or ℝ in set notation.

Answer:

6+4i

Step-by-step explanation:

the conjugate of a complex number a + bi is the number a- bi

Answer: 12+6x

Step-by-step explanation:

add like terms

Answer:

12+6x

Step-by-step explanation:

5+2=7

2x+4x=6x

Plug the two expressions together and you will have 12+6x

Answer:

3/5

Step-by-step explanation:

16g

20r

14y

=50 marbles

16/50 = 3.5/10

20/50 = 4/10

14/50 = 3/10

= 16/50 + 14/50 = 30/50 = 3/5

Answer:

Step-by-step explanation:multiply then round

Answer:

24

step-by-step explanation:

24

Answer:

it's 24

Step-by-step explanation:

Answer:

125 students

Step-by-step explanation:

The following table is missing:

Number of Devices Number of Students

1                                 18

2                                 25

3 or more                 7

Total                                50  

From the sample, we can estimate that 25/50 = 0.5 or 50% of the students have exactly two Internet-compatible devices. Then there are 0.5*250 = 125 students who have exactly two Internet-compatible devices in Brianna’s school.

Answer:

a) 9x + 12

b) 48 m

Step-by-step explanation:

Perimeter is the sum of all sides:

12 + 5x + 4x

12 + 9x

x = 4

12 + 9(4)

48

Answer:

18.5 ft (to the nearest tenth)

Step-by-step explanation:

The diameter of the circle passes through the center of the circle and divides the width of the circle into two equal parts.

We complete the circle and apply the Law of Intersecting Chords.

In the diagram, by this law:

AB X BC =DB X BE

7*x=14.5X14.5

x=14.5X14.5÷7

x=30.04

Therefore:

Length of the Diameter= 7+30.04 ft=37.04 ft

Radius =37.04/2= 18.5 ft

The radius of the circle should be 18.5 ft (to the nearest tenth).

Since there is the bridge is 7 ft tall and 29 ft wide.

Also,

here we apply the Law of Intersecting Chords.

So,

[tex]AB \times BC =DB \times BE\\\\7\times x=14.5\times 14.5\\\\x=14.5\times 14.5\div 7[/tex]

x=30.04

Now

Length of the Diameter= 7+30.04 ft=37.04 ft

So, Radius = 50% of 37.04 =  18.5 ft

Hence, The radius of the circle should be 18.5 ft (to the nearest tenth).

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