What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.O A. 20 unitsO B. 36 unitsOC.30 unitsO D. 21 units17-6-5-4-3-2- 1230367

We define the following variables:

• x = cost of one-inch blinders,

• y = cost of two-inch blinders.

From the statement of the problem, we know that:

• Rose selected 3 one-inch blinders and 1 two-inch blinder, which cost a total of $23, so we have that:

• Judy selected 5 one-inch blinders and 3 two-inch blinders, which cost a total of $49, so we have that:

We have the following system of equations:

We must solve the system of equations using the elimination method, where you either add or subtract the equations to get an equation in one variable.

1) We multiply the first equation by 3, and we have:

2) Now, we subtract the second equation to the first equation:

3) Replacing the value x = 5 in the second equation, and solving for y we get:

We have found that:

Answer

A one-inch binder costs $5, and a two-inch binder costs $8.

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

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

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

Hence, the factored form is (5x+2)(x-4).

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Hello friend! Hope this helps!

Euler's formula is eⁱˣ=cos(x)+i⋅sin(x), and Euler's Identity is e^(iπ)+1=0. See how these are obtained from the Maclaurin series of cos(x), sin(x), and eˣ.

Answer:

7

Step-by-step explanation:

\(a^{m}*a^{n}=a^{m+n}\\\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{7^{8}*7^{3}*7^{4}}{7^{9}*7^{5}}=\dfrac{7^{8+3+4}}{7^{9+5}}\\\\=\dfrac{7^{15}}{7^{14}}\\\\\\=7^{15-14}=7^{1}\\\\= 7\)

Answer:

7^1

Step-by-step explanation:

since all the bases are same, we're going to use the law (a^m × a^n = a^m+n)

8+3+4= 15, hence, it's 7^15

we'll apply the same law for the denominator, 9+5= 14, so we'll get 7^15 ÷ 7^14

next we're gonna use the law (a^m ÷ a^n = a^m-n where m>n)

15-14 = 1

so our final answer is 7^1

Answer: 65/32

Step-by-step explanation:

The probability of rolling the dice and having the three faces land on top is 1/4.

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place.

In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.

The higher the likelihood, the more likely it is that the event will take place.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n. In order to better grasp probability, let's look at a straightforward application.

So, we are aware of the formula:

P(E) = Favourable events/Total events

Now, substitute the values and calculate as follows:

P(E) = Favourable events/Total events

P(E) = 3/12

P(E) = 1/4

Therefore, the probability of rolling the dice and having the three faces land on top is 1/4.

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Complete question:

A fair die has 12 sides and they are labeled 1, 2, 3, …, 12.  What is the probability of rolling the die and it lands with the 3 faces on top?

Answer:

16+(4*x)=32

Step-by-step explanation:

x is equal to the number of days he did sit ups. You can solve this by solving for x.

The given expression is

3 + 7x - 4 - 4

The constants are like terms. The only different term is the 7x. Thus, by dragging like terms onto each other, it becomes

7x - 4 - 4 + 3

= 7x - 5

We are asked to determine the value of "x". Since we have that:

This means that triangles ABC and DEF are similar and therefore, corresponding sides are in the same proportion as each other. Therefore, we can use the following relationship:

Substituting the values we get:

Simplifying the fractions:

Therefore, the value of "x" is 6.

The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

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

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Answer:

x = 150°

Step-by-step explanation:

Interior angle of a hexagon = 120° and interior angle of a square = 90°

so remaining angle, 360-120-90 = 150°

Answer:

y=2/1+7

Step-by-step explanation:

Answer:

n^2/4

Step-by-step explanation:

If n is the number, squared is n^2

Quotient if this number and four is

n^2/4

The quotient of a number squared and four will be n² / 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The square of a number is the multiplication of that number with itself.

Let the number be n.

Then the square of the number n will be given as,

⇒ n²

The quotient of a number squared and four will be given as,

⇒ n² / 4

Thus, the quotient of a number squared and four will be n² / 4.

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Answer:

1/30

Step-by-step explanation:

The probability of getting ”E” is 1/6.

There is only 1 “E” out of 6 letters.

There is no replacement.

There are now 5 letters without “E”.

”A”, “B”, “C”, “D”, “F”

The probability of getting ”B” is 1/5.

There is only 1 “B” out of 5 letters.

⇒ 1/6 × 1/5

⇒ 1/30

Answer:

20.57

Step-by-step explanation:

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer: Here you go

..........................................

Answer:

1. 2

2. 10

3. 7

4. 3

5. 3

6. 3

7. 3

8. 5

9. 6

10. 4

Step-by-step explanation:

In order to find the greatest common factor (GCF) of two numbers, you need to know what the greatest common factor is. The greatest common factor is the largest positive number, a number can be divided into so to find the greatest common factor you need to list all the integers that the numbers are divisible by and the highest number that both numbers have in common are your GCF.

1.

12, 1, 2, 3, 4, 6, 12

26, 1, 2, 13, 26

GCF = 2

2.

30, 1, 2, 3, 5, 6, 10, 15, 30

40, 1, 2, 4, 5, 8, 10, 20, 40

GCF = 10

3.

35, 1, 5, 7, 35

28, 1, 2, 4, 7, 14, 28

GCF = 7

4.

21, 1, 3, 7, 21

15, 1, 3, 5, 15

GCF = 3

5.

33, 1, 3, 5, 15

15, 1, 3, 11, 33

GCF = 3

6.

27, 1, 3, 9, 27

3, 1, 3

GCF = 3

7.

36, 1, 2, 3, 4, 6, 9, 12, 18, 36

33, 1, 3, 11, 33

GCF = 3

8.

30, 1, 2, 3, 5, 6, 10, 15, 30

5, 1, 5

GCF = 5

9.

30, 1, 2, 3, 5, 6, 10, 15, 30

6, 1, 2, 3, 6

GCF = 6

10.

4, 1, 2, 4

16, 1, 2 ,4, 16

GCF = 4

Hope this helps.

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer: There u go ig

Step-by-step explanation:

Answer:

Base x hieght=square, and rectanguler Formula.

Step-by-step explanation:

If you have 5 as the base number and 3 for the hieght, you will multiply 5 by 3. that is odvi 15.