Find the value of n.

Answer:

a) 9

b)3

c)22

Step-by-step explanation:

a)13+14/8-5 =27/3 =9

b) 9+9/4+2= 18/6 = 3

c) 12+16-6=22

Answer:

A- 9

B-3

C-22

Step-by-step explanation:

A-13+7*2/8-(3+2)

13+14/8-5

27/3

9.

B-9+3^2/2^2+2

9+9/4+2

18/6

3.

C-(10+2)+(4^2-6)

(12)+(16-6)

12+10

22

The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

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Answer:

Step-by-step explanation:

2x×1=(√3)²

2x=3

x=3/2

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer:

x<12

Step-by-step explanation:

5(x+5) < 85

Divide each side by 5

5(x+5) /5 < 85/5

x+5 < 17

Subtract 5 from each side

x+5-5 < 17-5

x<12

Answer:

x<12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

48.6g

Step-by-step explanation:

72.9 / 9 = 8.1 (divide by 9 to get the amount of sugar needed for 1 cake)

8.1 x 6 = 48.6 (multiply it by 6 to get the amount of sugar needed for 6 cakes)

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

Answer:

171.2

Step-by-step explanation:

7% x 160 = 11.2

11.2 + 160 = 171.2

Answer:

the commission amount does an agent make is $100

Step-by-step explanation:

The computation of the commission amount does an agent make is as follows:

= Commission percentage × policy amount

= 10% × $1,000

= $100

Hence the commission amount does an agent make is $100

It could be determined by applying the given formula so that the correct amount could come

Answer:

B. 1 inch = 0.5 miles

Step-by-step explanation:

trust

Answer:

I think the answer was 190,000 people that can fit comfortably in 25 feet square. Moreover, 30 x 5280x 2=316,000 so take that times 0.6 and get the answer.

Not sure if this is exactly what you are wanting but is it 15:25??

The P-intercept of the function P(x) is 0.

The n -intercepts of the function are n = 0, -3 and -7

We are given the function;

P(n) = 3n⁴ + 30n³ + 63n²

Now, the P intercept of the function P(n) will occur when n = 0. Thus;

P(0) =  3(0)⁴ + 30(0)³ + 63(0)²

P(0) = 0

Thus, the P intercept of the function P(x) is 0.

Now, the n-intercept will be the roots of the given function P(x). Thus;

3n⁴ + 30n³ + 63n² = 0

n²(3n² + 30n + 63) = 0

Thus;

n² = 0 or 3n² + 30n + 63 = 0

Using quadratic equation calculator we have;

n = 0, -3 and -7

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The approximate average percent increase per year in student enrollment at the university is = 5%. That is option A.

Initial number of student = 14,000 students

Total number of students over 6 years = 20,000 students

The total additional students for 6 years,

= 20,000- 14,000

= 6,000 students.

Therefore every year additional 1000 students where admitted into the local university.

The average percent increase per year in student enrollment at the university,

= 1000/20000 × 100

= 100000/20000

=5%

Therefore, the approximate average percent increase per year in student enrollment at the university is = 5%.

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Answer: i think its B

Step-by-step explanation: Because ✨

Answer:

47

Step-by-step explanation:

Add the numbers into the expression. Use PEMDAS to solve. Multiply 15 and 2 first, then go left to right. 20-5=15. 15+30 (got 30 from 15 times 2) =45. 45+2= 47.

Answer:

the numbers that right of the origin on the x axis are positive numbers

Answer:

positive

Step-by-step explanation:

positive runs on the right of x -axis

negative runs on the left of the x-axis

prime and odd will never be running on either side of x-axis

hope it helps!!!!!!

The calculated number of plants the flower bed can contain is 120

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

Dimensions = 16 m by 9 m

So, the area of the flower bed is

Area = 16 * 9

Evaluate

Area =  144

Also, we have

Each plant requires a space of 1.2m x 1m?

This means that

Plant area = 1.2 * 1

Plant area = 1.2

So, we have

Plants = 144/1.2

Evaluate

Plants = 120

Hence, the number of plants is 120

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Answer:

Step-by-step explanation:

To calculate the number of plants that can be planted in the rectangular flower bed, we need to calculate the area of the flower bed and divide it by the space required for each plant.

The area of the flower bed is calculated by multiplying its length and breadth.

So, the area of the flower bed is 16m x 9m = 144 sq.m.

Each plant requires a space of 1.2m x 1m = 1.2 sq.m.

Therefore, the number of plants that can be planted in the flower bed is:

144 sq.m. ÷ 1.2 sq.m./plant = 120 plants.

So, you can plant 120 plants in the rectangular flower bed.

Answer:

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Step-by-step explanation:

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Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Answer:

(x, y) → (x – 3, y + 5)

Step-by-step explanation:

If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y +  5  and if moving left or right affects the x coordinate and moving left is negative so x - 3

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is: (x, y) → (x – 3, y + 5)

~Lenvy~

Answer:

a = 75

Step-by-step explanation:

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

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Answer:

rotation ,then reflection

The probability that the first roll is a total of at least 5 and the second roll is a total of at least 4  is 0.764 or 76.4%.

The probability is the chance that an expected event occurs out of many possible events.

For two independent events happening, we use the rule of multiplication of independent events based on dice probabilities.

The event that the first roll is a total of at least 5 = A

In the event that the second roll is a total of at least 4 = B

The number of faces on each die, n = 6

The probability of event A = ³⁰/₆ = ⁵/₆

The probability of event B = ³³/₃₆ = ¹¹/₁₂

Multiplying the two probabilities, P(A) and P(B) = ⁵/₆ ​× ¹¹/₁₂

= ⁵⁵/₇₂ = 0.764

Thus, there is a ⁵⁵/₇₂ or 0.764 chance that the first roll is at least 5 and the second roll is at least 4.

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Answer:

No

Step-by-step explanation:

For this problem let the ratio stand for pages: minutes. Emeline can type at a ratio of 10:4. Simplify by dividing by the greatest common factor. In this case, that is 2. So, the final ratio is 5:2. Merle's ratio is 15:5. Simplify this ratio the same way, using 5 as the GCF, to make a final ratio of 5:3. Since 5:2 is not the same as 5:3, they are clearly not equal ratios.

Domain: -∞ < x < ∞

Range: -1 ≤ y ≤ 1

Option A is correct

The given function is:

y = cos x

The graph of y = cos x is plotted below

The domain of a function is a set of all the valid/real inputs of that function

The range of a function is a set of all the valid/real outpouts

Note that the given cosine function (y = cos x) can take in all real values of x. This means that is domain is a set of all real numbers

cosx has a range between -1 and 1

Therefore, the domain and range of y = cos x are:

Domain: -∞ < x < ∞

Range: -1 ≤ y ≤ 1

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

the slope is -1/2

Step-by-step explanation:

If you go down 1 unit from one point on the line and then right 2 units you will end up at another point on the line.