Find the third side in simplest radical form: 25 24

Answer:

16^2+32cd+16d^2

Step-by-step explanation:

(4c×4d)(4c+4d)

16c^2+32cd+16d^2 use the foil method

Answer is -4

Step-by-step explanation:

8x-4< -36

8x < -36+4 (move [- 4] to the other side to find x)

8x < -32

8x < -4

Answer:

x < -4

Step-by-step explanation:

8x - 4 < -36

+4           +4 (Add 4 on both sides)

8x < -32

/8      /8        (Divide by 8 on both sides)

x < -4

Answer:

111

Step-by-step explanation:

we can get by finding the difference of 180 degree minus 69 degree

x+69 degree = 180 degree

x= 180 degree-69 degree

x=111 degree

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

=-2x(x^2+2x+3)

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

Step-by-step explanation:

f(g(x) = f(2x^2-1)

Given f(x)=2x

f(g(x) = 2(2x^2 - 1) = 4x^2 - 2

The final answer is (a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴.

Pascal's Triangle is a useful tool in expanding binomial expressions, which is a fundamental concept in algebra. For example, let's expand (a+b)⁴ using Pascal's Triangle.

Step 1: Write out Pascal's Triangle to the 4th row, as follows:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

Step 2: Write out the coefficients in the binomial expression (a+b)⁴:

(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

Step 3: Substitute the coefficients from Pascal's Triangle into the binomial expression:

(a+b)⁴ =  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

=  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

= 1(a⁴) + 4(a³b) + 6(a²b²) + 4(ab³) + 1(b⁴)

= (1)(a⁴) + (4)(a³)(b) + (6)(a²)(b²) + (4)(a)(b³) + (1)(b⁴)

Step 4: Simplify the expression to get the final answer:

(a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴

Notice how the coefficients of each term in the expanded expression (1, 4, 6, 4, 1) correspond to the fourth row of Pascal's Triangle. Pascal's Triangle provides a quick and easy way to determine the coefficients of a binomial expansion for a given power of the binomial expression.

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The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

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

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

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

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

Answer:

135..........................

Answer: 45*3= 135

135 is the answer for 45*3.

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.

So, Each good he buys at (100 - 10)% = 90% of the value before tax.

He wants to buy some items that cost $11  before the discount and tax.

Therefore the amount he has to pay is,

= (90/100)×11.

= $9.9

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The number of yellow pins will be 14.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Greg ordered a set of yellow and orange pins. He received 25 pins, and 36% of them were yellow.

The number of the yellow pins will be calculated as:-

36% of the pin = ( 25x 36 ) / 64

36 % of te pin = 14

Therefore, the yellow pins will be 14 in number.

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Answer:

X intercept: 4

Y-intercept: 6

Step-by-step explanation:

To find the intercept of either x or y, you make the other letter equal to 0. So, to find the x-intercept, you would make y 0 and solve from there by dividing 12 by 3 leaving 4. Then you would do the same with making x equal to zero: 12/2= 6

I hope this helped!

Answer:

5y

4x

Step-by-step explanation:

Answer: C. 20-.40p

Step-by-step explanation:

We know that from the given information that each pound is worth 40 cents, and that its being subtracted from the twenty dollar bill.  

"Why are the others choices wrong?"

A. p-20, isn't the proper equation due to the stated information.

B. B. 20 -40p, this equation has Zelma pay $40 dollars each pound, which isn't correct due to what the text has stated ("for 40 cents per pound").

D. 40p-20, from the given text, this equation is wrong ("She pays the clerk with a twenty-dollar bill), it never states that she will be charged twenty dollars, or be given forty for each pound.

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Step-by-step explanation:

Let's first write the given information in an equation. Let "y" be the number obtained by reversing the digits of "x". Then we can write:

x + y = 7777

We want to find the smallest possible value of x, so we should start by minimizing y. Since y is obtained by reversing the digits of x, we can assume that y is obtained by reversing the digits of the smallest possible value of x, which is obtained by using as many zeroes as possible in x. In other words, we assume that x is of the form:

x = abcde

where a, b, c, d, and e are digits, and a is not zero. Then y is obtained by reversing the digits of x:

y = edcba

We can write y in terms of x as follows:

y = 10000a + 1000b + 100c + 10d + e

Now we can substitute this expression for y into the equation x + y = 7777:

x + (10000a + 1000b + 100c + 10d + e) = 7777

Simplifying this equation, we get:

10001a + 1001b + 101c + 11d = 7777 - x

The left-hand side of this equation is divisible by 11, since 10001, 1001, and 101 are all divisible by 11. Therefore, the right-hand side must also be divisible by 11. We can write:

7777 - x = 11k

where k is an integer. Solving for x, we get:

x = 7777 - 11k

Since we want to find the smallest possible value of x, we should use the smallest possible value of k that makes x positive. Since a is not zero, the smallest possible value of k is obtained by setting a = 1 and b = c = d = e = 0. Then we have:

x = 7777 - 11k = 7777 - 11000 + 11000 - 11k

= 3223 + 11(1000 - k)

For x to be positive, we need 1000 - k to be nonnegative, or equivalently, k ≤ 1000. The smallest possible value of k is therefore 1000, which gives:

x = 3223 + 11(1000 - 1000) = 3223

Therefore, the smallest possible value of x is 3223.

Answer:

The three numbers are 5,6&7

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

the second option: (x-1)squared +2

Explanation:

The x value of the vertex can be found in the parenthesis after the x. However, you have to do the opposite value of it. So, since the paranthesis has (x-1) then that means that the vertex's x-value has to be 1.

For the y-value of the vertex, that can be found after the paranthesis. This value will not be used as the opposite like with the x-value. So, we know that in (x-1)^2 +2 the "+2" indicates the y-value to be 2.