Segment KL is tangent to ⊙ J. If KL¯¯¯¯¯¯≅JK¯¯¯¯¯, what is m∠J? The image is of a circle with centre P and having a sector KJM. KL is tangent to the circle. Points J, M and L are joined to form a horizontal line and thus a triangle KJL is formed.

Final answer:

The simplified product of the square root of 8 and the square root of 98 is determined by multiplying the numbers under the square roots to get √784, which is a perfect square. Hence, the product simplifies to 28.

Explanation:

To find the simplified product of the square root of 8 and the square root of 98, we can use the property of square roots that allows us to multiply the numbers under the radicals first, before taking the square root of the resultant product. This is a form of simplifying square roots when dealing with exponentials.

Firstly, multiply the numbers inside the square roots:

√8 × √98 = √(8 × 98)

Calculate the product:

8 × 98 = 784

Now we have:

√8 × √98 = √784

By squaring of exponentials, we know that the square root of a perfect square is the base number:

√784 = 28 (since 28 × 28 = 784)

Therefore, the simplified product is 28.

The simplified product of the square root of 8 and the square root of 98 is 28, achieved by using the property of radicals and simplifying the exponents within the radical.

To find the simplified product of the square root of 8 and the square root of 98, we can use the property of radicals where the product of two radicals can be combined into one radical, such that √(a) * √(b) = √(ab). To simplify further, we factor each number into its prime factors: 8 = 2³ and 98 = 2 * 7². We then combine the radicals: √(8) * √(98) = √(2³) * √(2 * 7²) = √(2´ * 7²).

Based on the properties of exponents and radicals, we can take the square roots of exponentials by finding which factors have exponents that are multiples of 2. In our case, we have 2´, which simplifies as 2², and 7², which is already a perfect square. Thus, √(2´ * 7²) simplifies to 2² * 7 = 4 * 7 = 28. So the simplified product of √(8) * √(98) is 28.

i think your answer is 22.5 because if you divide 15 by 8 to find out how each one works you get 1.875 and take that and multiply it by 12 because 3 stopped, you would have 22.5

Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.

Step-by-step explanation:

Since we have given that

A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).

So, we need to find the point estimate of the proportion of residents who are against expanding the airport.

So, Point estimation of the proportion of resident would be

[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]

Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.

To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.

To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.

First, we add the number of guests and staff to find the total number of people at the party:

Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:

(Total number of people) ÷ (Servings per cake) = Number of cakes

73 ÷ 24 = 3.04166667

Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.

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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.

 First, we add the number of guests to the number of staff:

70 guests + 3 staff = 73 people in total.

 Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:

73 people · 24 servings per cake = 3 cakes with some servings left over.

 Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.

 In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

To find the required square feet of wood for the back of a shed, multiply the height by the width of the back wall to calculate its area.

To determine how many square feet of wood are needed to build the back of a shed, you need to know the height and width of the back wall of the shed. Assuming you have these measurements, you calculate the area in square feet by multiplying the height by the width.

For example, if the back of the shed is 10 feet high and 12 feet wide, you would calculate the area as follows: 10 feet (height) x 12 feet (width) = 120 square feet. This calculation gives you the total area in square feet of the wood needed for the back of the shed. Remember, the area of a flat surface is calculated by the formula length x width.

To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.

The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.

In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.

Once we have the area, we can substitute the values into the formula and calculate the force.

Answer:

A,C,F

Step-by-step explanation:

Which phrases can be represented by the expression 60w? Check all that apply.

the product of sixty and a number

sixty times a number

the difference of a number and sixty

the quotient of a number and sixty

a number divided by sixty

the sum of a number and sixty

Answer:

Phrases 2) a number plus 14, 4) fourteen more than a number and 7)  a number increased by 14 can be represented by the given algebraic expression.    

Step-by-step explanation:

We are given an algebraic expression:

[tex]x + 1`4[/tex]

1) the quotient of a number and 14

2) a number plus 14

Let x be the number then, it can be written as x + 14

3) fourteen less than a number

4) fourteen more than a number

Let x be the number, then, it can be written as x + 14

5) fourteen taken away from a number

6) the product of fourteen and a number

7)  a number increased by 14

Let x be the number, then, it can be written as x + 14

Phrases 2) a number plus 14, 4) fourteen more than a number and 7)  a number increased by 14 can be represented by the given algebraic expression.

Answer:

The amount of Mark's Total payment is $9478.15.

Step-by-step explanation:

Given : Mark borrowed $5,500 at 11.5 percent for five years.

To find : What is the amount of Mark's total payment?          

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where A is the amount, 

P is the principle P=5,500  

r is the rate r=11.5%=0.115

t is the time t= 5 years

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=5500(1+0.115)^5[/tex]

[tex]A=5500(1.115)^5[/tex]

[tex]A=5500(1.7233)[/tex]

[tex]A=9478.15[/tex]

Therefore, The amount of Mark's Total payment is $9478.15.

Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.

In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).

Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.

So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.

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Answer:

only A. and E.

Step-by-step explanation:

The answer would be option(A) and (E) are show a geometric series.

A. 2 + 3 + 4.5 + 6.75 + …

E. 8 + 4 + 2 + 1 + …

Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.

The standard equation for geometric series as:

Tₙ = a₁ rⁿ⁻¹

where a₁ is the first term and r is the common ratio.

A. 2 + 3 + 4.5 + 6.75 + …

Here, first term a₁ = 2 ,

The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5

So, this is a geometric series.

E. 8 + 4 + 2 + 1 + …

Here, first term a₁ = 8 ,

The common ratio r = 4/8 = 2/4 = 1/2 = 0.5

So, this is a geometric series.

Hence, the option(A) and (E) are show a geometric series.

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The set of all numbers on a number line is called the "Real Numbers".

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

The set of all numbers on a number line is called the "Real Numbers".

A number that has an equivalent terminating or repeating decimal is called a "Rational Number".

A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".

Any number that can be written as a fraction of integers is a "Rational Number".

Hence, the set of all numbers on a number line is called the "Real Numbers".

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The Distributive Property: a(b + c) = ab + ac.

To find an equivalent expression to 6(m + 3) using the Distributive Property, multiply 6 by each term inside the parentheses.

6 · m = 6m

6 · 3 = 18

The expression becomes 6m + 18.

The error the student made was not multiplying 6 by 3.

Answer:

6 was not multiplied by 3 (the last option).

Answer:

|x-1| / | x-1 | = 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alright, lets get started.

We are given an angle -308 degrees.

A co-terminal angle is an angle which shares the same terminal side of the angle given.

We are asked to find its positive co-terminal angle.

When we find positive co-terminal angle, we add 360 degrees in given angle, so

positive co-terminal angle is : [tex]-308+360=52[/tex]

So, the answer is 52 degree.   :   Answer

Hope it will help :)

The required measure of the number of pounds of berries each person would receive is 1.562 pounds.

Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Total number of berries = 3 3 /8 + 2 7/8
                                        = 5 5 /4 = 25 / 4 pounds

Number of people = 4
pounds of berries each people can have,
=  25/ 4 / 4= 25 / 16
 = 1.562 pounds            

Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.    

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