Given 4 < x < 9 and 5-y< 4, where x and y are integers. Find the maximum value of x - y. A 5 C8 B6 D 7 ​

Answer:

angle 2 = 38° { because they are corresponding angles ,so they are equal }

Answer:

Step-by-step explanation:

∠2 = 38    {corresponding angles}

A pair of angles on the same side of the transversal, one of which is and interior angle and the other one is an exterior angles, but do not form a linear pair, is known as corresponding angles

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

Answer:

combine like terms

Step-by-step explanation:

Pretty sure it's the correct answer.

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

Answer:

x=17.5 we do that 5*3.5 =17.5

Answer:

yes it is

Step-by-step explanation:

decimals and fractions are rational numbers

Answer:

no

Step-by-step explanation:

as it cannot be expressed as an integer or a quotient of an integer.

The statement "if n = 2k - 1 for k ∈ N, then every entry in row n of Pascal’s triangle is odd" is true.

Pascal's triangle is a triangular array of numbers where each number is the sum of the two numbers directly above it. The first row is just the number 1, and each subsequent row starts and ends with 1, with the interior numbers being the sums of the two numbers above them.

Now, if n = 2k - 1 for some integer k, then we can write n as:

n = 2k - 1 = (2-1) * k + (2-1)

which means that n can be expressed as a sum of k 1's. This implies that the nth row of Pascal's triangle has k + 1 entries. Moreover, since the first and last entries of each row are 1, this leaves k - 1 entries in the interior of the nth row.

Now, we know that the sum of two odd numbers is even, and the sum of an even number and an odd number is odd. Therefore, when we add two adjacent entries in Pascal's triangle, we get an odd number if and only if both entries are odd. Since the first and last entries of each row are odd, and each row has an odd number of entries, it follows that all the entries in the nth row of Pascal's triangle are odd.

Therefore, the statement "if n = 2k - 1 for k ∈ N, then every entry in row n of Pascal’s triangle is odd" is true.

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Answer:

A then E, C then B

Step-by-step explanation:

again, hope this hels

Answer:

1. Quotient; 5.25

2. Divisor; 4.994

3. Dividend; 36.98

4. Quotient; 12.85

5. Divisor; 2.43

6. Divisor; 75.36

Step-by-step explanation:

Answer:

dont know sorry!

Step-by-step explanation:

a

ANSWER

5/10 and 4/10

EXPLANATION

We want to enter fractions given as a pair of fractions that have the same denominator.

The fractions given are:

1/2 and 2/5

To do that, we have to first find the lowest common multiple of the two denominators.

The denominators are:

2 and 5

Their lowest common denominator is 10, since it is the smallest number which is divisible by both numbers.

To put the first fraction in terms of a denominator of 10, we have to multiply the numerator and denominator by 5.

That is:

To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.

That is:

Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.

The value of K that will make the expressions equivalent is 10.

Considering the two expressions:

7 + (1/2)x - 3 + (3/4)x and 1 whole number (1/4)x + k - 6

we shall write the expression 7 + (1/2)x - 3 + (3/4)x in the form of the expression having k and then compare to know the value of k as follows;

(1/2)x + (3/4)x = (2x + 3x)/4

(1/2)x + (3/4)x = 5x/4

7 - 3 = 10 - 3 - 3

7 - 3 = 10 - 6

so;

7 + (1/2)x - 3 + (3/4)x = 5x/4 + 10 - 6

by comparison;

5x/4 is equal to the mixed fraction 1 whole number (1/4)x

k = 10 as obviously -6 is equal to -6.

Therefore, 10 is the value of k that will make expressions equivalent.

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Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

\(\Huge \boxed{a=6}\)

Step-by-step explanation:

\(a-(7-a)=5\)

We need to isolate the \(a\) variable on one side of the equation to find the value.

Distribute the negative sign.

\(a-7+a=5\)

Combine like terms.

\(2a-7=5\)

Add 7 to both sides of the equation.

\(2a=12\)

Divide both sides of the equation by 2.

\(a=6\)

The appropriate domain for the function would be:

{0, 1, 2, 3, 4, 5, ...}

The domain of a function represents the set of all possible values that the independent variable (in this case, the number of candles sold) can take.

In the context of the problem you described, the function's domain should be limited to the realistic range of possible values for the number of candles sold. For example, it wouldn't make sense for the domain to include negative values, since it's not possible to sell a negative number of candles.

Assuming there are no other constraints on the number of candles sold, a reasonable domain for the function could be any non-negative integer since it's unlikely that the seniors would sell a fractional number of candles.

Therefore, the appropriate domain for the function would be:

{0, 1, 2, 3, 4, 5, ...}

This set includes all non-negative integers, representing all the possible values for the number of candles sold.

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Answer:

54

Step-by-step explanation:

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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Answer:

8.

Step-by-step explanation:

(8+4)=12. 12 x 1/2 = 6.

Answer:

500.00    equal

5 × 10      not equal

5 × 10²      equal

50.05     not equal

500.500      not equal

If Ross family purchased washer and dryer set worth $1135 for 9 payments of $132.51 each, then the "interest-rate" of loan is 6.76%.

We first find the total amount of interest paid over the course of the loan.

The total amount of payments made will be:

⇒ 9 payments × $132.51 per payment = $1192.59,

We know that, total amount of interest paid is difference between total amount paid and the amount of original loan:

⇒ Interest = $1192.59 - $1135 = $57.59,

Now, we use formula for "simple-interest" to find percentage rate of loan:

⇒ Simple interest = (principal × rate × time)/100,

The principle is = $1135,

Time of loan in years is = 9/12 = 0.75 year, interest is = $57.59.

So, Rate = (100 × interest)/(principal x time),

Substituting the values,

We get,

⇒ Rate = (100 × $57.59)/($1135 × 0.75),

⇒ Rate = 6.76%

Therefore, the percentage rate of loan is 6.76%.

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The given question is incomplete, the complete question is

Ross family buys a washer and dryer set for $1135 and agrees to make 9 payments of $132.51 each, Find her percentage rate of the loan.

Answer:

Ans :- 2450 total handshakes were there

Step-by-step explanation:

Answer:

1225 handshakes

Step-by-step explanation:

for 59 people we would si need to multiply 49by 25 giving 1225 handshake

Answer:

y=\(\sqrt{171}\)

Step-by-step explanation:

5^2+y^2=14^2

y^2=171

y=\(\sqrt{171}\)

since the ladder is the hypotenuse, it will be the largest in the equation

use pythagorean theorem

Since x and y are independent, we have:

fxy(x,y) = fx(x) * fy(y)

where fx(x) and fy(y) are the probability density functions of x and y, respectively.

The probability density function of a uniform(0,1) random variable is:

f(x) = 1, 0 < x < 1

= 0, otherwise

Therefore, the probability density functions of x and y are:

fx(x) = 1, 0 < x < 1

fy(y) = 1, 0 < y < 1

Using the formula for fxy(x,y), we have:

fxy(x,y) = fx(x) * fy(y) = 1 * 1 = 1, 0 < x < 1, 0 < y < 1

Since fxy(x,y) is constant on the rectangle 0 < x < 1, 0 < y < 1, the joint distribution of x and y is uniform on this rectangle.

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Answer:

x = 12

Step-by-step explanation:

-x + 8 = x - 16

add x to both sides

8 = 2x - 16

add 16 to both sides

24 = 2x

divide by 2 on both sides

x = 12

Answer:

x = 12

Step-by-step explanation:

you can do any of the following as the first step:

a)  add 'x' to each side to get:  8 = 2x - 16

b)  subtract 'x' from each side to get:  -2x + 8 = -16

c) subtract 8 from each side to get:  -x = x -24

d) add 16 to each side to get:  -x + 24 = x

if we choose to solve the equation in (a) we will get:

8 = 2x - 16

8 + 16 = 2x - 16 + 16 which simplifies to:

24 = 2x

divide each side by 2 to get x = 12

solving any of the above 4 equation will give you x = 12

The variance of a binomial random variable Y with parameters n and p is given by np(1-p). (D)

The variance of a binomial random variable represents the spread of the data around the mean. In a binomial distribution, the mean is given by np and the variance is equal to np(1-p).

This expression states that the variance is equal to the product of the probability of success (p) times the number of trials (n), multiplied by the probability of failure (1-p).

This gives us a measure of how much the data is spread out from the mean, with a higher variance indicating a greater spread.

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Answer:

3) False

4) c (-2, -1, 0, 1, 2)

Step-by-step explanation:

The domain is the set of all possible inputs for a function, which is basically the x-values.

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

\(a^{2} +b^{2}= c^{2}\)

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

\(10^2+b^{2} =20^{2}\)

Then, use the squares in the equation:

\(100+b^{2} =400\)

Then, subtract 100 from both sides to isolate b:

\(b^{2} =300\)

Finally, square root both sides to get your answer:

\(b=17.3205080757\)

Then round to the nearest tenth which gives you 17.3.

Answer: 17.3 ft

Step-by-step explanation:

The probability that a match between player V and player M will consist of three sets given that player V wins the match is 0.375.

Let P(M) be the probability that a match will consist of three sets and P(V) be the probability that player V wins the match. We can use the multiplication rule of probability to find P(M ∩ V) as follows:

\(P(M ∩ V) = P(M | V) * P(V)\)

where P(M | V) is the probability that the match consists of three sets given that player V wins.

To find P(V), we need to use the total probability rule as follows:

\(P(V) = P(M ∩ V) + P(M' ∩ V)\)

where M' is the event that the match does not consist of three sets. We can assume that there are two possible outcomes for the match, i.e., it consists of three sets (event M) or it does not (event M'). Therefore, we have:

\(P(M) + P(M') = 1\)

Let's assume that P(M) = p, then

P(M') = 1 - p.

Simplifying the equation, we get:

\(P(M | V) = (p*q) / (1 - q*(1 - p))\)

Substituting the given values of p = 0.4 and

q = 0.6, we get:

\(P(M | V) = (0.4 * 0.6) / (1 - 0.6 * (1 - 0.4))\)

= 0.24 / 0.64

= 0.375.

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Answer:

39,800+x0.18= his total pay

Your Welcome

Biffy Out!!!

Based on the above, the capacity of a 5-liter tin is about  500 cm³.

To be able to convert the capacity of a 5-liter tin to its volume in cm³, One need to use the conversion factor that is, 1 liter is equivalent to 100 cm³.

So, to be able to calculate the volume of a 5-liter tin in cm³, one have to multiply the capacity (5 liters) by the conversion factor (100 cm³/liter):

Volume in cm³ = 5 liters x 1000 cm³/liter

                           = 500 cm³

Therefore, the capacity of a 5-liter tin is about  500 cm³.

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Convert the capacity of a 5 litre tin to its volume in cm³.1litre is equivalent to 100cm³