Solve the conjunction and graph it’s solution set

y = -1 and y≥ 3

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

Area of a circle = pi x r²

So taking pi as 22/7,

Area=707.14cm²

Answer:

m<2=m<5=50

m<4=85

m<6=45

Step-by-step explanation:

Answer:

1:85 2:50 3:45 4:85 5:50 6:45

Step-by-step explanation:

pls give brainliest

1 should be like 4 and 3 should be like 6.

Like 6+1 is 130 so 2 is 50

Therefore, the work done by the force field F is 10π given by the line integral.

The work done by the force field F along the arch of the cycloid is given by the line integral of F·dr over the curve r(t), i.e.,

W = ∫C F · dr = ∫0^2π F(r(t)) · r'(t) dt

Using the given values of F(x,y) and r(t), we can compute F(r(t)) · r'(t) as follows:

F(r(t)) · r'(t) = (t - sin(t))i + (5 - cos(t))j · (cos(t)i + sin(t)j)

= (t - sin(t))cos(t) + (5 - cos(t))sin(t)

Hence, we have:

W = ∫0^2π [(t - sin(t))cos(t) + (5 - cos(t))sin(t)] dt

integration by parts, we can evaluate this integral to get:

W = [t sin(t) + (5 - cos(t))cos(t)]|0^2π

= 10π

To know more about line integral,

https://brainly.com/question/30640493

#SPJ11

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

A probability distribution is a listing of all possible outcomes along with their likelihood of occurrence.

It is a way of describing the likelihood of different outcomes in a statistical experiment or random event. It is used to calculate the probability of different events or outcomes in situations where there is uncertainty or variability. There are two types of probability distributions: discrete and continuous.

Discrete probability distributions are used when the possible outcomes of a statistical experiment are discrete or countable, such as the number of heads obtained in flipping a coin. Continuous probability distributions are used when the possible outcomes of a statistical experiment are continuous or uncountable, such as the height of people in a population.

Learn more about probability distribution here: https://brainly.com/question/24802582

#SPJ11

Answer:

3. 0

4. (0.5,1)

7. 0

Step-by-step explanation:

too lazy to calculate the rest liao

The absolute uncertainty in k is 0.018.The correct  option D. 6.90 ± 0.01.

The given equation is:k= x₁​+5y₂

Let's put the values of x and y:x = 0.598 ± 0.008

y = 1.023 ± 0.002

By substituting the values of x and y in the given equation, we get:

k = 0.598 ± 0.008 + 5(1.023 ± 0.002)

k = 0.598 ± 0.008 + 5.115 ± 0.01

k = 5.713 ± 0.018

To find the absolute uncertainty in k, we need to consider the uncertainty only.

Therefore, the absolute uncertainty in k is:Δk = 0.018

The answer is option D. 6.90 ± 0.01.

:The absolute uncertainty in k is 0.018.

To know more about absolute uncertainty visit:

brainly.com/question/14453236

#SPJ11

c.) The group of people that watched the documentary at the festival represents the population.

In this scenario, the production company is interested in collecting information on the impact of an educational documentary on everyone that watched it at the film festival. Therefore, the group of people that watched the documentary at the festival represents the population of interest.

Thus, the correct answer is c.) The group of people that watched the documentary at the festival represents the population.

Option a.) The production company is the sample is incorrect because the production company is not a group of people who watched the documentary, but rather the entity interested in collecting information on the impact of the documentary.

Option b.) The production company represents the population is incorrect because the production company is not a group of people who watched the documentary, but rather the entity interested in collecting information on the impact of the documentary.

Option d.) The group of people that watched the documentary at the festival is the sample is also incorrect because the group of people that watched the documentary at the festival is not a subset of a larger group being studied. Instead, they represent the entire population of interest.

Learn more about population here

https://brainly.com/question/29885712

#SPJ11

Answer:

Step-by-step explanation:

A ferris wheel has 32 passenger cabins. if you are sitting in cabin 14 which is currently at the top of the wheel, what is the number of the cabin at the bottom of the wheel?

32 : 2 + 14 = 30

Answer:

Step-by-step explanation:

Since there are 32 passenger cabins, each half of the wheel has:

It means the opposite cabins on the Ferris wheel have number difference of 16.

If one of the cabins has a number 14, the opposite cabin has number of:

The probability of the given situation is 0.000006.

To find the probability that more than 15 components will have to be tested in order to find 12 non-defective components, we can use the concept of the binomial distribution.

In this scenario, the probability of success (finding a non-defective component) is 1 - 0.05 = 0.95, as 5% of the components are defective. The probability of failure (finding a defective component) is 0.05.

Let's define X as the number of components tested until 12 non-defective components are found. We want to calculate P(X > 15), which is the probability that more than 15 components will need to be tested.

Using the binomial distribution formula, we have:

P(X > 15) = 1 - P(X <= 15)

P(X <= 15) = sum from k = 0 to 15 of (C(15, k) * \(0.95^{k}\) * \(0.05^{15-k}\))

Where C(15, k) is the binomial coefficient "15 choose k".

Calculating this sum of probabilities, we find:

P(X <= 15) ≈ 0.999994

Therefore,

P(X > 15) = 1 - 0.999994 ≈ 0.000006

So, the probability that more than 15 components will have to be tested in order to find 12 non-defective components is approximately 0.000006, or 0.0006%.

To learn more about probability here:

https://brainly.com/question/31828911

#SPJ4

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

To know more about probability  click on below link :

https://brainly.com/question/14210034#

#SPJ11

If we perform 6 trials with a 50% chance of success, we would expect to get exactly 5 successes in about 9.4% of the trials.

The probability of getting exactly 5 p events with n = 6 and p = 0.50 can be calculated using the binomial probability formula:

P(X = 5) = (6 choose 5) * 0.50^5 * 0.50^1 = 0.09375

where "6 choose 5" is the number of ways to choose 5 events out of 6.

So the probability of getting exactly 5 p events is 0.09375, or approximately 9.4%.

This means that if we perform 6 trials with a 50% chance of success, we would expect to get exactly 5 successes in about 9.4% of the trials.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write \(y = f(x).\)

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function \(\sqrt{x}\) so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

To know more about domain of function here

https://brainly.com/question/13113489

#SPJ4

Answer:

y'=6,-2    z'=2,-1

Step-by-step explanation:

Translations are x+4, y-4

We can apply this to the others.

y'=2+4,2-4

y'=6,-2

z'=-2+4/3-4

z'=2,-1

Answer:

$72.5

Step-by-step explanation:

4 hours of babysitting = $29.00

Therefore $29.00 divided by 4 is 1 Hour of babysitting which is $7.25

To find 10 hours we multiply $7.25 by 10 = $72.5

So Erin would make $72.5 babysitting for 10 Hours.

2

0.15 × 0.6 = 0.09

Hope this helps! :)

The value of x and y that will prove triangle ABC is congruent to DEF is 5 and 20 Respectively.

Congruent triangles have both the same shape and the same size. This means that if two angles have equal angles and equal length they are congruent.

Therefore;

48 = 9x+3

9x = 48 -3

9x = 45

divide both sides by 9

x = 45/9

x = 5

Angle D = angle C

angle D = 180-( 54+ 88)

= 180- 142

= 38

therefore ,

1.9y = 38

y = 38/1.9

y = 20

Therefore,the value of x and y that will prove triangle ABC is congruent to DEF is 5 and 20 Respectively.

learn more about congruent triangles from

https://brainly.com/question/2938476

#SPJ1

Answer:

no solution

Step-by-step explanation:

\(-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6\)

add \(2x\) to both sides

\(-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6\)

That's impossible

so the equation no solution

Answer:

All real numbers ( -∞ ,∞)

Step-by-step explanation:

          Simplify \(-2(x+3)\)

          Apply the distributive property.

\(-2x-6=-2(x+1)-4\)

          Simplify  

\(-2(x+1)-4\)

\(-2x-6=-2x -6\)

          Move all terms containing  x  to the left side of the equation.

          Add  2  x  to both sides of the equation.

\(-2x-6+2x=0\)

          Combine the opposite terms in  

\(-2x-6+2x\)

          add \(-2x\) and \(2x\)

\(0-6= -6\)

\(-6= -6\)

Since \(-6= -6\) , the equation will always be true for any value of  x .  All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

( − ∞ , ∞ )

9514 1404 393

Answer:

  180 units

Step-by-step explanation:

The perimeter of ∆XYV is ...

  Pxyv = XY +YV +VX

  Pxyv = 29 +31 +40 = 100

The triangles are similar, so the scale factor from ∆XYV to ∆XZW applies to the perimeter. That scale factor is ...

  WX/VX = (32+40)/40 = 1.8

Then ...

  Pxzw = 1.8 × Pxyv = 1.8 × 100

  Pxzw = 180 . . . units

Answer:

Step-by-step explanation:

1580-640=940 were local

No. of local fans = 940

Subtraction is one of the four basic arithmetic operations in mathematics. It represents the operation of removing objects from a collection. The minus sign signifies subtraction −.

Example: There are nine oranges arranged as a stack, out of which four oranges are transferred to a basket, then there will be, 9 – 4 oranges left in the stack, i.e. five oranges.

Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5.

Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers such as negative numbers, fractions, rational & irrational numbers, decimals, functions, matrices and vectors.

Given,

Total fans attended championship = 1580

No. of out of state fans = 640

No of local fans = total fans - no. of out of state fans

                          = 1580 - 640

No of local fans = 940

Hence, there were 940 local fans who attended football championship.

Learn more about subtraction here:

https://brainly.com/question/2346316

#SPJ2

In the account of Rodney's will have the higher ending balance after 1 year.

Given that:

Rodney invests a sum of money, P, into an account that earns interest at a rate of r, compounded yearly.

Gerald invests half that amount into an account that pays twice Rodney’s interest rate.

To find:

Which of the accounts will have the higher ending balance after 1 year?

So, according the question

We have,

For Rodney,

p = Principle = P

r = Interest rate = r

t = time expressed in year = 1 year

n = Number of periods in a year = 1

We, know that the formula to calculate the compound interest for new balance of Rodney ,

    B = \(p (1 + \frac{r}{n} )^{nt}\)

Now, putting the values,

    B = \(p (1 + \frac{r}{n} )^{nt}\)    

    B = \(P(1+\frac{r}{1} )^{1\times 1)\)

    B = \(P (1 + r )\)  

    B = P + Pr

Now, For Gerald,

p = Principle = P/2 ( Invest half of the money from Rodney )

r = Interest rate = 2r ( Twice the rate of Rodney's)

t = time expressed in year = 1 year

n = Number of periods in a year = 1

We know that the formula to calculate the compound interest for new balance of Gerald ,

    B = \(p (1 + \frac{r}{n} )^{nt}\)

Now, putting the values,

    B = \(p (1 + \frac{r}{n} )^{nt}\)    

    B = \(\frac{P}{2} (1+\frac{2r}{1} )^{1\times 1)\)

    B = \(\frac{P}{2} (1+ 2r)\)  

    B = \(\frac{P}{2}\) + Pr

Now compare the amounts of their accounts, so we can say that the amount of Rodney's account will have the higher ending balance after 1 year.

So, In the account of Rodney's will have the higher ending balance after 1 year.

To learn more about compound interest, please click on the link;

https://brainly.com/question/14295570

#SPJ1

The equation that applies the associative property of multiplication is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).

The associative property of multiplication can be defined as a property of equality which states that the product is some numbers remains the same regardless of how the factors are grouped in multiplication.

For example, according to the associative property of multiplication, (5 × 3) × 2 would give us the same product as what 5 × (3 × 2) would give us. Both would give a product of 30, irrespective of how they are grouped in multiplication.

Thus, (-9/4 * 3/2) * (6/3 * 5/7) would give the same product as -9/4 * (3/2 * 6/3) * 5/7).

Therefore, the answer is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).

Learn more about the associative property of multiplication on:

https://brainly.com/question/2061992

#SPJ1

Answer:

The answer is 1

Step-by-step explanation:

Answer:

x ≈ 5.6 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{y}\) = \(\frac{x}{8}\) ( multiply both sides by 8 )

8 × sin44° = x , then

x ≈ 5.6 cm ( to 1 dec. place )

Using a system of equations, Phyllis invested the following at each rate:

A system of equations is two or more equations solved concurrently, simultaneously, or at the same time.

The total investment = $8,000

Investment A's simple interest rate per year = 4% = 0.04 (4/100)

Investment B's simple interest rate per year = 1% = 0.01 (1/100)

The total earnings after one year from Investments A and B = $95.00

Let the amount invested in Investment A = x

Let the amount invested in Investment B = y

x + y = 8,000 Equation 1

0.04x + 0.01y = 95 Equation 2

Multiply Equation 1 by 0.04:

0.04x + 0.04y = 320 Equation 3

Subtract Equation 2 from Equation 3:

0.04x + 0.04y = 320

-

0.04x + 0.01y = 95

0.03y = 225

y = 7,500

x = 500 (x = 8,000 - 7,500)

Learn more about a system of equations at https://brainly.com/question/13729904.

#SPJ4