9 + 3.5g = 11 – 0.5
g

Answer:

n=-2

Step-by-step explanation:

6n-1=4n-5

6n-4n=2n

2n-1=-5

-5+1=-4

2n=-4

-4/2=n

-2=n

tip:its not what you will chose from, its what number will make each side equal to each other

The sοlutiοn tο the equatiοn is x=7.

An equatiοn is an expressiοn that uses mathematical symbοls tο express the relatiοnship between twο οr mοre variables. Equatiοns are used tο describe physical laws, mοdel real-wοrld prοblems, and sοlve mathematical prοblems. Equatiοns can be written in a variety οf fοrms, frοm simple linear equatiοns tο cοmplex nοnlinear equatiοns. Equatiοns can alsο be used tο determine the prοperties οf certain functiοns and tο evaluate integrals.

Sοlving fοr x,

−10(−x+1)+10+10(x+3)=0

−10x+10−10x+10+100+30=0

−20x+140=0

20x=140

x=7

This equatiοn is an example οf a linear equatiοn. Linear equatiοns are equatiοns that invοlve οnly οne variable and can be represented in the fοrm ax + b = 0, where x is the variable and a and b are cοnstants. Linear equatiοns are useful fοr understanding the relatiοnship between different variables and can be used tο sοlve real-wοrld prοblems. In this equatiοn, the variable x is the unknοwn value that we are trying tο sοlve fοr. By rearranging the equatiοn and applying the apprοpriate algebraic οperatiοns, we were able tο sοlve fοr x. This is an example οf hοw linear equatiοns can be used tο sοlve real-wοrld prοblems.

To know more about equation click-

brainly.com/question/2972832

#SPJ1

Solve for x in given expression.

10 + 10(x + 3) = −x −10(−x + 1)

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answer:

10 - 4y

Step-by-step explanation:

Combine like terms.  12, 21 and -23 add up to 10, and -5y + y is -4y.

Then, together, we have 10 - 4y (answer)

Answer:

\(\large\boxed{10 - 4y}\)

Step-by-step explanation:

12 - 5y + 21 + y - 23

Combine like terms (add -5y to + y)

12 + 21 - 4y - 23

Add 12 + 21

33 - 4y - 23

Subtract 23 from 33

\(\large\boxed{10 - 4y}\)

This is the simplest form of the expression.

Hope this helps :)

Please find attached photograph. The monomial is a.

Answer:

6.07

Step-by-step explanation:

Answer:

6.072289157

(6.07 rounded up)

Hope this helps!

To determine the reliability factor based on the t-distribution for a 97% confidence interval and a sample size of 35, we need to find the critical value associated with a two-tailed test.

Since the confidence level is 97%, we can find the significance level (α) by subtracting the confidence level from 1:

α = 1 - 0.97 = 0.03

Since it's a two-tailed test, we divide the significance level by 2 to find each tail's area:

α/2 = 0.03/2 = 0.015

With a sample size of 35, we have n - 1 degrees of freedom, which is 35 - 1 = 34.

Now, we can look up the critical value in the t-distribution table or use statistical software to find the value associated with a 0.015 area in the tails, with 34 degrees of freedom.

Using the t-distribution table or a calculator, the reliability factor for a 97% confidence interval and a sample size of 35 is approximately 2.4049 (rounded to four decimal places). When rounded to two decimal places as requested, the reliability factor is 2.40.

Learn more about reliability here:

https://brainly.com/question/29462744

#SPJ11

The mean time some people spent mowing their lawn is 1.01

Mean

Mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given,

Here we have the table of data.

Now, we need to estimate for the mean time some people spent mowing their lawn.

According to the given problem, the mean is calculated for each time interval, then we get,

For the time period 0 ≤ t < 10, then the mean is,

=> 3/(3 + 11 + 14 + 2)

=> 3/30

=> 0.1

For the time period 10 ≤ t < 20, then the mean is,

=> 11/(3 + 11 + 14 + 2)

=> 11/30

=> 0.37

For the time period 20 ≤ t < 40, then the mean is,

=> 14/(3 + 11 + 14 + 2)

=> 14/30

=> 0.47

For the time period 40 ≤ t < 60, then the mean is,

=> 2/(3 + 11 + 14 + 2)

=> 2/30

=> 0.07

So, the mean time is obtained by adding the values,

=> (0.1 + 0.37 + 0.47 + 0.07)

=> 1.01

To know more about Mean here.

https://brainly.com/question/22871228

#SPJ1

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

Learn more about harvest here:

brainly.com/question/16953777

#SPJ11

Answer:

image 1 is a point. Image 2 is a line . image 3 is a line . image 4 is a segment . image 5 is a ray . image 6 is a plane . image 7 is a plane .

Step-by-step explanation:

a plane is named by an italicized letter and has 3 non collinear points. Its infinite .

A point is a dot.

a line has no end its infinite .

A segment has two endpoints and isnt infinite.

A ray has one endpoint and goes infinte in one direction only .

The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2706 or 27.06%.

In order to determine the probability of exactly two flaws in a 50-yard piece of material, we will use the Poisson distribution formula.

The Poisson distribution is used to calculate the probability of a given number of events occurring in a fixed interval of time or space when these events happen independently of each other and at an average rate.

To find the probability of exactly two flaws in a 50-yard piece of material, we will use the following formula:

P(X = k) = (e^(-λ) * λ^k) / k!

Where: P(X = k) is the probability of k flaws occurring in a 50-yard piece of material

λ = the average rate of flaws per unit of material (in this case, 50 yards)

k = the number of flaws we want to calculate is the mathematical constant ≈ 2.71828...

k! is the factorial of k, which is the product of all positive integers up to k

Let's plug in the values we have for this problem:

P(X = 2) = (e^(-λ) * λ^2) / 2!

λ = 2 flaws per 50 yards of material produced = 2/50 = 0.04 flaws per yard.

Therefore, the average number of flaws in a 50-yard piece of material is:

λ = 0.04 * 50 = 2e is a mathematical constant that equals ≈ 2.71828...

Then, let's plug in these values into the formula:

P(X = 2) = (e^(-2) * 2^2) / 2!P(X = 2) = (0.1353 * 4) / 2P(X = 2) = 0.2706

The probability of exactly two flaws occurring in a 50-yard piece of material is 0.2706 or approximately 27.06%.

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2706 or 27.06%.

Learn more about Poisson distribution here:

https://brainly.com/question/30388228

#SPJ11

Answer:

y - y1 = m(x - x1)

y-3=7( x - (- 1)

y - 3 = 7(x + 1)

y = 7x + 7 + 3

y = 7x + 10✨

Step-by-step explanation:

The group that would best represent the sample population is; D: Every fifth person walking down the street in several different locations..

A sample population is simply a subset of the main population. Now, in this question we see that a poll is being taken on Wednesday to predict which movie will be the most popular at the city’s movie theaters the next weekend.

Now, since we are looking for sample population, the one that will best represent it will be Option D. This is because - Different locations through out the city at Different time has maximum randomness.

Read more about Sample Population at; https://brainly.com/question/7301139

Answer:

c

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

hope this helps

Answer:

Amount withdrawal = $2,847.66 (Approx)

Step-by-step explanation:

Given:

Amount deposit = $5,000

Withdraws percent = 10 % = 0.1

Number of weeks = 8

Find:

Amount withdrawal

Computation:

Amount withdrawal = 5,000[1-(0.1)⁸]

Amount withdrawal = 5,000[0.56953279]

Amount withdrawal = $2,847.66 (Approx)

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

Learn more about the rolle's theorem here:

https://brainly.com/question/13972986

#SPJ4

The description refers to the diagnosis of brief psychotic disorder, which consists of abnormal behaviors identical to those in schizophrenia lasting for at least 1 month but fewer than 6 months.

Brief psychotic disorder is a psychiatric diagnosis characterized by the presence of psychotic symptoms, such as hallucinations, delusions, disorganized thinking, or grossly disorganized or catatonic behavior. These symptoms are similar to those seen in schizophrenia, but the key distinction is that brief psychotic disorder lasts for a shorter duration, specifically between 1 month and 6 months.

During this period, individuals with brief psychotic disorder may experience a sudden onset of symptoms that significantly impact their thoughts, emotions, and behavior. However, unlike schizophrenia, the duration of symptoms in brief psychotic disorder is limited, typically resolving within a few weeks to a few months.

To know more about diagnosis,

https://brainly.com/question/28274987

#SPJ11

Answer:

c + p <= 20

2c >= p

Step-by-step explanation:

We can declare our variables as:

c = pounds of chicken

p = pounds of pork

The total meat can be expressed as c + p, and at most signifies that the family needs 20 pounds or less. Putting this together, one equation becomes c + p <= 20.

The family additionally wants at least 2 * c as p, which means that 2*c is greater than or equal to p, or 2c >= p.

hope this helps :)

Answer:

y=-7

Step-by-step explanation:

just simplify it

4+y=-3

y=-3-4

y=-7

Answer:

Step-by-step explanation:

LENGTHS: P, Q, R

AREAS: A, B

CODE: PLRAQB

Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.

The given table is:

Job Male Female

Faculty Member 55 5

Salaried Staff 15 25

Hourly Staff 30 20

The total number of female employees is 5+25+20 = 50.

We are to find the probability of an employee being a member of the hourly staff given that the employee is female.

Mathematically, we can represent the above statement as:

P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)

Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100

Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2

Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

Know more about probability here:

https://brainly.com/question/25839839

#SPJ11

Answer:

15.24 square meters

Step-by-step explanation:

Step-by-step explanation:

\(3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)\)

lim n -> infinity an = 1.

To find the smallest value of M such that |an - 1| < t for all n > M, we can start by manipulating the inequality:

|an - 1| = |(n+1)/(n+2) - 1| = |n - 1| / |n + 2|

Since we want this expression to be less than t, we can write:

|n - 1| / |n + 2| < t

Multiplying both sides by |n + 2|, we get:

|n - 1| < t|n + 2|

We can split this inequality into two cases: n > 2 and n <= 2. For n > 2, we can drop the absolute values to get:

n - 1 < t(n + 2)

Expanding the right-hand side, we get:

n - 1 < tn + 2t

Solving for n, we get:

n > (1 - 2t) / (1 - t)

For n <= 2, we can drop the absolute values and reverse the inequality to get:

1 - n < t(n + 2)

Expanding the right-hand side, we get:

1 - n < tn + 2t

Solving for n, we get:

n > (1 - 2t) / (1 + t)

Therefore, the smallest value of M is the maximum of the values obtained from these two cases:

M = ceil(max((1 - 2t) / (1 - t), (1 - 2t) / (1 + t)))

Now, let's use the limit definition to prove that lim n -> infinity an = 1. We need to show that for any t > 0, there exists an integer N such that |an - 1| < t for all n > N.

Using the expression for an, we can write:

|an - 1| = |(n+1)/(n+2) - 1| = 1/(n+2)

Therefore, we need to find an integer N such that 1/(n+2) < t for all n > N. Solving for n, we get:

n > 1/t - 2

Therefore, we can choose N = ceil(1/t - 2) + 1. Then for any n > N, we have:

n > 1/t - 2

n + 2 > 1/t

1/(n+2) < t

Therefore, lim n -> infinity an = 1.

Learn more about  smallest value

brainly.com/question/29122137

#SPJ11

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

To know more about expression, visit:
https://brainly.com/question/1859113
#SPJ1