Solve for s.



2/3s+5/6s=2/1
all the numbers are fractions

Answer:not sure but x>-9

Step-by-step explanation:

Someone double check me

The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

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By taking a common factor, we will see that the sum is equal to:

7.014*10^(-8)

Here we have the sum

(4.014×10^(-8)) + (3×10^(-8))

So we can see that both numbers have a common factor, which is the "order factor" 10^(-8)

So, if we take that as a common factor, then the sum is just:

(4.014×10^(-8)) + (3×10^(-8)) = (4.014 + 3)*10^(-8)

Now we just do the sum, which gives:

(4.014 + 3)*10^(-8) = 7.014*10^(-8)

So the correct option is the fourth one.

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The sampling technique used in this scenario is simple random sampling.

Simple random sampling involves randomly selecting a subset of elements from a population in such a way that every element has an equal chance of being chosen.

In this case, the gardener randomly chose 2 plants from a total of 20 plants. By randomly selecting the plants, the gardener ensured that each plant had an equal probability of being included in the sample.

Simple random sampling is a common and straightforward technique used to obtain a representative sample from a larger population. It helps minimize bias and allows for generalization of the findings from the sample to the entire population.

By inspecting the randomly selected plants, the gardener can make inferences about the development of the tomato plants as a whole, assuming that the selected plants are representative of the entire population of tomato plants.

Therefore, the gardener utilized a simple random sampling technique by randomly selecting and inspecting two out of twenty tomato plants to assess their development.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Probability is a branch of mathematics that deals with the occurrence of a random event.

Variance is  1.25 and standard deviation is  1.12 .

Since, Four balls numbered 1, 2, 3, and 4 are placed in a bowl

Here, X is random variable and it represents ball with number and P(X) represents probability.

X              1         2          3          4

P(X)         1/4       1/4       1/4        1/4

Mean (μ) = ΣXP(X)

              =  1/4  + 1/2 + 3/4 + 4/4

              = 5/2

Variance = Σ (X^2P(X))  - μ^2

Σ (X^2P(X))  = 1/4 + 4/4 + 9/4 + 16/4

              = 30/4 = 7.5

So, Variance = 7.5 - 6.25 = 1.25

\(Deviation = \sqrt{Variance}\)

Standard deviation =  \(\sqrt{1.25}\) = 1.12

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I understand that you want to know the consequences of rounding off answers when solving an integer programming problem by treating it as a linear programming problem. Here's my explanation:

When you solve an integer programming problem as a linear programming problem and then round off the answers, you may encounter the following issues:

1. The values of decision variables obtained by rounding off might be sub-optimal: Rounding off can lead to a solution that is not the true optimal integer solution, as linear programming allows fractional values that might not be feasible in the integer problem.

2. The values of decision variables obtained by rounding off might violate some constraints: Rounding off can result in values that do not satisfy the integer constraints, which could render the solution infeasible for the original integer problem.

3. The values of decision variables obtained by rounding off are not always very close to the optimal values: Although it is possible for the rounded solution to be close to the optimal integer solution, there is no guarantee that this will be the case, as the linear relaxation might lead to significantly different values.

In summary, when solving an integer programming problem by treating it as a linear programming problem and rounding off the answers, you might encounter sub-optimal solutions, constraint violations, and values that are not very close to the true optimal integer values.

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The slope of the line as shown in the diagram attached below = rise/run = 3/5.

The rise of a line over the run of a line would give us the slope of a line on a coordinate plane.

With the given line in the diagram, the image attached below shows the rise as represented by a red line while the run is represented by the blue line.

Therefore, we have:

Run = 10 units

Rise = 6 units

Slope (m) of the line = rise/run = 6/10

Simplify

Slope (m) of the line =  3/5

Therefore, the slope of the line as shown in the diagram attached below = rise/run = 3/5.

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Answer:

the first graph it proportional

Answer:

the green table is proportional and the blue isnt

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Slope is the number in front of the x

Answer:

Distance is 566.21 ft

Step-by-step explanation:

sin 26=h/d

(1)step:0.438=248/d

(2)step:d=248/0.438

(3)step:d=566.21 ft

Answer:

508 ft

Step-by-step explanation:

See attachment.

We need to use trigonometry to solve this, specifically, tangent, which is opposite divided by adjacent.

Here, our angle is 26 degrees, and our opposite side is 248 feet. Let's denote the adjacent side as x. Now, write the equation:

tan(26) = 248 / x

Multiply both sides by x and divide both sides by sin/tan(26):

x = 248 ÷ tan(26) ≈ 508.47 ≈ 508 ft

Petro made no mistake in solving the system of equations by the elimination method.

The system of equations in the context of this problem is defined as follows:

By the elimination method, we can add the two equations, then eliminating the variable x.

Hence the value of y can be obtained as follows:

6y = 12

y = 12/6

y = 2.

This was the exact procedure done by Pedro, which means that he made no mistake in solving the system of equations by the elimination method.

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Arlene buys a phone case and charging cord for 15% off

Discount on case and cord = 15%

Original cost of case = $18

Total discount amount = $4.20

Let the original cost of charging cord = x

So, Arlene buys a phone case and charging cord for 15% off = 15% of cost of cord and case

15% of cord and case = 15% of (x + 18)

as the discount amonut ins $18

15% of cord and case = 15% of (x + 18)

15% of cord and case = 4.20

15% of (x + 18) = 4.20

So, the expression is : 15(x + 18) = 420

Simplify the expression for x :

15(x + 18) = 420

15x + 270 = 420

15x = 420 - 270

15x = 150

x = 150/15

x = 10

So, the cost of charging cord is $10

Answer : equation : 15(x + 18) = 420

$10

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

Answer:

x= -45

Step-by-step explanation:

Subtract 5 from both sides first

Simplify it

Multiply both sides by 3

Simplify it again

Divide both sides by -2

your answer would be x= -45

Answer:

A.-2x2+-1

Step-by-step explanation:

(-7x+5)-(2x2-8x+6)

-7x+5-2x2+8x-6 then collect like terms

-2x2-7x+8x+5-6

-2x2-x+1

If it's helpful ❤❤❤

THANK YOU

Expression is a set of numbers, variables, and mathematical operations. The standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As the expression is given to us (-7x + 5) - (2x² – 8x + 6), in order to simplify the problem we need to open the brackets. therefore, the expression can be solved as,

\((-7x + 5) - (2x^2 - 8x + 6)\\\\= -7x + 5 - 2x^2 + 8x - 6\\\\ = -2x^2+8x-7x-6+5\\\\=-2x^2 + x - 1\)

Hence, the standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.

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Answer:

Exterior = 22.5 degrees

Interior = 157.5 degrees

Step-by-step explanation:

Exterior angles = 360/16 = 22.5

Interior Angles = 180 - 22.5 = 157.5

Answer:

0.16666666666667.

Step-by-step explanation:

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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The product of Matrix XY is [2].

A matrix is an array of rows and columns containing numbers, symbols, or expressions that is rectangular in shape.

In linear algebra, matrices describe linear mappings and enable explicit computations. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices.

Given matrices X = [-1    0]

and  Y = \(\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]\)

product of the matrix is done with the dot product of rows and column

[ a     b]\(\left[\begin{array}{ccc}c\\d\\\end{array}\right]\) = [ac + bd]

product of XY is [-1    0] \(\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]\)  = [-1(-2)  + 0(-1)]

XY = [2]

Hence the measure of XY is [2].

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Therefore, the 90% confidence interval for p is approximately (0.4959, 0.5375) that is option B.

To calculate the 90% confidence interval for the proportion (p) of registered voters who would vote for the Republican candidate, we can use the formula:

Confidence interval = p ± z * √((p(1-p))/n)

where:

p is the sample proportion (620/1200 = 0.5167),

z is the z-score corresponding to the desired confidence level (90% corresponds to a z-score of approximately 1.645),

n is the sample size (1200).

Substituting the values into the formula:

Confidence interval = 0.5167 ± 1.645 * √((0.5167*(1-0.5167))/1200)

Calculating the confidence interval:

Confidence interval ≈ 0.5167 ± 1.645 * √(0.2497/1200)

Confidence interval ≈ 0.5167 ± 1.645 * 0.0126

Confidence interval ≈ 0.5167 ± 0.0208

Confidence interval ≈ (0.4959, 0.5375)

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Given:

Principal value = $1200

Rate of interest = 3% per year

To find:

The interest earned by Jenny in one year.

Solution:

Formula of interest:

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is rate of interest and t is time.

We have, P = 1200, r = 3, t=1. Putting these values, we get

\(I=\dfrac{1200\times 3\times 1}{100}\)

\(I=\dfrac{3600}{100}\)

\(I=36\)

The interest earned by Jenny in one year is $36.

Therefore, the correct option is A.

Answer:

≈ 44°

The correct answer is the second one

Step-by-step explanation:

Use trigonometry:

\( \cos(x°) = \frac{15}{21} \)

Use the reverse function (SHIFT, cos) on your calculator to find x:

\(x≈44°\)

Check the picture below.

\(\cos(x )=\cfrac{\stackrel{adjacent}{15}}{\underset{hypotenuse}{21}}\implies \cos(x)=\cfrac{5}{7}\implies x=\cos^{-1}\left( \cfrac{5}{7} \right)\implies x\approx 44^o\)

Make sure your calculator is in Degree mode.

Answer:

$80 is not enough to pay for the service

Step-by-step explanation:

Let us explain how we can solve the problem with tax added

In the question the given is:

∵ The fee to groom the dog is $75

∵ The tax added is 6.75%

→ Assume that the fee of groom = 100%

∴ The fee after-tax = 100% + 6.75% = 106.75%

→ To find the fee after-tax multiply the fee before the tax by

   the percentage fee after-tax, remember to change the percentage

   to a normal number

∴ The fee after-tax = 75 × 106.75%

∴ The fee after-tax = 75 × (106.75/100)

∴ The fee after-tax = $80.0625

∵ He has $80

∵ $80.0625 > $80

∴ That means he has not enough money to pay for the service

∴ $80 is not enough to pay for the service

Answer:

3/5 * 4

Step-by-step explanation:

3/5 divided by 1/4 = 12/5

3/5 * 4 also is 12/5

In division, you always switch the denominator and the numerator around for the second term and you will get a multiplication equation with a reciprocal.

For 3/5 divided by 1/4 as an example, switch the fraction 1/4 to 4/1 and you will have a multiplication equation with the same answer.

3/5 * 4 or 3/5 * 4/1 and you will get 12/5

So that's a way for an division expression to equal a multiplication equation.

Hope it helped! And trust me, I am an expert.

Answer:

The answer is 3/5 x 4/1

Step-by-step explanation:

Answer:

The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least.  For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.

Step-by-step explanation:

The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.

The mean is the average of a group of data. The data set  added up and divided by the number of data. The mean is sensitive to extreme data.

When 7 is changes to a 70 then mean and standard deviation both changes.

For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.

The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.

Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.

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Answer:

98 degrees, by the alternate interior angles theorem

Step-by-step explanation: